%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT003-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:36:33 AM UTC 2026
% Result : Unsatisfiable 0.21s 1.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_compose) ).
fof(f21,axiom,
! [X2,X0,X1] :
( compose(X0,compose(a,b)) != X1
| compose(X2,compose(a,b)) != X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epimorphism) ).
fof(f23,axiom,
compose(h,a) = compose(g,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ha_equals_ga) ).
fof(f24,negated_conjecture,
g != h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_equals_h) ).
fof(f25,plain,
h != g,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
! [X2,X0] :
( compose(X0,compose(a,b)) != compose(X2,compose(a,b))
| X0 = X2 ),
inference(equality_resolution,[],[f21]) ).
fof(f27,plain,
! [X0] : compose(g,compose(a,X0)) = compose(compose(h,a),X0),
inference(superposition,[],[f9,f23]) ).
fof(f30,plain,
! [X0] : compose(g,compose(a,X0)) = compose(h,compose(a,X0)),
inference(forward_demodulation,[],[f27,f9]) ).
fof(f36,plain,
! [X0] :
( compose(X0,compose(a,b)) != compose(h,compose(a,b))
| g = X0 ),
inference(superposition,[],[f26,f30]) ).
fof(f48,plain,
h = g,
inference(equality_resolution,[],[f36]) ).
fof(f49,plain,
$false,
inference(forward_subsumption_resolution,[],[f48,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT003-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.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 : Mon Sep 28 21:16:17 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/1.30 % (3027107)Input is clausal, will run a generic CNF schedule.
% 0.21/1.30 % (3027112)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=2049239265:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/1.30 % (3027113)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3803229461:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/1.30 % (3027115)lrs+10_1_sil=8000:sp=occurrence:random_seed=3723952606:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/1.30 % (3027116)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=150011645:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/1.30 % (3027117)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1522364304:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/1.30 % (3027118)dis-21_1_sil=8000:lcm=predicate:random_seed=2338344694: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)
% 0.21/1.30 % (3027114)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3994544918:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/1.30 % (3027115)First to succeed.
% 0.21/1.30 % (3027115)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3027107"
% 0.21/1.30 % (3027116)Also succeeded, but the first one will report.
% 0.21/1.30 % (3027117)Also succeeded, but the first one will report.
% 0.21/1.30 % (3027118)Instruction limit reached!
% 0.21/1.30 % (3027118)------------------------------
% 0.21/1.30 % (3027118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (3027118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (3027118)CaDiCaL version: 2.1.3
% 0.21/1.30 % (3027118)Termination reason: Instruction limit
% 0.21/1.30 % (3027118)Termination phase: Saturation
% 0.21/1.30 % (3027118)Time elapsed: 0.063 s
% 0.21/1.30 % (3027118)Peak memory usage: 90 MB
% 0.21/1.30 % (3027118)Instructions burned: 117 (million)
% 0.21/1.30 % (3027126)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=3871917167:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.21/1.30 % (3027126)Also succeeded, but the first one will report.
% 0.21/1.30 % (3027115)Refutation found. Thanks to Tanya!
% 0.21/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.21/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.30 % (3027115)------------------------------
% 0.21/1.30 % (3027115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (3027115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (3027115)CaDiCaL version: 2.1.3
% 0.21/1.30 % (3027115)Termination reason: Refutation
% 0.21/1.30 % (3027115)Time elapsed: 0.002 s
% 0.21/1.30 % (3027115)Peak memory usage: 88 MB
% 0.21/1.30 % (3027115)Instructions burned: 1 (million)
% 0.21/1.30 % (3027115)------------------------------
% 0.21/1.30 % (3027115)------------------------------
% 0.21/1.30 % (3027107)Success in time 0.44 s
% 0.21/1.30 % Vampire exiting
%------------------------------------------------------------------------------