%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT133^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 07:48:56 AM UTC 2026
% Result : Theorem 17.00s 2.87s
% Output : Refutation 17.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT133^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:58:45 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.23/1.02 % (3005505)Will run a generic schedule for satisfiability detection.
% 4.23/1.02 % (3005511)% WARNING: option uhcvi not known.
% 4.23/1.02 % (3005510)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1683412949_2999 on theBenchmark for (2999ds/0Mi)
% 4.23/1.02 % (3005511)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3317590321:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.23/1.02 % (3005512)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3980561677:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.23/1.02 % (3005513)dis+10_1_sil=32000:sp=arity:random_seed=4118035305:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.23/1.02 % (3005514)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2540145796:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.23/1.02 % (3005515)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1524344933:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.23/1.02 % (3005516)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4054305678:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.23/1.02 % (3005511)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.23/1.02 % (3005514)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.23/1.02 % Exception at run slice level
% 4.23/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.23/1.02 % (3005511)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.23/1.02 % (3005513)Instruction limit reached!
% 4.23/1.02 % (3005513)------------------------------
% 4.23/1.02 % (3005513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.02 % (3005513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.02 % (3005513)CaDiCaL version: 2.1.3
% 4.23/1.02 % (3005513)Termination reason: Instruction limit
% 4.23/1.02 % (3005513)Termination phase: Saturation
% 4.23/1.02 % (3005513)Time elapsed: 0.046 s
% 4.23/1.02 % (3005513)Peak memory usage: 12 MB
% 4.23/1.02 % (3005513)Instructions burned: 105 (million)
% 4.23/1.02 % (3005514)Instruction limit reached!
% 4.23/1.02 % (3005514)------------------------------
% 4.23/1.02 % (3005514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.02 % (3005514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.02 % (3005514)CaDiCaL version: 2.1.3
% 4.23/1.02 % (3005514)Termination reason: Instruction limit
% 4.23/1.02 % (3005514)Termination phase: Saturation
% 4.23/1.02 % (3005514)Time elapsed: 0.051 s
% 4.23/1.02 % (3005514)Peak memory usage: 12 MB
% 4.23/1.02 % (3005514)Instructions burned: 117 (million)
% 4.23/1.02 % (3005515)Instruction limit reached!
% 4.23/1.02 % (3005515)------------------------------
% 4.23/1.02 % (3005515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.02 % (3005515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.02 % (3005515)CaDiCaL version: 2.1.3
% 4.23/1.02 % (3005515)Termination reason: Instruction limit
% 4.23/1.02 % (3005515)Termination phase: Saturation
% 4.23/1.02 % (3005515)Time elapsed: 0.058 s
% 4.23/1.02 % (3005515)Peak memory usage: 13 MB
% 4.23/1.02 % (3005515)Instructions burned: 131 (million)
% 4.23/1.02 % (3005524)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=999392896:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.23/1.02 % (3005525)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3777243534:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.23/1.02 % (3005526)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=2575686365:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.23/1.02 % (3005516)Instruction limit reached!
% 4.23/1.02 % (3005516)------------------------------
% 4.23/1.02 % (3005516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/1.02 % (3005516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.02 % (3005516)CaDiCaL version: 2.1.3
% 4.23/1.02 % (3005516)Termination reason: Instruction limit
% 4.23/1.02 % (3005516)Termination phase: Saturation
% 4.23/1.02 % (3005516)Time elapsed: 0.075 s
% 4.23/1.02 % (3005516)Peak memory usage: 14 MB
% 4.23/1.02 % (3005516)Instructions burned: 159 (million)
% 16.60/2.71 % (3005528)ott-21_1_sil=16000:fs=off:random_seed=4030580183:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.60/2.71 % (3005526)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.60/2.71 % (3005531)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3773909799:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.60/2.71 % Exception at run slice level
% 16.60/2.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.60/2.71 % (3005526)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.60/2.71 % (3005534)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=607733040:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 16.60/2.71 % (3005525)Instruction limit reached!
% 16.60/2.71 % (3005525)------------------------------
% 16.60/2.71 % (3005525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.60/2.71 % (3005525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/2.71 % (3005525)CaDiCaL version: 2.1.3
% 16.60/2.71 % (3005525)Termination reason: Instruction limit
% 16.60/2.71 % (3005525)Termination phase: Saturation
% 16.60/2.71 % (3005525)Time elapsed: 0.059 s
% 16.60/2.71 % (3005525)Peak memory usage: 13 MB
% 16.60/2.71 % (3005525)Instructions burned: 131 (million)
% 16.60/2.71 % (3005536)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1992109623:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 16.60/2.71 % Exception at run slice level
% 16.60/2.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.60/2.71 % (3005528)Instruction limit reached!
% 16.60/2.71 % (3005528)------------------------------
% 16.60/2.71 % (3005528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.60/2.71 % (3005528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/2.71 % (3005528)CaDiCaL version: 2.1.3
% 16.60/2.71 % (3005528)Termination reason: Instruction limit
% 16.60/2.71 % (3005528)Termination phase: Saturation
% 16.60/2.71 % (3005528)Time elapsed: 0.080 s
% 16.60/2.71 % (3005528)Peak memory usage: 13 MB
% 16.60/2.71 % (3005528)Instructions burned: 181 (million)
% 16.60/2.71 % (3005539)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=3924362110:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 16.60/2.71 % (3005538)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3071704367:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 16.60/2.71 % (3005539)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.60/2.71 % Exception at run slice level
% 16.60/2.71 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.60/2.71 % (3005542)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2664293472:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 16.60/2.71 % (3005542)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.60/2.71 % (3005531)Instruction limit reached!
% 16.60/2.71 % (3005531)------------------------------
% 16.60/2.71 % (3005531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.60/2.71 % (3005531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/2.71 % (3005531)CaDiCaL version: 2.1.3
% 16.60/2.71 % (3005531)Termination reason: Instruction limit
% 16.60/2.71 % (3005531)Termination phase: Saturation
% 16.60/2.71 % (3005531)Time elapsed: 0.236 s
% 16.60/2.71 % (3005531)Peak memory usage: 15 MB
% 16.60/2.71 % (3005531)Instructions burned: 478 (million)
% 16.60/2.71 % (3005544)fmb+10_1_sil=64000:random_seed=1030230069:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 16.60/2.71 % (3005544)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.60/2.71 % (3005526)Instruction limit reached!
