%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP012-1 : 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 : n016.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 10:12:06 AM UTC 2026
% Result : Unsatisfiable 3.72s 1.59s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f9,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_multiply_b_is_c) ).
fof(f10,axiom,
product(inverse(b),inverse(a),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_b_multiply_inverse_a_is_d) ).
fof(f11,negated_conjecture,
~ product(c,d,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_multiply_d_is_identity) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,inverse(X1),X2)
| ~ product(X3,X0,X1)
| product(X3,X2,identity) ),
inference(resolution,[],[f7,f4]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,identity,X3)
| ~ product(X0,X1,X2)
| product(X2,inverse(X1),X3) ),
inference(resolution,[],[f8,f4]) ).
fof(f56,plain,
! [X0] :
( ~ product(X0,inverse(b),a)
| product(X0,d,identity) ),
inference(resolution,[],[f13,f10]) ).
fof(f71,plain,
! [X2,X0,X1] :
( product(X2,inverse(X1),X0)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f347,plain,
! [X0] :
( ~ product(a,b,X0)
| product(X0,d,identity) ),
inference(resolution,[],[f71,f56]) ).
fof(f638,plain,
product(c,d,identity),
inference(resolution,[],[f347,f9]) ).
fof(f639,plain,
$false,
inference(forward_subsumption_resolution,[],[f638,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP012-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n016.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 09:18:31 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 3.72/1.59 % (2351827)Input is clausal, will run a generic CNF schedule.
% 3.72/1.59 % (2351931)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2416618517:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.72/1.59 % (2351929)lrs+10_1_sil=8000:sp=occurrence:random_seed=1179342745:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.72/1.59 % (2351930)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1646563444:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.72/1.59 % (2351932)dis-21_1_sil=8000:lcm=predicate:random_seed=2395509581: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)
% 3.72/1.59 % (2351925)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=576003161:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.72/1.59 % (2351926)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3496497714:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.72/1.59 % (2351929)First to succeed.
% 3.72/1.59 % (2351929)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2351827"
% 3.72/1.59 % (2351928)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2491443522:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.72/1.59 % (2351930)Also succeeded, but the first one will report.
% 3.72/1.59 % (2351931)Instruction limit reached!
% 3.72/1.59 % (2351931)------------------------------
% 3.72/1.59 % (2351931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.59 % (2351931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.59 % (2351931)CaDiCaL version: 2.1.3
% 3.72/1.59 % (2351931)Termination reason: Instruction limit
% 3.72/1.59 % (2351931)Termination phase: Saturation
% 3.72/1.59 % (2351931)Time elapsed: 0.063 s
% 3.72/1.59 % (2351931)Peak memory usage: 89 MB
% 3.72/1.59 % (2351931)Instructions burned: 182 (million)
% 3.72/1.59 % (2351932)Instruction limit reached!
% 3.72/1.59 % (2351932)------------------------------
% 3.72/1.59 % (2351932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.59 % (2351932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.59 % (2351932)CaDiCaL version: 2.1.3
% 3.72/1.59 % (2351932)Termination reason: Instruction limit
% 3.72/1.59 % (2351932)Termination phase: Saturation
% 3.72/1.59 % (2351932)Time elapsed: 0.068 s
% 3.72/1.59 % (2351932)Peak memory usage: 88 MB
% 3.72/1.59 % (2351932)Instructions burned: 118 (million)
% 3.72/1.59 % (2351998)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=3342390271:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.72/1.59 % (2351998)Instruction limit reached!
% 3.72/1.59 % (2351998)------------------------------
% 3.72/1.59 % (2351998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.59 % (2351998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.59 % (2351998)CaDiCaL version: 2.1.3
% 3.72/1.59 % (2351998)Termination reason: Instruction limit
% 3.72/1.59 % (2351998)Termination phase: Saturation
% 3.72/1.59 % (2351998)Time elapsed: 0.052 s
% 3.72/1.59 % (2351998)Peak memory usage: 89 MB
% 3.72/1.59 % (2351998)Instructions burned: 145 (million)
% 3.72/1.59 % (2351999)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=440130701:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.72/1.59 % (2351999)Also succeeded, but the first one will report.
% 3.72/1.59 % (2351929)Refutation found. Thanks to Tanya!
% 3.72/1.59 % SZS status Unsatisfiable for theBenchmark
% 3.72/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/1.59 % (2351929)------------------------------
% 3.72/1.59 % (2351929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.59 % (2351929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.59 % (2351929)CaDiCaL version: 2.1.3
% 3.72/1.59 % (2351929)Termination reason: Refutation
% 3.72/1.59 % (2351929)Time elapsed: 0.014 s
% 3.72/1.59 % (2351929)Peak memory usage: 88 MB
% 3.72/1.59 % (2351929)Instructions burned: 19 (million)
% 3.72/1.59 % (2351929)------------------------------
% 3.72/1.59 % (2351929)------------------------------
% 3.72/1.59 % (2351827)Success in time 0.433 s
% 3.72/1.59 % Vampire exiting
%------------------------------------------------------------------------------