TSTP Solution File: SEU232+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU232+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Fri May 3 03:05:08 EDT 2024
% Result : Theorem 52.11s 8.19s
% Output : CNFRefutation 52.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 156 ( 19 unt; 0 def)
% Number of atoms : 471 ( 46 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 547 ( 232 ~; 232 |; 62 &)
% ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 202 ( 1 sgn 109 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f6,axiom,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
=> ordinal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_ordinal1) ).
fof(f7,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f8,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2)
& in(X2,X0)
& in(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(f9,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f10,axiom,
! [X0] :
( ordinal(X0)
<=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f12,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f30,conjecture,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f31,negated_conjecture,
~ ! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f32,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f34,axiom,
! [X0,X1,X2] :
~ ( in(X2,X0)
& in(X1,X2)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_ordinal1) ).
fof(f40,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f50,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f56,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f57,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f59,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( in(X2,X1)
| X1 = X2
| in(X1,X2)
| ~ in(X2,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f60,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f64,plain,
? [X0,X1] :
( ~ ordinal(X0)
& in(X0,X1)
& ordinal(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f65,plain,
? [X0,X1] :
( ~ ordinal(X0)
& in(X0,X1)
& ordinal(X1) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f67,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ in(X2,X0)
| ~ in(X1,X2)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f73,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f76,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f77,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) )
=> ( ~ subset(sK0(X0),X0)
& in(sK0(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK0(X0),X0)
& in(sK0(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f77,f78]) ).
fof(f80,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2)
& in(X2,X0)
& in(X1,X0) ) )
& ( ! [X1,X2] :
( in(X2,X1)
| X1 = X2
| in(X1,X2)
| ~ in(X2,X0)
| ~ in(X1,X0) )
| ~ epsilon_connected(X0) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f81,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2)
& in(X2,X0)
& in(X1,X0) ) )
& ( ! [X3,X4] :
( in(X4,X3)
| X3 = X4
| in(X3,X4)
| ~ in(X4,X0)
| ~ in(X3,X0) )
| ~ epsilon_connected(X0) ) ),
inference(rectify,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ? [X1,X2] :
( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2)
& in(X2,X0)
& in(X1,X0) )
=> ( ~ in(sK2(X0),sK1(X0))
& sK1(X0) != sK2(X0)
& ~ in(sK1(X0),sK2(X0))
& in(sK2(X0),X0)
& in(sK1(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ( epsilon_connected(X0)
| ( ~ in(sK2(X0),sK1(X0))
& sK1(X0) != sK2(X0)
& ~ in(sK1(X0),sK2(X0))
& in(sK2(X0),X0)
& in(sK1(X0),X0) ) )
& ( ! [X3,X4] :
( in(X4,X3)
| X3 = X4
| in(X3,X4)
| ~ in(X4,X0)
| ~ in(X3,X0) )
| ~ epsilon_connected(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f81,f82]) ).
fof(f84,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,[],[f60]) ).
fof(f85,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,[],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f85,f86]) ).
fof(f88,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) )
& ( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f89,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) )
& ( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) ) ),
inference(flattening,[],[f88]) ).
fof(f95,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] : element(sK5(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f12,f95]) ).
fof(f119,plain,
( ? [X0,X1] :
( ~ ordinal(X0)
& in(X0,X1)
& ordinal(X1) )
=> ( ~ ordinal(sK17)
& in(sK17,sK18)
& ordinal(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ~ ordinal(sK17)
& in(sK17,sK18)
& ordinal(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f65,f119]) ).
fof(f124,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f131,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f132,plain,
! [X2,X0] :
( subset(X2,X0)
| ~ in(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f133,plain,
! [X0] :
( epsilon_transitive(X0)
| in(sK0(X0),X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f134,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ subset(sK0(X0),X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f135,plain,
! [X3,X0,X4] :
( in(X4,X3)
| X3 = X4
| in(X3,X4)
| ~ in(X4,X0)
| ~ in(X3,X0)
| ~ epsilon_connected(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f136,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK1(X0),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f137,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK2(X0),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f138,plain,
! [X0] :
( epsilon_connected(X0)
| ~ in(sK1(X0),sK2(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f139,plain,
! [X0] :
( epsilon_connected(X0)
| sK1(X0) != sK2(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f140,plain,
! [X0] :
( epsilon_connected(X0)
| ~ in(sK2(X0),sK1(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f141,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f142,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f143,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f144,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f145,plain,
! [X0] :
( epsilon_connected(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f153,plain,
! [X0] : element(sK5(X0),X0),
inference(cnf_transformation,[],[f96]) ).