% 16.60/2.71 % (3005526)------------------------------
% 16.60/2.71 % (3005526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.60/2.71 % (3005526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/2.71 % (3005526)CaDiCaL version: 2.1.3
% 16.60/2.71 % (3005526)Termination reason: Instruction limit
% 16.60/2.71 % (3005526)Termination phase: Saturation
% 17.00/2.87 % (3005526)Time elapsed: 0.310 s
% 17.00/2.87 % (3005526)Peak memory usage: 15 MB
% 17.00/2.87 % (3005526)Instructions burned: 684 (million)
% 17.00/2.87 % Exception at run slice level
% 17.00/2.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.00/2.87 % (3005546)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1209978562:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 17.00/2.87 % (3005547)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1081341204:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 17.00/2.87 % Exception at run slice level
% 17.00/2.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.00/2.87 % Exception at run slice level
% 17.00/2.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.00/2.87 % (3005550)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3458404470:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 17.00/2.87 % (3005551)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1122211876:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 17.00/2.87 % (3005550)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.00/2.87 % (3005551)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.00/2.87 % (3005539)Instruction limit reached!
% 17.00/2.87 % (3005539)------------------------------
% 17.00/2.87 % (3005539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.87 % (3005539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.87 % (3005539)CaDiCaL version: 2.1.3
% 17.00/2.87 % (3005539)Termination reason: Instruction limit
% 17.00/2.87 % (3005539)Termination phase: Saturation
% 17.00/2.87 % (3005539)Time elapsed: 0.321 s
% 17.00/2.87 % (3005539)Peak memory usage: 16 MB
% 17.00/2.87 % (3005539)Instructions burned: 692 (million)
% 17.00/2.87 % (3005551)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.00/2.87 % (3005554)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3070822450:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 17.00/2.87 % Exception at run slice level
% 17.00/2.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.00/2.87 % (3005556)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1229154149:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 17.00/2.87 % (3005536)Instruction limit reached!
% 17.00/2.87 % (3005536)------------------------------
% 17.00/2.87 % (3005536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.87 % (3005536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.87 % (3005536)CaDiCaL version: 2.1.3
% 17.00/2.87 % (3005536)Termination reason: Instruction limit
% 17.00/2.87 % (3005536)Termination phase: Saturation
% 17.00/2.87 % (3005536)Time elapsed: 0.460 s
% 17.00/2.87 % (3005536)Peak memory usage: 20 MB
% 17.00/2.87 % (3005536)Instructions burned: 1182 (million)
% 17.00/2.87 % (3005558)ott-2_1_sil=16000:newcnf=on:random_seed=1355157270:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 17.00/2.87 % Exception at run slice level
% 17.00/2.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.00/2.87 % (3005558)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.00/2.87 % (3005560)ott+10_1_sil=32000:tgt=ground:random_seed=188578570:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 17.00/2.87 % (3005542)Instruction limit reached!
% 17.00/2.87 % (3005542)------------------------------
% 17.00/2.87 % (3005542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.87 % (3005542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.87 % (3005542)CaDiCaL version: 2.1.3
% 17.00/2.87 % (3005542)Termination reason: Instruction limit
% 17.00/2.87 % (3005542)Termination phase: Saturation
% 17.00/2.87 % (3005542)Time elapsed: 0.427 s
% 17.00/2.87 % (3005542)Peak memory usage: 19 MB
% 17.00/2.87 % (3005542)Instructions burned: 879 (million)
% 17.00/2.87 % (3005562)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2751138123:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 17.00/2.87 % Exception at run slice level
% 17.00/2.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.00/2.87 % (3005564)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2742947494:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 17.00/2.87 % (3005564)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.00/2.87 % (3005558)Instruction limit reached!
% 17.00/2.87 % (3005558)------------------------------
% 17.00/2.87 % (3005558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.87 % (3005558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.87 % (3005558)CaDiCaL version: 2.1.3
% 17.00/2.87 % (3005558)Termination reason: Instruction limit
% 17.00/2.87 % (3005558)Termination phase: Saturation
% 17.00/2.87 % (3005558)Time elapsed: 0.204 s
% 17.00/2.87 % (3005558)Peak memory usage: 18 MB
% 17.00/2.87 % (3005558)Instructions burned: 870 (million)
% 17.00/2.87 % (3005566)dis+21_1_sil=32000:sas=cadical:random_seed=2479859293:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 17.00/2.87 % (3005551)Instruction limit reached!
% 17.00/2.87 % (3005551)------------------------------
% 17.00/2.87 % (3005551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.87 % (3005551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.87 % (3005551)CaDiCaL version: 2.1.3
% 17.00/2.87 % (3005551)Termination reason: Instruction limit
% 17.00/2.87 % (3005551)Termination phase: Saturation
% 17.00/2.87 % (3005551)Time elapsed: 0.727 s
% 17.00/2.87 % (3005551)Peak memory usage: 21 MB
% 17.00/2.87 % (3005551)Instructions burned: 1474 (million)
% 17.00/2.87 % (3005568)ott+11_1_sil=16000:gs=on:random_seed=3052856588:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 17.00/2.87 % (3005568)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.00/2.87 % (3005566)Instruction limit reached!
% 17.00/2.87 % (3005566)------------------------------
% 17.00/2.87 % (3005566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.87 % (3005566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.87 % (3005566)CaDiCaL version: 2.1.3
% 17.00/2.87 % (3005566)Termination reason: Instruction limit
% 17.00/2.87 % (3005566)Termination phase: Saturation
% 17.00/2.87 % (3005566)Time elapsed: 0.905 s
% 17.00/2.87 % (3005566)Peak memory usage: 26 MB
% 17.00/2.87 % (3005566)Instructions burned: 3774 (million)
% 17.00/2.87 % (3005570)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=913227610:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 17.00/2.87 % Exception at run slice level
% 17.00/2.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.00/2.87 % (3005572)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2478090238:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2981 on theBenchmark for (2981ds/4591Mi)
% 17.00/2.87 % (3005568)Instruction limit reached!
% 17.00/2.87 % (3005568)------------------------------
% 17.00/2.87 % (3005568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.87 % (3005568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.87 % (3005568)CaDiCaL version: 2.1.3
% 17.00/2.87 % (3005568)Termination reason: Instruction limit
% 17.00/2.87 % (3005568)Termination phase: Saturation
% 17.00/2.87 % (3005568)Time elapsed: 1.043 s
% 17.00/2.87 % (3005568)Peak memory usage: 20 MB
% 17.00/2.87 % (3005568)Instructions burned: 2252 (million)
% 17.00/2.87 % (3005574)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3475137780:i=29340_2976 on theBenchmark for (2976ds/29340Mi)
% 17.00/2.87 % (3005564)Instruction limit reached!
