TSTP Solution File: FLD014-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD014-3 : 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 : n023.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 16:06:38 EDT 2022
% Result : Unsatisfiable 2.15s 0.62s
% Output : Refutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 37 ( 25 unt; 0 def)
% Number of atoms : 56 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f474,plain,
$false,
inference(subsumption_resolution,[],[f463,f33]) ).
fof(f33,plain,
~ sum(additive_identity,sF0,sF1),
inference(definition_folding,[],[f30,f32,f31]) ).
fof(f31,plain,
additive_inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f32,plain,
additive_inverse(b) = sF1,
introduced(function_definition,[]) ).
fof(f30,axiom,
~ sum(additive_identity,additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
fof(f463,plain,
sum(additive_identity,sF0,sF1),
inference(resolution,[],[f462,f414]) ).
fof(f414,plain,
! [X12] :
( ~ sum(additive_identity,sF1,X12)
| sum(additive_identity,X12,sF1) ),
inference(resolution,[],[f87,f47]) ).
fof(f47,plain,
sum(additive_identity,sF1,sF1),
inference(resolution,[],[f3,f38]) ).
fof(f38,plain,
defined(sF1),
inference(forward_demodulation,[],[f37,f32]) ).
fof(f37,plain,
defined(additive_inverse(b)),
inference(resolution,[],[f15,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f15,axiom,
! [X0] :
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f87,plain,
! [X3,X4,X5] :
( ~ sum(additive_identity,X3,X4)
| sum(additive_identity,X5,X4)
| ~ sum(additive_identity,X3,X5) ),
inference(resolution,[],[f42,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X4)
| ~ sum(X4,X5,X2)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f42,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(resolution,[],[f3,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f462,plain,
sum(additive_identity,sF1,sF0),
inference(resolution,[],[f458,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f458,plain,
sum(sF1,additive_identity,sF0),
inference(resolution,[],[f342,f46]) ).
fof(f46,plain,
sum(additive_identity,sF0,sF0),
inference(resolution,[],[f3,f39]) ).
fof(f39,plain,
defined(sF0),
inference(forward_demodulation,[],[f36,f31]) ).
fof(f36,plain,
defined(additive_inverse(a)),
inference(resolution,[],[f15,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f342,plain,
! [X3] :
( ~ sum(additive_identity,sF0,X3)
| sum(sF1,additive_identity,X3) ),
inference(resolution,[],[f76,f251]) ).
fof(f251,plain,
sum(b,sF0,additive_identity),
inference(resolution,[],[f148,f79]) ).
fof(f79,plain,
sum(a,sF0,additive_identity),
inference(resolution,[],[f67,f5]) ).
fof(f67,plain,
sum(sF0,a,additive_identity),
inference(forward_demodulation,[],[f62,f31]) ).
fof(f62,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[],[f4,f27]) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f148,plain,
! [X0] :
( ~ sum(a,X0,additive_identity)
| sum(b,X0,additive_identity) ),
inference(resolution,[],[f80,f42]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ sum(additive_identity,X2,X1)
| ~ sum(a,X0,X2)
| sum(b,X0,X1) ),
inference(resolution,[],[f2,f29]) ).
fof(f29,axiom,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X4)
| sum(X4,X5,X2)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ sum(b,X0,X2)
| ~ sum(additive_identity,X0,X1)
| sum(sF1,X2,X1) ),
inference(resolution,[],[f66,f1]) ).
fof(f66,plain,
sum(sF1,b,additive_identity),
inference(forward_demodulation,[],[f63,f32]) ).
fof(f63,plain,
sum(additive_inverse(b),b,additive_identity),
inference(resolution,[],[f4,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : FLD014-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.17/0.33 % Computer : n023.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon Aug 29 20:55:50 EDT 2022
% 0.17/0.33 % CPUTime :
% 0.17/0.48 % (22641)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.48 % (22642)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.49 % (22640)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49 TRYING [1]
% 0.17/0.50 % (22641)Instruction limit reached!