fof(f183,plain,
ordinal(sK18),
inference(cnf_transformation,[],[f120]) ).
fof(f184,plain,
in(sK17,sK18),
inference(cnf_transformation,[],[f120]) ).
fof(f185,plain,
~ ordinal(sK17),
inference(cnf_transformation,[],[f120]) ).
fof(f186,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| ~ in(X1,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f195,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_49,plain,
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_54,plain,
( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_55,plain,
( ~ subset(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_56,plain,
( in(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_57,plain,
( ~ in(X0,X1)
| ~ epsilon_transitive(X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_58,plain,
( ~ in(sK2(X0),sK1(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_59,plain,
( sK2(X0) != sK1(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_60,plain,
( ~ in(sK1(X0),sK2(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_61,plain,
( in(sK2(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_62,plain,
( in(sK1(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_63,plain,
( ~ in(X0,X1)
| ~ in(X2,X1)
| ~ epsilon_connected(X1)
| X0 = X2
| in(X0,X2)
| in(X2,X0) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_64,plain,
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_65,plain,
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_66,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_68,plain,
( ~ ordinal(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_69,plain,
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_76,plain,
element(sK5(X0),X0),
inference(cnf_transformation,[],[f153]) ).
cnf(c_106,negated_conjecture,
~ ordinal(sK17),
inference(cnf_transformation,[],[f185]) ).
cnf(c_107,negated_conjecture,
in(sK17,sK18),
inference(cnf_transformation,[],[f184]) ).
cnf(c_108,negated_conjecture,
ordinal(sK18),
inference(cnf_transformation,[],[f183]) ).
cnf(c_109,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_111,plain,
( ~ in(X0,X1)
| ~ in(X1,X2)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_118,plain,
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f195]) ).
cnf(c_168,plain,
( ~ ordinal(X0)
| epsilon_connected(X0) ),
inference(prop_impl_just,[status(thm)],[c_68]) ).
cnf(c_170,plain,
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(prop_impl_just,[status(thm)],[c_69]) ).
cnf(c_174,plain,
( epsilon_connected(X0)
| ~ in(sK2(X0),sK1(X0)) ),
inference(prop_impl_just,[status(thm)],[c_58]) ).
cnf(c_175,plain,
( ~ in(sK2(X0),sK1(X0))
| epsilon_connected(X0) ),
inference(renaming,[status(thm)],[c_174]) ).
cnf(c_176,plain,
( epsilon_connected(X0)
| sK2(X0) != sK1(X0) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
cnf(c_177,plain,
( sK2(X0) != sK1(X0)
| epsilon_connected(X0) ),
inference(renaming,[status(thm)],[c_176]) ).
cnf(c_178,plain,
( epsilon_connected(X0)
| ~ in(sK1(X0),sK2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
cnf(c_179,plain,
( ~ in(sK1(X0),sK2(X0))
| epsilon_connected(X0) ),
inference(renaming,[status(thm)],[c_178]) ).
cnf(c_180,plain,
( epsilon_connected(X0)
| in(sK2(X0),X0) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
cnf(c_181,plain,
( in(sK2(X0),X0)
| epsilon_connected(X0) ),
inference(renaming,[status(thm)],[c_180]) ).
cnf(c_182,plain,
( epsilon_connected(X0)
| in(sK1(X0),X0) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
cnf(c_183,plain,
( in(sK1(X0),X0)
| epsilon_connected(X0) ),
inference(renaming,[status(thm)],[c_182]) ).
cnf(c_769,plain,
( X0 != sK17
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_106]) ).
cnf(c_770,plain,
( ~ epsilon_connected(sK17)
| ~ epsilon_transitive(sK17) ),
inference(unflattening,[status(thm)],[c_769]) ).
cnf(c_777,plain,
( X0 != sK18
| epsilon_transitive(X0) ),
inference(resolution_lifted,[status(thm)],[c_170,c_108]) ).
