%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD007-3 : 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 : n006.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 09:49:31 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.34s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 10 unt; 2 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 27 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 29 ( 0 sgn 29 !; 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/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
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(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,negated_conjecture,
~ sum(additive_identity,additive_inverse(additive_inverse(a)),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,X4)
| sum(X3,X5,X1)
| sum(X4,X5,X2) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f31,plain,
! [X0] :
( ~ sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f32,plain,
! [X0] :
( ~ sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f50,plain,
sum(additive_identity,additive_inverse(additive_inverse(a)),a),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f51,plain,
sum(additive_inverse(additive_inverse(a)),additive_identity,a),
inference(resolution,[],[f33,f50]) ).
fof(f85,plain,
! [X2,X0,X1] :
( sum(additive_inverse(additive_inverse(a)),X0,X1)
| sum(X0,X2,additive_identity)
| sum(X1,X2,a) ),
inference(resolution,[],[f29,f51]) ).
fof(f395,plain,
! [X0] :
( sum(additive_inverse(a),X0,additive_identity)
| sum(additive_identity,X0,a)
| ~ defined(additive_inverse(a)) ),
inference(resolution,[],[f85,f32]) ).
fof(f416,definition,
( spl0_25
<=> defined(additive_inverse(a)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f418,plain,
( ~ defined(additive_inverse(a))
| spl0_25 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f420,definition,
( spl0_26
<=> ! [X0] :
( sum(additive_inverse(a),X0,additive_identity)
| sum(additive_identity,X0,a) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f421,plain,
( ! [X0] :
( sum(additive_inverse(a),X0,additive_identity)
| sum(additive_identity,X0,a) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( ~ spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f395,f420,f416]) ).
fof(f509,plain,
( ~ defined(a)
| spl0_25 ),
inference(resolution,[],[f418,f15]) ).
fof(f510,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f509,f27]) ).
fof(f511,plain,
spl0_25,
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f1766,plain,
( sum(additive_identity,a,a)
| ~ defined(a)
| ~ spl0_26 ),
inference(resolution,[],[f421,f32]) ).
fof(f1771,plain,
( ~ defined(a)
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1766,f31]) ).
fof(f1772,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1771,f27]) ).
fof(f1773,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f1772]) ).
cnf(s21,plain,
( ~ spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f422]) ).
cnf(s23,plain,
spl0_25,
inference(sat_conversion,[],[f511]) ).
cnf(s42,plain,
~ spl0_26,
inference(sat_conversion,[],[f1773]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s21,s42,s23]) ).
fof(f1774,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD007-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:22:10 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.34 % (355260)Will run a generic schedule for satisfiability detection.
% 0.19/0.34 % (355270)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2221356844:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.34 % (355266)% WARNING: option uhcvi not known.
% 0.19/0.34 % (355267)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2579074127:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.34 % (355265)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=105791727_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.34 % (355266)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3126552427:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.34 % (355268)dis+10_1_sil=32000:sp=arity:random_seed=1821412224:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.34 % (355269)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3933339477:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.34 % (355271)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3906539716:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.34 % TRYING [1]
% 0.19/0.34 % TRYING [2]
% 0.19/0.34 % TRYING [3]
% 0.19/0.34 % TRYING [4]
% 0.19/0.34 % TRYING [5]
% 0.19/0.34 % (355270)Instruction limit reached!
% 0.19/0.34 % (355270)------------------------------
% 0.19/0.34 % (355270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (355270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (355270)CaDiCaL version: 2.1.3
% 0.19/0.34 % (355270)Termination reason: Instruction limit
% 0.19/0.34 % (355270)Termination phase: Saturation
% 0.19/0.34 % (355270)Time elapsed: 0.041 s
% 0.19/0.34 % (355270)Peak memory usage: 15 MB
% 0.19/0.34 % (355270)Instructions burned: 134 (million)
% 0.19/0.34 % (355279)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3247590288:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.34 % TRYING [1]
% 0.19/0.34 % TRYING [2]
% 0.19/0.34 % TRYING [3]
% 0.19/0.34 % TRYING [4]
% 0.19/0.34 % (355266) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-355260-355266"...
% 0.19/0.34 % TRYING [5]
% 0.19/0.34 % (355266)...printing done.
% 0.19/0.34 % (355269)Instruction limit reached!
% 0.19/0.34 % (355269)------------------------------
% 0.19/0.34 % (355269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (355269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (355266)Refutation found. Thanks to Tanya!
% 0.19/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.34 % (355266)------------------------------
% 0.19/0.34 % (355266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (355266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (355266)CaDiCaL version: 2.1.3
% 0.19/0.34 % (355266)Termination reason: Refutation
% 0.19/0.34 % (355266)Time elapsed: 0.059 s
% 0.19/0.34 % (355266)Peak memory usage: 12 MB
% 0.19/0.34 % (355266)Instructions burned: 110 (million)
% 0.19/0.34 % (355260)Success in time 0.101 s
% 0.19/0.34 % Vampire exiting
%------------------------------------------------------------------------------