%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET770+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:48:32 PM UTC 2026
% Result : Theorem 4.31s 1.28s
% Output : CNFRefutation 4.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 168 ( 26 unt; 0 def)
% Number of atoms : 604 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 730 ( 294 ~; 356 |; 51 &)
% ( 6 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 496 ( 0 sgn 484 !; 12 ?; 364 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(f12,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> ~ ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',disjoint) ).
fof(f14,axiom,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2,X3,X4] :
( ( member(X4,X0)
& member(X3,X0)
& member(X2,X0) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X2,X3) )
=> apply(X1,X2,X4) ) )
& ! [X2,X3] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( apply(X1,X2,X3)
=> apply(X1,X3,X2) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',equivalence) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( member(X3,equivalence_class(X2,X1,X0))
<=> ( apply(X0,X2,X3)
& member(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',equivalence_class) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( ( member(X3,X0)
& member(X2,X0)
& equivalence(X1,X0) )
=> ( disjoint(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1))
| equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII06) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( member(X3,X0)
& member(X2,X0)
& equivalence(X1,X0) )
=> ( disjoint(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1))
| equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X5,X6,X7] :
( ( member(X7,X0)
& member(X6,X0)
& member(X5,X0) )
=> ( ( apply(X1,X6,X7)
& apply(X1,X5,X6) )
=> apply(X1,X5,X7) ) )
& ! [X3,X4] :
( ( member(X4,X0)
& member(X3,X0) )
=> ( apply(X1,X3,X4)
=> apply(X1,X4,X3) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) ) ) ),
inference(rectify,[],[f14]) ).
fof(f20,plain,
! [X0,X1] :
( equivalence(X1,X0)
=> ( ! [X5,X6,X7] :
( ( member(X7,X0)
& member(X6,X0)
& member(X5,X0) )
=> ( ( apply(X1,X6,X7)
& apply(X1,X5,X6) )
=> apply(X1,X5,X7) ) )
& ! [X3,X4] :
( ( member(X4,X0)
& member(X3,X0) )
=> ( apply(X1,X3,X4)
=> apply(X1,X4,X3) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ~ ? [X2] :
( member(X2,X1)
& member(X2,X0) )
=> disjoint(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f22,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f23,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
=> subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f24,plain,
? [X0,X1,X2,X3] :
( member(X3,X0)
& member(X2,X0)
& equivalence(X1,X0)
& ~ disjoint(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1))
& ~ equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f25,plain,
? [X0,X1,X2,X3] :
( member(X3,X0)
& member(X2,X0)
& equivalence(X1,X0)
& ~ disjoint(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1))
& ~ equal_set(equivalence_class(X2,X0,X1),equivalence_class(X3,X0,X1)) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f27,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
| disjoint(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f29,plain,
! [X0,X1] :
( ~ equivalence(X1,X0)
| ( ! [X5,X6,X7] :
( ~ member(X7,X0)
| ~ member(X6,X0)
| ~ member(X5,X0)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X5,X6)
| apply(X1,X5,X7) )
& ! [X3,X4] :
( ~ member(X4,X0)
| ~ member(X3,X0)
| ~ apply(X1,X3,X4)
| apply(X1,X4,X3) )
& ! [X2] :
( ~ member(X2,X0)
| apply(X1,X2,X2) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f30,plain,
! [X0,X1] :
( ~ equivalence(X1,X0)
| ( ! [X5,X6,X7] :
( ~ member(X7,X0)
| ~ member(X6,X0)
| ~ member(X5,X0)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X5,X6)
| apply(X1,X5,X7) )
& ! [X3,X4] :
( ~ member(X4,X0)
| ~ member(X3,X0)
| ~ apply(X1,X3,X4)
| apply(X1,X4,X3) )
& ! [X2] :
( ~ member(X2,X0)
| apply(X1,X2,X2) ) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f32,plain,
( member(sK3,sK0)
& member(sK2,sK0)
& equivalence(sK1,sK0)
& ~ disjoint(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1))
& ~ equal_set(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f25]) ).
fof(f33,plain,
! [X0,X1] :
( ( member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) )
| disjoint(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f28]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,equivalence_class(X2,X1,X0))
| ( apply(X0,X2,X3)
& member(X3,X1) ) )
& ( ~ apply(X0,X2,X3)
| ~ member(X3,X1)
| member(X3,equivalence_class(X2,X1,X0)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,equivalence_class(X2,X1,X0))
| ( apply(X0,X2,X3)
& member(X3,X1) ) )
& ( ~ apply(X0,X2,X3)
| ~ member(X3,X1)
| member(X3,equivalence_class(X2,X1,X0)) ) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( member(sK5(X0,X1),X0)
& ~ member(sK5(X0,X1),X1) )
| subset(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f31]) ).
fof(f37,plain,
member(sK3,sK0),
inference(cnf_transformation,[],[f32]) ).
fof(f38,plain,
member(sK2,sK0),
inference(cnf_transformation,[],[f32]) ).
fof(f39,plain,
equivalence(sK1,sK0),
inference(cnf_transformation,[],[f32]) ).
fof(f40,plain,
~ disjoint(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),
inference(cnf_transformation,[],[f32]) ).
fof(f41,plain,
~ equal_set(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),
inference(cnf_transformation,[],[f32]) ).
