TSTP Solution File: SET675+3 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET675+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 14:35:10 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 46
% Syntax : Number of formulae : 94 ( 9 unt; 34 typ; 0 def)
% Number of atoms : 194 ( 50 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 231 ( 97 ~; 88 |; 12 &)
% ( 1 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 51 ( 28 >; 23 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 6 con; 0-4 aty)
% Number of variables : 123 ( 5 sgn; 62 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
binary_relation_type: $i ).
tff(decl_23,type,
ilf_type: ( $i * $i ) > $o ).
tff(decl_24,type,
domain_of: $i > $i ).
tff(decl_25,type,
image: ( $i * $i ) > $i ).
tff(decl_26,type,
range_of: $i > $i ).
tff(decl_27,type,
inverse2: ( $i * $i ) > $i ).
tff(decl_28,type,
set_type: $i ).
tff(decl_29,type,
relation_type: ( $i * $i ) > $i ).
tff(decl_30,type,
image4: ( $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
range: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
inverse4: ( $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
domain: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
cross_product: ( $i * $i ) > $i ).
tff(decl_35,type,
subset_type: $i > $i ).
tff(decl_36,type,
subset: ( $i * $i ) > $o ).
tff(decl_37,type,
relation_like: $i > $o ).
tff(decl_38,type,
power_set: $i > $i ).
tff(decl_39,type,
member_type: $i > $i ).
tff(decl_40,type,
member: ( $i * $i ) > $o ).
tff(decl_41,type,
empty: $i > $o ).
tff(decl_42,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_43,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_44,type,
esk2_0: $i ).
tff(decl_45,type,
esk3_1: $i > $i ).
tff(decl_46,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk6_1: $i > $i ).
tff(decl_49,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk9_1: $i > $i ).
tff(decl_52,type,
esk10_1: $i > $i ).
tff(decl_53,type,
esk11_0: $i ).
tff(decl_54,type,
esk12_0: $i ).
tff(decl_55,type,
esk13_0: $i ).
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/sandbox/benchmark/theBenchmark.p',p29) ).
fof(p35,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35) ).
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/sandbox/benchmark/theBenchmark.p',prove_relset_1_39) ).
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/sandbox/benchmark/theBenchmark.p',p27) ).
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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',p33) ).
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/sandbox/benchmark/theBenchmark.p',p31) ).
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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',p12) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> inverse2(X1,range_of(X1)) = domain_of(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> image(X1,domain_of(X1)) = range_of(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(c_0_12,plain,
! [X69,X70,X71] :
( ~ ilf_type(X69,set_type)
| ~ ilf_type(X70,set_type)
| ~ ilf_type(X71,relation_type(X69,X70))
| range(X69,X70,X71) = range_of(X71) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p29])])]) ).
fof(c_0_13,plain,
! [X91] : ilf_type(X91,set_type),
inference(variable_rename,[status(thm)],[p35]) ).
fof(c_0_14,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_15,plain,
! [X63,X64,X65] :
( ~ ilf_type(X63,set_type)
| ~ ilf_type(X64,set_type)
| ~ ilf_type(X65,relation_type(X63,X64))
| domain(X63,X64,X65) = domain_of(X65) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p27])])]) ).
cnf(c_0_16,plain,
( range(X1,X2,X3) = range_of(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_12]) ).
cnf(c_0_17,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_19,plain,
( domain(X1,X2,X3) = domain_of(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_20,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_16,c_0_17]),c_0_17])]) ).
cnf(c_0_21,negated_conjecture,
ilf_type(esk13_0,relation_type(esk12_0,esk11_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,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_19,c_0_17]),c_0_17])]) ).
fof(c_0_23,plain,
! [X7,X8,X9] :
( ( image4(X7,X8,X9,X7) = range(X7,X8,X9)
| ~ ilf_type(X9,relation_type(X7,X8))
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type) )
& ( inverse4(X7,X8,X9,X8) = domain(X7,X8,X9)
| ~ ilf_type(X9,relation_type(X7,X8))
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])]) ).
cnf(c_0_24,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,image4(esk12_0,esk11_0,esk13_0,esk12_0)) != domain(esk12_0,esk11_0,esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
range(esk12_0,esk11_0,esk13_0) = range_of(esk13_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
domain(esk12_0,esk11_0,esk13_0) = domain_of(esk13_0),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_27,plain,
( image4(X1,X2,X3,X1) = range(X1,X2,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_23]) ).
cnf(c_0_28,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range_of(esk13_0)
| inverse4(esk12_0,esk11_0,esk13_0,image4(esk12_0,esk11_0,esk13_0,esk12_0)) != domain_of(esk13_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,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_27,c_0_17]),c_0_17])]) ).
