%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD030-3 : 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 : 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 09:49:06 AM UTC 2026
% Result : Unsatisfiable 3.65s 1.29s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 25 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 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(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_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(f30,negated_conjecture,
product(multiplicative_identity,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_4) ).
fof(f31,negated_conjecture,
~ product(d,b,multiply(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_5) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ product(X0,X2,multiply(a,b))
| ~ product(X1,b,X2)
| ~ product(X0,X1,d) ),
inference(resolution,[],[f7,f31]) ).
fof(f46,plain,
! [X0] :
( ~ product(X0,b,b)
| ~ product(a,X0,d)
| ~ defined(a)
| ~ defined(b) ),
inference(resolution,[],[f42,f20]) ).
fof(f50,plain,
! [X0] :
( ~ product(X0,b,b)
| ~ product(a,X0,d)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f46,f27]) ).
fof(f59,plain,
! [X0] :
( ~ product(a,X0,d)
| ~ product(X0,b,b) ),
inference(forward_subsumption_resolution,[],[f50,f28]) ).
fof(f76,plain,
! [X0] :
( ~ product(X0,b,b)
| ~ product(X0,a,d) ),
inference(resolution,[],[f59,f10]) ).
fof(f77,plain,
( ~ product(multiplicative_identity,a,d)
| ~ defined(b) ),
inference(resolution,[],[f76,f8]) ).
fof(f82,plain,
~ defined(b),
inference(forward_subsumption_resolution,[],[f77,f30]) ).
fof(f83,plain,
$false,
inference(forward_subsumption_resolution,[],[f82,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD030-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.18 % Computer : n013.cluster.edu
% 0.13/0.18 % Model : x86_64 x86_64
% 0.13/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18 % Memory : 8046.5625MB
% 0.13/0.18 % OS : Linux 6.8.0-71-generic
% 0.13/0.18 % CPULimit : 300
% 0.13/0.18 % WCLimit : 300
% 0.13/0.18 % DateTime : Tue Sep 29 00:29:21 UTC 2026
% 0.13/0.18 % CPUTime :
% 0.13/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.22 Running first-order theorem proving
% 0.13/0.22 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
% 3.65/1.29 % (1745668)Input is clausal, will run a generic CNF schedule.
% 3.65/1.29 % (1745675)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4253374306:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.65/1.29 % (1745679)dis-21_1_sil=8000:lcm=predicate:random_seed=3477859415: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)
% 3.65/1.29 % (1745673)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=1485256649:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.65/1.29 % (1745676)lrs+10_1_sil=8000:sp=occurrence:random_seed=3698060927:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.65/1.29 % (1745674)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2063788184:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.65/1.29 % (1745678)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2069564162:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.65/1.29 % (1745677)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3143252589:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.65/1.29 % (1745678)First to succeed.
% 3.65/1.29 % (1745677)Also succeeded, but the first one will report.
% 3.65/1.29 % (1745678)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1745668"
% 3.65/1.29 % (1745679)Instruction limit reached!
% 3.65/1.29 % (1745679)------------------------------
% 3.65/1.29 % (1745679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.29 % (1745679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.29 % (1745679)CaDiCaL version: 2.1.3
% 3.65/1.29 % (1745679)Termination reason: Instruction limit
% 3.65/1.29 % (1745679)Termination phase: Saturation
% 3.65/1.29 % (1745679)Time elapsed: 0.055 s
% 3.65/1.29 % (1745679)Peak memory usage: 88 MB
% 3.65/1.29 % (1745679)Instructions burned: 117 (million)
% 3.65/1.29 % (1745676)Instruction limit reached!
% 3.65/1.29 % (1745676)------------------------------
% 3.65/1.29 % (1745676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.29 % (1745676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.29 % (1745676)CaDiCaL version: 2.1.3
% 3.65/1.29 % (1745676)Termination reason: Instruction limit
% 3.65/1.29 % (1745676)Termination phase: Saturation
% 3.65/1.29 % (1745676)Time elapsed: 0.068 s
% 3.65/1.29 % (1745676)Peak memory usage: 89 MB
% 3.65/1.29 % (1745676)Instructions burned: 107 (million)
% 3.65/1.29 % (1745687)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=1270958811:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.65/1.29 % (1745688)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2340776822: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)
% 3.65/1.29 % (1745688)Also succeeded, but the first one will report.
% 3.65/1.29 % (1745678)Refutation found. Thanks to Tanya!
% 3.65/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.65/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.29 % (1745678)------------------------------
% 3.65/1.29 % (1745678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.29 % (1745678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.29 % (1745678)CaDiCaL version: 2.1.3
% 3.65/1.29 % (1745678)Termination reason: Refutation
% 3.65/1.29 % (1745678)Time elapsed: 0.003 s
% 3.65/1.29 % (1745678)Peak memory usage: 88 MB
% 3.65/1.29 % (1745678)Instructions burned: 3 (million)
% 3.65/1.29 % (1745678)------------------------------
% 3.65/1.29 % (1745678)------------------------------
% 3.65/1.29 % (1745668)Success in time 0.439 s
% 3.65/1.29 % Vampire exiting
%------------------------------------------------------------------------------