% 0.17/0.50 % (22641)------------------------------
% 0.17/0.50 % (22641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (22656)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.50 TRYING [2]
% 0.17/0.50 % (22657)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)
% 0.17/0.50 % (22658)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.50 % (22641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (22641)Termination reason: Unknown
% 0.17/0.50 % (22641)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (22641)Memory used [KB]: 5500
% 0.17/0.50 % (22641)Time elapsed: 0.107 s
% 0.17/0.50 % (22641)Instructions burned: 7 (million)
% 0.17/0.50 % (22641)------------------------------
% 0.17/0.50 % (22641)------------------------------
% 0.17/0.50 TRYING [3]
% 0.17/0.50 % (22642)Instruction limit reached!
% 0.17/0.50 % (22642)------------------------------
% 0.17/0.50 % (22642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (22642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (22642)Termination reason: Unknown
% 0.17/0.50 % (22642)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (22642)Memory used [KB]: 5373
% 0.17/0.50 % (22642)Time elapsed: 0.003 s
% 0.17/0.50 % (22642)Instructions burned: 3 (million)
% 0.17/0.50 % (22642)------------------------------
% 0.17/0.50 % (22642)------------------------------
% 0.17/0.50 % (22650)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)
% 0.17/0.51 % (22649)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)
% 0.17/0.52 % (22648)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)
% 0.17/0.53 TRYING [4]
% 0.17/0.54 % (22638)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54 % (22636)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)
% 0.17/0.54 % (22639)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)
% 0.17/0.54 % (22637)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)
% 0.17/0.55 % (22645)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)
% 0.17/0.55 % (22646)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.55 % (22654)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.55 % (22653)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.55 % (22663)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)
% 0.17/0.55 % (22644)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.55 % (22652)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.55 % (22640)Instruction limit reached!
% 0.17/0.55 % (22640)------------------------------
% 0.17/0.55 % (22640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (22661)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.56 % (22662)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.56 % (22640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (22640)Termination reason: Unknown
% 0.17/0.56 % (22640)Termination phase: Finite model building constraint generation
% 0.17/0.56
% 0.17/0.56 % (22640)Memory used [KB]: 7675
% 0.17/0.56 % (22640)Time elapsed: 0.160 s
% 0.17/0.56 % (22640)Instructions burned: 51 (million)
% 0.17/0.56 % (22640)------------------------------
% 0.17/0.56 % (22640)------------------------------
% 0.17/0.56 % (22660)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)
% 0.17/0.56 % (22655)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.58 % (22647)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.05/0.61 % (22643)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.15/0.62 % (22659)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.15/0.62 % (22638)First to succeed.
% 2.15/0.62 % (22636)Instruction limit reached!
% 2.15/0.62 % (22636)------------------------------
% 2.15/0.62 % (22636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.62 % (22636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.62 % (22636)Termination reason: Unknown
% 2.15/0.62 % (22636)Termination phase: Saturation
% 2.15/0.62
% 2.15/0.62 % (22636)Memory used [KB]: 1279
% 2.15/0.62 % (22636)Time elapsed: 0.230 s
% 2.15/0.62 % (22636)Instructions burned: 37 (million)
% 2.15/0.62 % (22636)------------------------------
% 2.15/0.62 % (22636)------------------------------
% 2.15/0.62 % (22638)Refutation found. Thanks to Tanya!
% 2.15/0.62 % SZS status Unsatisfiable for theBenchmark
% 2.15/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.62 % (22638)------------------------------
% 2.15/0.62 % (22638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.62 % (22638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.62 % (22638)Termination reason: Refutation
% 2.15/0.62
% 2.15/0.62 % (22638)Memory used [KB]: 5756
% 2.15/0.62 % (22638)Time elapsed: 0.233 s
% 2.15/0.62 % (22638)Instructions burned: 33 (million)
% 2.15/0.62 % (22638)------------------------------
% 2.15/0.62 % (22638)------------------------------
% 2.15/0.62 % (22633)Success in time 0.281 s
%------------------------------------------------------------------------------