% 17.00/2.87 % (3005564)------------------------------
% 17.00/2.87 % (3005564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.87 % (3005564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.87 % (3005564)CaDiCaL version: 2.1.3
% 17.00/2.87 % (3005564)Termination reason: Instruction limit
% 17.00/2.87 % (3005564)Termination phase: Saturation
% 17.00/2.87 % (3005564)Time elapsed: 1.651 s
% 17.00/2.87 % (3005564)Peak memory usage: 28 MB
% 17.00/2.87 % (3005564)Instructions burned: 3513 (million)
% 17.00/2.87 % (3005576)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=470096583:i=5211_2975 on theBenchmark for (2975ds/5211Mi)
% 17.00/2.87 % (3005550) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3005505-3005550"...
% 17.00/2.87 % (3005550)...printing done.
% 17.00/2.87 % (3005550)Refutation found. Thanks to Tanya!
% 17.00/2.87 % SZS status Theorem for theBenchmark
% 17.00/2.87 % SZS output start Proof for theBenchmark
% 17.00/2.87 thf(type_def_5, type, coindu1593790203_llist: $tType > $tType).
% 17.00/2.87 thf(type_def_6, type, extended_enat: $tType).
% 17.00/2.87 thf(type_def_7, type, set: $tType > $tType).
% 17.00/2.87 thf(type_def_8, type, nat: $tType).
% 17.00/2.87 thf(type_def_9, type, itself: $tType > $tType).
% 17.00/2.87 thf(type_def_10, type, a: $tType).
% 17.00/2.87 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 17.00/2.87 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_1, type, one: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_2, type, neg_numeral: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_3, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_4, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_5, type, finite_finite: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_6, type, semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_7, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_8, type, ab_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_9, type, semilattice_inf: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_10, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_11, type, cancel_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_12, type, ordere779506340up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_13, type, ordere236663937imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_14, type, ordere223160158up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_15, type, strict2144017051up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 17.00/2.87 thf(func_def_16, type, coindu493225792length: !>[X0: $tType]:((nat > coindu1593790203_llist @ X0 > extended_enat))).
% 17.00/2.87 thf(func_def_17, type, coindu191418589_ldrop: !>[X0: $tType]:((extended_enat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_18, type, coindu438612276pWhile: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_19, type, coindu531130065ldropn: !>[X0: $tType]:((nat > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_20, type, coindu1889960678filter: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_21, type, coindu1213758845finite: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 17.00/2.87 thf(func_def_22, type, coindu2000965700_llast: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_23, type, coindu1018505716length: !>[X0: $tType]:((coindu1593790203_llist @ X0 > extended_enat))).
% 17.00/2.87 thf(func_def_24, type, coindu1046438764le_lhd: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_25, type, coindu335574135_lnull: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 17.00/2.87 thf(func_def_26, type, coindu1112613586e_lset: !>[X0: $tType]:((coindu1593790203_llist @ X0 > set @ X0))).
% 17.00/2.87 thf(func_def_27, type, coindu1047225960le_ltl: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_28, type, coindu749330388e_lnth: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat > X0))).
% 17.00/2.87 thf(func_def_29, type, coindu721411036eWhile: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_30, type, coindu1491768222unfold: !>[X0: $tType]:(((X0 > $o) > (X0 > X0) > X0 > extended_enat))).
% 17.00/2.87 thf(func_def_31, type, extended_enat2: (nat > extended_enat)).
% 17.00/2.87 thf(func_def_32, type, extended_rec_enat: !>[X0: $tType]:(((nat > X0) > X0 > extended_enat > X0))).
% 17.00/2.87 thf(func_def_33, type, extended_the_enat: (extended_enat > nat)).
% 17.00/2.87 thf(func_def_34, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 17.00/2.87 thf(func_def_35, type, one_one: !>[X0: $tType]:(X0)).
% 17.00/2.87 thf(func_def_36, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 17.00/2.87 thf(func_def_37, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 17.00/2.87 thf(func_def_38, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 17.00/2.87 thf(func_def_39, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 17.00/2.87 thf(func_def_40, type, type2: !>[X0: $tType]:(itself @ X0)).
% 17.00/2.87 thf(func_def_41, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 17.00/2.87 thf(func_def_42, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 17.00/2.87 thf(func_def_43, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 17.00/2.87 thf(func_def_44, type, p: (a > $o)).
% 17.00/2.87 thf(func_def_45, type, n: nat).
% 17.00/2.87 thf(func_def_46, type, xs: coindu1593790203_llist @ a).
% 17.00/2.87 thf(func_def_47, type, xsa: coindu1593790203_llist @ a).
% 17.00/2.87 thf(func_def_49, type, db0: !>[X0: $tType]:(X0)).
% 17.00/2.87 thf(func_def_50, type, vNOT: ($o > $o)).
% 17.00/2.87 thf(func_def_51, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 17.00/2.87 thf(func_def_54, type, vAND: ($o > $o > $o)).
% 17.00/2.87 thf(func_def_55, type, vOR: ($o > $o > $o)).
% 17.00/2.87 thf(func_def_56, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 17.00/2.87 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 17.00/2.87 thf(func_def_58, type, vIMP: ($o > $o > $o)).
% 17.00/2.87 thf(func_def_59, type, db2: !>[X0: $tType]:(X0)).
% 17.00/2.87 thf(func_def_60, type, db1: !>[X0: $tType]:(X0)).
% 17.00/2.87 thf(func_def_61, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 17.00/2.87 thf(func_def_62, type, sK0: nat).
% 17.00/2.87 thf(func_def_63, type, sK1: a).
% 17.00/2.87 thf(func_def_64, type, sK2: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_65, type, sK3: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_66, type, sK4: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_67, type, sK5: !>[X0: $tType]:(((set @ X0 > $o) > set @ X0))).
% 17.00/2.87 thf(func_def_68, type, sK6: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 17.00/2.87 thf(func_def_69, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 17.00/2.87 thf(func_def_70, type, sK8: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_71, type, sK9: (nat > extended_enat > nat)).
% 17.00/2.87 thf(func_def_72, type, sK10: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_73, type, sK11: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X0))).
