TSTP Solution File: SEU221+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU221+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 17:04:52 EDT 2023
% Result : Theorem 4.03s 1.17s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 9
% Syntax : Number of formulae : 88 ( 18 unt; 0 def)
% Number of atoms : 457 ( 126 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 622 ( 253 ~; 249 |; 95 &)
% ( 8 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn; 82 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f35,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
=> ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
=> ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
& relation_rng(X0) = relation_dom(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).
fof(f36,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( in(X0,relation_rng(X1))
& one_to_one(X1) )
=> ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).
fof(f38,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_funct_1) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f52,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f53,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f55,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f54]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 )
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f80,plain,
! [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 )
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f79]) ).
fof(f82,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f83,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f82]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( sP0(X2,X3,X0,X1)
<=> ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X2,X3,X0,X1) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f78,f87]) ).
fof(f89,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f53]) ).
fof(f90,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK1(X0) != sK2(X0)
& apply(X0,sK1(X0)) = apply(X0,sK2(X0))
& in(sK2(X0),relation_dom(X0))
& in(sK1(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK1(X0) != sK2(X0)
& apply(X0,sK1(X0)) = apply(X0,sK2(X0))
& in(sK2(X0),relation_dom(X0))
& in(sK1(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f90,f91]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X2,X3,X0,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X2,X3,X0,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X2,X3,X0,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X2,X3,X0,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X2,X3,X0,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X4,X5] :
( ( ( apply(X1,X4) = X5
& in(X4,relation_rng(X0)) )
| apply(X0,X5) != X4
| ~ in(X5,relation_dom(X0)) )
& sP0(X4,X5,X0,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f119]) ).
fof(f121,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X2,X3,X0,X1) )
=> ( ( ( sK15(X0,X1) != apply(X1,sK14(X0,X1))
| ~ in(sK14(X0,X1),relation_rng(X0)) )
& sK14(X0,X1) = apply(X0,sK15(X0,X1))
& in(sK15(X0,X1),relation_dom(X0)) )
| ~ sP0(sK14(X0,X1),sK15(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ( ( sK15(X0,X1) != apply(X1,sK14(X0,X1))
| ~ in(sK14(X0,X1),relation_rng(X0)) )
& sK14(X0,X1) = apply(X0,sK15(X0,X1))
& in(sK15(X0,X1),relation_dom(X0)) )
| ~ sP0(sK14(X0,X1),sK15(X0,X1),X0,X1)
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X4,X5] :
( ( ( apply(X1,X4) = X5
& in(X4,relation_rng(X0)) )
| apply(X0,X5) != X4
| ~ in(X5,relation_dom(X0)) )
& sP0(X4,X5,X0,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f120,f121]) ).
fof(f123,plain,
( ? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( ~ one_to_one(function_inverse(sK16))
& one_to_one(sK16)
& function(sK16)
& relation(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ~ one_to_one(function_inverse(sK16))
& one_to_one(sK16)
& function(sK16)
& relation(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f83,f123]) ).
fof(f131,plain,
! [X3,X0,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f132,plain,
! [X0] :
( one_to_one(X0)
| in(sK1(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f133,plain,
! [X0] :
( one_to_one(X0)
| in(sK2(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f134,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK1(X0)) = apply(X0,sK2(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f135,plain,
! [X0] :
( one_to_one(X0)
| sK1(X0) != sK2(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f136,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f137,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f187,plain,
! [X0,X1] :
( relation_rng(X0) = relation_dom(X1)
| function_inverse(X0) != X1
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f194,plain,
! [X0,X1] :
( apply(X1,apply(function_inverse(X1),X0)) = X0
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f197,plain,
relation(sK16),
inference(cnf_transformation,[],[f124]) ).
fof(f198,plain,
function(sK16),
inference(cnf_transformation,[],[f124]) ).
fof(f199,plain,
one_to_one(sK16),
inference(cnf_transformation,[],[f124]) ).
fof(f200,plain,
~ one_to_one(function_inverse(sK16)),
inference(cnf_transformation,[],[f124]) ).
