TSTP Solution File: SYN056+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN056+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_uns --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 19:25:21 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 81 ( 1 unt; 0 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 281 ( 121 ~; 110 |; 20 &)
% ( 19 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 13 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 66 ( 52 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f45,f54,f59,f64,f65,f72,f79,f80,f82,f84,f86,f88,f99,f101,f103,f105]) ).
fof(f105,plain,
( spl4_3
| ~ spl4_10
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f104,f74,f70,f39]) ).
fof(f39,plain,
( spl4_3
<=> ! [X1] : ~ big_q(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f70,plain,
( spl4_10
<=> ! [X1] :
( ~ big_q(X1)
| ~ big_s(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f74,plain,
( spl4_11
<=> ! [X1] :
( big_s(X1)
| ~ big_q(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f104,plain,
( ! [X1] : ~ big_q(X1)
| ~ spl4_10
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f71,f75]) ).
fof(f75,plain,
( ! [X1] :
( ~ big_q(X1)
| big_s(X1) )
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f71,plain,
( ! [X1] :
( ~ big_q(X1)
| ~ big_s(X1) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f103,plain,
( spl4_6
| ~ spl4_8
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f102,plain,
( $false
| spl4_6
| ~ spl4_8
| ~ spl4_9 ),
inference(subsumption_resolution,[],[f89,f63]) ).
fof(f63,plain,
( big_p(sK3)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl4_8
<=> big_p(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f89,plain,
( ~ big_p(sK3)
| spl4_6
| ~ spl4_9 ),
inference(unit_resulting_resolution,[],[f53,f68]) ).
fof(f68,plain,
( ! [X0] :
( ~ big_p(X0)
| big_r(X0) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl4_9
<=> ! [X0] :
( ~ big_p(X0)
| big_r(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f53,plain,
( ~ big_r(sK3)
| spl4_6 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl4_6
<=> big_r(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f101,plain,
( spl4_2
| ~ spl4_9
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f100,f77,f67,f35]) ).
fof(f35,plain,
( spl4_2
<=> ! [X3] : ~ big_p(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f77,plain,
( spl4_12
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f100,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl4_9
| ~ spl4_12 ),
inference(subsumption_resolution,[],[f78,f68]) ).
fof(f78,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(X0) )
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f99,plain,
( ~ spl4_5
| spl4_7
| ~ spl4_11 ),
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f98,plain,
( $false
| ~ spl4_5
| spl4_7
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f91,f49]) ).
fof(f49,plain,
( big_q(sK2)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl4_5
<=> big_q(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f91,plain,
( ~ big_q(sK2)
| spl4_7
| ~ spl4_11 ),
inference(unit_resulting_resolution,[],[f58,f75]) ).
fof(f58,plain,
( ~ big_s(sK2)
| spl4_7 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl4_7
<=> big_s(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f88,plain,
( ~ spl4_2
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f87]) ).
fof(f87,plain,
( $false
| ~ spl4_2
| ~ spl4_4 ),
inference(unit_resulting_resolution,[],[f36,f44]) ).
fof(f44,plain,
( big_p(sK0)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl4_4
<=> big_p(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f36,plain,
( ! [X3] : ~ big_p(X3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f86,plain,
( ~ spl4_1
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f85,plain,
( $false
| ~ spl4_1
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f33,f40]) ).
fof(f40,plain,
( ! [X1] : ~ big_q(X1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f33,plain,
( big_q(sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl4_1
<=> big_q(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f84,plain,
( ~ spl4_2
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f83,plain,
( $false
| ~ spl4_2
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f63,f36]) ).
fof(f82,plain,
( ~ spl4_3
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f81]) ).
fof(f81,plain,
( $false
| ~ spl4_3
| ~ spl4_5 ),
inference(unit_resulting_resolution,[],[f49,f40]) ).
fof(f80,plain,
( spl4_11
| spl4_9 ),
inference(avatar_split_clause,[],[f23,f67,f74]) ).
fof(f23,plain,
! [X2,X3] :
( ~ big_p(X3)
| ~ big_q(X2)
| big_s(X2)
| big_r(X3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( ( ~ big_s(sK2)
& big_q(sK2) )
| ( ~ big_r(sK3)
& big_p(sK3) ) )
& ( ! [X2] :
( big_s(X2)
| ~ big_q(X2) )
| ! [X3] :
( big_r(X3)
| ~ big_p(X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f15,f17,f16]) ).
