TSTP Solution File: SEU375+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU375+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 : Thu Aug 31 17:06:42 EDT 2023
% Result : Theorem 155.00s 21.33s
% Output : CNFRefutation 155.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 116 ( 33 unt; 0 def)
% Number of atoms : 593 ( 66 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 763 ( 286 ~; 247 |; 182 &)
% ( 4 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 240 ( 0 sgn; 119 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( net_str(X2,X0)
=> ( subnetstr(X2,X0,X1)
<=> ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_yellow_6) ).
fof(f187,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ( full_subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_6) ).
fof(f269,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f272,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f279,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& one_sorted_str(X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f319,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f601,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f614,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( related(X1,X3,X4)
& X4 = X6
& X3 = X5 )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_yellow_6) ).
fof(f615,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( ( subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( related(X1,X3,X4)
& X4 = X6
& X3 = X5 )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f614]) ).
fof(f644,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f729,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ( subrelstr(X1,X0)
& full_subrelstr(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( in(X5,the_carrier(X1))
& in(X4,the_carrier(X1))
& related(X0,X2,X3)
& X3 = X5
& X2 = X4 )
=> related(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_yellow_0) ).
fof(f1069,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subnetstr(X2,X0,X1)
<=> ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) ) )
| ~ net_str(X2,X0) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f181]) ).
fof(f1078,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( full_subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) ) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f187]) ).
fof(f1155,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f269]) ).
fof(f1157,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f272]) ).
fof(f1163,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f279]) ).
fof(f1164,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f1163]) ).
fof(f1197,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f319]) ).
fof(f1198,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1197]) ).
fof(f1528,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f601]) ).
fof(f1546,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(X1,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f615]) ).
fof(f1547,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(X1,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0) ),
inference(flattening,[],[f1546]) ).
fof(f1593,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f644]) ).
fof(f1594,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f1593]) ).
fof(f1701,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X3)
| X3 != X5
| X2 != X4
| ~ element(X5,the_carrier(X1)) )
| ~ element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f729]) ).
fof(f1702,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X3)
| X3 != X5
| X2 != X4
| ~ element(X5,the_carrier(X1)) )
| ~ element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(flattening,[],[f1701]) ).
fof(f2231,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( subnetstr(X2,X0,X1)
| the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
| ~ subrelstr(X2,X1) )
& ( ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) )
| ~ subnetstr(X2,X0,X1) ) )
| ~ net_str(X2,X0) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f1069]) ).
fof(f2232,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( subnetstr(X2,X0,X1)
| the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
| ~ subrelstr(X2,X1) )
& ( ( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
& subrelstr(X2,X1) )
| ~ subnetstr(X2,X0,X1) ) )
| ~ net_str(X2,X0) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f2231]) ).
fof(f2244,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( full_subnetstr(X2,X0,X1)
| ~ subrelstr(X2,X1)
| ~ full_subrelstr(X2,X1) )
& ( ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) )
| ~ full_subnetstr(X2,X0,X1) ) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f1078]) ).
fof(f2245,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( full_subnetstr(X2,X0,X1)
| ~ subrelstr(X2,X1)
| ~ full_subrelstr(X2,X1) )
& ( ( subrelstr(X2,X1)
& full_subrelstr(X2,X1) )
| ~ full_subnetstr(X2,X0,X1) ) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f2244]) ).
fof(f2914,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(X1,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,X0,X1)
& full_subnetstr(X2,X0,X1)
& ~ empty_carrier(X2) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(X1,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,sK543,X1)
& full_subnetstr(X2,sK543,X1)
& ~ empty_carrier(X2) )
& net_str(X1,sK543)
& ~ empty_carrier(X1) )
& one_sorted_str(sK543) ) ),
introduced(choice_axiom,[]) ).
