TSTP Solution File: RNG104+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG104+1 : 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_uns --cores 0 -t %d %s
% Computer : n004.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 18:15:00 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 14 unt; 0 def)
% Number of atoms : 208 ( 60 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 247 ( 96 ~; 92 |; 44 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 90 ( 74 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f302,plain,
$false,
inference(avatar_sat_refutation,[],[f132,f136,f301]) ).
fof(f301,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f299,f113]) ).
fof(f113,plain,
aElement0(xz),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).
fof(f299,plain,
( ~ aElement0(xz)
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f294,f127]) ).
fof(f127,plain,
( aElement0(xx)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl5_1
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f294,plain,
( ~ aElement0(xx)
| ~ aElement0(xz) ),
inference(trivial_inequality_removal,[],[f293]) ).
fof(f293,plain,
( ~ aElement0(xz)
| ~ aElement0(xx)
| sdtasdt0(xx,xz) != sdtasdt0(xx,xz) ),
inference(superposition,[],[f257,f92]) ).
fof(f92,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f257,plain,
sdtasdt0(xz,xx) != sdtasdt0(xx,xz),
inference(subsumption_resolution,[],[f244,f113]) ).
fof(f244,plain,
( sdtasdt0(xz,xx) != sdtasdt0(xx,xz)
| ~ aElement0(xz) ),
inference(superposition,[],[f116,f157]) ).
fof(f157,plain,
! [X4] :
( sdtasdt0(xc,sdtasdt0(xu,X4)) = sdtasdt0(xx,X4)
| ~ aElement0(X4) ),
inference(subsumption_resolution,[],[f156,f90]) ).
fof(f90,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( xx = sdtasdt0(xc,xu)
& aElement0(xu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1956) ).
fof(f156,plain,
! [X4] :
( ~ aElement0(X4)
| ~ aElement0(xu)
| sdtasdt0(xc,sdtasdt0(xu,X4)) = sdtasdt0(xx,X4) ),
inference(subsumption_resolution,[],[f145,f115]) ).
fof(f115,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).
fof(f145,plain,
! [X4] :
( ~ aElement0(xc)
| sdtasdt0(xc,sdtasdt0(xu,X4)) = sdtasdt0(xx,X4)
| ~ aElement0(X4)
| ~ aElement0(xu) ),
inference(superposition,[],[f95,f91]) ).
fof(f91,plain,
xx = sdtasdt0(xc,xu),
inference(cnf_transformation,[],[f40]) ).
fof(f95,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X1,X0),X2) = sdtasdt0(X1,sdtasdt0(X0,X2))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),X2) = sdtasdt0(X1,sdtasdt0(X0,X2))
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X2,X1,X0] :
( ~ aElement0(X1)
| sdtasdt0(X1,sdtasdt0(X2,X0)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X2)
| ~ aElement0(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X1,X0,X2] :
( sdtasdt0(X1,sdtasdt0(X2,X0)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0,X2] :
( ( aElement0(X1)
& aElement0(X0)
& aElement0(X2) )
=> sdtasdt0(X1,sdtasdt0(X2,X0)) = sdtasdt0(sdtasdt0(X1,X2),X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f116,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(flattening,[],[f44]) ).
fof(f44,negated_conjecture,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f136,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f135,plain,
( $false
| spl5_2 ),
inference(subsumption_resolution,[],[f134,f115]) ).
fof(f134,plain,
( ~ aElement0(xc)
| spl5_2 ),
inference(resolution,[],[f131,f121]) ).
