%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD025-4 : 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 : n005.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 2.79s 1.16s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X1,X5)
| ~ product(X3,X4,X0)
| product(X0,X1,X2)
| ~ 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(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f31,axiom,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
fof(f32,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_7) ).
fof(f34,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_8) ).
fof(f35,negated_conjecture,
~ product(d,b,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_9) ).
fof(f39,plain,
product(c,multiplicative_identity,d),
inference(resolution,[],[f10,f33]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| product(X1,X2,X3)
| ~ product(X0,X2,X3)
| ~ defined(X2) ),
inference(resolution,[],[f7,f8]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ product(X0,u,X2)
| product(X1,c,X2)
| ~ product(X0,a,X1) ),
inference(resolution,[],[f7,f34]) ).
fof(f247,plain,
! [X0] :
( product(X0,c,u)
| ~ product(multiplicative_identity,a,X0)
| ~ defined(u) ),
inference(resolution,[],[f140,f8]) ).
fof(f250,plain,
! [X0] :
( ~ product(multiplicative_identity,a,X0)
| product(X0,c,u) ),
inference(forward_subsumption_resolution,[],[f247,f31]) ).
fof(f537,plain,
! [X0,X1] :
( ~ product(c,X0,X1)
| product(d,X0,X1)
| ~ defined(X0) ),
inference(resolution,[],[f138,f39]) ).
fof(f645,plain,
product(b,c,u),
inference(resolution,[],[f250,f32]) ).
fof(f680,plain,
product(c,b,u),
inference(resolution,[],[f645,f10]) ).
fof(f899,plain,
( product(d,b,u)
| ~ defined(b) ),
inference(resolution,[],[f537,f680]) ).
fof(f903,plain,
~ defined(b),
inference(forward_subsumption_resolution,[],[f899,f35]) ).
fof(f904,plain,
$false,
inference(forward_subsumption_resolution,[],[f903,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD025-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.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 00:28:16 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 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
% 2.79/1.16 % (1330088)Input is clausal, will run a generic CNF schedule.
% 2.79/1.16 % (1330096)lrs+10_1_sil=8000:sp=occurrence:random_seed=635580827:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.79/1.16 % (1330096)First to succeed.
% 2.79/1.16 % (1330096)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1330088"
% 2.79/1.16 % (1330094)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2789543541:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.79/1.16 % (1330097)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2757732323:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.79/1.16 % (1330093)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=226553158:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.79/1.16 % (1330099)dis-21_1_sil=8000:lcm=predicate:random_seed=24661477: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)
% 2.79/1.16 % (1330098)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2637749038:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.79/1.16 % (1330095)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1198817654:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.79/1.16 % (1330099)Instruction limit reached!
% 2.79/1.16 % (1330099)------------------------------
% 2.79/1.16 % (1330099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.16 % (1330099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.16 % (1330099)CaDiCaL version: 2.1.3
% 2.79/1.16 % (1330099)Termination reason: Instruction limit
% 2.79/1.16 % (1330099)Termination phase: Saturation
% 2.79/1.16 % (1330099)Time elapsed: 0.055 s
% 2.79/1.16 % (1330099)Peak memory usage: 88 MB
% 2.79/1.16 % (1330099)Instructions burned: 118 (million)
% 2.79/1.16 % (1330097)Instruction limit reached!
% 2.79/1.16 % (1330097)------------------------------
% 2.79/1.16 % (1330097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.16 % (1330097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.16 % (1330097)CaDiCaL version: 2.1.3
% 2.79/1.16 % (1330097)Termination reason: Instruction limit
% 2.79/1.16 % (1330097)Termination phase: Saturation
% 2.79/1.16 % (1330097)Time elapsed: 0.064 s
% 2.79/1.16 % (1330097)Peak memory usage: 88 MB
% 2.79/1.16 % (1330097)Instructions burned: 114 (million)
% 2.79/1.16 % (1330098)Instruction limit reached!
% 2.79/1.16 % (1330098)------------------------------
% 2.79/1.16 % (1330098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.16 % (1330098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.16 % (1330098)CaDiCaL version: 2.1.3
% 2.79/1.16 % (1330098)Termination reason: Instruction limit
% 2.79/1.16 % (1330098)Termination phase: Saturation
% 2.79/1.16 % (1330098)Time elapsed: 0.105 s
% 2.79/1.16 % (1330098)Peak memory usage: 88 MB
% 2.79/1.16 % (1330098)Instructions burned: 181 (million)
% 2.79/1.16 % (1330096)Refutation found. Thanks to Tanya!
% 2.79/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.79/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.16 % (1330096)------------------------------
% 2.79/1.16 % (1330096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.16 % (1330096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.16 % (1330096)CaDiCaL version: 2.1.3
% 2.79/1.16 % (1330096)Termination reason: Refutation
% 2.79/1.16 % (1330096)Time elapsed: 0.012 s
% 2.79/1.16 % (1330096)Peak memory usage: 88 MB
% 2.79/1.16 % (1330096)Instructions burned: 32 (million)
% 2.79/1.16 % (1330096)------------------------------
% 2.79/1.16 % (1330096)------------------------------
% 2.79/1.16 % (1330088)Success in time 0.302 s
% 2.79/1.16 % Vampire exiting
%------------------------------------------------------------------------------