%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD010-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 09:49:31 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
fof(f14,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_identity) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
fof(f27,axiom,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',different_identities) ).
fof(f28,negated_conjecture,
~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inv_not_equal_to_multiplicative_id_2) ).
fof(f33,plain,
! [X0] :
( equalish(X0,multiply(multiplicative_identity,X0))
| ~ defined(X0) ),
inference(resolution,[],[f6,f22]) ).
fof(f35,plain,
! [X0] :
( equalish(additive_identity,X0)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
inference(resolution,[],[f15,f22]) ).
fof(f36,plain,
( defined(multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f35,f27]) ).
fof(f38,plain,
defined(multiplicative_inverse(multiplicative_identity)),
inference(forward_subsumption_resolution,[],[f36,f14]) ).
fof(f45,plain,
! [X0] :
( ~ equalish(multiplicative_inverse(multiplicative_identity),X0)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f23,f28]) ).
fof(f77,plain,
( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity)
| ~ defined(multiplicative_inverse(multiplicative_identity)) ),
inference(resolution,[],[f45,f33]) ).
fof(f78,plain,
~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity),
inference(forward_subsumption_resolution,[],[f77,f38]) ).
fof(f107,plain,
( ~ defined(multiplicative_identity)
| equalish(multiplicative_identity,additive_identity) ),
inference(resolution,[],[f7,f78]) ).
fof(f111,plain,
equalish(multiplicative_identity,additive_identity),
inference(forward_subsumption_resolution,[],[f107,f14]) ).
fof(f114,plain,
equalish(additive_identity,multiplicative_identity),
inference(resolution,[],[f111,f22]) ).
fof(f115,plain,
$false,
inference(forward_subsumption_resolution,[],[f114,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD010-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:22:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.18/0.27 % (355681)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (355692)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=674079062:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.27 % (355687)% WARNING: option uhcvi not known.
% 0.18/0.27 % (355686)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1125945940_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.27 % (355687)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1239520814:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.27 % (355688)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4192994723:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.27 % (355689)dis+10_1_sil=32000:sp=arity:random_seed=387383050:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.27 % (355690)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2266431427:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.27 % (355691)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=327397638:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % TRYING [1]
% 0.18/0.27 % TRYING [2]
% 0.18/0.27 % TRYING [3]
% 0.18/0.27 % (355690) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-355681-355690"...
% 0.18/0.27 % (355689) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-355681-355689"...
% 0.18/0.27 % (355690)...printing done.
% 0.18/0.27 % (355690)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (355690)------------------------------
% 0.18/0.27 % (355690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (355690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (355690)CaDiCaL version: 2.1.3
% 0.18/0.27 % (355690)Termination reason: Refutation
% 0.18/0.27 % (355690)Time elapsed: 0.004 s
% 0.18/0.27 % (355690)Peak memory usage: 11 MB
% 0.18/0.27 % (355690)Instructions burned: 5 (million)
% 0.18/0.27 % (355681)Success in time 0.041 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------