% 17.00/2.87 thf(func_def_74, type, sK12: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 17.00/2.87 thf(func_def_75, type, sK13: !>[X0: $tType, X1: $tType]:(((X0 > $o) > set @ X1 > (X1 > X0) > X1))).
% 17.00/2.87 thf(func_def_76, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X1 > X1 > X0))).
% 17.00/2.87 thf(func_def_77, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X1 > X1))).
% 17.00/2.87 thf(func_def_78, type, sK16: ((extended_enat > $o) > extended_enat)).
% 17.00/2.87 thf(func_def_79, type, sK17: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 17.00/2.87 thf(func_def_80, type, sK18: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X0 > set @ X1 > X0))).
% 17.00/2.87 thf(func_def_81, type, sK19: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > set @ X0 > set @ X1 > X1))).
% 17.00/2.87 thf(func_def_82, type, sK20: !>[X0: $tType]:(((X0 > $o) > X0))).
% 17.00/2.87 thf(func_def_83, type, sK21: (extended_enat > nat)).
% 17.00/2.87 thf(func_def_84, type, sK22: !>[X0: $tType]:((nat > (X0 > extended_enat) > X0))).
% 17.00/2.87 thf(func_def_85, type, sK23: !>[X0: $tType]:(((X0 > extended_enat) > X0))).
% 17.00/2.87 thf(func_def_86, type, sK24: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 17.00/2.87 thf(func_def_87, type, sK25: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 17.00/2.87 thf(func_def_88, type, sK26: ((nat > $o) > nat)).
% 17.00/2.87 thf(func_def_89, type, sK27: ((nat > $o) > nat)).
% 17.00/2.87 thf(func_def_90, type, sK28: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 17.00/2.87 thf(func_def_91, type, sK29: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 17.00/2.87 thf(func_def_92, type, sK30: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_93, type, sK31: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_94, type, sK32: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat > X0 > X0))).
% 17.00/2.87 thf(func_def_95, type, sK33: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_96, type, sK34: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_97, type, sK35: !>[X0: $tType]:((((nat > X0 > X0) > nat > nat > X0 > $o) > X0))).
% 17.00/2.87 thf(func_def_98, type, sK36: (set @ nat > nat > nat)).
% 17.00/2.87 thf(func_def_99, type, sK37: (nat > set @ nat > nat)).
% 17.00/2.87 thf(func_def_100, type, sK38: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_101, type, sK39: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_102, type, sK40: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_103, type, sK41: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_104, type, sK42: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_105, type, sK43: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > X0))).
% 17.00/2.87 thf(func_def_106, type, sK44: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 17.00/2.87 thf(func_def_107, type, sK45: (extended_enat > extended_enat > nat)).
% 17.00/2.87 thf(func_def_108, type, sK46: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 17.00/2.87 thf(func_def_109, type, sK47: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 17.00/2.87 thf(func_def_110, type, sK48: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 17.00/2.87 thf(func_def_111, type, sK49: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 17.00/2.87 thf(func_def_112, type, sK50: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 17.00/2.87 thf(func_def_113, type, sK51: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 17.00/2.87 thf(func_def_114, type, sK52: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 17.00/2.87 thf(func_def_115, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1) > (X2 > $o) > (X0 > $o) > nat > X1))).
% 17.00/2.87 thf(func_def_116, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1) > (X2 > $o) > (X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_117, type, sK55: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > nat > X1))).
% 17.00/2.87 thf(func_def_118, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_119, type, sK57: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > nat > X0))).
% 17.00/2.87 thf(func_def_120, type, sK58: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1 > nat))).
% 17.00/2.87 thf(func_def_121, type, sK59: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > X1))).
% 17.00/2.87 thf(func_def_122, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > nat > X0))).
% 17.00/2.87 thf(func_def_123, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > nat))).
% 17.00/2.87 thf(func_def_124, type, sK62: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > nat))).
% 17.00/2.87 thf(func_def_125, type, sK63: !>[X0: $tType]:((nat > coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_126, type, sK64: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_127, type, sK65: (set @ nat > nat > nat)).
% 17.00/2.87 thf(func_def_128, type, sK66: (set @ nat > nat)).
% 17.00/2.87 thf(func_def_129, type, sK67: (set @ nat > nat > nat)).
% 17.00/2.87 thf(func_def_130, type, sK68: (set @ nat > nat)).
% 17.00/2.87 thf(func_def_131, type, sK69: (set @ nat > nat)).
% 17.00/2.87 thf(func_def_132, type, sK70: (nat > set @ nat > nat)).
% 17.00/2.87 thf(func_def_133, type, sK71: (set @ nat > nat > nat)).
% 17.00/2.87 thf(func_def_134, type, sK72: (set @ nat > nat)).
% 17.00/2.87 thf(func_def_135, type, sK73: (set @ nat > nat)).
% 17.00/2.87 thf(func_def_136, type, sK74: (nat > (nat > $o) > nat > nat)).
% 17.00/2.87 thf(func_def_137, type, sK75: (nat > (nat > $o) > nat)).
% 17.00/2.87 thf(func_def_138, type, sK76: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_139, type, sK77: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_140, type, sK78: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_141, type, sK79: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_142, type, sK80: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_143, type, sK81: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 17.00/2.87 thf(func_def_144, type, sK82: !>[X0: $tType]:((set @ X0 > nat))).
% 17.00/2.87 thf(func_def_145, type, sK83: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 17.00/2.87 thf(func_def_146, type, sK84: !>[X0: $tType]:((set @ X0 > nat))).
% 17.00/2.87 thf(func_def_147, type, sK85: !>[X0: $tType]:(((X0 > $o) > nat > X0))).
% 17.00/2.87 thf(func_def_148, type, sK86: !>[X0: $tType]:(((X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_149, type, sK87: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 17.00/2.87 thf(func_def_150, type, sK88: !>[X0: $tType]:((set @ X0 > nat))).
% 17.00/2.87 thf(func_def_151, type, sK89: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 17.00/2.87 thf(func_def_152, type, sK90: !>[X0: $tType]:((set @ X0 > nat))).
% 17.00/2.87 thf(func_def_153, type, sK91: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 17.00/2.87 thf(func_def_154, type, sK92: !>[X0: $tType]:((set @ X0 > nat))).
% 17.00/2.87 thf(func_def_155, type, sK93: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 17.00/2.87 thf(func_def_156, type, sK94: !>[X0: $tType]:((set @ X0 > nat))).