fof(f2915,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(X1,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,sK543,X1)
& full_subnetstr(X2,sK543,X1)
& ~ empty_carrier(X2) )
& net_str(X1,sK543)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(sK544,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(sK544)) )
& element(X3,the_carrier(sK544)) )
& subnetstr(X2,sK543,sK544)
& full_subnetstr(X2,sK543,sK544)
& ~ empty_carrier(X2) )
& net_str(sK544,sK543)
& ~ empty_carrier(sK544) ) ),
introduced(choice_axiom,[]) ).
fof(f2916,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(sK544,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(sK544)) )
& element(X3,the_carrier(sK544)) )
& subnetstr(X2,sK543,sK544)
& full_subnetstr(X2,sK543,sK544)
& ~ empty_carrier(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK545,X5,X6)
& related(sK544,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(sK545)) )
& element(X5,the_carrier(sK545)) )
& element(X4,the_carrier(sK544)) )
& element(X3,the_carrier(sK544)) )
& subnetstr(sK545,sK543,sK544)
& full_subnetstr(sK545,sK543,sK544)
& ~ empty_carrier(sK545) ) ),
introduced(choice_axiom,[]) ).
fof(f2917,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK545,X5,X6)
& related(sK544,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(sK545)) )
& element(X5,the_carrier(sK545)) )
& element(X4,the_carrier(sK544)) )
& element(X3,the_carrier(sK544)) )
=> ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK545,X5,X6)
& related(sK544,sK546,X4)
& X4 = X6
& sK546 = X5
& element(X6,the_carrier(sK545)) )
& element(X5,the_carrier(sK545)) )
& element(X4,the_carrier(sK544)) )
& element(sK546,the_carrier(sK544)) ) ),
introduced(choice_axiom,[]) ).
fof(f2918,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK545,X5,X6)
& related(sK544,sK546,X4)
& X4 = X6
& sK546 = X5
& element(X6,the_carrier(sK545)) )
& element(X5,the_carrier(sK545)) )
& element(X4,the_carrier(sK544)) )
=> ( ? [X5] :
( ? [X6] :
( ~ related(sK545,X5,X6)
& related(sK544,sK546,sK547)
& sK547 = X6
& sK546 = X5
& element(X6,the_carrier(sK545)) )
& element(X5,the_carrier(sK545)) )
& element(sK547,the_carrier(sK544)) ) ),
introduced(choice_axiom,[]) ).
fof(f2919,plain,
( ? [X5] :
( ? [X6] :
( ~ related(sK545,X5,X6)
& related(sK544,sK546,sK547)
& sK547 = X6
& sK546 = X5
& element(X6,the_carrier(sK545)) )
& element(X5,the_carrier(sK545)) )
=> ( ? [X6] :
( ~ related(sK545,sK548,X6)
& related(sK544,sK546,sK547)
& sK547 = X6
& sK546 = sK548
& element(X6,the_carrier(sK545)) )
& element(sK548,the_carrier(sK545)) ) ),
introduced(choice_axiom,[]) ).
fof(f2920,plain,
( ? [X6] :
( ~ related(sK545,sK548,X6)
& related(sK544,sK546,sK547)
& sK547 = X6
& sK546 = sK548
& element(X6,the_carrier(sK545)) )
=> ( ~ related(sK545,sK548,sK549)
& related(sK544,sK546,sK547)
& sK547 = sK549
& sK546 = sK548
& element(sK549,the_carrier(sK545)) ) ),
introduced(choice_axiom,[]) ).
fof(f2921,plain,
( ~ related(sK545,sK548,sK549)
& related(sK544,sK546,sK547)
& sK547 = sK549
& sK546 = sK548
& element(sK549,the_carrier(sK545))
& element(sK548,the_carrier(sK545))
& element(sK547,the_carrier(sK544))
& element(sK546,the_carrier(sK544))
& subnetstr(sK545,sK543,sK544)
& full_subnetstr(sK545,sK543,sK544)
& ~ empty_carrier(sK545)
& net_str(sK544,sK543)
& ~ empty_carrier(sK544)
& one_sorted_str(sK543) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK543,sK544,sK545,sK546,sK547,sK548,sK549])],[f1547,f2920,f2919,f2918,f2917,f2916,f2915,f2914]) ).
