TSTP Solution File: SEU311+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU311+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 17:05:42 EDT 2023
% Result : Theorem 46.76s 7.23s
% Output : CNFRefutation 46.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 107 ( 11 unt; 0 def)
% Number of atoms : 424 ( 20 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 528 ( 211 ~; 214 |; 78 &)
% ( 10 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 204 ( 0 sgn; 102 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,axiom,
! [X0,X1] :
( powerset(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f79,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f160,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f320,axiom,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(f330,conjecture,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
( ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(X3,X2)
<=> in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
& element(X2,powerset(powerset(the_carrier(X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_subset_1__e2_37_1_1__pre_topc) ).
fof(f331,negated_conjecture,
~ ! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
( ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(X3,X2)
<=> in(set_difference(cast_as_carrier_subset(X0),X3),X1) ) )
& element(X2,powerset(powerset(the_carrier(X0)))) ) ),
inference(negated_conjecture,[],[f330]) ).
fof(f344,axiom,
! [X0] :
( one_sorted_str(X0)
=> the_carrier(X0) = cast_as_carrier_subset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f431,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f633,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f693,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f160]) ).
fof(f838,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f320]) ).
fof(f839,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f838]) ).
fof(f854,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( in(X3,X2)
<~> in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(ennf_transformation,[],[f331]) ).
fof(f855,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( in(X3,X2)
<~> in(set_difference(cast_as_carrier_subset(X0),X3),X1) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f854]) ).
fof(f867,plain,
! [X0] :
( the_carrier(X0) = cast_as_carrier_subset(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f344]) ).
fof(f1215,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f1216,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f1215]) ).
fof(f1217,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ subset(sK73(X0,X1),X0)
| ~ in(sK73(X0,X1),X1) )
& ( subset(sK73(X0,X1),X0)
| in(sK73(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1218,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ( ( ~ subset(sK73(X0,X1),X0)
| ~ in(sK73(X0,X1),X1) )
& ( subset(sK73(X0,X1),X0)
| in(sK73(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73])],[f1216,f1217]) ).
fof(f1262,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,[],[f633]) ).
fof(f1263,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,[],[f1262]) ).
fof(f1264,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK92(X0,X1),X1)
& in(sK92(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f1265,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK92(X0,X1),X1)
& in(sK92(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK92])],[f1263,f1264]) ).
fof(f1696,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(nnf_transformation,[],[f839]) ).
fof(f1697,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f1696]) ).
fof(f1698,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
=> ! [X3] :
( ( in(X3,sK307(X0,X1))
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,sK307(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1699,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK307(X0,X1))
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,sK307(X0,X1)) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK307])],[f1697,f1698]) ).
fof(f1762,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(nnf_transformation,[],[f855]) ).
fof(f1763,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f1762]) ).
fof(f1764,plain,
( ? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK337),X3),sK338)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(sK337),X3),sK338)
| in(X3,X2) )
& element(X3,powerset(the_carrier(sK337))) )
| ~ element(X2,powerset(powerset(the_carrier(sK337)))) )
& element(sK338,powerset(powerset(the_carrier(sK337))))
& top_str(sK337)
& topological_space(sK337) ) ),
introduced(choice_axiom,[]) ).
fof(f1765,plain,
! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK337),X3),sK338)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(sK337),X3),sK338)
| in(X3,X2) )
& element(X3,powerset(the_carrier(sK337))) )
=> ( ( ~ in(set_difference(cast_as_carrier_subset(sK337),sK339(X2)),sK338)
| ~ in(sK339(X2),X2) )
& ( in(set_difference(cast_as_carrier_subset(sK337),sK339(X2)),sK338)
| in(sK339(X2),X2) )
& element(sK339(X2),powerset(the_carrier(sK337))) ) ),
introduced(choice_axiom,[]) ).
fof(f1766,plain,
( ! [X2] :
( ( ( ~ in(set_difference(cast_as_carrier_subset(sK337),sK339(X2)),sK338)
| ~ in(sK339(X2),X2) )
& ( in(set_difference(cast_as_carrier_subset(sK337),sK339(X2)),sK338)
| in(sK339(X2),X2) )
& element(sK339(X2),powerset(the_carrier(sK337))) )
| ~ element(X2,powerset(powerset(the_carrier(sK337)))) )
& element(sK338,powerset(powerset(the_carrier(sK337))))
& top_str(sK337)
& topological_space(sK337) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK337,sK338,sK339])],[f1763,f1765,f1764]) ).
