TSTP Solution File: SEU124+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU124+1 : 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_uns --cores 0 -t %d %s
% Computer : n023.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 18:26:45 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 127 ( 13 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 154 ( 58 ~; 56 |; 32 &)
% ( 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 : 83 ( 72 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f146,plain,
$false,
inference(resolution,[],[f144,f60]) ).
fof(f60,plain,
~ subset(sK4,set_union2(sK4,sK3)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
~ subset(sK4,set_union2(sK4,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f27,f42]) ).
fof(f42,plain,
( ? [X0,X1] : ~ subset(X1,set_union2(X1,X0))
=> ~ subset(sK4,set_union2(sK4,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1] : ~ subset(X1,set_union2(X1,X0)),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] : subset(X1,set_union2(X1,X0)),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X1,X0] : subset(X0,set_union2(X0,X1)),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X1,X0] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f144,plain,
! [X2,X1] : subset(X2,set_union2(X2,X1)),
inference(superposition,[],[f141,f57]) ).
fof(f57,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f141,plain,
! [X0,X1] : subset(X0,set_union2(X1,X0)),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( subset(X0,set_union2(X1,X0))
| subset(X0,set_union2(X1,X0)) ),
inference(resolution,[],[f85,f51]) ).
fof(f51,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
=> ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f85,plain,
! [X8,X6,X7] :
( ~ in(sK0(X6,set_union2(X7,X8)),X8)
| subset(X6,set_union2(X7,X8)) ),
inference(resolution,[],[f70,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f70,plain,
! [X2,X0,X4] :
( in(X4,set_union2(X2,X0))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f62]) ).
fof(f62,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X0)
| set_union2(X2,X0) != X1 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( set_union2(X2,X0) = X1
| ( ( ~ in(sK5(X0,X1,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) ) ) )
& ( ! [X4] :
( ( in(X4,X0)
| in(X4,X2)
| ~ in(X4,X1) )
& ( in(X4,X1)
| ( ~ in(X4,X0)
& ~ in(X4,X2) ) ) )
| set_union2(X2,X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f46,f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ( ~ in(X3,X0)
& ~ in(X3,X2) ) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,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)
| in(sK5(X0,X1,X2),X0)
| in(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( set_union2(X2,X0) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ( ~ in(X3,X0)
& ~ in(X3,X2) ) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X0)
| in(X4,X2)
| ~ in(X4,X1) )
& ( in(X4,X1)
| ( ~ in(X4,X0)
& ~ in(X4,X2) ) ) )
| set_union2(X2,X0) != X1 ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X2,X0] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X2)
| in(X3,X1)
| in(X3,X0) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) )
& ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X1,X2,X0] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X2)
| in(X3,X1)
| in(X3,X0) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) )
& ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X2,X0] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( ( in(X3,X1)
| in(X3,X0) )
<=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU124+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n023.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 15:01:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (7366)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (7365)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (7365)First to succeed.
% 0.20/0.54 % (7374)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (7362)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (7367)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55 % (7375)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (7382)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.55 % (7383)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (7370)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (7374)Instruction limit reached!
% 0.20/0.55 % (7374)------------------------------
% 0.20/0.55 % (7374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (7374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (7374)Termination reason: Unknown
% 0.20/0.55 % (7374)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (7374)Memory used [KB]: 6012
% 0.20/0.55 % (7374)Time elapsed: 0.127 s
% 0.20/0.55 % (7374)Instructions burned: 7 (million)
% 0.20/0.55 % (7374)------------------------------
% 0.20/0.55 % (7374)------------------------------
% 0.20/0.56 % (7378)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.56 % (7373)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 % (7373)Instruction limit reached!
% 0.20/0.56 % (7373)------------------------------
% 0.20/0.56 % (7373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (7373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (7373)Termination reason: Unknown
% 0.20/0.56 % (7373)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (7373)Memory used [KB]: 5884
% 0.20/0.56 % (7373)Time elapsed: 0.134 s
% 0.20/0.56 % (7373)Instructions burned: 3 (million)
% 0.20/0.56 % (7373)------------------------------
% 0.20/0.56 % (7373)------------------------------
% 0.20/0.56 % (7382)Refutation not found, incomplete strategy% (7382)------------------------------
% 0.20/0.56 % (7382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (7382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (7382)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (7382)Memory used [KB]: 1407
% 0.20/0.56 % (7382)Time elapsed: 0.126 s
% 0.20/0.56 % (7382)Instructions burned: 3 (million)
% 0.20/0.56 % (7382)------------------------------
% 0.20/0.56 % (7382)------------------------------
% 0.20/0.56 % (7383)Also succeeded, but the first one will report.
% 0.20/0.56 % (7365)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (7365)------------------------------
% 0.20/0.56 % (7365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (7365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (7365)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (7365)Memory used [KB]: 6012
% 0.20/0.56 % (7365)Time elapsed: 0.112 s
% 0.20/0.56 % (7365)Instructions burned: 5 (million)
% 0.20/0.56 % (7365)------------------------------
% 0.20/0.56 % (7365)------------------------------
% 0.20/0.56 % (7358)Success in time 0.201 s
%------------------------------------------------------------------------------