%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT004-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 : Tue Sep 29 09:36:52 AM UTC 2026
% Result : Unsatisfiable 1.04s 0.45s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% Number of atoms : 103 ( 102 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 119 ( 60 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( codomain(X0) != domain(X1)
| domain(compose(X0,X1)) = domain(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain1) ).
fof(f8,plain,
! [X0,X1] :
( codomain(X0) != domain(X1)
| domain(X0) = domain(compose(X0,X1)) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0,X1] :
( codomain(X0) != domain(X1)
| codomain(compose(X0,X1)) = codomain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain2) ).
fof(f10,axiom,
! [X2,X0,X1] :
( codomain(X1) != domain(X2)
| codomain(X0) != domain(X1)
| compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',star_property) ).
fof(f11,axiom,
! [X2,X0,X1] :
( codomain(a) != domain(X0)
| compose(a,X0) != X1
| codomain(a) != domain(X2)
| compose(a,X2) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epimorphism1) ).
fof(f12,plain,
! [X2,X0,X1] :
( domain(X0) != codomain(a)
| compose(a,X0) != X1
| domain(X2) != codomain(a)
| compose(a,X2) != X1
| X0 = X2 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( codomain(b) != domain(X0)
| compose(b,X0) != X1
| codomain(b) != domain(X2)
| compose(b,X2) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epimorphism2) ).
fof(f14,plain,
! [X2,X0,X1] :
( domain(X0) != codomain(b)
| compose(b,X0) != X1
| domain(X2) != codomain(b)
| compose(b,X2) != X1
| X0 = X2 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
codomain(a) = domain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_a_equals_domain_of_b) ).
fof(f16,axiom,
codomain(compose(a,b)) = domain(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_ab_equals_domain_of_h) ).
fof(f17,axiom,
codomain(compose(a,b)) = domain(g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_ab_equals_domain_of_g) ).
fof(f18,axiom,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
fof(f19,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f20,plain,
! [X2,X0] :
( domain(X0) != codomain(a)
| domain(X2) != codomain(a)
| compose(a,X0) != compose(a,X2)
| X0 = X2 ),
inference(equality_resolution,[],[f12]) ).
fof(f21,plain,
! [X2,X0] :
( compose(b,X0) != compose(b,X2)
| domain(X2) != codomain(b)
| domain(X0) != codomain(b)
| X0 = X2 ),
inference(equality_resolution,[],[f14]) ).
fof(f32,plain,
domain(h) = domain(g),
inference(forward_demodulation,[],[f17,f16]) ).
fof(f43,plain,
! [X0] :
( domain(X0) != domain(b)
| codomain(X0) = codomain(compose(a,X0)) ),
inference(superposition,[],[f9,f15]) ).
fof(f70,plain,
! [X2,X0] :
( domain(X0) != domain(b)
| domain(X2) != codomain(a)
| compose(a,X0) != compose(a,X2)
| X0 = X2 ),
inference(forward_demodulation,[],[f20,f15]) ).
fof(f71,plain,
! [X2,X0] :
( compose(a,X0) != compose(a,X2)
| domain(X0) != domain(b)
| domain(X2) != domain(b)
| X0 = X2 ),
inference(forward_demodulation,[],[f70,f15]) ).
fof(f137,plain,
codomain(b) = codomain(compose(a,b)),
inference(equality_resolution,[],[f43]) ).
fof(f139,plain,
codomain(b) = domain(h),
inference(forward_demodulation,[],[f137,f16]) ).
fof(f146,plain,
! [X0] :
( domain(X0) != domain(h)
| domain(b) = domain(compose(b,X0)) ),
inference(superposition,[],[f8,f139]) ).
fof(f148,plain,
! [X0,X1] :
( codomain(X1) != domain(b)
| domain(X0) != domain(h)
| compose(X1,compose(b,X0)) = compose(compose(X1,b),X0) ),
inference(superposition,[],[f10,f139]) ).
fof(f587,plain,
( domain(h) != domain(h)
| domain(b) = domain(compose(b,g)) ),
inference(superposition,[],[f146,f32]) ).
fof(f588,plain,
domain(b) = domain(compose(b,h)),
inference(equality_resolution,[],[f146]) ).
fof(f589,plain,
domain(b) = domain(compose(b,g)),
inference(trivial_inequality_removal,[],[f587]) ).