fof(f212,plain,
! [X0] :
( relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ function(function_inverse(X0))
| ~ relation(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f187]) ).
cnf(c_53,plain,
( sK1(X0) != sK2(X0)
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_54,plain,
( ~ function(X0)
| ~ relation(X0)
| apply(X0,sK1(X0)) = apply(X0,sK2(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_55,plain,
( ~ function(X0)
| ~ relation(X0)
| in(sK2(X0),relation_dom(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_56,plain,
( ~ function(X0)
| ~ relation(X0)
| in(sK1(X0),relation_dom(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_57,plain,
( apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_58,plain,
( ~ function(X0)
| ~ relation(X0)
| function(function_inverse(X0)) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_59,plain,
( ~ function(X0)
| ~ relation(X0)
| relation(function_inverse(X0)) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_115,plain,
( ~ function(function_inverse(X0))
| ~ relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_dom(function_inverse(X0)) = relation_rng(X0) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_117,plain,
( ~ in(X0,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| apply(X1,apply(function_inverse(X1),X0)) = X0 ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_119,negated_conjecture,
~ one_to_one(function_inverse(sK16)),
inference(cnf_transformation,[],[f200]) ).
cnf(c_120,negated_conjecture,
one_to_one(sK16),
inference(cnf_transformation,[],[f199]) ).
cnf(c_121,negated_conjecture,
function(sK16),
inference(cnf_transformation,[],[f198]) ).
cnf(c_122,negated_conjecture,
relation(sK16),
inference(cnf_transformation,[],[f197]) ).
cnf(c_176,plain,
( ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| relation_dom(function_inverse(X0)) = relation_rng(X0) ),
inference(global_subsumption_just,[status(thm)],[c_115,c_59,c_58,c_115]) ).
cnf(c_2576,plain,
( function_inverse(sK16) != X0
| ~ function(X0)
| ~ relation(X0)
| apply(X0,sK1(X0)) = apply(X0,sK2(X0)) ),
inference(resolution_lifted,[status(thm)],[c_54,c_119]) ).
cnf(c_2577,plain,
( ~ function(function_inverse(sK16))
| ~ relation(function_inverse(sK16))
| apply(function_inverse(sK16),sK1(function_inverse(sK16))) = apply(function_inverse(sK16),sK2(function_inverse(sK16))) ),
inference(unflattening,[status(thm)],[c_2576]) ).
cnf(c_2587,plain,
( sK1(X0) != sK2(X0)
| function_inverse(sK16) != X0
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_119]) ).
cnf(c_2588,plain,
( sK1(function_inverse(sK16)) != sK2(function_inverse(sK16))
| ~ function(function_inverse(sK16))
| ~ relation(function_inverse(sK16)) ),
inference(unflattening,[status(thm)],[c_2587]) ).
cnf(c_7396,plain,
( ~ function(sK16)
| ~ relation(sK16)
| relation_dom(function_inverse(sK16)) = relation_rng(sK16) ),
inference(superposition,[status(thm)],[c_120,c_176]) ).
cnf(c_7404,plain,
relation_dom(function_inverse(sK16)) = relation_rng(sK16),
inference(forward_subsumption_resolution,[status(thm)],[c_7396,c_122,c_121]) ).
cnf(c_7455,plain,
( ~ function(function_inverse(sK16))
| ~ relation(function_inverse(sK16))
| in(sK1(function_inverse(sK16)),relation_rng(sK16))
| one_to_one(function_inverse(sK16)) ),
inference(superposition,[status(thm)],[c_7404,c_56]) ).
cnf(c_7456,plain,
( ~ function(function_inverse(sK16))
| ~ relation(function_inverse(sK16))
| in(sK2(function_inverse(sK16)),relation_rng(sK16))
| one_to_one(function_inverse(sK16)) ),
inference(superposition,[status(thm)],[c_7404,c_55]) ).
cnf(c_7473,plain,
( ~ function(function_inverse(sK16))
| ~ relation(function_inverse(sK16))
| in(sK2(function_inverse(sK16)),relation_rng(sK16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7456,c_119]) ).