cnf(c_0_30,plain,
( inverse4(X1,X2,X3,X2) = domain(X1,X2,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_23]) ).
fof(c_0_31,plain,
! [X83,X84,X85,X86] :
( ~ ilf_type(X83,set_type)
| ~ ilf_type(X84,set_type)
| ~ ilf_type(X85,relation_type(X83,X84))
| ~ ilf_type(X86,set_type)
| inverse4(X83,X84,X85,X86) = inverse2(X85,X86) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p33])])]) ).
cnf(c_0_32,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range_of(esk13_0)
| inverse4(esk12_0,esk11_0,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_28,c_0_29]),c_0_25]),c_0_21])]) ).
cnf(c_0_33,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_17]),c_0_17])]) ).
cnf(c_0_34,plain,
( inverse4(X1,X2,X3,X4) = inverse2(X3,X4)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X4,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_35,plain,
! [X75,X76,X77,X78] :
( ~ ilf_type(X75,set_type)
| ~ ilf_type(X76,set_type)
| ~ ilf_type(X77,relation_type(X75,X76))
| ~ ilf_type(X78,set_type)
| image4(X75,X76,X77,X78) = image(X77,X78) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p31])])]) ).
fof(c_0_36,plain,
! [X54,X55,X56] :
( ~ ilf_type(X54,set_type)
| ~ ilf_type(X55,set_type)
| ~ ilf_type(X56,subset_type(cross_product(X54,X55)))
| relation_like(X56) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p23])])]) ).
fof(c_0_37,plain,
! [X10,X11,X12,X13] :
( ( ~ ilf_type(X12,subset_type(cross_product(X10,X11)))
| ilf_type(X12,relation_type(X10,X11))
| ~ ilf_type(X11,set_type)
| ~ ilf_type(X10,set_type) )
& ( ~ ilf_type(X13,relation_type(X10,X11))
| ilf_type(X13,subset_type(cross_product(X10,X11)))
| ~ ilf_type(X11,set_type)
| ~ ilf_type(X10,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])]) ).
cnf(c_0_38,negated_conjecture,
( image4(esk12_0,esk11_0,esk13_0,domain_of(esk13_0)) != range_of(esk13_0)
| inverse4(esk12_0,esk11_0,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_32,c_0_33]),c_0_26]),c_0_21])]) ).
cnf(c_0_39,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_34,c_0_17]),c_0_17]),c_0_17])]) ).
cnf(c_0_40,plain,
( image4(X1,X2,X3,X4) = image(X3,X4)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X4,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_41,plain,
! [X27] :
( ( relation_like(X27)
| ~ ilf_type(X27,binary_relation_type)
| ~ ilf_type(X27,set_type) )
& ( ilf_type(X27,set_type)
| ~ ilf_type(X27,binary_relation_type)
| ~ ilf_type(X27,set_type) )
& ( ~ relation_like(X27)
| ~ ilf_type(X27,set_type)
| ilf_type(X27,binary_relation_type)
| ~ ilf_type(X27,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p12])])]) ).
cnf(c_0_42,plain,
( relation_like(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( image4(esk12_0,esk11_0,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(spm,[status(thm)],[c_0_38,c_0_39]),c_0_21])]) ).
cnf(c_0_45,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_40,c_0_17]),c_0_17]),c_0_17])]) ).
fof(c_0_46,plain,
! [X6] :
( ~ ilf_type(X6,binary_relation_type)
| inverse2(X6,range_of(X6)) = domain_of(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])]) ).
fof(c_0_47,plain,
! [X5] :
( ~ ilf_type(X5,binary_relation_type)
| image(X5,domain_of(X5)) = range_of(X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])]) ).
cnf(c_0_48,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,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_42,c_0_17]),c_0_17])]) ).
cnf(c_0_50,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_43,c_0_17]),c_0_17])]) ).
cnf(c_0_51,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(spm,[status(thm)],[c_0_44,c_0_45]),c_0_21])]) ).
cnf(c_0_52,plain,
( inverse2(X1,range_of(X1)) = domain_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
( image(X1,domain_of(X1)) = range_of(X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
inference(cn,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
~ ilf_type(esk13_0,binary_relation_type),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_57,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_17])]) ).
cnf(c_0_58,negated_conjecture,
relation_like(esk13_0),
inference(spm,[status(thm)],[c_0_55,c_0_21]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET675+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34 % CPULimit : 300
% 0.20/0.34 % WCLimit : 300
% 0.20/0.34 % DateTime : Sat Aug 26 16:19:48 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.017000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.020000 s
%------------------------------------------------------------------------------