%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD067-4 : 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 : n001.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 09:49:48 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f30,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f31,negated_conjecture,
sum(b,additive_inverse(a),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_6) ).
fof(f35,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f5,f4]) ).
fof(f96,plain,
! [X0,X1] :
( ~ sum(X0,additive_inverse(a),X1)
| ~ less_or_equal(X0,b)
| less_or_equal(X1,u) ),
inference(resolution,[],[f24,f31]) ).
fof(f97,plain,
( ~ less_or_equal(a,b)
| less_or_equal(additive_identity,u)
| ~ defined(a) ),
inference(resolution,[],[f96,f35]) ).
fof(f136,plain,
( less_or_equal(additive_identity,u)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f97,f30]) ).
fof(f147,plain,
~ defined(a),
inference(forward_subsumption_resolution,[],[f136,f32]) ).
fof(f148,plain,
$false,
inference(forward_subsumption_resolution,[],[f147,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD067-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n001.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 00:54:20 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.21/0.29 % (915504)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (915513)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3216837812:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (915510)% WARNING: option uhcvi not known.
% 0.21/0.29 % (915509)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2126508905_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (915510)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1480702440:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (915515)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=317792966:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % (915511)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3988125462:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (915512)dis+10_1_sil=32000:sp=arity:random_seed=617884081:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (915514)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3642462425:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % TRYING [1]
% 0.21/0.29 % TRYING [2]
% 0.21/0.29 % (915512) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-915504-915512"...
% 0.21/0.29 % TRYING [3]
% 0.21/0.29 % (915512)...printing done.
% 0.21/0.29 % (915512)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (915512)------------------------------
% 0.21/0.29 % (915512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (915512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (915512)CaDiCaL version: 2.1.3
% 0.21/0.29 % (915512)Termination reason: Refutation
% 0.21/0.29 % (915512)Time elapsed: 0.003 s
% 0.21/0.29 % (915512)Peak memory usage: 11 MB
% 0.21/0.29 % (915512)Instructions burned: 3 (million)
% 0.21/0.29 % (915504)Success in time 0.045 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------