fof(f42,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f43,plain,
! [X0,X1] :
( member(sK4(X0,X1),X1)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f44,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f45,plain,
! [X0,X1,X6,X7,X5] :
( ~ equivalence(X1,X0)
| ~ member(X7,X0)
| ~ member(X6,X0)
| ~ member(X5,X0)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X5,X6)
| apply(X1,X5,X7) ),
inference(cnf_transformation,[],[f30]) ).
fof(f46,plain,
! [X3,X0,X1,X4] :
( ~ equivalence(X1,X0)
| ~ member(X4,X0)
| ~ member(X3,X0)
| ~ apply(X1,X3,X4)
| apply(X1,X4,X3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ equivalence(X1,X0)
| ~ member(X2,X0)
| apply(X1,X2,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,equivalence_class(X2,X1,X0))
| apply(X0,X2,X3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,equivalence_class(X2,X1,X0))
| member(X3,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X2,X3)
| ~ member(X3,X1)
| member(X3,equivalence_class(X2,X1,X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f51,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
! [X0,X1] :
( ~ member(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_49,negated_conjecture,
~ equal_set(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),
inference(cnf_transformation,[],[f41]) ).
tcf(c_50,negated_conjecture,
~ disjoint(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),
inference(cnf_transformation,[],[f40]) ).
tcf(c_51,negated_conjecture,
equivalence(sK1,sK0),
inference(cnf_transformation,[],[f39]) ).
tcf(c_52,negated_conjecture,
member(sK2,sK0),
inference(cnf_transformation,[],[f38]) ).
tcf(c_53,negated_conjecture,
member(sK3,sK0),
inference(cnf_transformation,[],[f37]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( disjoint(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( disjoint(X0,X1)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X0,X2,X2)
| ~ member(X2,X1)
| ~ equivalence(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X2,X1)
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ equivalence(X0,X3)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X0,X1,X3)
| ~ member(X3,X4)
| ~ member(X2,X4)
| ~ member(X1,X4)
| ~ equivalence(X0,X4)
| ~ apply(X0,X2,X3)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X2,equivalence_class(X1,X3,X0))
| ~ member(X2,X3)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(X0,equivalence_class(X1,X2,X3)) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X3,X1,X0)
| ~ member(X0,equivalence_class(X1,X2,X3)) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_149,plain,
( ~ subset(equivalence_class(sK3,sK0,sK1),equivalence_class(sK2,sK0,sK1))
| ~ subset(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)) ),
inference(resolution,[status(thm)],[c_49,c_54]) ).
tcf(c_158,plain,
member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),equivalence_class(sK3,sK0,sK1)),
inference(resolution,[status(thm)],[c_50,c_56]) ).
tcf(c_162,plain,
member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),equivalence_class(sK2,sK0,sK1)),
inference(resolution,[status(thm)],[c_50,c_55]) ).
tcf(c_168,plain,
! [X0: $i] :
( apply(sK1,X0,X0)
| ~ member(X0,sK0) ),
inference(resolution,[status(thm)],[c_51,c_57]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( apply(sK1,X1,X0)
| ~ member(X1,sK0)
| ~ member(X0,sK0)
| ~ apply(sK1,X0,X1) ),
inference(resolution,[status(thm)],[c_51,c_58]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK1,X0,X2)
| ~ member(X2,sK0)
| ~ member(X1,sK0)
| ~ member(X0,sK0)
| ~ apply(sK1,X1,X2)
| ~ apply(sK1,X0,X1) ),
inference(resolution,[status(thm)],[c_51,c_59]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,equivalence_class(X1,X3,X0))
| ~ member(sK5(X2,equivalence_class(X1,X3,X0)),X3)
| ~ apply(X0,X1,sK5(X2,equivalence_class(X1,X3,X0))) ),
inference(superposition,[status(thm)],[c_60,c_63]) ).
tcf(c_458,plain,
! [X0: $i] : subset(X0,X0),
inference(superposition,[status(thm)],[c_64,c_63]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(X0,X1,X2),X3)
| member(sK5(equivalence_class(X0,X1,X2),X3),X1) ),
inference(superposition,[status(thm)],[c_64,c_61]) ).
tcf(c_499,plain,
member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0),
inference(superposition,[status(thm)],[c_158,c_61]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(X1,X2,X0),X3)
| apply(X0,X1,sK5(equivalence_class(X1,X2,X0),X3)) ),
inference(superposition,[status(thm)],[c_64,c_62]) ).
tcf(c_547,plain,
apply(sK1,sK3,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1))),
inference(superposition,[status(thm)],[c_158,c_62]) ).
tcf(c_548,plain,
apply(sK1,sK2,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1))),
inference(superposition,[status(thm)],[c_162,c_62]) ).
tcf(c_610,plain,
! [X0: $i] :
( apply(sK1,sK3,X0)
| ~ member(sK3,sK0)
| ~ member(X0,sK0)
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0)
| ~ apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0) ),
inference(superposition,[status(thm)],[c_547,c_189]) ).
tcf(c_611,plain,
( apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK3)
| ~ member(sK3,sK0)
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_547,c_176]) ).
tcf(c_612,plain,
apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_611,c_53,c_499]) ).
