%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT153^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:48:58 AM UTC 2026
% Result : Theorem 50.45s 9.80s
% Output : Refutation 50.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : DAT153^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.27 % Computer : n016.cluster.edu
% 0.24/0.27 % Model : x86_64 x86_64
% 0.24/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.27 % Memory : 8046.5625MB
% 0.24/0.27 % OS : Linux 6.8.0-71-generic
% 0.24/0.27 % CPULimit : 300
% 0.24/0.27 % WCLimit : 300
% 0.24/0.27 % DateTime : Tue Sep 29 18:07:05 UTC 2026
% 0.24/0.27 % CPUTime :
% 0.24/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.33 Running first-order model finding
% 0.24/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.99/1.71 % (704549)Will run a generic schedule for satisfiability detection.
% 8.99/1.71 % (704560)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=573412763:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.99/1.71 % (704554)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4199637380_2999 on theBenchmark for (2999ds/0Mi)
% 8.99/1.71 % (704555)% WARNING: option uhcvi not known.
% 8.99/1.71 % (704555)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3272243783:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.99/1.71 % (704556)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3422221665:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.99/1.71 % (704557)dis+10_1_sil=32000:sp=arity:random_seed=1576508814:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.99/1.71 % (704558)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2623843344:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.99/1.71 % (704559)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=95769703:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.99/1.71 % (704555)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.99/1.71 % Exception at run slice level
% 8.99/1.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.99/1.71 % (704558)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.99/1.71 % (704555)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.99/1.71 % (704568)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2951743673:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.99/1.71 % (704560)Instruction limit reached!
% 8.99/1.71 % (704560)------------------------------
% 8.99/1.71 % (704560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.99/1.71 % (704560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/1.71 % (704560)CaDiCaL version: 2.1.3
% 8.99/1.71 % (704560)Termination reason: Instruction limit
% 8.99/1.71 % (704560)Termination phase: Saturation
% 8.99/1.71 % (704560)Time elapsed: 0.072 s
% 8.99/1.71 % (704560)Peak memory usage: 14 MB
% 8.99/1.71 % (704560)Instructions burned: 159 (million)
% 8.99/1.71 % (704570)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1788244387:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.99/1.71 % (704557)Instruction limit reached!
% 8.99/1.71 % (704557)------------------------------
% 8.99/1.71 % (704557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.99/1.71 % (704557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/1.71 % (704557)CaDiCaL version: 2.1.3
% 8.99/1.71 % (704557)Termination reason: Instruction limit
% 8.99/1.71 % (704557)Termination phase: Saturation
% 8.99/1.71 % (704557)Time elapsed: 0.084 s
% 8.99/1.71 % (704557)Peak memory usage: 12 MB
% 8.99/1.71 % (704557)Instructions burned: 103 (million)
% 8.99/1.71 % (704558)Instruction limit reached!
% 8.99/1.71 % (704558)------------------------------
% 8.99/1.71 % (704558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.99/1.71 % (704558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/1.71 % (704558)CaDiCaL version: 2.1.3
% 8.99/1.71 % (704558)Termination reason: Instruction limit
% 8.99/1.71 % (704558)Termination phase: Saturation
% 8.99/1.71 % (704558)Time elapsed: 0.097 s
% 8.99/1.71 % (704558)Peak memory usage: 13 MB
% 8.99/1.71 % (704558)Instructions burned: 116 (million)
% 8.99/1.71 % (704572)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3703379463:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.99/1.71 % (704559)Instruction limit reached!
% 8.99/1.71 % (704559)------------------------------
% 8.99/1.71 % (704559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.99/1.71 % (704559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/1.71 % (704559)CaDiCaL version: 2.1.3
% 8.99/1.71 % (704559)Termination reason: Instruction limit
% 8.99/1.71 % (704559)Termination phase: Saturation
% 8.99/1.71 % (704559)Time elapsed: 0.109 s
% 8.99/1.71 % (704559)Peak memory usage: 13 MB
% 8.99/1.71 % (704559)Instructions burned: 131 (million)
% 8.99/1.71 % Exception at run slice level
% 34.44/5.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.44/5.23 % (704572)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 34.44/5.23 % (704573)ott-21_1_sil=16000:fs=off:random_seed=1778858740:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 34.44/5.23 % (704570)Instruction limit reached!
% 34.44/5.23 % (704570)------------------------------
% 34.44/5.23 % (704570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.44/5.23 % (704570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.23 % (704570)CaDiCaL version: 2.1.3
% 34.44/5.23 % (704570)Termination reason: Instruction limit
% 34.44/5.23 % (704570)Termination phase: Saturation
% 34.44/5.23 % (704570)Time elapsed: 0.061 s
% 34.44/5.23 % (704570)Peak memory usage: 13 MB
% 34.44/5.23 % (704570)Instructions burned: 135 (million)
% 34.44/5.23 % (704575)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1420696379:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 34.44/5.23 % (704576)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1686836343:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 34.44/5.23 % (704572)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.44/5.23 % Exception at run slice level
% 34.44/5.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.44/5.23 % (704583)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1958048869:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 34.44/5.23 % (704579)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3701511125:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 34.44/5.23 % Exception at run slice level
% 34.44/5.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.44/5.23 % (704573)Instruction limit reached!
% 34.44/5.23 % (704573)------------------------------
% 34.44/5.23 % (704573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.44/5.23 % (704573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.23 % (704573)CaDiCaL version: 2.1.3
% 34.44/5.23 % (704573)Termination reason: Instruction limit
% 34.44/5.23 % (704573)Termination phase: Saturation
% 34.44/5.23 % (704573)Time elapsed: 0.144 s
% 34.44/5.23 % (704573)Peak memory usage: 13 MB
% 34.44/5.23 % (704573)Instructions burned: 180 (million)
% 34.44/5.23 % (704586)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=630173784:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 34.44/5.23 % (704587)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3141483302:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 34.44/5.23 % (704586)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 34.44/5.23 % (704587)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 34.44/5.23 % (704572)Instruction limit reached!
% 34.44/5.23 % (704572)------------------------------
% 34.44/5.23 % (704572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.44/5.23 % (704572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.44/5.23 % (704572)CaDiCaL version: 2.1.3
% 34.44/5.23 % (704572)Termination reason: Instruction limit
% 34.44/5.23 % (704572)Termination phase: Saturation
% 34.44/5.23 % (704572)Time elapsed: 0.348 s
% 34.44/5.23 % (704572)Peak memory usage: 15 MB
% 34.44/5.23 % (704572)Instructions burned: 684 (million)
% 34.44/5.23 % (704590)fmb+10_1_sil=64000:random_seed=2458419909:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 34.44/5.23 % (704590)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 34.44/5.23 % Exception at run slice level
% 34.44/5.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.44/5.23 % (704592)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=95259937:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 34.44/5.23 % (704575)Instruction limit reached!
% 34.44/5.23 % (704575)------------------------------
% 34.44/5.23 % (704575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.44/5.23 % (704575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.54/9.37 % (704575)CaDiCaL version: 2.1.3
% 63.54/9.37 % (704575)Termination reason: Instruction limit
% 63.54/9.37 % (704575)Termination phase: Saturation
% 63.54/9.37 % (704575)Time elapsed: 0.390 s
% 63.54/9.37 % (704575)Peak memory usage: 14 MB
% 63.54/9.37 % (704575)Instructions burned: 477 (million)
% 63.54/9.37 % (704594)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3131736958:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 63.54/9.37 % Exception at run slice level
% 63.54/9.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 63.54/9.37 % Exception at run slice level
% 63.54/9.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 63.54/9.37 % (704596)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=410077151:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 63.54/9.37 % (704597)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1689118385:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 63.54/9.37 % (704596)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 63.54/9.37 % (704597)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 63.54/9.37 % (704597)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 63.54/9.37 % (704586)Instruction limit reached!
