%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD028-3 : 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 : n003.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 09:49:37 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.27s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 18 |; 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 : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 24 ( 24 !; 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/sandbox/benchmark/Axioms/FLD002-0.ax',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/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',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/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f30,axiom,
defined(v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_is_defined) ).
fof(f31,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
fof(f32,negated_conjecture,
product(a,u,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
product(a,v,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).
fof(f34,negated_conjecture,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_8) ).
fof(f273,plain,
! [X2,X0,X1] :
( product(X0,b,X1)
| ~ product(X0,a,X2)
| ~ product(X2,v,X1) ),
inference(resolution,[],[f6,f33]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,multiplicative_identity)
| ~ product(X1,u,X2)
| ~ product(X0,X2,v) ),
inference(resolution,[],[f7,f34]) ).
fof(f556,plain,
! [X0] :
( product(X0,b,v)
| ~ product(X0,a,multiplicative_identity)
| ~ defined(v) ),
inference(resolution,[],[f273,f8]) ).
fof(f560,plain,
! [X0] :
( product(X0,b,v)
| ~ product(X0,a,multiplicative_identity) ),
inference(forward_subsumption_resolution,[],[f556,f30]) ).
fof(f687,plain,
! [X0] :
( ~ product(X0,a,multiplicative_identity)
| ~ product(X0,b,v) ),
inference(resolution,[],[f292,f32]) ).
fof(f698,plain,
! [X0] : ~ product(X0,a,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f687,f560]) ).
fof(f761,plain,
( sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f698,f9]) ).
fof(f762,plain,
~ defined(a),
inference(forward_subsumption_resolution,[],[f761,f31]) ).
fof(f763,plain,
$false,
inference(forward_subsumption_resolution,[],[f762,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD028-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n003.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 00:30:58 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.27 % (2183005)Will run a generic schedule for satisfiability detection.
% 0.09/0.27 % (2183014)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=129046590:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.27 % (2183010)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3019246157_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.27 % (2183015)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1531583689:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.27 % (2183013)dis+10_1_sil=32000:sp=arity:random_seed=2436238795:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.27 % (2183012)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=174610398:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.27 % (2183016)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3508997261:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.27 % TRYING [1]
% 0.09/0.27 % TRYING [2]
% 0.09/0.27 % TRYING [3]
% 0.09/0.27 % (2183011)% WARNING: option uhcvi not known.
% 0.09/0.27 % TRYING [4]
% 0.09/0.27 % (2183011)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2828097718:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.27 % (2183014) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2183005-2183014"...
% 0.09/0.27 % (2183014)...printing done.
% 0.09/0.27 % (2183014)Refutation found. Thanks to Tanya!
% 0.09/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.27 % (2183014)------------------------------
% 0.09/0.27 % (2183014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27 % (2183014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27 % (2183014)CaDiCaL version: 2.1.3
% 0.09/0.27 % (2183014)Termination reason: Refutation
% 0.09/0.27 % (2183014)Time elapsed: 0.026 s
% 0.09/0.27 % (2183014)Peak memory usage: 12 MB
% 0.09/0.27 % (2183014)Instructions burned: 91 (million)
% 0.09/0.27 % (2183005)Success in time 0.055 s
% 0.09/0.27 % Vampire exiting
%------------------------------------------------------------------------------