TSTP Solution File: NUM576+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM576+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 : n009.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 18:00:44 EDT 2022
% Result : Theorem 1.32s 0.52s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 90 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 107 ( 50 ~; 41 |; 9 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f706,plain,
$false,
inference(subsumption_resolution,[],[f705,f577]) ).
fof(f577,plain,
sdtlseqdt0(xi,xj),
inference(subsumption_resolution,[],[f576,f221]) ).
fof(f221,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).
fof(f576,plain,
( ~ aElementOf0(xi,szNzAzT0)
| sdtlseqdt0(xi,xj) ),
inference(subsumption_resolution,[],[f570,f222]) ).
fof(f222,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f570,plain,
( ~ aElementOf0(xj,szNzAzT0)
| sdtlseqdt0(xi,xj)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[],[f362,f329]) ).
fof(f329,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& xi != xj ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& xi != xj ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
inference(negated_conjecture,[],[f85]) ).
fof(f85,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f362,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),X1)
| sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
| sdtlseqdt0(X1,X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X1,X0] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f705,plain,
~ sdtlseqdt0(xi,xj),
inference(subsumption_resolution,[],[f704,f222]) ).
fof(f704,plain,
( ~ aElementOf0(xj,szNzAzT0)
| ~ sdtlseqdt0(xi,xj) ),
inference(subsumption_resolution,[],[f703,f221]) ).
fof(f703,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| ~ sdtlseqdt0(xi,xj) ),
inference(subsumption_resolution,[],[f668,f452]) ).
fof(f452,plain,
~ sQ21_eqProxy(xi,xj),
inference(equality_proxy_replacement,[],[f328,f384]) ).
fof(f384,plain,
! [X0,X1] :
( sQ21_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ21_eqProxy])]) ).
fof(f328,plain,
xi != xj,
inference(cnf_transformation,[],[f168]) ).
fof(f668,plain,
( sQ21_eqProxy(xi,xj)
| ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[],[f445,f575]) ).
fof(f575,plain,
sdtlseqdt0(xj,xi),
inference(subsumption_resolution,[],[f574,f221]) ).
fof(f574,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(subsumption_resolution,[],[f571,f222]) ).
fof(f571,plain,
( ~ aElementOf0(xj,szNzAzT0)
| sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[],[f362,f330]) ).
fof(f330,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[],[f168]) ).
fof(f445,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| sQ21_eqProxy(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f301,f384]) ).
fof(f301,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X1,X0] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM576+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % 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 : n009.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 : Tue Aug 30 07:04:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.48 % (27126)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)
% 0.20/0.48 % (27103)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)
% 0.20/0.48 % (27111)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)
% 0.20/0.48 % (27117)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)
% 0.20/0.48 % (27112)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)
% 0.20/0.49 % (27104)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)
% 0.20/0.49 % (27130)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.49 % (27117)Instruction limit reached!
% 0.20/0.49 % (27117)------------------------------
% 0.20/0.49 % (27117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (27117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (27117)Termination reason: Unknown
% 0.20/0.49 % (27117)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (27117)Memory used [KB]: 1663
% 0.20/0.49 % (27117)Time elapsed: 0.007 s
% 0.20/0.49 % (27117)Instructions burned: 8 (million)
% 0.20/0.49 % (27117)------------------------------
% 0.20/0.49 % (27117)------------------------------
% 0.20/0.49 % (27123)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)
% 0.20/0.49 % (27109)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)
% 0.20/0.50 % (27113)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (27110)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)
% 0.20/0.50 % (27104)Instruction limit reached!
% 0.20/0.50 % (27104)------------------------------
% 0.20/0.50 % (27104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (27104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (27104)Termination reason: Unknown
% 0.20/0.50 % (27104)Termination phase: Preprocessing 3
% 0.20/0.50
% 0.20/0.50 % (27104)Memory used [KB]: 1535
% 0.20/0.50 % (27104)Time elapsed: 0.004 s
% 0.20/0.50 % (27104)Instructions burned: 4 (million)
% 0.20/0.50 % (27104)------------------------------
% 0.20/0.50 % (27104)------------------------------
% 0.20/0.50 % (27115)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)
% 0.20/0.50 % (27112)Instruction limit reached!
% 0.20/0.50 % (27112)------------------------------
% 0.20/0.50 % (27112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (27112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (27112)Termination reason: Unknown
% 0.20/0.50 % (27112)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (27112)Memory used [KB]: 6268
% 0.20/0.50 % (27112)Time elapsed: 0.008 s
% 0.20/0.50 % (27112)Instructions burned: 12 (million)
% 0.20/0.50 % (27112)------------------------------
% 0.20/0.50 % (27112)------------------------------
% 0.20/0.50 % (27113)Instruction limit reached!
% 0.20/0.50 % (27113)------------------------------
% 0.20/0.50 % (27113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (27113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (27113)Termination reason: Unknown
% 0.20/0.50 % (27113)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (27113)Memory used [KB]: 1663
% 0.20/0.50 % (27113)Time elapsed: 0.004 s
% 0.20/0.50 % (27113)Instructions burned: 8 (million)
% 0.20/0.50 % (27113)------------------------------
% 0.20/0.50 % (27113)------------------------------
% 0.20/0.50 % (27102)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (27116)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 % (27106)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)
% 1.32/0.51 % (27116)Instruction limit reached!
% 1.32/0.51 % (27116)------------------------------
% 1.32/0.51 % (27116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.51 % (27116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.51 % (27116)Termination reason: Unknown
% 1.32/0.51 % (27116)Termination phase: Preprocessing 3
% 1.32/0.51
% 1.32/0.51 % (27116)Memory used [KB]: 1535
% 1.32/0.51 % (27116)Time elapsed: 0.003 s
% 1.32/0.51 % (27116)Instructions burned: 3 (million)
% 1.32/0.51 % (27116)------------------------------
% 1.32/0.51 % (27116)------------------------------
% 1.32/0.51 % (27105)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.51 % (27107)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)
% 1.32/0.51 % (27114)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.32/0.52 % (27123)First to succeed.
% 1.32/0.52 % (27125)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)
% 1.32/0.52 % (27123)Refutation found. Thanks to Tanya!
% 1.32/0.52 % SZS status Theorem for theBenchmark
% 1.32/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.52 % (27123)------------------------------
% 1.32/0.52 % (27123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52 % (27123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52 % (27123)Termination reason: Refutation
% 1.32/0.52
% 1.32/0.52 % (27123)Memory used [KB]: 6268
% 1.32/0.52 % (27123)Time elapsed: 0.124 s
% 1.32/0.52 % (27123)Instructions burned: 16 (million)
% 1.32/0.52 % (27123)------------------------------
% 1.32/0.52 % (27123)------------------------------
% 1.32/0.52 % (27099)Success in time 0.177 s
%------------------------------------------------------------------------------