cnf(c_778,plain,
epsilon_transitive(sK18),
inference(unflattening,[status(thm)],[c_777]) ).
cnf(c_782,plain,
( X0 != sK18
| epsilon_connected(X0) ),
inference(resolution_lifted,[status(thm)],[c_168,c_108]) ).
cnf(c_783,plain,
epsilon_connected(sK18),
inference(unflattening,[status(thm)],[c_782]) ).
cnf(c_1083,plain,
( X0 != sK17
| ~ epsilon_transitive(sK17)
| in(sK1(X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_183,c_770]) ).
cnf(c_1084,plain,
( ~ epsilon_transitive(sK17)
| in(sK1(sK17),sK17) ),
inference(unflattening,[status(thm)],[c_1083]) ).
cnf(c_1091,plain,
( X0 != sK17
| ~ epsilon_transitive(sK17)
| in(sK2(X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_181,c_770]) ).
cnf(c_1092,plain,
( ~ epsilon_transitive(sK17)
| in(sK2(sK17),sK17) ),
inference(unflattening,[status(thm)],[c_1091]) ).
cnf(c_1099,plain,
( X0 != sK17
| ~ in(sK1(X0),sK2(X0))
| ~ epsilon_transitive(sK17) ),
inference(resolution_lifted,[status(thm)],[c_179,c_770]) ).
cnf(c_1100,plain,
( ~ in(sK1(sK17),sK2(sK17))
| ~ epsilon_transitive(sK17) ),
inference(unflattening,[status(thm)],[c_1099]) ).
cnf(c_1107,plain,
( sK2(X0) != sK1(X0)
| X0 != sK17
| ~ epsilon_transitive(sK17) ),
inference(resolution_lifted,[status(thm)],[c_177,c_770]) ).
cnf(c_1108,plain,
( sK2(sK17) != sK1(sK17)
| ~ epsilon_transitive(sK17) ),
inference(unflattening,[status(thm)],[c_1107]) ).
cnf(c_1115,plain,
( X0 != sK17
| ~ in(sK2(X0),sK1(X0))
| ~ epsilon_transitive(sK17) ),
inference(resolution_lifted,[status(thm)],[c_175,c_770]) ).
cnf(c_1116,plain,
( ~ in(sK2(sK17),sK1(sK17))
| ~ epsilon_transitive(sK17) ),
inference(unflattening,[status(thm)],[c_1115]) ).
cnf(c_2545,negated_conjecture,
in(sK17,sK18),
inference(demodulation,[status(thm)],[c_107]) ).
cnf(c_2546,plain,
X0 = X0,
theory(equality) ).
cnf(c_2549,plain,
( X0 != X1
| X2 != X3
| ~ in(X1,X3)
| in(X0,X2) ),
theory(equality) ).
cnf(c_3976,plain,
( ~ epsilon_transitive(sK18)
| subset(sK17,sK18) ),
inference(superposition,[status(thm)],[c_2545,c_57]) ).
cnf(c_3985,plain,
subset(sK17,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_3976,c_778]) ).
cnf(c_4622,plain,
( ~ in(X0,X1)
| ~ in(sK17,X1)
| ~ epsilon_connected(X1)
| X0 = sK17
| in(X0,sK17)
| in(sK17,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_4912,plain,
~ empty(sK18),
inference(superposition,[status(thm)],[c_2545,c_118]) ).
cnf(c_4918,plain,
( ~ subset(sK0(sK17),sK17)
| epsilon_transitive(sK17) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_4919,plain,
( in(sK0(sK17),sK17)
| epsilon_transitive(sK17) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_5836,plain,
( ~ in(sK0(sK17),sK17)
| ~ subset(sK17,X0)
| in(sK0(sK17),X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_5985,plain,
( in(sK3(sK0(sK17),sK17),sK0(sK17))
| subset(sK0(sK17),sK17) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_5986,plain,
( ~ in(sK3(sK0(sK17),sK17),sK17)
| subset(sK0(sK17),sK17) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_6707,plain,
( ~ in(X0,sK18)
| ~ in(sK17,sK18)
| ~ epsilon_connected(sK18)
| X0 = sK17
| in(X0,sK17)
| in(sK17,X0) ),
inference(instantiation,[status(thm)],[c_4622]) ).
