TSTP Solution File: SWW102+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW102+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : n013.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 19:18:31 EDT 2022
% Result : Theorem 1.32s 0.61s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 31
% Syntax : Number of formulae : 167 ( 61 unt; 0 def)
% Number of atoms : 343 ( 176 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 301 ( 125 ~; 119 |; 35 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 102 ( 94 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f729,plain,
$false,
inference(avatar_sat_refutation,[],[f376,f392,f680,f703,f706,f717,f725]) ).
fof(f725,plain,
( ~ spl10_1
| spl10_8
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| ~ spl10_1
| spl10_8
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f723,f721]) ).
fof(f721,plain,
( true != sF8
| spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f719,f225]) ).
fof(f225,plain,
true = not1(false1),
inference(definition_unfolding,[],[f158,f194]) ).
fof(f194,plain,
false = false1,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
false = false1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false1) ).
fof(f158,plain,
true = not1(false),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
true = not1(false),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom2) ).
fof(f719,plain,
( sF8 != not1(false1)
| spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f677,f700]) ).
fof(f700,plain,
( false1 = sK7
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f698,plain,
( spl10_10
<=> false1 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f677,plain,
( sF8 != not1(sK7)
| spl10_8 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl10_8
<=> sF8 = not1(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f723,plain,
( true = sF8
| ~ spl10_1
| ~ spl10_10 ),
inference(forward_demodulation,[],[f722,f291]) ).
fof(f291,plain,
true = impl(false1,false1),
inference(resolution,[],[f249,f255]) ).
fof(f255,plain,
bool(false1),
inference(equality_resolution,[],[f228]) ).
fof(f228,plain,
! [X0] :
( bool(X0)
| false1 != X0 ),
inference(definition_unfolding,[],[f165,f194]) ).
fof(f165,plain,
! [X0] :
( bool(X0)
| false != X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( bool(X0)
| ( false != X0
& true != X0 ) )
& ( false = X0
| true = X0
| ~ bool(X0) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( bool(X0)
| ( false != X0
& true != X0 ) )
& ( false = X0
| true = X0
| ~ bool(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( bool(X0)
<=> ( false = X0
| true = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_bool) ).
fof(f249,plain,
! [X0] :
( ~ bool(X0)
| true = impl(false1,X0) ),
inference(definition_unfolding,[],[f200,f194]) ).
fof(f200,plain,
! [X0] :
( true = impl(false,X0)
| ~ bool(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( true = impl(false,X0)
| ~ bool(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( bool(X0)
=> true = impl(false,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3] :
( bool(X3)
=> true = impl(false,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom3) ).
fof(f722,plain,
( sF8 = impl(false1,false1)
| ~ spl10_1
| ~ spl10_10 ),
inference(forward_demodulation,[],[f412,f700]) ).
fof(f412,plain,
( impl(sK7,false1) = sF8
| ~ spl10_1 ),
inference(forward_demodulation,[],[f261,f406]) ).
fof(f406,plain,
( false1 = false2
| ~ spl10_1 ),
inference(forward_demodulation,[],[f405,f328]) ).
fof(f328,plain,
false1 = lazy_impl(true,false1),
inference(resolution,[],[f269,f242]) ).
fof(f242,plain,
d(false1),
inference(definition_unfolding,[],[f186,f194]) ).
fof(f186,plain,
d(false),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( d(err)
& d(true)
& d(false) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_true_err_in_d) ).
fof(f269,plain,
! [X0] :
( ~ d(X0)
| lazy_impl(true,X0) = X0 ),
inference(forward_demodulation,[],[f236,f244]) ).
fof(f244,plain,
! [X0] : lazy_and1(true,X0) = lazy_impl(true,X0),
inference(definition_unfolding,[],[f192,f172]) ).
fof(f172,plain,
! [X0] : phi(X0) = lazy_and1(true,X0),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : phi(X0) = lazy_and1(true,X0),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3] : phi(X3) = lazy_and1(true,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_and1_axiom3) ).
fof(f192,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : phi(X3) = lazy_impl(true,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom3) ).
fof(f236,plain,
! [X0] :
( ~ d(X0)
| lazy_and1(true,X0) = X0 ),
inference(definition_unfolding,[],[f173,f172]) ).
fof(f173,plain,
! [X0] :
( phi(X0) = X0
| ~ d(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( d(X0)
& phi(X0) = X0 )
| ( err = phi(X0)
& ~ d(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_phi) ).
fof(f405,plain,
( false2 = lazy_impl(true,false1)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f404,f328]) ).