fof(f2394,plain,
! [X0] :
( domain(b) != domain(b)
| domain(X0) != domain(h)
| compose(compose(a,b),X0) = compose(a,compose(b,X0)) ),
inference(superposition,[],[f148,f15]) ).
fof(f2397,plain,
! [X0] :
( domain(X0) != domain(h)
| compose(compose(a,b),X0) = compose(a,compose(b,X0)) ),
inference(trivial_inequality_removal,[],[f2394]) ).
fof(f3264,plain,
( domain(h) != domain(h)
| compose(compose(a,b),g) = compose(a,compose(b,g)) ),
inference(superposition,[],[f2397,f32]) ).
fof(f3265,plain,
compose(compose(a,b),h) = compose(a,compose(b,h)),
inference(equality_resolution,[],[f2397]) ).
fof(f3266,plain,
compose(compose(a,b),g) = compose(a,compose(b,g)),
inference(trivial_inequality_removal,[],[f3264]) ).
fof(f3422,plain,
compose(compose(a,b),h) = compose(a,compose(b,g)),
inference(superposition,[],[f18,f3266]) ).
fof(f3424,plain,
compose(a,compose(b,h)) = compose(a,compose(b,g)),
inference(forward_demodulation,[],[f3422,f3265]) ).
fof(f3433,plain,
! [X0] :
( compose(a,X0) != compose(a,compose(b,h))
| domain(b) != domain(compose(b,g))
| domain(X0) != domain(b)
| compose(b,g) = X0 ),
inference(superposition,[],[f71,f3424]) ).
fof(f3434,plain,
! [X0] :
( compose(a,X0) != compose(a,compose(b,h))
| domain(X0) != domain(b)
| compose(b,g) = X0 ),
inference(forward_subsumption_resolution,[],[f3433,f589]) ).
fof(f6510,plain,
( domain(b) != domain(compose(b,h))
| compose(b,g) = compose(b,h) ),
inference(equality_resolution,[],[f3434]) ).
fof(f6511,plain,
compose(b,g) = compose(b,h),
inference(forward_subsumption_resolution,[],[f6510,f588]) ).
fof(f6525,plain,
! [X0] :
( compose(b,X0) != compose(b,h)
| codomain(b) != domain(g)
| domain(X0) != codomain(b)
| g = X0 ),
inference(superposition,[],[f21,f6511]) ).
fof(f6537,plain,
! [X0] :
( codomain(b) != domain(h)
| compose(b,X0) != compose(b,h)
| domain(X0) != codomain(b)
| g = X0 ),
inference(forward_demodulation,[],[f6525,f32]) ).
fof(f6554,plain,
! [X0] :
( compose(b,X0) != compose(b,h)
| domain(X0) != codomain(b)
| g = X0 ),
inference(forward_subsumption_resolution,[],[f6537,f139]) ).
fof(f6557,plain,
! [X0] :
( compose(b,X0) != compose(b,h)
| domain(X0) != domain(h)
| g = X0 ),
inference(forward_demodulation,[],[f6554,f139]) ).
fof(f6660,plain,
( domain(h) != domain(h)
| h = g ),
inference(equality_resolution,[],[f6557]) ).
fof(f6661,plain,
h = g,
inference(trivial_inequality_removal,[],[f6660]) ).
fof(f6662,plain,
$false,
inference(forward_subsumption_resolution,[],[f6661,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT004-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n003.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 21:14:42 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 1.04/0.45 % (2026835)Will run a generic schedule for satisfiability detection.
% 1.04/0.45 % (2026843)dis+10_1_sil=32000:sp=arity:random_seed=2754718600:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.04/0.45 % (2026841)% WARNING: option uhcvi not known.
% 1.04/0.45 % (2026841)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1378659174:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.04/0.45 % (2026840)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4168051033_2999 on theBenchmark for (2999ds/0Mi)
% 1.04/0.45 % (2026842)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1462168230:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.04/0.45 % (2026844)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1506337607:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.04/0.45 % TRYING [1]
% 1.04/0.45 % TRYING [2]
% 1.04/0.45 % TRYING [3]
% 1.04/0.45 % TRYING [4]
% 1.04/0.45 % (2026846)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2487227754:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.04/0.45 % (2026845)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1238724618:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.04/0.45 % (2026843)Instruction limit reached!
