TSTP Solution File: SEU355+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n016.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 18:29:10 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 7 unt; 0 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 232 ( 87 ~; 76 |; 40 &)
% ( 9 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 88 ( 76 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
$false,
inference(avatar_sat_refutation,[],[f92,f103,f114]) ).
fof(f114,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| spl8_2 ),
inference(subsumption_resolution,[],[f110,f70]) ).
fof(f70,plain,
empty(empty_set),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f110,plain,
( ~ empty(empty_set)
| spl8_2 ),
inference(unit_resulting_resolution,[],[f105,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
~ ( in(X1,X0)
& empty(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X0] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f105,plain,
( in(sK0(sK4,empty_set,sK5),empty_set)
| spl8_2 ),
inference(unit_resulting_resolution,[],[f75,f73,f91,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( in(sK0(X0,X1,X2),X1)
| relstr_element_smaller(X0,X1,X2)
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK0(X0,X1,X2))
& in(sK0(X0,X1,X2),X1)
& element(sK0(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f43,f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK0(X0,X1,X2))
& in(sK0(X0,X1,X2),X1)
& element(sK0(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) ) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X2,X1] :
( ( ( relstr_element_smaller(X0,X2,X1)
| ? [X3] :
( ~ related(X0,X1,X3)
& in(X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( related(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X2,X1) ) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X2,X1] :
( ( relstr_element_smaller(X0,X2,X1)
<=> ! [X3] :
( related(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1,X2] :
( ( ! [X3] :
( related(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
<=> relstr_element_smaller(X0,X2,X1) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X1,the_carrier(X0))
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
=> related(X0,X1,X3) ) )
<=> relstr_element_smaller(X0,X2,X1) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( rel_str(X0)
=> ! [X2,X1] :
( 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(f91,plain,
( ~ relstr_element_smaller(sK4,empty_set,sK5)
| spl8_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl8_2
<=> relstr_element_smaller(sK4,empty_set,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f73,plain,
element(sK5,the_carrier(sK4)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( rel_str(sK4)
& ( ~ relstr_set_smaller(sK4,empty_set,sK5)
| ~ relstr_element_smaller(sK4,empty_set,sK5) )
& element(sK5,the_carrier(sK4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f40,f54,f53]) ).
fof(f53,plain,
( ? [X0] :
( rel_str(X0)
& ? [X1] :
( ( ~ relstr_set_smaller(X0,empty_set,X1)
| ~ relstr_element_smaller(X0,empty_set,X1) )
& element(X1,the_carrier(X0)) ) )
=> ( rel_str(sK4)
& ? [X1] :
( ( ~ relstr_set_smaller(sK4,empty_set,X1)
| ~ relstr_element_smaller(sK4,empty_set,X1) )
& element(X1,the_carrier(sK4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X1] :
( ( ~ relstr_set_smaller(sK4,empty_set,X1)
| ~ relstr_element_smaller(sK4,empty_set,X1) )
& element(X1,the_carrier(sK4)) )
=> ( ( ~ relstr_set_smaller(sK4,empty_set,sK5)
| ~ relstr_element_smaller(sK4,empty_set,sK5) )
& element(sK5,the_carrier(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0] :
( rel_str(X0)
& ? [X1] :
( ( ~ relstr_set_smaller(X0,empty_set,X1)
| ~ relstr_element_smaller(X0,empty_set,X1) )
& element(X1,the_carrier(X0)) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [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(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_element_smaller(X0,empty_set,X1)
& relstr_set_smaller(X0,empty_set,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(f75,plain,
rel_str(sK4),
inference(cnf_transformation,[],[f55]) ).
fof(f103,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f102,plain,
( $false
| spl8_1 ),
inference(subsumption_resolution,[],[f99,f70]) ).
fof(f99,plain,
( ~ empty(empty_set)
| spl8_1 ),
inference(unit_resulting_resolution,[],[f94,f81]) ).