fof(f1821,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f431]) ).
fof(f2043,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f1218]) ).
fof(f2099,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK92(X0,X1),X0) ),
inference(cnf_transformation,[],[f1265]) ).
fof(f2100,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK92(X0,X1),X1) ),
inference(cnf_transformation,[],[f1265]) ).
fof(f2264,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f693]) ).
fof(f2815,plain,
! [X3,X0,X1] :
( in(X3,powerset(the_carrier(X0)))
| ~ in(X3,sK307(X0,X1))
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f2816,plain,
! [X3,X0,X1] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,sK307(X0,X1))
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f2817,plain,
! [X3,X0,X1] :
( in(X3,sK307(X0,X1))
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0)))
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f2882,plain,
topological_space(sK337),
inference(cnf_transformation,[],[f1766]) ).
fof(f2883,plain,
top_str(sK337),
inference(cnf_transformation,[],[f1766]) ).
fof(f2884,plain,
element(sK338,powerset(powerset(the_carrier(sK337)))),
inference(cnf_transformation,[],[f1766]) ).
fof(f2885,plain,
! [X2] :
( element(sK339(X2),powerset(the_carrier(sK337)))
| ~ element(X2,powerset(powerset(the_carrier(sK337)))) ),
inference(cnf_transformation,[],[f1766]) ).
fof(f2886,plain,
! [X2] :
( in(set_difference(cast_as_carrier_subset(sK337),sK339(X2)),sK338)
| in(sK339(X2),X2)
| ~ element(X2,powerset(powerset(the_carrier(sK337)))) ),
inference(cnf_transformation,[],[f1766]) ).
fof(f2887,plain,
! [X2] :
( ~ in(set_difference(cast_as_carrier_subset(sK337),sK339(X2)),sK338)
| ~ in(sK339(X2),X2)
| ~ element(X2,powerset(powerset(the_carrier(sK337)))) ),
inference(cnf_transformation,[],[f1766]) ).
fof(f2905,plain,
! [X0] :
( the_carrier(X0) = cast_as_carrier_subset(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f867]) ).
fof(f3039,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f1821]) ).
fof(f3040,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f1821]) ).
fof(f3581,plain,
! [X3,X0] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f2043]) ).
cnf(c_223,plain,
( ~ subset(X0,X1)
| in(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f3581]) ).
cnf(c_277,plain,
( ~ in(sK92(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f2100]) ).
cnf(c_278,plain,
( in(sK92(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f2099]) ).
cnf(c_442,plain,
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f2264]) ).
cnf(c_993,plain,
( ~ in(set_difference(cast_as_carrier_subset(X0),X1),X2)
| ~ element(X2,powerset(powerset(the_carrier(X0))))
| ~ in(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| in(X1,sK307(X0,X2)) ),
inference(cnf_transformation,[],[f2817]) ).
cnf(c_994,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ in(X2,sK307(X1,X0))
| ~ top_str(X1)
| ~ topological_space(X1)
| in(set_difference(cast_as_carrier_subset(X1),X2),X0) ),
inference(cnf_transformation,[],[f2816]) ).
cnf(c_995,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ in(X2,sK307(X1,X0))
| ~ top_str(X1)
| ~ topological_space(X1)
| in(X2,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f2815]) ).
cnf(c_1060,negated_conjecture,
( ~ in(set_difference(cast_as_carrier_subset(sK337),sK339(X0)),sK338)
| ~ element(X0,powerset(powerset(the_carrier(sK337))))
| ~ in(sK339(X0),X0) ),
inference(cnf_transformation,[],[f2887]) ).
cnf(c_1061,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sK337))))
| in(set_difference(cast_as_carrier_subset(sK337),sK339(X0)),sK338)
| in(sK339(X0),X0) ),
inference(cnf_transformation,[],[f2886]) ).
cnf(c_1062,negated_conjecture,
( ~ element(X0,powerset(powerset(the_carrier(sK337))))
| element(sK339(X0),powerset(the_carrier(sK337))) ),
inference(cnf_transformation,[],[f2885]) ).
cnf(c_1063,negated_conjecture,
element(sK338,powerset(powerset(the_carrier(sK337)))),
inference(cnf_transformation,[],[f2884]) ).
cnf(c_1064,negated_conjecture,
top_str(sK337),
inference(cnf_transformation,[],[f2883]) ).
cnf(c_1065,negated_conjecture,
topological_space(sK337),
inference(cnf_transformation,[],[f2882]) ).
