%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT213^1 : 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 : n001.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 07:49:03 AM UTC 2026
% Result : Theorem 8.97s 1.67s
% Output : Refutation 8.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT213^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n001.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 18:15:36 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 5.72/1.09 % (1624595)Will run a generic schedule for satisfiability detection.
% 5.72/1.09 % (1624602)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3644652750:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.72/1.09 % (1624601)% WARNING: option uhcvi not known.
% 5.72/1.09 % (1624600)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=463608302_2999 on theBenchmark for (2999ds/0Mi)
% 5.72/1.09 % (1624601)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=632790928:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.72/1.09 % (1624603)dis+10_1_sil=32000:sp=arity:random_seed=4200308635:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.72/1.09 % (1624604)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3057961213:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.72/1.09 % (1624605)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1336560473:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.72/1.09 % (1624606)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2365150779:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.72/1.09 % (1624601)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.72/1.09 % (1624604)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.72/1.09 % (1624603)Instruction limit reached!
% 5.72/1.09 % (1624603)------------------------------
% 5.72/1.09 % (1624603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (1624603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (1624603)CaDiCaL version: 2.1.3
% 5.72/1.09 % (1624603)Termination reason: Instruction limit
% 5.72/1.09 % (1624603)Termination phase: Property scanning
% 5.72/1.09 % (1624603)Time elapsed: 0.044 s
% 5.72/1.09 % (1624603)Peak memory usage: 12 MB
% 5.72/1.09 % (1624603)Instructions burned: 103 (million)
% 5.72/1.09 % Exception at run slice level
% 5.72/1.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.72/1.09 % (1624601)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.72/1.09 % (1624604)Instruction limit reached!
% 5.72/1.09 % (1624604)------------------------------
% 5.72/1.09 % (1624604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (1624604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (1624604)CaDiCaL version: 2.1.3
% 5.72/1.09 % (1624604)Termination reason: Instruction limit
% 5.72/1.09 % (1624604)Termination phase: Saturation
% 5.72/1.09 % (1624604)Time elapsed: 0.053 s
% 5.72/1.09 % (1624604)Peak memory usage: 13 MB
% 5.72/1.09 % (1624604)Instructions burned: 123 (million)
% 5.72/1.09 % (1624615)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=572259043:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.72/1.09 % (1624614)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3031965023:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.72/1.09 % (1624605)Instruction limit reached!
% 5.72/1.09 % (1624605)------------------------------
% 5.72/1.09 % (1624605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (1624605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (1624605)CaDiCaL version: 2.1.3
% 5.72/1.09 % (1624605)Termination reason: Instruction limit
% 5.72/1.09 % (1624605)Termination phase: Saturation
% 5.72/1.09 % (1624605)Time elapsed: 0.057 s
% 5.72/1.09 % (1624605)Peak memory usage: 13 MB
% 5.72/1.09 % (1624605)Instructions burned: 131 (million)
% 5.72/1.09 % (1624616)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=2526029449:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.72/1.09 % (1624616)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.72/1.09 % (1624619)ott-21_1_sil=16000:fs=off:random_seed=354238205:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.72/1.09 % Exception at run slice level
% 5.72/1.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.72/1.09 % (1624616)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.72/1.09 % (1624615)Instruction limit reached!
% 8.97/1.67 % (1624615)------------------------------
% 8.97/1.67 % (1624615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.67 % (1624615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.67 % (1624615)CaDiCaL version: 2.1.3
% 8.97/1.67 % (1624615)Termination reason: Instruction limit
% 8.97/1.67 % (1624615)Termination phase: Saturation
% 8.97/1.67 % (1624615)Time elapsed: 0.057 s
% 8.97/1.67 % (1624615)Peak memory usage: 13 MB
% 8.97/1.67 % (1624615)Instructions burned: 131 (million)
% 8.97/1.67 % (1624606)Instruction limit reached!
% 8.97/1.67 % (1624606)------------------------------
% 8.97/1.67 % (1624606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.67 % (1624606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.67 % (1624606)CaDiCaL version: 2.1.3
% 8.97/1.67 % (1624606)Termination reason: Instruction limit
% 8.97/1.67 % (1624606)Termination phase: Saturation
% 8.97/1.67 % (1624606)Time elapsed: 0.110 s
% 8.97/1.67 % (1624606)Peak memory usage: 13 MB
% 8.97/1.67 % (1624606)Instructions burned: 160 (million)
% 8.97/1.67 % (1624622)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4100445846:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.97/1.67 % (1624623)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3549804162:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.97/1.67 % (1624624)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2299633438:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 8.97/1.67 % Exception at run slice level
% 8.97/1.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.97/1.67 % (1624619)Instruction limit reached!
