TSTP Solution File: SET675+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET675+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:53:04 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 63 ( 8 unt; 0 def)
% Number of atoms : 201 ( 55 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 241 ( 103 ~; 92 |; 12 &)
% ( 1 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-4 aty)
% Number of variables : 129 ( 6 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_relset_1_39,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( image4(X2,X1,X3,inverse4(X2,X1,X3,X1)) = range(X2,X1,X3)
& inverse4(X2,X1,X3,image4(X2,X1,X3,X2)) = domain(X2,X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_relset_1_39) ).
fof(p31,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ! [X4] :
( ilf_type(X4,set_type)
=> image4(X1,X2,X3,X4) = image(X3,X4) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p31) ).
fof(p35,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p35) ).
fof(p3,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( image4(X1,X2,X3,X1) = range(X1,X2,X3)
& inverse4(X1,X2,X3,X2) = domain(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p3) ).
fof(p33,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ! [X4] :
( ilf_type(X4,set_type)
=> inverse4(X1,X2,X3,X4) = inverse2(X3,X4) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p33) ).
fof(p29,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> range(X1,X2,X3) = range_of(X3) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p29) ).
fof(p27,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> domain(X1,X2,X3) = domain_of(X3) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p27) ).
fof(p23,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> relation_like(X3) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p23) ).
fof(p4,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> ilf_type(X3,relation_type(X1,X2)) )
& ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p4) ).
fof(p12,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,binary_relation_type)
<=> ( relation_like(X1)
& ilf_type(X1,set_type) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p12) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> inverse2(X1,range_of(X1)) = domain_of(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p2) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> image(X1,domain_of(X1)) = range_of(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p1) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( image4(X2,X1,X3,inverse4(X2,X1,X3,X1)) = range(X2,X1,X3)
& inverse4(X2,X1,X3,image4(X2,X1,X3,X2)) = domain(X2,X1,X3) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_39]) ).
fof(c_0_13,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X8,set_type)
| image4(X5,X6,X7,X8) = image(X7,X8) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p31])])])])]) ).
fof(c_0_14,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[p35]) ).
fof(c_0_15,plain,
! [X4,X5,X6] :
( ( image4(X4,X5,X6,X4) = range(X4,X5,X6)
| ~ ilf_type(X6,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( inverse4(X4,X5,X6,X5) = domain(X4,X5,X6)
| ~ ilf_type(X6,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])])])]) ).
fof(c_0_16,negated_conjecture,
( ilf_type(esk11_0,set_type)
& ilf_type(esk12_0,set_type)
& ilf_type(esk13_0,relation_type(esk12_0,esk11_0))
& ( image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range(esk12_0,esk11_0,esk13_0)
| inverse4(esk12_0,esk11_0,esk13_0,image4(esk12_0,esk11_0,esk13_0,esk12_0)) != domain(esk12_0,esk11_0,esk13_0) ) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
cnf(c_0_17,plain,
( image4(X1,X2,X3,X4) = image(X3,X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X8,set_type)
| inverse4(X5,X6,X7,X8) = inverse2(X7,X8) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p33])])])])]) ).
fof(c_0_20,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,relation_type(X4,X5))
| range(X4,X5,X6) = range_of(X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p29])])])])]) ).
cnf(c_0_21,plain,
( image4(X1,X2,X3,X1) = range(X1,X2,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( inverse4(esk12_0,esk11_0,esk13_0,image4(esk12_0,esk11_0,esk13_0,esk12_0)) != domain(esk12_0,esk11_0,esk13_0)
| image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range(esk12_0,esk11_0,esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( image4(X1,X2,X3,X4) = image(X3,X4)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]),c_0_18])]) ).
cnf(c_0_24,negated_conjecture,
ilf_type(esk13_0,relation_type(esk12_0,esk11_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( inverse4(X1,X2,X3,X4) = inverse2(X3,X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( image4(X1,X2,X3,X1) = range(X1,X2,X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_18]),c_0_18])]) ).
cnf(c_0_28,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range(esk12_0,esk11_0,esk13_0)
| inverse4(esk12_0,esk11_0,esk13_0,image(esk13_0,esk12_0)) != domain(esk12_0,esk11_0,esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_29,plain,
( inverse4(X1,X2,X3,X4) = inverse2(X3,X4)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_18]),c_0_18]),c_0_18])]) ).
cnf(c_0_30,plain,
( inverse4(X1,X2,X3,X2) = domain(X1,X2,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_31,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_18]),c_0_18])]) ).
cnf(c_0_32,plain,
( range(X1,X2,X3) = image(X3,X1)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_33,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range(esk12_0,esk11_0,esk13_0)
| domain(esk12_0,esk11_0,esk13_0) != inverse2(esk13_0,image(esk13_0,esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24])]) ).
cnf(c_0_34,plain,
( inverse4(X1,X2,X3,X2) = domain(X1,X2,X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_18]),c_0_18])]) ).
cnf(c_0_35,plain,
( image(X1,X2) = range_of(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_36,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,relation_type(X4,X5))
| domain(X4,X5,X6) = domain_of(X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p27])])])])]) ).