cnf(c_1083,plain,
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(cnf_transformation,[],[f2905]) ).
cnf(c_1217,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f3040]) ).
cnf(c_1218,plain,
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f3039]) ).
cnf(c_2757,plain,
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(prop_impl_just,[status(thm)],[c_1083]) ).
cnf(c_2765,plain,
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(prop_impl_just,[status(thm)],[c_442]) ).
cnf(c_2766,plain,
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(renaming,[status(thm)],[c_2765]) ).
cnf(c_20689,plain,
( X0 != sK337
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ in(X2,sK307(X0,X1))
| ~ top_str(X0)
| in(X2,powerset(the_carrier(X0))) ),
inference(resolution_lifted,[status(thm)],[c_995,c_1065]) ).
cnf(c_20690,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK337))))
| ~ in(X1,sK307(sK337,X0))
| ~ top_str(sK337)
| in(X1,powerset(the_carrier(sK337))) ),
inference(unflattening,[status(thm)],[c_20689]) ).
cnf(c_20692,plain,
( ~ in(X1,sK307(sK337,X0))
| ~ element(X0,powerset(powerset(the_carrier(sK337))))
| in(X1,powerset(the_carrier(sK337))) ),
inference(global_subsumption_just,[status(thm)],[c_20690,c_1064,c_20690]) ).
cnf(c_20693,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK337))))
| ~ in(X1,sK307(sK337,X0))
| in(X1,powerset(the_carrier(sK337))) ),
inference(renaming,[status(thm)],[c_20692]) ).
cnf(c_20704,plain,
( X0 != sK337
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ in(X2,sK307(X0,X1))
| ~ top_str(X0)
| in(set_difference(cast_as_carrier_subset(X0),X2),X1) ),
inference(resolution_lifted,[status(thm)],[c_994,c_1065]) ).
cnf(c_20705,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK337))))
| ~ in(X1,sK307(sK337,X0))
| ~ top_str(sK337)
| in(set_difference(cast_as_carrier_subset(sK337),X1),X0) ),
inference(unflattening,[status(thm)],[c_20704]) ).
cnf(c_20707,plain,
( ~ in(X1,sK307(sK337,X0))
| ~ element(X0,powerset(powerset(the_carrier(sK337))))
| in(set_difference(cast_as_carrier_subset(sK337),X1),X0) ),
inference(global_subsumption_just,[status(thm)],[c_20705,c_1064,c_20705]) ).
cnf(c_20708,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK337))))
| ~ in(X1,sK307(sK337,X0))
| in(set_difference(cast_as_carrier_subset(sK337),X1),X0) ),
inference(renaming,[status(thm)],[c_20707]) ).
cnf(c_20773,plain,
( X0 != sK337
| ~ in(set_difference(cast_as_carrier_subset(X0),X1),X2)
| ~ element(X2,powerset(powerset(the_carrier(X0))))
| ~ in(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| in(X1,sK307(X0,X2)) ),
inference(resolution_lifted,[status(thm)],[c_993,c_1065]) ).
cnf(c_20774,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK337),X0),X1)
| ~ element(X1,powerset(powerset(the_carrier(sK337))))
| ~ in(X0,powerset(the_carrier(sK337)))
| ~ top_str(sK337)
| in(X0,sK307(sK337,X1)) ),
inference(unflattening,[status(thm)],[c_20773]) ).
cnf(c_20776,plain,
( ~ in(X0,powerset(the_carrier(sK337)))
| ~ element(X1,powerset(powerset(the_carrier(sK337))))
| ~ in(set_difference(cast_as_carrier_subset(sK337),X0),X1)
| in(X0,sK307(sK337,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_20774,c_1064,c_20774]) ).
cnf(c_20777,plain,
( ~ in(set_difference(cast_as_carrier_subset(sK337),X0),X1)
| ~ element(X1,powerset(powerset(the_carrier(sK337))))
| ~ in(X0,powerset(the_carrier(sK337)))
| in(X0,sK307(sK337,X1)) ),
inference(renaming,[status(thm)],[c_20776]) ).
cnf(c_20847,plain,
( X0 != sK337
| one_sorted_str(X0) ),
inference(resolution_lifted,[status(thm)],[c_2766,c_1064]) ).
cnf(c_20848,plain,
one_sorted_str(sK337),
inference(unflattening,[status(thm)],[c_20847]) ).
cnf(c_21935,plain,
( X0 != sK337
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(resolution_lifted,[status(thm)],[c_2757,c_20848]) ).
