%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD028-3 : 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 : n026.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 09:49:05 AM UTC 2026
% Result : Unsatisfiable 5.02s 1.48s
% Output : Refutation 5.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 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(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f30,axiom,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).
fof(f31,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).
fof(f32,negated_conjecture,
product(a,u,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
product(a,v,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_7) ).
fof(f34,negated_conjecture,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_8) ).
fof(f43,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f31,f27]) ).
fof(f206,plain,
product(multiplicative_identity,v,v),
inference(unit_resulting_resolution,[],[f8,f30]) ).
fof(f337,plain,
~ product(multiplicative_inverse(a),b,v),
inference(unit_resulting_resolution,[],[f7,f34,f32,f43]) ).
fof(f810,plain,
product(multiplicative_inverse(a),b,v),
inference(unit_resulting_resolution,[],[f6,f33,f43,f206]) ).
fof(f814,plain,
$false,
inference(forward_subsumption_resolution,[],[f810,f337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD028-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.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
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:31:57 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 5.02/1.48 % (247837)Input is clausal, will run a generic CNF schedule.
% 5.02/1.48 % (247846)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2930172625:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.02/1.48 % (247846)Instruction limit reached!
% 5.02/1.48 % (247846)------------------------------
% 5.02/1.48 % (247846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.48 % (247846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.48 % (247846)CaDiCaL version: 2.1.3
% 5.02/1.48 % (247846)Termination reason: Instruction limit
% 5.02/1.48 % (247846)Termination phase: Saturation
% 5.02/1.48 % (247846)Time elapsed: 0.035 s
% 5.02/1.48 % (247846)Peak memory usage: 88 MB
% 5.02/1.48 % (247846)Instructions burned: 117 (million)
% 5.02/1.48 % (247848)dis-21_1_sil=8000:lcm=predicate:random_seed=399826125: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)
% 5.02/1.48 % (247845)lrs+10_1_sil=8000:sp=occurrence:random_seed=2134200901:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.02/1.48 % (247843)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2697267713:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.02/1.48 % (247844)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2175960387:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.02/1.48 % (247842)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=2616672486:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.02/1.48 % (247847)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2362177672:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.02/1.48 % (247845)Instruction limit reached!
% 5.02/1.48 % (247845)------------------------------
% 5.02/1.48 % (247845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.48 % (247845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.48 % (247845)CaDiCaL version: 2.1.3
% 5.02/1.48 % (247845)Termination reason: Instruction limit
% 5.02/1.48 % (247845)Termination phase: Saturation
% 5.02/1.48 % (247845)Time elapsed: 0.068 s
% 5.02/1.48 % (247845)Peak memory usage: 88 MB
% 5.02/1.48 % (247845)Instructions burned: 108 (million)
% 5.02/1.48 % (247848)Instruction limit reached!
% 5.02/1.48 % (247848)------------------------------
% 5.02/1.48 % (247848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.48 % (247848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.48 % (247848)CaDiCaL version: 2.1.3
% 5.02/1.48 % (247848)Termination reason: Instruction limit
% 5.02/1.48 % (247848)Termination phase: Saturation
% 5.02/1.48 % (247848)Time elapsed: 0.074 s
% 5.02/1.48 % (247848)Peak memory usage: 89 MB
% 5.02/1.48 % (247848)Instructions burned: 118 (million)
% 5.02/1.48 % (247851)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=3052732551:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.02/1.48 % (247851)Instruction limit reached!
% 5.02/1.48 % (247851)------------------------------
% 5.02/1.48 % (247851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.48 % (247851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.48 % (247851)CaDiCaL version: 2.1.3
% 5.02/1.48 % (247851)Termination reason: Instruction limit
% 5.02/1.48 % (247851)Termination phase: Saturation
% 5.02/1.48 % (247851)Time elapsed: 0.045 s
% 5.02/1.48 % (247851)Peak memory usage: 89 MB
% 5.02/1.48 % (247851)Instructions burned: 144 (million)
% 5.02/1.48 % (247847)Instruction limit reached!
