TSTP Solution File: SEU375+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 1.93s 1.10s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 112 ( 34 unt; 0 def)
% Number of atoms : 557 ( 62 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 716 ( 271 ~; 227 |; 175 &)
% ( 2 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 216 ( 0 sgn; 98 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,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(f9,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f11,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(f13,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f23,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f34,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f35,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(f36,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,[],[f35]) ).
fof(f37,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f38,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(f55,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,[],[f7]) ).
fof(f56,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f65,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f66,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f68,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,[],[f36]) ).
fof(f69,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,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f71,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f72,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,[],[f38]) ).
fof(f73,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,[],[f72]) ).
fof(f77,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,[],[f55]) ).
fof(f78,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,[],[f77]) ).
fof(f109,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,sK15,X1)
& full_subnetstr(X2,sK15,X1)
& ~ empty_carrier(X2) )
& net_str(X1,sK15)
& ~ empty_carrier(X1) )
& one_sorted_str(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f110,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,sK15,X1)
& full_subnetstr(X2,sK15,X1)
& ~ empty_carrier(X2) )
& net_str(X1,sK15)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(sK16,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(sK16)) )
& element(X3,the_carrier(sK16)) )
& subnetstr(X2,sK15,sK16)
& full_subnetstr(X2,sK15,sK16)
& ~ empty_carrier(X2) )
& net_str(sK16,sK15)
& ~ empty_carrier(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X2,X5,X6)
& related(sK16,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(sK16)) )
& element(X3,the_carrier(sK16)) )
& subnetstr(X2,sK15,sK16)
& full_subnetstr(X2,sK15,sK16)
& ~ empty_carrier(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK17,X5,X6)
& related(sK16,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(sK17)) )
& element(X5,the_carrier(sK17)) )
& element(X4,the_carrier(sK16)) )
& element(X3,the_carrier(sK16)) )
& subnetstr(sK17,sK15,sK16)
& full_subnetstr(sK17,sK15,sK16)
& ~ empty_carrier(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK17,X5,X6)
& related(sK16,X3,X4)
& X4 = X6
& X3 = X5
& element(X6,the_carrier(sK17)) )
& element(X5,the_carrier(sK17)) )
& element(X4,the_carrier(sK16)) )
& element(X3,the_carrier(sK16)) )
=> ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK17,X5,X6)
& related(sK16,sK18,X4)
& X4 = X6
& sK18 = X5
& element(X6,the_carrier(sK17)) )
& element(X5,the_carrier(sK17)) )
& element(X4,the_carrier(sK16)) )
& element(sK18,the_carrier(sK16)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(sK17,X5,X6)
& related(sK16,sK18,X4)
& X4 = X6
& sK18 = X5
& element(X6,the_carrier(sK17)) )
& element(X5,the_carrier(sK17)) )
& element(X4,the_carrier(sK16)) )
=> ( ? [X5] :
( ? [X6] :
( ~ related(sK17,X5,X6)
& related(sK16,sK18,sK19)
& sK19 = X6
& sK18 = X5
& element(X6,the_carrier(sK17)) )
& element(X5,the_carrier(sK17)) )
& element(sK19,the_carrier(sK16)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X5] :
( ? [X6] :
( ~ related(sK17,X5,X6)
& related(sK16,sK18,sK19)
& sK19 = X6
& sK18 = X5
& element(X6,the_carrier(sK17)) )
& element(X5,the_carrier(sK17)) )
=> ( ? [X6] :
( ~ related(sK17,sK20,X6)
& related(sK16,sK18,sK19)
& sK19 = X6
& sK18 = sK20
& element(X6,the_carrier(sK17)) )
& element(sK20,the_carrier(sK17)) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X6] :
( ~ related(sK17,sK20,X6)
& related(sK16,sK18,sK19)
& sK19 = X6
& sK18 = sK20
& element(X6,the_carrier(sK17)) )
=> ( ~ related(sK17,sK20,sK21)
& related(sK16,sK18,sK19)
& sK19 = sK21
& sK18 = sK20
& element(sK21,the_carrier(sK17)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ~ related(sK17,sK20,sK21)
& related(sK16,sK18,sK19)
& sK19 = sK21
& sK18 = sK20
& element(sK21,the_carrier(sK17))
& element(sK20,the_carrier(sK17))
& element(sK19,the_carrier(sK16))
& element(sK18,the_carrier(sK16))
& subnetstr(sK17,sK15,sK16)
& full_subnetstr(sK17,sK15,sK16)
& ~ empty_carrier(sK17)
& net_str(sK16,sK15)
& ~ empty_carrier(sK16)
& one_sorted_str(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19,sK20,sK21])],[f69,f115,f114,f113,f112,f111,f110,f109]) ).
