TSTP Solution File: LCL156-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL156-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n010.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 17:39:07 EDT 2022
% Result : Unsatisfiable 1.31s 0.52s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 81 ( 17 unt; 0 def)
% Number of atoms : 209 ( 63 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 244 ( 116 ~; 113 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f418,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f37,f43,f48,f53,f68,f72,f83,f123,f141,f157,f189,f195,f326,f376,f417]) ).
fof(f417,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f409]) ).
fof(f409,plain,
( x != x
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(backward_demodulation,[],[f188,f397]) ).
fof(f397,plain,
( ! [X3] : not(not(X3)) = X3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f396,f36]) ).
fof(f36,plain,
( ! [X0] : implies(truth,X0) = X0
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_2
<=> ! [X0] : implies(truth,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f396,plain,
( ! [X3] : not(not(X3)) = implies(truth,X3)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f395,f194]) ).
fof(f194,plain,
( ! [X0] : truth = implies(X0,X0)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl0_16
<=> ! [X0] : truth = implies(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f395,plain,
( ! [X3] : implies(implies(not(X3),not(X3)),X3) = not(not(X3))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f394,f47]) ).
fof(f47,plain,
( ! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_4
<=> ! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f394,plain,
( ! [X3] : implies(implies(not(not(X3)),X3),X3) = not(not(X3))
| ~ spl0_2
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f383,f36]) ).
fof(f383,plain,
( ! [X3] : implies(implies(not(not(X3)),X3),X3) = implies(truth,not(not(X3)))
| ~ spl0_7
| ~ spl0_23 ),
inference(superposition,[],[f67,f375]) ).
fof(f375,plain,
( ! [X7] : truth = implies(X7,not(not(X7)))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl0_23
<=> ! [X7] : truth = implies(X7,not(not(X7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f67,plain,
( ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_7
<=> ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f188,plain,
( x != not(not(x))
| spl0_15 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl0_15
<=> x = not(not(x)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f376,plain,
( spl0_23
| ~ spl0_2
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f364,f323,f193,f35,f374]) ).
fof(f323,plain,
( spl0_22
<=> ! [X0,X1] : truth = implies(implies(not(not(X1)),X0),implies(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f364,plain,
( ! [X7] : truth = implies(X7,not(not(X7)))
| ~ spl0_2
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f334,f36]) ).
fof(f334,plain,
( ! [X7] : truth = implies(truth,implies(X7,not(not(X7))))
| ~ spl0_16
| ~ spl0_22 ),
inference(superposition,[],[f324,f194]) ).
fof(f324,plain,
( ! [X0,X1] : truth = implies(implies(not(not(X1)),X0),implies(X1,X0))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f326,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f103,f70,f46,f323]) ).
fof(f70,plain,
( spl0_8
<=> ! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f103,plain,
( ! [X2,X3] : truth = implies(implies(not(not(X3)),X2),implies(X3,X2))
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f71,f47]) ).
fof(f71,plain,
( ! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f195,plain,
( spl0_16
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f172,f153,f138,f35,f193]) ).
fof(f138,plain,
( spl0_12
<=> ! [X0] : truth = implies(implies(not(falsehood),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f153,plain,
( spl0_13
<=> truth = implies(not(falsehood),not(falsehood)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f172,plain,
( ! [X0] : truth = implies(X0,X0)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f164,f36]) ).
fof(f164,plain,
( ! [X0] : truth = implies(implies(truth,X0),X0)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f139,f162]) ).
fof(f162,plain,
( truth = not(falsehood)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f159,f36]) ).
fof(f159,plain,
( truth = implies(truth,not(falsehood))
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f139,f155]) ).
fof(f155,plain,
( truth = implies(not(falsehood),not(falsehood))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f139,plain,
( ! [X0] : truth = implies(implies(not(falsehood),X0),X0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f189,plain,
( ~ spl0_15
| ~ spl0_2
| spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f171,f153,f138,f50,f35,f186]) ).
fof(f50,plain,
( spl0_5
<=> x = not(implies(not(falsehood),not(x))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f171,plain,
( x != not(not(x))
| ~ spl0_2
| spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f165,f36]) ).
