%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD025-5 : 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 : n007.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 09:49:04 AM UTC 2026
% Result : Unsatisfiable 5.27s 1.53s
% Output : Refutation 5.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f33,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).
fof(f34,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_8) ).
fof(f35,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_9) ).
fof(f36,negated_conjecture,
product(d,b,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_10) ).
fof(f37,negated_conjecture,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_11) ).
fof(f39,plain,
product(c,multiplicative_identity,d),
inference(unit_resulting_resolution,[],[f10,f34]) ).
fof(f40,plain,
product(c,a,u),
inference(unit_resulting_resolution,[],[f10,f35]) ).
fof(f43,plain,
~ product(c,b,u),
inference(unit_resulting_resolution,[],[f6,f36,f34,f37]) ).
fof(f47,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f8,f27]) ).
fof(f344,plain,
~ product(d,a,u),
inference(unit_resulting_resolution,[],[f6,f33,f39,f43]) ).
fof(f359,plain,
product(d,a,u),
inference(unit_resulting_resolution,[],[f7,f40,f39,f47]) ).
fof(f362,plain,
$false,
inference(forward_subsumption_resolution,[],[f359,f344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD025-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n007.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 00:26:26 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 5.27/1.53 % (3017885)Input is clausal, will run a generic CNF schedule.
% 5.27/1.53 % (3017890)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=1827743040:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.27/1.53 % (3017895)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3276404887:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.27/1.53 % (3017893)lrs+10_1_sil=8000:sp=occurrence:random_seed=3466030359:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.27/1.53 % (3017896)dis-21_1_sil=8000:lcm=predicate:random_seed=2404789120: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)
% 5.27/1.53 % (3017894)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3771142898:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.27/1.53 % (3017892)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3079802060:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.27/1.53 % (3017891)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3397774629:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.27/1.53 % (3017896)Instruction limit reached!
% 5.27/1.53 % (3017896)------------------------------
% 5.27/1.53 % (3017896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.53 % (3017896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.53 % (3017896)CaDiCaL version: 2.1.3
% 5.27/1.53 % (3017896)Termination reason: Instruction limit
% 5.27/1.53 % (3017896)Termination phase: Saturation
% 5.27/1.53 % (3017896)Time elapsed: 0.054 s
% 5.27/1.53 % (3017896)Peak memory usage: 88 MB
% 5.27/1.53 % (3017896)Instructions burned: 118 (million)
% 5.27/1.53 % (3017894)Instruction limit reached!
% 5.27/1.53 % (3017894)------------------------------
% 5.27/1.53 % (3017894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.53 % (3017894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.53 % (3017894)CaDiCaL version: 2.1.3
% 5.27/1.53 % (3017894)Termination reason: Instruction limit
% 5.27/1.53 % (3017894)Termination phase: Saturation
% 5.27/1.53 % (3017894)Time elapsed: 0.063 s
% 5.27/1.53 % (3017894)Peak memory usage: 88 MB
% 5.27/1.53 % (3017894)Instructions burned: 115 (million)
% 5.27/1.53 % (3017893)Instruction limit reached!
% 5.27/1.53 % (3017893)------------------------------
% 5.27/1.53 % (3017893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.53 % (3017893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.53 % (3017893)CaDiCaL version: 2.1.3
% 5.27/1.53 % (3017893)Termination reason: Instruction limit
% 5.27/1.53 % (3017893)Termination phase: Saturation
% 5.27/1.53 % (3017893)Time elapsed: 0.065 s
% 5.27/1.53 % (3017893)Peak memory usage: 89 MB
% 5.27/1.53 % (3017893)Instructions burned: 108 (million)
% 5.27/1.53 % (3017895)Instruction limit reached!
% 5.27/1.53 % (3017895)------------------------------
% 5.27/1.53 % (3017895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.53 % (3017895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.53 % (3017895)CaDiCaL version: 2.1.3
% 5.27/1.53 % (3017895)Termination reason: Instruction limit
% 5.27/1.53 % (3017895)Termination phase: Saturation
% 5.27/1.53 % (3017895)Time elapsed: 0.106 s
% 5.27/1.53 % (3017895)Peak memory usage: 89 MB
% 5.27/1.53 % (3017895)Instructions burned: 180 (million)
% 5.27/1.53 % (3017905)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2802450986: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)
% 5.27/1.53 % (3017906)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3413349669:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.27/1.53 % (3017904)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=3415595327:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.27/1.53 % (3017905)First to succeed.
% 5.27/1.53 % (3017905)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3017885"
% 5.27/1.53 % (3017904)Also succeeded, but the first one will report.
% 5.27/1.53 % (3017907)lrs+10_64_to=lpo:sil=8000:random_seed=973942423:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.27/1.53 % (3017890)Also succeeded, but the first one will report.
% 5.27/1.53 % (3017907)Also succeeded, but the first one will report.
% 5.27/1.53 % (3017906)Instruction limit reached!
% 5.27/1.53 % (3017906)------------------------------
% 5.27/1.53 % (3017906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.53 % (3017906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.53 % (3017906)CaDiCaL version: 2.1.3
% 5.27/1.53 % (3017906)Termination reason: Instruction limit
% 5.27/1.53 % (3017906)Termination phase: Saturation
% 5.27/1.53 % (3017906)Time elapsed: 0.133 s
% 5.27/1.53 % (3017906)Peak memory usage: 89 MB
% 5.27/1.53 % (3017906)Instructions burned: 220 (million)
% 5.27/1.53 % (3017905)Refutation found. Thanks to Tanya!
% 5.27/1.53 % SZS status Unsatisfiable for theBenchmark
% 5.27/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.27/1.53 % (3017905)------------------------------
% 5.27/1.53 % (3017905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.53 % (3017905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.53 % (3017905)CaDiCaL version: 2.1.3
% 5.27/1.53 % (3017905)Termination reason: Refutation
% 5.27/1.53 % (3017905)Time elapsed: 0.007 s
% 5.27/1.53 % (3017905)Peak memory usage: 88 MB
% 5.27/1.53 % (3017905)Instructions burned: 11 (million)
% 5.27/1.53 % (3017905)------------------------------
% 5.27/1.53 % (3017905)------------------------------
% 5.27/1.53 % (3017885)Success in time 0.652 s
% 5.27/1.53 % Vampire exiting
%------------------------------------------------------------------------------