cnf(c_7152,plain,
( ~ in(sK2(sK17),sK17)
| ~ subset(sK17,X0)
| in(sK2(sK17),X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_7202,plain,
( ~ in(sK1(sK17),sK17)
| ~ subset(sK17,X0)
| in(sK1(sK17),X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_7385,plain,
( ~ in(sK2(sK17),X0)
| ~ in(sK1(sK17),X0)
| ~ epsilon_connected(X0)
| sK2(sK17) = sK1(sK17)
| in(sK2(sK17),sK1(sK17))
| in(sK1(sK17),sK2(sK17)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_14037,plain,
( ~ in(sK3(sK0(sK17),sK17),sK0(sK17))
| ~ in(X0,sK3(sK0(sK17),sK17))
| ~ in(sK0(sK17),X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_14038,plain,
( ~ in(sK3(sK0(sK17),sK17),sK0(sK17))
| ~ subset(sK0(sK17),X0)
| in(sK3(sK0(sK17),sK17),X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_14042,plain,
( ~ in(sK3(sK0(sK17),sK17),sK0(sK17))
| ~ in(sK0(sK17),sK3(sK0(sK17),sK17)) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_15233,plain,
( ~ in(sK0(sK17),sK17)
| ~ subset(sK17,sK18)
| in(sK0(sK17),sK18) ),
inference(instantiation,[status(thm)],[c_5836]) ).
cnf(c_28701,plain,
( in(sK5(X0),X0)
| empty(X0) ),
inference(superposition,[status(thm)],[c_76,c_109]) ).
cnf(c_29605,plain,
( ~ in(X0,sK18)
| ~ epsilon_connected(sK18)
| X0 = sK17
| in(X0,sK17)
| in(sK17,X0) ),
inference(superposition,[status(thm)],[c_2545,c_63]) ).
cnf(c_29618,plain,
( ~ in(X0,sK18)
| X0 = sK17
| in(X0,sK17)
| in(sK17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29605,c_783]) ).
cnf(c_29875,plain,
( sK5(sK18) = sK17
| in(sK5(sK18),sK17)
| in(sK17,sK5(sK18))
| empty(sK18) ),
inference(superposition,[status(thm)],[c_28701,c_29618]) ).
cnf(c_29884,plain,
( sK5(sK18) = sK17
| in(sK5(sK18),sK17)
| in(sK17,sK5(sK18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29875,c_4912]) ).
cnf(c_30081,plain,
( ~ epsilon_transitive(sK17)
| sK5(sK18) = sK17
| in(sK17,sK5(sK18))
| subset(sK5(sK18),sK17) ),
inference(superposition,[status(thm)],[c_29884,c_57]) ).
cnf(c_33297,plain,
( ~ in(sK1(sK17),sK17)
| ~ subset(sK17,sK18)
| in(sK1(sK17),sK18) ),
inference(instantiation,[status(thm)],[c_7202]) ).
cnf(c_49020,plain,
( ~ in(sK2(sK17),sK18)
| ~ in(sK1(sK17),sK18)
| ~ epsilon_connected(sK18)
| sK2(sK17) = sK1(sK17)
| in(sK2(sK17),sK1(sK17))
| in(sK1(sK17),sK2(sK17)) ),
inference(instantiation,[status(thm)],[c_7385]) ).
cnf(c_58395,plain,
( ~ in(sK2(sK17),sK17)
| ~ subset(sK17,sK18)
| in(sK2(sK17),sK18) ),
inference(instantiation,[status(thm)],[c_7152]) ).
cnf(c_67509,plain,
sK0(sK17) = sK0(sK17),
inference(instantiation,[status(thm)],[c_2546]) ).
cnf(c_103041,plain,
~ epsilon_transitive(sK17),
inference(global_subsumption_just,[status(thm)],[c_30081,c_783,c_1084,c_1092,c_1100,c_1108,c_1116,c_3985,c_33297,c_49020,c_58395]) ).
cnf(c_110415,plain,
( ~ in(sK3(sK0(sK17),sK17),sK18)
| ~ in(sK17,sK18)
| ~ epsilon_connected(sK18)
| sK3(sK0(sK17),sK17) = sK17
| in(sK3(sK0(sK17),sK17),sK17)
| in(sK17,sK3(sK0(sK17),sK17)) ),
inference(instantiation,[status(thm)],[c_6707]) ).