fof(f94,plain,
( in(sK6(sK4,sK5,empty_set),empty_set)
| spl8_1 ),
inference(unit_resulting_resolution,[],[f75,f73,f87,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( in(sK6(X0,X1,X2),X2)
| ~ rel_str(X0)
| relstr_set_smaller(X0,X2,X1)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1,X2] :
( ~ element(X1,the_carrier(X0))
| ( ( ! [X3] :
( ~ in(X3,X2)
| related(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ( relstr_set_smaller(X0,X2,X1)
| ( in(sK6(X0,X1,X2),X2)
& ~ related(X0,sK6(X0,X1,X2),X1)
& element(sK6(X0,X1,X2),the_carrier(X0)) ) ) ) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ? [X4] :
( in(X4,X2)
& ~ related(X0,X4,X1)
& element(X4,the_carrier(X0)) )
=> ( in(sK6(X0,X1,X2),X2)
& ~ related(X0,sK6(X0,X1,X2),X1)
& element(sK6(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ! [X1,X2] :
( ~ element(X1,the_carrier(X0))
| ( ( ! [X3] :
( ~ in(X3,X2)
| related(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ( relstr_set_smaller(X0,X2,X1)
| ? [X4] :
( in(X4,X2)
& ~ related(X0,X4,X1)
& element(X4,the_carrier(X0)) ) ) ) )
| ~ rel_str(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X2,X1] :
( ~ element(X2,the_carrier(X0))
| ( ( ! [X3] :
( ~ in(X3,X1)
| related(X0,X3,X2)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( in(X3,X1)
& ~ related(X0,X3,X2)
& element(X3,the_carrier(X0)) ) ) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X2,X1] :
( ~ element(X2,the_carrier(X0))
| ( ! [X3] :
( ~ in(X3,X1)
| related(X0,X3,X2)
| ~ element(X3,the_carrier(X0)) )
<=> relstr_set_smaller(X0,X1,X2) ) )
| ~ rel_str(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [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)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( 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(f87,plain,
( ~ relstr_set_smaller(sK4,empty_set,sK5)
| spl8_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl8_1
<=> relstr_set_smaller(sK4,empty_set,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f92,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f74,f89,f85]) ).
fof(f74,plain,
( ~ relstr_element_smaller(sK4,empty_set,sK5)
| ~ relstr_set_smaller(sK4,empty_set,sK5) ),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU355+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_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.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 15:39:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.51 % (12989)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)
% 0.18/0.51 % (12984)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)
% 0.18/0.51 % (12976)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.51 % (12976)Refutation not found, incomplete strategy% (12976)------------------------------
% 0.18/0.51 % (12976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (12976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (12976)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (12976)Memory used [KB]: 5884
% 0.18/0.51 % (12976)Time elapsed: 0.119 s
% 0.18/0.51 % (12976)Instructions burned: 2 (million)
% 0.18/0.51 % (12976)------------------------------
% 0.18/0.51 % (12976)------------------------------
% 0.18/0.51 % (12989)Instruction limit reached!
% 0.18/0.51 % (12989)------------------------------
% 0.18/0.51 % (12989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (12989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (12989)Termination reason: Unknown
% 0.18/0.51 % (12989)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (12989)Memory used [KB]: 6012
% 0.18/0.51 % (12989)Time elapsed: 0.111 s
% 0.18/0.51 % (12989)Instructions burned: 3 (million)
% 0.18/0.51 % (12989)------------------------------
% 0.18/0.51 % (12989)------------------------------
% 0.18/0.51 % (12984)First to succeed.
% 0.18/0.51 % (12978)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)
% 0.18/0.51 % (12984)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (12984)------------------------------
% 0.18/0.51 % (12984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (12984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (12984)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (12984)Memory used [KB]: 6012
% 0.18/0.51 % (12984)Time elapsed: 0.112 s
% 0.18/0.51 % (12984)Instructions burned: 3 (million)
% 0.18/0.51 % (12984)------------------------------
% 0.18/0.51 % (12984)------------------------------
% 0.18/0.51 % (12974)Success in time 0.167 s
%------------------------------------------------------------------------------