% 8.97/1.67 % (1624619)------------------------------
% 8.97/1.67 % (1624619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.67 % (1624619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.67 % (1624619)CaDiCaL version: 2.1.3
% 8.97/1.67 % (1624619)Termination reason: Instruction limit
% 8.97/1.67 % (1624619)Termination phase: Saturation
% 8.97/1.67 % (1624619)Time elapsed: 0.091 s
% 8.97/1.67 % (1624619)Peak memory usage: 13 MB
% 8.97/1.67 % (1624619)Instructions burned: 182 (million)
% 8.97/1.67 % (1624628)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2157245731:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 8.97/1.67 % (1624629)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=2595888334: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)
% 8.97/1.67 % Exception at run slice level
% 8.97/1.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.97/1.67 % (1624629)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.97/1.67 % (1624632)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2138577152:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 8.97/1.67 % (1624632)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.97/1.67 % (1624622)Instruction limit reached!
% 8.97/1.67 % (1624622)------------------------------
% 8.97/1.67 % (1624622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.67 % (1624622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.67 % (1624622)CaDiCaL version: 2.1.3
% 8.97/1.67 % (1624622)Termination reason: Instruction limit
% 8.97/1.67 % (1624622)Termination phase: Saturation
% 8.97/1.67 % (1624622)Time elapsed: 0.242 s
% 8.97/1.67 % (1624622)Peak memory usage: 15 MB
% 8.97/1.67 % (1624622)Instructions burned: 479 (million)
% 8.97/1.67 % (1624634)fmb+10_1_sil=64000:random_seed=266702932:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 8.97/1.67 % (1624616)Instruction limit reached!
% 8.97/1.67 % (1624616)------------------------------
% 8.97/1.67 % (1624616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.67 % (1624616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.67 % (1624616)CaDiCaL version: 2.1.3
% 8.97/1.67 % (1624616)Termination reason: Instruction limit
% 8.97/1.67 % (1624616)Termination phase: Saturation
% 8.97/1.67 % (1624616)Time elapsed: 0.331 s
% 8.97/1.67 % (1624616)Peak memory usage: 15 MB
% 8.97/1.67 % (1624616)Instructions burned: 685 (million)
% 8.97/1.67 % (1624636)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4114458764:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 8.97/1.67 % (1624634)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.97/1.67 % Exception at run slice level
% 8.97/1.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.97/1.67 % (1624638)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1406482937:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 8.97/1.67 % Exception at run slice level
% 8.97/1.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.97/1.67 % (1624640)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2247152121:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 8.97/1.67 % (1624640)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.97/1.67 % Exception at run slice level
% 8.97/1.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.97/1.67 % (1624642)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1443739116:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 8.97/1.67 % (1624642)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.97/1.67 % (1624642)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.97/1.67 % (1624629)Instruction limit reached!
% 8.97/1.67 % (1624629)------------------------------
% 8.97/1.67 % (1624629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.67 % (1624629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.67 % (1624629)CaDiCaL version: 2.1.3
% 8.97/1.67 % (1624629)Termination reason: Instruction limit
% 8.97/1.67 % (1624629)Termination phase: Saturation
% 8.97/1.67 % (1624629)Time elapsed: 0.428 s
% 8.97/1.67 % (1624629)Peak memory usage: 17 MB
% 8.97/1.67 % (1624629)Instructions burned: 693 (million)
% 8.97/1.67 % (1624644)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1122497520:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 8.97/1.67 % (1624632)Instruction limit reached!
% 8.97/1.67 % (1624632)------------------------------
% 8.97/1.67 % (1624632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.67 % (1624632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.67 % (1624632)CaDiCaL version: 2.1.3
% 8.97/1.67 % (1624632)Termination reason: Instruction limit
% 8.97/1.67 % (1624632)Termination phase: Saturation
% 8.97/1.67 % (1624632)Time elapsed: 0.419 s
% 8.97/1.67 % (1624632)Peak memory usage: 18 MB
% 8.97/1.67 % (1624632)Instructions burned: 879 (million)
% 8.97/1.67 % (1624646)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1928642372:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 8.97/1.67 % (1624624)Instruction limit reached!
