%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT001-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:36:32 AM UTC 2026
% Result : Unsatisfiable 0.26s 1.71s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).
fof(f13,axiom,
! [X2,X0,X1] :
( compose(compose(a,b),X0) != X1
| compose(compose(a,b),X2) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monomorphism) ).
fof(f15,axiom,
compose(b,h) = compose(b,g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bh_equals_bg) ).
fof(f16,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f17,plain,
! [X2,X0] :
( compose(compose(a,b),X0) != compose(compose(a,b),X2)
| X0 = X2 ),
inference(equality_resolution,[],[f13]) ).
fof(f18,plain,
! [X2,X0] :
( compose(compose(a,b),X0) != compose(a,compose(b,X2))
| X0 = X2 ),
inference(forward_demodulation,[],[f17,f9]) ).
fof(f19,plain,
! [X2,X0] :
( compose(a,compose(b,X2)) != compose(a,compose(b,X0))
| X0 = X2 ),
inference(forward_demodulation,[],[f18,f9]) ).
fof(f26,plain,
! [X0] :
( compose(a,compose(b,X0)) != compose(a,compose(b,h))
| g = X0 ),
inference(superposition,[],[f19,f15]) ).
fof(f35,plain,
h = g,
inference(equality_resolution,[],[f26]) ).
fof(f36,plain,
$false,
inference(forward_subsumption_resolution,[],[f35,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT001-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 % Computer : n010.cluster.edu
% 0.12/0.22 % Model : x86_64 x86_64
% 0.12/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.22 % Memory : 8046.5625MB
% 0.12/0.22 % OS : Linux 6.8.0-71-generic
% 0.12/0.22 % CPULimit : 300
% 0.12/0.22 % WCLimit : 300
% 0.12/0.22 % DateTime : Mon Sep 28 21:11:47 UTC 2026
% 0.12/0.22 % CPUTime :
% 0.12/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.27 Running first-order theorem proving
% 0.12/0.27 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/1.71 % (2342785)Input is clausal, will run a generic CNF schedule.
% 0.26/1.71 % (2342790)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2714799134:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.26/1.71 % (2342796)dis-21_1_sil=8000:lcm=predicate:random_seed=3749812434:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.26/1.71 % (2342791)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2087019816:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.26/1.71 % (2342794)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=909552470:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.26/1.71 % (2342792)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=673413611:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.26/1.71 % (2342793)lrs+10_1_sil=8000:sp=occurrence:random_seed=2897374604:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.26/1.71 % (2342796)Instruction limit reached!
% 0.26/1.71 % (2342796)------------------------------
% 0.26/1.71 % (2342796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/1.71 % (2342796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/1.71 % (2342796)CaDiCaL version: 2.1.3
% 0.26/1.71 % (2342796)Termination reason: Instruction limit
% 0.26/1.71 % (2342796)Termination phase: Saturation
% 0.26/1.71 % (2342796)Time elapsed: 0.079 s
% 0.26/1.71 % (2342796)Peak memory usage: 88 MB
% 0.26/1.71 % (2342796)Instructions burned: 117 (million)
% 0.26/1.71 % (2342793)First to succeed.
% 0.26/1.71 % (2342794)Also succeeded, but the first one will report.
% 0.26/1.71 % (2342793)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2342785"
% 0.26/1.71 % (2342795)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3828769872:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.26/1.71 % (2342795)Also succeeded, but the first one will report.
% 0.26/1.71 % (2342803)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2891111454:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.26/1.71 % (2342803)Also succeeded, but the first one will report.
% 0.26/1.71 % (2342793)Refutation found. Thanks to Tanya!
% 0.26/1.71 % SZS status Unsatisfiable for theBenchmark
% 0.26/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/1.71 % (2342793)------------------------------
% 0.26/1.71 % (2342793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/1.71 % (2342793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/1.71 % (2342793)CaDiCaL version: 2.1.3
% 0.26/1.71 % (2342793)Termination reason: Refutation
% 0.26/1.71 % (2342793)Time elapsed: 0.003 s
% 0.26/1.71 % (2342793)Peak memory usage: 88 MB
% 0.26/1.71 % (2342793)Instructions burned: 1 (million)
% 0.26/1.71 % (2342793)------------------------------
% 0.26/1.71 % (2342793)------------------------------
% 0.26/1.71 % (2342785)Success in time 0.687 s
% 0.26/1.71 % Vampire exiting
%------------------------------------------------------------------------------