%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD030-1 : 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 : n026.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 0.11s 0.26s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_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(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f31,negated_conjecture,
equalish(a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_d_4) ).
fof(f32,negated_conjecture,
~ equalish(multiply(d,b),multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_multiply_5) ).
fof(f45,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(consistent_polarity_flipping,[],[f22]) ).
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,d),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f52,plain,
equalish(multiply(d,b),multiply(a,b)),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f53,plain,
equalish(multiply(a,b),multiply(d,b)),
inference(resolution,[],[f45,f52]) ).
fof(f121,plain,
( ~ defined(b)
| equalish(a,d) ),
inference(resolution,[],[f48,f53]) ).
fof(f126,plain,
equalish(a,d),
inference(forward_subsumption_resolution,[],[f121,f29]) ).
fof(f128,plain,
$false,
inference(forward_subsumption_resolution,[],[f126,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.18 % Computer : n026.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 00:32:27 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 Running first-order model finding
% 0.11/0.21 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
% 0.11/0.26 % (248766)Will run a generic schedule for satisfiability detection.
% 0.11/0.26 % (248772)% WARNING: option uhcvi not known.
% 0.11/0.26 % (248771)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2506939244_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.26 % (248777)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1830946931:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.26 % (248772)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1989276456:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.26 % (248773)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3370069739:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.26 % (248775)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2537888399:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.26 % (248774)dis+10_1_sil=32000:sp=arity:random_seed=1155834678:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.26 % (248776)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1421357119:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.26 % TRYING [1]
% 0.11/0.26 % TRYING [2]
% 0.11/0.26 % (248772) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-248766-248772"...
% 0.11/0.26 % (248774) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-248766-248774"...
% 0.11/0.26 % TRYING [3]
% 0.11/0.26 % (248772)...printing done.
% 0.11/0.26 % (248774)...printing done.
% 0.11/0.26 % (248772)Refutation found. Thanks to Tanya!
% 0.11/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.26 % (248772)------------------------------
% 0.11/0.26 % (248772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.26 % (248772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.26 % (248772)CaDiCaL version: 2.1.3
% 0.11/0.26 % (248772)Termination reason: Refutation
% 0.11/0.26 % (248772)Time elapsed: 0.003 s
% 0.11/0.26 % (248772)Peak memory usage: 11 MB
% 0.11/0.26 % (248772)Instructions burned: 2 (million)
% 0.11/0.26 % (248766)Success in time 0.036 s
% 0.11/0.26 % Vampire exiting
%------------------------------------------------------------------------------