tcf(c_613,plain,
! [X0: $i] :
( apply(sK1,sK3,X0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_610,c_53,c_499]) ).
tcf(c_625,plain,
! [X0: $i] :
( apply(sK1,sK2,X0)
| ~ member(sK2,sK0)
| ~ member(X0,sK0)
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0)
| ~ apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0) ),
inference(superposition,[status(thm)],[c_548,c_189]) ).
tcf(c_626,plain,
( apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK2)
| ~ member(sK2,sK0)
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_548,c_176]) ).
tcf(c_627,plain,
apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_626,c_52,c_499]) ).
tcf(c_628,plain,
! [X0: $i] :
( apply(sK1,sK2,X0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_625,c_52,c_499]) ).
tcf(c_657,plain,
! [X0: $i] :
( apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0)
| ~ member(sK3,sK0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK3,X0)
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_612,c_189]) ).
tcf(c_659,plain,
! [X0: $i] :
( apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_657,c_53,c_499]) ).
tcf(c_673,plain,
! [X0: $i] :
( apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0)
| ~ member(sK2,sK0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK2,X0)
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_627,c_189]) ).
tcf(c_675,plain,
! [X0: $i] :
( apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_673,c_52,c_499]) ).
tcf(c_715,plain,
( apply(sK1,sK3,sK3)
| ~ member(sK3,sK0) ),
inference(superposition,[status(thm)],[c_612,c_613]) ).
tcf(c_716,plain,
( apply(sK1,sK3,sK2)
| ~ member(sK2,sK0) ),
inference(superposition,[status(thm)],[c_627,c_613]) ).
tcf(c_717,plain,
apply(sK1,sK3,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_716,c_52]) ).
tcf(c_718,plain,
apply(sK1,sK3,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_715,c_53]) ).
tcf(c_756,plain,
! [X0: $i] :
( apply(sK1,sK3,X0)
| ~ member(sK3,sK0)
| ~ member(sK2,sK0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_717,c_189]) ).
tcf(c_757,plain,
( apply(sK1,sK2,sK3)
| ~ member(sK3,sK0)
| ~ member(sK2,sK0) ),
inference(superposition,[status(thm)],[c_717,c_176]) ).
tcf(c_758,plain,
apply(sK1,sK2,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_757,c_53,c_52]) ).
tcf(c_759,plain,
! [X0: $i] :
( apply(sK1,sK3,X0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_756,c_53,c_52]) ).
tcf(c_795,plain,
! [X0: $i] :
( apply(sK1,sK2,X0)
| ~ member(sK3,sK0)
| ~ member(sK2,sK0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_758,c_189]) ).
tcf(c_797,plain,
! [X0: $i] :
( apply(sK1,sK2,X0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_795,c_53,c_52]) ).
tcf(c_847,plain,
( apply(sK1,sK2,sK2)
| ~ member(sK2,sK0) ),
inference(superposition,[status(thm)],[c_717,c_797]) ).
tcf(c_848,plain,
apply(sK1,sK2,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_847,c_52]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(equivalence_class(X2,equivalence_class(X1,X3,X0),X4),X5)
| apply(X0,X1,sK5(equivalence_class(X2,equivalence_class(X1,X3,X0),X4),X5)) ),
inference(superposition,[status(thm)],[c_498,c_62]) ).
tcf(c_884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,X2,X3),X4),X5)
| member(sK5(equivalence_class(X0,equivalence_class(X1,X2,X3),X4),X5),X2) ),
inference(superposition,[status(thm)],[c_498,c_61]) ).
tcf(c_885,plain,
! [X0: $i,X1: $i,X2: $i] : subset(equivalence_class(X0,X1,X2),X1),
inference(superposition,[status(thm)],[c_498,c_63]) ).
tcf(c_967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK1,X0,X3)
| subset(equivalence_class(X0,X1,sK1),X2)
| ~ member(X3,sK0)
| ~ member(X0,sK0)
| ~ member(sK5(equivalence_class(X0,X1,sK1),X2),sK0)
| ~ apply(sK1,sK5(equivalence_class(X0,X1,sK1),X2),X3) ),
inference(superposition,[status(thm)],[c_546,c_189]) ).
tcf(c_968,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(equivalence_class(X0,X1,sK1),X2)
| apply(sK1,sK5(equivalence_class(X0,X1,sK1),X2),X0)
| ~ member(X0,sK0)
| ~ member(sK5(equivalence_class(X0,X1,sK1),X2),sK0) ),
inference(superposition,[status(thm)],[c_546,c_176]) ).
tcf(c_969,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK2,X0,sK1),X1)
| apply(sK1,sK3,sK5(equivalence_class(sK2,X0,sK1),X1))
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_546,c_759]) ).
tcf(c_970,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK3,X0,sK1),X1)
| apply(sK1,sK2,sK5(equivalence_class(sK3,X0,sK1),X1))
| ~ member(sK5(equivalence_class(sK3,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_546,c_797]) ).
tcf(c_971,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0,sK1),X1)
| apply(sK1,sK3,sK5(equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0,sK1),X1))
| ~ member(sK5(equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_546,c_613]) ).