cnf(c_7477,plain,
( ~ function(function_inverse(sK16))
| ~ relation(function_inverse(sK16))
| in(sK1(function_inverse(sK16)),relation_rng(sK16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7455,c_119]) ).
cnf(c_7778,plain,
( ~ function(sK16)
| ~ relation(sK16)
| function(function_inverse(sK16)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_9320,plain,
( ~ function(sK16)
| ~ relation(sK16)
| relation(function_inverse(sK16)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_12415,plain,
( ~ function(sK16)
| ~ relation(sK16)
| relation_dom(function_inverse(sK16)) = relation_rng(sK16) ),
inference(superposition,[status(thm)],[c_120,c_176]) ).
cnf(c_12423,plain,
relation_dom(function_inverse(sK16)) = relation_rng(sK16),
inference(forward_subsumption_resolution,[status(thm)],[c_12415,c_122,c_121]) ).
cnf(c_12872,plain,
( ~ function(function_inverse(sK16))
| ~ relation(function_inverse(sK16))
| in(sK1(function_inverse(sK16)),relation_rng(sK16))
| one_to_one(function_inverse(sK16)) ),
inference(superposition,[status(thm)],[c_12423,c_56]) ).
cnf(c_12873,plain,
( ~ function(function_inverse(sK16))
| ~ relation(function_inverse(sK16))
| in(sK2(function_inverse(sK16)),relation_rng(sK16))
| one_to_one(function_inverse(sK16)) ),
inference(superposition,[status(thm)],[c_12423,c_55]) ).
cnf(c_12890,plain,
( ~ function(function_inverse(sK16))
| ~ relation(function_inverse(sK16))
| in(sK2(function_inverse(sK16)),relation_rng(sK16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12873,c_119]) ).
cnf(c_12894,plain,
( ~ function(function_inverse(sK16))
| ~ relation(function_inverse(sK16))
| in(sK1(function_inverse(sK16)),relation_rng(sK16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12872,c_119]) ).
cnf(c_13315,plain,
in(sK2(function_inverse(sK16)),relation_rng(sK16)),
inference(global_subsumption_just,[status(thm)],[c_12890,c_122,c_121,c_7473,c_7778,c_9320]) ).
cnf(c_13461,plain,
in(sK1(function_inverse(sK16)),relation_rng(sK16)),
inference(global_subsumption_just,[status(thm)],[c_12894,c_122,c_121,c_7477,c_7778,c_9320]) ).
cnf(c_13984,plain,
( ~ function(sK16)
| ~ relation(sK16)
| ~ one_to_one(sK16)
| apply(sK16,apply(function_inverse(sK16),sK1(function_inverse(sK16)))) = sK1(function_inverse(sK16)) ),
inference(superposition,[status(thm)],[c_13461,c_117]) ).
cnf(c_13985,plain,
( ~ function(sK16)
| ~ relation(sK16)
| ~ one_to_one(sK16)
| apply(sK16,apply(function_inverse(sK16),sK2(function_inverse(sK16)))) = sK2(function_inverse(sK16)) ),
inference(superposition,[status(thm)],[c_13315,c_117]) ).
cnf(c_13987,plain,
apply(sK16,apply(function_inverse(sK16),sK2(function_inverse(sK16)))) = sK2(function_inverse(sK16)),
inference(forward_subsumption_resolution,[status(thm)],[c_13985,c_120,c_122,c_121]) ).
cnf(c_13988,plain,
apply(sK16,apply(function_inverse(sK16),sK1(function_inverse(sK16)))) = sK1(function_inverse(sK16)),
inference(forward_subsumption_resolution,[status(thm)],[c_13984,c_120,c_122,c_121]) ).
cnf(c_15148,plain,
( apply(sK16,X0) != sK2(function_inverse(sK16))
| ~ in(apply(function_inverse(sK16),sK2(function_inverse(sK16))),relation_dom(sK16))
| ~ in(X0,relation_dom(sK16))
| ~ function(sK16)
| ~ relation(sK16)
| ~ one_to_one(sK16)
| apply(function_inverse(sK16),sK2(function_inverse(sK16))) = X0 ),
inference(superposition,[status(thm)],[c_13987,c_57]) ).
