TSTP Solution File: NUM565+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM565+3 : 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 : n029.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 18:05:51 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 103 ( 38 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 113 ( 33 ~; 16 |; 51 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 27 ( 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f675,plain,
$false,
inference(trivial_inequality_removal,[],[f667]) ).
fof(f667,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0),
inference(backward_demodulation,[],[f410,f666]) ).
fof(f666,plain,
slcrc0 = sK22,
inference(subsumption_resolution,[],[f665,f414]) ).
fof(f414,plain,
aSet0(sK22),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ! [X1] :
( ~ aElementOf0(X1,sK22)
| aElementOf0(X1,xS) )
& aElementOf0(sK22,slbdtsldtrb0(xS,sz00))
& aSubsetOf0(sK22,xS)
& aSet0(sK22)
& sz00 = sbrdtbr0(sK22)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0)
& sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f104,f255]) ).
fof(f255,plain,
( ? [X0] :
( ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& aSubsetOf0(X0,xS)
& aSet0(X0)
& sz00 = sbrdtbr0(X0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0)
& sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0) )
=> ( ! [X1] :
( ~ aElementOf0(X1,sK22)
| aElementOf0(X1,xS) )
& aElementOf0(sK22,slbdtsldtrb0(xS,sz00))
& aSubsetOf0(sK22,xS)
& aSet0(sK22)
& sz00 = sbrdtbr0(sK22)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0)
& sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0] :
( ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& aSubsetOf0(X0,xS)
& aSet0(X0)
& sz00 = sbrdtbr0(X0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0)
& sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
? [X0] :
( sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0)
& aSet0(X0)
& sz00 = sbrdtbr0(X0)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
~ ! [X0] :
( ( aSet0(X0)
& sz00 = sbrdtbr0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) )
=> ( ( ~ ? [X2] : aElementOf0(X2,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,negated_conjecture,
~ ! [X0] :
( ( aSet0(X0)
& sz00 = sbrdtbr0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [X1] : aElementOf0(X1,slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
! [X0] :
( ( aSet0(X0)
& sz00 = sbrdtbr0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [X1] : aElementOf0(X1,slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f665,plain,
( ~ aSet0(sK22)
| slcrc0 = sK22 ),
inference(trivial_inequality_removal,[],[f664]) ).
fof(f664,plain,
( slcrc0 = sK22
| ~ aSet0(sK22)
| xK != xK ),
inference(superposition,[],[f556,f549]) ).
fof(f549,plain,
xK = sbrdtbr0(sK22),
inference(definition_unfolding,[],[f413,f374]) ).
fof(f374,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 = xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f413,plain,
sz00 = sbrdtbr0(sK22),
inference(cnf_transformation,[],[f256]) ).
fof(f556,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f531,f374]) ).
fof(f531,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ( ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) )
& ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ( slcrc0 = X0
<=> sz00 = sbrdtbr0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( slcrc0 = X0
<=> sz00 = sbrdtbr0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f410,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK22),
inference(cnf_transformation,[],[f256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM565+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 : n029.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 07:18:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % (22519)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 % (22527)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)
% 0.19/0.51 % (22507)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)
% 0.19/0.52 % (22510)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)
% 0.19/0.52 % (22511)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (22512)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (22512)Instruction limit reached!
% 0.19/0.52 % (22512)------------------------------
% 0.19/0.52 % (22512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (22512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (22512)Termination reason: Unknown
% 0.19/0.52 % (22512)Termination phase: Unused predicate definition removal
% 0.19/0.52
% 0.19/0.52 % (22512)Memory used [KB]: 1023
% 0.19/0.52 % (22512)Time elapsed: 0.003 s
% 0.19/0.52 % (22512)Instructions burned: 2 (million)
% 0.19/0.52 % (22512)------------------------------
% 0.19/0.52 % (22512)------------------------------
% 0.19/0.52 % (22505)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)
% 0.19/0.53 % (22526)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)
% 0.19/0.53 % (22508)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (22504)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)
% 0.19/0.53 % (22511)Instruction limit reached!
% 0.19/0.53 % (22511)------------------------------
% 0.19/0.53 % (22511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (22511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (22511)Termination reason: Unknown
% 0.19/0.53 % (22511)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (22511)Memory used [KB]: 1279
% 0.19/0.53 % (22511)Time elapsed: 0.011 s
% 0.19/0.53 % (22511)Instructions burned: 7 (million)
% 0.19/0.53 % (22511)------------------------------
% 0.19/0.53 % (22511)------------------------------
% 0.19/0.53 % (22529)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (22513)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)
% 0.19/0.54 % (22521)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (22509)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)
% 0.19/0.54 % (22527)First to succeed.
% 0.19/0.55 % (22518)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)
% 0.19/0.55 % (22523)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)
% 0.19/0.55 % (22514)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (22519)Also succeeded, but the first one will report.
% 0.19/0.55 % (22527)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (22527)------------------------------
% 0.19/0.55 % (22527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (22527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (22527)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (22527)Memory used [KB]: 5884
% 0.19/0.55 % (22527)Time elapsed: 0.096 s
% 0.19/0.55 % (22527)Instructions burned: 21 (million)
% 0.19/0.55 % (22527)------------------------------
% 0.19/0.55 % (22527)------------------------------
% 0.19/0.55 % (22503)Success in time 0.207 s
%------------------------------------------------------------------------------