% 17.00/2.87 thf(func_def_157, type, sK95: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat > nat))).
% 17.00/2.87 thf(func_def_158, type, sK96: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_159, type, sK97: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_160, type, sK98: !>[X0: $tType]:((set @ X0 > nat > X0))).
% 17.00/2.87 thf(func_def_161, type, sK99: !>[X0: $tType]:((set @ X0 > nat))).
% 17.00/2.87 thf(func_def_162, type, sK100: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X0 > X1))).
% 17.00/2.87 thf(func_def_163, type, sK101: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_164, type, sK102: !>[X0: $tType]:(((nat > X0) > nat > nat > X0))).
% 17.00/2.87 thf(func_def_165, type, sK103: !>[X0: $tType]:(((nat > X0) > nat > nat))).
% 17.00/2.87 thf(func_def_166, type, sK104: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_167, type, sK105: !>[X0: $tType]:(((set @ X0 > $o) > nat > X0))).
% 17.00/2.87 thf(func_def_168, type, sK106: !>[X0: $tType]:(((set @ X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_169, type, sK107: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_170, type, sK108: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_171, type, sK109: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_172, type, sK110: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_173, type, sK111: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat > X0))).
% 17.00/2.87 thf(func_def_174, type, sK112: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_175, type, sK113: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 17.00/2.87 thf(func_def_176, type, sK114: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_177, type, sK115: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_178, type, sK116: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_179, type, sK117: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_180, type, sK118: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_181, type, sK119: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_182, type, sK120: !>[X0: $tType]:((coindu1593790203_llist @ X0 > nat))).
% 17.00/2.87 thf(func_def_183, type, sK121: (nat > nat > nat)).
% 17.00/2.87 thf(func_def_184, type, sK122: (nat > nat)).
% 17.00/2.87 thf(func_def_185, type, sK123: nat).
% 17.00/2.87 thf(func_def_186, type, sK124: nat).
% 17.00/2.87 thf(func_def_187, type, sK125: (coindu1593790203_llist @ a > nat > nat)).
% 17.00/2.87 thf(func_def_188, type, sK126: (coindu1593790203_llist @ a > nat)).
% 17.00/2.87 thf(func_def_189, type, sK127: (coindu1593790203_llist @ a > nat)).
% 17.00/2.87 thf(func_def_190, type, sK128: !>[X0: $tType]:(((X0 > $o) > nat > X0))).
% 17.00/2.87 thf(func_def_191, type, sK129: !>[X0: $tType]:(((X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_192, type, sK130: !>[X0: $tType]:(((X0 > $o) > nat > X0))).
% 17.00/2.87 thf(func_def_193, type, sK131: !>[X0: $tType]:(((X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_194, type, sK132: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat > X0))).
% 17.00/2.87 thf(func_def_195, type, sK133: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat))).
% 17.00/2.87 thf(func_def_196, type, sK134: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat > X0))).
% 17.00/2.87 thf(func_def_197, type, sK135: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat))).
% 17.00/2.88 thf(func_def_198, type, sK136: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat > X0))).
% 17.00/2.88 thf(func_def_199, type, sK137: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > nat))).
% 17.00/2.88 thf(func_def_200, type, sK138: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > nat > X0))).
% 17.00/2.88 thf(func_def_201, type, sK139: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > nat))).
% 17.00/2.88 thf(func_def_202, type, sK140: !>[X0: $tType]:((set @ X0 > set @ X0 > nat > X0))).
% 17.00/2.88 thf(func_def_203, type, sK141: !>[X0: $tType]:((set @ X0 > set @ X0 > nat))).
% 17.00/2.88 thf(func_def_204, type, sK142: !>[X0: $tType]:((set @ X0 > set @ X0 > nat > X0))).
% 17.00/2.88 thf(func_def_205, type, sK143: !>[X0: $tType]:((set @ X0 > set @ X0 > nat))).
% 17.00/2.88 thf(func_def_206, type, sK144: (nat > nat)).
% 17.00/2.88 thf(func_def_207, type, sK145: nat).
% 17.00/2.88 thf(func_def_208, type, db4: !>[X0: $tType]:(X0)).
% 17.00/2.88 thf(func_def_209, type, db3: !>[X0: $tType]:(X0)).
% 17.00/2.88 thf(func_def_210, type, db6: !>[X0: $tType]:(X0)).
% 17.00/2.88 thf(func_def_211, type, db5: !>[X0: $tType]:(X0)).
% 17.00/2.88 thf(func_def_212, type, sK146: (set @ nat > nat)).
% 17.00/2.88 thf(func_def_213, type, sK147: (set @ nat > nat > nat)).
% 17.00/2.88 thf(func_def_214, type, sK148: (set @ nat > nat)).
% 17.00/2.88 thf(func_def_215, type, sK149: (set @ nat > nat > nat)).
% 17.00/2.88 thf(f1,axiom,(
% 17.00/2.88 (finite_finite2 @ nat @ (inf_inf @ set @ nat @ (collect @ nat @ (^[X3 : nat] : ((ord_less @ extended_enat @ (extended_enat2 @ X3) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X4 : a] : (~(p @ X4))) @ xsa))))))) @ (collect @ nat @ (^[X3 : nat] : ((p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X4 : a] : (~(p @ X4))) @ xsa)) @ X3)))))))),
% 17.00/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062finite_A_I_123n_O_Aenat_An_A_060_Allength_A_Iltl_A_IldropWhile_A_I_092_060lambda_062x_O_A_092_060not_062_AP_Ax_J_Axs_J_J_125_A_092_060inter_062_A_123n_O_AP_A_Ilnth_A_Iltl_A_IldropWhile_A_I_092_060lambda_062x_O_A_092_060not_062_AP_Ax_J_Axs_J_J_An_J_125_J_092_060close_062)).
% 17.00/2.88 thf(f57,axiom,(
% 17.00/2.88 ! [X0 : $tType] : (finite_finite2 @ X0 = (^[X1 : set @ X0] : (? [X2 : nat,X3 : (nat > X0)] : (X1 = ((image @ nat @ X0 @ X3 @ (collect @ nat @ (^[X4 : nat] : ((ord_less @ nat @ X4 @ X2))))))))))),
% 17.00/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_finite__conv__nat__seg__image)).