% 8.97/1.67 % (1624624)------------------------------
% 8.97/1.67 % (1624624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.67 % (1624624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.67 % (1624624)CaDiCaL version: 2.1.3
% 8.97/1.67 % (1624624)Termination reason: Instruction limit
% 8.97/1.67 % (1624624)Termination phase: Saturation
% 8.97/1.67 % (1624624)Time elapsed: 0.584 s
% 8.97/1.67 % (1624624)Peak memory usage: 20 MB
% 8.97/1.67 % (1624624)Instructions burned: 1179 (million)
% 8.97/1.67 % Exception at run slice level
% 8.97/1.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.97/1.67 % (1624649)ott+10_1_sil=32000:tgt=ground:random_seed=894051603:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 8.97/1.67 % (1624648)ott-2_1_sil=16000:newcnf=on:random_seed=354238932:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 8.97/1.67 % Exception at run slice level
% 8.97/1.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.97/1.67 % (1624652)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4221526387:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 8.97/1.67 % (1624648)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.97/1.67 % Exception at run slice level
% 8.97/1.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.97/1.67 % (1624654)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3776707381:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 8.97/1.67 % (1624654)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.97/1.67 % (1624648)Instruction limit reached!
% 8.97/1.67 % (1624648)------------------------------
% 8.97/1.67 % (1624648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.67 % (1624648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.67 % (1624648)CaDiCaL version: 2.1.3
% 8.97/1.67 % (1624648)Termination reason: Instruction limit
% 8.97/1.67 % (1624648)Termination phase: Saturation
% 8.97/1.67 % (1624648)Time elapsed: 0.435 s
% 8.97/1.67 % (1624648)Peak memory usage: 18 MB
% 8.97/1.67 % (1624648)Instructions burned: 870 (million)
% 8.97/1.67 % (1624656)dis+21_1_sil=32000:sas=cadical:random_seed=1386169496:i=3773:amm=off_2987 on theBenchmark for (2987ds/3773Mi)
% 8.97/1.67 % (1624642)Instruction limit reached!
% 8.97/1.67 % (1624642)------------------------------
% 8.97/1.67 % (1624642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.67 % (1624642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.67 % (1624642)CaDiCaL version: 2.1.3
% 8.97/1.67 % (1624642)Termination reason: Instruction limit
% 8.97/1.67 % (1624642)Termination phase: Saturation
% 8.97/1.67 % (1624642)Time elapsed: 0.704 s
% 8.97/1.67 % (1624642)Peak memory usage: 17 MB
% 8.97/1.67 % (1624642)Instructions burned: 1473 (million)
% 8.97/1.67 % (1624658)ott+11_1_sil=16000:gs=on:random_seed=3287006037:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 8.97/1.67 % (1624658)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.97/1.67 % (1624640) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1624595-1624640"...
% 8.97/1.67 % (1624640)...printing done.
% 8.97/1.67 % (1624640)Refutation found. Thanks to Tanya!
% 8.97/1.67 % SZS status Theorem for theBenchmark
% 8.97/1.67 % SZS output start Proof for theBenchmark
% 8.97/1.67 thf(type_def_5, type, tree: $tType > $tType).
% 8.97/1.67 thf(type_def_6, type, real: $tType).
% 8.97/1.67 thf(type_def_7, type, set: $tType > $tType).
% 8.97/1.67 thf(type_def_8, type, nat: $tType).
% 8.97/1.67 thf(type_def_9, type, itself: $tType > $tType).
% 8.97/1.67 thf(type_def_10, type, a: $tType).
% 8.97/1.67 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 8.97/1.67 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_1, type, one: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_3, type, neg_numeral: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_5, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_6, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_7, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_8, type, ln: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_9, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_10, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_11, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_12, type, semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_13, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_14, type, ab_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_15, type, dense_linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_16, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_17, type, cancel_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_18, type, ordere779506340up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_19, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_20, type, ordere236663937imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_21, type, condit1037483654norder: !>[X0: $tType]:((itself @ X0 > $o))).
% 8.97/1.67 thf(func_def_22, type, one_one: !>[X0: $tType]:(X0)).
% 8.97/1.67 thf(func_def_23, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 8.97/1.67 thf(func_def_24, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 8.97/1.67 thf(func_def_25, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.97/1.67 thf(func_def_26, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.97/1.67 thf(func_def_27, type, type2: !>[X0: $tType]:(itself @ X0)).
% 8.97/1.67 thf(func_def_28, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 8.97/1.67 thf(func_def_29, type, splay_is_root: !>[X0: $tType]:((X0 > tree @ X0 > $o))).
% 8.97/1.67 thf(func_def_30, type, splay_splay: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_31, type, splay_splay_max: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_32, type, splay_914434265_splay: !>[X0: $tType]:((X0 > tree @ X0 > nat))).