% 5.02/1.48 % (247847)------------------------------
% 5.02/1.48 % (247847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.48 % (247847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.48 % (247847)CaDiCaL version: 2.1.3
% 5.02/1.48 % (247847)Termination reason: Instruction limit
% 5.02/1.48 % (247847)Termination phase: Saturation
% 5.02/1.48 % (247847)Time elapsed: 0.113 s
% 5.02/1.48 % (247847)Peak memory usage: 89 MB
% 5.02/1.48 % (247847)Instructions burned: 180 (million)
% 5.02/1.48 % (247858)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1164072363:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.02/1.48 % (247857)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2396082884: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)
% 5.02/1.48 % (247860)lrs+10_64_to=lpo:sil=8000:random_seed=3265637947:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.02/1.48 % (247857)First to succeed.
% 5.02/1.48 % (247857)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-247837"
% 5.02/1.48 % (247860)Instruction limit reached!
% 5.02/1.48 % (247860)------------------------------
% 5.02/1.48 % (247860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.48 % (247860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.48 % (247860)CaDiCaL version: 2.1.3
% 5.02/1.48 % (247860)Termination reason: Instruction limit
% 5.02/1.48 % (247860)Termination phase: Saturation
% 5.02/1.48 % (247860)Time elapsed: 0.041 s
% 5.02/1.48 % (247860)Peak memory usage: 89 MB
% 5.02/1.48 % (247860)Instructions burned: 126 (million)
% 5.02/1.48 % (247861)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1285978952:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 5.02/1.48 % (247858)Instruction limit reached!
% 5.02/1.48 % (247858)------------------------------
% 5.02/1.48 % (247858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.48 % (247858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.48 % (247858)CaDiCaL version: 2.1.3
% 5.02/1.48 % (247858)Termination reason: Instruction limit
% 5.02/1.48 % (247858)Termination phase: Saturation
% 5.02/1.48 % (247858)Time elapsed: 0.134 s
% 5.02/1.48 % (247858)Peak memory usage: 89 MB
% 5.02/1.48 % (247858)Instructions burned: 220 (million)
% 5.02/1.48 % (247865)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1178544805:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.02/1.48 % (247861)Instruction limit reached!
% 5.02/1.48 % (247861)------------------------------
% 5.02/1.48 % (247861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.48 % (247861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.48 % (247861)CaDiCaL version: 2.1.3
% 5.02/1.48 % (247861)Termination reason: Instruction limit
% 5.02/1.48 % (247861)Termination phase: Saturation
% 5.02/1.48 % (247861)Time elapsed: 0.134 s
% 5.02/1.48 % (247861)Peak memory usage: 89 MB
% 5.02/1.48 % (247861)Instructions burned: 194 (million)
% 5.02/1.48 % (247865)Instruction limit reached!
% 5.02/1.48 % (247865)------------------------------
% 5.02/1.48 % (247865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.48 % (247865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.48 % (247865)CaDiCaL version: 2.1.3
% 5.02/1.48 % (247865)Termination reason: Instruction limit
% 5.02/1.48 % (247865)Termination phase: Saturation
% 5.02/1.48 % (247865)Time elapsed: 0.056 s
% 5.02/1.48 % (247865)Peak memory usage: 90 MB
% 5.02/1.48 % (247865)Instructions burned: 160 (million)
% 5.02/1.48 % (247857)Refutation found. Thanks to Tanya!
% 5.02/1.48 % SZS status Unsatisfiable for theBenchmark
% 5.02/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 5.02/1.48 % (247857)------------------------------
% 5.02/1.48 % (247857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.48 % (247857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.48 % (247857)CaDiCaL version: 2.1.3
% 5.02/1.48 % (247857)Termination reason: Refutation
% 5.02/1.48 % (247857)Time elapsed: 0.012 s
% 5.02/1.48 % (247857)Peak memory usage: 88 MB
% 5.02/1.48 % (247857)Instructions burned: 20 (million)
% 5.02/1.48 % (247857)------------------------------
% 5.02/1.48 % (247857)------------------------------
% 5.02/1.48 % (247837)Success in time 0.624 s
% 5.02/1.48 % Vampire exiting
%------------------------------------------------------------------------------