% 17.00/2.88 thf(f94,axiom,(
% 17.00/2.88 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X2 > X1),X5 : set @ X2] : (((image @ X1 @ X0 @ X3 @ (image @ X2 @ X1 @ X4 @ X5))) = ((image @ X2 @ X0 @ (^[X6 : X2] : ((X3 @ (X4 @ X6)))) @ X5)))),
% 17.00/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_image__image)).
% 17.00/2.88 thf(f201,axiom,(
% 17.00/2.88 ! [X0 : $tType] : (coindu438612276pWhile @ X0 = (^[X1 : (X0 > $o), X2 : coindu1593790203_llist @ X0] : ((coindu191418589_ldrop @ X0 @ (coindu1018505716length @ X0 @ (coindu721411036eWhile @ X0 @ X1 @ X2)) @ X2))))),
% 17.00/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_ldropWhile__eq__ldrop)).
% 17.00/2.88 thf(f230,axiom,(
% 17.00/2.88 ! [X0 : $tType] : (coindu1018505716length @ X0 = ((coindu1491768222unfold @ coindu1593790203_llist @ X0 @ coindu335574135_lnull @ X0 @ coindu1047225960le_ltl @ X0)))),
% 17.00/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_llength__def)).
% 17.00/2.88 thf(f281,conjecture,(
% 17.00/2.88 (finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[X0 : nat] : ((ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X1 : a] : (~(p @ X1))) @ xsa))))))) @ (collect @ nat @ (^[X0 : nat] : ((p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X1 : a] : (~(p @ X1))) @ xsa)) @ X0))))))))),
% 17.00/2.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 17.00/2.88 thf(f282,negated_conjecture,(
% 17.00/2.88 ~(finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[X0 : nat] : ((ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X1 : a] : (~(p @ X1))) @ xsa))))))) @ (collect @ nat @ (^[X0 : nat] : ((p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X1 : a] : (~(p @ X1))) @ xsa)) @ X0))))))))),
% 17.00/2.88 inference(negated_conjecture,[status(cth)],[f281])).
% 17.00/2.88 thf(f283,plain,(
% 17.00/2.88 (finite_finite2 @ nat @ (inf_inf @ set @ nat @ (collect @ nat @ (^[X0 : nat] : ((ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X1 : a] : (~(p @ X1))) @ xsa))))))) @ (collect @ nat @ (^[X2 : nat] : ((p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X3 : a] : (~(p @ X3))) @ xsa)) @ X2)))))))),
% 17.00/2.88 inference(rectify,[],[f1])).
% 17.00/2.88 thf(f284,plain,(
% 17.00/2.88 (((finite_finite2 @ nat @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0))))))) = $true)),
% 17.00/2.88 inference(fool_elimination,[],[f283])).
% 17.00/2.88 thf(f375,plain,(
% 17.00/2.88 ! [X0 : $tType] : (finite_finite2 @ X0 = (^[X1 : set @ X0] : (? [X2 : nat,X3 : (nat > X0)] : (X1 = ((image @ nat @ X0 @ X3 @ (collect @ nat @ (^[X4 : nat] : ((ord_less @ nat @ X4 @ X2))))))))))),
% 17.00/2.88 inference(rectify,[],[f57])).
% 17.00/2.88 thf(f376,plain,(
% 17.00/2.88 ! [X0 : $tType] : (finite_finite2 @ X0 = (^[Y0 : set @ X0]: (?? @ (nat > X0) @ (^[Y1 : nat > X0]: (?? @ nat @ (^[Y2 : nat]: (Y0 = (image @ nat @ X0 @ Y1 @ (collect @ nat @ (^[Y3 : nat]: (ord_less @ nat @ Y3 @ Y2)))))))))))),
% 17.00/2.88 inference(fool_elimination,[],[f375])).
% 17.00/2.88 thf(f439,plain,(
% 17.00/2.88 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X2 > X1),X5 : set @ X2] : (((image @ X1 @ X0 @ X3 @ (image @ X2 @ X1 @ X4 @ X5))) = ((image @ X2 @ X0 @ (^[X6 : X2] : ((X3 @ (X4 @ X6)))) @ X5)))),
% 17.00/2.88 inference(rectify,[],[f94])).
% 17.00/2.88 thf(f440,plain,(
% 17.00/2.88 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X2 > X1),X5 : set @ X2] : (((image @ X1 @ X0 @ X3 @ (image @ X2 @ X1 @ X4 @ X5))) = ((image @ X2 @ X0 @ (^[Y0 : X2]: (X3 @ (X4 @ Y0))) @ X5)))),
% 17.00/2.88 inference(fool_elimination,[],[f439])).
% 17.00/2.88 thf(f630,plain,(
% 17.00/2.88 ! [X0 : $tType] : (coindu438612276pWhile @ X0 = (^[Y0 : X0 > $o]: ((^[Y1 : coindu1593790203_llist @ X0]: (coindu191418589_ldrop @ X0 @ (coindu1018505716length @ X0 @ (coindu721411036eWhile @ X0 @ Y0 @ Y1)) @ Y1)))))),
% 17.00/2.88 inference(fool_elimination,[],[f201])).
% 17.00/2.88 thf(f781,plain,(
% 17.00/2.88 ~(finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[X0 : nat] : ((ord_less @ extended_enat @ (extended_enat2 @ X0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X1 : a] : (~(p @ X1))) @ xsa))))))) @ (collect @ nat @ (^[X2 : nat] : ((p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[X3 : a] : (~(p @ X3))) @ xsa)) @ X2))))))))),
% 17.00/2.88 inference(rectify,[],[f282])).
% 17.00/2.88 thf(f782,plain,(
% 17.00/2.88 ~ ($true = ((finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0)))))))))),
% 17.00/2.88 inference(fool_elimination,[],[f781])).
% 17.00/2.88 thf(f825,plain,(
% 17.00/2.88 ($true != ((finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0)))))))))),
% 17.00/2.88 inference(flattening,[],[f782])).
% 17.00/2.88 thf(f1085,plain,(
% 17.00/2.88 (((finite_finite2 @ nat @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0))))))) = $true)),
% 17.00/2.88 inference(cnf_transformation,[],[f284])).
% 17.00/2.88 thf(f1152,plain,(
% 17.00/2.88 ( ! [X0 : $tType] : ((finite_finite2 @ X0 = (^[Y0 : set @ X0]: (?? @ (nat > X0) @ (^[Y1 : nat > X0]: (?? @ nat @ (^[Y2 : nat]: (Y0 = (image @ nat @ X0 @ Y1 @ (collect @ nat @ (^[Y3 : nat]: (ord_less @ nat @ Y3 @ Y2)))))))))))) )),
% 17.00/2.88 inference(cnf_transformation,[],[f376])).