% 8.97/1.67 thf(func_def_33, type, splay_266122055elle_A: !>[X0: $tType]:((X0 > tree @ X0 > real))).
% 8.97/1.67 thf(func_def_34, type, powr: !>[X0: $tType]:((X0 > X0 > X0))).
% 8.97/1.67 thf(func_def_35, type, linorder_bst: !>[X0: $tType]:((tree @ X0 > $o))).
% 8.97/1.67 thf(func_def_36, type, linorder_bst_eq: !>[X0: $tType]:((tree @ X0 > $o))).
% 8.97/1.67 thf(func_def_37, type, mirror: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_38, type, subtrees: !>[X0: $tType]:((tree @ X0 > set @ tree @ X0))).
% 8.97/1.67 thf(func_def_39, type, leaf: !>[X0: $tType]:(tree @ X0)).
% 8.97/1.67 thf(func_def_40, type, node: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_41, type, case_tree: !>[X0: $tType, X1: $tType]:((X0 > (tree @ X1 > X1 > tree @ X1 > X0) > tree @ X1 > X0))).
% 8.97/1.67 thf(func_def_42, type, is_Leaf: !>[X0: $tType]:((tree @ X0 > $o))).
% 8.97/1.67 thf(func_def_43, type, left: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_44, type, pred_tree: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > $o))).
% 8.97/1.67 thf(func_def_45, type, rec_tree: !>[X0: $tType, X1: $tType]:((X0 > (tree @ X1 > X1 > tree @ X1 > X0 > X0 > X0) > tree @ X1 > X0))).
% 8.97/1.67 thf(func_def_46, type, rel_tree: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > tree @ X0 > tree @ X1 > $o))).
% 8.97/1.67 thf(func_def_47, type, right: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_48, type, set_tree: !>[X0: $tType]:((tree @ X0 > set @ X0))).
% 8.97/1.67 thf(func_def_49, type, val: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_50, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 8.97/1.67 thf(func_def_51, type, a2: a).
% 8.97/1.67 thf(func_def_52, type, t: tree @ a).
% 8.97/1.67 thf(func_def_53, type, thesis: $o).
% 8.97/1.67 thf(func_def_57, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 8.97/1.67 thf(func_def_58, type, vAND: ($o > $o > $o)).
% 8.97/1.67 thf(func_def_59, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.97/1.67 thf(func_def_60, type, db0: !>[X0: $tType]:(X0)).
% 8.97/1.67 thf(func_def_61, type, db1: !>[X0: $tType]:(X0)).
% 8.97/1.67 thf(func_def_62, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 8.97/1.67 thf(func_def_63, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 8.97/1.67 thf(func_def_64, type, vIMP: ($o > $o > $o)).
% 8.97/1.67 thf(func_def_65, type, db2: !>[X0: $tType]:(X0)).
% 8.97/1.67 thf(func_def_66, type, vNOT: ($o > $o)).
% 8.97/1.67 thf(func_def_67, type, vOR: ($o > $o > $o)).
% 8.97/1.67 thf(func_def_68, type, sP0: !>[X0: $tType, X1: $tType]:((tree @ X1 > tree @ X0 > (X1 > X0 > $o) > $o))).
% 8.97/1.67 thf(func_def_69, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 8.97/1.67 thf(func_def_70, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 8.97/1.67 thf(func_def_71, type, sP3: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 8.97/1.67 thf(func_def_72, type, sK4: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_73, type, sK5: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_74, type, sK6: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_75, type, sK7: !>[X0: $tType]:((tree @ X0 > X0 > X0))).
% 8.97/1.67 thf(func_def_76, type, sK8: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_77, type, sK9: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_78, type, sK10: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_79, type, sK11: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_80, type, sK12: !>[X0: $tType]:((tree @ X0 > X0 > X0))).
