TSTP Solution File: COM012+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM012+3 : 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 : n015.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 15:53:09 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 11 unt; 0 def)
% Number of atoms : 248 ( 27 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 276 ( 73 ~; 88 |; 104 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 41 ( 24 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f168,plain,
$false,
inference(avatar_sat_refutation,[],[f95,f109,f134,f148,f167]) ).
fof(f167,plain,
( ~ spl3_4
| ~ spl3_8 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f166,plain,
( $false
| ~ spl3_4
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f163,f108]) ).
fof(f108,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl3_8
<=> sdtmndtplgtdt0(xx,xR,xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f163,plain,
( ~ sdtmndtplgtdt0(xx,xR,xy)
| ~ spl3_4 ),
inference(unit_resulting_resolution,[],[f69,f70,f71,f68,f49,f90,f43]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtplgtdt0(X2,X3,X1)
| ~ aElement0(X0)
| sdtmndtplgtdt0(X0,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X0,X3,X2)
| ~ aRewritingSystem0(X3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X2,X3,X1)
| sdtmndtplgtdt0(X0,X3,X1)
| ~ sdtmndtplgtdt0(X0,X3,X2)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X3,X2,X1] :
( ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| sdtmndtplgtdt0(X0,X1,X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X3,X1] :
( sdtmndtplgtdt0(X0,X1,X3)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X3,X1] :
( ( aElement0(X3)
& aRewritingSystem0(X1)
& aElement0(X0)
& aElement0(X2) )
=> ( ( sdtmndtplgtdt0(X2,X1,X3)
& sdtmndtplgtdt0(X0,X1,X2) )
=> sdtmndtplgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCTrans) ).
fof(f90,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl3_4
<=> sdtmndtplgtdt0(xy,xR,xz) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f49,plain,
~ sdtmndtplgtdt0(xx,xR,xz),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( sdtmndtasgtdt0(xx,xR,xy)
& ~ aReductOfIn0(xz,xx,xR)
& ! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,xx,xR)
| ~ sdtmndtplgtdt0(X0,xR,xz) )
& ( ( sdtmndtplgtdt0(xx,xR,xy)
& ( ( sdtmndtplgtdt0(sK0,xR,xy)
& aReductOfIn0(sK0,xx,xR)
& aElement0(sK0) )
| aReductOfIn0(xy,xx,xR) ) )
| xx = xy )
& sdtmndtasgtdt0(xy,xR,xz)
& ~ sdtmndtasgtdt0(xx,xR,xz)
& ( xy = xz
| ( ( aReductOfIn0(xz,xy,xR)
| ( sdtmndtplgtdt0(sK1,xR,xz)
& aReductOfIn0(sK1,xy,xR)
& aElement0(sK1) ) )
& sdtmndtplgtdt0(xy,xR,xz) ) )
& ~ sdtmndtplgtdt0(xx,xR,xz)
& xx != xz ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f34,f36,f35]) ).