% 1.04/0.45 % (2026843)------------------------------
% 1.04/0.45 % (2026843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (2026843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (2026843)CaDiCaL version: 2.1.3
% 1.04/0.45 % (2026843)Termination reason: Instruction limit
% 1.04/0.45 % (2026843)Termination phase: Saturation
% 1.04/0.45 % (2026843)Time elapsed: 0.029 s
% 1.04/0.45 % (2026843)Peak memory usage: 12 MB
% 1.04/0.45 % (2026843)Instructions burned: 104 (million)
% 1.04/0.45 % TRYING [5]
% 1.04/0.45 % (2026854)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1505891291:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.04/0.45 % TRYING [1]
% 1.04/0.45 % TRYING [2]
% 1.04/0.45 % TRYING [3]
% 1.04/0.45 % TRYING [4]
% 1.04/0.45 % TRYING [5]
% 1.04/0.45 % (2026844)Instruction limit reached!
% 1.04/0.45 % (2026844)------------------------------
% 1.04/0.45 % (2026844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (2026844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (2026844)CaDiCaL version: 2.1.3
% 1.04/0.45 % (2026844)Termination reason: Instruction limit
% 1.04/0.45 % (2026844)Termination phase: Saturation
% 1.04/0.45 % (2026844)Time elapsed: 0.064 s
% 1.04/0.45 % (2026844)Peak memory usage: 12 MB
% 1.04/0.45 % (2026844)Instructions burned: 116 (million)
% 1.04/0.45 % (2026856)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1530098434:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.04/0.45 % TRYING [6]
% 1.04/0.45 % (2026845)Instruction limit reached!
% 1.04/0.45 % (2026845)------------------------------
% 1.04/0.45 % (2026845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (2026845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (2026845)CaDiCaL version: 2.1.3
% 1.04/0.45 % (2026845)Termination reason: Instruction limit
% 1.04/0.45 % (2026845)Termination phase: Saturation
% 1.04/0.45 % (2026845)Time elapsed: 0.086 s
% 1.04/0.45 % (2026845)Peak memory usage: 12 MB
% 1.04/0.45 % (2026845)Instructions burned: 131 (million)
% 1.04/0.45 % TRYING [6]
% 1.04/0.45 % (2026846)Instruction limit reached!
% 1.04/0.45 % (2026846)------------------------------
% 1.04/0.45 % (2026846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (2026846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (2026846)CaDiCaL version: 2.1.3
% 1.04/0.45 % (2026846)Termination reason: Instruction limit
% 1.04/0.45 % (2026846)Termination phase: Saturation
% 1.04/0.45 % (2026846)Time elapsed: 0.098 s
% 1.04/0.45 % (2026846)Peak memory usage: 14 MB
% 1.04/0.45 % (2026846)Instructions burned: 160 (million)
% 1.04/0.45 % (2026859)ott-21_1_sil=16000:fs=off:random_seed=1385682096:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.04/0.45 % (2026858)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=3950787866:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.04/0.45 % (2026856)Instruction limit reached!
% 1.04/0.45 % (2026856)------------------------------
% 1.04/0.45 % (2026856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (2026856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (2026856)CaDiCaL version: 2.1.3
% 1.04/0.45 % (2026856)Termination reason: Instruction limit
% 1.04/0.45 % (2026856)Termination phase: Saturation
% 1.04/0.45 % (2026856)Time elapsed: 0.083 s
% 1.04/0.45 % (2026856)Peak memory usage: 12 MB
% 1.04/0.45 % (2026856)Instructions burned: 132 (million)
% 1.04/0.45 % (2026862)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2824466401:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.04/0.45 % (2026841) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2026835-2026841"...
% 1.04/0.45 % (2026841)...printing done.
% 1.04/0.45 % (2026841)Refutation found. Thanks to Tanya!
% 1.04/0.45 % SZS status Unsatisfiable for theBenchmark
% 1.04/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.45 % (2026841)------------------------------
% 1.04/0.45 % (2026841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (2026841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (2026841)CaDiCaL version: 2.1.3
% 1.04/0.45 % (2026841)Termination reason: Refutation
% 1.04/0.45 % (2026841)Time elapsed: 0.196 s
% 1.04/0.45 % (2026841)Peak memory usage: 14 MB
% 1.04/0.45 % (2026841)Instructions burned: 350 (million)
% 1.04/0.45 % (2026835)Success in time 0.238 s
% 1.04/0.45 % Vampire exiting
%------------------------------------------------------------------------------