% 8.97/1.67 thf(func_def_81, type, sK13: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_82, type, sK14: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_83, type, sK15: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > (X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_84, type, sK16: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_85, type, sK17: !>[X0: $tType]:((X0 > tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_86, type, sK18: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_87, type, sK19: !>[X0: $tType]:((tree @ X0 > tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_88, type, sK20: !>[X0: $tType]:((tree @ X0 > tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_89, type, sK21: !>[X0: $tType]:((tree @ X0 > tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_90, type, sK22: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_91, type, sK23: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_92, type, sK24: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_93, type, sK25: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_94, type, sK26: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 8.97/1.67 thf(func_def_95, type, sK27: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_96, type, sK28: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_97, type, sK29: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_98, type, sK30: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_99, type, sK31: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_100, type, sK32: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_101, type, sK33: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_102, type, sK34: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_103, type, sK35: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_104, type, sK36: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_105, type, sK37: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_106, type, sK38: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_107, type, sK39: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_108, type, sK40: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_109, type, sK41: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_110, type, sK42: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_111, type, sK43: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_112, type, sK44: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_113, type, sK45: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_114, type, sK46: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_115, type, sK47: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_116, type, sK48: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_117, type, sK49: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_118, type, sK50: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_119, type, sK51: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_120, type, sK52: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_121, type, sK53: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_122, type, sK54: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_123, type, sK55: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_124, type, sK56: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_125, type, sK57: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_126, type, sK58: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_127, type, sK59: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_128, type, sK60: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_129, type, sK61: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_130, type, sK62: !>[X0: $tType]:(($o > tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_131, type, sK63: !>[X0: $tType]:(($o > tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_132, type, sK64: !>[X0: $tType]:(($o > tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_133, type, sK65: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_134, type, sK66: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_135, type, sK67: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_136, type, sK68: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_137, type, sK69: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_138, type, sK70: !>[X0: $tType]:((X0 > tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_139, type, sK71: !>[X0: $tType]:((X0 > tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_140, type, sK72: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_141, type, sK73: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_142, type, sK74: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_143, type, sK75: !>[X0: $tType]:(($o > tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_144, type, sK76: !>[X0: $tType]:(($o > tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_145, type, sK77: !>[X0: $tType]:(($o > tree @ X0 > tree @ X0))).
% 8.97/1.67 thf(func_def_146, type, sK78: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.67 thf(func_def_147, type, sK79: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.67 thf(func_def_148, type, sK80: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.67 thf(func_def_149, type, sK81: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.67 thf(func_def_150, type, sK82: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.67 thf(func_def_151, type, sK83: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.67 thf(func_def_152, type, sK84: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.67 thf(func_def_153, type, sK85: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.67 thf(func_def_154, type, sK86: !>[X0: $tType]:((X0 > X0 > X0))).
% 8.97/1.67 thf(func_def_155, type, sK87: !>[X0: $tType]:((X0 > X0 > X0))).
% 8.97/1.67 thf(func_def_156, type, sK88: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 8.97/1.67 thf(func_def_157, type, sK89: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 8.97/1.67 thf(func_def_158, type, sK90: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_159, type, sK91: !>[X0: $tType]:(((X0 > $o) > X0))).
% 8.97/1.67 thf(func_def_160, type, sK92: !>[X0: $tType]:((X0 > X0 > X0))).
% 8.97/1.67 thf(func_def_161, type, sK93: !>[X0: $tType]:((X0 > X0))).
% 8.97/1.67 thf(func_def_162, type, sK94: !>[X0: $tType]:((X0 > X0))).
% 8.97/1.67 thf(func_def_163, type, sK95: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.67 thf(func_def_164, type, sK96: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.67 thf(func_def_165, type, sK97: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.67 thf(func_def_166, type, sK98: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.67 thf(func_def_167, type, sK99: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.67 thf(func_def_168, type, sK100: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.67 thf(func_def_169, type, sK101: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.67 thf(func_def_170, type, sK102: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.67 thf(func_def_171, type, sK103: !>[X0: $tType]:(((X0 > X0 > $o) > tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_172, type, sK104: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > tree @ X1 > tree @ X0 > (X0 > X1 > $o) > X0))).
% 8.97/1.67 thf(func_def_173, type, sK105: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > tree @ X1 > tree @ X0 > (X0 > X1 > $o) > X1))).
% 8.97/1.67 thf(func_def_174, type, sK106: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > tree @ X1 > tree @ X0 > X0))).
% 8.97/1.67 thf(func_def_175, type, sK107: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > tree @ X1 > tree @ X0 > X1))).
% 8.97/1.67 thf(func_def_176, type, sK108: !>[X0: $tType, X1: $tType]:(((tree @ X0 > tree @ X1 > $o) > (X0 > X1 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_177, type, sK109: !>[X0: $tType, X1: $tType]:(((tree @ X0 > tree @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 8.97/1.67 thf(func_def_178, type, sK110: !>[X0: $tType, X1: $tType]:(((tree @ X0 > tree @ X1 > $o) > (X0 > X1 > $o) > tree @ X0))).
% 8.97/1.67 thf(func_def_179, type, sK111: !>[X0: $tType, X1: $tType]:(((tree @ X0 > tree @ X1 > $o) > (X0 > X1 > $o) > tree @ X1))).