% 63.54/9.37 % (704586)------------------------------
% 63.54/9.37 % (704586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.54/9.37 % (704586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.54/9.37 % (704586)CaDiCaL version: 2.1.3
% 63.54/9.37 % (704586)Termination reason: Instruction limit
% 63.54/9.37 % (704586)Termination phase: Saturation
% 63.54/9.37 % (704586)Time elapsed: 0.584 s
% 63.54/9.37 % (704586)Peak memory usage: 16 MB
% 63.54/9.37 % (704586)Instructions burned: 692 (million)
% 63.54/9.37 % (704604)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=903215172:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 63.54/9.37 % Exception at run slice level
% 63.54/9.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 63.54/9.37 % (704606)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1302521642:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 63.54/9.37 % (704587)Instruction limit reached!
% 63.54/9.37 % (704587)------------------------------
% 63.54/9.37 % (704587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.54/9.37 % (704587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.54/9.37 % (704587)CaDiCaL version: 2.1.3
% 63.54/9.37 % (704587)Termination reason: Instruction limit
% 63.54/9.37 % (704587)Termination phase: Saturation
% 63.54/9.37 % (704587)Time elapsed: 0.682 s
% 63.54/9.37 % (704587)Peak memory usage: 19 MB
% 63.54/9.37 % (704587)Instructions burned: 879 (million)
% 63.54/9.37 % (704610)ott-2_1_sil=16000:newcnf=on:random_seed=3034222655:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 63.54/9.37 % Exception at run slice level
% 63.54/9.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 63.54/9.37 % (704610)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 63.54/9.37 % (704612)ott+10_1_sil=32000:tgt=ground:random_seed=3780765160:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 63.54/9.37 % (704579)Instruction limit reached!
% 63.54/9.37 % (704579)------------------------------
% 63.54/9.37 % (704579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.54/9.37 % (704579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.54/9.37 % (704579)CaDiCaL version: 2.1.3
% 63.54/9.37 % (704579)Termination reason: Instruction limit
% 63.54/9.37 % (704579)Termination phase: Saturation
% 63.54/9.37 % (704579)Time elapsed: 1.047 s
% 63.54/9.37 % (704579)Peak memory usage: 19 MB
% 63.54/9.37 % (704579)Instructions burned: 1179 (million)
% 63.54/9.37 % (704615)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=479767304:i=54282_2986 on theBenchmark for (2986ds/54282Mi)
% 63.54/9.37 % (704597)Instruction limit reached!
% 63.54/9.37 % (704597)------------------------------
% 63.54/9.37 % (704597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.54/9.37 % (704597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.80 % (704597)CaDiCaL version: 2.1.3
% 50.45/9.80 % (704597)Termination reason: Instruction limit
% 50.45/9.80 % (704597)Termination phase: Saturation
% 50.45/9.80 % (704597)Time elapsed: 0.695 s
% 50.45/9.80 % (704597)Peak memory usage: 17 MB
% 50.45/9.80 % (704597)Instructions burned: 1473 (million)
% 50.45/9.80 % (704618)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2898286062:i=3512:aac=none_2986 on theBenchmark for (2986ds/3512Mi)
% 50.45/9.80 % Exception at run slice level
% 50.45/9.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.45/9.80 % (704620)dis+21_1_sil=32000:sas=cadical:random_seed=1283002550:i=3773:amm=off_2985 on theBenchmark for (2985ds/3773Mi)
% 50.45/9.80 % (704618)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 50.45/9.80 % (704610)Instruction limit reached!
% 50.45/9.80 % (704610)------------------------------
% 50.45/9.80 % (704610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.45/9.80 % (704610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.80 % (704610)CaDiCaL version: 2.1.3
% 50.45/9.80 % (704610)Termination reason: Instruction limit
% 50.45/9.80 % (704610)Termination phase: Saturation
% 50.45/9.80 % (704610)Time elapsed: 0.751 s
% 50.45/9.80 % (704610)Peak memory usage: 17 MB
% 50.45/9.80 % (704610)Instructions burned: 870 (million)
% 50.45/9.80 % (704624)ott+11_1_sil=16000:gs=on:random_seed=3704828896:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2981 on theBenchmark for (2981ds/2251Mi)
% 50.45/9.80 % (704624)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 50.45/9.80 % (704620)Instruction limit reached!
% 50.45/9.80 % (704620)------------------------------
% 50.45/9.80 % (704620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.45/9.80 % (704620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.80 % (704620)CaDiCaL version: 2.1.3
% 50.45/9.80 % (704620)Termination reason: Instruction limit
% 50.45/9.80 % (704620)Termination phase: Saturation
% 50.45/9.80 % (704620)Time elapsed: 1.674 s
% 50.45/9.80 % (704620)Peak memory usage: 30 MB
% 50.45/9.80 % (704620)Instructions burned: 3774 (million)
% 50.45/9.80 % (704642)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3260760563:fmbsr=1.6:i=67534_2968 on theBenchmark for (2968ds/67534Mi)
% 50.45/9.80 % Exception at run slice level
% 50.45/9.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.45/9.80 % (704644)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2225146164:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2968 on theBenchmark for (2968ds/4591Mi)
% 50.45/9.80 % (704624)Instruction limit reached!
% 50.45/9.80 % (704624)------------------------------
% 50.45/9.80 % (704624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.45/9.80 % (704624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.80 % (704624)CaDiCaL version: 2.1.3
% 50.45/9.80 % (704624)Termination reason: Instruction limit
% 50.45/9.80 % (704624)Termination phase: Saturation
% 50.45/9.80 % (704624)Time elapsed: 1.953 s
% 50.45/9.80 % (704624)Peak memory usage: 23 MB
% 50.45/9.80 % (704624)Instructions burned: 2252 (million)
% 50.45/9.80 % (704652)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2745589285:i=29340_2962 on theBenchmark for (2962ds/29340Mi)
% 50.45/9.80 % (704618)Instruction limit reached!
% 50.45/9.80 % (704618)------------------------------
% 50.45/9.80 % (704618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.45/9.80 % (704618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.80 % (704618)CaDiCaL version: 2.1.3
% 50.45/9.80 % (704618)Termination reason: Instruction limit
% 50.45/9.80 % (704618)Termination phase: Saturation
% 50.45/9.80 % (704618)Time elapsed: 2.955 s
% 50.45/9.80 % (704618)Peak memory usage: 27 MB
% 50.45/9.80 % (704618)Instructions burned: 3513 (million)
% 50.45/9.80 % (704664)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2595476339:i=5211_2956 on theBenchmark for (2956ds/5211Mi)
% 50.45/9.80 % (704596)Instruction limit reached!
% 50.45/9.80 % (704596)------------------------------
% 50.45/9.80 % (704596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.45/9.80 % (704596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.80 % (704596)CaDiCaL version: 2.1.3
% 50.45/9.80 % (704596)Termination reason: Instruction limit
% 50.45/9.80 % (704596)Termination phase: Saturation
% 50.45/9.80 % (704596)Time elapsed: 4.228 s
% 50.45/9.80 % (704596)Peak memory usage: 35 MB
% 50.45/9.80 % (704596)Instructions burned: 5131 (million)
% 50.45/9.80 % (704668)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=576216955:i=5497:nm=2_2951 on theBenchmark for (2951ds/5497Mi)
% 50.45/9.80 % Exception at run slice level
% 50.45/9.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.45/9.80 % (704672)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=582054790:fmbsr=2:i=46332_2950 on theBenchmark for (2950ds/46332Mi)
% 50.45/9.80 % (704644)Instruction limit reached!