cnf(c_116067,plain,
( ~ in(sK3(sK0(sK17),sK17),sK0(sK17))
| ~ subset(sK0(sK17),sK18)
| in(sK3(sK0(sK17),sK17),sK18) ),
inference(instantiation,[status(thm)],[c_14038]) ).
cnf(c_123156,plain,
( ~ in(sK3(sK0(sK17),sK17),sK0(sK17))
| ~ in(sK17,sK3(sK0(sK17),sK17))
| ~ in(sK0(sK17),sK17) ),
inference(instantiation,[status(thm)],[c_14037]) ).
cnf(c_139050,plain,
( X0 != sK0(sK17)
| X1 != sK17
| ~ in(sK0(sK17),sK17)
| in(X0,X1) ),
inference(instantiation,[status(thm)],[c_2549]) ).
cnf(c_141735,plain,
( ~ in(sK0(sK17),X0)
| ~ epsilon_transitive(X0)
| subset(sK0(sK17),X0) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_142698,plain,
( sK3(sK0(sK17),sK17) != sK17
| X0 != sK0(sK17)
| ~ in(sK0(sK17),sK17)
| in(X0,sK3(sK0(sK17),sK17)) ),
inference(instantiation,[status(thm)],[c_139050]) ).
cnf(c_158387,plain,
( ~ in(sK0(sK17),sK18)
| ~ epsilon_transitive(sK18)
| subset(sK0(sK17),sK18) ),
inference(instantiation,[status(thm)],[c_141735]) ).
cnf(c_161132,plain,
( sK3(sK0(sK17),sK17) != sK17
| sK0(sK17) != sK0(sK17)
| ~ in(sK0(sK17),sK17)
| in(sK0(sK17),sK3(sK0(sK17),sK17)) ),
inference(instantiation,[status(thm)],[c_142698]) ).
cnf(c_161133,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_161132,c_158387,c_123156,c_116067,c_110415,c_103041,c_67509,c_15233,c_14042,c_5985,c_5986,c_4918,c_4919,c_3985,c_783,c_778,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU232+3 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 2 17:32:06 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 52.11/8.19 % SZS status Started for theBenchmark.p
% 52.11/8.19 % SZS status Theorem for theBenchmark.p
% 52.11/8.19
% 52.11/8.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 52.11/8.19
% 52.11/8.19 ------ iProver source info
% 52.11/8.19
% 52.11/8.19 git: date: 2024-05-02 19:28:25 +0000
% 52.11/8.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 52.11/8.19 git: non_committed_changes: false
% 52.11/8.19
% 52.11/8.19 ------ Parsing...
% 52.11/8.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 52.11/8.19
% 52.11/8.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 20 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 52.11/8.19
% 52.11/8.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 52.11/8.19
% 52.11/8.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 52.11/8.19 ------ Proving...
% 52.11/8.19 ------ Problem Properties
% 52.11/8.19
% 52.11/8.19
% 52.11/8.19 clauses 49
% 52.11/8.19 conjectures 1
% 52.11/8.19 EPR 27
% 52.11/8.19 Horn 39
% 52.11/8.19 unary 17
% 52.11/8.19 binary 19
% 52.11/8.19 lits 98
% 52.11/8.19 lits eq 11
% 52.11/8.19 fd_pure 0
% 52.11/8.19 fd_pseudo 0
% 52.11/8.19 fd_cond 1
% 52.11/8.19 fd_pseudo_cond 5
% 52.11/8.19 AC symbols 0
% 52.11/8.19
% 52.11/8.19 ------ Schedule dynamic 5 is on
% 52.11/8.19
% 52.11/8.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 52.11/8.19
% 52.11/8.19
% 52.11/8.19 ------
% 52.11/8.19 Current options:
% 52.11/8.19 ------
% 52.11/8.19
% 52.11/8.19
% 52.11/8.19
% 52.11/8.19
% 52.11/8.19 ------ Proving...
% 52.11/8.19
% 52.11/8.19
% 52.11/8.19 % SZS status Theorem for theBenchmark.p
% 52.11/8.19
% 52.11/8.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 52.11/8.20
% 52.11/8.20
%------------------------------------------------------------------------------