TSTP Solution File: SYN920+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN920+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n024.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 19:46:06 EDT 2022
% Result : Theorem 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 1 unt; 0 def)
% Number of atoms : 219 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 263 ( 94 ~; 91 |; 48 &)
% ( 7 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 50 ( 36 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f34,f39,f44,f49,f50,f51,f60,f62,f66]) ).
fof(f66,plain,
( ~ spl2_1
| spl2_3
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f65,plain,
( $false
| ~ spl2_1
| spl2_3
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f64,f29]) ).
fof(f29,plain,
( ~ g(sK1)
| spl2_3 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl2_3
<=> g(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f64,plain,
( g(sK1)
| ~ spl2_1
| ~ spl2_6 ),
inference(resolution,[],[f21,f43]) ).
fof(f43,plain,
( f(sK1)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl2_6
<=> f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f21,plain,
( ! [X3] :
( ~ f(X3)
| g(X3) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl2_1
<=> ! [X3] :
( g(X3)
| ~ f(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f62,plain,
( ~ spl2_5
| ~ spl2_4
| spl2_7 ),
inference(avatar_split_clause,[],[f61,f46,f31,f36]) ).
fof(f36,plain,
( spl2_5
<=> f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f31,plain,
( spl2_4
<=> g(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f46,plain,
( spl2_7
<=> h(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f61,plain,
( ~ f(sK0)
| ~ spl2_4
| spl2_7 ),
inference(subsumption_resolution,[],[f56,f48]) ).
fof(f48,plain,
( ~ h(sK0)
| spl2_7 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f56,plain,
( ~ f(sK0)
| h(sK0)
| ~ spl2_4 ),
inference(resolution,[],[f18,f33]) ).
fof(f33,plain,
( g(sK0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f18,plain,
! [X0] :
( ~ g(X0)
| ~ f(X0)
| h(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0] :
( ~ f(X0)
| h(X0)
| ~ g(X0) )
& ! [X1] :
( ~ f(X1)
| ~ h(X1)
| g(X1) )
& ( ! [X2] :
( h(X2)
| ~ f(X2) )
| ! [X3] :
( ~ f(X3)
| g(X3) ) )
& ( ( g(sK0)
& f(sK0)
& ~ h(sK0) )
| ( ~ g(sK1)
& f(sK1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X4] :
( g(X4)
& f(X4)
& ~ h(X4) )
=> ( g(sK0)
& f(sK0)
& ~ h(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X5] :
( ~ g(X5)
& f(X5) )
=> ( ~ g(sK1)
& f(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0] :
( ~ f(X0)
| h(X0)
| ~ g(X0) )
& ! [X1] :
( ~ f(X1)
| ~ h(X1)
| g(X1) )
& ( ! [X2] :
( h(X2)
| ~ f(X2) )
| ! [X3] :
( ~ f(X3)
| g(X3) ) )
& ( ? [X4] :
( g(X4)
& f(X4)
& ~ h(X4) )
| ? [X5] :
( ~ g(X5)
& f(X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X5] :
( ~ f(X5)
| h(X5)
| ~ g(X5) )
& ! [X4] :
( ~ f(X4)
| ~ h(X4)
| g(X4) )
& ( ! [X2] :
( h(X2)
| ~ f(X2) )
| ! [X3] :
( ~ f(X3)
| g(X3) ) )
& ( ? [X0] :
( g(X0)
& f(X0)
& ~ h(X0) )
| ? [X1] :
( ~ g(X1)
& f(X1) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X5] :
( ~ f(X5)
| h(X5)
| ~ g(X5) )
& ! [X4] :
( g(X4)
| ~ f(X4)
| ~ h(X4) )
& ( ! [X2] :
( h(X2)
| ~ f(X2) )
| ! [X3] :
( ~ f(X3)
| g(X3) ) )
& ( ? [X1] :
( ~ g(X1)
& f(X1) )
| ? [X0] :
( ~ h(X0)
& g(X0)
& f(X0) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ( ! [X2] :
( f(X2)
=> h(X2) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( ~ g(X1)
& f(X1) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( f(X5)
& g(X5)
& ~ h(X5) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X0] :
( f(X0)
& ~ g(X0) ) )
& ( ! [X2] :
( f(X2)
=> h(X2) )
| ! [X1] :
( f(X1)
=> g(X1) ) ) )
=> ( ! [X3] :
( ( h(X3)
& f(X3) )
=> g(X3) )
=> ? [X4] :
( g(X4)
& ~ h(X4)
& f(X4) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X0] :
( f(X0)
& ~ g(X0) ) )
& ( ! [X2] :
( f(X2)
=> h(X2) )
| ! [X1] :
( f(X1)
=> g(X1) ) ) )
=> ( ! [X3] :
( ( h(X3)
& f(X3) )
=> g(X3) )
=> ? [X4] :
( g(X4)
& ~ h(X4)
& f(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f60,plain,
( ~ spl2_2
| spl2_3
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| ~ spl2_2
| spl2_3
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f58,f43]) ).
