%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD038-3 : 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 : n015.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 09:49:08 AM UTC 2026
% Result : Unsatisfiable 0.21s 1.14s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 22 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_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(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
product(b,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_4) ).
fof(f31,negated_conjecture,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_5) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ product(X1,a,X2)
| ~ product(X0,X1,multiplicative_identity)
| ~ product(X0,X2,b) ),
inference(resolution,[],[f7,f31]) ).
fof(f114,plain,
! [X0] :
( ~ product(X0,multiplicative_inverse(a),multiplicative_identity)
| ~ product(X0,multiplicative_identity,b)
| sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f63,f9]) ).
fof(f116,plain,
! [X0] :
( ~ product(X0,multiplicative_inverse(a),multiplicative_identity)
| ~ product(X0,multiplicative_identity,b)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f114,f29]) ).
fof(f118,plain,
! [X0] :
( ~ product(X0,multiplicative_inverse(a),multiplicative_identity)
| ~ product(X0,multiplicative_identity,b) ),
inference(forward_subsumption_resolution,[],[f116,f27]) ).
fof(f159,plain,
~ product(b,multiplicative_identity,b),
inference(resolution,[],[f118,f30]) ).
fof(f174,plain,
~ product(multiplicative_identity,b,b),
inference(resolution,[],[f159,f10]) ).
fof(f191,plain,
~ defined(b),
inference(resolution,[],[f174,f8]) ).
fof(f196,plain,
$false,
inference(forward_subsumption_resolution,[],[f191,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD038-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % 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 00:37:03 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 0.21/1.14 % (3199467)Input is clausal, will run a generic CNF schedule.
% 0.21/1.14 % (3199476)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3648071304:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/1.14 % (3199476)First to succeed.
% 0.21/1.14 % (3199476)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3199467"
% 0.21/1.14 % (3199477)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3406257616:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/1.14 % (3199475)lrs+10_1_sil=8000:sp=occurrence:random_seed=250354943:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/1.14 % (3199478)dis-21_1_sil=8000:lcm=predicate:random_seed=508219841: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)
% 0.21/1.14 % (3199474)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4245759134:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/1.14 % (3199472)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=2916438898:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/1.14 % (3199473)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2378987045:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/1.14 % (3199475)Also succeeded, but the first one will report.
% 0.21/1.14 % (3199477)Also succeeded, but the first one will report.
% 0.21/1.14 % (3199478)Instruction limit reached!
% 0.21/1.14 % (3199478)------------------------------
% 0.21/1.14 % (3199478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.14 % (3199478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.14 % (3199478)CaDiCaL version: 2.1.3
% 0.21/1.14 % (3199478)Termination reason: Instruction limit
% 0.21/1.14 % (3199478)Termination phase: Saturation
% 0.21/1.14 % (3199478)Time elapsed: 0.075 s
% 0.21/1.14 % (3199478)Peak memory usage: 89 MB
% 0.21/1.14 % (3199478)Instructions burned: 117 (million)
% 0.21/1.14 % (3199476)Refutation found. Thanks to Tanya!
% 0.21/1.14 % SZS status Unsatisfiable for theBenchmark
% 0.21/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.14 % (3199476)------------------------------
% 0.21/1.14 % (3199476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.14 % (3199476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.14 % (3199476)CaDiCaL version: 2.1.3
% 0.21/1.14 % (3199476)Termination reason: Refutation
% 0.21/1.14 % (3199476)Time elapsed: 0.003 s
% 0.21/1.14 % (3199476)Peak memory usage: 88 MB
% 0.21/1.14 % (3199476)Instructions burned: 6 (million)
% 0.21/1.14 % (3199476)------------------------------
% 0.21/1.14 % (3199476)------------------------------
% 0.21/1.14 % (3199467)Success in time 0.287 s
% 0.21/1.14 % Vampire exiting
%------------------------------------------------------------------------------