%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD013-4 : 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 : n003.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 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ 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(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(f31,axiom,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
fof(f32,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).
fof(f34,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_8) ).
fof(f35,negated_conjecture,
~ sum(d,b,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_9) ).
fof(f49,plain,
sum(additive_identity,u,u),
inference(resolution,[],[f3,f31]) ).
fof(f78,plain,
sum(c,a,u),
inference(resolution,[],[f5,f34]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ sum(a,X0,X2)
| sum(b,X0,X1)
| ~ sum(additive_identity,X2,X1) ),
inference(resolution,[],[f2,f32]) ).
fof(f346,plain,
! [X2,X0,X1] :
( ~ sum(c,X0,X2)
| sum(d,X0,X1)
| ~ sum(additive_identity,X2,X1) ),
inference(resolution,[],[f2,f33]) ).
fof(f356,plain,
! [X0] :
( ~ sum(additive_identity,u,X0)
| sum(d,a,X0) ),
inference(resolution,[],[f346,f78]) ).
fof(f359,plain,
sum(d,a,u),
inference(resolution,[],[f49,f356]) ).
fof(f367,plain,
sum(a,d,u),
inference(resolution,[],[f359,f5]) ).
fof(f382,plain,
! [X0] :
( ~ sum(additive_identity,u,X0)
| sum(b,d,X0) ),
inference(resolution,[],[f367,f343]) ).
fof(f457,plain,
sum(b,d,u),
inference(resolution,[],[f382,f49]) ).
fof(f467,plain,
sum(d,b,u),
inference(resolution,[],[f457,f5]) ).
fof(f468,plain,
$false,
inference(forward_subsumption_resolution,[],[f467,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD013-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n003.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 00:28:08 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.25 % (2180788)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (2180794)% WARNING: option uhcvi not known.
% 0.07/0.25 % (2180794)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1418552438:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (2180793)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=648063903_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.25 % (2180795)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=435222333:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.25 % (2180796)dis+10_1_sil=32000:sp=arity:random_seed=2281165849:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.25 % (2180799)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3704152096:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.25 % (2180797)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=255736839:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % (2180798)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1157591696:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.25 % TRYING [1]
% 0.07/0.25 % TRYING [2]
% 0.07/0.25 % TRYING [3]
% 0.07/0.25 % (2180798) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2180788-2180798"...
% 0.07/0.25 % (2180798)...printing done.
% 0.07/0.25 % (2180798)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (2180798)------------------------------
% 0.07/0.25 % (2180798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (2180798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (2180798)CaDiCaL version: 2.1.3
% 0.07/0.25 % (2180798)Termination reason: Refutation
% 0.07/0.25 % (2180798)Time elapsed: 0.007 s
% 0.07/0.25 % (2180798)Peak memory usage: 11 MB
% 0.07/0.25 % (2180798)Instructions burned: 11 (million)
% 0.07/0.25 % (2180788)Success in time 0.048 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------