fof(f35,plain,
( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xy)
& aReductOfIn0(X1,xx,xR)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(sK0,xR,xy)
& aReductOfIn0(sK0,xx,xR)
& aElement0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ? [X2] :
( sdtmndtplgtdt0(X2,xR,xz)
& aReductOfIn0(X2,xy,xR)
& aElement0(X2) )
=> ( sdtmndtplgtdt0(sK1,xR,xz)
& aReductOfIn0(sK1,xy,xR)
& aElement0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( sdtmndtasgtdt0(xx,xR,xy)
& ~ aReductOfIn0(xz,xx,xR)
& ! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,xx,xR)
| ~ sdtmndtplgtdt0(X0,xR,xz) )
& ( ( sdtmndtplgtdt0(xx,xR,xy)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xy)
& aReductOfIn0(X1,xx,xR)
& aElement0(X1) )
| aReductOfIn0(xy,xx,xR) ) )
| xx = xy )
& sdtmndtasgtdt0(xy,xR,xz)
& ~ sdtmndtasgtdt0(xx,xR,xz)
& ( xy = xz
| ( ( aReductOfIn0(xz,xy,xR)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,xz)
& aReductOfIn0(X2,xy,xR)
& aElement0(X2) ) )
& sdtmndtplgtdt0(xy,xR,xz) ) )
& ~ sdtmndtplgtdt0(xx,xR,xz)
& xx != xz ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
( sdtmndtasgtdt0(xx,xR,xy)
& ~ aReductOfIn0(xz,xx,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xx,xR)
| ~ sdtmndtplgtdt0(X2,xR,xz) )
& ( ( sdtmndtplgtdt0(xx,xR,xy)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xy)
& aReductOfIn0(X1,xx,xR)
& aElement0(X1) )
| aReductOfIn0(xy,xx,xR) ) )
| xx = xy )
& sdtmndtasgtdt0(xy,xR,xz)
& ~ sdtmndtasgtdt0(xx,xR,xz)
& ( xy = xz
| ( ( aReductOfIn0(xz,xy,xR)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xy,xR)
& aElement0(X0) ) )
& sdtmndtplgtdt0(xy,xR,xz) ) )
& ~ sdtmndtplgtdt0(xx,xR,xz)
& xx != xz ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
( ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xx,xR)
| ~ sdtmndtplgtdt0(X2,xR,xz) )
& ~ sdtmndtasgtdt0(xx,xR,xz)
& ~ sdtmndtplgtdt0(xx,xR,xz)
& ~ aReductOfIn0(xz,xx,xR)
& xx != xz
& ( ( sdtmndtplgtdt0(xx,xR,xy)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xy)
& aReductOfIn0(X1,xx,xR)
& aElement0(X1) )
| aReductOfIn0(xy,xx,xR) ) )
| xx = xy )
& sdtmndtasgtdt0(xy,xR,xz)
& ( xy = xz
| ( ( aReductOfIn0(xz,xy,xR)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xy,xR)
& aElement0(X0) ) )
& sdtmndtplgtdt0(xy,xR,xz) ) )
& sdtmndtasgtdt0(xx,xR,xy) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ( ( ( ( sdtmndtplgtdt0(xx,xR,xy)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xy)
& aReductOfIn0(X1,xx,xR)
& aElement0(X1) )
| aReductOfIn0(xy,xx,xR) ) )
| xx = xy )
& sdtmndtasgtdt0(xy,xR,xz)
& ( xy = xz
| ( ( aReductOfIn0(xz,xy,xR)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xy,xR)
& aElement0(X0) ) )
& sdtmndtplgtdt0(xy,xR,xz) ) )
& sdtmndtasgtdt0(xx,xR,xy) )
=> ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,xz)
& aElement0(X2)
& aReductOfIn0(X2,xx,xR) )
| sdtmndtasgtdt0(xx,xR,xz)
| sdtmndtplgtdt0(xx,xR,xz)
| aReductOfIn0(xz,xx,xR)
| xx = xz ) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ( ( ( xy = xz
| ( ( aReductOfIn0(xz,xy,xR)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xy,xR)
& aElement0(X0) ) )
& sdtmndtplgtdt0(xy,xR,xz) ) )
& sdtmndtasgtdt0(xy,xR,xz)
& ( ( ( aReductOfIn0(xy,xx,xR)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xy)
& aElement0(X0)
& aReductOfIn0(X0,xx,xR) ) )
& sdtmndtplgtdt0(xx,xR,xy) )
| xx = xy )
& sdtmndtasgtdt0(xx,xR,xy) )
=> ( aReductOfIn0(xz,xx,xR)
| ? [X0] :
( aElement0(X0)
& sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xx,xR) )
| xx = xz
| sdtmndtplgtdt0(xx,xR,xz)
| sdtmndtasgtdt0(xx,xR,xz) ) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
( ( ( xy = xz
| ( ( aReductOfIn0(xz,xy,xR)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xy,xR)
& aElement0(X0) ) )
& sdtmndtplgtdt0(xy,xR,xz) ) )
& sdtmndtasgtdt0(xy,xR,xz)
& ( ( ( aReductOfIn0(xy,xx,xR)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xy)
& aElement0(X0)
& aReductOfIn0(X0,xx,xR) ) )
& sdtmndtplgtdt0(xx,xR,xy) )
| xx = xy )
& sdtmndtasgtdt0(xx,xR,xy) )
=> ( aReductOfIn0(xz,xx,xR)
| ? [X0] :
( aElement0(X0)
& sdtmndtplgtdt0(X0,xR,xz)
& aReductOfIn0(X0,xx,xR) )
| xx = xz
| sdtmndtplgtdt0(xx,xR,xz)
| sdtmndtasgtdt0(xx,xR,xz) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f68,plain,
aElement0(xy),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( aElement0(xz)
& aElement0(xx)
& aRewritingSystem0(xR)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).