fof(f122,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,[],[f78]) ).
fof(f123,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,[],[f78]) ).
fof(f125,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f126,plain,
! [X0,X1] :
( rel_str(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f127,plain,
! [X0,X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f137,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f158,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f159,plain,
one_sorted_str(sK15),
inference(cnf_transformation,[],[f116]) ).
fof(f161,plain,
net_str(sK16,sK15),
inference(cnf_transformation,[],[f116]) ).
fof(f162,plain,
~ empty_carrier(sK17),
inference(cnf_transformation,[],[f116]) ).
fof(f163,plain,
full_subnetstr(sK17,sK15,sK16),
inference(cnf_transformation,[],[f116]) ).
fof(f164,plain,
subnetstr(sK17,sK15,sK16),
inference(cnf_transformation,[],[f116]) ).
fof(f165,plain,
element(sK18,the_carrier(sK16)),
inference(cnf_transformation,[],[f116]) ).
fof(f166,plain,
element(sK19,the_carrier(sK16)),
inference(cnf_transformation,[],[f116]) ).
fof(f167,plain,
element(sK20,the_carrier(sK17)),
inference(cnf_transformation,[],[f116]) ).
fof(f168,plain,
element(sK21,the_carrier(sK17)),
inference(cnf_transformation,[],[f116]) ).
fof(f169,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f116]) ).
fof(f170,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f116]) ).
fof(f171,plain,
related(sK16,sK18,sK19),
inference(cnf_transformation,[],[f116]) ).
fof(f172,plain,
~ related(sK17,sK20,sK21),
inference(cnf_transformation,[],[f116]) ).
fof(f173,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f174,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,[],[f73]) ).
fof(f178,plain,
related(sK16,sK20,sK21),
inference(definition_unfolding,[],[f171,f169,f170]) ).
fof(f179,plain,
element(sK21,the_carrier(sK16)),
inference(definition_unfolding,[],[f166,f170]) ).
fof(f180,plain,
element(sK20,the_carrier(sK16)),
inference(definition_unfolding,[],[f165,f169]) ).
fof(f181,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,[],[f174]) ).
fof(f182,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,[],[f181]) ).
cnf(c_53,plain,
( ~ full_subnetstr(X0,X1,X2)
| ~ subnetstr(X0,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| subrelstr(X0,X2) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_54,plain,
( ~ full_subnetstr(X0,X1,X2)
| ~ subnetstr(X0,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| full_subrelstr(X0,X2) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_55,plain,
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_56,plain,
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| rel_str(X0) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_57,plain,
( ~ subrelstr(X0,X1)
| ~ rel_str(X1)
| rel_str(X0) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_67,plain,
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_88,plain,
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_89,negated_conjecture,
~ related(sK17,sK20,sK21),
inference(cnf_transformation,[],[f172]) ).
cnf(c_90,negated_conjecture,
related(sK16,sK20,sK21),
inference(cnf_transformation,[],[f178]) ).
cnf(c_91,negated_conjecture,
element(sK21,the_carrier(sK17)),
inference(cnf_transformation,[],[f168]) ).
cnf(c_92,negated_conjecture,
element(sK20,the_carrier(sK17)),
inference(cnf_transformation,[],[f167]) ).
cnf(c_93,negated_conjecture,
element(sK21,the_carrier(sK16)),
inference(cnf_transformation,[],[f179]) ).
cnf(c_94,negated_conjecture,
element(sK20,the_carrier(sK16)),
inference(cnf_transformation,[],[f180]) ).
cnf(c_95,negated_conjecture,
subnetstr(sK17,sK15,sK16),
inference(cnf_transformation,[],[f164]) ).
cnf(c_96,negated_conjecture,
full_subnetstr(sK17,sK15,sK16),
inference(cnf_transformation,[],[f163]) ).
cnf(c_97,negated_conjecture,
~ empty_carrier(sK17),
inference(cnf_transformation,[],[f162]) ).
cnf(c_98,negated_conjecture,
net_str(sK16,sK15),
inference(cnf_transformation,[],[f161]) ).
cnf(c_100,negated_conjecture,
one_sorted_str(sK15),
inference(cnf_transformation,[],[f159]) ).
