%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT002-4 : 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 09:36:51 AM UTC 2026
% Result : Unsatisfiable 1.16s 0.38s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
fof(f13,axiom,
! [X2,X0,X1] :
( compose(a,X0) != X1
| compose(a,X2) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose1) ).
fof(f14,axiom,
! [X2,X0,X1] :
( compose(b,X0) != X1
| compose(b,X2) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose2) ).
fof(f16,axiom,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
fof(f17,negated_conjecture,
g != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).
fof(f18,plain,
h != g,
inference(reorient_equations,[],[f17]) ).
fof(f20,plain,
! [X2,X0] :
( compose(a,X0) != compose(a,X2)
| X0 = X2 ),
inference(equality_resolution,[],[f13]) ).
fof(f21,plain,
! [X2,X0] :
( compose(b,X0) != compose(b,X2)
| X0 = X2 ),
inference(equality_resolution,[],[f14]) ).
fof(f28,plain,
compose(compose(a,b),h) = compose(a,compose(b,g)),
inference(superposition,[],[f16,f9]) ).
fof(f29,plain,
compose(a,compose(b,g)) = compose(a,compose(b,h)),
inference(forward_demodulation,[],[f28,f9]) ).
fof(f37,plain,
! [X0] :
( compose(a,X0) != compose(a,compose(b,h))
| compose(b,g) = X0 ),
inference(superposition,[],[f20,f29]) ).
fof(f43,plain,
compose(b,g) = compose(b,h),
inference(equality_resolution,[],[f37]) ).
fof(f62,plain,
! [X0] :
( compose(b,X0) != compose(b,h)
| g = X0 ),
inference(superposition,[],[f21,f43]) ).
fof(f3362,plain,
h = g,
inference(equality_resolution,[],[f62]) ).
fof(f3363,plain,
$false,
inference(forward_subsumption_resolution,[],[f3362,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT002-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16 % Computer : n003.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 21:14:29 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 Running first-order model finding
% 0.08/0.19 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
% 1.16/0.38 % (2026270)Will run a generic schedule for satisfiability detection.
% 1.16/0.38 % (2026277)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2736593772:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.16/0.38 % (2026276)% WARNING: option uhcvi not known.
% 1.16/0.38 % (2026275)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1177578222_2999 on theBenchmark for (2999ds/0Mi)
% 1.16/0.38 % (2026276)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2881019733:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.16/0.38 % (2026278)dis+10_1_sil=32000:sp=arity:random_seed=4263317961:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.16/0.38 % (2026279)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1062251045:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.16/0.38 % (2026280)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=43151108:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.16/0.38 % (2026281)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2239925220:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.16/0.38 % TRYING [1]
% 1.16/0.38 % TRYING [2]
% 1.16/0.38 % TRYING [3]
% 1.16/0.38 % TRYING [4]
% 1.16/0.38 % TRYING [5]
% 1.16/0.38 % (2026278)Instruction limit reached!
% 1.16/0.38 % (2026278)------------------------------
% 1.16/0.38 % (2026278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.38 % (2026278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.38 % (2026278)CaDiCaL version: 2.1.3
% 1.16/0.38 % (2026278)Termination reason: Instruction limit
% 1.16/0.38 % (2026278)Termination phase: Saturation
% 1.16/0.38 % (2026278)Time elapsed: 0.059 s
% 1.16/0.38 % (2026278)Peak memory usage: 12 MB
% 1.16/0.38 % (2026278)Instructions burned: 104 (million)
% 1.16/0.38 % (2026279)Instruction limit reached!
% 1.16/0.38 % (2026279)------------------------------
% 1.16/0.38 % (2026279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.38 % (2026279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.38 % (2026279)CaDiCaL version: 2.1.3
% 1.16/0.38 % (2026279)Termination reason: Instruction limit
% 1.16/0.38 % (2026279)Termination phase: Saturation
% 1.16/0.38 % (2026279)Time elapsed: 0.068 s
% 1.16/0.38 % (2026279)Peak memory usage: 12 MB
% 1.16/0.38 % (2026279)Instructions burned: 116 (million)
% 1.16/0.38 % (2026280)Instruction limit reached!
% 1.16/0.38 % (2026280)------------------------------
% 1.16/0.38 % (2026280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.38 % (2026280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.38 % (2026280)CaDiCaL version: 2.1.3
% 1.16/0.38 % (2026280)Termination reason: Instruction limit
% 1.16/0.38 % (2026280)Termination phase: Saturation
% 1.16/0.38 % (2026280)Time elapsed: 0.074 s
% 1.16/0.38 % (2026280)Peak memory usage: 12 MB
% 1.16/0.38 % (2026280)Instructions burned: 131 (million)
% 1.16/0.38 % (2026289)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2638787901:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.16/0.38 % TRYING [1]
% 1.16/0.38 % TRYING [2]
% 1.16/0.38 % TRYING [3]
% 1.16/0.38 % TRYING [4]
% 1.16/0.38 % TRYING [6]
% 1.16/0.38 % (2026290)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2285429543:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.16/0.38 % (2026291)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=3081882254:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.16/0.38 % (2026281)Instruction limit reached!
% 1.16/0.38 % (2026281)------------------------------
% 1.16/0.38 % (2026281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.38 % (2026281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.38 % (2026281)CaDiCaL version: 2.1.3
% 1.16/0.38 % (2026281)Termination reason: Instruction limit
% 1.16/0.38 % (2026281)Termination phase: Saturation
% 1.16/0.38 % (2026281)Time elapsed: 0.095 s
% 1.16/0.38 % (2026281)Peak memory usage: 13 MB
% 1.16/0.38 % (2026281)Instructions burned: 160 (million)
% 1.16/0.38 % TRYING [5]
% 1.16/0.38 % (2026295)ott-21_1_sil=16000:fs=off:random_seed=1531503402:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.16/0.38 % (2026291) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2026270-2026291"...
% 1.16/0.38 % (2026291)...printing done.
% 1.16/0.38 % (2026291)Refutation found. Thanks to Tanya!
% 1.16/0.38 % SZS status Unsatisfiable for theBenchmark
% 1.16/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 1.16/0.38 % (2026291)------------------------------
% 1.16/0.38 % (2026291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.38 % (2026291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.38 % (2026291)CaDiCaL version: 2.1.3
% 1.16/0.38 % (2026291)Termination reason: Refutation
% 1.16/0.38 % (2026291)Time elapsed: 0.052 s
% 1.16/0.38 % (2026291)Peak memory usage: 13 MB
% 1.16/0.38 % (2026291)Instructions burned: 101 (million)
% 1.16/0.38 % (2026270)Success in time 0.18 s
% 1.16/0.38 % Vampire exiting
%------------------------------------------------------------------------------