% 17.00/2.88 thf(f1195,plain,(
% 17.00/2.88 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X2 > X1),X5 : set @ X2] : ((((image @ X1 @ X0 @ X3 @ (image @ X2 @ X1 @ X4 @ X5))) = ((image @ X2 @ X0 @ (^[Y0 : X2]: (X3 @ (X4 @ Y0))) @ X5)))) )),
% 17.00/2.88 inference(cnf_transformation,[],[f440])).
% 17.00/2.88 thf(f1326,plain,(
% 17.00/2.88 ( ! [X0 : $tType] : ((coindu438612276pWhile @ X0 = (^[Y0 : X0 > $o]: ((^[Y1 : coindu1593790203_llist @ X0]: (coindu191418589_ldrop @ X0 @ (coindu1018505716length @ X0 @ (coindu721411036eWhile @ X0 @ Y0 @ Y1)) @ Y1)))))) )),
% 17.00/2.88 inference(cnf_transformation,[],[f630])).
% 17.00/2.88 thf(f1373,plain,(
% 17.00/2.88 ( ! [X0 : $tType] : ((coindu1018505716length @ X0 = ((coindu1491768222unfold @ coindu1593790203_llist @ X0 @ coindu335574135_lnull @ X0 @ coindu1047225960le_ltl @ X0)))) )),
% 17.00/2.88 inference(cnf_transformation,[],[f230])).
% 17.00/2.88 thf(f1428,plain,(
% 17.00/2.88 ($true != ((finite_finite2 @ nat @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1018505716length @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu438612276pWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0)))))))))),
% 17.00/2.88 inference(cnf_transformation,[],[f825])).
% 17.00/2.88 thf(f1433,plain,(
% 17.00/2.88 ( ! [X0 : $tType] : ((coindu438612276pWhile @ X0 = (^[Y0 : X0 > $o]: ((^[Y1 : coindu1593790203_llist @ X0]: (coindu191418589_ldrop @ X0 @ (coindu1491768222unfold @ coindu1593790203_llist @ X0 @ coindu335574135_lnull @ X0 @ coindu1047225960le_ltl @ X0 @ (coindu721411036eWhile @ X0 @ Y0 @ Y1)) @ Y1)))))) )),
% 17.00/2.88 inference(definition_unfolding,[],[f1326,f1373])).
% 17.00/2.88 thf(f1435,plain,(
% 17.00/2.88 ($true = (((^[Y0 : set @ nat]: (?? @ (nat > nat) @ (^[Y1 : nat > nat]: (?? @ nat @ (^[Y2 : nat]: (Y0 = (image @ nat @ nat @ Y1 @ (collect @ nat @ (^[Y3 : nat]: (ord_less @ nat @ Y3 @ Y2)))))))))) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ ((^[Y1 : a > $o]: ((^[Y2 : coindu1593790203_llist @ a]: (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ Y1 @ Y2)) @ Y2)))) @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ ((^[Y1 : a > $o]: ((^[Y2 : coindu1593790203_llist @ a]: (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ Y1 @ Y2)) @ Y2)))) @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0))))))))),
% 17.00/2.88 inference(definition_unfolding,[],[f1085,f1152,f1373,f1433,f1433])).
% 17.00/2.88 thf(f1535,plain,(
% 17.00/2.88 ($true != (((^[Y0 : set @ nat]: (?? @ (nat > nat) @ (^[Y1 : nat > nat]: (?? @ nat @ (^[Y2 : nat]: (Y0 = (image @ nat @ nat @ Y1 @ (collect @ nat @ (^[Y3 : nat]: (ord_less @ nat @ Y3 @ Y2)))))))))) @ (image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ ((^[Y1 : a > $o]: ((^[Y2 : coindu1593790203_llist @ a]: (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ Y1 @ Y2)) @ Y2)))) @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ ((^[Y1 : a > $o]: ((^[Y2 : coindu1593790203_llist @ a]: (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ Y1 @ Y2)) @ Y2)))) @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ Y0)))))))))),
% 17.00/2.88 inference(definition_unfolding,[],[f1428,f1152,f1373,f1433,f1433])).
% 17.00/2.88 thf(f1553,plain,(
% 17.00/2.88 ($true != ((?? @ (nat > nat) @ (^[Y0 : nat > nat]: (?? @ nat @ (^[Y1 : nat]: ((image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y2) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y2 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)) @ Y2)))))) = (image @ nat @ nat @ Y0 @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ nat @ Y2 @ Y1)))))))))))),
% 17.00/2.88 inference(beta-eta_normalization,[],[f1535])).
% 17.00/2.88 thf(f1554,plain,(
% 17.00/2.88 ( ! [X1 : (nat > nat)] : (($false = (((^[Y0 : nat > nat]: (?? @ nat @ (^[Y1 : nat]: ((image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y2) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y2 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)) @ Y2)))))) = (image @ nat @ nat @ Y0 @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ nat @ Y2 @ Y1)))))))) @ X1)))) )),
% 17.00/2.88 inference(pi_proxy_clausification,[],[f1553])).
% 17.00/2.88 thf(f1555,plain,(
% 17.00/2.88 ( ! [X1 : (nat > nat)] : (($false = ((?? @ nat @ (^[Y0 : nat]: ((image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y1 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y1) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y2 : a]: (~ (p @ Y2))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y1 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y2 : a]: (~ (p @ Y2))) @ xsa)) @ xsa)) @ Y1)))))) = (image @ nat @ nat @ X1 @ (collect @ nat @ (^[Y1 : nat]: (ord_less @ nat @ Y1 @ Y0)))))))))) )),
% 17.00/2.88 inference(beta-eta_normalization,[],[f1554])).
% 17.00/2.88 thf(f1556,plain,(
% 17.00/2.88 ( ! [X2 : nat,X1 : (nat > nat)] : (($false = (((^[Y0 : nat]: ((image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y1 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y1) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y2 : a]: (~ (p @ Y2))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y1 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y2 : a]: (~ (p @ Y2))) @ xsa)) @ xsa)) @ Y1)))))) = (image @ nat @ nat @ X1 @ (collect @ nat @ (^[Y1 : nat]: (ord_less @ nat @ Y1 @ Y0)))))) @ X2)))) )),
% 17.00/2.88 inference(pi_proxy_clausification,[],[f1555])).
