%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP009-1 : 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 : n009.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 3.39s 1.36s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 28 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
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/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f9,axiom,
product(a,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_an_inverse_of_b) ).
fof(f10,axiom,
product(c,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_an_inverse_of_b) ).
fof(f11,negated_conjecture,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_c) ).
fof(f14,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1) ),
inference(resolution,[],[f7,f1]) ).
fof(f62,plain,
! [X0,X1] :
( ~ product(b,X0,X1)
| product(a,X1,X0) ),
inference(resolution,[],[f19,f9]) ).
fof(f63,plain,
! [X0,X1] :
( ~ product(b,X0,X1)
| product(c,X1,X0) ),
inference(resolution,[],[f19,f10]) ).
fof(f79,plain,
product(a,identity,inverse(b)),
inference(resolution,[],[f62,f4]) ).
fof(f87,plain,
a = inverse(b),
inference(resolution,[],[f79,f14]) ).
fof(f102,plain,
product(b,a,identity),
inference(superposition,[],[f4,f87]) ).
fof(f131,plain,
product(c,identity,a),
inference(resolution,[],[f63,f102]) ).
fof(f136,plain,
a = c,
inference(resolution,[],[f131,f14]) ).
fof(f143,plain,
$false,
inference(forward_subsumption_resolution,[],[f136,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:13:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.39/1.36 % (1752626)Input is clausal, will run a generic CNF schedule.
% 3.39/1.36 % (1752745)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2153220343:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.39/1.36 % (1752744)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1940779507:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.39/1.36 % (1752743)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=526997639:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.39/1.36 % (1752747)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2858482157:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.39/1.36 % (1752746)lrs+10_1_sil=8000:sp=occurrence:random_seed=794368257:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.39/1.36 % (1752746)First to succeed.
% 3.39/1.36 % (1752746)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1752626"
% 3.39/1.36 % (1752749)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4165961809:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.39/1.36 % (1752751)dis-21_1_sil=8000:lcm=predicate:random_seed=1896337331: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)
% 3.39/1.36 % (1752749)Also succeeded, but the first one will report.
% 3.39/1.36 % (1752747)Instruction limit reached!
% 3.39/1.36 % (1752747)------------------------------
% 3.39/1.36 % (1752747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.36 % (1752747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.36 % (1752747)CaDiCaL version: 2.1.3
% 3.39/1.36 % (1752747)Termination reason: Instruction limit
% 3.39/1.36 % (1752747)Termination phase: Saturation
% 3.39/1.36 % (1752747)Time elapsed: 0.067 s
% 3.39/1.36 % (1752747)Peak memory usage: 88 MB
% 3.39/1.36 % (1752747)Instructions burned: 116 (million)
% 3.39/1.36 % (1752751)Instruction limit reached!
% 3.39/1.36 % (1752751)------------------------------
% 3.39/1.36 % (1752751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.36 % (1752751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.36 % (1752751)CaDiCaL version: 2.1.3
% 3.39/1.36 % (1752751)Termination reason: Instruction limit
% 3.39/1.36 % (1752751)Termination phase: Saturation
% 3.39/1.36 % (1752751)Time elapsed: 0.067 s
% 3.39/1.36 % (1752751)Peak memory usage: 88 MB
% 3.39/1.36 % (1752751)Instructions burned: 118 (million)
% 3.39/1.36 % (1752799)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=2249869092:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.39/1.36 % (1752800)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2235714396: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)
% 3.39/1.36 % (1752746)Refutation found. Thanks to Tanya!
% 3.39/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.39/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.39/1.36 % (1752746)------------------------------
% 3.39/1.36 % (1752746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.36 % (1752746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.36 % (1752746)CaDiCaL version: 2.1.3
% 3.39/1.36 % (1752746)Termination reason: Refutation
% 3.39/1.36 % (1752746)Time elapsed: 0.005 s
% 3.39/1.36 % (1752746)Peak memory usage: 88 MB
% 3.39/1.36 % (1752746)Instructions burned: 5 (million)
% 3.39/1.36 % (1752746)------------------------------
% 3.39/1.36 % (1752746)------------------------------
% 3.39/1.36 % (1752626)Success in time 0.42 s
% 3.39/1.36 % Vampire exiting
%------------------------------------------------------------------------------