%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD013-3 : 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 : 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 09:49:33 AM UTC 2026
% Result : Unsatisfiable 0.31s 0.44s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 29 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f31,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
~ sum(a,c,add(d,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f34,plain,
sum(a,additive_identity,b),
inference(resolution,[],[f5,f31]) ).
fof(f36,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f45,plain,
! [X0,X1] :
( sum(X1,X0,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f19,f5]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ sum(X0,d,X2)
| sum(X1,c,X2)
| ~ sum(X0,additive_identity,X1) ),
inference(resolution,[],[f2,f32]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X1,X2,X3)
| ~ sum(X0,X2,X3)
| ~ defined(X2) ),
inference(resolution,[],[f2,f3]) ).
fof(f323,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(d)
| sum(X1,c,add(d,X0))
| ~ sum(X0,additive_identity,X1) ),
inference(resolution,[],[f45,f151]) ).
fof(f324,plain,
! [X0,X1] :
( sum(X1,c,add(d,X0))
| ~ defined(X0)
| ~ sum(X0,additive_identity,X1) ),
inference(forward_subsumption_resolution,[],[f323,f30]) ).
fof(f478,plain,
! [X0,X1] :
( ~ sum(a,X0,X1)
| sum(b,X0,X1)
| ~ defined(X0) ),
inference(resolution,[],[f152,f34]) ).
fof(f1555,plain,
( sum(b,additive_identity,a)
| ~ defined(additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f478,f36]) ).
fof(f1567,plain,
( sum(b,additive_identity,a)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f1555,f14]) ).
fof(f1569,plain,
sum(b,additive_identity,a),
inference(forward_subsumption_resolution,[],[f1567,f27]) ).
fof(f1847,plain,
( ~ defined(b)
| ~ sum(b,additive_identity,a) ),
inference(resolution,[],[f324,f33]) ).
fof(f1852,plain,
~ sum(b,additive_identity,a),
inference(forward_subsumption_resolution,[],[f1847,f28]) ).
fof(f1857,plain,
$false,
inference(forward_subsumption_resolution,[],[f1852,f1569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD013-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.28 % Computer : n001.cluster.edu
% 0.24/0.28 % Model : x86_64 x86_64
% 0.24/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.28 % Memory : 8046.5625MB
% 0.24/0.28 % OS : Linux 6.8.0-71-generic
% 0.24/0.28 % CPULimit : 300
% 0.24/0.28 % WCLimit : 300
% 0.24/0.28 % DateTime : Tue Sep 29 00:31:04 UTC 2026
% 0.24/0.29 % CPUTime :
% 0.24/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.33 Running first-order model finding
% 0.24/0.33 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
% 0.31/0.44 % (902085)Will run a generic schedule for satisfiability detection.
% 0.31/0.44 % (902091)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=103727780_2999 on theBenchmark for (2999ds/0Mi)
% 0.31/0.44 % TRYING [1]
% 0.31/0.44 % TRYING [2]
% 0.31/0.44 % TRYING [3]
% 0.31/0.44 % (902092)% WARNING: option uhcvi not known.
% 0.31/0.44 % TRYING [4]
% 0.31/0.44 % (902096)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1936717786:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.31/0.44 % (902092)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1893572912:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.31/0.44 % (902093)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=313823805:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.31/0.44 % (902094)dis+10_1_sil=32000:sp=arity:random_seed=889107251:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.31/0.44 % (902095)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2377593828:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.31/0.44 % (902097)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1881445501:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.31/0.44 % (902094) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-902085-902094"...
% 0.31/0.44 % (902094)...printing done.
% 0.31/0.44 % (902094)Refutation found. Thanks to Tanya!
% 0.31/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.31/0.44 % (902094)------------------------------
% 0.31/0.44 % (902094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (902094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (902094)CaDiCaL version: 2.1.3
% 0.31/0.44 % (902094)Termination reason: Refutation
% 0.31/0.44 % (902094)Time elapsed: 0.050 s
% 0.31/0.44 % (902094)Peak memory usage: 12 MB
% 0.31/0.44 % (902094)Instructions burned: 48 (million)
% 0.31/0.44 % (902085)Success in time 0.093 s
% 0.31/0.44 % Vampire exiting
%------------------------------------------------------------------------------