%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD058-1 : 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 : 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 09:49:45 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 14 unt; 2 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 23 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',antisymmetry_of_order_relation) ).
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(f26,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X1)
| ~ equalish(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f31,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f32,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_5) ).
fof(f33,negated_conjecture,
equalish(b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_equals_additive_identity_6) ).
fof(f49,plain,
! [X0,X1] :
( ~ less_or_equal(X1,X0)
| ~ less_or_equal(X0,X1)
| ~ equalish(X0,X1) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f53,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| equalish(X0,X2)
| equalish(X2,X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1)
| equalish(X2,X0) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f61,plain,
equalish(a,additive_identity),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f62,plain,
~ equalish(b,additive_identity),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f70,plain,
( ~ less_or_equal(b,a)
| ~ equalish(b,a) ),
inference(resolution,[],[f49,f31]) ).
fof(f72,definition,
( spl0_1
<=> equalish(b,a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f76,definition,
( spl0_2
<=> less_or_equal(b,a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f78,plain,
( ~ less_or_equal(b,a)
| spl0_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f70,f76,f72]) ).
fof(f81,plain,
! [X0] :
( equalish(a,X0)
| equalish(X0,additive_identity) ),
inference(resolution,[],[f54,f61]) ).
fof(f85,plain,
! [X0] :
( less_or_equal(X0,a)
| equalish(additive_identity,X0) ),
inference(resolution,[],[f57,f30]) ).
fof(f115,plain,
equalish(a,b),
inference(resolution,[],[f81,f62]) ).
fof(f119,plain,
equalish(b,a),
inference(resolution,[],[f115,f53]) ).
fof(f122,plain,
spl0_1,
inference(avatar_split_clause,[],[f119,f72]) ).
fof(f135,plain,
( equalish(additive_identity,b)
| spl0_2 ),
inference(resolution,[],[f85,f78]) ).
fof(f144,plain,
( equalish(b,additive_identity)
| spl0_2 ),
inference(resolution,[],[f135,f53]) ).
fof(f145,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f144,f62]) ).
fof(f146,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f145]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f79]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f122]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f146]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f147,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD058-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n006.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 00:43:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.19/0.26 % (365959)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (365965)% WARNING: option uhcvi not known.
% 0.19/0.26 % (365965)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2926436273:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.26 % (365965) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-365959-365965"...
% 0.19/0.26 % (365965)...printing done.
% 0.19/0.26 % (365965)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (365965)------------------------------
% 0.19/0.26 % (365965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (365965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (365965)CaDiCaL version: 2.1.3
% 0.19/0.26 % (365965)Termination reason: Refutation
% 0.19/0.26 % (365965)Time elapsed: 0.002 s
% 0.19/0.26 % (365965)Peak memory usage: 12 MB
% 0.19/0.26 % (365965)Instructions burned: 3 (million)
% 0.19/0.26 % (365959)Success in time 0.031 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------