TSTP Solution File: SEU355+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU355+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 : n027.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 18:33:23 EDT 2022
% Result : Theorem 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 58 ( 9 unt; 0 def)
% Number of atoms : 215 ( 4 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 262 ( 105 ~; 91 |; 40 &)
% ( 8 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 101 ( 87 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,plain,
$false,
inference(avatar_sat_refutation,[],[f100,f140,f190]) ).
fof(f190,plain,
spl9_2,
inference(avatar_contradiction_clause,[],[f189]) ).
fof(f189,plain,
( $false
| spl9_2 ),
inference(subsumption_resolution,[],[f187,f85]) ).
fof(f85,plain,
empty(sK7),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
empty(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f15,f63]) ).
fof(f63,plain,
( ? [X0] : empty(X0)
=> empty(sK7) ),
introduced(choice_axiom,[]) ).
fof(f15,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f187,plain,
( ~ empty(sK7)
| spl9_2 ),
inference(resolution,[],[f182,f141]) ).
fof(f141,plain,
( ~ relstr_element_smaller(sK3,sK7,sK4)
| spl9_2 ),
inference(forward_demodulation,[],[f99,f101]) ).
fof(f101,plain,
empty_set = sK7,
inference(resolution,[],[f72,f85]) ).
fof(f72,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f99,plain,
( ~ relstr_element_smaller(sK3,empty_set,sK4)
| spl9_2 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl9_2
<=> relstr_element_smaller(sK3,empty_set,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f182,plain,
! [X2] :
( relstr_element_smaller(sK3,X2,sK4)
| ~ empty(X2) ),
inference(subsumption_resolution,[],[f177,f77]) ).
fof(f77,plain,
rel_str(sK3),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( rel_str(sK3)
& element(sK4,the_carrier(sK3))
& ( ~ relstr_element_smaller(sK3,empty_set,sK4)
| ~ relstr_set_smaller(sK3,empty_set,sK4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f35,f53,f52]) ).
fof(f52,plain,
( ? [X0] :
( rel_str(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ( ~ relstr_element_smaller(X0,empty_set,X1)
| ~ relstr_set_smaller(X0,empty_set,X1) ) ) )
=> ( rel_str(sK3)
& ? [X1] :
( element(X1,the_carrier(sK3))
& ( ~ relstr_element_smaller(sK3,empty_set,X1)
| ~ relstr_set_smaller(sK3,empty_set,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X1] :
( element(X1,the_carrier(sK3))
& ( ~ relstr_element_smaller(sK3,empty_set,X1)
| ~ relstr_set_smaller(sK3,empty_set,X1) ) )
=> ( element(sK4,the_carrier(sK3))
& ( ~ relstr_element_smaller(sK3,empty_set,sK4)
| ~ relstr_set_smaller(sK3,empty_set,sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] :
( rel_str(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ( ~ relstr_element_smaller(X0,empty_set,X1)
| ~ relstr_set_smaller(X0,empty_set,X1) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) ) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(f177,plain,
! [X2] :
( ~ empty(X2)
| relstr_element_smaller(sK3,X2,sK4)
| ~ rel_str(sK3) ),
inference(resolution,[],[f128,f76]) ).
fof(f76,plain,
element(sK4,the_carrier(sK3)),
inference(cnf_transformation,[],[f54]) ).
fof(f128,plain,
! [X8,X6,X7] :
( ~ element(X8,the_carrier(X6))
| ~ empty(X7)
| relstr_element_smaller(X6,X7,X8)
| ~ rel_str(X6) ),
inference(resolution,[],[f91,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
~ ( empty(X0)
& in(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X0] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f91,plain,
! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X1)
| relstr_element_smaller(X0,X1,X2)
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ( in(sK8(X0,X1,X2),X1)
& element(sK8(X0,X1,X2),the_carrier(X0))
& ~ related(X0,X2,sK8(X0,X1,X2)) ) )
& ( ! [X4] :
( ~ in(X4,X1)
| ~ element(X4,the_carrier(X0))
| related(X0,X2,X4) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f66,f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ? [X3] :
( in(X3,X1)
& element(X3,the_carrier(X0))
& ~ related(X0,X2,X3) )
=> ( in(sK8(X0,X1,X2),X1)
& element(sK8(X0,X1,X2),the_carrier(X0))
& ~ related(X0,X2,sK8(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( in(X3,X1)
& element(X3,the_carrier(X0))
& ~ related(X0,X2,X3) ) )
& ( ! [X4] :
( ~ in(X4,X1)
| ~ element(X4,the_carrier(X0))
| related(X0,X2,X4) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( in(X3,X1)
& element(X3,the_carrier(X0))
& ~ related(X0,X2,X3) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| ~ element(X3,the_carrier(X0))
| related(X0,X2,X3) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( ~ in(X3,X1)
| ~ element(X3,the_carrier(X0))
| related(X0,X2,X3) ) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1,X2] :
( ( ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
<=> relstr_element_smaller(X0,X1,X2) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) )
<=> relstr_element_smaller(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3) ).