tcf(c_972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(X0,X1,X2),equivalence_class(X0,X3,X2))
| ~ member(sK5(equivalence_class(X0,X1,X2),equivalence_class(X0,X3,X2)),X3) ),
inference(superposition,[status(thm)],[c_546,c_457]) ).
tcf(c_1042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(equivalence_class(X2,equivalence_class(X3,equivalence_class(X1,X4,X0),X5),X6),X7)
| apply(X0,X1,sK5(equivalence_class(X2,equivalence_class(X3,equivalence_class(X1,X4,X0),X5),X6),X7)) ),
inference(superposition,[status(thm)],[c_884,c_62]) ).
tcf(c_1043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,X4),X5),X6),X7)
| member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,X4),X5),X6),X7),X3) ),
inference(superposition,[status(thm)],[c_884,c_61]) ).
tcf(c_1044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(equivalence_class(X0,equivalence_class(X1,X2,X3),X4),X2),
inference(superposition,[status(thm)],[c_884,c_63]) ).
tcf(c_1108,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0,sK1),X1)
| apply(sK1,sK2,sK5(equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0,sK1),X1))
| ~ member(sK5(equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_546,c_628]) ).
tcf(c_1174,plain,
! [X0: $i,X1: $i] :
( apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1)
| ~ member(X1,sK0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK3,X0)
| ~ apply(sK1,X0,X1)
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_659,c_189]) ).
tcf(c_1175,plain,
! [X0: $i] :
( apply(sK1,X0,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)))
| ~ member(X0,sK0)
| ~ apply(sK1,sK3,X0)
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_659,c_176]) ).
tcf(c_1178,plain,
! [X0: $i,X1: $i] :
( subset(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1))
| ~ member(sK5(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1)),sK0)
| ~ member(sK5(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1)),X1)
| ~ apply(sK1,sK3,sK5(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1))) ),
inference(superposition,[status(thm)],[c_659,c_457]) ).
tcf(c_1179,plain,
! [X0: $i] :
( apply(sK1,X0,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)))
| ~ member(X0,sK0)
| ~ apply(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1175,c_499]) ).
tcf(c_1183,plain,
! [X0: $i,X1: $i] :
( apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1)
| ~ member(X1,sK0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK3,X0)
| ~ apply(sK1,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1174,c_499]) ).
tcf(c_1243,plain,
! [X0: $i,X1: $i] :
( apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1)
| ~ member(X1,sK0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK2,X0)
| ~ apply(sK1,X0,X1)
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_675,c_189]) ).
tcf(c_1244,plain,
! [X0: $i] :
( apply(sK1,X0,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)))
| ~ member(X0,sK0)
| ~ apply(sK1,sK2,X0)
| ~ member(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_675,c_176]) ).
tcf(c_1247,plain,
! [X0: $i,X1: $i] :
( subset(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1))
| ~ member(sK5(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1)),sK0)
| ~ member(sK5(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1)),X1)
| ~ apply(sK1,sK2,sK5(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1))) ),
inference(superposition,[status(thm)],[c_675,c_457]) ).
tcf(c_1248,plain,
! [X0: $i] :
( apply(sK1,X0,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)))
| ~ member(X0,sK0)
| ~ apply(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1244,c_499]) ).
tcf(c_1252,plain,
! [X0: $i,X1: $i] :
( apply(sK1,sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1)
| ~ member(X1,sK0)
| ~ member(X0,sK0)
| ~ apply(sK1,sK2,X0)
| ~ apply(sK1,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1243,c_499]) ).
tcf(c_1324,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK1,sK3,X2)
| subset(equivalence_class(sK2,X0,sK1),X1)
| ~ member(sK3,sK0)
| ~ member(X2,sK0)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0)
| ~ apply(sK1,sK5(equivalence_class(sK2,X0,sK1),X1),X2) ),
inference(superposition,[status(thm)],[c_969,c_189]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK2,X0,sK1),X1)
| apply(sK1,sK5(equivalence_class(sK2,X0,sK1),X1),sK3)
| ~ member(sK3,sK0)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_969,c_176]) ).
tcf(c_1326,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK2,X0,sK1),X1)
| apply(sK1,sK2,sK5(equivalence_class(sK2,X0,sK1),X1))
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_969,c_797]) ).
tcf(c_1327,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK2,X0,sK1),equivalence_class(sK3,X1,sK1))
| ~ member(sK5(equivalence_class(sK2,X0,sK1),equivalence_class(sK3,X1,sK1)),sK0)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),equivalence_class(sK3,X1,sK1)),X1) ),
inference(superposition,[status(thm)],[c_969,c_457]) ).
tcf(c_1331,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK2,X0,sK1),X1)
| apply(sK1,sK5(equivalence_class(sK2,X0,sK1),X1),sK3)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1325,c_53]) ).
tcf(c_1338,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK1,sK3,X2)
| subset(equivalence_class(sK2,X0,sK1),X1)
| ~ member(X2,sK0)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0)
| ~ apply(sK1,sK5(equivalence_class(sK2,X0,sK1),X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1324,c_53]) ).
tcf(c_1442,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(equivalence_class(sK2,X0,sK1),X1)
| apply(sK1,sK5(equivalence_class(sK2,X0,sK1),X1),X2)
| ~ member(sK3,sK0)
| ~ member(X2,sK0)
| ~ apply(sK1,sK3,X2)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_1331,c_189]) ).