cnf(c_21936,plain,
the_carrier(sK337) = cast_as_carrier_subset(sK337),
inference(unflattening,[status(thm)],[c_21935]) ).
cnf(c_54439,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK337))))
| in(set_difference(the_carrier(sK337),sK339(X0)),sK338)
| in(sK339(X0),X0) ),
inference(light_normalisation,[status(thm)],[c_1061,c_21936]) ).
cnf(c_54560,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK337))))
| ~ in(X1,sK307(sK337,X0))
| in(set_difference(the_carrier(sK337),X1),X0) ),
inference(light_normalisation,[status(thm)],[c_20708,c_21936]) ).
cnf(c_54773,plain,
( ~ in(set_difference(the_carrier(sK337),sK339(X0)),sK338)
| ~ element(X0,powerset(powerset(the_carrier(sK337))))
| ~ in(sK339(X0),X0) ),
inference(light_normalisation,[status(thm)],[c_1060,c_21936]) ).
cnf(c_55781,plain,
( ~ in(set_difference(the_carrier(sK337),X0),X1)
| ~ element(X1,powerset(powerset(the_carrier(sK337))))
| ~ in(X0,powerset(the_carrier(sK337)))
| in(X0,sK307(sK337,X1)) ),
inference(light_normalisation,[status(thm)],[c_20777,c_21936]) ).
cnf(c_138854,plain,
( ~ in(X0,sK307(sK337,sK338))
| in(X0,powerset(the_carrier(sK337))) ),
inference(superposition,[status(thm)],[c_1063,c_20693]) ).
cnf(c_145767,plain,
( ~ element(sK338,powerset(powerset(the_carrier(sK337))))
| ~ in(X0,sK307(sK337,sK338))
| in(set_difference(the_carrier(sK337),X0),sK338) ),
inference(instantiation,[status(thm)],[c_54560]) ).
cnf(c_147438,plain,
( ~ subset(X0,the_carrier(sK337))
| in(X0,powerset(the_carrier(sK337))) ),
inference(instantiation,[status(thm)],[c_223]) ).
cnf(c_148383,plain,
( ~ subset(X0,powerset(the_carrier(sK337)))
| element(X0,powerset(powerset(the_carrier(sK337)))) ),
inference(instantiation,[status(thm)],[c_1217]) ).
cnf(c_148643,plain,
( in(sK92(sK307(sK337,sK338),X0),powerset(the_carrier(sK337)))
| subset(sK307(sK337,sK338),X0) ),
inference(superposition,[status(thm)],[c_278,c_138854]) ).
cnf(c_151154,plain,
( ~ subset(X0,powerset(the_carrier(sK337)))
| element(sK339(X0),powerset(the_carrier(sK337))) ),
inference(superposition,[status(thm)],[c_1217,c_1062]) ).
cnf(c_151549,plain,
( ~ subset(X0,powerset(the_carrier(sK337)))
| subset(sK339(X0),the_carrier(sK337)) ),
inference(superposition,[status(thm)],[c_151154,c_1218]) ).
cnf(c_155781,plain,
subset(sK307(sK337,sK338),powerset(the_carrier(sK337))),
inference(superposition,[status(thm)],[c_148643,c_277]) ).
cnf(c_162677,plain,
subset(sK339(sK307(sK337,sK338)),the_carrier(sK337)),
inference(superposition,[status(thm)],[c_155781,c_151549]) ).
cnf(c_167425,plain,
( ~ in(set_difference(the_carrier(sK337),sK339(X0)),sK338)
| ~ in(sK339(X0),powerset(the_carrier(sK337)))
| ~ element(sK338,powerset(powerset(the_carrier(sK337))))
| in(sK339(X0),sK307(sK337,sK338)) ),
inference(instantiation,[status(thm)],[c_55781]) ).
cnf(c_179493,plain,
( ~ in(set_difference(the_carrier(sK337),sK339(sK307(sK337,sK338))),sK338)
| ~ in(sK339(sK307(sK337,sK338)),powerset(the_carrier(sK337)))
| ~ element(sK338,powerset(powerset(the_carrier(sK337))))
| in(sK339(sK307(sK337,sK338)),sK307(sK337,sK338)) ),
inference(instantiation,[status(thm)],[c_167425]) ).
