%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD025-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:49:03 AM UTC 2026
% Result : Unsatisfiable 3.48s 1.17s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 28 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f32,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_5) ).
fof(f33,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_equals_d_6) ).
fof(f34,negated_conjecture,
~ equalish(multiply(a,c),multiply(d,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_not_equal_to_multiply_7) ).
fof(f40,plain,
! [X0] :
( ~ equalish(multiply(a,c),X0)
| ~ equalish(X0,multiply(d,b)) ),
inference(resolution,[],[f23,f34]) ).
fof(f87,plain,
! [X0] :
( ~ defined(c)
| ~ equalish(a,X0)
| ~ equalish(multiply(X0,c),multiply(d,b)) ),
inference(resolution,[],[f25,f40]) ).
fof(f92,plain,
! [X0] :
( ~ equalish(multiply(X0,c),multiply(d,b))
| ~ equalish(a,X0) ),
inference(forward_subsumption_resolution,[],[f87,f30]) ).
fof(f118,plain,
! [X0,X1] :
( ~ equalish(a,X0)
| ~ equalish(multiply(X0,c),X1)
| ~ equalish(X1,multiply(d,b)) ),
inference(resolution,[],[f92,f23]) ).
fof(f245,plain,
! [X0] :
( ~ equalish(multiply(b,c),X0)
| ~ equalish(X0,multiply(d,b)) ),
inference(resolution,[],[f118,f32]) ).
fof(f369,plain,
( ~ equalish(multiply(c,b),multiply(d,b))
| ~ defined(b)
| ~ defined(c) ),
inference(resolution,[],[f245,f8]) ).
fof(f384,plain,
( ~ equalish(multiply(c,b),multiply(d,b))
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f369,f29]) ).
fof(f385,plain,
~ equalish(multiply(c,b),multiply(d,b)),
inference(forward_subsumption_resolution,[],[f384,f30]) ).
fof(f421,plain,
( ~ defined(b)
| ~ equalish(c,d) ),
inference(resolution,[],[f385,f25]) ).
fof(f424,plain,
~ equalish(c,d),
inference(forward_subsumption_resolution,[],[f421,f29]) ).
fof(f425,plain,
$false,
inference(forward_subsumption_resolution,[],[f424,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD025-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 00:27:37 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.48/1.17 % (1743910)Input is clausal, will run a generic CNF schedule.
% 3.48/1.17 % (1743919)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3937160734:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.48/1.17 % (1743919)Instruction limit reached!
% 3.48/1.17 % (1743919)------------------------------
% 3.48/1.17 % (1743919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.17 % (1743919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.17 % (1743919)CaDiCaL version: 2.1.3
% 3.48/1.17 % (1743919)Termination reason: Instruction limit
% 3.48/1.17 % (1743919)Termination phase: Saturation
% 3.48/1.17 % (1743919)Time elapsed: 0.039 s
% 3.48/1.17 % (1743919)Peak memory usage: 88 MB
% 3.48/1.17 % (1743919)Instructions burned: 115 (million)
% 3.48/1.17 % (1743920)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=573062506:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.48/1.17 % (1743918)lrs+10_1_sil=8000:sp=occurrence:random_seed=2820869317:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.48/1.17 % (1743916)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=522042263:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.48/1.17 % (1743915)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=1722095081:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.48/1.17 % (1743917)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3486291866:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.48/1.17 % (1743921)dis-21_1_sil=8000:lcm=predicate:random_seed=61324356: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)
% 3.48/1.17 % (1743920)First to succeed.
% 3.48/1.17 % (1743920)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1743910"
% 3.48/1.17 % (1743918)Also succeeded, but the first one will report.
% 3.48/1.17 % (1743921)Also succeeded, but the first one will report.
% 3.48/1.17 % (1743924)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=934041285:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.48/1.17 % (1743924)Instruction limit reached!
% 3.48/1.17 % (1743924)------------------------------
% 3.48/1.17 % (1743924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.17 % (1743924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.17 % (1743924)CaDiCaL version: 2.1.3
% 3.48/1.17 % (1743924)Termination reason: Instruction limit
% 3.48/1.17 % (1743924)Termination phase: Saturation
% 3.48/1.17 % (1743924)Time elapsed: 0.043 s
% 3.48/1.17 % (1743924)Peak memory usage: 89 MB
% 3.48/1.17 % (1743924)Instructions burned: 144 (million)
% 3.48/1.17 % (1743931)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2307660067: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)
% 3.48/1.17 % (1743920)Refutation found. Thanks to Tanya!
% 3.48/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.48/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.17 % (1743920)------------------------------
% 3.48/1.17 % (1743920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.17 % (1743920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.17 % (1743920)CaDiCaL version: 2.1.3
% 3.48/1.17 % (1743920)Termination reason: Refutation
% 3.48/1.17 % (1743920)Time elapsed: 0.011 s
% 3.48/1.17 % (1743920)Peak memory usage: 88 MB
% 3.48/1.17 % (1743920)Instructions burned: 14 (million)
% 3.48/1.17 % (1743920)------------------------------
% 3.48/1.17 % (1743920)------------------------------
% 3.48/1.17 % (1743910)Success in time 0.417 s
% 3.48/1.17 % Vampire exiting
%------------------------------------------------------------------------------