TSTP Solution File: NUM592+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM592+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 : n020.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 18:05:59 EDT 2022
% Result : Theorem 1.53s 0.55s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 103 ( 23 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 119 ( 48 ~; 38 |; 29 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 36 ( 29 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f626,plain,
$false,
inference(subsumption_resolution,[],[f625,f616]) ).
fof(f616,plain,
xu != sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK19(xu,xX)),
inference(resolution,[],[f615,f345]) ).
fof(f345,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( aElementOf0(xu,xT)
& ! [X0] :
( ~ aSet0(X0)
| xu = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X0,slbdtsldtrb0(xX,xk)) )
& isCountable0(xX)
& aSubsetOf0(xX,xY) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
( ! [X0] :
( xu = sdtlpdtrp0(xd,X0)
| ~ aSet0(X0)
| ~ aElementOf0(X0,slbdtsldtrb0(xX,xk)) )
& aSubsetOf0(xX,xY)
& aElementOf0(xu,xT)
& isCountable0(xX) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
( ! [X0] :
( ( aSet0(X0)
& aElementOf0(X0,slbdtsldtrb0(xX,xk)) )
=> xu = sdtlpdtrp0(xd,X0) )
& aSubsetOf0(xX,xY)
& aElementOf0(xu,xT)
& isCountable0(xX) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4545) ).
fof(f615,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK19(X0,xX)) != X0 ),
inference(subsumption_resolution,[],[f609,f574]) ).
fof(f574,plain,
aSubsetOf0(xX,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(backward_demodulation,[],[f342,f481]) ).
fof(f481,plain,
xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448_02) ).
fof(f342,plain,
aSubsetOf0(xX,xY),
inference(cnf_transformation,[],[f143]) ).
fof(f609,plain,
! [X0] :
( ~ aSubsetOf0(xX,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK19(X0,xX)) != X0
| ~ aElementOf0(X0,xT) ),
inference(resolution,[],[f460,f343]) ).
fof(f343,plain,
isCountable0(xX),
inference(cnf_transformation,[],[f143]) ).
fof(f460,plain,
! [X0,X1] :
( ~ isCountable0(X1)
| ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK19(X0,X1)) != X0 ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| ! [X1] :
( ( aSet0(sK19(X0,X1))
& aElementOf0(sK19(X0,X1),slbdtsldtrb0(X1,xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK19(X0,X1)) != X0 )
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f166,f306]) ).
fof(f306,plain,
! [X0,X1] :
( ? [X2] :
( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) != X0 )
=> ( aSet0(sK19(X0,X1))
& aElementOf0(sK19(X0,X1),slbdtsldtrb0(X1,xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK19(X0,X1)) != X0 ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| ! [X1] :
( ? [X2] :
( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) != X0 )
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X1) ) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) != X0
& aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ aElementOf0(X0,xT) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) = X0 )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aElementOf0(X0,xT) ),
inference(negated_conjecture,[],[f94]) ).
fof(f94,conjecture,
? [X0] :
( ? [X1] :
( ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) = X0 )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aElementOf0(X0,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f625,plain,
xu = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK19(xu,xX)),
inference(resolution,[],[f622,f345]) ).
fof(f622,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| xu = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK19(X0,xX)) ),
inference(subsumption_resolution,[],[f601,f608]) ).
fof(f608,plain,
! [X0] :
( aElementOf0(sK19(X0,xX),slbdtsldtrb0(xX,xk))
| ~ aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f602,f574]) ).
fof(f602,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| aElementOf0(sK19(X0,xX),slbdtsldtrb0(xX,xk))
| ~ aSubsetOf0(xX,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(resolution,[],[f461,f343]) ).
fof(f461,plain,
! [X0,X1] :
( ~ isCountable0(X1)
| aElementOf0(sK19(X0,X1),slbdtsldtrb0(X1,xk))
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f307]) ).
fof(f601,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| ~ aElementOf0(sK19(X0,xX),slbdtsldtrb0(xX,xk))
| xu = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK19(X0,xX)) ),
inference(resolution,[],[f600,f576]) ).
fof(f576,plain,
! [X0] :
( ~ aSet0(X0)
| xu = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
| ~ aElementOf0(X0,slbdtsldtrb0(xX,xk)) ),
inference(forward_demodulation,[],[f344,f482]) ).
fof(f482,plain,
xd = sdtlpdtrp0(xC,xi),
inference(cnf_transformation,[],[f91]) ).
fof(f344,plain,
! [X0] :
( xu = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X0,slbdtsldtrb0(xX,xk))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f600,plain,
! [X0] :
( aSet0(sK19(X0,xX))
| ~ aElementOf0(X0,xT) ),
inference(subsumption_resolution,[],[f594,f574]) ).
fof(f594,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xX,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aSet0(sK19(X0,xX)) ),
inference(resolution,[],[f462,f343]) ).
fof(f462,plain,
! [X0,X1] :
( ~ isCountable0(X1)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aSet0(sK19(X0,X1))
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM592+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.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 07:16:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.52 % (8396)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)
% 0.21/0.52 % (8413)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)
% 0.21/0.52 % (8405)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)
% 0.21/0.53 % (8407)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)
% 0.21/0.53 % (8397)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)
% 0.21/0.53 % (8399)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (8419)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (8395)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (8403)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 % (8411)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)
% 0.21/0.54 % (8392)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)
% 0.21/0.54 % (8394)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)
% 0.21/0.54 % (8420)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)
% 0.21/0.54 % (8409)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (8415)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (8399)Instruction limit reached!
% 0.21/0.54 % (8399)------------------------------
% 0.21/0.54 % (8399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (8399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (8399)Termination reason: Unknown
% 0.21/0.54 % (8399)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (8399)Memory used [KB]: 1023
% 0.21/0.54 % (8399)Time elapsed: 0.004 s
% 0.21/0.54 % (8399)Instructions burned: 3 (million)
% 0.21/0.54 % (8399)------------------------------
% 0.21/0.54 % (8399)------------------------------
% 0.21/0.54 % (8393)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)
% 0.21/0.54 % (8408)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (8412)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (8410)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)
% 1.53/0.55 % (8413)First to succeed.
% 1.53/0.55 % (8391)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)
% 1.53/0.55 % (8404)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.55 % (8416)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.53/0.55 % (8413)Refutation found. Thanks to Tanya!
% 1.53/0.55 % SZS status Theorem for theBenchmark
% 1.53/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.55 % (8413)------------------------------
% 1.53/0.55 % (8413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (8413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (8413)Termination reason: Refutation
% 1.53/0.55
% 1.53/0.55 % (8413)Memory used [KB]: 1407
% 1.53/0.55 % (8413)Time elapsed: 0.093 s
% 1.53/0.55 % (8413)Instructions burned: 14 (million)
% 1.53/0.55 % (8413)------------------------------
% 1.53/0.55 % (8413)------------------------------
% 1.53/0.55 % (8390)Success in time 0.196 s
%------------------------------------------------------------------------------