cnf(c_179494,plain,
( ~ in(set_difference(the_carrier(sK337),sK339(sK307(sK337,sK338))),sK338)
| ~ in(sK339(sK307(sK337,sK338)),sK307(sK337,sK338))
| ~ element(sK307(sK337,sK338),powerset(powerset(the_carrier(sK337)))) ),
inference(instantiation,[status(thm)],[c_54773]) ).
cnf(c_179496,plain,
( ~ in(sK339(X0),sK307(sK337,sK338))
| ~ element(sK338,powerset(powerset(the_carrier(sK337))))
| in(set_difference(the_carrier(sK337),sK339(X0)),sK338) ),
inference(instantiation,[status(thm)],[c_145767]) ).
cnf(c_208688,plain,
( ~ subset(sK339(sK307(sK337,sK338)),the_carrier(sK337))
| in(sK339(sK307(sK337,sK338)),powerset(the_carrier(sK337))) ),
inference(instantiation,[status(thm)],[c_147438]) ).
cnf(c_214304,plain,
( ~ in(sK339(sK307(sK337,sK338)),sK307(sK337,sK338))
| ~ element(sK338,powerset(powerset(the_carrier(sK337))))
| in(set_difference(the_carrier(sK337),sK339(sK307(sK337,sK338))),sK338) ),
inference(instantiation,[status(thm)],[c_179496]) ).
cnf(c_214305,plain,
( ~ element(sK307(sK337,sK338),powerset(powerset(the_carrier(sK337))))
| in(set_difference(the_carrier(sK337),sK339(sK307(sK337,sK338))),sK338)
| in(sK339(sK307(sK337,sK338)),sK307(sK337,sK338)) ),
inference(instantiation,[status(thm)],[c_54439]) ).
cnf(c_228593,plain,
( ~ subset(sK307(sK337,sK338),powerset(the_carrier(sK337)))
| element(sK307(sK337,sK338),powerset(powerset(the_carrier(sK337)))) ),
inference(instantiation,[status(thm)],[c_148383]) ).
cnf(c_229841,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_228593,c_214304,c_214305,c_208688,c_179494,c_179493,c_162677,c_155781,c_1063]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU311+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n025.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 23:08:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 46.76/7.23 % SZS status Started for theBenchmark.p
% 46.76/7.23 % SZS status Theorem for theBenchmark.p
% 46.76/7.23
% 46.76/7.23 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 46.76/7.23
% 46.76/7.23 ------ iProver source info
% 46.76/7.23
% 46.76/7.23 git: date: 2023-05-31 18:12:56 +0000
% 46.76/7.23 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 46.76/7.23 git: non_committed_changes: false
% 46.76/7.23 git: last_make_outside_of_git: false
% 46.76/7.23
% 46.76/7.23 ------ Parsing...
% 46.76/7.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 46.76/7.23
% 46.76/7.23 ------ Preprocessing... sup_sim: 95 sf_s rm: 91 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 30 sf_s rm: 24 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 24 0s sf_e pe_s pe_e
% 46.76/7.23
% 46.76/7.23 ------ Preprocessing... gs_s sp: 15 0s gs_e snvd_s sp: 0 0s snvd_e
% 46.76/7.23
% 46.76/7.23 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 46.76/7.23 ------ Proving...
% 46.76/7.23 ------ Problem Properties
% 46.76/7.23
% 46.76/7.23
% 46.76/7.23 clauses 1120
% 46.76/7.23 conjectures 2
% 46.76/7.23 EPR 171
% 46.76/7.23 Horn 840
% 46.76/7.23 unary 156
% 46.76/7.23 binary 345
% 46.76/7.23 lits 3310
% 46.76/7.23 lits eq 515
% 46.76/7.23 fd_pure 0
% 46.76/7.23 fd_pseudo 0
% 46.76/7.23 fd_cond 44
% 46.76/7.23 fd_pseudo_cond 115
% 46.76/7.23 AC symbols 0
% 46.76/7.23
% 46.76/7.23 ------ Schedule dynamic 5 is on
% 46.76/7.23
% 46.76/7.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 46.76/7.23
% 46.76/7.23
% 46.76/7.23 ------
% 46.76/7.23 Current options:
% 46.76/7.23 ------
% 46.76/7.23
% 46.76/7.23
% 46.76/7.23
% 46.76/7.23
% 46.76/7.23 ------ Proving...
% 46.76/7.23
% 46.76/7.23
% 46.76/7.23 % SZS status Theorem for theBenchmark.p
% 46.76/7.23
% 46.76/7.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.76/7.23
% 46.76/7.23
%------------------------------------------------------------------------------