% 50.45/9.80 % (704644)------------------------------
% 50.45/9.80 % (704644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.45/9.80 % (704644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.80 % (704644)CaDiCaL version: 2.1.3
% 50.45/9.80 % (704644)Termination reason: Instruction limit
% 50.45/9.80 % (704644)Termination phase: Saturation
% 50.45/9.80 % (704644)Time elapsed: 1.836 s
% 50.45/9.80 % (704644)Peak memory usage: 19 MB
% 50.45/9.80 % (704644)Instructions burned: 4593 (million)
% 50.45/9.80 % (704674)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3031232543:i=14071_2949 on theBenchmark for (2949ds/14071Mi)
% 50.45/9.80 % Exception at run slice level
% 50.45/9.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.45/9.80 % Exception at run slice level
% 50.45/9.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.45/9.80 % (704677)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2962914052:i=22565:add=on:rawr=on_2949 on theBenchmark for (2949ds/22565Mi)
% 50.45/9.80 % (704679)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2253970294:i=8173:av=off_2949 on theBenchmark for (2949ds/8173Mi)
% 50.45/9.80 % (704612)Instruction limit reached!
% 50.45/9.80 % (704612)------------------------------
% 50.45/9.80 % (704612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.45/9.80 % (704612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.80 % (704612)CaDiCaL version: 2.1.3
% 50.45/9.80 % (704612)Termination reason: Instruction limit
% 50.45/9.80 % (704612)Termination phase: Saturation
% 50.45/9.80 % (704612)Time elapsed: 4.458 s
% 50.45/9.80 % (704612)Peak memory usage: 35 MB
% 50.45/9.80 % (704612)Instructions burned: 5114 (million)
% 50.45/9.80 % (704686)dis+10_16:1_sil=16000:random_seed=940058576:i=9155:fsr=off_2944 on theBenchmark for (2944ds/9155Mi)
% 50.45/9.80 % (704679)Instruction limit reached!
% 50.45/9.80 % (704679)------------------------------
% 50.45/9.80 % (704679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.45/9.80 % (704679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.80 % (704679)CaDiCaL version: 2.1.3
% 50.45/9.80 % (704679)Termination reason: Instruction limit
% 50.45/9.80 % (704679)Termination phase: Saturation
% 50.45/9.80 % (704679)Time elapsed: 3.470 s
% 50.45/9.80 % (704679)Peak memory usage: 51 MB
% 50.45/9.80 % (704679)Instructions burned: 8174 (million)
% 50.45/9.80 % (704702)ott-3_8_sil=64000:random_seed=2115019568:i=20139:bs=on_2914 on theBenchmark for (2914ds/20139Mi)
% 50.45/9.80 % (704664)Instruction limit reached!
% 50.45/9.80 % (704664)------------------------------
% 50.45/9.80 % (704664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.45/9.80 % (704664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.80 % (704664)CaDiCaL version: 2.1.3
% 50.45/9.80 % (704664)Termination reason: Instruction limit
% 50.45/9.80 % (704664)Termination phase: Saturation
% 50.45/9.80 % (704664)Time elapsed: 4.511 s
% 50.45/9.80 % (704664)Peak memory usage: 47 MB
% 50.45/9.80 % (704664)Instructions burned: 5211 (million)
% 50.45/9.80 % (704704)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=4049774343:fmbsr=2:i=32576_2910 on theBenchmark for (2910ds/32576Mi)
% 50.45/9.80 % Exception at run slice level
% 50.45/9.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.45/9.80 % (704706)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2744371274:i=11404_2910 on theBenchmark for (2910ds/11404Mi)
% 50.45/9.80 % (704555) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-704549-704555"...
% 50.45/9.80 % (704555)...printing done.
% 50.45/9.80 % (704555)Refutation found. Thanks to Tanya!
% 50.45/9.80 % SZS status Theorem for theBenchmark
% 50.45/9.80 % SZS output start Proof for theBenchmark
% 50.45/9.80 thf(type_def_5, type, extended_enat: $tType).
% 50.45/9.80 thf(type_def_6, type, stream: $tType > $tType).
% 50.45/9.80 thf(type_def_7, type, set: $tType > $tType).
% 50.45/9.80 thf(type_def_8, type, nat: $tType).
% 50.45/9.80 thf(type_def_9, type, int: $tType).
% 50.45/9.80 thf(type_def_10, type, itself: $tType > $tType).
% 50.45/9.80 thf(type_def_11, type, a: $tType).
% 50.45/9.80 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 50.45/9.80 thf(func_def_0, type, zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.80 thf(func_def_1, type, field: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.80 thf(func_def_2, type, mult_zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.80 thf(func_def_3, type, semiring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.80 thf(func_def_4, type, semiring_char_0: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.80 thf(func_def_5, type, division_ring: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_6, type, semigroup_mult: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_7, type, comm_semiring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_8, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_9, type, linordered_ring: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_10, type, linordered_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_11, type, ab_semigroup_mult: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_12, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_13, type, linord581940658strict: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_14, type, archim1727834104eiling: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_15, type, semiri1193490041visors: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_16, type, linord20386208strict: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_17, type, archim1804426504_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_18, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_19, type, linord893533164strict: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_20, type, semiri1923998003cancel: !>[X0: $tType]:((itself @ X0 > $o))).
% 50.45/9.81 thf(func_def_21, type, archimedean_ceiling: !>[X0: $tType]:((X0 > int))).
% 50.45/9.81 thf(func_def_22, type, coindu1365464361scount: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > extended_enat))).
% 50.45/9.81 thf(func_def_23, type, coindu76177514sfirst: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > extended_enat))).
% 50.45/9.81 thf(func_def_24, type, extended_enat2: (nat > extended_enat)).
% 50.45/9.81 thf(func_def_25, type, extended_case_enat: !>[X0: $tType]:(((nat > X0) > X0 > extended_enat > X0))).
% 50.45/9.81 thf(func_def_26, type, extended_rec_enat: !>[X0: $tType]:(((nat > X0) > X0 > extended_enat > X0))).
% 50.45/9.81 thf(func_def_27, type, extended_size_enat: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_28, type, extend1396239628finity: !>[X0: $tType]:(X0)).
% 50.45/9.81 thf(func_def_29, type, extended_the_enat: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_30, type, inverse_inverse: !>[X0: $tType]:((X0 > X0))).
% 50.45/9.81 thf(func_def_31, type, finite_card: !>[X0: $tType]:((set @ X0 > nat))).
% 50.45/9.81 thf(func_def_32, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 50.45/9.81 thf(func_def_33, type, zero_zero: !>[X0: $tType]:(X0)).
% 50.45/9.81 thf(func_def_34, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 50.45/9.81 thf(func_def_35, type, nat2: (int > nat)).
% 50.45/9.81 thf(func_def_36, type, linear1341015445_UNTIL: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0 > $o))).
% 50.45/9.81 thf(func_def_37, type, linear1386806755on_alw: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > $o))).
% 50.45/9.81 thf(func_def_38, type, linear505997466_on_ev: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > $o))).
% 50.45/9.81 thf(func_def_39, type, linear1335279038n_wait: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_40, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 50.45/9.81 thf(func_def_41, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 50.45/9.81 thf(func_def_42, type, nat_tr1645093318rphism: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > $o))).
