%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP003-1 : 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 10:12:05 AM UTC 2026
% Result : Unsatisfiable 2.60s 1.06s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 31 ( 19 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f2,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X4,X5)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
fof(f5,negated_conjecture,
~ product(a,identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ product(X2,X1,a)
| ~ product(X0,identity,X1)
| ~ product(X2,X0,a) ),
inference(resolution,[],[f4,f5]) ).
fof(f18,plain,
! [X0,X1] :
( ~ product(X1,identity,X1)
| ~ product(X0,X1,a) ),
inference(factoring,[],[f11]) ).
fof(f26,plain,
! [X0] : ~ product(X0,identity,a),
inference(resolution,[],[f18,f2]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,a)
| ~ product(X0,X1,identity)
| ~ product(X3,X0,X2) ),
inference(resolution,[],[f26,f3]) ).
fof(f108,plain,
! [X0,X1] :
( ~ product(X0,a,identity)
| ~ product(X1,X0,identity) ),
inference(resolution,[],[f30,f2]) ).
fof(f117,plain,
! [X0] : ~ product(X0,inverse(a),identity),
inference(resolution,[],[f108,f1]) ).
fof(f123,plain,
$false,
inference(resolution,[],[f117,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:16:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.60/1.06 % (1380757)Input is clausal, will run a generic CNF schedule.
% 2.60/1.06 % (1380767)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2673279472:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.60/1.06 % (1380762)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=1918371236:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.60/1.06 % (1380766)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3114005972:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.60/1.06 % (1380765)lrs+10_1_sil=8000:sp=occurrence:random_seed=1367938639:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.60/1.06 % (1380763)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2813737540:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.60/1.06 % (1380764)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=634040352:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.60/1.06 % (1380768)dis-21_1_sil=8000:lcm=predicate:random_seed=355958311: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)
% 2.60/1.06 % (1380767)First to succeed.
% 2.60/1.06 % (1380767)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1380757"
% 2.60/1.06 % (1380765)Also succeeded, but the first one will report.
% 2.60/1.06 % (1380766)Instruction limit reached!
% 2.60/1.06 % (1380766)------------------------------
% 2.60/1.06 % (1380766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.06 % (1380766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.06 % (1380766)CaDiCaL version: 2.1.3
% 2.60/1.06 % (1380766)Termination reason: Instruction limit
% 2.60/1.06 % (1380766)Termination phase: Saturation
% 2.60/1.06 % (1380766)Time elapsed: 0.063 s
% 2.60/1.06 % (1380766)Peak memory usage: 88 MB
% 2.60/1.06 % (1380766)Instructions burned: 115 (million)
% 2.60/1.06 % (1380768)Instruction limit reached!
% 2.60/1.06 % (1380768)------------------------------
% 2.60/1.06 % (1380768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.06 % (1380768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.06 % (1380768)CaDiCaL version: 2.1.3
% 2.60/1.06 % (1380768)Termination reason: Instruction limit
% 2.60/1.06 % (1380768)Termination phase: Saturation
% 2.60/1.06 % (1380768)Time elapsed: 0.065 s
% 2.60/1.06 % (1380768)Peak memory usage: 88 MB
% 2.60/1.06 % (1380768)Instructions burned: 118 (million)
% 2.60/1.06 % (1380767)Refutation found. Thanks to Tanya!
% 2.60/1.06 % SZS status Unsatisfiable for theBenchmark
% 2.60/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.06 % (1380767)------------------------------
% 2.60/1.06 % (1380767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.06 % (1380767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.06 % (1380767)CaDiCaL version: 2.1.3
% 2.60/1.06 % (1380767)Termination reason: Refutation
% 2.60/1.06 % (1380767)Time elapsed: 0.004 s
% 2.60/1.06 % (1380767)Peak memory usage: 88 MB
% 2.60/1.06 % (1380767)Instructions burned: 8 (million)
% 2.60/1.06 % (1380767)------------------------------
% 2.60/1.06 % (1380767)------------------------------
% 2.60/1.06 % (1380757)Success in time 0.317 s
% 2.60/1.06 % Vampire exiting
%------------------------------------------------------------------------------