%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD037-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:49:39 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.19s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 24 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
fof(f15,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f30,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f31,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_4) ).
fof(f32,negated_conjecture,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity_not_equal_to_multiply_5) ).
fof(f39,plain,
! [X0] :
( ~ equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| ~ equalish(X0,additive_identity) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f42,plain,
! [X0] :
( ~ equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f45,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| equalish(X0,X2)
| equalish(X2,X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| equalish(X0,X2) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f51,plain,
equalish(a,additive_identity),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f52,plain,
~ equalish(a,b),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f53,plain,
equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f55,plain,
equalish(multiply(b,multiplicative_inverse(a)),multiplicative_identity),
inference(resolution,[],[f45,f53]) ).
fof(f61,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f42,f51]) ).
fof(f62,plain,
defined(multiplicative_inverse(a)),
inference(forward_subsumption_resolution,[],[f61,f28]) ).
fof(f66,plain,
! [X0] :
( equalish(multiply(b,multiplicative_inverse(a)),X0)
| equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f46,f55]) ).
fof(f453,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(a)),multiplicative_identity)
| ~ defined(multiplicative_inverse(a))
| equalish(b,X0) ),
inference(resolution,[],[f66,f48]) ).
fof(f458,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(a)),multiplicative_identity)
| equalish(b,X0) ),
inference(forward_subsumption_resolution,[],[f453,f62]) ).
fof(f2740,plain,
( equalish(b,a)
| ~ defined(a)
| ~ equalish(a,additive_identity) ),
inference(resolution,[],[f458,f39]) ).
fof(f2743,plain,
( equalish(b,a)
| ~ equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f2740,f28]) ).
fof(f2744,plain,
equalish(b,a),
inference(forward_subsumption_resolution,[],[f2743,f51]) ).
fof(f2746,plain,
equalish(a,b),
inference(resolution,[],[f2744,f45]) ).
fof(f2747,plain,
$false,
inference(forward_subsumption_resolution,[],[f2746,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : FLD037-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 00:33:20 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.13 Running first-order model finding
% 0.09/0.13 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.19 % (3950272)Will run a generic schedule for satisfiability detection.
% 0.09/0.19 % (3950283)% WARNING: option uhcvi not known.
% 0.09/0.19 % (3950283)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3007296444:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.19 % (3950287)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=976610770:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.19 % (3950284)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=422525462:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.19 % (3950285)dis+10_1_sil=32000:sp=arity:random_seed=2183099267:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.19 % (3950286)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3913285216:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.19 % (3950282)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1820410047_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.19 % (3950288)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1671614473:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.19 % TRYING [1]
% 0.09/0.19 % TRYING [2]
% 0.09/0.19 % TRYING [3]
% 0.09/0.19 % TRYING [4]
% 0.09/0.19 % TRYING [5]
% 0.09/0.19 % (3950283) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3950272-3950283"...
% 0.09/0.19 % (3950283)...printing done.
% 0.09/0.19 % (3950283)Refutation found. Thanks to Tanya!
% 0.09/0.19 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.19 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.19 % (3950283)------------------------------
% 0.09/0.19 % (3950283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.19 % (3950283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.19 % (3950283)CaDiCaL version: 2.1.3
% 0.09/0.19 % (3950283)Termination reason: Refutation
% 0.09/0.19 % (3950283)Time elapsed: 0.018 s
% 0.09/0.19 % (3950283)Peak memory usage: 12 MB
% 0.09/0.19 % (3950283)Instructions burned: 51 (million)
% 0.09/0.19 % (3950272)Success in time 0.052 s
% 0.09/0.19 % Vampire exiting
%------------------------------------------------------------------------------