tcf(c_1443,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK2,X0,sK1),X1)
| apply(sK1,sK3,sK5(equivalence_class(sK2,X0,sK1),X1))
| ~ member(sK3,sK0)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_1331,c_176]) ).
tcf(c_1445,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(equivalence_class(sK2,X0,sK1),X1)
| apply(sK1,sK5(equivalence_class(sK2,X0,sK1),X1),X2)
| ~ member(X2,sK0)
| ~ apply(sK1,sK3,X2)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1442,c_53]) ).
tcf(c_1500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(sK2,X0,sK1),X1)
| subset(equivalence_class(sK5(equivalence_class(sK2,X0,sK1),X1),X2,sK1),X3)
| apply(sK1,sK3,sK5(equivalence_class(sK5(equivalence_class(sK2,X0,sK1),X1),X2,sK1),X3))
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0)
| ~ member(sK5(equivalence_class(sK5(equivalence_class(sK2,X0,sK1),X1),X2,sK1),X3),sK0) ),
inference(superposition,[status(thm)],[c_546,c_1338]) ).
tcf(c_1530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(sK2,X0,sK1),X1)
| apply(sK1,sK5(equivalence_class(sK2,X0,sK1),X1),X3)
| ~ member(X3,sK0)
| ~ member(X2,sK0)
| ~ apply(sK1,sK3,X2)
| ~ apply(sK1,X2,X3)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_1445,c_189]) ).
tcf(c_1531,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(equivalence_class(sK2,X0,sK1),X1)
| apply(sK1,X2,sK5(equivalence_class(sK2,X0,sK1),X1))
| ~ member(X2,sK0)
| ~ apply(sK1,sK3,X2)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_1445,c_176]) ).
tcf(c_1532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(sK2,X1,sK1),X2)
| subset(X0,equivalence_class(sK5(equivalence_class(sK2,X1,sK1),X2),X3,sK1))
| ~ member(sK5(equivalence_class(sK2,X1,sK1),X2),sK0)
| ~ member(sK5(X0,equivalence_class(sK5(equivalence_class(sK2,X1,sK1),X2),X3,sK1)),sK0)
| ~ member(sK5(X0,equivalence_class(sK5(equivalence_class(sK2,X1,sK1),X2),X3,sK1)),X3)
| ~ apply(sK1,sK3,sK5(X0,equivalence_class(sK5(equivalence_class(sK2,X1,sK1),X2),X3,sK1))) ),
inference(superposition,[status(thm)],[c_1445,c_457]) ).
tcf(c_1609,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK1,sK2,X2)
| subset(equivalence_class(sK3,X0,sK1),X1)
| ~ member(sK2,sK0)
| ~ member(X2,sK0)
| ~ member(sK5(equivalence_class(sK3,X0,sK1),X1),sK0)
| ~ apply(sK1,sK5(equivalence_class(sK3,X0,sK1),X1),X2) ),
inference(superposition,[status(thm)],[c_970,c_189]) ).
tcf(c_1610,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK3,X0,sK1),X1)
| apply(sK1,sK5(equivalence_class(sK3,X0,sK1),X1),sK2)
| ~ member(sK2,sK0)
| ~ member(sK5(equivalence_class(sK3,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_970,c_176]) ).
tcf(c_1611,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK3,X0,sK1),X1)
| apply(sK1,sK3,sK5(equivalence_class(sK3,X0,sK1),X1))
| ~ member(sK5(equivalence_class(sK3,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_970,c_759]) ).
tcf(c_1612,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK3,X0,sK1),equivalence_class(sK2,X1,sK1))
| ~ member(sK5(equivalence_class(sK3,X0,sK1),equivalence_class(sK2,X1,sK1)),sK0)
| ~ member(sK5(equivalence_class(sK3,X0,sK1),equivalence_class(sK2,X1,sK1)),X1) ),
inference(superposition,[status(thm)],[c_970,c_457]) ).
tcf(c_1616,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK3,X0,sK1),X1)
| apply(sK1,sK5(equivalence_class(sK3,X0,sK1),X1),sK2)
| ~ member(sK5(equivalence_class(sK3,X0,sK1),X1),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1610,c_52]) ).
tcf(c_1623,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK1,sK2,X2)
| subset(equivalence_class(sK3,X0,sK1),X1)
| ~ member(X2,sK0)
| ~ member(sK5(equivalence_class(sK3,X0,sK1),X1),sK0)
| ~ apply(sK1,sK5(equivalence_class(sK3,X0,sK1),X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1609,c_52]) ).
tcf(c_1785,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(equivalence_class(sK3,X0,sK1),X1)
| apply(sK1,sK5(equivalence_class(sK3,X0,sK1),X1),X2)
| ~ member(sK2,sK0)
| ~ member(X2,sK0)
| ~ apply(sK1,sK2,X2)
| ~ member(sK5(equivalence_class(sK3,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_1616,c_189]) ).
tcf(c_1786,plain,
! [X0: $i,X1: $i] :
( subset(equivalence_class(sK3,X0,sK1),X1)
| apply(sK1,sK2,sK5(equivalence_class(sK3,X0,sK1),X1))
| ~ member(sK2,sK0)
| ~ member(sK5(equivalence_class(sK3,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_1616,c_176]) ).