% 50.45/9.81 thf(func_def_43, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 50.45/9.81 thf(func_def_44, type, type: !>[X0: $tType]:(itself @ X0)).
% 50.45/9.81 thf(func_def_45, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 50.45/9.81 thf(func_def_46, type, sdrop: !>[X0: $tType]:((nat > stream @ X0 > stream @ X0))).
% 50.45/9.81 thf(func_def_47, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 50.45/9.81 thf(func_def_48, type, p: (stream @ a > $o)).
% 50.45/9.81 thf(func_def_49, type, omega: stream @ a).
% 50.45/9.81 thf(func_def_51, type, vNOT: ($o > $o)).
% 50.45/9.81 thf(func_def_52, type, db0: !>[X0: $tType]:(X0)).
% 50.45/9.81 thf(func_def_53, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 50.45/9.81 thf(func_def_56, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 50.45/9.81 thf(func_def_57, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 50.45/9.81 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 50.45/9.81 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 50.45/9.81 thf(func_def_60, type, vAND: ($o > $o > $o)).
% 50.45/9.81 thf(func_def_61, type, vIMP: ($o > $o > $o)).
% 50.45/9.81 thf(func_def_62, type, vOR: ($o > $o > $o)).
% 50.45/9.81 thf(func_def_63, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 50.45/9.81 thf(func_def_64, type, sP0: (extended_enat > extended_enat > extended_enat > $o)).
% 50.45/9.81 thf(func_def_65, type, sP1: (extended_enat > extended_enat > extended_enat > $o)).
% 50.45/9.81 thf(func_def_66, type, sP2: (extended_enat > extended_enat > extended_enat > $o)).
% 50.45/9.81 thf(func_def_67, type, sP3: (extended_enat > extended_enat > extended_enat > $o)).
% 50.45/9.81 thf(func_def_68, type, sP4: (extended_enat > extended_enat > extended_enat > $o)).
% 50.45/9.81 thf(func_def_69, type, sP5: (extended_enat > extended_enat > extended_enat > $o)).
% 50.45/9.81 thf(func_def_70, type, sP6: (extended_enat > extended_enat > extended_enat > $o)).
% 50.45/9.81 thf(func_def_71, type, sP7: (extended_enat > extended_enat > $o)).
% 50.45/9.81 thf(func_def_72, type, sK8: !>[X0: $tType]:((nat > (X0 > extended_enat) > X0))).
% 50.45/9.81 thf(func_def_73, type, sK9: !>[X0: $tType]:(((X0 > extended_enat) > X0))).
% 50.45/9.81 thf(func_def_74, type, sK10: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_75, type, sK11: (nat > extended_enat > nat)).
% 50.45/9.81 thf(func_def_76, type, sK12: ((extended_enat > $o) > extended_enat)).
% 50.45/9.81 thf(func_def_77, type, sK13: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 50.45/9.81 thf(func_def_78, type, sK14: ((nat > $o) > nat)).
% 50.45/9.81 thf(func_def_79, type, sK15: ((nat > $o) > nat)).
% 50.45/9.81 thf(func_def_80, type, sK16: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 50.45/9.81 thf(func_def_81, type, sK17: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 50.45/9.81 thf(func_def_82, type, sK18: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 50.45/9.81 thf(func_def_83, type, sK19: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 50.45/9.81 thf(func_def_84, type, sK20: ((nat > $o) > nat)).
% 50.45/9.81 thf(func_def_85, type, sK21: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 50.45/9.81 thf(func_def_86, type, sK22: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 50.45/9.81 thf(func_def_87, type, sK23: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0))).
% 50.45/9.81 thf(func_def_88, type, sK24: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0))).
% 50.45/9.81 thf(func_def_89, type, sK25: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0))).
% 50.45/9.81 thf(func_def_90, type, sK26: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0))).
% 50.45/9.81 thf(func_def_91, type, sK27: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0))).
% 50.45/9.81 thf(func_def_92, type, sK28: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0))).
% 50.45/9.81 thf(func_def_93, type, sK29: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0))).
% 50.45/9.81 thf(func_def_94, type, sK30: ((extended_enat > $o) > nat)).
% 50.45/9.81 thf(func_def_95, type, sK31: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_96, type, sK32: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_97, type, sK33: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_98, type, sK34: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_99, type, sK35: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_100, type, sK36: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_101, type, sK37: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_102, type, sK38: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_103, type, sK39: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_104, type, sK40: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_105, type, sK41: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_106, type, sK42: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_107, type, sK43: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_108, type, sK44: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_109, type, sK45: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_110, type, sK46: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_111, type, sK47: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_112, type, sK48: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_113, type, sK49: (int > nat)).
% 50.45/9.81 thf(func_def_114, type, sK50: !>[X0: $tType]:((X0 > nat))).
% 50.45/9.81 thf(func_def_115, type, sK51: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0))).
% 50.45/9.81 thf(func_def_116, type, sK52: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0))).
% 50.45/9.81 thf(func_def_117, type, sK53: !>[X0: $tType]:((X0 > X0 > nat))).
% 50.45/9.81 thf(func_def_118, type, sK54: !>[X0: $tType]:((X0 > X0))).
% 50.45/9.81 thf(func_def_119, type, sK55: !>[X0: $tType]:((X0 > X0))).
% 50.45/9.81 thf(func_def_120, type, sK56: !>[X0: $tType]:((X0 > nat))).
% 50.45/9.81 thf(func_def_121, type, sK57: !>[X0: $tType]:((nat > (stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_122, type, sK58: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_123, type, sK59: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_124, type, sK60: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_125, type, sK61: !>[X0: $tType]:((nat > (stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_126, type, sK62: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_127, type, sK63: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_128, type, sK64: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_129, type, sK65: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_130, type, sK66: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_131, type, sK67: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_132, type, sK68: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_133, type, sK69: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_134, type, sK70: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_135, type, sK71: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_136, type, sK72: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_137, type, sK73: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_138, type, sK74: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_139, type, sK75: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_140, type, sK76: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_141, type, sK77: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_142, type, sK78: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_143, type, sK79: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_144, type, sK80: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_145, type, sK81: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_146, type, sK82: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_147, type, sK83: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_148, type, sK84: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_149, type, sK85: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_150, type, sK86: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_151, type, sK87: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_152, type, sK88: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_153, type, sK89: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_154, type, sK90: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_155, type, sK91: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_156, type, sK92: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_157, type, sK93: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_158, type, sK94: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_159, type, sK95: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_160, type, sK96: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_161, type, sK97: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_162, type, sK98: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_163, type, sK99: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_164, type, sK100: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_165, type, sK101: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_166, type, sK102: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_167, type, sK103: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_168, type, sK104: (extended_enat > nat)).
% 50.45/9.81 thf(func_def_169, type, sK105: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_170, type, sK106: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_171, type, sK107: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_172, type, sK108: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_173, type, sK109: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_174, type, sK110: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_175, type, sK111: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_176, type, sK112: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_177, type, sK113: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_178, type, sK114: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_179, type, sK115: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_180, type, sK116: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_181, type, sK117: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_182, type, sK118: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_183, type, sK119: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_184, type, sK120: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_185, type, sK121: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_186, type, sK122: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_187, type, sK123: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_188, type, sK124: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_189, type, sK125: nat).
% 50.45/9.81 thf(func_def_190, type, sK126: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_192, type, sK128: ((extended_enat > $o) > nat)).
% 50.45/9.81 thf(func_def_193, type, sK129: ((extended_enat > $o) > extended_enat)).