cnf(c_101,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_102,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,[],[f182]) ).
cnf(c_218,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_102,c_88]) ).
cnf(c_317,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_218,c_88]) ).
cnf(c_497,plain,
( X0 != sK17
| ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution_lifted,[status(thm)],[c_67,c_97]) ).
cnf(c_498,plain,
( ~ empty(the_carrier(sK17))
| ~ one_sorted_str(sK17) ),
inference(unflattening,[status(thm)],[c_497]) ).
cnf(c_605,plain,
( X0 != sK17
| X1 != sK15
| X2 != sK16
| ~ subnetstr(X0,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| full_subrelstr(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_54,c_96]) ).
cnf(c_606,plain,
( ~ subnetstr(sK17,sK15,sK16)
| ~ net_str(sK16,sK15)
| ~ one_sorted_str(sK15)
| full_subrelstr(sK17,sK16) ),
inference(unflattening,[status(thm)],[c_605]) ).
cnf(c_607,plain,
full_subrelstr(sK17,sK16),
inference(global_subsumption_just,[status(thm)],[c_606,c_100,c_98,c_95,c_606]) ).
cnf(c_612,plain,
( X0 != sK17
| X1 != sK15
| X2 != sK16
| ~ subnetstr(X0,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| subrelstr(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_53,c_96]) ).
cnf(c_613,plain,
( ~ subnetstr(sK17,sK15,sK16)
| ~ net_str(sK16,sK15)
| ~ one_sorted_str(sK15)
| subrelstr(sK17,sK16) ),
inference(unflattening,[status(thm)],[c_612]) ).
cnf(c_614,plain,
subrelstr(sK17,sK16),
inference(global_subsumption_just,[status(thm)],[c_613,c_100,c_98,c_95,c_613]) ).
cnf(c_621,plain,
( X0 != sK16
| X1 != sK17
| ~ 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_317,c_607]) ).
cnf(c_622,plain,
( ~ related(sK16,X0,X1)
| ~ in(X0,the_carrier(sK17))
| ~ in(X1,the_carrier(sK17))
| ~ element(X0,the_carrier(sK16))
| ~ element(X1,the_carrier(sK16))
| ~ subrelstr(sK17,sK16)
| ~ rel_str(sK16)
| related(sK17,X0,X1) ),
inference(unflattening,[status(thm)],[c_621]) ).
cnf(c_624,plain,
( ~ element(X1,the_carrier(sK16))
| ~ element(X0,the_carrier(sK16))
| ~ in(X1,the_carrier(sK17))
| ~ in(X0,the_carrier(sK17))
| ~ related(sK16,X0,X1)
| ~ rel_str(sK16)
| related(sK17,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_622,c_100,c_98,c_95,c_613,c_622]) ).
cnf(c_625,plain,
( ~ related(sK16,X0,X1)
| ~ in(X0,the_carrier(sK17))
| ~ in(X1,the_carrier(sK17))
| ~ element(X0,the_carrier(sK16))
| ~ element(X1,the_carrier(sK16))
| ~ rel_str(sK16)
| related(sK17,X0,X1) ),
inference(renaming,[status(thm)],[c_624]) ).
cnf(c_664,plain,
( X0 != sK17
| X1 != sK16
| ~ rel_str(X1)
| rel_str(X0) ),
inference(resolution_lifted,[status(thm)],[c_57,c_614]) ).
cnf(c_665,plain,
( ~ rel_str(sK16)
| rel_str(sK17) ),
inference(unflattening,[status(thm)],[c_664]) ).
cnf(c_776,plain,
( X0 != sK15
| ~ net_str(X1,X0)
| rel_str(X1) ),
inference(resolution_lifted,[status(thm)],[c_56,c_100]) ).
cnf(c_777,plain,
( ~ net_str(X0,sK15)
| rel_str(X0) ),
inference(unflattening,[status(thm)],[c_776]) ).
cnf(c_778,plain,
( ~ net_str(sK16,sK15)
| rel_str(sK16) ),
inference(instantiation,[status(thm)],[c_777]) ).
cnf(c_807,plain,
( X0 != sK17
| ~ empty(the_carrier(sK17))
| ~ rel_str(X0) ),
inference(resolution_lifted,[status(thm)],[c_55,c_498]) ).
cnf(c_808,plain,
( ~ empty(the_carrier(sK17))
| ~ rel_str(sK17) ),
inference(unflattening,[status(thm)],[c_807]) ).