fof(f58,plain,
( ~ f(sK1)
| ~ spl2_2
| spl2_3
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f57,f29]) ).
fof(f57,plain,
( g(sK1)
| ~ f(sK1)
| ~ spl2_2
| ~ spl2_6 ),
inference(resolution,[],[f55,f17]) ).
fof(f17,plain,
! [X1] :
( ~ h(X1)
| g(X1)
| ~ f(X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f55,plain,
( h(sK1)
| ~ spl2_2
| ~ spl2_6 ),
inference(resolution,[],[f43,f24]) ).
fof(f24,plain,
( ! [X2] :
( ~ f(X2)
| h(X2) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl2_2
<=> ! [X2] :
( ~ f(X2)
| h(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f51,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f12,f41,f36]) ).
fof(f12,plain,
( f(sK1)
| f(sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f50,plain,
( ~ spl2_7
| spl2_6 ),
inference(avatar_split_clause,[],[f10,f41,f46]) ).
fof(f10,plain,
( f(sK1)
| ~ h(sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
( ~ spl2_3
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f11,f46,f27]) ).
fof(f11,plain,
( ~ h(sK0)
| ~ g(sK1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f44,plain,
( spl2_6
| spl2_4 ),
inference(avatar_split_clause,[],[f14,f31,f41]) ).
fof(f14,plain,
( g(sK0)
| f(sK1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
( ~ spl2_3
| spl2_5 ),
inference(avatar_split_clause,[],[f13,f36,f27]) ).
fof(f13,plain,
( f(sK0)
| ~ g(sK1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f15,f31,f27]) ).
fof(f15,plain,
( g(sK0)
| ~ g(sK1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f16,f23,f20]) ).
fof(f16,plain,
! [X2,X3] :
( ~ f(X2)
| g(X3)
| h(X2)
| ~ f(X3) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN920+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.08 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.27 % Computer : n024.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue Aug 30 22:33:49 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.13/0.44 % (27037)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.13/0.44 % (27039)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.45 % (27039)Instruction limit reached!
% 0.13/0.45 % (27039)------------------------------
% 0.13/0.45 % (27039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.45 % (27039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.45 % (27039)Termination reason: Unknown
% 0.13/0.45 % (27039)Termination phase: Saturation
% 0.13/0.45
% 0.13/0.45 % (27039)Memory used [KB]: 5373
% 0.13/0.45 % (27039)Time elapsed: 0.108 s
% 0.13/0.45 % (27039)Instructions burned: 2 (million)
% 0.13/0.45 % (27039)------------------------------
% 0.13/0.45 % (27039)------------------------------
% 0.13/0.45 % (27055)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.13/0.45 % (27045)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 (3000ds/68Mi)
% 0.13/0.46 % (27047)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 (3000ds/99Mi)
% 0.13/0.46 % (27055)First to succeed.
% 0.13/0.46 % (27047)Also succeeded, but the first one will report.
% 0.13/0.46 % (27048)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.13/0.46 % (27055)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Theorem for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.46 % (27055)------------------------------
% 0.13/0.46 % (27055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.46 % (27055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.46 % (27055)Termination reason: Refutation
% 0.13/0.46
% 0.13/0.46 % (27055)Memory used [KB]: 5373
% 0.13/0.46 % (27055)Time elapsed: 0.118 s
% 0.13/0.46 % (27055)Instructions burned: 2 (million)
% 0.13/0.46 % (27055)------------------------------
% 0.13/0.46 % (27055)------------------------------
% 0.13/0.46 % (27030)Success in time 0.178 s
%------------------------------------------------------------------------------