TSTP Solution File: NUM610+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM610+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 : n027.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 18:06:06 EDT 2022
% Result : Theorem 1.86s 0.60s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 117 ( 2 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 137 ( 54 ~; 48 |; 25 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f915,plain,
$false,
inference(avatar_sat_refutation,[],[f692,f914]) ).
fof(f914,plain,
~ spl29_8,
inference(avatar_contradiction_clause,[],[f913]) ).
fof(f913,plain,
( $false
| ~ spl29_8 ),
inference(unit_resulting_resolution,[],[f357,f461,f541,f437,f674,f451,f359]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X0,X2) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| ~ aSubsetOf0(X0,X2)
| ~ aSet0(X0)
| ~ aSubsetOf0(X2,X1)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1) ),
inference(rectify,[],[f189]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X0)
| aSubsetOf0(X2,X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X2,X0,X1] :
( aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ( aSet0(X0)
& aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X2,X1)
& aSubsetOf0(X1,X0) )
=> aSubsetOf0(X2,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1,X0] :
( ( aSet0(X0)
& aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f451,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
( slcrc0 != xQ
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f674,plain,
( aSet0(xQ)
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f673,plain,
( spl29_8
<=> aSet0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).
fof(f437,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f541,plain,
~ aSubsetOf0(xP,xO),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
~ aSubsetOf0(xP,xO),
inference(flattening,[],[f109]) ).
fof(f109,negated_conjecture,
~ aSubsetOf0(xP,xO),
inference(negated_conjecture,[],[f108]) ).
fof(f108,conjecture,
aSubsetOf0(xP,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f461,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,axiom,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5195) ).
fof(f357,plain,
aSet0(xP),
inference(cnf_transformation,[],[f104]) ).
fof(f104,axiom,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& aSet0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
fof(f692,plain,
spl29_8,
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f689,plain,
( $false
| spl29_8 ),
inference(unit_resulting_resolution,[],[f437,f451,f675,f565]) ).
fof(f565,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| aSet0(X1) ),
inference(cnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK28(X0,X1),X0)
& aElementOf0(sK28(X0,X1),X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f352,f353]) ).
fof(f353,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
=> ( ~ aElementOf0(sK28(X0,X1),X0)
& aElementOf0(sK28(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X3] :
( ~ aElementOf0(X3,X0)
& aElementOf0(X3,X1) ) ) ) ),
inference(rectify,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) ) ) ),
inference(flattening,[],[f350]) ).
fof(f350,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
<=> aSubsetOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) )
<=> aSubsetOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f675,plain,
( ~ aSet0(xQ)
| spl29_8 ),
inference(avatar_component_clause,[],[f673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : NUM610+1 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 07:36:31 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.48 % (6904)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)
% 0.16/0.48 % (6902)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.48 % (6913)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)
% 0.16/0.49 % (6905)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)
% 0.16/0.50 % (6912)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)
% 0.16/0.50 % (6892)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)
% 0.16/0.50 % (6894)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50 % (6896)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)
% 0.16/0.50 % (6897)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50 % (6903)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.51 % (6897)Instruction limit reached!
% 0.16/0.51 % (6897)------------------------------
% 0.16/0.51 % (6897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (6893)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)
% 0.16/0.51 % (6897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (6897)Termination reason: Unknown
% 0.16/0.51 % (6897)Termination phase: Property scanning
% 0.16/0.51
% 0.16/0.51 % (6897)Memory used [KB]: 1279
% 0.16/0.51 % (6897)Time elapsed: 0.011 s
% 0.16/0.51 % (6897)Instructions burned: 8 (million)
% 0.16/0.51 % (6897)------------------------------
% 0.16/0.51 % (6897)------------------------------
% 0.16/0.52 % (6910)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)
% 0.16/0.52 % (6890)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)
% 0.16/0.52 % (6918)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.52 % (6895)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)
% 0.16/0.53 % (6891)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)
% 0.16/0.53 % (6899)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)
% 0.16/0.54 % (6900)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.54 % (6907)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.54 % (6919)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)
% 0.16/0.54 % (6908)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.54 % (6906)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)
% 0.16/0.55 % (6911)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.55 % (6909)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)
% 1.56/0.55 % (6898)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.56/0.55 % (6898)Instruction limit reached!
% 1.56/0.55 % (6898)------------------------------
% 1.56/0.55 % (6898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (6898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (6898)Termination reason: Unknown
% 1.56/0.55 % (6898)Termination phase: Unused predicate definition removal
% 1.56/0.55
% 1.56/0.55 % (6898)Memory used [KB]: 1023
% 1.56/0.55 % (6898)Time elapsed: 0.003 s
% 1.56/0.55 % (6898)Instructions burned: 2 (million)
% 1.56/0.55 % (6898)------------------------------
% 1.56/0.55 % (6898)------------------------------
% 1.56/0.55 % (6916)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)
% 1.56/0.56 % (6915)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.56/0.56 TRYING [1]
% 1.56/0.56 % (6901)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)
% 1.86/0.57 % (6914)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.86/0.58 % (6917)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)
% 1.86/0.58 TRYING [2]
% 1.86/0.58 % (6896)Instruction limit reached!
% 1.86/0.58 % (6896)------------------------------
% 1.86/0.58 % (6896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.58 % (6896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.58 % (6896)Termination reason: Unknown
% 1.86/0.58 % (6896)Termination phase: Finite model building constraint generation
% 1.86/0.58
% 1.86/0.58 % (6896)Memory used [KB]: 7675
% 1.86/0.58 % (6896)Time elapsed: 0.208 s
% 1.86/0.58 % (6896)Instructions burned: 52 (million)
% 1.86/0.58 % (6896)------------------------------
% 1.86/0.58 % (6896)------------------------------
% 1.86/0.59 % (6891)First to succeed.
% 1.86/0.59 % (6892)Instruction limit reached!
% 1.86/0.59 % (6892)------------------------------
% 1.86/0.59 % (6892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60 % (6891)Refutation found. Thanks to Tanya!
% 1.86/0.60 % SZS status Theorem for theBenchmark
% 1.86/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.60 % (6891)------------------------------
% 1.86/0.60 % (6891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60 % (6891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60 % (6891)Termination reason: Refutation
% 1.86/0.60
% 1.86/0.60 % (6891)Memory used [KB]: 6140
% 1.86/0.60 % (6891)Time elapsed: 0.211 s
% 1.86/0.60 % (6891)Instructions burned: 29 (million)
% 1.86/0.60 % (6891)------------------------------
% 1.86/0.60 % (6891)------------------------------
% 1.86/0.60 % (6889)Success in time 0.284 s
%------------------------------------------------------------------------------