tcf(c_1788,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(equivalence_class(sK3,X0,sK1),X1)
| apply(sK1,sK5(equivalence_class(sK3,X0,sK1),X1),X2)
| ~ member(X2,sK0)
| ~ apply(sK1,sK2,X2)
| ~ member(sK5(equivalence_class(sK3,X0,sK1),X1),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1785,c_52]) ).
tcf(c_1805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(sK3,X0,sK1),X1)
| subset(equivalence_class(sK5(equivalence_class(sK3,X0,sK1),X1),X2,sK1),X3)
| apply(sK1,sK2,sK5(equivalence_class(sK5(equivalence_class(sK3,X0,sK1),X1),X2,sK1),X3))
| ~ member(sK5(equivalence_class(sK3,X0,sK1),X1),sK0)
| ~ member(sK5(equivalence_class(sK5(equivalence_class(sK3,X0,sK1),X1),X2,sK1),X3),sK0) ),
inference(superposition,[status(thm)],[c_546,c_1623]) ).
tcf(c_1897,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(equivalence_class(X0,X1,sK1),X2)
| apply(sK1,X0,sK5(equivalence_class(X0,X1,sK1),X2))
| ~ member(X0,sK0)
| ~ member(sK5(equivalence_class(X0,X1,sK1),X2),sK0) ),
inference(superposition,[status(thm)],[c_168,c_967]) ).
tcf(c_1898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(equivalence_class(X0,X1,sK1),X2)
| subset(equivalence_class(sK5(equivalence_class(X0,X1,sK1),X2),X3,sK1),X4)
| apply(sK1,X0,sK5(equivalence_class(sK5(equivalence_class(X0,X1,sK1),X2),X3,sK1),X4))
| ~ member(X0,sK0)
| ~ member(sK5(equivalence_class(X0,X1,sK1),X2),sK0)
| ~ member(sK5(equivalence_class(sK5(equivalence_class(X0,X1,sK1),X2),X3,sK1),X4),sK0) ),
inference(superposition,[status(thm)],[c_546,c_967]) ).
tcf(c_1899,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK1,sK2,X2)
| subset(equivalence_class(sK2,X0,sK1),X1)
| ~ member(sK2,sK0)
| ~ member(X2,sK0)
| ~ apply(sK1,sK3,X2)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(superposition,[status(thm)],[c_1445,c_967]) ).
tcf(c_1906,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK1,sK2,X2)
| subset(equivalence_class(sK2,X0,sK1),X1)
| ~ member(X2,sK0)
| ~ apply(sK1,sK3,X2)
| ~ member(sK5(equivalence_class(sK2,X0,sK1),X1),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1899,c_52]) ).
tcf(c_2023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(sK1,X1,X5)
| subset(equivalence_class(X0,equivalence_class(X1,X2,sK1),X3),X4)
| ~ member(X5,sK0)
| ~ member(X1,sK0)
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,X2,sK1),X3),X4),sK0)
| ~ apply(sK1,sK5(equivalence_class(X0,equivalence_class(X1,X2,sK1),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_883,c_189]) ).
tcf(c_2024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,X2,sK1),X3),X4)
| apply(sK1,sK5(equivalence_class(X0,equivalence_class(X1,X2,sK1),X3),X4),X1)
| ~ member(X1,sK0)
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,X2,sK1),X3),X4),sK0) ),
inference(superposition,[status(thm)],[c_883,c_176]) ).
tcf(c_2025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(X0,equivalence_class(sK2,X1,sK1),X2),X3)
| apply(sK1,sK3,sK5(equivalence_class(X0,equivalence_class(sK2,X1,sK1),X2),X3))
| ~ member(sK5(equivalence_class(X0,equivalence_class(sK2,X1,sK1),X2),X3),sK0) ),
inference(superposition,[status(thm)],[c_883,c_759]) ).
tcf(c_2026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(X0,equivalence_class(sK3,X1,sK1),X2),X3)
| apply(sK1,sK2,sK5(equivalence_class(X0,equivalence_class(sK3,X1,sK1),X2),X3))
| ~ member(sK5(equivalence_class(X0,equivalence_class(sK3,X1,sK1),X2),X3),sK0) ),
inference(superposition,[status(thm)],[c_883,c_797]) ).
tcf(c_2027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1),X2),X3)
| apply(sK1,sK2,sK5(equivalence_class(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1),X2),X3))
| ~ member(sK5(equivalence_class(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1),X2),X3),sK0) ),
inference(superposition,[status(thm)],[c_883,c_628]) ).
tcf(c_2028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(equivalence_class(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1),X2),X3)
| apply(sK1,sK3,sK5(equivalence_class(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1),X2),X3))
| ~ member(sK5(equivalence_class(X0,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X1,sK1),X2),X3),sK0) ),
inference(superposition,[status(thm)],[c_883,c_613]) ).
tcf(c_2029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,X2,X3),X4),equivalence_class(X1,X5,X3))
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,X2,X3),X4),equivalence_class(X1,X5,X3)),X5) ),
inference(superposition,[status(thm)],[c_883,c_457]) ).