fof(f3663,plain,
! [X2,X0,X1] :
( subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X2,X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f2232]) ).
fof(f3680,plain,
! [X2,X0,X1] :
( full_subrelstr(X2,X1)
| ~ full_subnetstr(X2,X0,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f2245]) ).
fof(f3681,plain,
! [X2,X0,X1] :
( subrelstr(X2,X1)
| ~ full_subnetstr(X2,X0,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f2245]) ).
fof(f3762,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1155]) ).
fof(f3764,plain,
! [X0,X1] :
( rel_str(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1157]) ).
fof(f3770,plain,
! [X2,X0,X1] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1164]) ).
fof(f3850,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1198]) ).
fof(f5028,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f1528]) ).
fof(f5055,plain,
one_sorted_str(sK543),
inference(cnf_transformation,[],[f2921]) ).
fof(f5057,plain,
net_str(sK544,sK543),
inference(cnf_transformation,[],[f2921]) ).
fof(f5058,plain,
~ empty_carrier(sK545),
inference(cnf_transformation,[],[f2921]) ).
fof(f5059,plain,
full_subnetstr(sK545,sK543,sK544),
inference(cnf_transformation,[],[f2921]) ).
fof(f5060,plain,
subnetstr(sK545,sK543,sK544),
inference(cnf_transformation,[],[f2921]) ).
fof(f5061,plain,
element(sK546,the_carrier(sK544)),
inference(cnf_transformation,[],[f2921]) ).
fof(f5062,plain,
element(sK547,the_carrier(sK544)),
inference(cnf_transformation,[],[f2921]) ).
fof(f5063,plain,
element(sK548,the_carrier(sK545)),
inference(cnf_transformation,[],[f2921]) ).
fof(f5064,plain,
element(sK549,the_carrier(sK545)),
inference(cnf_transformation,[],[f2921]) ).
fof(f5065,plain,
sK546 = sK548,
inference(cnf_transformation,[],[f2921]) ).
fof(f5066,plain,
sK547 = sK549,
inference(cnf_transformation,[],[f2921]) ).
fof(f5067,plain,
related(sK544,sK546,sK547),
inference(cnf_transformation,[],[f2921]) ).
fof(f5068,plain,
~ related(sK545,sK548,sK549),
inference(cnf_transformation,[],[f2921]) ).
fof(f5116,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f1594]) ).
fof(f5284,plain,
! [X2,X3,X0,X1,X4,X5] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X3)
| X3 != X5
| X2 != X4
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1702]) ).
fof(f6021,plain,
related(sK544,sK548,sK549),
inference(definition_unfolding,[],[f5067,f5065,f5066]) ).
fof(f6022,plain,
element(sK549,the_carrier(sK544)),
inference(definition_unfolding,[],[f5062,f5066]) ).
fof(f6023,plain,
element(sK548,the_carrier(sK544)),
inference(definition_unfolding,[],[f5061,f5065]) ).
fof(f6401,plain,
! [X2,X0,X1,X4,X5] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X2,X5)
| X2 != X4
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f5284]) ).
fof(f6402,plain,
! [X0,X1,X4,X5] :
( related(X1,X4,X5)
| ~ in(X5,the_carrier(X1))
| ~ in(X4,the_carrier(X1))
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ full_subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f6401]) ).
cnf(c_651,plain,
( ~ subnetstr(X0,X1,X2)
| ~ net_str(X0,X1)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| subrelstr(X0,X2) ),
inference(cnf_transformation,[],[f3663]) ).
cnf(c_667,plain,
( ~ subnetstr(X0,X1,X2)
| ~ full_subnetstr(X0,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| subrelstr(X0,X2) ),
inference(cnf_transformation,[],[f3681]) ).