% 50.45/9.81 thf(func_def_194, type, sK130: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_195, type, sK131: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_196, type, sK132: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_197, type, sK133: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_198, type, sK134: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_199, type, sK135: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_200, type, sK136: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_201, type, sK137: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_202, type, sK138: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_203, type, sK139: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_204, type, sK140: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_205, type, sK141: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_206, type, sK142: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_207, type, sK143: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_208, type, sK144: !>[X0: $tType]:(((stream @ X0 > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_209, type, sK145: !>[X0: $tType]:(((stream @ X0 > $o) > (stream @ X0 > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_210, type, sK146: !>[X0: $tType]:(((stream @ X0 > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_211, type, sK147: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_212, type, sK148: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_213, type, sK149: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_214, type, sK150: !>[X0: $tType]:((nat > stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_215, type, sK151: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_216, type, sK152: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_217, type, sK153: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_218, type, sK154: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_219, type, sK155: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_220, type, sK156: !>[X0: $tType]:(((stream @ X0 > $o) > nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_221, type, sK157: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_222, type, sK158: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_223, type, sK159: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_224, type, sK160: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_225, type, sK161: !>[X0: $tType]:((nat > nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_226, type, sK162: !>[X0: $tType]:(((stream @ X0 > $o) > nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_227, type, sK163: !>[X0: $tType]:((nat > nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_228, type, sK164: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_229, type, sK165: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_230, type, sK166: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_231, type, sK167: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_232, type, sK168: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_233, type, sK169: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_234, type, sK170: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_235, type, sK171: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_236, type, sK172: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_237, type, sK173: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_238, type, sK174: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_239, type, sK175: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_240, type, sK176: !>[X0: $tType]:((stream @ X0 > nat > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_241, type, sK177: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_242, type, sK178: !>[X0: $tType]:((stream @ X0 > nat > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_243, type, sK179: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_244, type, sK180: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_245, type, sK181: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_246, type, sK182: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_247, type, sK183: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_248, type, sK184: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_249, type, sK185: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_250, type, sK186: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_251, type, sK187: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_252, type, sK188: !>[X0: $tType]:((nat > (stream @ X0 > $o) > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_253, type, sK189: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_254, type, sK190: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_255, type, sK191: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_256, type, sK192: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_257, type, sK193: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_258, type, sK194: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_259, type, sK195: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_260, type, sK196: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_261, type, sK197: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_262, type, sK198: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_263, type, sK199: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_264, type, sK200: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_265, type, sK201: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_266, type, sK202: !>[X0: $tType]:((stream @ X0 > nat > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_267, type, sK203: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_268, type, sK204: !>[X0: $tType]:((stream @ X0 > nat > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_269, type, sK205: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_270, type, sK206: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_271, type, sK207: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_272, type, sK208: !>[X0: $tType]:((nat > stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_273, type, sK209: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_274, type, sK210: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_275, type, sK211: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_276, type, sK212: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_277, type, sK213: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_278, type, sK214: !>[X0: $tType]:(((stream @ X0 > $o) > nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_279, type, sK215: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_280, type, sK216: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_281, type, sK217: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_282, type, sK218: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_283, type, sK219: !>[X0: $tType]:((nat > nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_284, type, sK220: !>[X0: $tType]:(((stream @ X0 > $o) > nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_285, type, sK221: !>[X0: $tType]:((nat > nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_286, type, sK222: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_287, type, sK223: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_288, type, sK224: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_289, type, sK225: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_290, type, sK226: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_291, type, sK227: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_292, type, sK228: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_293, type, sK229: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_294, type, sK230: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_295, type, sK231: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_296, type, sK232: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_297, type, sK233: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_298, type, sK234: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_299, type, sK235: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_300, type, sK236: !>[X0: $tType]:((nat > stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_301, type, sK237: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_302, type, sK238: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_303, type, sK239: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_304, type, sK240: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_305, type, sK241: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_306, type, sK242: !>[X0: $tType]:(((stream @ X0 > $o) > nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_307, type, sK243: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_308, type, sK244: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_309, type, sK245: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_310, type, sK246: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_311, type, sK247: !>[X0: $tType]:((nat > nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_312, type, sK248: !>[X0: $tType]:(((stream @ X0 > $o) > nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_313, type, sK249: !>[X0: $tType]:((nat > nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_314, type, sK250: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_315, type, sK251: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_316, type, sK252: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_317, type, sK253: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_318, type, sK254: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_319, type, sK255: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_320, type, sK256: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_321, type, sK257: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_322, type, sK258: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_323, type, sK259: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_324, type, sK260: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_325, type, sK261: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_326, type, sK262: !>[X0: $tType]:((nat > stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_327, type, sK263: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_328, type, sK264: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_329, type, sK265: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_330, type, sK266: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_331, type, sK267: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_332, type, sK268: !>[X0: $tType]:(((stream @ X0 > $o) > nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_333, type, sK269: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_334, type, sK270: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_335, type, sK271: !>[X0: $tType]:((nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_336, type, sK272: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_337, type, sK273: !>[X0: $tType]:((nat > nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_338, type, sK274: !>[X0: $tType]:(((stream @ X0 > $o) > nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_339, type, sK275: !>[X0: $tType]:((nat > nat > nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_340, type, sK276: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_341, type, sK277: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_342, type, sK278: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_343, type, sK279: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_344, type, sK280: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_345, type, sK281: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > (stream @ X0 > $o) > nat))).
% 50.45/9.81 thf(func_def_346, type, sK282: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_347, type, sK283: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_348, type, sK284: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_349, type, sK285: !>[X0: $tType]:(((stream @ X0 > $o) > nat > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_350, type, sK286: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_351, type, sK287: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_352, type, sK288: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_353, type, sK289: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_354, type, sK290: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_355, type, sK291: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_356, type, sK292: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_357, type, sK293: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_358, type, sK294: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_359, type, sK295: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_360, type, sK296: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_361, type, sK297: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_362, type, sK298: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_363, type, sK299: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_364, type, sK300: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_365, type, sK301: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_366, type, sK302: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_367, type, sK303: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_368, type, sK304: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_369, type, sK305: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_370, type, sK306: !>[X0: $tType]:((nat > (stream @ X0 > nat > nat > $o) > nat))).
% 50.45/9.81 thf(func_def_371, type, sK307: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_372, type, sK308: !>[X0: $tType]:(((stream @ X0 > nat > nat > $o) > stream @ X0 > nat > nat))).
% 50.45/9.81 thf(func_def_373, type, sK309: !>[X0: $tType]:((stream @ X0 > (stream @ X0 > nat > nat > $o) > nat > nat))).
% 50.45/9.81 thf(func_def_374, type, sK310: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_375, type, sK311: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_376, type, sK312: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_377, type, sK313: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_378, type, sK314: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_379, type, sK315: !>[X0: $tType]:(((stream @ X0 > $o) > stream @ X0 > nat))).
% 50.45/9.81 thf(func_def_380, type, sK316: ((nat > nat > nat > $o) > nat > nat)).
% 50.45/9.81 thf(func_def_381, type, sK317: ((nat > nat > nat > $o) > nat > nat)).
% 50.45/9.81 thf(func_def_382, type, sK318: ((nat > nat > nat > $o) > nat > nat)).
% 50.45/9.81 thf(func_def_383, type, sK319: ((nat > nat > nat > $o) > nat > nat)).
% 50.45/9.81 thf(func_def_384, type, sK320: ((nat > nat > nat > $o) > nat > nat)).
% 50.45/9.81 thf(func_def_385, type, sK321: ((nat > nat > nat > $o) > nat > nat)).
