TSTP Solution File: NUM540+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n026.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 18:00:27 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 182 ( 36 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 232 ( 90 ~; 90 |; 42 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 53 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f358,plain,
$false,
inference(subsumption_resolution,[],[f357,f159]) ).
fof(f159,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/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f357,plain,
slcrc0 = slbdtrb0(sz00),
inference(subsumption_resolution,[],[f356,f164]) ).
fof(f164,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f356,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| slcrc0 = slbdtrb0(sz00) ),
inference(resolution,[],[f344,f253]) ).
fof(f253,plain,
! [X0] :
( aElementOf0(sK4(slbdtrb0(X0)),szNzAzT0)
| slcrc0 = slbdtrb0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f252,f176]) ).
fof(f176,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(X1)
| slbdtrb0(X0) != X1 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) = X1
| ( ( ~ aElementOf0(sK2(X0,X1),X1)
| ~ aElementOf0(sK2(X0,X1),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK2(X0,X1)),X0) )
& ( aElementOf0(sK2(X0,X1),X1)
| ( aElementOf0(sK2(X0,X1),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(sK2(X0,X1)),X0) ) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ aElementOf0(X3,X1) )
& ( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f114,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( aElementOf0(X2,X1)
| ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) )
=> ( ( ~ aElementOf0(sK2(X0,X1),X1)
| ~ aElementOf0(sK2(X0,X1),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK2(X0,X1)),X0) )
& ( aElementOf0(sK2(X0,X1),X1)
| ( aElementOf0(sK2(X0,X1),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(sK2(X0,X1)),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [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) )
& ( ( ! [X3] :
( ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ aElementOf0(X3,X1) )
& ( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) ) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [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) )
& ( ( ! [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 ) ) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [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) )
& ( ( ! [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 ) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
<=> aElementOf0(X2,X1) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
<=> aElementOf0(X2,X1) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(f252,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slcrc0 = slbdtrb0(X0)
| aElementOf0(sK4(slbdtrb0(X0)),szNzAzT0)
| ~ aSet0(slbdtrb0(X0)) ),
inference(resolution,[],[f173,f167]) ).
fof(f167,plain,
! [X0] :
( aElementOf0(sK4(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f123,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) )
<=> slcrc0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f173,plain,
! [X3,X0] :
( ~ aElementOf0(X3,slbdtrb0(X0))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1 ),
inference(cnf_transformation,[],[f116]) ).
fof(f344,plain,
~ aElementOf0(sK4(slbdtrb0(sz00)),szNzAzT0),
inference(subsumption_resolution,[],[f343,f159]) ).
fof(f343,plain,
( slcrc0 = slbdtrb0(sz00)
| ~ aElementOf0(sK4(slbdtrb0(sz00)),szNzAzT0) ),
inference(subsumption_resolution,[],[f341,f164]) ).
fof(f341,plain,
( ~ aElementOf0(sK4(slbdtrb0(sz00)),szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| slcrc0 = slbdtrb0(sz00) ),
inference(resolution,[],[f271,f132]) ).
fof(f132,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f271,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(sK4(slbdtrb0(X0))),X0)
| slcrc0 = slbdtrb0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f270,f176]) ).
fof(f270,plain,
! [X0] :
( slcrc0 = slbdtrb0(X0)
| sdtlseqdt0(szszuzczcdt0(sK4(slbdtrb0(X0))),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(slbdtrb0(X0)) ),
inference(resolution,[],[f174,f167]) ).
fof(f174,plain,
! [X3,X0] :
( ~ aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X3),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1 ),
inference(cnf_transformation,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM540+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 07:10:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (30435)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)
% 0.20/0.51 % (30426)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (30435)Instruction limit reached!
% 0.20/0.51 % (30435)------------------------------
% 0.20/0.51 % (30435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (30435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (30435)Termination reason: Unknown
% 0.20/0.51 % (30435)Termination phase: Preprocessing 3
% 0.20/0.51
% 0.20/0.51 % (30435)Memory used [KB]: 1535
% 0.20/0.51 % (30435)Time elapsed: 0.003 s
% 0.20/0.51 % (30435)Instructions burned: 3 (million)
% 0.20/0.51 % (30435)------------------------------
% 0.20/0.51 % (30435)------------------------------
% 0.20/0.51 % (30436)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)
% 0.20/0.51 % (30443)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.51 % (30427)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)
% 0.20/0.52 % (30445)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)
% 0.20/0.52 % (30426)First to succeed.
% 0.20/0.52 % (30434)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)
% 0.20/0.52 % (30445)Refutation not found, incomplete strategy% (30445)------------------------------
% 0.20/0.52 % (30445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30436)Instruction limit reached!
% 0.20/0.52 % (30436)------------------------------
% 0.20/0.52 % (30436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30426)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 % (30426)------------------------------
% 0.20/0.53 % (30426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30426)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (30426)Memory used [KB]: 6140
% 0.20/0.53 % (30426)Time elapsed: 0.109 s
% 0.20/0.53 % (30426)Instructions burned: 9 (million)
% 0.20/0.53 % (30426)------------------------------
% 0.20/0.53 % (30426)------------------------------
% 0.20/0.53 % (30416)Success in time 0.166 s
%------------------------------------------------------------------------------