tcf(c_2030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(equivalence_class(X1,X2,sK1),X3)
| subset(equivalence_class(X0,equivalence_class(sK5(equivalence_class(X1,X2,sK1),X3),X4,sK1),X5),X6)
| apply(sK1,X1,sK5(equivalence_class(X0,equivalence_class(sK5(equivalence_class(X1,X2,sK1),X3),X4,sK1),X5),X6))
| ~ member(X1,sK0)
| ~ member(sK5(equivalence_class(X1,X2,sK1),X3),sK0)
| ~ member(sK5(equivalence_class(X0,equivalence_class(sK5(equivalence_class(X1,X2,sK1),X3),X4,sK1),X5),X6),sK0) ),
inference(superposition,[status(thm)],[c_883,c_967]) ).
tcf(c_2031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(equivalence_class(sK2,X1,sK1),X2)
| subset(equivalence_class(X0,equivalence_class(sK5(equivalence_class(sK2,X1,sK1),X2),X3,sK1),X4),X5)
| apply(sK1,sK3,sK5(equivalence_class(X0,equivalence_class(sK5(equivalence_class(sK2,X1,sK1),X2),X3,sK1),X4),X5))
| ~ member(sK5(equivalence_class(sK2,X1,sK1),X2),sK0)
| ~ member(sK5(equivalence_class(X0,equivalence_class(sK5(equivalence_class(sK2,X1,sK1),X2),X3,sK1),X4),X5),sK0) ),
inference(superposition,[status(thm)],[c_883,c_1338]) ).
tcf(c_2032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(equivalence_class(sK3,X1,sK1),X2)
| subset(equivalence_class(X0,equivalence_class(sK5(equivalence_class(sK3,X1,sK1),X2),X3,sK1),X4),X5)
| apply(sK1,sK2,sK5(equivalence_class(X0,equivalence_class(sK5(equivalence_class(sK3,X1,sK1),X2),X3,sK1),X4),X5))
| ~ member(sK5(equivalence_class(sK3,X1,sK1),X2),sK0)
| ~ member(sK5(equivalence_class(X0,equivalence_class(sK5(equivalence_class(sK3,X1,sK1),X2),X3,sK1),X4),X5),sK0) ),
inference(superposition,[status(thm)],[c_883,c_1623]) ).
tcf(c_2203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(equivalence_class(X2,equivalence_class(X3,equivalence_class(X4,equivalence_class(X1,X5,X0),X6),X7),X8),X9)
| apply(X0,X1,sK5(equivalence_class(X2,equivalence_class(X3,equivalence_class(X4,equivalence_class(X1,X5,X0),X6),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_1043,c_62]) ).
tcf(c_2204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,equivalence_class(X3,X4,X5),X6),X7),X8),X9)
| member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,equivalence_class(X3,X4,X5),X6),X7),X8),X9),X4) ),
inference(superposition,[status(thm)],[c_1043,c_61]) ).
tcf(c_2205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,X4),X5),X6),X3),
inference(superposition,[status(thm)],[c_1043,c_63]) ).
tcf(c_2452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( apply(sK1,X2,X7)
| subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,sK1),X4),X5),X6)
| ~ member(X7,sK0)
| ~ member(X2,sK0)
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,sK1),X4),X5),X6),sK0)
| ~ apply(sK1,sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,sK1),X4),X5),X6),X7) ),
inference(superposition,[status(thm)],[c_1042,c_189]) ).
tcf(c_2453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,sK1),X4),X5),X6)
| apply(sK1,sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,sK1),X4),X5),X6),X2)
| ~ member(X2,sK0)
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,sK1),X4),X5),X6),sK0) ),
inference(superposition,[status(thm)],[c_1042,c_176]) ).
tcf(c_2454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK2,X2,sK1),X3),X4),X5)
| apply(sK1,sK3,sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK2,X2,sK1),X3),X4),X5))
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK2,X2,sK1),X3),X4),X5),sK0) ),
inference(superposition,[status(thm)],[c_1042,c_759]) ).
tcf(c_2455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK3,X2,sK1),X3),X4),X5)
| apply(sK1,sK2,sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK3,X2,sK1),X3),X4),X5))
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK3,X2,sK1),X3),X4),X5),sK0) ),
inference(superposition,[status(thm)],[c_1042,c_797]) ).
tcf(c_2456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X2,sK1),X3),X4),X5)
| apply(sK1,sK2,sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X2,sK1),X3),X4),X5))
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X2,sK1),X3),X4),X5),sK0) ),
inference(superposition,[status(thm)],[c_1042,c_628]) ).
tcf(c_2457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X2,sK1),X3),X4),X5)
| apply(sK1,sK3,sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X2,sK1),X3),X4),X5))
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK4(equivalence_class(sK2,sK0,sK1),equivalence_class(sK3,sK0,sK1)),X2,sK1),X3),X4),X5),sK0) ),
inference(superposition,[status(thm)],[c_1042,c_613]) ).
tcf(c_2458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,X4),X5),X6),equivalence_class(X2,X7,X4))
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(X2,X3,X4),X5),X6),equivalence_class(X2,X7,X4)),X7) ),
inference(superposition,[status(thm)],[c_1042,c_457]) ).
