TSTP Solution File: NUM578+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM578+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 : n025.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 18:05:54 EDT 2022
% Result : Theorem 1.52s 0.57s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 87 ( 41 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 94 ( 42 ~; 32 |; 11 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f812,plain,
$false,
inference(subsumption_resolution,[],[f811,f521]) ).
fof(f521,plain,
sF26 = szmzizndt0(sF25),
introduced(function_definition,[]) ).
fof(f811,plain,
sF26 != szmzizndt0(sF25),
inference(forward_demodulation,[],[f810,f520]) ).
fof(f520,plain,
sdtlpdtrp0(xN,xi) = sF25,
introduced(function_definition,[]) ).
fof(f810,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) != sF26,
inference(forward_demodulation,[],[f809,f533]) ).
fof(f533,plain,
sF26 = szmzizndt0(sF27),
inference(forward_demodulation,[],[f523,f524]) ).
fof(f524,plain,
sF28 = sF26,
inference(definition_folding,[],[f364,f523,f522,f521,f520]) ).
fof(f522,plain,
sdtlpdtrp0(xN,xj) = sF27,
introduced(function_definition,[]) ).
fof(f364,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj))
& xi != xj ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
( szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj))
& xi != xj
& ! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,negated_conjecture,
~ ( ! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
inference(negated_conjecture,[],[f86]) ).
fof(f86,conjecture,
( ! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f523,plain,
sF28 = szmzizndt0(sF27),
introduced(function_definition,[]) ).
fof(f809,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sF27),
inference(forward_demodulation,[],[f808,f522]) ).
fof(f808,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(subsumption_resolution,[],[f807,f417]) ).
fof(f417,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).
fof(f807,plain,
( szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj))
| ~ aElementOf0(xj,szNzAzT0) ),
inference(subsumption_resolution,[],[f806,f418]) ).
fof(f418,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f806,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ),
inference(resolution,[],[f803,f366]) ).
fof(f366,plain,
! [X0,X1] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f803,plain,
sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(subsumption_resolution,[],[f802,f521]) ).
fof(f802,plain,
( sF26 != szmzizndt0(sF25)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(forward_demodulation,[],[f801,f520]) ).
fof(f801,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| szmzizndt0(sdtlpdtrp0(xN,xi)) != sF26 ),
inference(forward_demodulation,[],[f800,f533]) ).
fof(f800,plain,
( szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sF27)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(forward_demodulation,[],[f799,f522]) ).
fof(f799,plain,
( szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj))
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(subsumption_resolution,[],[f798,f363]) ).
fof(f363,plain,
xi != xj,
inference(cnf_transformation,[],[f197]) ).
fof(f798,plain,
( szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj))
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| xi = xj ),
inference(subsumption_resolution,[],[f797,f418]) ).
fof(f797,plain,
( szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj))
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| ~ aElementOf0(xi,szNzAzT0)
| xi = xj ),
inference(subsumption_resolution,[],[f789,f417]) ).
fof(f789,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| xi = xj
| szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ),
inference(resolution,[],[f424,f366]) ).
fof(f424,plain,
( sdtlseqdt0(szszuzczcdt0(xj),xi)
| xi = xj
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
( xi = xj
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| xi = xj ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM578+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n025.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 : Tue Aug 30 07:18:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (18350)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)
% 0.20/0.52 % (18352)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (18352)Instruction limit reached!
% 0.20/0.52 % (18352)------------------------------
% 0.20/0.52 % (18352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18368)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (18359)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)
% 0.20/0.53 % (18351)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.39/0.53 % (18360)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)
% 1.39/0.53 % (18346)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)
% 1.39/0.54 % (18352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (18352)Termination reason: Unknown
% 1.39/0.54 % (18352)Termination phase: Naming
% 1.39/0.54
% 1.39/0.54 % (18352)Memory used [KB]: 1023
% 1.39/0.54 % (18352)Time elapsed: 0.002 s
% 1.39/0.54 % (18352)Instructions burned: 3 (million)
% 1.39/0.54 % (18352)------------------------------
% 1.39/0.54 % (18352)------------------------------
% 1.39/0.54 % (18344)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)
% 1.39/0.54 % (18367)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)
% 1.39/0.54 % (18351)Instruction limit reached!
% 1.39/0.54 % (18351)------------------------------
% 1.39/0.54 % (18351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (18351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (18351)Termination reason: Unknown
% 1.39/0.54 % (18351)Termination phase: Property scanning
% 1.39/0.54
% 1.39/0.54 % (18351)Memory used [KB]: 1151
% 1.39/0.54 % (18351)Time elapsed: 0.006 s
% 1.39/0.54 % (18351)Instructions burned: 7 (million)
% 1.39/0.54 % (18351)------------------------------
% 1.39/0.54 % (18351)------------------------------
% 1.52/0.54 % (18369)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.52/0.55 % (18361)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.52/0.55 % (18348)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.55 % (18349)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)
% 1.52/0.55 % (18347)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)
% 1.52/0.55 % (18362)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.55 % (18364)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)
% 1.52/0.56 % (18345)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)
% 1.52/0.56 % (18365)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.52/0.56 % (18353)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.56 % (18363)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)
% 1.52/0.56 % (18356)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.52/0.56 % (18358)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)
% 1.52/0.56 % (18354)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.52/0.56 % (18372)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.52/0.56 % (18359)First to succeed.
% 1.52/0.56 % (18373)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)
% 1.52/0.57 % (18371)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)
% 1.52/0.57 % (18370)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)
% 1.52/0.57 % (18355)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)
% 1.52/0.57 % (18357)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.52/0.57 % (18359)Refutation found. Thanks to Tanya!
% 1.52/0.57 % SZS status Theorem for theBenchmark
% 1.52/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.57 % (18359)------------------------------
% 1.52/0.57 % (18359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57 % (18359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57 % (18359)Termination reason: Refutation
% 1.52/0.57
% 1.52/0.57 % (18359)Memory used [KB]: 1535
% 1.52/0.57 % (18359)Time elapsed: 0.142 s
% 1.52/0.57 % (18359)Instructions burned: 27 (million)
% 1.52/0.57 % (18359)------------------------------
% 1.52/0.57 % (18359)------------------------------
% 1.52/0.57 % (18343)Success in time 0.225 s
%------------------------------------------------------------------------------