% 50.45/9.81 thf(func_def_386, type, sK322: ((nat > nat > nat > $o) > nat > nat)).
% 50.45/9.81 thf(func_def_387, type, sK323: ((nat > nat > nat > $o) > nat > nat)).
% 50.45/9.81 thf(func_def_388, type, sK324: ((nat > nat > nat > $o) > nat > nat)).
% 50.45/9.81 thf(func_def_389, type, sK325: ((nat > nat > nat > $o) > nat > nat)).
% 50.45/9.81 thf(f2,axiom,(
% 50.45/9.81 ! [X0 : $tType,X1 : nat,X2 : (stream @ X0 > $o),X3 : stream @ X0] : ((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3)) => ~(X2 @ (sdrop @ X0 @ X1 @ X3)))),
% 50.45/9.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_less__sfirstD)).
% 50.45/9.81 thf(f5,axiom,(
% 50.45/9.81 ! [X0 : $tType,X1 : stream @ X0] : (((sdrop @ X0 @ zero_zero @ nat @ X1)) = X1)),
% 50.45/9.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_sdrop_Osimps_I1_J)).
% 50.45/9.81 thf(f14,axiom,(
% 50.45/9.81 ! [X0 : extended_enat] : (((ord_less @ extended_enat @ zero_zero @ extended_enat @ X0)) = (X0 != zero_zero @ extended_enat))),
% 50.45/9.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_i0__less)).
% 50.45/9.81 thf(f18,axiom,(
% 50.45/9.81 (zero_zero @ extended_enat = ((extended_enat2 @ zero_zero @ nat)))),
% 50.45/9.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_zero__enat__def)).
% 50.45/9.81 thf(f22,axiom,(
% 50.45/9.81 ! [X0 : $tType,X1 : (stream @ X0 > $o),X2 : stream @ X0] : ((((coindu76177514sfirst @ X0 @ X1 @ X2)) = zero_zero @ extended_enat) = ((X1 @ X2)))),
% 50.45/9.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_sfirst__eq__0)).
% 50.45/9.81 thf(f91,axiom,(
% 50.45/9.81 (semiring_1_of_nat @ extended_enat = extended_enat2)),
% 50.45/9.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_of__nat__eq__enat)).
% 50.45/9.81 thf(f294,conjecture,(
% 50.45/9.81 (((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))) = ~(p @ (sdrop @ a @ zero_zero @ nat @ omega)))),
% 50.45/9.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 50.45/9.81 thf(f295,negated_conjecture,(
% 50.45/9.81 ~ (((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))) = ~(p @ (sdrop @ a @ zero_zero @ nat @ omega)))),
% 50.45/9.81 inference(negated_conjecture,[status(cth)],[f294])).
% 50.45/9.81 thf(f298,plain,(
% 50.45/9.81 ! [X0 : $tType,X1 : nat,X2 : (stream @ X0 > $o),X3 : stream @ X0] : ((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3)) => ~(X2 @ (sdrop @ X0 @ X1 @ X3)))),
% 50.45/9.81 inference(rectify,[],[f2])).
% 50.45/9.81 thf(f299,plain,(
% 50.45/9.81 ! [X0 : $tType,X1 : nat,X2 : (stream @ X0 > $o),X3 : stream @ X0] : ((((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3))) = $true) => ~ (((X2 @ (sdrop @ X0 @ X1 @ X3))) = $true))),
% 50.45/9.81 inference(fool_elimination,[],[f298])).
% 50.45/9.81 thf(f319,plain,(
% 50.45/9.81 ! [X0 : extended_enat] : (((ord_less @ extended_enat @ zero_zero @ extended_enat @ X0)) = ((~ (zero_zero @ extended_enat = X0))))),
% 50.45/9.81 inference(fool_elimination,[],[f14])).
% 50.45/9.81 thf(f328,plain,(
% 50.45/9.81 ! [X0 : $tType,X1 : (stream @ X0 > $o),X2 : stream @ X0] : (((X1 @ X2)) = ((zero_zero @ extended_enat = (coindu76177514sfirst @ X0 @ X1 @ X2))))),
% 50.45/9.81 inference(fool_elimination,[],[f22])).
% 50.45/9.81 thf(f775,plain,(
% 50.45/9.81 ~ (((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))) = ~(p @ (sdrop @ a @ zero_zero @ nat @ omega)))),
% 50.45/9.81 inference(rectify,[],[f295])).
% 50.45/9.81 thf(f776,plain,(
% 50.45/9.81 ~ (((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))) = ((~ (p @ (sdrop @ a @ zero_zero @ nat @ omega)))))),
% 50.45/9.81 inference(fool_elimination,[],[f775])).
% 50.45/9.81 thf(f777,plain,(
% 50.45/9.81 ! [X0 : $tType,X1 : nat,X2 : (stream @ X0 > $o),X3 : stream @ X0] : ((((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3))) = $true) => (((X2 @ (sdrop @ X0 @ X1 @ X3))) != $true))),
% 50.45/9.81 inference(flattening,[],[f299])).
% 50.45/9.81 thf(f803,plain,(
% 50.45/9.81 (((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))) != ((~ (p @ (sdrop @ a @ zero_zero @ nat @ omega)))))),
% 50.45/9.81 inference(flattening,[],[f776])).
% 50.45/9.81 thf(f804,plain,(
% 50.45/9.81 ! [X0 : $tType,X1 : nat,X2 : (stream @ X0 > $o),X3 : stream @ X0] : ((((X2 @ (sdrop @ X0 @ X1 @ X3))) != $true) | (((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3))) != $true))),
% 50.45/9.81 inference(ennf_transformation,[],[f777])).
% 50.45/9.81 thf(f1075,plain,(
% 50.45/9.81 ( ! [X0 : $tType,X2 : (stream @ X0 > $o),X3 : stream @ X0,X1 : nat] : ((((X2 @ (sdrop @ X0 @ X1 @ X3))) != $true) | (((ord_less @ extended_enat @ (extended_enat2 @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3))) != $true)) )),
% 50.45/9.81 inference(cnf_transformation,[],[f804])).
% 50.45/9.81 thf(f1078,plain,(
% 50.45/9.81 ( ! [X0 : $tType,X1 : stream @ X0] : ((((sdrop @ X0 @ zero_zero @ nat @ X1)) = X1)) )),
% 50.45/9.81 inference(cnf_transformation,[],[f5])).
% 50.45/9.81 thf(f1087,plain,(
% 50.45/9.81 ( ! [X0 : extended_enat] : ((((ord_less @ extended_enat @ zero_zero @ extended_enat @ X0)) = ((~ (zero_zero @ extended_enat = X0))))) )),
% 50.45/9.81 inference(cnf_transformation,[],[f319])).
% 50.45/9.81 thf(f1091,plain,(
% 50.45/9.81 (zero_zero @ extended_enat = ((extended_enat2 @ zero_zero @ nat)))),
% 50.45/9.81 inference(cnf_transformation,[],[f18])).
% 50.45/9.81 thf(f1096,plain,(
% 50.45/9.81 ( ! [X0 : $tType,X2 : stream @ X0,X1 : (stream @ X0 > $o)] : ((((X1 @ X2)) = ((zero_zero @ extended_enat = (coindu76177514sfirst @ X0 @ X1 @ X2))))) )),
% 50.45/9.81 inference(cnf_transformation,[],[f328])).
% 50.45/9.81 thf(f1185,plain,(
% 50.45/9.81 (extended_enat2 = semiring_1_of_nat @ extended_enat)),
% 50.45/9.81 inference(cnf_transformation,[],[f91])).
