TSTP Solution File: NUM605+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM605+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 : n012.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 18:06:05 EDT 2022
% Result : Theorem 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 80 ( 34 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 86 ( 34 ~; 22 |; 23 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f971,plain,
$false,
inference(subsumption_resolution,[],[f970,f910]) ).
fof(f910,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f671]) ).
fof(f671,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f392]) ).
fof(f392,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| aElementOf0(sK47(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f390,f391]) ).
fof(f391,plain,
! [X0] :
( ? [X2] : aElementOf0(X2,X0)
=> aElementOf0(sK47(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f390,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X2] : aElementOf0(X2,X0) ) ),
inference(rectify,[],[f389]) ).
fof(f389,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(flattening,[],[f388]) ).
fof(f388,plain,
! [X0] :
( ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) ) ),
inference(nnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
<=> slcrc0 = X0 ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) )
<=> slcrc0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f970,plain,
~ aSet0(slcrc0),
inference(subsumption_resolution,[],[f969,f888]) ).
fof(f888,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f969,plain,
( sz00 = xK
| ~ aSet0(slcrc0) ),
inference(backward_demodulation,[],[f944,f968]) ).
fof(f968,plain,
xK = sbrdtbr0(slcrc0),
inference(forward_demodulation,[],[f676,f560]) ).
fof(f560,plain,
slcrc0 = xQ,
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ! [X0] : ~ aElementOf0(X0,xQ)
& slcrc0 = xQ ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
( ~ ? [X0] : aElementOf0(X0,xQ)
& slcrc0 = xQ ),
inference(flattening,[],[f101]) ).
fof(f101,negated_conjecture,
~ ~ ( ~ ? [X0] : aElementOf0(X0,xQ)
& slcrc0 = xQ ),
inference(negated_conjecture,[],[f100]) ).
fof(f100,conjecture,
~ ( ~ ? [X0] : aElementOf0(X0,xQ)
& slcrc0 = xQ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f676,plain,
xK = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( xK = sbrdtbr0(xQ)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& aSubsetOf0(xQ,xO)
& aSet0(xQ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,axiom,
( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSet0(xQ)
& aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& aSubsetOf0(xQ,xO)
& xK = sbrdtbr0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(f944,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f828]) ).
fof(f828,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f468]) ).
fof(f468,plain,
! [X0] :
( ( ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) )
& ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM605+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % 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 : n012.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 07:18:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % (25712)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)
% 0.18/0.50 % (25707)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)
% 0.18/0.50 % (25711)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (25715)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (25722)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)
% 0.18/0.51 % (25710)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)
% 0.18/0.51 % (25708)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)
% 0.18/0.51 % (25719)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (25715)Instruction limit reached!
% 0.18/0.51 % (25715)------------------------------
% 0.18/0.51 % (25715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (25715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (25715)Termination reason: Unknown
% 0.18/0.51 % (25715)Termination phase: Preprocessing 1
% 0.18/0.52 % (25729)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)
% 0.18/0.52
% 0.18/0.52 % (25715)Memory used [KB]: 1023
% 0.18/0.52 % (25715)Time elapsed: 0.004 s
% 0.18/0.52 % (25715)Instructions burned: 2 (million)
% 0.18/0.52 % (25715)------------------------------
% 0.18/0.52 % (25715)------------------------------
% 0.18/0.52 % (25720)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (25721)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)
% 0.18/0.52 % (25732)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52 % (25735)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (25718)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)
% 0.18/0.52 % (25731)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52 % (25709)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)
% 0.18/0.52 % (25736)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)
% 0.18/0.52 % (25724)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52 % (25730)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)
% 0.18/0.52 % (25733)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)
% 0.18/0.52 % (25727)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)
% 0.18/0.52 % (25713)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)
% 0.18/0.52 % (25728)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53 % (25723)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)
% 0.18/0.53 % (25734)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)
% 0.18/0.53 % (25725)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (25726)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)
% 0.18/0.53 % (25717)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (25714)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54 % (25714)Instruction limit reached!
% 0.18/0.54 % (25714)------------------------------
% 0.18/0.54 % (25714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (25714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (25714)Termination reason: Unknown
% 0.18/0.54 % (25714)Termination phase: Preprocessing 3
% 0.18/0.54
% 0.18/0.54 % (25714)Memory used [KB]: 1407
% 0.18/0.54 % (25714)Time elapsed: 0.006 s
% 0.18/0.54 % (25714)Instructions burned: 7 (million)
% 0.18/0.54 % (25714)------------------------------
% 0.18/0.54 % (25714)------------------------------
% 0.18/0.54 % (25716)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)
% 0.18/0.55 % (25722)First to succeed.
% 0.18/0.55 % (25712)Also succeeded, but the first one will report.
% 0.18/0.55 % (25722)Refutation found. Thanks to Tanya!
% 0.18/0.55 % SZS status Theorem for theBenchmark
% 0.18/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55 % (25722)------------------------------
% 0.18/0.55 % (25722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (25722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (25722)Termination reason: Refutation
% 0.18/0.55
% 0.18/0.55 % (25722)Memory used [KB]: 1791
% 0.18/0.55 % (25722)Time elapsed: 0.037 s
% 0.18/0.55 % (25722)Instructions burned: 32 (million)
% 0.18/0.55 % (25722)------------------------------
% 0.18/0.55 % (25722)------------------------------
% 0.18/0.55 % (25706)Success in time 0.211 s
%------------------------------------------------------------------------------