cnf(c_809,plain,
~ empty(the_carrier(sK17)),
inference(global_subsumption_just,[status(thm)],[c_808,c_98,c_665,c_778,c_808]) ).
cnf(c_963,plain,
( ~ element(X1,the_carrier(sK16))
| ~ element(X0,the_carrier(sK16))
| ~ in(X1,the_carrier(sK17))
| ~ in(X0,the_carrier(sK17))
| ~ related(sK16,X0,X1)
| related(sK17,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_625,c_98,c_625,c_778]) ).
cnf(c_964,plain,
( ~ related(sK16,X0,X1)
| ~ in(X0,the_carrier(sK17))
| ~ in(X1,the_carrier(sK17))
| ~ element(X0,the_carrier(sK16))
| ~ element(X1,the_carrier(sK16))
| related(sK17,X0,X1) ),
inference(renaming,[status(thm)],[c_963]) ).
cnf(c_1515,plain,
( ~ in(sK20,the_carrier(sK17))
| ~ in(sK21,the_carrier(sK17))
| ~ element(sK20,the_carrier(sK16))
| ~ element(sK21,the_carrier(sK16))
| related(sK17,sK20,sK21) ),
inference(superposition,[status(thm)],[c_90,c_964]) ).
cnf(c_1516,plain,
( ~ in(sK20,the_carrier(sK17))
| ~ in(sK21,the_carrier(sK17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1515,c_89,c_93,c_94]) ).
cnf(c_1538,plain,
( in(sK21,the_carrier(sK17))
| empty(the_carrier(sK17)) ),
inference(superposition,[status(thm)],[c_91,c_101]) ).
cnf(c_1539,plain,
( in(sK20,the_carrier(sK17))
| empty(the_carrier(sK17)) ),
inference(superposition,[status(thm)],[c_92,c_101]) ).
cnf(c_1546,plain,
in(sK20,the_carrier(sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_1539,c_809]) ).
cnf(c_1547,plain,
in(sK21,the_carrier(sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_1538,c_809]) ).
cnf(c_1548,plain,
~ in(sK21,the_carrier(sK17)),
inference(backward_subsumption_resolution,[status(thm)],[c_1516,c_1546]) ).
cnf(c_1549,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1548,c_1547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU375+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 24 01:11:17 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.93/1.10 % SZS status Started for theBenchmark.p
% 1.93/1.10 % SZS status Theorem for theBenchmark.p
% 1.93/1.10
% 1.93/1.10 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.93/1.10
% 1.93/1.10 ------ iProver source info
% 1.93/1.10
% 1.93/1.10 git: date: 2023-05-31 18:12:56 +0000
% 1.93/1.10 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.93/1.10 git: non_committed_changes: false
% 1.93/1.10 git: last_make_outside_of_git: false
% 1.93/1.10
% 1.93/1.10 ------ Parsing...
% 1.93/1.10 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.93/1.10
% 1.93/1.10 ------ Preprocessing... sup_sim: 0 sf_s rm: 19 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 22 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe_e
% 1.93/1.10
% 1.93/1.10 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.93/1.10
% 1.93/1.10 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.93/1.10 ------ Proving...
% 1.93/1.10 ------ Problem Properties
% 1.93/1.10
% 1.93/1.10
% 1.93/1.10 clauses 21
% 1.93/1.10 conjectures 6
% 1.93/1.10 EPR 12
% 1.93/1.10 Horn 20
% 1.93/1.10 unary 14
% 1.93/1.10 binary 4
% 1.93/1.10 lits 34
% 1.93/1.10 lits eq 2
% 1.93/1.10 fd_pure 0
% 1.93/1.10 fd_pseudo 0
% 1.93/1.10 fd_cond 1
% 1.93/1.10 fd_pseudo_cond 1
% 1.93/1.10 AC symbols 0
% 1.93/1.10
% 1.93/1.10 ------ Schedule dynamic 5 is on
% 1.93/1.10
% 1.93/1.10 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.93/1.10
% 1.93/1.10
% 1.93/1.10 ------
% 1.93/1.10 Current options:
% 1.93/1.10 ------
% 1.93/1.10
% 1.93/1.10
% 1.93/1.10
% 1.93/1.10
% 1.93/1.10 ------ Proving...
% 1.93/1.10
% 1.93/1.10
% 1.93/1.10 % SZS status Theorem for theBenchmark.p
% 1.93/1.10
% 1.93/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.93/1.10
% 1.93/1.10
%------------------------------------------------------------------------------