%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD025-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:49:36 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 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 : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X4,X0)
| product(X0,X1,X2)
| ~ product(X4,X1,X5)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f31,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f32,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).
fof(f34,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_8) ).
fof(f35,negated_conjecture,
~ product(d,b,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_9) ).
fof(f58,plain,
product(multiplicative_identity,d,d),
inference(resolution,[],[f8,f30]) ).
fof(f59,plain,
product(multiplicative_identity,u,u),
inference(resolution,[],[f8,f31]) ).
fof(f80,plain,
product(a,multiplicative_identity,b),
inference(resolution,[],[f10,f32]) ).
fof(f82,plain,
product(c,a,u),
inference(resolution,[],[f10,f34]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ~ product(c,X0,X2)
| product(d,X0,X1)
| ~ product(multiplicative_identity,X2,X1) ),
inference(resolution,[],[f7,f33]) ).
fof(f356,plain,
! [X2,X0,X1] :
( ~ product(a,X2,X1)
| ~ product(multiplicative_identity,X0,X2)
| product(b,X0,X1) ),
inference(resolution,[],[f7,f80]) ).
fof(f376,plain,
! [X0] :
( ~ product(multiplicative_identity,u,X0)
| product(d,a,X0) ),
inference(resolution,[],[f354,f82]) ).
fof(f433,plain,
product(d,a,u),
inference(resolution,[],[f59,f376]) ).
fof(f448,plain,
product(a,d,u),
inference(resolution,[],[f433,f10]) ).
fof(f453,plain,
! [X0] :
( ~ product(multiplicative_identity,X0,d)
| product(b,X0,u) ),
inference(resolution,[],[f448,f356]) ).
fof(f482,plain,
product(b,d,u),
inference(resolution,[],[f453,f58]) ).
fof(f492,plain,
product(d,b,u),
inference(resolution,[],[f482,f10]) ).
fof(f493,plain,
$false,
inference(forward_subsumption_resolution,[],[f492,f35]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n002.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 00:31:08 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.29 % (938543)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (938552)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=630695917:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (938549)% WARNING: option uhcvi not known.
% 0.19/0.29 % (938548)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3160865836_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (938549)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=582600936:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (938550)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4139058067:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (938553)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4084721912:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (938551)dis+10_1_sil=32000:sp=arity:random_seed=3587776353:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (938554)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=601770648:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % TRYING [1]
% 0.19/0.29 % TRYING [2]
% 0.19/0.29 % TRYING [3]
% 0.19/0.29 % (938553) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-938543-938553"...
% 0.19/0.29 % (938553)...printing done.
% 0.19/0.29 % (938553)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (938553)------------------------------
% 0.19/0.29 % (938553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (938553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (938553)CaDiCaL version: 2.1.3
% 0.19/0.29 % (938553)Termination reason: Refutation
% 0.19/0.29 % (938553)Time elapsed: 0.008 s
% 0.19/0.29 % (938553)Peak memory usage: 11 MB
% 0.19/0.29 % (938553)Instructions burned: 12 (million)
% 0.19/0.29 % (938543)Success in time 0.05 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------