% 17.00/2.88 thf(f1557,plain,(
% 17.00/2.88 ( ! [X2 : nat,X1 : (nat > nat)] : (($false = (((image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ xsa)) @ Y0)))))) = (image @ nat @ nat @ X1 @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ nat @ Y0 @ X2)))))))) )),
% 17.00/2.88 inference(beta-eta_normalization,[],[f1556])).
% 17.00/2.88 thf(f1558,plain,(
% 17.00/2.88 ( ! [X2 : nat,X1 : (nat > nat)] : ((((image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ xsa)) @ Y0))))))) != ((image @ nat @ nat @ X1 @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ nat @ Y0 @ X2))))))) )),
% 17.00/2.88 inference(equality_proxy_clausification,[],[f1557])).
% 17.00/2.88 thf(f2317,plain,(
% 17.00/2.88 ($true = ((?? @ (nat > nat) @ (^[Y0 : nat > nat]: (?? @ nat @ (^[Y1 : nat]: ((inf_inf @ set @ nat @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y2) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y2 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)) @ Y2))))) = (image @ nat @ nat @ Y0 @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ nat @ Y2 @ Y1)))))))))))),
% 17.00/2.88 inference(beta-eta_normalization,[],[f1435])).
% 17.00/2.88 thf(f2318,plain,(
% 17.00/2.88 ($true = (((^[Y0 : nat > nat]: (?? @ nat @ (^[Y1 : nat]: ((inf_inf @ set @ nat @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y2) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y2 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y3 : a]: (~ (p @ Y3))) @ xsa)) @ xsa)) @ Y2))))) = (image @ nat @ nat @ Y0 @ (collect @ nat @ (^[Y2 : nat]: (ord_less @ nat @ Y2 @ Y1)))))))) @ sK144)))),
% 17.00/2.88 inference(sigma_proxy_clausification,[],[f2317])).
% 17.00/2.88 thf(f2319,plain,(
% 17.00/2.88 ($true = ((?? @ nat @ (^[Y0 : nat]: ((inf_inf @ set @ nat @ (collect @ nat @ (^[Y1 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y1) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y2 : a]: (~ (p @ Y2))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y1 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y2 : a]: (~ (p @ Y2))) @ xsa)) @ xsa)) @ Y1))))) = (image @ nat @ nat @ sK144 @ (collect @ nat @ (^[Y1 : nat]: (ord_less @ nat @ Y1 @ Y0)))))))))),
% 17.00/2.88 inference(beta-eta_normalization,[],[f2318])).
% 17.00/2.88 thf(f2320,plain,(
% 17.00/2.88 ($true = (((^[Y0 : nat]: ((inf_inf @ set @ nat @ (collect @ nat @ (^[Y1 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y1) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y2 : a]: (~ (p @ Y2))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y1 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y2 : a]: (~ (p @ Y2))) @ xsa)) @ xsa)) @ Y1))))) = (image @ nat @ nat @ sK144 @ (collect @ nat @ (^[Y1 : nat]: (ord_less @ nat @ Y1 @ Y0)))))) @ sK145)))),
% 17.00/2.88 inference(sigma_proxy_clausification,[],[f2319])).
% 17.00/2.88 thf(f2321,plain,(
% 17.00/2.88 ($true = (((inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ xsa)) @ Y0))))) = (image @ nat @ nat @ sK144 @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ nat @ Y0 @ sK145)))))))),
% 17.00/2.88 inference(beta-eta_normalization,[],[f2320])).
% 17.00/2.88 thf(f2322,plain,(
% 17.00/2.88 (((inf_inf @ set @ nat @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ extended_enat @ (extended_enat2 @ Y0) @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ xsa)))))) @ (collect @ nat @ (^[Y0 : nat]: (p @ (coindu749330388e_lnth @ a @ (coindu1047225960le_ltl @ a @ (coindu191418589_ldrop @ a @ (coindu1491768222unfold @ coindu1593790203_llist @ a @ coindu335574135_lnull @ a @ coindu1047225960le_ltl @ a @ (coindu721411036eWhile @ a @ (^[Y1 : a]: (~ (p @ Y1))) @ xsa)) @ xsa)) @ Y0)))))) = ((image @ nat @ nat @ sK144 @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ nat @ Y0 @ sK145))))))),
% 17.00/2.88 inference(equality_proxy_clausification,[],[f2321])).
% 17.00/2.88 thf(f18739,plain,(
% 17.00/2.88 ( ! [X0 : (nat > nat),X1 : nat] : ((((image @ nat @ nat @ X0 @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ nat @ Y0 @ X1))))) != ((image @ nat @ nat @ (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat)) @ (image @ nat @ nat @ sK144 @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ nat @ Y0 @ sK145)))))))) )),
% 17.00/2.88 inference(constrained_superposition,[],[f1558,f2322])).
% 17.00/2.88 thf(f18792,plain,(
% 17.00/2.88 ( ! [X0 : (nat > nat),X1 : nat] : ((((image @ nat @ nat @ X0 @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ nat @ Y0 @ X1))))) != ((image @ nat @ nat @ (^[Y0 : nat]: (plus_plus @ nat @ (plus_plus @ nat @ n @ one_one @ nat) @ (sK144 @ Y0))) @ (collect @ nat @ (^[Y0 : nat]: (ord_less @ nat @ Y0 @ sK145))))))) )),
% 17.00/2.88 inference(constrained_superposition,[],[f18739,f1195])).
% 17.00/2.88 thf(f24694,plain,(
% 17.00/2.88 $false),
% 17.00/2.88 inference(equality_resolution,[],[f18792])).
% 17.00/2.88 % SZS output end Proof for theBenchmark
% 17.00/2.88 % (3005550)------------------------------
% 17.00/2.88 % (3005550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.88 % (3005550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.88 % (3005550)CaDiCaL version: 2.1.3
% 17.00/2.88 % (3005550)Termination reason: Refutation
% 17.00/2.88 % (3005550)Time elapsed: 2.119 s
% 17.00/2.88 % (3005550)Peak memory usage: 33 MB
% 17.00/2.88 % (3005550)Instructions burned: 4562 (million)
% 17.00/2.88 % (3005505)Success in time 2.637 s
% 17.00/2.88 % Vampire exiting
%------------------------------------------------------------------------------