% 8.97/1.67 thf(func_def_180, type, sK112: !>[X0: $tType, X1: $tType]:(((tree @ X0 > tree @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 8.97/1.67 thf(func_def_181, type, sK113: !>[X0: $tType, X1: $tType]:(((tree @ X0 > tree @ X1 > $o) > (X0 > X1 > $o) > tree @ X1))).
% 8.97/1.67 thf(func_def_182, type, sK114: !>[X0: $tType, X1: $tType]:((tree @ X1 > tree @ X0 > (X1 > X0 > $o) > tree @ X1))).
% 8.97/1.67 thf(func_def_183, type, sK115: !>[X0: $tType, X1: $tType]:((tree @ X1 > tree @ X0 > (X1 > X0 > $o) > X1))).
% 8.97/1.67 thf(func_def_184, type, sK116: !>[X0: $tType, X1: $tType]:((tree @ X1 > tree @ X0 > (X1 > X0 > $o) > tree @ X1))).
% 8.97/1.67 thf(func_def_185, type, sK117: !>[X0: $tType, X1: $tType]:((tree @ X1 > tree @ X0 > (X1 > X0 > $o) > tree @ X0))).
% 8.97/1.68 thf(func_def_186, type, sK118: !>[X0: $tType, X1: $tType]:((tree @ X1 > tree @ X0 > (X1 > X0 > $o) > X0))).
% 8.97/1.68 thf(func_def_187, type, sK119: !>[X0: $tType, X1: $tType]:((tree @ X1 > tree @ X0 > (X1 > X0 > $o) > tree @ X0))).
% 8.97/1.68 thf(func_def_188, type, sK120: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 8.97/1.68 thf(func_def_189, type, sK121: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 8.97/1.68 thf(func_def_190, type, sK122: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 8.97/1.68 thf(func_def_191, type, sK123: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 8.97/1.68 thf(func_def_192, type, sK124: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.68 thf(func_def_193, type, sK125: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.68 thf(func_def_194, type, sK126: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.68 thf(func_def_195, type, sK127: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.68 thf(func_def_196, type, sK128: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.68 thf(func_def_197, type, sK129: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 8.97/1.68 thf(func_def_198, type, sK130: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.68 thf(func_def_199, type, sK131: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 8.97/1.68 thf(func_def_200, type, sK132: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 8.97/1.68 thf(func_def_201, type, sK133: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_202, type, sK134: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.68 thf(func_def_203, type, sK135: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_204, type, sK136: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.68 thf(func_def_205, type, sK137: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_206, type, sK138: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_207, type, sK139: !>[X0: $tType]:((X0 > X0))).
% 8.97/1.68 thf(func_def_208, type, sK140: !>[X0: $tType]:((X0 > X0))).
% 8.97/1.68 thf(func_def_209, type, sK141: !>[X0: $tType]:((X0 > X0))).
% 8.97/1.68 thf(func_def_210, type, sK142: !>[X0: $tType]:((X0 > X0))).
% 8.97/1.68 thf(func_def_211, type, sK143: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 8.97/1.68 thf(func_def_212, type, sK144: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 8.97/1.68 thf(func_def_213, type, sK145: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 8.97/1.68 thf(func_def_214, type, sK146: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 8.97/1.68 thf(func_def_215, type, sK147: !>[X0: $tType]:((tree @ X0 > X0 > X0))).
% 8.97/1.68 thf(func_def_216, type, sK148: !>[X0: $tType]:((tree @ X0 > X0 > X0))).
% 8.97/1.68 thf(func_def_217, type, sK149: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_218, type, sK150: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_219, type, sK151: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_220, type, sK152: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_221, type, sK153: !>[X0: $tType]:((tree @ X0 > X0 > X0))).
% 8.97/1.68 thf(func_def_222, type, sK154: !>[X0: $tType]:((tree @ X0 > X0 > X0))).
% 8.97/1.68 thf(func_def_223, type, sK155: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_224, type, sK156: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_225, type, sK157: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_226, type, sK158: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_227, type, sK159: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.68 thf(func_def_228, type, sK160: !>[X0: $tType]:((tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_229, type, sK161: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 8.97/1.68 thf(func_def_230, type, sK162: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 8.97/1.68 thf(func_def_231, type, sK163: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 8.97/1.68 thf(func_def_232, type, sK164: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_233, type, sK165: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_234, type, sK166: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_235, type, sK167: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_236, type, sK168: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_237, type, sK169: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_238, type, sK170: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_239, type, sK171: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_240, type, sK172: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_241, type, sK173: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0 > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_242, type, sK174: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0 > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_243, type, sK175: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0 > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_244, type, sK176: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(func_def_245, type, sK177: !>[X0: $tType]:(((X0 > $o) > tree @ X0 > X0))).
