TSTP Solution File: RNG108+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG108+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : n021.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 18:15:52 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 15 unt; 0 def)
% Number of atoms : 202 ( 62 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 255 ( 115 ~; 90 |; 39 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 38 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f571,plain,
$false,
inference(avatar_sat_refutation,[],[f414,f427,f436,f437,f524,f536,f558,f569]) ).
fof(f569,plain,
~ spl38_14,
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f568,plain,
( $false
| ~ spl38_14 ),
inference(subsumption_resolution,[],[f559,f518]) ).
fof(f518,plain,
sz00 = sdtasdt0(xb,sz00),
inference(resolution,[],[f306,f290]) ).
fof(f290,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f306,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ aElement0(X0)
| ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(X0,sz00)
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f559,plain,
( sz00 != sdtasdt0(xb,sz00)
| ~ spl38_14 ),
inference(resolution,[],[f435,f224]) ).
fof(f224,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f435,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 != sdtasdt0(xb,X0) )
| ~ spl38_14 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl38_14
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 != sdtasdt0(xb,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_14])]) ).
fof(f558,plain,
~ spl38_6,
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f557,plain,
( $false
| ~ spl38_6 ),
inference(subsumption_resolution,[],[f530,f466]) ).
fof(f466,plain,
( xb != sdtasdt0(xb,sz10)
| ~ spl38_6 ),
inference(resolution,[],[f398,f304]) ).
fof(f304,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f398,plain,
( ! [X1] :
( ~ aElement0(X1)
| xb != sdtasdt0(xb,X1) )
| ~ spl38_6 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f397,plain,
( spl38_6
<=> ! [X1] :
( xb != sdtasdt0(xb,X1)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_6])]) ).
fof(f530,plain,
xb = sdtasdt0(xb,sz10),
inference(resolution,[],[f331,f290]) ).
fof(f331,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ~ aElement0(X0)
| ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(f536,plain,
~ spl38_10,
inference(avatar_contradiction_clause,[],[f535]) ).
fof(f535,plain,
( $false
| ~ spl38_10 ),
inference(subsumption_resolution,[],[f529,f475]) ).
fof(f475,plain,
( xa != sdtasdt0(xa,sz10)
| ~ spl38_10 ),
inference(resolution,[],[f417,f304]) ).
fof(f417,plain,
( ! [X0] :
( ~ aElement0(X0)
| xa != sdtasdt0(xa,X0) )
| ~ spl38_10 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl38_10
<=> ! [X0] :
( ~ aElement0(X0)
| xa != sdtasdt0(xa,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_10])]) ).
fof(f529,plain,
xa = sdtasdt0(xa,sz10),
inference(resolution,[],[f331,f291]) ).
fof(f291,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f524,plain,
~ spl38_1,
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f523,plain,
( $false
| ~ spl38_1 ),
inference(subsumption_resolution,[],[f517,f456]) ).
fof(f456,plain,
( sz00 != sdtasdt0(xa,sz00)
| ~ spl38_1 ),
inference(resolution,[],[f378,f224]) ).
fof(f378,plain,
( ! [X2] :
( ~ aElement0(X2)
| sz00 != sdtasdt0(xa,X2) )
| ~ spl38_1 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl38_1
<=> ! [X2] :
( ~ aElement0(X2)
| sz00 != sdtasdt0(xa,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1])]) ).
fof(f517,plain,
sz00 = sdtasdt0(xa,sz00),
inference(resolution,[],[f306,f291]) ).
fof(f437,plain,
( ~ spl38_9
| ~ spl38_12
| spl38_6
| spl38_4 ),
inference(avatar_split_clause,[],[f369,f388,f397,f424,f411]) ).
fof(f411,plain,
( spl38_9
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_9])]) ).
fof(f424,plain,
( spl38_12
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_12])]) ).
fof(f388,plain,
( spl38_4
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_4])]) ).
fof(f369,plain,
! [X1] :
( sP0
| ~ aElement0(X1)
| ~ sP34
| ~ sP33
| xb != sdtasdt0(xb,X1) ),
inference(general_splitting,[],[f367,f368_D]) ).
fof(f368,plain,
! [X0] :
( sP34
| ~ aElement0(X0)
| xa != sdtasdt0(xa,X0) ),
inference(cnf_transformation,[],[f368_D]) ).
fof(f368_D,plain,
( ! [X0] :
( ~ aElement0(X0)
| xa != sdtasdt0(xa,X0) )
<=> ~ sP34 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).
fof(f367,plain,
! [X0,X1] :
( xa != sdtasdt0(xa,X0)
| ~ aElement0(X0)
| xb != sdtasdt0(xb,X1)
| ~ aElement0(X1)
| sP0
| ~ sP33 ),
inference(general_splitting,[],[f216,f366_D]) ).
fof(f366,plain,
! [X2] :
( ~ aElement0(X2)
| sP33
| sz00 != sdtasdt0(xa,X2) ),
inference(cnf_transformation,[],[f366_D]) ).
fof(f366_D,plain,
( ! [X2] :
( ~ aElement0(X2)
| sz00 != sdtasdt0(xa,X2) )
<=> ~ sP33 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).
