%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD025-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 5.21s 1.46s
% Output : Refutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 20 ( 15 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
fof(f32,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
~ product(d,b,multiply(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_7) ).
fof(f34,plain,
product(a,multiplicative_identity,b),
inference(unit_resulting_resolution,[],[f10,f31]) ).
fof(f37,plain,
~ product(b,d,multiply(a,c)),
inference(unit_resulting_resolution,[],[f10,f33]) ).
fof(f70,plain,
product(multiplicative_identity,b,b),
inference(unit_resulting_resolution,[],[f8,f28]) ).
fof(f106,plain,
product(multiplicative_identity,c,c),
inference(unit_resulting_resolution,[],[f8,f29]) ).
fof(f145,plain,
product(a,c,multiply(a,c)),
inference(unit_resulting_resolution,[],[f20,f27,f29]) ).
fof(f791,plain,
product(b,multiplicative_identity,b),
inference(unit_resulting_resolution,[],[f7,f34,f31,f70]) ).
fof(f910,plain,
~ product(b,c,multiply(a,c)),
inference(unit_resulting_resolution,[],[f6,f32,f37,f791]) ).
fof(f1473,plain,
~ product(a,c,multiply(a,c)),
inference(unit_resulting_resolution,[],[f7,f910,f34,f106]) ).
fof(f1476,plain,
$false,
inference(forward_subsumption_resolution,[],[f1473,f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD025-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:28:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 5.21/1.46 % (359665)Input is clausal, will run a generic CNF schedule.
% 5.21/1.46 % (359670)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=1530287938:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.21/1.46 % (359673)lrs+10_1_sil=8000:sp=occurrence:random_seed=2331312597:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.21/1.46 % (359672)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1909975527:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.21/1.46 % (359674)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1905348518:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.21/1.46 % (359671)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=487271145:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.21/1.46 % (359675)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=85413479:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.21/1.46 % (359676)dis-21_1_sil=8000:lcm=predicate:random_seed=321567241: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)
% 5.21/1.46 % (359676)Instruction limit reached!
% 5.21/1.46 % (359676)------------------------------
% 5.21/1.46 % (359676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.46 % (359676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.46 % (359676)CaDiCaL version: 2.1.3
% 5.21/1.46 % (359676)Termination reason: Instruction limit
% 5.21/1.46 % (359676)Termination phase: Saturation
% 5.21/1.46 % (359676)Time elapsed: 0.054 s
% 5.21/1.46 % (359676)Peak memory usage: 88 MB
% 5.21/1.46 % (359676)Instructions burned: 117 (million)
% 5.21/1.46 % (359674)Instruction limit reached!
% 5.21/1.46 % (359674)------------------------------
% 5.21/1.46 % (359674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.46 % (359674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.46 % (359674)CaDiCaL version: 2.1.3
% 5.21/1.46 % (359674)Termination reason: Instruction limit
% 5.21/1.46 % (359674)Termination phase: Saturation
% 5.21/1.46 % (359674)Time elapsed: 0.065 s
% 5.21/1.46 % (359674)Peak memory usage: 88 MB
% 5.21/1.46 % (359674)Instructions burned: 116 (million)
% 5.21/1.46 % (359673)Instruction limit reached!
% 5.21/1.46 % (359673)------------------------------
% 5.21/1.46 % (359673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.46 % (359673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.46 % (359673)CaDiCaL version: 2.1.3
% 5.21/1.46 % (359673)Termination reason: Instruction limit
% 5.21/1.46 % (359673)Termination phase: Saturation
% 5.21/1.46 % (359673)Time elapsed: 0.067 s
% 5.21/1.46 % (359673)Peak memory usage: 89 MB
% 5.21/1.46 % (359673)Instructions burned: 108 (million)
% 5.21/1.46 % (359675)Instruction limit reached!
% 5.21/1.46 % (359675)------------------------------
% 5.21/1.46 % (359675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.46 % (359675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.46 % (359675)CaDiCaL version: 2.1.3
% 5.21/1.46 % (359675)Termination reason: Instruction limit
% 5.21/1.46 % (359675)Termination phase: Saturation
% 5.21/1.46 % (359675)Time elapsed: 0.105 s
% 5.21/1.46 % (359675)Peak memory usage: 88 MB
% 5.21/1.46 % (359675)Instructions burned: 181 (million)
% 5.21/1.46 % (359684)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=3445013128:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.21/1.46 % (359685)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1692356371: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)
% 5.21/1.46 % (359686)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1069486380:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.21/1.46 % (359685)First to succeed.
% 5.21/1.46 % (359685)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-359665"
% 5.21/1.46 % (359687)lrs+10_64_to=lpo:sil=8000:random_seed=3608180371:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.21/1.46 % (359684)Instruction limit reached!
% 5.21/1.46 % (359684)------------------------------
% 5.21/1.46 % (359684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.46 % (359684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.46 % (359684)CaDiCaL version: 2.1.3
% 5.21/1.46 % (359684)Termination reason: Instruction limit
% 5.21/1.46 % (359684)Termination phase: Saturation
% 5.21/1.46 % (359684)Time elapsed: 0.081 s
% 5.21/1.46 % (359684)Peak memory usage: 88 MB
% 5.21/1.46 % (359684)Instructions burned: 143 (million)
% 5.21/1.46 % (359670)Also succeeded, but the first one will report.
% 5.21/1.46 % (359687)Instruction limit reached!
% 5.21/1.46 % (359687)------------------------------
% 5.21/1.46 % (359687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.46 % (359687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.46 % (359687)CaDiCaL version: 2.1.3
% 5.21/1.46 % (359687)Termination reason: Instruction limit
% 5.21/1.46 % (359687)Termination phase: Saturation
% 5.21/1.46 % (359687)Time elapsed: 0.054 s
% 5.21/1.46 % (359687)Peak memory usage: 87 MB
% 5.21/1.46 % (359687)Instructions burned: 127 (million)
% 5.21/1.46 % (359686)Instruction limit reached!
% 5.21/1.46 % (359686)------------------------------
% 5.21/1.46 % (359686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.46 % (359686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.46 % (359686)CaDiCaL version: 2.1.3
% 5.21/1.46 % (359686)Termination reason: Instruction limit
% 5.21/1.46 % (359686)Termination phase: Saturation
% 5.21/1.46 % (359686)Time elapsed: 0.134 s
% 5.21/1.46 % (359686)Peak memory usage: 90 MB
% 5.21/1.46 % (359686)Instructions burned: 220 (million)
% 5.21/1.46 % (359692)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2567765536:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.21/1.46 % (359692)Also succeeded, but the first one will report.
% 5.21/1.46 % (359685)Refutation found. Thanks to Tanya!
% 5.21/1.46 % SZS status Unsatisfiable for theBenchmark
% 5.21/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 5.21/1.46 % (359685)------------------------------
% 5.21/1.46 % (359685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.46 % (359685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.46 % (359685)CaDiCaL version: 2.1.3
% 5.21/1.46 % (359685)Termination reason: Refutation
% 5.21/1.46 % (359685)Time elapsed: 0.017 s
% 5.21/1.46 % (359685)Peak memory usage: 88 MB
% 5.21/1.46 % (359685)Instructions burned: 30 (million)
% 5.21/1.46 % (359685)------------------------------
% 5.21/1.46 % (359685)------------------------------
% 5.21/1.46 % (359665)Success in time 0.659 s
% 5.21/1.46 % Vampire exiting
%------------------------------------------------------------------------------