TSTP Solution File: PUZ001+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n008.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 18:11:27 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 64 ( 19 unt; 0 def)
% Number of atoms : 121 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 104 ( 47 ~; 41 |; 4 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 41 ( 37 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f78,f83,f93]) ).
fof(f93,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f91,f30]) ).
fof(f30,plain,
agatha != butler,
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
agatha != butler,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_11) ).
fof(f91,plain,
( agatha = butler
| ~ spl2_1 ),
inference(resolution,[],[f87,f48]) ).
fof(f48,plain,
! [X0] :
( ~ hates(charles,X0)
| butler = X0 ),
inference(resolution,[],[f37,f31]) ).
fof(f31,plain,
! [X0] :
( hates(agatha,X0)
| butler = X0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( hates(agatha,X0)
| butler = X0 ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( butler != X0
=> hates(agatha,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_7) ).
fof(f37,plain,
! [X0] :
( ~ hates(agatha,X0)
| ~ hates(charles,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ~ hates(agatha,X0)
| ~ hates(charles,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( hates(agatha,X0)
=> ~ hates(charles,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_6) ).
fof(f87,plain,
( hates(charles,agatha)
| ~ spl2_1 ),
inference(forward_demodulation,[],[f45,f63]) ).
fof(f63,plain,
( charles = sK1
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl2_1
<=> charles = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f45,plain,
hates(sK1,agatha),
inference(resolution,[],[f36,f43]) ).
fof(f43,plain,
killed(sK1,agatha),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( killed(sK1,agatha)
& lives(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f1,f28]) ).
fof(f28,plain,
( ? [X0] :
( killed(X0,agatha)
& lives(X0) )
=> ( killed(sK1,agatha)
& lives(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
( killed(X0,agatha)
& lives(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_1) ).
fof(f36,plain,
! [X0,X1] :
( ~ killed(X0,X1)
| hates(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( killed(X0,X1)
=> hates(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_4) ).
fof(f83,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f79,f53]) ).
fof(f53,plain,
~ hates(butler,butler),
inference(superposition,[],[f39,f52]) ).
fof(f52,plain,
butler = sK0(butler),
inference(resolution,[],[f46,f39]) ).
fof(f46,plain,
! [X0] :
( hates(butler,X0)
| butler = X0 ),
inference(resolution,[],[f31,f44]) ).
fof(f44,plain,
! [X0] :
( ~ hates(agatha,X0)
| hates(butler,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ~ hates(agatha,X0)
| hates(butler,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( hates(agatha,X0)
=> hates(butler,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_9) ).
fof(f39,plain,
! [X0] : ~ hates(X0,sK0(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] : ~ hates(X0,sK0(X0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f26]) ).
fof(f26,plain,
! [X0] :
( ? [X1] : ~ hates(X0,X1)
=> ~ hates(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f12,axiom,
! [X0] :
? [X1] : ~ hates(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_10) ).
fof(f79,plain,
( hates(butler,butler)
| ~ spl2_3 ),
inference(backward_demodulation,[],[f55,f71]) ).
fof(f71,plain,
( butler = sK1
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl2_3
<=> butler = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f55,plain,
hates(butler,sK1),
inference(resolution,[],[f51,f43]) ).
fof(f51,plain,
! [X0] :
( ~ killed(X0,agatha)
| hates(butler,X0) ),
inference(resolution,[],[f40,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ richer(X1,X0)
| ~ killed(X1,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ richer(X1,X0)
| ~ killed(X1,X0) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( killed(X0,X1)
=> ~ richer(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_5) ).
fof(f40,plain,
! [X0] :
( richer(X0,agatha)
| hates(butler,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( richer(X0,agatha)
| hates(butler,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ~ richer(X0,agatha)
=> hates(butler,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_8) ).
fof(f78,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f75,f41]) ).
fof(f41,plain,
~ killed(agatha,agatha),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
~ killed(agatha,agatha),
inference(flattening,[],[f15]) ).
fof(f15,negated_conjecture,
~ killed(agatha,agatha),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
killed(agatha,agatha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55) ).
fof(f75,plain,
( killed(agatha,agatha)
| ~ spl2_2 ),
inference(backward_demodulation,[],[f43,f67]) ).
fof(f67,plain,
( agatha = sK1
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl2_2
<=> agatha = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f72,plain,
( spl2_1
| spl2_2
| spl2_3 ),
inference(avatar_split_clause,[],[f59,f69,f65,f61]) ).
fof(f59,plain,
( butler = sK1
| agatha = sK1
| charles = sK1 ),
inference(resolution,[],[f32,f42]) ).
fof(f42,plain,
lives(sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f32,plain,
! [X0] :
( ~ lives(X0)
| agatha = X0
| charles = X0
| butler = X0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ~ lives(X0)
| agatha = X0
| butler = X0
| charles = X0 ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0] :
( charles = X0
| agatha = X0
| butler = X0
| ~ lives(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( lives(X0)
=> ( charles = X0
| agatha = X0
| butler = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 10:37:10 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.48 % (20522)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.48 % (20498)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (20506)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.49 % (20501)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (20498)First to succeed.
% 0.18/0.49 % (20498)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (20498)------------------------------
% 0.18/0.49 % (20498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (20498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (20498)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (20498)Memory used [KB]: 5373
% 0.18/0.49 % (20498)Time elapsed: 0.105 s
% 0.18/0.49 % (20498)Instructions burned: 2 (million)
% 0.18/0.49 % (20498)------------------------------
% 0.18/0.49 % (20498)------------------------------
% 0.18/0.49 % (20493)Success in time 0.159 s
%------------------------------------------------------------------------------