cnf(c_668,plain,
( ~ subnetstr(X0,X1,X2)
| ~ full_subnetstr(X0,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| full_subrelstr(X0,X2) ),
inference(cnf_transformation,[],[f3680]) ).
cnf(c_748,plain,
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f3762]) ).
cnf(c_750,plain,
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| rel_str(X0) ),
inference(cnf_transformation,[],[f3764]) ).
cnf(c_756,plain,
( ~ subnetstr(X0,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| net_str(X0,X1) ),
inference(cnf_transformation,[],[f3770]) ).
cnf(c_836,plain,
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f3850]) ).
cnf(c_2011,plain,
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f5028]) ).
cnf(c_2037,negated_conjecture,
~ related(sK545,sK548,sK549),
inference(cnf_transformation,[],[f5068]) ).
cnf(c_2038,negated_conjecture,
related(sK544,sK548,sK549),
inference(cnf_transformation,[],[f6021]) ).
cnf(c_2039,negated_conjecture,
element(sK549,the_carrier(sK545)),
inference(cnf_transformation,[],[f5064]) ).
cnf(c_2040,negated_conjecture,
element(sK548,the_carrier(sK545)),
inference(cnf_transformation,[],[f5063]) ).
cnf(c_2041,negated_conjecture,
element(sK549,the_carrier(sK544)),
inference(cnf_transformation,[],[f6022]) ).
cnf(c_2042,negated_conjecture,
element(sK548,the_carrier(sK544)),
inference(cnf_transformation,[],[f6023]) ).
cnf(c_2043,negated_conjecture,
subnetstr(sK545,sK543,sK544),
inference(cnf_transformation,[],[f5060]) ).
cnf(c_2044,negated_conjecture,
full_subnetstr(sK545,sK543,sK544),
inference(cnf_transformation,[],[f5059]) ).
cnf(c_2045,negated_conjecture,
~ empty_carrier(sK545),
inference(cnf_transformation,[],[f5058]) ).
cnf(c_2046,negated_conjecture,
net_str(sK544,sK543),
inference(cnf_transformation,[],[f5057]) ).
cnf(c_2048,negated_conjecture,
one_sorted_str(sK543),
inference(cnf_transformation,[],[f5055]) ).
cnf(c_2096,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f5116]) ).
cnf(c_2260,plain,
( ~ related(X0,X1,X2)
| ~ in(X1,the_carrier(X3))
| ~ in(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X0))
| ~ element(X1,the_carrier(X3))
| ~ element(X2,the_carrier(X0))
| ~ element(X2,the_carrier(X3))
| ~ subrelstr(X3,X0)
| ~ full_subrelstr(X3,X0)
| ~ rel_str(X0)
| related(X3,X1,X2) ),
inference(cnf_transformation,[],[f6402]) ).
cnf(c_3953,plain,
( ~ subnetstr(X0,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| subrelstr(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_651,c_756,c_651]) ).
cnf(c_3959,plain,
( ~ subnetstr(X0,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| subrelstr(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_667,c_3953]) ).
cnf(c_4130,plain,
( ~ in(X0,X1)
| element(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2011]) ).
cnf(c_10257,plain,
( ~ related(X0,X1,X2)
| ~ in(X1,the_carrier(X3))
| ~ in(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X2,the_carrier(X3))
| ~ subrelstr(X3,X0)
| ~ full_subrelstr(X3,X0)
| ~ rel_str(X0)
| related(X3,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2260,c_4130]) ).
cnf(c_22479,plain,
( ~ related(X0,X1,X2)
| ~ in(X1,the_carrier(X3))
| ~ in(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ subrelstr(X3,X0)
| ~ full_subrelstr(X3,X0)
| ~ rel_str(X0)
| related(X3,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10257,c_4130]) ).
