%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD018-3 : 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 : n008.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 09:49:34 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,negated_conjecture,
sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_2) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f33,plain,
sum(additive_identity,a,a),
inference(resolution,[],[f3,f27]) ).
fof(f34,plain,
sum(additive_inverse(additive_identity),additive_identity,additive_identity),
inference(resolution,[],[f4,f14]) ).
fof(f37,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[],[f4,f27]) ).
fof(f41,plain,
sum(a,additive_inverse(a),additive_identity),
inference(resolution,[],[f37,f5]) ).
fof(f167,plain,
! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X2,a,X1) ),
inference(resolution,[],[f1,f28]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X1,additive_inverse(a),X2)
| ~ sum(X0,X2,additive_identity) ),
inference(resolution,[],[f2,f29]) ).
fof(f411,plain,
! [X0] :
( sum(X0,a,additive_identity)
| ~ sum(X0,additive_identity,additive_identity) ),
inference(resolution,[],[f167,f33]) ).
fof(f567,plain,
! [X0] :
( ~ sum(X0,a,additive_identity)
| ~ sum(X0,additive_identity,additive_identity) ),
inference(resolution,[],[f195,f41]) ).
fof(f580,plain,
! [X0] : ~ sum(X0,additive_identity,additive_identity),
inference(forward_subsumption_resolution,[],[f567,f411]) ).
fof(f588,plain,
$false,
inference(resolution,[],[f580,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD018-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:28:39 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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 % (2811468)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (2811477)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1331091625:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (2811474)% WARNING: option uhcvi not known.
% 0.21/0.29 % (2811473)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3484588191_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (2811478)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3252116706:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (2811474)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1330915619:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (2811475)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=306699261:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (2811476)dis+10_1_sil=32000:sp=arity:random_seed=491330607:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (2811479)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2755241306:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % TRYING [1]
% 0.21/0.29 % TRYING [2]
% 0.21/0.29 % TRYING [3]
% 0.21/0.29 % TRYING [4]
% 0.21/0.29 % (2811477) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2811468-2811477"...
% 0.21/0.29 % (2811477)...printing done.
% 0.21/0.29 % (2811477)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 % (2811477)------------------------------
% 0.21/0.29 % (2811477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (2811477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (2811477)CaDiCaL version: 2.1.3
% 0.21/0.29 % (2811477)Termination reason: Refutation
% 0.21/0.29 % (2811477)Time elapsed: 0.022 s
% 0.21/0.29 % (2811477)Peak memory usage: 12 MB
% 0.21/0.29 % (2811477)Instructions burned: 74 (million)
% 0.21/0.29 % (2811468)Success in time 0.051 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------