tcf(c_2459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(equivalence_class(X2,X3,sK1),X4)
| subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK5(equivalence_class(X2,X3,sK1),X4),X5,sK1),X6),X7),X8)
| apply(sK1,X2,sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK5(equivalence_class(X2,X3,sK1),X4),X5,sK1),X6),X7),X8))
| ~ member(X2,sK0)
| ~ member(sK5(equivalence_class(X2,X3,sK1),X4),sK0)
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK5(equivalence_class(X2,X3,sK1),X4),X5,sK1),X6),X7),X8),sK0) ),
inference(superposition,[status(thm)],[c_1042,c_967]) ).
tcf(c_2460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(equivalence_class(sK2,X2,sK1),X3)
| subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK5(equivalence_class(sK2,X2,sK1),X3),X4,sK1),X5),X6),X7)
| apply(sK1,sK3,sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK5(equivalence_class(sK2,X2,sK1),X3),X4,sK1),X5),X6),X7))
| ~ member(sK5(equivalence_class(sK2,X2,sK1),X3),sK0)
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK5(equivalence_class(sK2,X2,sK1),X3),X4,sK1),X5),X6),X7),sK0) ),
inference(superposition,[status(thm)],[c_1042,c_1338]) ).
tcf(c_2461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(equivalence_class(sK3,X2,sK1),X3)
| subset(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK5(equivalence_class(sK3,X2,sK1),X3),X4,sK1),X5),X6),X7)
| apply(sK1,sK2,sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK5(equivalence_class(sK3,X2,sK1),X3),X4,sK1),X5),X6),X7))
| ~ member(sK5(equivalence_class(sK3,X2,sK1),X3),sK0)
| ~ member(sK5(equivalence_class(X0,equivalence_class(X1,equivalence_class(sK5(equivalence_class(sK3,X2,sK1),X3),X4,sK1),X5),X6),X7),sK0) ),
inference(superposition,[status(thm)],[c_1042,c_1623]) ).
tcf(c_2721,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_2461,c_2460,c_2459,c_2458,c_2457,c_2456,c_2455,c_2454,c_2453,c_2452,c_2205,c_2204,c_2203,c_2032,c_2031,c_2030,c_2029,c_2028,c_2027,c_2026,c_2025,c_2024,c_2023,c_1906,c_1899,c_1898,c_1897,c_1805,c_1788,c_1786,c_1785,c_1623,c_1616,c_1612,c_1611,c_1610,c_1609,c_1532,c_1531,c_1530,c_1500,c_1445,c_1443,c_1442,c_1338,c_1331,c_1327,c_1326,c_1325,c_1324,c_1252,c_1248,c_1247,c_1244,c_1243,c_1183,c_1179,c_1178,c_1175,c_1174,c_1108,c_1044,c_1043,c_1042,c_972,c_971,c_970,c_969,c_968,c_967,c_885,c_884,c_883,c_848,c_797,c_795,c_759,c_758,c_757,c_756,c_718,c_717,c_716,c_675,c_673,c_659,c_657,c_628,c_627,c_626,c_625,c_613,c_612,c_611,c_610,c_548,c_547,c_546,c_499,c_498,c_458,c_457,c_715,c_847,c_189,c_176,c_168,c_162,c_158,c_149,c_64,c_63,c_62,c_61,c_60,c_53,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET770+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 11:55:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.31/1.28 % SZS status Started for theBenchmark.p
% 4.31/1.28 % SZS status Theorem for theBenchmark.p
% 4.31/1.28
% 4.31/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.31/1.28
% 4.31/1.28 % ------ iProver source info
% 4.31/1.28
% 4.31/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.31/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.31/1.28 % git: non_committed_changes: false
% 4.31/1.28
% 4.31/1.28 % ------ Parsing...
% 4.31/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.31/1.28
% 4.31/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.31/1.28
% 4.31/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.31/1.28 % ------ Proving...
% 4.31/1.28 % ------ Problem Properties
% 4.31/1.28
% 4.31/1.28 %
% 4.31/1.28 % clauses 13
% 4.31/1.28 % conjectures 2
% 4.31/1.28 % EPR 5
% 4.31/1.28 % Horn 12
% 4.31/1.28 % unary 4
% 4.31/1.28 % binary 6
% 4.31/1.28 % lits 29
% 4.31/1.28 % lits eq 0
% 4.31/1.28 % fd_pure 0
% 4.31/1.28 % fd_pseudo 0
% 4.31/1.28 % fd_cond 0
% 4.31/1.28 % fd_pseudo_cond 0
% 4.31/1.28 % AC symbols 0
% 4.31/1.28
% 4.31/1.28 % ------ Schedule dynamic 5 is on
% 4.31/1.28
% 4.31/1.28 % ------ no equalities: superposition off
% 4.31/1.28
% 4.31/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.31/1.28
% 4.31/1.28
% 4.31/1.28 % ------
% 4.31/1.28 % Current options:
% 4.31/1.28 % ------
% 4.31/1.28
% 4.31/1.28
% 4.31/1.28 %
% 4.31/1.28
% 4.31/1.28 % ------ Proving...
% 4.31/1.28 %
% 4.31/1.28
% 4.31/1.28 % SZS status Theorem for theBenchmark.p
% 4.31/1.28
% 4.31/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.31/1.28
% 4.31/1.28
%------------------------------------------------------------------------------