% 8.97/1.68 thf(f1,axiom,(
% 8.97/1.68 (member @ a @ a2 @ (set_tree @ a @ t))),
% 8.97/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I2_J)).
% 8.97/1.68 thf(f4,axiom,(
% 8.97/1.68 ! [X0 : $tType,X1 : X0,X2 : tree @ X0] : ((member @ X0 @ X1 @ (set_tree @ X0 @ X2)) => ? [X3 : tree @ X0,X4 : tree @ X0] : (member @ tree @ X0 @ (node @ X0 @ X3 @ X1 @ X4) @ (subtrees @ X0 @ X2)))),
% 8.97/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_set__treeE)).
% 8.97/1.68 thf(f307,axiom,(
% 8.97/1.68 ! [X0 : tree @ a,X1 : tree @ a] : ((member @ tree @ a @ (node @ a @ X0 @ a2 @ X1) @ (subtrees @ a @ t)) => thesis)),
% 8.97/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 8.97/1.68 thf(f308,conjecture,(
% 8.97/1.68 thesis),
% 8.97/1.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 8.97/1.68 thf(f309,negated_conjecture,(
% 8.97/1.68 ~thesis),
% 8.97/1.68 inference(negated_conjecture,[status(cth)],[f308])).
% 8.97/1.68 thf(f310,plain,(
% 8.97/1.68 (member @ a @ a2 @ (set_tree @ a @ t))),
% 8.97/1.68 inference(rectify,[],[f1])).
% 8.97/1.68 thf(f311,plain,(
% 8.97/1.68 (((member @ a @ a2 @ (set_tree @ a @ t))) = $true)),
% 8.97/1.68 inference(fool_elimination,[],[f310])).
% 8.97/1.68 thf(f315,plain,(
% 8.97/1.68 ! [X0 : $tType,X1 : X0,X2 : tree @ X0] : ((member @ X0 @ X1 @ (set_tree @ X0 @ X2)) => ? [X3 : tree @ X0,X4 : tree @ X0] : (member @ tree @ X0 @ (node @ X0 @ X3 @ X1 @ X4) @ (subtrees @ X0 @ X2)))),
% 8.97/1.68 inference(rectify,[],[f4])).
% 8.97/1.68 thf(f316,plain,(
% 8.97/1.68 ! [X0 : $tType,X1 : X0,X2 : tree @ X0] : ((((member @ X0 @ X1 @ (set_tree @ X0 @ X2))) = $true) => ? [X3 : tree @ X0,X4 : tree @ X0] : (((member @ tree @ X0 @ (node @ X0 @ X3 @ X1 @ X4) @ (subtrees @ X0 @ X2))) = $true))),
% 8.97/1.68 inference(fool_elimination,[],[f315])).
% 8.97/1.68 thf(f874,plain,(
% 8.97/1.68 ! [X0 : tree @ a,X1 : tree @ a] : ((member @ tree @ a @ (node @ a @ X0 @ a2 @ X1) @ (subtrees @ a @ t)) => thesis)),
% 8.97/1.68 inference(rectify,[],[f307])).
% 8.97/1.68 thf(f875,plain,(
% 8.97/1.68 ! [X0 : tree @ a,X1 : tree @ a] : ((((member @ tree @ a @ (node @ a @ X0 @ a2 @ X1) @ (subtrees @ a @ t))) = $true) => (thesis = $true))),
% 8.97/1.68 inference(fool_elimination,[],[f874])).
% 8.97/1.68 thf(f876,plain,(
% 8.97/1.68 ~thesis),
% 8.97/1.68 inference(rectify,[],[f309])).
% 8.97/1.68 thf(f877,plain,(
% 8.97/1.68 ~ (thesis = $true)),
% 8.97/1.68 inference(fool_elimination,[],[f876])).
% 8.97/1.68 thf(f915,plain,(
% 8.97/1.68 (thesis != $true)),
% 8.97/1.68 inference(flattening,[],[f877])).
% 8.97/1.68 thf(f916,plain,(
% 8.97/1.68 ! [X0 : $tType,X1 : X0,X2 : tree @ X0] : (? [X3 : tree @ X0,X4 : tree @ X0] : (((member @ tree @ X0 @ (node @ X0 @ X3 @ X1 @ X4) @ (subtrees @ X0 @ X2))) = $true) | (((member @ X0 @ X1 @ (set_tree @ X0 @ X2))) != $true))),
% 8.97/1.68 inference(ennf_transformation,[],[f316])).
