TSTP Solution File: SEU124+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU124+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 : n024.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 18:32:01 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 126 ( 11 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 155 ( 58 ~; 55 |; 32 &)
% ( 6 <=>; 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 : 75 ( 62 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f222,plain,
$false,
inference(subsumption_resolution,[],[f213,f140]) ).
fof(f140,plain,
~ subset(sK7,set_union2(sK7,sK8)),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
~ subset(sK7,set_union2(sK7,sK8)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f92,f93]) ).
fof(f93,plain,
( ? [X0,X1] : ~ subset(X0,set_union2(X0,X1))
=> ~ subset(sK7,set_union2(sK7,sK8)) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
? [X0,X1] : ~ subset(X0,set_union2(X0,X1)),
inference(rectify,[],[f48]) ).
fof(f48,plain,
? [X1,X0] : ~ subset(X1,set_union2(X1,X0)),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
~ ! [X1,X0] : subset(X1,set_union2(X1,X0)),
inference(rectify,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X1,X0] : subset(X0,set_union2(X0,X1)),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X1,X0] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f213,plain,
subset(sK7,set_union2(sK7,sK8)),
inference(resolution,[],[f208,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f63,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X0)
& ~ in(X3,X1) )
=> ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( in(X3,X0)
& ~ in(X3,X1) ) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f208,plain,
! [X8] : in(sK0(sK7,set_union2(sK7,sK8)),set_union2(sK7,X8)),
inference(resolution,[],[f151,f193]) ).
fof(f193,plain,
in(sK0(sK7,set_union2(sK7,sK8)),sK7),
inference(resolution,[],[f105,f140]) ).
fof(f105,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f151,plain,
! [X2,X3,X0] :
( ~ in(X3,X0)
| in(X3,set_union2(X0,X2)) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| set_union2(X0,X2) != X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X1)
| ( ~ in(X3,X0)
& ~ in(X3,X2) ) )
& ( in(X3,X0)
| in(X3,X2)
| ~ in(X3,X1) ) )
| set_union2(X0,X2) != X1 )
& ( set_union2(X0,X2) = X1
| ( ( ( ~ in(sK5(X0,X1,X2),X0)
& ~ in(sK5(X0,X1,X2),X2) )
| ~ in(sK5(X0,X1,X2),X1) )
& ( in(sK5(X0,X1,X2),X0)
| in(sK5(X0,X1,X2),X2)
| in(sK5(X0,X1,X2),X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f83,f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ( ~ in(X4,X0)
& ~ in(X4,X2) )
| ~ in(X4,X1) )
& ( in(X4,X0)
| in(X4,X2)
| in(X4,X1) ) )
=> ( ( ( ~ in(sK5(X0,X1,X2),X0)
& ~ in(sK5(X0,X1,X2),X2) )
| ~ in(sK5(X0,X1,X2),X1) )
& ( in(sK5(X0,X1,X2),X0)
| in(sK5(X0,X1,X2),X2)
| in(sK5(X0,X1,X2),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X1)
| ( ~ in(X3,X0)
& ~ in(X3,X2) ) )
& ( in(X3,X0)
| in(X3,X2)
| ~ in(X3,X1) ) )
| set_union2(X0,X2) != X1 )
& ( set_union2(X0,X2) = X1
| ? [X4] :
( ( ( ~ in(X4,X0)
& ~ in(X4,X2) )
| ~ in(X4,X1) )
& ( in(X4,X0)
| in(X4,X2)
| in(X4,X1) ) ) ) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ( in(X3,X1)
| ( ~ in(X3,X2)
& ~ in(X3,X0) ) )
& ( in(X3,X2)
| in(X3,X0)
| ~ in(X3,X1) ) )
| set_union2(X2,X0) != X1 )
& ( set_union2(X2,X0) = X1
| ? [X3] :
( ( ( ~ in(X3,X2)
& ~ in(X3,X0) )
| ~ in(X3,X1) )
& ( in(X3,X2)
| in(X3,X0)
| in(X3,X1) ) ) ) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ( in(X3,X1)
| ( ~ in(X3,X2)
& ~ in(X3,X0) ) )
& ( in(X3,X2)
| in(X3,X0)
| ~ in(X3,X1) ) )
| set_union2(X2,X0) != X1 )
& ( set_union2(X2,X0) = X1
| ? [X3] :
( ( ( ~ in(X3,X2)
& ~ in(X3,X0) )
| ~ in(X3,X1) )
& ( in(X3,X2)
| in(X3,X0)
| in(X3,X1) ) ) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( ! [X3] :
( in(X3,X1)
<=> ( in(X3,X2)
| in(X3,X0) ) )
<=> set_union2(X2,X0) = X1 ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( ( in(X3,X0)
| in(X3,X1) )
<=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU124+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 14:42:19 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.50 % (26193)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.51 % (26185)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 (3000ds/37Mi)
% 0.21/0.51 % (26192)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 (3000ds/51Mi)
% 0.21/0.51 % (26206)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 (3000ds/467Mi)
% 0.21/0.51 % (26203)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 (3000ds/176Mi)
% 0.21/0.51 % (26190)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.51 % (26202)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 (3000ds/100Mi)
% 0.21/0.51 % (26189)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.52 % (26208)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.21/0.52 % (26195)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.21/0.52 % (26198)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 (3000ds/75Mi)
% 0.21/0.52 % (26211)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.21/0.52 % (26190)Instruction limit reached!
% 0.21/0.52 % (26190)------------------------------
% 0.21/0.52 % (26190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (26200)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (26206)First to succeed.
% 0.21/0.53 % (26190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (26190)Termination reason: Unknown
% 0.21/0.53 % (26190)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (26190)Memory used [KB]: 5500
% 0.21/0.53 % (26190)Time elapsed: 0.107 s
% 0.21/0.53 % (26190)Instructions burned: 8 (million)
% 0.21/0.53 % (26190)------------------------------
% 0.21/0.53 % (26190)------------------------------
% 0.21/0.53 % (26191)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.53 % (26187)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53 % (26191)Instruction limit reached!
% 0.21/0.53 % (26191)------------------------------
% 0.21/0.53 % (26191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (26191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (26191)Termination reason: Unknown
% 0.21/0.53 % (26191)Termination phase: Blocked clause elimination
% 0.21/0.53
% 0.21/0.53 % (26191)Memory used [KB]: 895
% 0.21/0.53 % (26191)Time elapsed: 0.002 s
% 0.21/0.53 % (26191)Instructions burned: 3 (million)
% 0.21/0.53 % (26191)------------------------------
% 0.21/0.53 % (26191)------------------------------
% 0.21/0.54 % (26206)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (26206)------------------------------
% 0.21/0.54 % (26206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (26206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (26206)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (26206)Memory used [KB]: 5500
% 0.21/0.54 % (26206)Time elapsed: 0.110 s
% 0.21/0.54 % (26206)Instructions burned: 7 (million)
% 0.21/0.54 % (26206)------------------------------
% 0.21/0.54 % (26206)------------------------------
% 0.21/0.54 % (26182)Success in time 0.169 s
%------------------------------------------------------------------------------