cnf(c_0_37,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,domain(esk12_0,esk11_0,esk13_0)) != range(esk12_0,esk11_0,esk13_0)
| domain(esk12_0,esk11_0,esk13_0) != inverse2(esk13_0,image(esk13_0,esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_24])]) ).
cnf(c_0_38,negated_conjecture,
image(esk13_0,esk12_0) = range_of(esk13_0),
inference(spm,[status(thm)],[c_0_35,c_0_24]) ).
cnf(c_0_39,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,domain(esk12_0,esk11_0,esk13_0)) != range(esk12_0,esk11_0,esk13_0)
| domain(esk12_0,esk11_0,esk13_0) != inverse2(esk13_0,range_of(esk13_0)) ),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_18]),c_0_18])]) ).
fof(c_0_42,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,subset_type(cross_product(X4,X5)))
| relation_like(X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p23])])])])]) ).
fof(c_0_43,plain,
! [X5,X6,X7,X8] :
( ( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
| ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( ~ ilf_type(X8,relation_type(X5,X6))
| ilf_type(X8,subset_type(cross_product(X5,X6)))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])])])]) ).
cnf(c_0_44,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,domain_of(esk13_0)) != range(esk12_0,esk11_0,esk13_0)
| inverse2(esk13_0,range_of(esk13_0)) != domain_of(esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_24])]) ).
fof(c_0_45,plain,
! [X2] :
( ( relation_like(X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ilf_type(X2,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ~ relation_like(X2)
| ~ ilf_type(X2,set_type)
| ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p12])])]) ).
cnf(c_0_46,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( range(esk12_0,esk11_0,esk13_0) != image(esk13_0,domain_of(esk13_0))
| inverse2(esk13_0,range_of(esk13_0)) != domain_of(esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_23]),c_0_24])]) ).
fof(c_0_49,plain,
! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| inverse2(X2,range_of(X2)) = domain_of(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])]) ).
fof(c_0_50,plain,
! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| image(X2,domain_of(X2)) = range_of(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])]) ).
cnf(c_0_51,plain,
( ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_18]),c_0_18])]) ).
cnf(c_0_53,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_18]),c_0_18])]) ).
cnf(c_0_54,negated_conjecture,
( image(esk13_0,domain_of(esk13_0)) != range_of(esk13_0)
| inverse2(esk13_0,range_of(esk13_0)) != domain_of(esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_32]),c_0_38]),c_0_24])]) ).
cnf(c_0_55,plain,
( inverse2(X1,range_of(X1)) = domain_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,plain,
( image(X1,domain_of(X1)) = range_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(cn,[status(thm)],[c_0_51]) ).
cnf(c_0_58,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
~ ilf_type(esk13_0,binary_relation_type),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_60,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_18])]) ).
cnf(c_0_61,negated_conjecture,
relation_like(esk13_0),
inference(spm,[status(thm)],[c_0_58,c_0_24]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET675+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 08:06:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.41 # Preprocessing time : 0.019 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 63
% 0.22/1.41 # Proof object clause steps : 38
% 0.22/1.41 # Proof object formula steps : 25
% 0.22/1.41 # Proof object conjectures : 16
% 0.22/1.41 # Proof object clause conjectures : 13
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 14
% 0.22/1.41 # Proof object initial formulas used : 12
% 0.22/1.41 # Proof object generating inferences : 13
% 0.22/1.41 # Proof object simplifying inferences : 46
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 36
% 0.22/1.41 # Removed by relevancy pruning/SinE : 0
% 0.22/1.41 # Initial clauses : 61
% 0.22/1.41 # Removed in clause preprocessing : 1
% 0.22/1.41 # Initial clauses in saturation : 60
% 0.22/1.41 # Processed clauses : 337
% 0.22/1.41 # ...of these trivial : 15
% 0.22/1.41 # ...subsumed : 82
% 0.22/1.41 # ...remaining for further processing : 240
% 0.22/1.41 # Other redundant clauses eliminated : 2
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 3
% 0.22/1.41 # Backward-rewritten : 15
% 0.22/1.41 # Generated clauses : 657
% 0.22/1.41 # ...of the previous two non-trivial : 628
% 0.22/1.41 # Contextual simplify-reflections : 10
% 0.22/1.41 # Paramodulations : 651
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 3
% 0.22/1.41 # Current number of processed clauses : 219
% 0.22/1.41 # Positive orientable unit clauses : 65
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 2
% 0.22/1.41 # Non-unit-clauses : 152
% 0.22/1.41 # Current number of unprocessed clauses: 302
% 0.22/1.41 # ...number of literals in the above : 527
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 18
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 3895
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 3128
% 0.22/1.41 # Non-unit clause-clause subsumptions : 93
% 0.22/1.41 # Unit Clause-clause subsumption calls : 693
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 19
% 0.22/1.41 # BW rewrite match successes : 4
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 14099
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.035 s
% 0.22/1.41 # System time : 0.004 s
% 0.22/1.41 # Total time : 0.039 s
% 0.22/1.41 # Maximum resident set size: 3812 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------