TSTP Solution File: FLD007-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD007-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:06:34 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 49 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 21 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f393,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f392]) ).
fof(f392,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f389,f31]) ).
fof(f31,plain,
~ sum(additive_identity,sF1,a),
inference(definition_folding,[],[f28,f30,f29]) ).
fof(f29,plain,
additive_inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f30,plain,
sF1 = additive_inverse(sF0),
introduced(function_definition,[]) ).
fof(f28,axiom,
~ sum(additive_identity,additive_inverse(additive_inverse(a)),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).
fof(f389,plain,
( sum(additive_identity,sF1,a)
| ~ spl2_2 ),
inference(resolution,[],[f378,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f378,plain,
( sum(sF1,additive_identity,a)
| ~ spl2_2 ),
inference(resolution,[],[f366,f47]) ).
fof(f47,plain,
( sum(sF1,sF0,additive_identity)
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f46,f40]) ).
fof(f40,plain,
( defined(sF0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl2_2
<=> defined(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f46,plain,
( ~ defined(sF0)
| sum(sF1,sF0,additive_identity) ),
inference(superposition,[],[f4,f30]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f366,plain,
! [X20] :
( ~ sum(X20,sF0,additive_identity)
| sum(X20,additive_identity,a) ),
inference(subsumption_resolution,[],[f358,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f358,plain,
! [X20] :
( sum(X20,additive_identity,a)
| ~ defined(a)
| ~ sum(X20,sF0,additive_identity) ),
inference(resolution,[],[f136,f48]) ).
fof(f48,plain,
sum(sF0,a,additive_identity),
inference(subsumption_resolution,[],[f45,f27]) ).
fof(f45,plain,
( sum(sF0,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[],[f4,f29]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X3,X2)
| sum(X0,X2,X3)
| ~ sum(X0,X1,additive_identity)
| ~ defined(X3) ),
inference(resolution,[],[f1,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f44,plain,
spl2_2,
inference(avatar_split_clause,[],[f43,f39]) ).
fof(f43,plain,
defined(sF0),
inference(subsumption_resolution,[],[f32,f27]) ).
fof(f32,plain,
( ~ defined(a)
| defined(sF0) ),
inference(superposition,[],[f15,f29]) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD007-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 20:33:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 % (16162)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.48 TRYING [1]
% 0.21/0.48 TRYING [2]
% 0.21/0.48 TRYING [3]
% 0.21/0.48 % (16173)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.49 % (16170)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.49 % (16170)Instruction limit reached!
% 0.21/0.49 % (16170)------------------------------
% 0.21/0.49 % (16170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (16170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (16170)Termination reason: Unknown
% 0.21/0.49 % (16170)Termination phase: Blocked clause elimination
% 0.21/0.49
% 0.21/0.49 % (16170)Memory used [KB]: 895
% 0.21/0.49 % (16170)Time elapsed: 0.002 s
% 0.21/0.49 % (16170)Instructions burned: 2 (million)
% 0.21/0.49 % (16170)------------------------------
% 0.21/0.49 % (16170)------------------------------
% 0.21/0.49 % (16165)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.49 % (16186)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.50 % (16163)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.50 % (16185)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.50 % (16172)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.50 % (16191)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.50 % (16180)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (16178)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (16164)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (16177)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.51 % (16167)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.51 TRYING [4]
% 0.21/0.51 % (16175)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (16174)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51 % (16176)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (16163)Refutation not found, incomplete strategy% (16163)------------------------------
% 0.21/0.51 % (16163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (16163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (16163)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (16163)Memory used [KB]: 5373
% 0.21/0.51 % (16163)Time elapsed: 0.109 s
% 0.21/0.51 % (16163)Instructions burned: 1 (million)
% 0.21/0.51 % (16163)------------------------------
% 0.21/0.51 % (16163)------------------------------
% 0.21/0.52 % (16186)First to succeed.
% 0.21/0.52 % (16186)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (16186)------------------------------
% 0.21/0.52 % (16186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (16186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (16186)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (16186)Memory used [KB]: 5628
% 0.21/0.52 % (16186)Time elapsed: 0.117 s
% 0.21/0.52 % (16186)Instructions burned: 18 (million)
% 0.21/0.52 % (16186)------------------------------
% 0.21/0.52 % (16186)------------------------------
% 0.21/0.52 % (16161)Success in time 0.163 s
%------------------------------------------------------------------------------