% 50.45/9.81 thf(f1428,plain,(
% 50.45/9.81 (((ord_less @ extended_enat @ (extended_enat2 @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))) != ((~ (p @ (sdrop @ a @ zero_zero @ nat @ omega)))))),
% 50.45/9.81 inference(cnf_transformation,[],[f803])).
% 50.45/9.81 thf(f1434,plain,(
% 50.45/9.81 ( ! [X0 : $tType,X2 : (stream @ X0 > $o),X3 : stream @ X0,X1 : nat] : (($true != ((ord_less @ extended_enat @ (semiring_1_of_nat @ extended_enat @ X1) @ (coindu76177514sfirst @ X0 @ X2 @ X3)))) | (((X2 @ (sdrop @ X0 @ X1 @ X3))) != $true)) )),
% 50.45/9.81 inference(definition_unfolding,[],[f1075,f1185])).
% 50.45/9.81 thf(f1439,plain,(
% 50.45/9.81 (zero_zero @ extended_enat = ((semiring_1_of_nat @ extended_enat @ zero_zero @ nat)))),
% 50.45/9.81 inference(definition_unfolding,[],[f1091,f1185])).
% 50.45/9.81 thf(f1534,plain,(
% 50.45/9.81 (((~ (p @ (sdrop @ a @ zero_zero @ nat @ omega)))) != ((ord_less @ extended_enat @ (semiring_1_of_nat @ extended_enat @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))))),
% 50.45/9.81 inference(definition_unfolding,[],[f1428,f1185])).
% 50.45/9.81 thf(f1545,plain,(
% 50.45/9.81 ($true = ((~ (p @ (sdrop @ a @ zero_zero @ nat @ omega))))) | ($true = ((ord_less @ extended_enat @ (semiring_1_of_nat @ extended_enat @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))))),
% 50.45/9.81 inference(xor_proxy_clausification,[],[f1534])).
% 50.45/9.81 thf(f1546,plain,(
% 50.45/9.81 ($false = ((~ (p @ (sdrop @ a @ zero_zero @ nat @ omega))))) | ($false = ((ord_less @ extended_enat @ (semiring_1_of_nat @ extended_enat @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))))),
% 50.45/9.81 inference(xor_proxy_clausification,[],[f1534])).
% 50.45/9.81 thf(f1547,plain,(
% 50.45/9.81 (((p @ (sdrop @ a @ zero_zero @ nat @ omega))) = $true) | ($false = ((ord_less @ extended_enat @ (semiring_1_of_nat @ extended_enat @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))))),
% 50.45/9.81 inference(not_proxy_clausification,[],[f1546])).
% 50.45/9.81 thf(f1548,plain,(
% 50.45/9.81 (((p @ (sdrop @ a @ zero_zero @ nat @ omega))) = $false) | ($true = ((ord_less @ extended_enat @ (semiring_1_of_nat @ extended_enat @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))))),
% 50.45/9.81 inference(not_proxy_clausification,[],[f1545])).
% 50.45/9.81 thf(f2220,plain,(
% 50.45/9.81 ( ! [X0 : $tType,X2 : stream @ X0,X1 : (stream @ X0 > $o)] : ((((X1 @ X2)) = $true) | (((zero_zero @ extended_enat = (coindu76177514sfirst @ X0 @ X1 @ X2))) = $false)) )),
% 50.45/9.81 inference(iff_proxy_clausification,[],[f1096])).
% 50.45/9.81 thf(f2223,plain,(
% 50.45/9.81 ( ! [X0 : $tType,X2 : stream @ X0,X1 : (stream @ X0 > $o)] : ((zero_zero @ extended_enat != ((coindu76177514sfirst @ X0 @ X1 @ X2))) | (((X1 @ X2)) = $true)) )),
% 50.45/9.81 inference(equality_proxy_clausification,[],[f2220])).
% 50.45/9.81 thf(f2238,plain,(
% 50.45/9.81 ( ! [X0 : extended_enat] : ((((ord_less @ extended_enat @ zero_zero @ extended_enat @ X0)) = $true) | (((~ (zero_zero @ extended_enat = X0))) = $false)) )),
% 50.45/9.81 inference(iff_proxy_clausification,[],[f1087])).
% 50.45/9.81 thf(f2242,plain,(
% 50.45/9.81 ( ! [X0 : extended_enat] : ((((ord_less @ extended_enat @ zero_zero @ extended_enat @ X0)) = $true) | ($true = ((zero_zero @ extended_enat = X0)))) )),
% 50.45/9.81 inference(not_proxy_clausification,[],[f2238])).
% 50.45/9.81 thf(f2243,plain,(
% 50.45/9.81 ( ! [X0 : extended_enat] : ((((ord_less @ extended_enat @ zero_zero @ extended_enat @ X0)) = $true) | (zero_zero @ extended_enat = X0)) )),
% 50.45/9.81 inference(equality_proxy_clausification,[],[f2242])).
% 50.45/9.81 thf(f2265,definition,(
% 50.45/9.81 spl127_1 <=> ($false = ((ord_less @ extended_enat @ (semiring_1_of_nat @ extended_enat @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))))),
% 50.45/9.81 introduced(definition,[new_symbols(definition,[spl127_1])],[avatar_definition])).
% 50.45/9.81 thf(f2267,plain,(
% 50.45/9.81 ($false = ((ord_less @ extended_enat @ (semiring_1_of_nat @ extended_enat @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)))) | ~spl127_1),
% 50.45/9.81 inference(avatar_component_clause,[],[f2265])).
% 50.45/9.81 thf(f2269,definition,(
% 50.45/9.81 spl127_2 <=> (((p @ (sdrop @ a @ zero_zero @ nat @ omega))) = $true)),
% 50.45/9.81 introduced(definition,[new_symbols(definition,[spl127_2])],[avatar_definition])).
% 50.45/9.81 thf(f2271,plain,(
% 50.45/9.81 (((p @ (sdrop @ a @ zero_zero @ nat @ omega))) = $true) | ~spl127_2),
% 50.45/9.81 inference(avatar_component_clause,[],[f2269])).
% 50.45/9.81 thf(f2272,plain,(
% 50.45/9.81 spl127_1 | spl127_2),
% 50.45/9.81 inference(avatar_split_clause,[],[f1547,f2269,f2265])).
% 50.45/9.81 thf(f2274,definition,(
% 50.45/9.81 spl127_3 <=> ($true = ((ord_less @ extended_enat @ (semiring_1_of_nat @ extended_enat @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega))))),
% 50.45/9.81 introduced(definition,[new_symbols(definition,[spl127_3])],[avatar_definition])).
% 50.45/9.81 thf(f2276,plain,(
% 50.45/9.81 ($true = ((ord_less @ extended_enat @ (semiring_1_of_nat @ extended_enat @ zero_zero @ nat) @ (coindu76177514sfirst @ a @ p @ omega)))) | ~spl127_3),
% 50.45/9.81 inference(avatar_component_clause,[],[f2274])).
% 50.45/9.81 thf(f2278,definition,(
% 50.45/9.81 spl127_4 <=> (((p @ (sdrop @ a @ zero_zero @ nat @ omega))) = $false)),
% 50.45/9.81 introduced(definition,[new_symbols(definition,[spl127_4])],[avatar_definition])).
% 50.45/9.81 thf(f2280,plain,(
% 50.45/9.81 (((p @ (sdrop @ a @ zero_zero @ nat @ omega))) = $false) | ~spl127_4),
% 50.45/9.81 inference(avatar_component_clause,[],[f2278])).