fof(f165,plain,
( x != not(implies(truth,not(x)))
| ~ spl0_2
| spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f52,f162]) ).
fof(f52,plain,
( x != not(implies(not(falsehood),not(x)))
| spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f157,plain,
( spl0_13
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f150,f138,f80,f153]) ).
fof(f80,plain,
( spl0_9
<=> ! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f150,plain,
( truth = implies(not(falsehood),not(falsehood))
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f81,f139]) ).
fof(f81,plain,
( ! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f141,plain,
( spl0_12
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f126,f120,f46,f138]) ).
fof(f120,plain,
( spl0_10
<=> ! [X1] : truth = implies(implies(not(X1),falsehood),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f126,plain,
( ! [X1] : truth = implies(implies(not(falsehood),X1),X1)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f121,f47]) ).
fof(f121,plain,
( ! [X1] : truth = implies(implies(not(X1),falsehood),X1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_10
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f116,f70,f35,f30,f120]) ).
fof(f30,plain,
( spl0_1
<=> not(truth) = falsehood ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f116,plain,
( ! [X0] : truth = implies(implies(not(X0),falsehood),X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f101,f36]) ).
fof(f101,plain,
( ! [X0] : truth = implies(implies(not(X0),falsehood),implies(truth,X0))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f71,f32]) ).
fof(f32,plain,
( not(truth) = falsehood
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f83,plain,
( spl0_9
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f76,f66,f35,f80]) ).
fof(f76,plain,
( ! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f67,f36]) ).
fof(f72,plain,
spl0_8,
inference(avatar_split_clause,[],[f4,f70]) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f68,plain,
spl0_7,
inference(avatar_split_clause,[],[f3,f66]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f53,plain,
( ~ spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f44,f40,f50]) ).
fof(f40,plain,
( spl0_3
<=> x = not(implies(not(not(x)),falsehood)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f44,plain,
( x != not(implies(not(falsehood),not(x)))
| spl0_3 ),
inference(backward_demodulation,[],[f42,f27]) ).
fof(f27,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(definition_unfolding,[],[f7,f5,f5]) ).
fof(f5,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).
fof(f42,plain,
( x != not(implies(not(not(x)),falsehood))
| spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f48,plain,
spl0_4,
inference(avatar_split_clause,[],[f27,f46]) ).
fof(f43,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f38,f30,f40]) ).
fof(f38,plain,
( x != not(implies(not(not(x)),falsehood))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f24,f32]) ).
fof(f24,plain,
x != not(implies(not(not(x)),not(truth))),
inference(definition_unfolding,[],[f17,f20]) ).
fof(f20,plain,
! [X0,X1] : and_star(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f13,f5]) ).
fof(f13,axiom,
! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_definition) ).
fof(f17,axiom,
x != and_star(x,truth),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
fof(f37,plain,
spl0_2,
inference(avatar_split_clause,[],[f1,f35]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f33,plain,
spl0_1,
inference(avatar_split_clause,[],[f16,f30]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL156-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 01:31:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (17058)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.49 % (17057)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (17065)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.19/0.50 % (17065)First to succeed.
% 0.19/0.50 % (17076)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.19/0.50 % (17066)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.19/0.51 % (17068)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.19/0.51 % (17060)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (17059)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (17072)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.19/0.52 % (17078)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.31/0.52 % (17065)Refutation found. Thanks to Tanya!
% 1.31/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.31/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.52 % (17065)------------------------------
% 1.31/0.52 % (17065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (17065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52 % (17065)Termination reason: Refutation
% 1.31/0.52
% 1.31/0.52 % (17065)Memory used [KB]: 5756
% 1.31/0.52 % (17065)Time elapsed: 0.106 s
% 1.31/0.52 % (17065)Instructions burned: 14 (million)
% 1.31/0.52 % (17065)------------------------------
% 1.31/0.52 % (17065)------------------------------
% 1.31/0.52 % (17051)Success in time 0.171 s
%------------------------------------------------------------------------------