TSTP Solution File: NUM540+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM540+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_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 18:05:42 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 13 unt; 0 def)
% Number of atoms : 179 ( 31 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 227 ( 91 ~; 84 |; 42 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 55 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f642,plain,
$false,
inference(subsumption_resolution,[],[f641,f330]) ).
fof(f330,plain,
aSet0(sF13),
inference(forward_demodulation,[],[f329,f299]) ).
fof(f299,plain,
slbdtrb0(sz00) = sF13,
introduced(function_definition,[]) ).
fof(f329,plain,
aSet0(slbdtrb0(sz00)),
inference(resolution,[],[f289,f263]) ).
fof(f263,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f289,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(equality_resolution,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 )
& ( slbdtrb0(X0) = X1
| ( ( ~ aElementOf0(sK6(X0,X1),X1)
| ~ aElementOf0(sK6(X0,X1),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK6(X0,X1)),X0) )
& ( aElementOf0(sK6(X0,X1),X1)
| ( aElementOf0(sK6(X0,X1),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(sK6(X0,X1)),X0) ) ) )
| ~ aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f157,f158]) ).
fof(f158,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) )
& ( aElementOf0(X3,X1)
| ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) ) ) )
=> ( ( ~ aElementOf0(sK6(X0,X1),X1)
| ~ aElementOf0(sK6(X0,X1),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK6(X0,X1)),X0) )
& ( aElementOf0(sK6(X0,X1),X1)
| ( aElementOf0(sK6(X0,X1),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(sK6(X0,X1)),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 )
& ( slbdtrb0(X0) = X1
| ? [X3] :
( ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) )
& ( aElementOf0(X3,X1)
| ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) ) ) )
| ~ aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 )
& ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( aElementOf0(X2,X1)
| ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) )
| ~ aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 )
& ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( aElementOf0(X2,X1)
| ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) )
| ~ aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
<=> aElementOf0(X2,X1) )
& aSet0(X1) )
<=> slbdtrb0(X0) = X1 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ! [X2] :
( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
<=> aElementOf0(X2,X1) )
& aSet0(X1) )
<=> slbdtrb0(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f641,plain,
~ aSet0(sF13),
inference(subsumption_resolution,[],[f638,f300]) ).
fof(f300,plain,
slcrc0 != sF13,
inference(definition_folding,[],[f200,f299]) ).
fof(f200,plain,
slcrc0 != slbdtrb0(sz00),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
slcrc0 != slbdtrb0(sz00),
inference(flattening,[],[f53]) ).
fof(f53,negated_conjecture,
slcrc0 != slbdtrb0(sz00),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f638,plain,
( slcrc0 = sF13
| ~ aSet0(sF13) ),
inference(resolution,[],[f636,f238]) ).
fof(f238,plain,
! [X0] :
( aElementOf0(sK9(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| aElementOf0(sK9(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f169,f170]) ).
fof(f170,plain,
! [X0] :
( ? [X2] : aElementOf0(X2,X0)
=> aElementOf0(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X2] : aElementOf0(X2,X0) ) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
<=> slcrc0 = X0 ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f636,plain,
! [X0] : ~ aElementOf0(X0,sF13),
inference(subsumption_resolution,[],[f635,f469]) ).
fof(f469,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f467,f263]) ).
fof(f467,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f286,f299]) ).
fof(f286,plain,
! [X2,X0] :
( ~ aElementOf0(X2,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X2,szNzAzT0) ),
inference(equality_resolution,[],[f227]) ).
fof(f227,plain,
! [X2,X0,X1] :
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f635,plain,
! [X0] :
( ~ aElementOf0(X0,sF13)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f634,f261]) ).
fof(f261,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f634,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,sF13) ),
inference(subsumption_resolution,[],[f632,f263]) ).
fof(f632,plain,
! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,sF13)
| sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
inference(superposition,[],[f287,f299]) ).
fof(f287,plain,
! [X2,X0] :
( ~ aElementOf0(X2,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),X0) ),
inference(equality_resolution,[],[f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM540+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 07:11:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (8694)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49 % (8699)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (8700)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)
% 0.19/0.50 % (8709)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)
% 0.19/0.50 % (8702)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 (2999ds/99Mi)
% 0.19/0.50 % (8694)Instruction limit reached!
% 0.19/0.50 % (8694)------------------------------
% 0.19/0.50 % (8694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8694)Termination reason: Unknown
% 0.19/0.50 % (8694)Termination phase: Property scanning
% 0.19/0.50
% 0.19/0.50 % (8694)Memory used [KB]: 1023
% 0.19/0.50 % (8694)Time elapsed: 0.004 s
% 0.19/0.50 % (8694)Instructions burned: 3 (million)
% 0.19/0.50 % (8694)------------------------------
% 0.19/0.50 % (8694)------------------------------
% 0.19/0.50 % (8692)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (8693)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 % (8690)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (8715)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.51 % (8693)Instruction limit reached!
% 0.19/0.51 % (8693)------------------------------
% 0.19/0.51 % (8693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8693)Termination reason: Unknown
% 0.19/0.51 % (8693)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (8693)Memory used [KB]: 5628
% 0.19/0.51 % (8693)Time elapsed: 0.112 s
% 0.19/0.51 % (8693)Instructions burned: 8 (million)
% 0.19/0.51 % (8693)------------------------------
% 0.19/0.51 % (8693)------------------------------
% 0.19/0.51 % (8691)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)
% 0.19/0.51 % (8703)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (8701)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (8688)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 % (8708)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)
% 0.19/0.51 % (8710)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (8711)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (8698)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (8707)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (8706)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (8713)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)
% 0.19/0.52 % (8687)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (8704)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (8699)First to succeed.
% 0.19/0.52 % (8699)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (8699)------------------------------
% 0.19/0.52 % (8699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8699)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (8699)Memory used [KB]: 5756
% 0.19/0.52 % (8699)Time elapsed: 0.117 s
% 0.19/0.52 % (8699)Instructions burned: 14 (million)
% 0.19/0.52 % (8699)------------------------------
% 0.19/0.52 % (8699)------------------------------
% 0.19/0.52 % (8685)Success in time 0.177 s
%------------------------------------------------------------------------------