%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD067-1 : 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 : n013.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 09:49:47 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 15 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
fof(f19,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1)
| ~ equalish(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f30,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f31,negated_conjecture,
~ less_or_equal(additive_identity,add(b,additive_inverse(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_4) ).
fof(f34,plain,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f43,plain,
! [X0] :
( ~ defined(additive_inverse(X0))
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f48,plain,
! [X2,X0,X1] :
( less_or_equal(add(X0,X1),add(X2,X1))
| defined(X1)
| ~ less_or_equal(X0,X2) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f52,plain,
~ defined(a),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X1,X0),X3)
| ~ less_or_equal(X1,X2)
| less_or_equal(X3,add(X2,X0))
| defined(X0) ),
inference(resolution,[],[f48,f26]) ).
fof(f445,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| less_or_equal(additive_identity,add(X1,additive_inverse(X0)))
| defined(additive_inverse(X0))
| defined(X0) ),
inference(resolution,[],[f94,f34]) ).
fof(f453,plain,
! [X0,X1] :
( less_or_equal(additive_identity,add(X1,additive_inverse(X0)))
| ~ less_or_equal(X0,X1)
| defined(X0) ),
inference(forward_subsumption_resolution,[],[f445,f43]) ).
fof(f1198,plain,
( ~ less_or_equal(a,b)
| defined(a) ),
inference(resolution,[],[f453,f31]) ).
fof(f1209,plain,
defined(a),
inference(forward_subsumption_resolution,[],[f1198,f30]) ).
fof(f1210,plain,
$false,
inference(forward_subsumption_resolution,[],[f1209,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD067-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 00:47:51 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.18/0.28 % (1756085)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (1756092)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2143861064:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (1756091)% WARNING: option uhcvi not known.
% 0.18/0.28 % (1756090)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3344194797_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % (1756095)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=123807173:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % (1756091)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2715249839:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (1756093)dis+10_1_sil=32000:sp=arity:random_seed=2491778617:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (1756094)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=175435315:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (1756096)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=966657783:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % TRYING [1]
% 0.18/0.28 % TRYING [2]
% 0.18/0.28 % TRYING [3]
% 0.18/0.28 % TRYING [4]
% 0.18/0.28 % (1756091) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1756085-1756091"...
% 0.18/0.28 % (1756091)...printing done.
% 0.18/0.28 % (1756091)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.28 % (1756091)------------------------------
% 0.18/0.28 % (1756091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (1756091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (1756091)CaDiCaL version: 2.1.3
% 0.18/0.28 % (1756091)Termination reason: Refutation
% 0.18/0.28 % (1756091)Time elapsed: 0.021 s
% 0.18/0.28 % (1756091)Peak memory usage: 12 MB
% 0.18/0.28 % (1756091)Instructions burned: 29 (million)
% 0.18/0.28 % (1756085)Success in time 0.06 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------