TSTP Solution File: SEU173+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU173+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_sat --cores 0 -t %d %s
% Computer : n001.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 18:32:19 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 156 ( 9 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 179 ( 65 ~; 62 |; 32 &)
% ( 9 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 68 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(subsumption_resolution,[],[f149,f86]) ).
fof(f86,plain,
~ empty(sF9),
inference(superposition,[],[f80,f84]) ).
fof(f84,plain,
powerset(sK6) = sF9,
introduced(function_definition,[]) ).
fof(f80,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f149,plain,
empty(sF9),
inference(subsumption_resolution,[],[f146,f85]) ).
fof(f85,plain,
~ element(sK7,sF9),
inference(definition_folding,[],[f75,f84]) ).
fof(f75,plain,
~ element(sK7,powerset(sK6)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ~ element(sK7,powerset(sK6))
& ! [X2] :
( ~ in(X2,sK7)
| in(X2,sK6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1] :
( ~ element(X1,powerset(X0))
& ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) ) )
=> ( ~ element(sK7,powerset(sK6))
& ! [X2] :
( ~ in(X2,sK7)
| in(X2,sK6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1] :
( ~ element(X1,powerset(X0))
& ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X1,X0] :
( ~ element(X0,powerset(X1))
& ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f146,plain,
( element(sK7,sF9)
| empty(sF9) ),
inference(resolution,[],[f137,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( empty(X1)
| ( ( element(X0,X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ element(X0,X1) ) ) )
& ( ( ( element(X0,X1)
| ~ empty(X0) )
& ( empty(X0)
| ~ element(X0,X1) ) )
| ~ empty(X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ( empty(X0)
| ( ( element(X1,X0)
| ~ in(X1,X0) )
& ( in(X1,X0)
| ~ element(X1,X0) ) ) )
& ( ( ( element(X1,X0)
| ~ empty(X1) )
& ( empty(X1)
| ~ element(X1,X0) ) )
| ~ empty(X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ( empty(X0)
| ( element(X1,X0)
<=> in(X1,X0) ) )
& ( ( element(X1,X0)
<=> empty(X1) )
| ~ empty(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( ~ empty(X0)
=> ( element(X1,X0)
<=> in(X1,X0) ) )
& ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f137,plain,
in(sK7,sF9),
inference(forward_demodulation,[],[f136,f84]) ).
fof(f136,plain,
in(sK7,powerset(sK6)),
inference(resolution,[],[f132,f82]) ).
fof(f82,plain,
! [X2,X1] :
( ~ subset(X2,X1)
| in(X2,powerset(X1)) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( in(X2,X0)
| ~ subset(X2,X1)
| powerset(X1) != X0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X0)
| ~ subset(X2,X1) )
& ( subset(X2,X1)
| ~ in(X2,X0) ) )
| powerset(X1) != X0 )
& ( powerset(X1) = X0
| ( ( ~ subset(sK1(X0,X1),X1)
| ~ in(sK1(X0,X1),X0) )
& ( subset(sK1(X0,X1),X1)
| in(sK1(X0,X1),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ subset(X3,X1)
| ~ in(X3,X0) )
& ( subset(X3,X1)
| in(X3,X0) ) )
=> ( ( ~ subset(sK1(X0,X1),X1)
| ~ in(sK1(X0,X1),X0) )
& ( subset(sK1(X0,X1),X1)
| in(sK1(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X0)
| ~ subset(X2,X1) )
& ( subset(X2,X1)
| ~ in(X2,X0) ) )
| powerset(X1) != X0 )
& ( powerset(X1) = X0
| ? [X3] :
( ( ~ subset(X3,X1)
| ~ in(X3,X0) )
& ( subset(X3,X1)
| in(X3,X0) ) ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 )
& ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) )
<=> powerset(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f132,plain,
subset(sK7,sK6),
inference(duplicate_literal_removal,[],[f131]) ).
fof(f131,plain,
( subset(sK7,sK6)
| subset(sK7,sK6) ),
inference(resolution,[],[f67,f121]) ).
fof(f121,plain,
! [X0] :
( in(sK2(X0,sK7),sK6)
| subset(sK7,X0) ),
inference(resolution,[],[f66,f74]) ).
fof(f74,plain,
! [X2] :
( ~ in(X2,sK7)
| in(X2,sK6) ),
inference(cnf_transformation,[],[f52]) ).
fof(f66,plain,
! [X0,X1] :
( in(sK2(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( ~ in(sK2(X0,X1),X0)
& in(sK2(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f41,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X3] :
( ~ in(X3,X0)
& in(X3,X1) )
=> ( ~ in(sK2(X0,X1),X0)
& in(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( ~ in(X3,X0)
& in(X3,X1) ) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f67,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 15:07:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 % (8285)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)
% 0.18/0.43 % (8277)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)
% 0.18/0.44 % (8277)First to succeed.
% 0.18/0.44 % (8277)Refutation found. Thanks to Tanya!
% 0.18/0.44 % SZS status Theorem for theBenchmark
% 0.18/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.44 % (8277)------------------------------
% 0.18/0.44 % (8277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.44 % (8277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.44 % (8277)Termination reason: Refutation
% 0.18/0.44
% 0.18/0.44 % (8277)Memory used [KB]: 1023
% 0.18/0.44 % (8277)Time elapsed: 0.044 s
% 0.18/0.44 % (8277)Instructions burned: 5 (million)
% 0.18/0.44 % (8277)------------------------------
% 0.18/0.44 % (8277)------------------------------
% 0.18/0.44 % (8261)Success in time 0.104 s
%------------------------------------------------------------------------------