cnf(c_36023,plain,
( X0 != sK545
| X1 != sK543
| X2 != sK544
| ~ subnetstr(X0,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| full_subrelstr(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_668,c_2044]) ).
cnf(c_36024,plain,
( ~ subnetstr(sK545,sK543,sK544)
| ~ net_str(sK544,sK543)
| ~ one_sorted_str(sK543)
| full_subrelstr(sK545,sK544) ),
inference(unflattening,[status(thm)],[c_36023]) ).
cnf(c_36025,plain,
full_subrelstr(sK545,sK544),
inference(global_subsumption_just,[status(thm)],[c_36024,c_2048,c_2046,c_2043,c_36024]) ).
cnf(c_37291,plain,
( X0 != sK544
| X1 != sK545
| ~ related(X0,X2,X3)
| ~ in(X2,the_carrier(X1))
| ~ in(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X0)
| related(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_22479,c_36025]) ).
cnf(c_37292,plain,
( ~ related(sK544,X0,X1)
| ~ in(X0,the_carrier(sK545))
| ~ in(X1,the_carrier(sK545))
| ~ element(X0,the_carrier(sK544))
| ~ element(X1,the_carrier(sK544))
| ~ subrelstr(sK545,sK544)
| ~ rel_str(sK544)
| related(sK545,X0,X1) ),
inference(unflattening,[status(thm)],[c_37291]) ).
cnf(c_41528,plain,
( X0 != sK545
| X1 != sK543
| X2 != sK544
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| subrelstr(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_3959,c_2043]) ).
cnf(c_41529,plain,
( ~ net_str(sK544,sK543)
| ~ one_sorted_str(sK543)
| subrelstr(sK545,sK544) ),
inference(unflattening,[status(thm)],[c_41528]) ).
cnf(c_41530,plain,
subrelstr(sK545,sK544),
inference(global_subsumption_just,[status(thm)],[c_41529,c_2048,c_2046,c_41529]) ).
cnf(c_41542,plain,
( X0 != sK545
| X1 != sK543
| X2 != sK544
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| net_str(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_756,c_2043]) ).
cnf(c_41543,plain,
( ~ net_str(sK544,sK543)
| ~ one_sorted_str(sK543)
| net_str(sK545,sK543) ),
inference(unflattening,[status(thm)],[c_41542]) ).
cnf(c_41621,plain,
( ~ related(sK544,X0,X1)
| ~ in(X0,the_carrier(sK545))
| ~ in(X1,the_carrier(sK545))
| ~ element(X0,the_carrier(sK544))
| ~ element(X1,the_carrier(sK544))
| ~ rel_str(sK544)
| related(sK545,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_37292,c_41530]) ).
cnf(c_307702,plain,
( ~ in(sK548,the_carrier(sK545))
| ~ in(sK549,the_carrier(sK545))
| ~ element(sK548,the_carrier(sK544))
| ~ element(sK549,the_carrier(sK544))
| ~ rel_str(sK544)
| related(sK545,sK548,sK549) ),
inference(superposition,[status(thm)],[c_2038,c_41621]) ).
cnf(c_307703,plain,
( ~ in(sK548,the_carrier(sK545))
| ~ in(sK549,the_carrier(sK545))
| ~ rel_str(sK544) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307702,c_2037,c_2041,c_2042]) ).
cnf(c_314761,plain,
( ~ one_sorted_str(sK543)
| rel_str(sK544) ),
inference(superposition,[status(thm)],[c_2046,c_750]) ).
cnf(c_314762,plain,
rel_str(sK544),
inference(forward_subsumption_resolution,[status(thm)],[c_314761,c_2048]) ).
cnf(c_317669,plain,
( in(sK549,the_carrier(sK545))
| empty(the_carrier(sK545)) ),
inference(superposition,[status(thm)],[c_2039,c_2096]) ).