fof(f404,plain,
( false2 = lazy_impl(true,lazy_impl(true,false1))
| ~ spl10_1 ),
inference(forward_demodulation,[],[f350,f371]) ).
fof(f371,plain,
( false1 = sK1
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f369,plain,
( spl10_1
<=> false1 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f350,plain,
false2 = lazy_impl(true,lazy_impl(true,sK1)),
inference(backward_demodulation,[],[f299,f347]) ).
fof(f347,plain,
true = prop(sK1),
inference(subsumption_resolution,[],[f346,f260]) ).
fof(f260,plain,
forallprefers(false1,true),
inference(equality_resolution,[],[f259]) ).
fof(f259,plain,
! [X0] :
( forallprefers(false1,X0)
| true != X0 ),
inference(equality_resolution,[],[f251]) ).
fof(f251,plain,
! [X0,X1] :
( forallprefers(X1,X0)
| false1 != X1
| true != X0 ),
inference(definition_unfolding,[],[f202,f194]) ).
fof(f202,plain,
! [X0,X1] :
( forallprefers(X1,X0)
| false != X1
| true != X0 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( forallprefers(X1,X0)
| ( ( ~ d(X0)
| d(X1) )
& ( ~ d(X1)
| ~ bool(X0)
| bool(X1)
| ~ d(X0) )
& ( false != X1
| true != X0 ) ) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( ( ( d(X0)
& ~ d(X1) )
| ( d(X1)
& ~ bool(X1)
& d(X0)
& bool(X0) )
| ( true = X0
& false = X1 ) )
=> forallprefers(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( forallprefers(X1,X0)
<=> ( ( d(X0)
& ~ d(X1) )
| ( d(X1)
& ~ bool(X1)
& d(X0)
& bool(X0) )
| ( true = X0
& false = X1 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( ( ~ bool(X0)
& bool(X1)
& d(X0)
& d(X1) )
| ( false = X0
& true = X1 )
| ( d(X1)
& ~ d(X0) ) )
<=> forallprefers(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_forallprefers) ).
fof(f346,plain,
( true = prop(sK1)
| ~ forallprefers(false1,true) ),
inference(forward_demodulation,[],[f340,f222]) ).
fof(f222,plain,
! [X0] : true = lazy_impl(false1,X0),
inference(definition_unfolding,[],[f154,f194]) ).
fof(f154,plain,
! [X0] : true = lazy_impl(false,X0),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] : true = lazy_impl(false,X0),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] : true = lazy_impl(false,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom2) ).
fof(f340,plain,
( ~ forallprefers(false1,lazy_impl(false1,sK1))
| true = prop(sK1) ),
inference(superposition,[],[f332,f288]) ).
fof(f288,plain,
! [X1] :
( false1 = prop(X1)
| true = prop(X1) ),
inference(resolution,[],[f232,f206]) ).
fof(f206,plain,
! [X0] :
( ~ bool(X0)
| true = prop(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( bool(X0)
| true != prop(X0) )
& ( true = prop(X0)
| ~ bool(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( bool(X0)
<=> true = prop(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_true) ).
fof(f232,plain,
! [X0] :
( bool(X0)
| prop(X0) = false1 ),
inference(definition_unfolding,[],[f171,f194]) ).
fof(f171,plain,
! [X0] :
( false = prop(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( false = prop(X0)
| bool(X0) )
& ( ~ bool(X0)
| false != prop(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( false = prop(X0)
<=> ~ bool(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_false) ).
fof(f332,plain,
~ forallprefers(false1,lazy_impl(prop(sK1),sK1)),
inference(forward_demodulation,[],[f329,f328]) ).
fof(f329,plain,
~ forallprefers(lazy_impl(true,false1),lazy_impl(prop(sK1),sK1)),
inference(superposition,[],[f220,f277]) ).
fof(f277,plain,
true = prop(false1),
inference(resolution,[],[f206,f255]) ).
fof(f220,plain,
! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK1),sK1)),
inference(definition_unfolding,[],[f150,f199,f199]) ).
fof(f199,plain,
! [X0] : lazy_impl(prop(X0),X0) = f7(X0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] : lazy_impl(prop(X0),X0) = f7(X0),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f7) ).
fof(f150,plain,
! [X1] : ~ forallprefers(f7(X1),f7(sK1)),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( false2 = phi(f7(sK1))
& ! [X1] : ~ forallprefers(f7(X1),f7(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f95,f117]) ).