% 8.97/1.68 thf(f1223,plain,(
% 8.97/1.68 ! [X0 : tree @ a,X1 : tree @ a] : ((thesis = $true) | (((member @ tree @ a @ (node @ a @ X0 @ a2 @ X1) @ (subtrees @ a @ t))) != $true))),
% 8.97/1.68 inference(ennf_transformation,[],[f875])).
% 8.97/1.68 thf(f1230,plain,(
% 8.97/1.68 ! [X0 : $tType,X1 : X0,X2 : tree @ X0] : (($true = ((member @ tree @ X0 @ (node @ X0 @ (sK4 @ X0 @ X2 @ X1) @ X1 @ (sK5 @ X0 @ X2 @ X1)) @ (subtrees @ X0 @ X2)))) | (((member @ X0 @ X1 @ (set_tree @ X0 @ X2))) != $true))),
% 8.97/1.68 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X4,sK5 @ X0 @ X2 @ X1),skolemize(X4,sK5 @ X0 @ X2 @ X1)],[f916])).
% 8.97/1.68 thf(f1302,plain,(
% 8.97/1.68 (((member @ a @ a2 @ (set_tree @ a @ t))) = $true)),
% 8.97/1.68 inference(cnf_transformation,[],[f311])).
% 8.97/1.68 thf(f1305,plain,(
% 8.97/1.68 ( ! [X0 : $tType,X2 : tree @ X0,X1 : X0] : ((((member @ X0 @ X1 @ (set_tree @ X0 @ X2))) != $true) | ($true = ((member @ tree @ X0 @ (node @ X0 @ (sK4 @ X0 @ X2 @ X1) @ X1 @ (sK5 @ X0 @ X2 @ X1)) @ (subtrees @ X0 @ X2))))) )),
% 8.97/1.68 inference(cnf_transformation,[],[f1230])).
% 8.97/1.68 thf(f1714,plain,(
% 8.97/1.68 ( ! [X0 : tree @ a,X1 : tree @ a] : ((thesis = $true) | (((member @ tree @ a @ (node @ a @ X0 @ a2 @ X1) @ (subtrees @ a @ t))) != $true)) )),
% 8.97/1.68 inference(cnf_transformation,[],[f1223])).
% 8.97/1.68 thf(f1715,plain,(
% 8.97/1.68 (thesis != $true)),
% 8.97/1.68 inference(cnf_transformation,[],[f915])).
% 8.97/1.68 thf(f10057,plain,(
% 8.97/1.68 ( ! [X0 : tree @ a,X1 : tree @ a] : ((((member @ tree @ a @ (node @ a @ X0 @ a2 @ X1) @ (subtrees @ a @ t))) != $true)) )),
% 8.97/1.68 inference(forward_subsumption_resolution,[],[f1714,f1715])).
% 8.97/1.68 thf(f16769,plain,(
% 8.97/1.68 ($true != $true) | ($true = ((member @ tree @ a @ (node @ a @ (sK4 @ a @ t @ a2) @ a2 @ (sK5 @ a @ t @ a2)) @ (subtrees @ a @ t))))),
% 8.97/1.68 inference(constrained_superposition,[],[f1305,f1302])).
% 8.97/1.68 thf(f16786,plain,(
% 8.97/1.68 ($true = ((member @ tree @ a @ (node @ a @ (sK4 @ a @ t @ a2) @ a2 @ (sK5 @ a @ t @ a2)) @ (subtrees @ a @ t))))),
% 8.97/1.68 inference(trivial_inequality_removal,[],[f16769])).
% 8.97/1.68 thf(f16791,plain,(
% 8.97/1.68 $false),
% 8.97/1.68 inference(forward_subsumption_resolution,[],[f16786,f10057])).
% 8.97/1.68 % SZS output end Proof for theBenchmark
% 8.97/1.68 % (1624640)------------------------------
% 8.97/1.68 % (1624640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.68 % (1624640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.68 % (1624640)CaDiCaL version: 2.1.3
% 8.97/1.68 % (1624640)Termination reason: Refutation
% 8.97/1.68 % (1624640)Time elapsed: 0.914 s
% 8.97/1.68 % (1624640)Peak memory usage: 22 MB
% 8.97/1.68 % (1624640)Instructions burned: 1893 (million)
% 8.97/1.68 % (1624595)Success in time 1.463 s
% 8.97/1.68 % Vampire exiting
%------------------------------------------------------------------------------