fof(f16,plain,
( ? [X0] :
( ~ big_s(X0)
& big_q(X0) )
=> ( ~ big_s(sK2)
& big_q(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X1] :
( ~ big_r(X1)
& big_p(X1) )
=> ( ~ big_r(sK3)
& big_p(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ( ? [X0] :
( ~ big_s(X0)
& big_q(X0) )
| ? [X1] :
( ~ big_r(X1)
& big_p(X1) ) )
& ( ! [X2] :
( big_s(X2)
| ~ big_q(X2) )
| ! [X3] :
( big_r(X3)
| ~ big_p(X3) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
( ( ? [X1] :
( ~ big_s(X1)
& big_q(X1) )
| ? [X0] :
( ~ big_r(X0)
& big_p(X0) ) )
& ( ! [X1] :
( big_s(X1)
| ~ big_q(X1) )
| ! [X0] :
( big_r(X0)
| ~ big_p(X0) ) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X0] :
( big_r(X0)
| ~ big_p(X0) )
<~> ! [X1] :
( big_s(X1)
| ~ big_q(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ! [X1] :
( big_q(X1)
=> big_s(X1) )
<=> ! [X0] :
( big_p(X0)
=> big_r(X0) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ! [X1] :
( big_q(X1)
=> big_s(X1) )
<=> ! [X0] :
( big_p(X0)
=> big_r(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26) ).
fof(f79,plain,
( spl4_11
| spl4_12 ),
inference(avatar_split_clause,[],[f28,f77,f74]) ).
fof(f28,plain,
! [X0,X1] :
( ~ big_p(X0)
| ~ big_r(X0)
| big_s(X1)
| ~ big_q(X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ big_p(X0)
| ( ( big_r(X0)
| ~ big_s(X1) )
& ( big_s(X1)
| ~ big_r(X0) ) )
| ~ big_q(X1) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ~ big_p(X1)
| ( ( big_r(X1)
| ~ big_s(X0) )
& ( big_s(X0)
| ~ big_r(X1) ) )
| ~ big_q(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( ~ big_p(X1)
| ( big_r(X1)
<=> big_s(X0) )
| ~ big_q(X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
! [X1,X0] :
( ( big_r(X1)
<=> big_s(X0) )
| ~ big_p(X1)
| ~ big_q(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
! [X1,X0] :
( ( big_p(X1)
& big_q(X0) )
=> ( big_r(X1)
<=> big_s(X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( big_p(X0)
& big_q(X1) )
=> ( big_s(X1)
<=> big_r(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26_2) ).
fof(f72,plain,
( spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f29,f70,f67]) ).
fof(f29,plain,
! [X0,X1] :
( ~ big_q(X1)
| ~ big_p(X0)
| ~ big_s(X1)
| big_r(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f65,plain,
( spl4_8
| spl4_5 ),
inference(avatar_split_clause,[],[f24,f47,f61]) ).
fof(f24,plain,
( big_q(sK2)
| big_p(sK3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f64,plain,
( spl4_8
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f26,f56,f61]) ).
fof(f26,plain,
( ~ big_s(sK2)
| big_p(sK3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f59,plain,
( ~ spl4_7
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f27,f51,f56]) ).
fof(f27,plain,
( ~ big_r(sK3)
| ~ big_s(sK2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f54,plain,
( spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f25,f51,f47]) ).
fof(f25,plain,
( ~ big_r(sK3)
| big_q(sK2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f45,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f22,f42,f39]) ).
fof(f22,plain,
! [X1] :
( big_p(sK0)
| ~ big_q(X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( big_p(sK0)
| ! [X1] : ~ big_q(X1) )
& ( big_q(sK1)
| ! [X3] : ~ big_p(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f12,f11]) ).
fof(f11,plain,
( ? [X0] : big_p(X0)
=> big_p(sK0) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X2] : big_q(X2)
=> big_q(sK1) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ( ? [X0] : big_p(X0)
| ! [X1] : ~ big_q(X1) )
& ( ? [X2] : big_q(X2)
| ! [X3] : ~ big_p(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ( ? [X0] : big_p(X0)
| ! [X1] : ~ big_q(X1) )
& ( ? [X1] : big_q(X1)
| ! [X0] : ~ big_p(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ? [X0] : big_p(X0)
<=> ? [X1] : big_q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel26_1) ).
fof(f37,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f21,f35,f31]) ).
fof(f21,plain,
! [X3] :
( ~ big_p(X3)
| big_q(sK1) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 21:51:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.50 % (3800)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.50 % (3821)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (3806)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (3813)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (3813)Instruction limit reached!
% 0.18/0.50 % (3813)------------------------------
% 0.18/0.50 % (3813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (3813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (3813)Termination reason: Unknown
% 0.18/0.50 % (3813)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (3813)Memory used [KB]: 5884
% 0.18/0.50 % (3813)Time elapsed: 0.003 s
% 0.18/0.50 % (3813)Instructions burned: 2 (million)
% 0.18/0.50 % (3813)------------------------------
% 0.18/0.50 % (3813)------------------------------
% 0.18/0.50 % (3806)First to succeed.
% 0.18/0.51 % (3806)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (3806)------------------------------
% 0.18/0.51 % (3806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (3806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (3806)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (3806)Memory used [KB]: 6012
% 0.18/0.51 % (3806)Time elapsed: 0.112 s
% 0.18/0.51 % (3806)Instructions burned: 2 (million)
% 0.18/0.51 % (3806)------------------------------
% 0.18/0.51 % (3806)------------------------------
% 0.18/0.51 % (3794)Success in time 0.167 s
%------------------------------------------------------------------------------