fof(f121,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aSet0(X1)
| slsdtgt0(X0) != X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) = X1
| ( ( ~ aElementOf0(sK2(X0,X1),X1)
| ! [X3] :
( sdtasdt0(X0,X3) != sK2(X0,X1)
| ~ aElement0(X3) ) )
& ( aElementOf0(sK2(X0,X1),X1)
| ( sdtasdt0(X0,sK3(X0,X1)) = sK2(X0,X1)
& aElement0(sK3(X0,X1)) ) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( ( sdtasdt0(X0,sK4(X0,X5)) = X5
& aElement0(sK4(X0,X5)) )
| ~ aElementOf0(X5,X1) )
& ( aElementOf0(X5,X1)
| ! [X7] :
( sdtasdt0(X0,X7) != X5
| ~ aElement0(X7) ) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f81,f84,f83,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( aElementOf0(X2,X1)
| ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) ) ) )
=> ( ( ~ aElementOf0(sK2(X0,X1),X1)
| ! [X3] :
( sdtasdt0(X0,X3) != sK2(X0,X1)
| ~ aElement0(X3) ) )
& ( aElementOf0(sK2(X0,X1),X1)
| ? [X4] :
( sdtasdt0(X0,X4) = sK2(X0,X1)
& aElement0(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK2(X0,X1)
& aElement0(X4) )
=> ( sdtasdt0(X0,sK3(X0,X1)) = sK2(X0,X1)
& aElement0(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0,X5] :
( ? [X6] :
( sdtasdt0(X0,X6) = X5
& aElement0(X6) )
=> ( sdtasdt0(X0,sK4(X0,X5)) = X5
& aElement0(sK4(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( aElementOf0(X2,X1)
| ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) ) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( ? [X6] :
( sdtasdt0(X0,X6) = X5
& aElement0(X6) )
| ~ aElementOf0(X5,X1) )
& ( aElementOf0(X5,X1)
| ! [X7] :
( sdtasdt0(X0,X7) != X5
| ~ aElement0(X7) ) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
<=> aElementOf0(X2,X1) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
<=> aElementOf0(X2,X1) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f131,plain,
( ~ aSet0(slsdtgt0(xc))
| spl5_2 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl5_2
<=> aSet0(slsdtgt0(xc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f132,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f123,f129,f125]) ).
fof(f123,plain,
( ~ aSet0(slsdtgt0(xc))
| aElement0(xx) ),
inference(resolution,[],[f111,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f111,plain,
aElementOf0(xx,slsdtgt0(xc)),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG104+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n004.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 12:05:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41 % (4023)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.42 % (4023)Instruction limit reached!
% 0.19/0.42 % (4023)------------------------------
% 0.19/0.42 % (4023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.42 % (4023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.42 % (4023)Termination reason: Unknown
% 0.19/0.42 % (4023)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (4023)Memory used [KB]: 6140
% 0.19/0.42 % (4023)Time elapsed: 0.013 s
% 0.19/0.42 % (4023)Instructions burned: 13 (million)
% 0.19/0.42 % (4023)------------------------------
% 0.19/0.42 % (4023)------------------------------
% 0.19/0.45 % (4029)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.47 % (4021)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.47 % (4021)Instruction limit reached!
% 0.19/0.47 % (4021)------------------------------
% 0.19/0.47 % (4021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (4021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (4021)Termination reason: Unknown
% 0.19/0.47 % (4021)Termination phase: shuffling
% 0.19/0.47
% 0.19/0.47 % (4021)Memory used [KB]: 1535
% 0.19/0.47 % (4021)Time elapsed: 0.003 s
% 0.19/0.47 % (4021)Instructions burned: 4 (million)
% 0.19/0.47 % (4021)------------------------------
% 0.19/0.47 % (4021)------------------------------
% 0.19/0.47 % (4029)Instruction limit reached!
% 0.19/0.47 % (4029)------------------------------
% 0.19/0.47 % (4029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (4029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (4029)Termination reason: Unknown
% 0.19/0.47 % (4029)Termination phase: Saturation
% 0.19/0.47
% 0.19/0.47 % (4029)Memory used [KB]: 6268
% 0.19/0.47 % (4029)Time elapsed: 0.077 s
% 0.19/0.47 % (4029)Instructions burned: 12 (million)
% 0.19/0.47 % (4029)------------------------------
% 0.19/0.47 % (4029)------------------------------
% 0.19/0.48 % (4045)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.48 % (4084)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/92Mi)
% 0.19/0.48 % (4036)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (4036)Instruction limit reached!
% 0.19/0.49 % (4036)------------------------------
% 0.19/0.49 % (4036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (4036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (4036)Termination reason: Unknown
% 0.19/0.49 % (4036)Termination phase: Preprocessing 3
% 0.19/0.49
% 0.19/0.49 % (4036)Memory used [KB]: 1535
% 0.19/0.49 % (4036)Time elapsed: 0.003 s
% 0.19/0.49 % (4036)Instructions burned: 4 (million)
% 0.19/0.49 % (4036)------------------------------
% 0.19/0.49 % (4036)------------------------------
% 0.19/0.49 % (4084)First to succeed.
% 0.19/0.50 % (4084)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (4084)------------------------------
% 0.19/0.50 % (4084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (4084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (4084)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (4084)Memory used [KB]: 6140
% 0.19/0.50 % (4084)Time elapsed: 0.017 s
% 0.19/0.50 % (4084)Instructions burned: 8 (million)
% 0.19/0.50 % (4084)------------------------------
% 0.19/0.50 % (4084)------------------------------
% 0.19/0.50 % (4016)Success in time 0.144 s
%------------------------------------------------------------------------------