%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP047-2 : 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 : n005.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 10:12:14 AM UTC 2026
% Result : Unsatisfiable 2.90s 1.08s
% Output : Refutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 40 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f6,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/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( product(X2,X3,X1)
| ~ product(X2,X3,X0)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
fof(f9,negated_conjecture,
~ equalish(multiply(c,a),multiply(c,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_substitution2) ).
fof(f10,plain,
! [X0,X1] :
( ~ product(X0,X1,multiply(c,b))
| ~ product(X0,X1,multiply(c,a)) ),
inference(resolution,[],[f4,f9]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X4,X1,multiply(c,a))
| ~ product(X3,X2,multiply(c,b))
| ~ product(X3,X0,X4)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f6,f10]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ product(X7,X6,multiply(c,a))
| ~ product(X0,X2,X3)
| ~ product(X2,X4,X1)
| ~ product(X5,X4,X6)
| ~ product(X0,X1,multiply(c,b))
| ~ product(X7,X5,X3) ),
inference(resolution,[],[f19,f6]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(c,X5,X2)
| ~ product(X1,X3,X4)
| ~ product(X5,X3,a)
| ~ product(X0,X4,multiply(c,b))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f48,f3]) ).
fof(f453,plain,
! [X2,X3,X0,X1] :
( ~ product(c,X3,multiply(c,b))
| ~ product(X0,X2,X3)
| ~ product(X0,X2,a)
| ~ product(c,X0,X1) ),
inference(factoring,[],[f203]) ).
fof(f1507,plain,
! [X2,X0,X1] :
( ~ product(c,X0,X2)
| ~ product(X0,X1,a)
| ~ product(X0,X1,b) ),
inference(resolution,[],[f453,f3]) ).
fof(f1539,plain,
! [X0,X1] :
( ~ product(X0,X1,b)
| ~ product(X0,X1,a) ),
inference(resolution,[],[f1507,f3]) ).
fof(f1554,plain,
! [X2,X0,X1] :
( ~ equalish(X2,b)
| ~ product(X0,X1,X2)
| ~ product(X0,X1,a) ),
inference(resolution,[],[f1539,f7]) ).
fof(f1610,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| ~ product(X0,X1,a) ),
inference(resolution,[],[f1554,f8]) ).
fof(f1612,plain,
! [X0,X1] : ~ product(X0,X1,a),
inference(duplicate_literal_removal,[],[f1610]) ).
fof(f1619,plain,
$false,
inference(resolution,[],[f1612,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP047-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:16:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.90/1.08 % (3718861)Input is clausal, will run a generic CNF schedule.
% 2.90/1.08 % (3718871)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=844773630:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.90/1.08 % (3718869)lrs+10_1_sil=8000:sp=occurrence:random_seed=2666962929:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.90/1.08 % (3718870)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3653930237:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.90/1.08 % (3718867)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=354645839:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.90/1.08 % (3718866)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=2910448051:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.90/1.08 % (3718872)dis-21_1_sil=8000:lcm=predicate:random_seed=1444220212: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)
% 2.90/1.08 % (3718868)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=281672777:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.90/1.08 % (3718871)First to succeed.
% 2.90/1.08 % (3718871)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3718861"
% 2.90/1.08 % (3718870)Instruction limit reached!
% 2.90/1.08 % (3718870)------------------------------
% 2.90/1.08 % (3718870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.08 % (3718870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.08 % (3718870)CaDiCaL version: 2.1.3
% 2.90/1.08 % (3718870)Termination reason: Instruction limit
% 2.90/1.08 % (3718870)Termination phase: Saturation
% 2.90/1.08 % (3718870)Time elapsed: 0.057 s
% 2.90/1.08 % (3718870)Peak memory usage: 88 MB
% 2.90/1.08 % (3718870)Instructions burned: 116 (million)
% 2.90/1.08 % (3718872)Instruction limit reached!
% 2.90/1.08 % (3718872)------------------------------
% 2.90/1.08 % (3718872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.08 % (3718872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.08 % (3718872)CaDiCaL version: 2.1.3
% 2.90/1.08 % (3718872)Termination reason: Instruction limit
% 2.90/1.08 % (3718872)Termination phase: Saturation
% 2.90/1.08 % (3718872)Time elapsed: 0.069 s
% 2.90/1.08 % (3718872)Peak memory usage: 88 MB
% 2.90/1.08 % (3718872)Instructions burned: 118 (million)
% 2.90/1.08 % (3718869)Instruction limit reached!
% 2.90/1.08 % (3718869)------------------------------
% 2.90/1.08 % (3718869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.08 % (3718869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.08 % (3718869)CaDiCaL version: 2.1.3
% 2.90/1.08 % (3718869)Termination reason: Instruction limit
% 2.90/1.08 % (3718869)Termination phase: Saturation
% 2.90/1.08 % (3718869)Time elapsed: 0.071 s
% 2.90/1.08 % (3718869)Peak memory usage: 89 MB
% 2.90/1.08 % (3718869)Instructions burned: 107 (million)
% 2.90/1.08 % (3718871)Refutation found. Thanks to Tanya!
% 2.90/1.08 % SZS status Unsatisfiable for theBenchmark
% 2.90/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 2.90/1.08 % (3718871)------------------------------
% 2.90/1.08 % (3718871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.08 % (3718871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.08 % (3718871)CaDiCaL version: 2.1.3
% 2.90/1.08 % (3718871)Termination reason: Refutation
% 2.90/1.08 % (3718871)Time elapsed: 0.041 s
% 2.90/1.08 % (3718871)Peak memory usage: 89 MB
% 2.90/1.08 % (3718871)Instructions burned: 128 (million)
% 2.90/1.08 % (3718871)------------------------------
% 2.90/1.08 % (3718871)------------------------------
% 2.90/1.08 % (3718861)Success in time 0.367 s
% 2.90/1.08 % Vampire exiting
%------------------------------------------------------------------------------