TSTP Solution File: COM128+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COM128+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n027.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 15:53:56 EDT 2022
% Result : Theorem 1.43s 0.53s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 16 unt; 0 def)
% Number of atoms : 130 ( 69 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 142 ( 56 ~; 46 |; 22 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 104 ( 92 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f679,plain,
$false,
inference(subsumption_resolution,[],[f678,f642]) ).
fof(f642,plain,
visFreeVar(sK86,sF92),
inference(superposition,[],[f574,f635]) ).
fof(f635,plain,
vvar(sK86) = sF92,
introduced(function_definition,[]) ).
fof(f574,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f573]) ).
fof(f573,plain,
! [X2,X3] :
( visFreeVar(X3,vvar(X2))
| X2 != X3 ),
inference(equality_resolution,[],[f572]) ).
fof(f572,plain,
! [X2,X3,X0] :
( X0 != X2
| visFreeVar(X3,vvar(X0))
| X2 != X3 ),
inference(equality_resolution,[],[f450]) ).
fof(f450,plain,
! [X2,X3,X0,X1] :
( vvar(X0) != X1
| X0 != X2
| visFreeVar(X3,X1)
| X2 != X3 ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0,X1,X2,X3] :
( vvar(X0) != X1
| ( ( X0 = X2
| ~ visFreeVar(X3,X1) )
& ( X0 != X2
| visFreeVar(X3,X1) ) )
| X2 != X3 ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X2,X0,X3,X1] :
( vvar(X2) != X0
| ( ( X2 = X3
| ~ visFreeVar(X1,X0) )
& ( X2 != X3
| visFreeVar(X1,X0) ) )
| X1 != X3 ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X3,X1,X2,X0] :
( ( ( X2 = X3
| ~ visFreeVar(X1,X0) )
& ( X2 != X3
| visFreeVar(X1,X0) ) )
| X1 != X3
| vvar(X2) != X0 ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,plain,
! [X3,X1,X2,X0] :
( ( X1 = X3
& vvar(X2) = X0 )
=> ( ( X2 = X3
=> visFreeVar(X1,X0) )
& ( visFreeVar(X1,X0)
=> X2 = X3 ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X0,X8,X13] :
( ( vvar(X8) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> X8 = X13 )
& ( X8 = X13
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar0) ).
fof(f678,plain,
~ visFreeVar(sK86,sF92),
inference(forward_demodulation,[],[f677,f640]) ).
fof(f640,plain,
vgensym(sF93) = sK86,
inference(forward_demodulation,[],[f637,f638]) ).
fof(f638,plain,
sF94 = sK86,
inference(definition_folding,[],[f522,f637,f636,f635,f634]) ).
fof(f634,plain,
sF91 = vapp(sK85,sK84),
introduced(function_definition,[]) ).
fof(f636,plain,
vapp(sF91,sF92) = sF93,
introduced(function_definition,[]) ).
fof(f522,plain,
vgensym(vapp(vapp(sK85,sK84),vvar(sK86))) = sK86,
inference(definition_unfolding,[],[f504,f505]) ).
fof(f505,plain,
sK87 = sK86,
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
( sK87 = sK86
& vgensym(vapp(vapp(sK85,sK84),vvar(sK86))) = sK87 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84,sK85,sK86,sK87])],[f347,f348]) ).
fof(f348,plain,
( ? [X0,X1,X2,X3] :
( X2 = X3
& vgensym(vapp(vapp(X1,X0),vvar(X2))) = X3 )
=> ( sK87 = sK86
& vgensym(vapp(vapp(sK85,sK84),vvar(sK86))) = sK87 ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
? [X0,X1,X2,X3] :
( X2 = X3
& vgensym(vapp(vapp(X1,X0),vvar(X2))) = X3 ),
inference(rectify,[],[f216]) ).
fof(f216,plain,
? [X0,X3,X2,X1] :
( X1 = X2
& vgensym(vapp(vapp(X3,X0),vvar(X2))) = X1 ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
~ ! [X1,X2,X0,X3] :
( vgensym(vapp(vapp(X3,X0),vvar(X2))) = X1
=> X1 != X2 ),
inference(rectify,[],[f66]) ).
fof(f66,negated_conjecture,
~ ! [X11,X23,X8,X10] :
( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
=> X8 != X23 ),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
! [X11,X23,X8,X10] :
( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
=> X8 != X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-unequal-var-3') ).
fof(f504,plain,
vgensym(vapp(vapp(sK85,sK84),vvar(sK86))) = sK87,
inference(cnf_transformation,[],[f349]) ).
fof(f637,plain,
vgensym(sF93) = sF94,
introduced(function_definition,[]) ).
fof(f677,plain,
~ visFreeVar(vgensym(sF93),sF92),
inference(superposition,[],[f669,f636]) ).
fof(f669,plain,
! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X1),
inference(resolution,[],[f558,f529]) ).
fof(f529,plain,
! [X0] : ~ visFreeVar(vgensym(X0),X0),
inference(equality_resolution,[],[f400]) ).
fof(f400,plain,
! [X0,X1] :
( ~ visFreeVar(X1,X0)
| vgensym(X0) != X1 ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0,X1] :
( ~ visFreeVar(X1,X0)
| vgensym(X0) != X1 ),
inference(rectify,[],[f213]) ).