fof(f117,plain,
( ? [X0] :
( false2 = phi(f7(X0))
& ! [X1] : ~ forallprefers(f7(X1),f7(X0)) )
=> ( false2 = phi(f7(sK1))
& ! [X1] : ~ forallprefers(f7(X1),f7(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
? [X0] :
( false2 = phi(f7(X0))
& ! [X1] : ~ forallprefers(f7(X1),f7(X0)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
? [X0] :
( ~ ? [X1] : forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
? [X4] :
( ~ ? [X9] : forallprefers(f7(X9),f7(X4))
& false2 = phi(f7(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false2) ).
fof(f299,plain,
false2 = lazy_impl(true,lazy_impl(prop(sK1),sK1)),
inference(superposition,[],[f219,f244]) ).
fof(f219,plain,
false2 = lazy_and1(true,lazy_impl(prop(sK1),sK1)),
inference(definition_unfolding,[],[f151,f172,f199]) ).
fof(f151,plain,
false2 = phi(f7(sK1)),
inference(cnf_transformation,[],[f118]) ).
fof(f261,plain,
impl(sK7,false2) = sF8,
introduced(function_definition,[]) ).
fof(f717,plain,
( ~ spl10_1
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f716,plain,
( $false
| ~ spl10_1
| ~ spl10_9 ),
inference(subsumption_resolution,[],[f715,f709]) ).
fof(f709,plain,
( false1 != sF9
| ~ spl10_1
| ~ spl10_9 ),
inference(backward_demodulation,[],[f263,f708]) ).
fof(f708,plain,
( false1 = sF8
| ~ spl10_1
| ~ spl10_9 ),
inference(forward_demodulation,[],[f707,f284]) ).
fof(f284,plain,
false1 = impl(true,false1),
inference(resolution,[],[f179,f255]) ).
fof(f179,plain,
! [X0] :
( ~ bool(X0)
| impl(true,X0) = X0 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ bool(X0)
| impl(true,X0) = X0 ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( bool(X0)
=> impl(true,X0) = X0 ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3] :
( bool(X3)
=> impl(true,X3) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom4) ).
fof(f707,plain,
( impl(true,false1) = sF8
| ~ spl10_1
| ~ spl10_9 ),
inference(backward_demodulation,[],[f412,f696]) ).
fof(f696,plain,
( true = sK7
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f694,plain,
( spl10_9
<=> true = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f263,plain,
sF8 != sF9,
inference(definition_folding,[],[f248,f262,f261]) ).
fof(f262,plain,
sF9 = not1(sK7),
introduced(function_definition,[]) ).
fof(f248,plain,
impl(sK7,false2) != not1(sK7),
inference(definition_unfolding,[],[f198,f177]) ).
fof(f177,plain,
! [X0] : impl(X0,false2) = not2(X0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] : impl(X0,false2) = not2(X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : not2(X4) = impl(X4,false2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_not2) ).
fof(f198,plain,
not2(sK7) != not1(sK7),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
not2(sK7) != not1(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f106,f139]) ).
fof(f139,plain,
( ? [X0] : not2(X0) != not1(X0)
=> not2(sK7) != not1(sK7) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0] : not2(X0) != not1(X0),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
~ ! [X0] : not2(X0) = not1(X0),
inference(rectify,[],[f46]) ).
fof(f46,negated_conjecture,
~ ! [X4] : not2(X4) = not1(X4),
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
! [X4] : not2(X4) = not1(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_not2) ).
fof(f715,plain,
( false1 = sF9
| ~ spl10_9 ),
inference(forward_demodulation,[],[f714,f237]) ).
fof(f237,plain,
false1 = not1(true),
inference(definition_unfolding,[],[f180,f194]) ).
fof(f180,plain,
false = not1(true),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
false = not1(true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom3) ).
fof(f714,plain,
( not1(true) = sF9
| ~ spl10_9 ),
inference(forward_demodulation,[],[f262,f696]) ).
fof(f706,plain,
~ spl10_8,
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f704,f263]) ).
fof(f704,plain,
( sF8 = sF9
| ~ spl10_8 ),
inference(backward_demodulation,[],[f262,f678]) ).
fof(f678,plain,
( sF8 = not1(sK7)
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f703,plain,
( spl10_9
| spl10_10
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f702,f672,f698,f694]) ).
fof(f672,plain,
( spl10_7
<=> true = prop(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f702,plain,
( false1 = sK7
| true = sK7
| ~ spl10_7 ),
inference(subsumption_resolution,[],[f686,f247]) ).
fof(f247,plain,
true != false1,
inference(definition_unfolding,[],[f196,f194]) ).
fof(f196,plain,
false != true,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( false != err
& false != true
& true != err ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_false_true_err) ).