% 50.45/9.81 thf(f2281,plain,(
% 50.45/9.81 spl127_3 | spl127_4),
% 50.45/9.81 inference(avatar_split_clause,[],[f1548,f2278,f2274])).
% 50.45/9.81 thf(f2289,plain,(
% 50.45/9.81 ($true = ((ord_less @ extended_enat @ zero_zero @ extended_enat @ (coindu76177514sfirst @ a @ p @ omega)))) | ~spl127_3),
% 50.45/9.81 inference(constrained_superposition,[],[f2276,f1439])).
% 50.45/9.81 thf(f2320,plain,(
% 50.45/9.81 ($true = ((p @ omega))) | ~spl127_2),
% 50.45/9.81 inference(constrained_superposition,[],[f2271,f1078])).
% 50.45/9.81 thf(f9912,plain,(
% 50.45/9.81 ($true != $true) | (((p @ (sdrop @ a @ zero_zero @ nat @ omega))) != $true) | ~spl127_3),
% 50.45/9.81 inference(constrained_superposition,[],[f1434,f2276])).
% 50.45/9.81 thf(f9915,plain,(
% 50.45/9.81 (((p @ (sdrop @ a @ zero_zero @ nat @ omega))) != $true) | ~spl127_3),
% 50.45/9.81 inference(trivial_inequality_removal,[],[f9912])).
% 50.45/9.81 thf(f9936,plain,(
% 50.45/9.81 $false | (~spl127_2 | ~spl127_3)),
% 50.45/9.81 inference(forward_subsumption_resolution,[],[f9915,f2271])).
% 50.45/9.81 thf(f9937,plain,(
% 50.45/9.81 ~spl127_2 | ~spl127_3),
% 50.45/9.81 inference(avatar_contradiction_clause,[],[f9936])).
% 50.45/9.81 thf(f9939,plain,(
% 50.45/9.81 ($false = ((ord_less @ extended_enat @ zero_zero @ extended_enat @ (coindu76177514sfirst @ a @ p @ omega)))) | ~spl127_1),
% 50.45/9.81 inference(forward_demodulation,[],[f2267,f1439])).
% 50.45/9.81 thf(f11779,plain,(
% 50.45/9.81 ($true = $false) | (~spl127_1 | ~spl127_3)),
% 50.45/9.81 inference(constrained_superposition,[],[f9939,f2289])).
% 50.45/9.81 thf(f11825,plain,(
% 50.45/9.81 $false | (~spl127_1 | ~spl127_3)),
% 50.45/9.81 inference(trivial_inequality_removal,[],[f11779])).
% 50.45/9.81 thf(f11826,plain,(
% 50.45/9.81 ~spl127_1 | ~spl127_3),
% 50.45/9.81 inference(avatar_contradiction_clause,[],[f11825])).
% 50.45/9.81 thf(f12787,plain,(
% 50.45/9.81 ($false = ((p @ omega))) | ~spl127_4),
% 50.45/9.81 inference(forward_demodulation,[],[f2280,f1078])).
% 50.45/9.81 thf(f13121,plain,(
% 50.45/9.81 ($true = $false) | (~spl127_2 | ~spl127_4)),
% 50.45/9.81 inference(forward_demodulation,[],[f2320,f12787])).
% 50.45/9.81 thf(f13122,plain,(
% 50.45/9.81 $false | (~spl127_2 | ~spl127_4)),
% 50.45/9.81 inference(trivial_inequality_removal,[],[f13121])).
% 50.45/9.81 thf(f13123,plain,(
% 50.45/9.81 ~spl127_2 | ~spl127_4),
% 50.45/9.81 inference(avatar_contradiction_clause,[],[f13122])).
% 50.45/9.81 thf(f56873,plain,(
% 50.45/9.81 ($true = $false) | (zero_zero @ extended_enat = ((coindu76177514sfirst @ a @ p @ omega))) | ~spl127_1),
% 50.45/9.81 inference(constrained_superposition,[],[f9939,f2243])).
% 50.45/9.81 thf(f56964,plain,(
% 50.45/9.81 (zero_zero @ extended_enat = ((coindu76177514sfirst @ a @ p @ omega))) | ~spl127_1),
% 50.45/9.81 inference(trivial_inequality_removal,[],[f56873])).
% 50.45/9.81 thf(f91385,plain,(
% 50.45/9.81 (zero_zero @ extended_enat != zero_zero @ extended_enat) | ($true = ((p @ omega))) | ~spl127_1),
% 50.45/9.81 inference(constrained_superposition,[],[f2223,f56964])).
% 50.45/9.81 thf(f91388,plain,(
% 50.45/9.81 ($true = ((p @ omega))) | ~spl127_1),
% 50.45/9.81 inference(trivial_inequality_removal,[],[f91385])).
% 50.45/9.81 thf(f91391,plain,(
% 50.45/9.81 ($true = $false) | (~spl127_1 | ~spl127_4)),
% 50.45/9.81 inference(forward_demodulation,[],[f91388,f12787])).
% 50.45/9.81 thf(f91392,plain,(
% 50.45/9.81 $false | (~spl127_1 | ~spl127_4)),
% 50.45/9.81 inference(trivial_inequality_removal,[],[f91391])).
% 50.45/9.81 thf(f91393,plain,(
% 50.45/9.81 ~spl127_1 | ~spl127_4),
% 50.45/9.81 inference(avatar_contradiction_clause,[],[f91392])).
% 50.45/9.81 cnf(s1, plain, spl127_1 | spl127_2, inference(sat_conversion,[],[f2272])).
% 50.45/9.81 cnf(s2, plain, spl127_3 | spl127_4, inference(sat_conversion,[],[f2281])).
% 50.45/9.81 cnf(s350, plain, ~spl127_2 | ~spl127_3, inference(sat_conversion,[],[f9937])).
% 50.45/9.81 cnf(s478, plain, ~spl127_1 | ~spl127_3, inference(sat_conversion,[],[f11826])).
% 50.45/9.81 cnf(s666, plain, ~spl127_2 | ~spl127_4, inference(sat_conversion,[],[f13123])).
% 50.45/9.81 cnf(s8372, plain, ~spl127_1 | ~spl127_4, inference(sat_conversion,[],[f91393])).
% 50.45/9.81 cnf(s9142, plain, ~spl127_2, inference(rat,[],[s2,s350,s666])).
% 50.45/9.81 cnf(s9143, plain, spl127_1, inference(rat,[],[s1,s9142])).
% 50.45/9.81 cnf(s9144, plain, ~spl127_4, inference(rat,[],[s8372,s9143])).
% 50.45/9.81 cnf(s9145, plain, ~spl127_3, inference(rat,[],[s478,s9143])).
% 50.45/9.81 cnf(s9146, plain, $false, inference(rat,[],[s2,s9144,s9145])).
% 50.45/9.81 thf(f91394,plain,(
% 50.45/9.81 $false),
% 50.45/9.81 inference(avatar_sat_refutation,[],[s9146])).
% 50.45/9.81 % SZS output end Proof for theBenchmark
% 50.45/9.81 % (704555)------------------------------
% 50.45/9.81 % (704555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.45/9.81 % (704555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.45/9.81 % (704555)CaDiCaL version: 2.1.3
% 50.45/9.81 % (704555)Termination reason: Refutation
% 50.45/9.81 % (704555)Time elapsed: 9.375 s
% 50.45/9.81 % (704555)Peak memory usage: 57 MB
% 50.45/9.81 % (704555)Instructions burned: 11180 (million)
% 50.45/9.81 % (704549)Success in time 9.463 s
% 50.45/9.81 % Vampire exiting
%------------------------------------------------------------------------------