TSTP Solution File: SEU133+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU133+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n013.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 18:32:04 EDT 2022
% Result : Theorem 2.04s 0.62s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 121 ( 10 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 154 ( 60 ~; 53 |; 33 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 69 ( 56 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f832,plain,
$false,
inference(resolution,[],[f826,f160]) ).
fof(f160,plain,
~ subset(set_difference(sK3,sK2),sK3),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
~ subset(set_difference(sK3,sK2),sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f100,f101]) ).
fof(f101,plain,
( ? [X0,X1] : ~ subset(set_difference(X1,X0),X1)
=> ~ subset(set_difference(sK3,sK2),sK3) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0,X1] : ~ subset(set_difference(X1,X0),X1),
inference(rectify,[],[f79]) ).
fof(f79,plain,
? [X1,X0] : ~ subset(set_difference(X0,X1),X0),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] : subset(set_difference(X0,X1),X0),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1] : subset(set_difference(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(f826,plain,
subset(set_difference(sK3,sK2),sK3),
inference(resolution,[],[f824,f150]) ).
fof(f150,plain,
! [X0,X1] :
( in(sK0(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( in(sK0(X0,X1),X1)
& ~ in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f90,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) )
=> ( in(sK0(X0,X1),X1)
& ~ in(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f824,plain,
! [X22] : ~ in(sK0(sK3,set_difference(sK3,sK2)),set_difference(sK3,X22)),
inference(resolution,[],[f213,f526]) ).
fof(f526,plain,
~ in(sK0(sK3,set_difference(sK3,sK2)),sK3),
inference(resolution,[],[f149,f160]) ).
fof(f149,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f213,plain,
! [X2,X3,X0] :
( in(X3,X0)
| ~ in(X3,set_difference(X0,X2)) ),
inference(equality_resolution,[],[f194]) ).
fof(f194,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(X3,X1)
| set_difference(X0,X2) != X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( in(X3,X0)
& ~ in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2) ) )
| set_difference(X0,X2) != X1 )
& ( set_difference(X0,X2) = X1
| ( ( ~ in(sK9(X0,X1,X2),X1)
| ~ in(sK9(X0,X1,X2),X0)
| in(sK9(X0,X1,X2),X2) )
& ( in(sK9(X0,X1,X2),X1)
| ( in(sK9(X0,X1,X2),X0)
& ~ in(sK9(X0,X1,X2),X2) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f125,f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2) )
& ( in(X4,X1)
| ( in(X4,X0)
& ~ in(X4,X2) ) ) )
=> ( ( ~ in(sK9(X0,X1,X2),X1)
| ~ in(sK9(X0,X1,X2),X0)
| in(sK9(X0,X1,X2),X2) )
& ( in(sK9(X0,X1,X2),X1)
| ( in(sK9(X0,X1,X2),X0)
& ~ in(sK9(X0,X1,X2),X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( in(X3,X0)
& ~ in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2) ) )
| set_difference(X0,X2) != X1 )
& ( set_difference(X0,X2) = X1
| ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2) )
& ( in(X4,X1)
| ( in(X4,X0)
& ~ in(X4,X2) ) ) ) ) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) ) )
| set_difference(X0,X1) != X2 )
& ( set_difference(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( in(X3,X2)
| ( in(X3,X0)
& ~ in(X3,X1) ) ) ) ) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) ) )
| set_difference(X0,X1) != X2 )
& ( set_difference(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( in(X3,X2)
| ( in(X3,X0)
& ~ in(X3,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X2,X1] :
( ! [X3] :
( ( in(X3,X0)
& ~ in(X3,X1) )
<=> in(X3,X2) )
<=> set_difference(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU133+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.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 14:37:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (27611)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)
% 0.20/0.55 % (27608)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)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 % (27616)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)
% 0.20/0.56 TRYING [2]
% 0.20/0.57 TRYING [3]
% 0.20/0.57 % (27624)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)
% 0.20/0.58 % (27603)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)
% 0.20/0.59 % (27606)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (27610)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.59 % (27612)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.59 % (27610)Instruction limit reached!
% 0.20/0.59 % (27610)------------------------------
% 0.20/0.59 % (27610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (27610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (27610)Termination reason: Unknown
% 0.20/0.59 % (27610)Termination phase: Property scanning
% 0.20/0.59
% 0.20/0.59 % (27610)Memory used [KB]: 1023
% 0.20/0.59 % (27610)Time elapsed: 0.003 s
% 0.20/0.59 % (27610)Instructions burned: 3 (million)
% 0.20/0.59 % (27610)------------------------------
% 0.20/0.59 % (27610)------------------------------
% 0.20/0.59 % (27607)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)
% 1.86/0.60 % (27604)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)
% 1.86/0.60 % (27625)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)
% 1.86/0.60 % (27619)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.86/0.60 % (27615)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.86/0.60 % (27628)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)
% 1.86/0.61 % (27617)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)
% 1.86/0.61 % (27603)Refutation not found, incomplete strategy% (27603)------------------------------
% 1.86/0.61 % (27603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61 % (27602)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)
% 1.86/0.61 % (27603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61 % (27603)Termination reason: Refutation not found, incomplete strategy
% 1.86/0.61
% 1.86/0.61 % (27603)Memory used [KB]: 5628
% 1.86/0.61 % (27631)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)
% 1.86/0.61 % (27603)Time elapsed: 0.187 s
% 1.86/0.61 % (27603)Instructions burned: 13 (million)
% 1.86/0.61 % (27603)------------------------------
% 1.86/0.61 % (27603)------------------------------
% 1.86/0.61 TRYING [4]
% 1.86/0.61 % (27605)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)
% 1.86/0.61 % (27623)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.04/0.62 TRYING [1]
% 2.04/0.62 % (27611)First to succeed.
% 2.04/0.62 % (27629)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)
% 2.04/0.62 TRYING [2]
% 2.04/0.62 % (27625)Also succeeded, but the first one will report.
% 2.04/0.62 % (27611)Refutation found. Thanks to Tanya!
% 2.04/0.62 % SZS status Theorem for theBenchmark
% 2.04/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.62 % (27611)------------------------------
% 2.04/0.62 % (27611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62 % (27611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62 % (27611)Termination reason: Refutation
% 2.04/0.62
% 2.04/0.62 % (27611)Memory used [KB]: 1407
% 2.04/0.62 % (27611)Time elapsed: 0.189 s
% 2.04/0.62 % (27611)Instructions burned: 24 (million)
% 2.04/0.62 % (27611)------------------------------
% 2.04/0.62 % (27611)------------------------------
% 2.04/0.62 % (27601)Success in time 0.266 s
%------------------------------------------------------------------------------