fof(f213,plain,
! [X1,X0] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X13,X10] :
( vgensym(X10) = X13
=> ~ visFreeVar(X13,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f558,plain,
! [X0,X1,X4] :
( visFreeVar(X4,vapp(X0,X1))
| ~ visFreeVar(X4,X1) ),
inference(equality_resolution,[],[f557]) ).
fof(f557,plain,
! [X2,X0,X1,X4] :
( visFreeVar(X4,vapp(X0,X1))
| ~ visFreeVar(X2,X1)
| X2 != X4 ),
inference(equality_resolution,[],[f442]) ).
fof(f442,plain,
! [X2,X3,X0,X1,X4] :
( vapp(X0,X1) != X3
| visFreeVar(X4,X3)
| ~ visFreeVar(X2,X1)
| X2 != X4 ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0,X1,X2,X3,X4] :
( vapp(X0,X1) != X3
| ( ( visFreeVar(X4,X3)
| ( ~ visFreeVar(X2,X0)
& ~ visFreeVar(X2,X1) ) )
& ( visFreeVar(X2,X0)
| ~ visFreeVar(X4,X3)
| visFreeVar(X2,X1) ) )
| X2 != X4 ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X2,X4,X1,X3,X0] :
( vapp(X2,X4) != X3
| ( ( visFreeVar(X0,X3)
| ( ~ visFreeVar(X1,X2)
& ~ visFreeVar(X1,X4) ) )
& ( visFreeVar(X1,X2)
| ~ visFreeVar(X0,X3)
| visFreeVar(X1,X4) ) )
| X0 != X1 ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X1,X2,X3,X0,X4] :
( ( ( visFreeVar(X0,X3)
| ( ~ visFreeVar(X1,X2)
& ~ visFreeVar(X1,X4) ) )
& ( visFreeVar(X1,X4)
| visFreeVar(X1,X2)
| ~ visFreeVar(X0,X3) ) )
| X0 != X1
| vapp(X2,X4) != X3 ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X1,X2,X3,X0,X4] :
( ( X0 = X1
& vapp(X2,X4) = X3 )
=> ( ( ( visFreeVar(X1,X2)
| visFreeVar(X1,X4) )
=> visFreeVar(X0,X3) )
& ( visFreeVar(X0,X3)
=> ( visFreeVar(X1,X4)
| visFreeVar(X1,X2) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X13,X11,X3,X12] :
( ( vapp(X11,X12) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> ( visFreeVar(X13,X11)
| visFreeVar(X13,X12) ) )
& ( ( visFreeVar(X13,X11)
| visFreeVar(X13,X12) )
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM128+1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 29 17:42:00 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.49 % (523)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50 % (530)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (536)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.28/0.51 % (544)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.28/0.51 % (550)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.28/0.51 % (530)Instruction limit reached!
% 1.28/0.51 % (530)------------------------------
% 1.28/0.51 % (530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.51 % (530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.51 % (530)Termination reason: Unknown
% 1.28/0.52 % (527)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52 % (530)Termination phase: Equality resolution with deletion
% 1.28/0.52
% 1.28/0.52 % (530)Memory used [KB]: 1279
% 1.28/0.52 % (530)Time elapsed: 0.006 s
% 1.28/0.52 % (530)Instructions burned: 9 (million)
% 1.28/0.52 % (530)------------------------------
% 1.28/0.52 % (530)------------------------------
% 1.28/0.52 % (537)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 (2999ds/68Mi)
% 1.28/0.52 % (546)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)
% 1.28/0.52 % (536)First to succeed.
% 1.28/0.52 % (545)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.28/0.52 % (525)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)
% 1.28/0.52 % (531)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.28/0.52 % (528)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)
% 1.28/0.52 % (531)Instruction limit reached!
% 1.28/0.52 % (531)------------------------------
% 1.28/0.52 % (531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (531)Termination reason: Unknown
% 1.28/0.52 % (531)Termination phase: Preprocessing 1
% 1.28/0.52
% 1.28/0.52 % (531)Memory used [KB]: 1023
% 1.28/0.52 % (531)Time elapsed: 0.002 s
% 1.28/0.52 % (531)Instructions burned: 2 (million)
% 1.28/0.52 % (531)------------------------------
% 1.28/0.52 % (531)------------------------------
% 1.43/0.53 % (534)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.43/0.53 % (549)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 (2999ds/68Mi)
% 1.43/0.53 % (542)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.43/0.53 % (526)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.43/0.53 % (547)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.43/0.53 % (544)Also succeeded, but the first one will report.
% 1.43/0.53 % (540)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.43/0.53 % (536)Refutation found. Thanks to Tanya!
% 1.43/0.53 % SZS status Theorem for theBenchmark
% 1.43/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.53 % (536)------------------------------
% 1.43/0.53 % (536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (536)Termination reason: Refutation
% 1.43/0.53
% 1.43/0.53 % (536)Memory used [KB]: 6012
% 1.43/0.53 % (536)Time elapsed: 0.119 s
% 1.43/0.53 % (536)Instructions burned: 17 (million)
% 1.43/0.53 % (536)------------------------------
% 1.43/0.53 % (536)------------------------------
% 1.43/0.53 % (522)Success in time 0.19 s
%------------------------------------------------------------------------------