fof(f686,plain,
( true = sK7
| true = false1
| false1 = sK7
| ~ spl10_7 ),
inference(superposition,[],[f303,f674]) ).
fof(f674,plain,
( true = prop(sK7)
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f303,plain,
! [X0] :
( prop(X0) = false1
| false1 = X0
| true = X0 ),
inference(resolution,[],[f229,f232]) ).
fof(f229,plain,
! [X0] :
( ~ bool(X0)
| true = X0
| false1 = X0 ),
inference(definition_unfolding,[],[f163,f194]) ).
fof(f163,plain,
! [X0] :
( false = X0
| true = X0
| ~ bool(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f680,plain,
( spl10_8
| spl10_7
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f659,f369,f672,f676]) ).
fof(f659,plain,
( true = prop(sK7)
| sF8 = not1(sK7)
| ~ spl10_1 ),
inference(superposition,[],[f638,f412]) ).
fof(f638,plain,
! [X10,X9] :
( impl(X9,X10) = not1(X9)
| true = prop(X9) ),
inference(duplicate_literal_removal,[],[f620]) ).
fof(f620,plain,
! [X10,X9] :
( true = prop(X9)
| impl(X9,X10) = not1(X9)
| true = prop(X9) ),
inference(superposition,[],[f445,f283]) ).
fof(f283,plain,
! [X0] :
( lazy_impl(true,X0) = not1(X0)
| true = prop(X0) ),
inference(resolution,[],[f273,f206]) ).
fof(f273,plain,
! [X0] :
( bool(X0)
| lazy_impl(true,X0) = not1(X0) ),
inference(forward_demodulation,[],[f250,f244]) ).
fof(f250,plain,
! [X0] :
( lazy_and1(true,X0) = not1(X0)
| bool(X0) ),
inference(definition_unfolding,[],[f201,f172]) ).
fof(f201,plain,
! [X0] :
( phi(X0) = not1(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( phi(X0) = not1(X0)
| bool(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ~ bool(X0)
=> phi(X0) = not1(X0) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X2] :
( ~ bool(X2)
=> phi(X2) = not1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom1) ).
fof(f445,plain,
! [X6,X7] :
( lazy_impl(true,X6) = impl(X6,X7)
| true = prop(X6) ),
inference(resolution,[],[f267,f206]) ).
fof(f267,plain,
! [X0,X1] :
( bool(X1)
| lazy_impl(true,X1) = impl(X1,X0) ),
inference(backward_demodulation,[],[f240,f244]) ).
fof(f240,plain,
! [X0,X1] :
( lazy_and1(true,X1) = impl(X1,X0)
| bool(X1) ),
inference(definition_unfolding,[],[f183,f172]) ).
fof(f183,plain,
! [X0,X1] :
( bool(X1)
| impl(X1,X0) = phi(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( bool(X1)
| impl(X1,X0) = phi(X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ~ bool(X1)
=> impl(X1,X0) = phi(X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X2] :
( ~ bool(X2)
=> impl(X2,X3) = phi(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom1) ).
fof(f392,plain,
~ spl10_2,
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl10_2 ),
inference(subsumption_resolution,[],[f390,f260]) ).
fof(f390,plain,
( ~ forallprefers(false1,true)
| ~ spl10_2 ),
inference(forward_demodulation,[],[f378,f326]) ).
fof(f326,plain,
true = lazy_impl(true,true),
inference(resolution,[],[f269,f187]) ).
fof(f187,plain,
d(true),
inference(cnf_transformation,[],[f3]) ).
fof(f378,plain,
( ~ forallprefers(false1,lazy_impl(true,true))
| ~ spl10_2 ),
inference(backward_demodulation,[],[f348,f375]) ).
fof(f375,plain,
( true = sK1
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f373,plain,
( spl10_2
<=> true = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f348,plain,
~ forallprefers(false1,lazy_impl(true,sK1)),
inference(backward_demodulation,[],[f332,f347]) ).
fof(f376,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f366,f373,f369]) ).
fof(f366,plain,
( true = sK1
| false1 = sK1 ),
inference(resolution,[],[f359,f229]) ).
fof(f359,plain,
bool(sK1),
inference(trivial_inequality_removal,[],[f358]) ).
fof(f358,plain,
( true != true
| bool(sK1) ),
inference(superposition,[],[f207,f347]) ).
fof(f207,plain,
! [X0] :
( true != prop(X0)
| bool(X0) ),
inference(cnf_transformation,[],[f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWW102+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.37 % Computer : n013.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 30 20:16:02 EDT 2022
% 0.15/0.37 % CPUTime :
% 1.10/0.53 % (5422)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)
% 1.10/0.53 % (5413)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.10/0.53 % (5407)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.10/0.54 % (5406)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)
% 1.10/0.54 % (5414)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)
% 1.32/0.55 % (5402)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)
% 1.32/0.55 % (5428)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.32/0.56 % (5407)Instruction limit reached!
