TSTP Solution File: SEU121+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU121+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 : n002.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 18:26:44 EDT 2022
% Result : Theorem 1.25s 0.53s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 26 ~; 14 |; 23 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 33 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70,plain,
$false,
inference(subsumption_resolution,[],[f60,f58]) ).
fof(f58,plain,
~ in(sK0(sK3,sK5),sK4),
inference(unit_resulting_resolution,[],[f47,f53,f37]) ).
fof(f37,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X0,X1)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f53,plain,
~ in(sK0(sK3,sK5),sK5),
inference(unit_resulting_resolution,[],[f48,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
~ subset(sK3,sK5),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ~ subset(sK3,sK5)
& subset(sK4,sK5)
& subset(sK3,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f33,f34]) ).
fof(f34,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) )
=> ( ~ subset(sK3,sK5)
& subset(sK4,sK5)
& subset(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X1,X2)
& subset(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
? [X1,X0,X2] :
( ~ subset(X1,X2)
& subset(X0,X2)
& subset(X1,X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X1,X0,X2] :
( ~ subset(X1,X2)
& subset(X1,X0)
& subset(X0,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X1,X0,X2] :
( ( subset(X1,X0)
& subset(X0,X2) )
=> subset(X1,X2) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X1,X0,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X1,X0,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f47,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f35]) ).
fof(f60,plain,
in(sK0(sK3,sK5),sK4),
inference(unit_resulting_resolution,[],[f46,f56,f37]) ).
fof(f56,plain,
in(sK0(sK3,sK5),sK3),
inference(resolution,[],[f48,f38]) ).
fof(f38,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:51:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (8605)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)
% 1.25/0.52 % (8604)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)
% 1.25/0.53 % (8605)First to succeed.
% 1.25/0.53 % (8613)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)
% 1.25/0.53 % (8621)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)
% 1.25/0.53 % (8615)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.25/0.53 % (8620)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.25/0.53 % (8607)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.25/0.53 TRYING [1]
% 1.25/0.53 % (8612)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)
% 1.25/0.53 % (8605)Refutation found. Thanks to Tanya!
% 1.25/0.53 % SZS status Theorem for theBenchmark
% 1.25/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.53 % (8605)------------------------------
% 1.25/0.53 % (8605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53 % (8605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53 % (8605)Termination reason: Refutation
% 1.25/0.53
% 1.25/0.53 % (8605)Memory used [KB]: 5884
% 1.25/0.53 % (8605)Time elapsed: 0.103 s
% 1.25/0.53 % (8605)Instructions burned: 2 (million)
% 1.25/0.53 % (8605)------------------------------
% 1.25/0.53 % (8605)------------------------------
% 1.25/0.53 % (8597)Success in time 0.175 s
%------------------------------------------------------------------------------