%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD014-3 : 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 : 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 0.46s 0.30s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 69 ( 22 unt; 8 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 151 ( 79 ~; 64 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 9 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 35 ( 0 sgn 35 !; 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] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/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/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(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).
fof(f30,negated_conjecture,
~ sum(additive_identity,additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
fof(f44,plain,
~ sum(additive_inverse(a),additive_identity,additive_inverse(b)),
inference(resolution,[],[f5,f30]) ).
fof(f65,definition,
( spl0_1
<=> defined(additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f67,plain,
( ~ defined(additive_identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f77,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f67,f14]) ).
fof(f78,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ sum(additive_inverse(a),X0,X1)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X1,X2,additive_inverse(b)) ),
inference(resolution,[],[f1,f44]) ).
fof(f236,definition,
( spl0_20
<=> defined(additive_inverse(b)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f238,plain,
( ~ defined(additive_inverse(b))
| spl0_20 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f251,plain,
( ~ defined(b)
| spl0_20 ),
inference(resolution,[],[f238,f15]) ).
fof(f252,plain,
( $false
| spl0_20 ),
inference(resolution,[],[f251,f28]) ).
fof(f253,plain,
spl0_20,
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f461,plain,
! [X2,X0,X1] :
( ~ sum(X0,X2,additive_identity)
| ~ sum(X1,X2,additive_inverse(b))
| ~ sum(X0,additive_inverse(a),X1) ),
inference(resolution,[],[f224,f5]) ).
fof(f471,definition,
( spl0_32
<=> defined(a) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f473,plain,
( ~ defined(a)
| spl0_32 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f478,plain,
( $false
| spl0_32 ),
inference(resolution,[],[f473,f27]) ).
fof(f479,plain,
spl0_32,
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f768,plain,
! [X0] :
( ~ sum(X0,additive_inverse(b),additive_identity)
| ~ sum(X0,additive_inverse(a),additive_identity)
| ~ defined(additive_inverse(b)) ),
inference(resolution,[],[f461,f3]) ).
fof(f779,definition,
( spl0_46
<=> ! [X0] :
( ~ sum(X0,additive_inverse(b),additive_identity)
| ~ sum(X0,additive_inverse(a),additive_identity) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f780,plain,
( ! [X0] :
( ~ sum(X0,additive_inverse(b),additive_identity)
| ~ sum(X0,additive_inverse(a),additive_identity) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f781,plain,
( ~ spl0_20
| spl0_46 ),
inference(avatar_split_clause,[],[f768,f779,f236]) ).
fof(f785,plain,
( ! [X0] :
( ~ sum(X0,additive_inverse(a),additive_identity)
| ~ sum(additive_inverse(b),X0,additive_identity) )
| ~ spl0_46 ),
inference(resolution,[],[f780,f5]) ).
fof(f801,plain,
( ~ sum(b,additive_inverse(a),additive_identity)
| ~ defined(b)
| ~ spl0_46 ),
inference(resolution,[],[f785,f4]) ).
fof(f806,definition,
( spl0_48
<=> defined(b) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f808,plain,
( ~ defined(b)
| spl0_48 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f810,definition,
( spl0_49
<=> sum(b,additive_inverse(a),additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f812,plain,
( ~ sum(b,additive_inverse(a),additive_identity)
| spl0_49 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f813,plain,
( ~ spl0_48
| ~ spl0_49
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f801,f779,f810,f806]) ).
fof(f819,plain,
( $false
| spl0_48 ),
inference(resolution,[],[f808,f28]) ).
fof(f820,plain,
spl0_48,
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f821,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,b)
| ~ sum(X1,additive_inverse(a),X2)
| ~ sum(X0,X2,additive_identity) )
| spl0_49 ),
inference(resolution,[],[f812,f2]) ).
fof(f997,plain,
( ! [X0] :
( ~ sum(additive_identity,X0,b)
| ~ sum(X0,additive_inverse(a),additive_identity)
| ~ defined(additive_identity) )
| spl0_49 ),
inference(resolution,[],[f821,f3]) ).
fof(f1006,definition,
( spl0_58
<=> ! [X0] :
( ~ sum(additive_identity,X0,b)
| ~ sum(X0,additive_inverse(a),additive_identity) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f1007,plain,
( ! [X0] :
( ~ sum(additive_identity,X0,b)
| ~ sum(X0,additive_inverse(a),additive_identity) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1008,plain,
( ~ spl0_1
| spl0_58
| spl0_49 ),
inference(avatar_split_clause,[],[f997,f810,f1006,f65]) ).
fof(f1027,plain,
( ! [X0] :
( ~ sum(additive_inverse(a),X0,additive_identity)
| ~ sum(additive_identity,X0,b) )
| ~ spl0_58 ),
inference(resolution,[],[f1007,f5]) ).
fof(f1043,plain,
( ~ sum(additive_identity,a,b)
| ~ defined(a)
| ~ spl0_58 ),
inference(resolution,[],[f1027,f4]) ).