% 1.32/0.56 % (5407)------------------------------
% 1.32/0.56 % (5407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.56 % (5407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.56 % (5423)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)
% 1.32/0.56 % (5407)Termination reason: Unknown
% 1.32/0.56 % (5407)Termination phase: Saturation
% 1.32/0.56
% 1.32/0.56 % (5407)Memory used [KB]: 5500
% 1.32/0.56 % (5407)Time elapsed: 0.123 s
% 1.32/0.56 % (5407)Instructions burned: 7 (million)
% 1.32/0.56 TRYING [3]
% 1.32/0.56 % (5407)------------------------------
% 1.32/0.56 % (5407)------------------------------
% 1.32/0.56 % (5429)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)
% 1.32/0.56 % (5403)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)
% 1.32/0.56 % (5404)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.56 % (5405)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)
% 1.32/0.56 % (5417)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.32/0.56 % (5418)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.56 % (5420)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)
% 1.32/0.56 % (5401)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)
% 1.32/0.57 % (5421)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.32/0.57 % (5416)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)
% 1.32/0.57 % (5410)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.57 % (5411)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)
% 1.32/0.57 % (5412)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.32/0.58 % (5409)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)
% 1.32/0.58 % (5419)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)
% 1.32/0.58 % (5424)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.32/0.58 % (5425)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.32/0.58 % (5426)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)
% 1.32/0.58 % (5400)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)
% 1.32/0.59 % (5427)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)
% 1.32/0.59 TRYING [3]
% 1.32/0.59 % (5401)Refutation not found, incomplete strategy% (5401)------------------------------
% 1.32/0.59 % (5401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.59 % (5401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.59 % (5401)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.59
% 1.32/0.59 % (5401)Memory used [KB]: 5756
% 1.32/0.59 % (5401)Time elapsed: 0.163 s
% 1.32/0.59 % (5401)Instructions burned: 15 (million)
% 1.32/0.59 % (5401)------------------------------
% 1.32/0.59 % (5401)------------------------------
% 1.32/0.59 % (5415)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)
% 1.32/0.60 % (5406)Instruction limit reached!
% 1.32/0.60 % (5406)------------------------------
% 1.32/0.60 % (5406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.60 % (5406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.60 % (5406)Termination reason: Unknown
% 1.32/0.60 % (5406)Termination phase: Finite model building SAT solving
% 1.32/0.60
% 1.32/0.60 % (5406)Memory used [KB]: 8315
% 1.32/0.60 % (5406)Time elapsed: 0.099 s
% 1.32/0.60 % (5406)Instructions burned: 51 (million)
% 1.32/0.60 % (5406)------------------------------
% 1.32/0.60 % (5406)------------------------------
% 1.32/0.60 % (5408)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.60 % (5408)Instruction limit reached!
% 1.32/0.60 % (5408)------------------------------
% 1.32/0.60 % (5408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.60 % (5408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.60 % (5408)Termination reason: Unknown
% 1.32/0.60 % (5408)Termination phase: Preprocessing 3
% 1.32/0.60
% 1.32/0.60 % (5408)Memory used [KB]: 895
% 1.32/0.60 % (5408)Time elapsed: 0.003 s
% 1.32/0.60 % (5408)Instructions burned: 3 (million)
% 1.32/0.60 % (5408)------------------------------
% 1.32/0.60 % (5408)------------------------------
% 1.32/0.61 % (5428)First to succeed.
% 1.32/0.61 TRYING [3]
% 1.32/0.61 % (5428)Refutation found. Thanks to Tanya!
% 1.32/0.61 % SZS status Theorem for theBenchmark
% 1.32/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.61 % (5428)------------------------------
% 1.32/0.61 % (5428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.61 % (5428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.61 % (5428)Termination reason: Refutation
% 1.32/0.61
% 1.32/0.61 % (5428)Memory used [KB]: 5756
% 1.32/0.61 % (5428)Time elapsed: 0.183 s
% 1.32/0.61 % (5428)Instructions burned: 25 (million)
% 1.32/0.61 % (5428)------------------------------
% 1.32/0.61 % (5428)------------------------------
% 1.32/0.61 % (5399)Success in time 0.228 s
%------------------------------------------------------------------------------