fof(f71,plain,
aElement0(xz),
inference(cnf_transformation,[],[f9]) ).
fof(f70,plain,
aElement0(xx),
inference(cnf_transformation,[],[f9]) ).
fof(f69,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f9]) ).
fof(f148,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f147,plain,
( $false
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f139,f62]) ).
fof(f62,plain,
sdtmndtasgtdt0(xx,xR,xy),
inference(cnf_transformation,[],[f37]) ).
fof(f139,plain,
( ~ sdtmndtasgtdt0(xx,xR,xy)
| ~ spl3_5 ),
inference(backward_demodulation,[],[f54,f94]) ).
fof(f94,plain,
( xy = xz
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl3_5
<=> xy = xz ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f54,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(cnf_transformation,[],[f37]) ).
fof(f134,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f133,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f131,f54]) ).
fof(f131,plain,
( sdtmndtasgtdt0(xx,xR,xz)
| ~ spl3_3 ),
inference(backward_demodulation,[],[f55,f85]) ).
fof(f85,plain,
( xx = xy
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl3_3
<=> xx = xy ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f55,plain,
sdtmndtasgtdt0(xy,xR,xz),
inference(cnf_transformation,[],[f37]) ).
fof(f109,plain,
( spl3_3
| spl3_8 ),
inference(avatar_split_clause,[],[f59,f106,f83]) ).
fof(f59,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| xx = xy ),
inference(cnf_transformation,[],[f37]) ).
fof(f95,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f50,f92,f88]) ).
fof(f50,plain,
( xy = xz
| sdtmndtplgtdt0(xy,xR,xz) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % 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 : n015.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 : Mon Aug 29 17:15:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.50 % (7932)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)
% 0.19/0.50 % (7942)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (7950)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.50 % (7935)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (7953)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)
% 0.19/0.50 % (7936)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50 % (7929)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)
% 0.19/0.51 % (7934)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (7936)First to succeed.
% 0.19/0.51 % (7941)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (7940)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (7929)Instruction limit reached!
% 0.19/0.51 % (7929)------------------------------
% 0.19/0.51 % (7929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7929)Termination reason: Unknown
% 0.19/0.51 % (7929)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (7929)Memory used [KB]: 5884
% 0.19/0.51 % (7929)Time elapsed: 0.099 s
% 0.19/0.51 % (7929)Instructions burned: 3 (million)
% 0.19/0.51 % (7929)------------------------------
% 0.19/0.51 % (7929)------------------------------
% 0.19/0.51 % (7928)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (7928)Also succeeded, but the first one will report.
% 0.19/0.51 % (7947)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.51 % (7936)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (7936)------------------------------
% 0.19/0.51 % (7936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7936)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (7936)Memory used [KB]: 6012
% 0.19/0.51 % (7936)Time elapsed: 0.116 s
% 0.19/0.51 % (7936)Instructions burned: 5 (million)
% 0.19/0.51 % (7936)------------------------------
% 0.19/0.51 % (7936)------------------------------
% 0.19/0.51 % (7923)Success in time 0.171 s
%------------------------------------------------------------------------------