fof(f1048,definition,
( spl0_63
<=> sum(additive_identity,a,b) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f1050,plain,
( ~ sum(additive_identity,a,b)
| spl0_63 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1051,plain,
( ~ spl0_32
| ~ spl0_63
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1043,f1006,f1048,f471]) ).
fof(f1052,plain,
( $false
| spl0_63 ),
inference(resolution,[],[f1050,f29]) ).
fof(f1056,plain,
spl0_63,
inference(avatar_contradiction_clause,[],[f1052]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f78]) ).
cnf(s24,plain,
spl0_20,
inference(sat_conversion,[],[f253]) ).
cnf(s35,plain,
spl0_32,
inference(sat_conversion,[],[f479]) ).
cnf(s47,plain,
( ~ spl0_20
| spl0_46 ),
inference(sat_conversion,[],[f781]) ).
cnf(s49,plain,
( ~ spl0_46
| ~ spl0_48
| ~ spl0_49 ),
inference(sat_conversion,[],[f813]) ).
cnf(s51,plain,
spl0_48,
inference(sat_conversion,[],[f820]) ).
cnf(s58,plain,
( ~ spl0_1
| spl0_49
| spl0_58 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s63,plain,
( ~ spl0_32
| ~ spl0_58
| ~ spl0_63 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s64,plain,
spl0_63,
inference(sat_conversion,[],[f1056]) ).
cnf(s65,plain,
( ~ spl0_32
| ~ spl0_58 ),
inference(rat,[],[s63,s64]) ).
cnf(s66,plain,
( ~ spl0_46
| ~ spl0_49 ),
inference(rat,[],[s49,s51]) ).
cnf(s67,plain,
~ spl0_58,
inference(rat,[],[s65,s35]) ).
cnf(s81,plain,
spl0_46,
inference(rat,[],[s47,s24]) ).
cnf(s86,plain,
~ spl0_49,
inference(rat,[],[s66,s81]) ).
cnf(s91,plain,
~ spl0_1,
inference(rat,[],[s58,s67,s86]) ).
cnf(s94,plain,
$false,
inference(rat,[],[s4,s91]) ).
fof(f1057,plain,
$false,
inference(avatar_sat_refutation,[],[s94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD014-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.18 % Computer : n001.cluster.edu
% 0.13/0.18 % Model : x86_64 x86_64
% 0.13/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18 % Memory : 8046.5625MB
% 0.13/0.18 % OS : Linux 6.8.0-71-generic
% 0.13/0.18 % CPULimit : 300
% 0.13/0.18 % WCLimit : 300
% 0.13/0.18 % DateTime : Tue Sep 29 00:32:19 UTC 2026
% 0.13/0.19 % CPUTime :
% 0.13/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.21 Running first-order model finding
% 0.13/0.21 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
% 0.46/0.30 % (903711)Will run a generic schedule for satisfiability detection.
% 0.46/0.30 % (903721)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=137705100:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.46/0.30 % (903717)% WARNING: option uhcvi not known.
% 0.46/0.30 % (903716)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1762909936_2999 on theBenchmark for (2999ds/0Mi)
% 0.46/0.30 % (903719)dis+10_1_sil=32000:sp=arity:random_seed=4083521298:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.46/0.30 % (903717)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1631070439:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.46/0.30 % (903718)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2553736023:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.46/0.30 % (903720)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3343588077:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.46/0.30 % (903722)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1740260559:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.46/0.30 % TRYING [1]
% 0.46/0.30 % TRYING [2]
% 0.46/0.30 % TRYING [3]
% 0.46/0.30 % TRYING [4]
% 0.46/0.30 % (903721)Instruction limit reached!
% 0.46/0.30 % (903721)------------------------------
% 0.46/0.30 % (903721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.30 % (903721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.30 % (903721)CaDiCaL version: 2.1.3
% 0.46/0.30 % (903721)Termination reason: Instruction limit
% 0.46/0.30 % (903721)Termination phase: Saturation
% 0.46/0.30 % (903721)Time elapsed: 0.044 s
% 0.46/0.30 % (903721)Peak memory usage: 15 MB
% 0.46/0.30 % (903721)Instructions burned: 132 (million)
% 0.46/0.30 % (903722) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-903711-903722"...
% 0.46/0.30 % (903722)...printing done.
% 0.46/0.30 % (903722)Refutation found. Thanks to Tanya!
% 0.46/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.46/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.30 % (903722)------------------------------
% 0.46/0.30 % (903722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.30 % (903722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.30 % (903722)CaDiCaL version: 2.1.3
% 0.46/0.30 % (903722)Termination reason: Refutation
% 0.46/0.30 % (903722)Time elapsed: 0.037 s
% 0.46/0.30 % (903722)Peak memory usage: 13 MB
% 0.46/0.30 % (903722)Instructions burned: 55 (million)
% 0.46/0.30 % (903711)Success in time 0.075 s
% 0.46/0.30 % Vampire exiting
%------------------------------------------------------------------------------