cnf(c_317670,plain,
( in(sK548,the_carrier(sK545))
| empty(the_carrier(sK545)) ),
inference(superposition,[status(thm)],[c_2040,c_2096]) ).
cnf(c_317850,plain,
( ~ net_str(X0,sK543)
| ~ one_sorted_str(sK543)
| rel_str(X0) ),
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_317896,plain,
empty(the_carrier(sK545)),
inference(global_subsumption_just,[status(thm)],[c_317669,c_307703,c_314762,c_317670,c_317669]) ).
cnf(c_317913,plain,
( ~ one_sorted_str(sK545)
| empty_carrier(sK545) ),
inference(superposition,[status(thm)],[c_317896,c_836]) ).
cnf(c_317914,plain,
~ one_sorted_str(sK545),
inference(forward_subsumption_resolution,[status(thm)],[c_317913,c_2045]) ).
cnf(c_349342,plain,
( ~ net_str(sK545,sK543)
| ~ one_sorted_str(sK543)
| rel_str(sK545) ),
inference(instantiation,[status(thm)],[c_317850]) ).
cnf(c_382931,plain,
( ~ rel_str(sK545)
| one_sorted_str(sK545) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_382932,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_382931,c_349342,c_317914,c_41543,c_2046,c_2048]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU375+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 17:37:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 155.00/21.33 % SZS status Started for theBenchmark.p
% 155.00/21.33 % SZS status Theorem for theBenchmark.p
% 155.00/21.33
% 155.00/21.33 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 155.00/21.33
% 155.00/21.33 ------ iProver source info
% 155.00/21.33
% 155.00/21.33 git: date: 2023-05-31 18:12:56 +0000
% 155.00/21.33 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 155.00/21.33 git: non_committed_changes: false
% 155.00/21.33 git: last_make_outside_of_git: false
% 155.00/21.33
% 155.00/21.33 ------ Parsing...
% 155.00/21.33 ------ Clausification by vclausify_rel & Parsing by iProver...
% 155.00/21.33
% 155.00/21.33 ------ Preprocessing... sup_sim: 109 sf_s rm: 97 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 16 sf_s rm: 37 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 37 0s sf_e pe_s pe_e
% 155.00/21.33
% 155.00/21.33 ------ Preprocessing... gs_s sp: 18 0s gs_e snvd_s sp: 0 0s snvd_e
% 155.00/21.33
% 155.00/21.33 ------ Preprocessing... sf_s rm: 5 0s sf_e sf_s rm: 0 0s sf_e
% 155.00/21.33 ------ Proving...
% 155.00/21.33 ------ Problem Properties
% 155.00/21.33
% 155.00/21.33
% 155.00/21.33 clauses 1890
% 155.00/21.33 conjectures 11
% 155.00/21.33 EPR 309
% 155.00/21.33 Horn 1311
% 155.00/21.33 unary 309
% 155.00/21.33 binary 439
% 155.00/21.33 lits 6230
% 155.00/21.33 lits eq 701
% 155.00/21.33 fd_pure 0
% 155.00/21.33 fd_pseudo 0
% 155.00/21.33 fd_cond 51
% 155.00/21.33 fd_pseudo_cond 153
% 155.00/21.33 AC symbols 0
% 155.00/21.33
% 155.00/21.33 ------ Schedule dynamic 5 is on
% 155.00/21.33
% 155.00/21.33 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 155.00/21.33
% 155.00/21.33
% 155.00/21.33 ------
% 155.00/21.33 Current options:
% 155.00/21.33 ------
% 155.00/21.33
% 155.00/21.33
% 155.00/21.33
% 155.00/21.33
% 155.00/21.33 ------ Proving...
% 155.00/21.33
% 155.00/21.33
% 155.00/21.33 % SZS status Theorem for theBenchmark.p
% 155.00/21.33
% 155.00/21.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 155.00/21.33
% 155.00/21.34
%------------------------------------------------------------------------------