fof(f140,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| spl9_1 ),
inference(subsumption_resolution,[],[f138,f85]) ).
fof(f138,plain,
( ~ empty(sK7)
| spl9_1 ),
inference(resolution,[],[f137,f104]) ).
fof(f104,plain,
( ~ relstr_set_smaller(sK3,sK7,sK4)
| spl9_1 ),
inference(backward_demodulation,[],[f95,f101]) ).
fof(f95,plain,
( ~ relstr_set_smaller(sK3,empty_set,sK4)
| spl9_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl9_1
<=> relstr_set_smaller(sK3,empty_set,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f137,plain,
! [X0] :
( relstr_set_smaller(sK3,X0,sK4)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f133,f77]) ).
fof(f133,plain,
! [X0] :
( relstr_set_smaller(sK3,X0,sK4)
| ~ rel_str(sK3)
| ~ empty(X0) ),
inference(resolution,[],[f125,f76]) ).
fof(f125,plain,
! [X8,X6,X7] :
( ~ element(X7,the_carrier(X6))
| ~ empty(X8)
| ~ rel_str(X6)
| relstr_set_smaller(X6,X8,X7) ),
inference(resolution,[],[f79,f83]) ).
fof(f79,plain,
! [X2,X0,X1] :
( in(sK5(X0,X1,X2),X2)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| relstr_set_smaller(X0,X2,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ( ( ! [X3] :
( related(X0,X3,X1)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ( relstr_set_smaller(X0,X2,X1)
| ( ~ related(X0,sK5(X0,X1,X2),X1)
& in(sK5(X0,X1,X2),X2)
& element(sK5(X0,X1,X2),the_carrier(X0)) ) ) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f56,f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ related(X0,X4,X1)
& in(X4,X2)
& element(X4,the_carrier(X0)) )
=> ( ~ related(X0,sK5(X0,X1,X2),X1)
& in(sK5(X0,X1,X2),X2)
& element(sK5(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ( ( ! [X3] :
( related(X0,X3,X1)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ( relstr_set_smaller(X0,X2,X1)
| ? [X4] :
( ~ related(X0,X4,X1)
& in(X4,X2)
& element(X4,the_carrier(X0)) ) ) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X2,X1] :
( ( ( ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X3,X2)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) ) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X2,X1] :
( ( ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
<=> relstr_set_smaller(X0,X1,X2) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X2,X1] :
( ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( rel_str(X0)
=> ! [X2,X1] :
( element(X2,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lattice3) ).
fof(f100,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f75,f97,f93]) ).
fof(f75,plain,
( ~ relstr_element_smaller(sK3,empty_set,sK4)
| ~ relstr_set_smaller(sK3,empty_set,sK4) ),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.33 % Computer : n027.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Aug 30 15:32:01 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.15/0.48 % (21395)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48 % (21394)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)
% 0.15/0.49 % (21404)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.49 TRYING [1]
% 0.15/0.49 TRYING [2]
% 0.15/0.49 % (21395)First to succeed.
% 0.15/0.50 % (21412)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.50 TRYING [3]
% 0.15/0.50 TRYING [4]
% 0.15/0.50 % (21411)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)
% 0.15/0.50 % (21403)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)
% 0.15/0.51 % (21395)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Theorem for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (21395)------------------------------
% 0.15/0.51 % (21395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (21395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (21395)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (21395)Memory used [KB]: 5500
% 0.15/0.51 % (21395)Time elapsed: 0.106 s
% 0.15/0.51 % (21395)Instructions burned: 5 (million)
% 0.15/0.51 % (21395)------------------------------
% 0.15/0.51 % (21395)------------------------------
% 0.15/0.51 % (21387)Success in time 0.173 s
%------------------------------------------------------------------------------