fof(f216,plain,
! [X2,X0,X1] :
( xa != sdtasdt0(xa,X0)
| ~ aElement0(X0)
| xb != sdtasdt0(xb,X1)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sz00 != sdtasdt0(xa,X2)
| sP0 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( ~ aElementOf0(xa,slsdtgt0(xa))
& ! [X0] :
( xa != sdtasdt0(xa,X0)
| ~ aElement0(X0) ) )
| ( ! [X1] :
( xb != sdtasdt0(xb,X1)
| ~ aElement0(X1) )
& ~ aElementOf0(xb,slsdtgt0(xb)) )
| ( ! [X2] :
( ~ aElement0(X2)
| sz00 != sdtasdt0(xa,X2) )
& ~ aElementOf0(sz00,slsdtgt0(xa)) )
| sP0 ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
( ( ~ aElementOf0(xa,slsdtgt0(xa))
& ! [X2] :
( xa != sdtasdt0(xa,X2)
| ~ aElement0(X2) ) )
| ( ! [X0] :
( xb != sdtasdt0(xb,X0)
| ~ aElement0(X0) )
& ~ aElementOf0(xb,slsdtgt0(xb)) )
| ( ! [X1] :
( ~ aElement0(X1)
| sz00 != sdtasdt0(xa,X1) )
& ~ aElementOf0(sz00,slsdtgt0(xa)) )
| sP0 ),
inference(definition_folding,[],[f89,f123]) ).
fof(f123,plain,
( ( ! [X3] :
( sz00 != sdtasdt0(xb,X3)
| ~ aElement0(X3) )
& ~ aElementOf0(sz00,slsdtgt0(xb)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f89,plain,
( ( ~ aElementOf0(xa,slsdtgt0(xa))
& ! [X2] :
( xa != sdtasdt0(xa,X2)
| ~ aElement0(X2) ) )
| ( ! [X0] :
( xb != sdtasdt0(xb,X0)
| ~ aElement0(X0) )
& ~ aElementOf0(xb,slsdtgt0(xb)) )
| ( ! [X1] :
( ~ aElement0(X1)
| sz00 != sdtasdt0(xa,X1) )
& ~ aElementOf0(sz00,slsdtgt0(xa)) )
| ( ! [X3] :
( sz00 != sdtasdt0(xb,X3)
| ~ aElement0(X3) )
& ~ aElementOf0(sz00,slsdtgt0(xb)) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ( ( aElementOf0(xa,slsdtgt0(xa))
| ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) ) )
& ( aElementOf0(sz00,slsdtgt0(xb))
| ? [X3] :
( aElement0(X3)
& sz00 = sdtasdt0(xb,X3) ) )
& ( aElementOf0(sz00,slsdtgt0(xa))
| ? [X1] :
( sz00 = sdtasdt0(xa,X1)
& aElement0(X1) ) )
& ( ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
| aElementOf0(xb,slsdtgt0(xb)) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ( ( ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
| aElementOf0(xb,slsdtgt0(xb)) )
& ( ? [X0] :
( aElement0(X0)
& sz00 = sdtasdt0(xa,X0) )
| aElementOf0(sz00,slsdtgt0(xa)) )
& ( ? [X0] :
( aElement0(X0)
& xa = sdtasdt0(xa,X0) )
| aElementOf0(xa,slsdtgt0(xa)) )
& ( aElementOf0(sz00,slsdtgt0(xb))
| ? [X0] :
( aElement0(X0)
& sz00 = sdtasdt0(xb,X0) ) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
( ( ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
| aElementOf0(xb,slsdtgt0(xb)) )
& ( ? [X0] :
( aElement0(X0)
& sz00 = sdtasdt0(xa,X0) )
| aElementOf0(sz00,slsdtgt0(xa)) )
& ( ? [X0] :
( aElement0(X0)
& xa = sdtasdt0(xa,X0) )
| aElementOf0(xa,slsdtgt0(xa)) )
& ( aElementOf0(sz00,slsdtgt0(xb))
| ? [X0] :
( aElement0(X0)
& sz00 = sdtasdt0(xb,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f436,plain,
( ~ spl38_4
| spl38_14 ),
inference(avatar_split_clause,[],[f212,f434,f388]) ).
fof(f212,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 != sdtasdt0(xb,X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( ! [X0] :
( sz00 != sdtasdt0(xb,X0)
| ~ aElement0(X0) )
& ~ aElementOf0(sz00,slsdtgt0(xb)) )
| ~ sP0 ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
( ( ! [X3] :
( sz00 != sdtasdt0(xb,X3)
| ~ aElement0(X3) )
& ~ aElementOf0(sz00,slsdtgt0(xb)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f123]) ).
fof(f427,plain,
( spl38_10
| spl38_12 ),
inference(avatar_split_clause,[],[f368,f424,f416]) ).
fof(f414,plain,
( spl38_9
| spl38_1 ),
inference(avatar_split_clause,[],[f366,f377,f411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG108+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 12:05:41 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.20/0.51 % (5201)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)
% 0.20/0.51 % (5203)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (5203)Instruction limit reached!
% 0.20/0.52 % (5203)------------------------------
% 0.20/0.52 % (5203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5203)Termination reason: Unknown
% 0.20/0.52 % (5203)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (5203)Memory used [KB]: 5628
% 0.20/0.52 % (5203)Time elapsed: 0.006 s
% 0.20/0.52 % (5203)Instructions burned: 7 (million)
% 0.20/0.52 % (5203)------------------------------
% 0.20/0.52 % (5203)------------------------------
% 0.20/0.52 % (5222)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (5209)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (5220)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)
% 0.20/0.53 % (5204)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (5201)First to succeed.
% 0.20/0.53 % (5198)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)
% 0.20/0.53 % (5201)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (5201)------------------------------
% 0.20/0.53 % (5201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5201)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (5201)Memory used [KB]: 5884
% 0.20/0.53 % (5201)Time elapsed: 0.115 s
% 0.20/0.53 % (5201)Instructions burned: 16 (million)
% 0.20/0.53 % (5201)------------------------------
% 0.20/0.53 % (5201)------------------------------
% 0.20/0.53 % (5195)Success in time 0.178 s
%------------------------------------------------------------------------------