cnf(c_15150,plain,
( apply(sK16,X0) != sK2(function_inverse(sK16))
| ~ in(apply(function_inverse(sK16),sK2(function_inverse(sK16))),relation_dom(sK16))
| ~ in(X0,relation_dom(sK16))
| apply(function_inverse(sK16),sK2(function_inverse(sK16))) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_15148,c_120,c_122,c_121]) ).
cnf(c_15465,plain,
( sK1(function_inverse(sK16)) != sK2(function_inverse(sK16))
| ~ in(apply(function_inverse(sK16),sK1(function_inverse(sK16))),relation_dom(sK16))
| ~ in(apply(function_inverse(sK16),sK2(function_inverse(sK16))),relation_dom(sK16))
| apply(function_inverse(sK16),sK1(function_inverse(sK16))) = apply(function_inverse(sK16),sK2(function_inverse(sK16))) ),
inference(superposition,[status(thm)],[c_13988,c_15150]) ).
cnf(c_15662,plain,
apply(function_inverse(sK16),sK1(function_inverse(sK16))) = apply(function_inverse(sK16),sK2(function_inverse(sK16))),
inference(global_subsumption_just,[status(thm)],[c_15465,c_122,c_121,c_2577,c_7778,c_9320]) ).
cnf(c_15668,plain,
apply(sK16,apply(function_inverse(sK16),sK1(function_inverse(sK16)))) = sK2(function_inverse(sK16)),
inference(demodulation,[status(thm)],[c_13987,c_15662]) ).
cnf(c_15669,plain,
sK1(function_inverse(sK16)) = sK2(function_inverse(sK16)),
inference(light_normalisation,[status(thm)],[c_15668,c_13988]) ).
cnf(c_15691,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15669,c_9320,c_7778,c_2588,c_121,c_122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU221+3 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 01:20:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.03/1.17 % SZS status Started for theBenchmark.p
% 4.03/1.17 % SZS status Theorem for theBenchmark.p
% 4.03/1.17
% 4.03/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.03/1.17
% 4.03/1.17 ------ iProver source info
% 4.03/1.17
% 4.03/1.17 git: date: 2023-05-31 18:12:56 +0000
% 4.03/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.03/1.17 git: non_committed_changes: false
% 4.03/1.17 git: last_make_outside_of_git: false
% 4.03/1.17
% 4.03/1.17 ------ Parsing...
% 4.03/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.03/1.17
% 4.03/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.03/1.17
% 4.03/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.03/1.17
% 4.03/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.03/1.17 ------ Proving...
% 4.03/1.17 ------ Problem Properties
% 4.03/1.17
% 4.03/1.17
% 4.03/1.17 clauses 72
% 4.03/1.17 conjectures 4
% 4.03/1.17 EPR 29
% 4.03/1.17 Horn 63
% 4.03/1.17 unary 26
% 4.03/1.17 binary 16
% 4.03/1.17 lits 187
% 4.03/1.17 lits eq 20
% 4.03/1.17 fd_pure 0
% 4.03/1.17 fd_pseudo 0
% 4.03/1.17 fd_cond 1
% 4.03/1.17 fd_pseudo_cond 6
% 4.03/1.17 AC symbols 0
% 4.03/1.17
% 4.03/1.17 ------ Schedule dynamic 5 is on
% 4.03/1.17
% 4.03/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.03/1.17
% 4.03/1.17
% 4.03/1.17 ------
% 4.03/1.17 Current options:
% 4.03/1.17 ------
% 4.03/1.17
% 4.03/1.17
% 4.03/1.17
% 4.03/1.17
% 4.03/1.17 ------ Proving...
% 4.03/1.17
% 4.03/1.17
% 4.03/1.17 % SZS status Theorem for theBenchmark.p
% 4.03/1.17
% 4.03/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.17
% 4.03/1.18
%------------------------------------------------------------------------------