%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Thu Sep 24 01:00:49 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 87 ( 7 unt; 0 def)
% Number of atoms : 302 ( 0 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 352 ( 137 ~; 159 |; 36 &)
% ( 15 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 108 ( 10 sgn 49 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_5,axiom,
! [X1] :
( cNothing(X1)
=> ? [X3] : rp(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X1] :
( cNothing(X1)
=> ~ ? [X2] : rp(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_10,axiom,
! [X1] :
( cnotB(X1)
<=> ! [X2] :
( rr(X1,X2)
=> cNothing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_0,axiom,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_7,axiom,
! [X1] :
( cnotA(X1)
<=> ! [X2] :
( rq(X1,X2)
=> cNothing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_4,axiom,
! [X1] :
( cB(X1)
<=> ? [X2] :
( cowlThing(X2)
& rr(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_3,axiom,
! [X1] :
( cAorB(X1)
<=> ? [X2] :
( cowlThing(X2)
& rs(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(the_axiom,conjecture,
( ! [X1] :
( cAorB(X1)
<=> ( cA(X1)
| cB(X1) ) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_2,axiom,
! [X1] :
( cA(X1)
<=> ? [X2] :
( cowlThing(X2)
& rq(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_9,axiom,
! [X1] :
( cnotAorB(X1)
<=> ( cnotA(X1)
& cnotB(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_8,axiom,
! [X1] :
( cnotAorB(X1)
<=> ! [X2] :
( rs(X1,X2)
=> cNothing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(c_0_12,plain,
! [X33] :
( rp(X33,esk10_1(X33))
| ~ cNothing(X33) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])]) ).
fof(c_0_13,plain,
! [X35,X36] :
( ~ rp(X35,X36)
| ~ cNothing(X35) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])])]) ).
fof(c_0_14,plain,
! [X25,X26,X27] :
( ( cnotB(X27)
| ~ cNothing(esk8_1(X27)) )
& ( cnotB(X27)
| rr(X27,esk8_1(X27)) )
& ( cNothing(X26)
| ~ rr(X25,X26)
| ~ cnotB(X25) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])])])])])]) ).
cnf(c_0_15,plain,
( ~ cNothing(X1)
| rp(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( ~ rp(X1,X2)
| ~ cNothing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_18,plain,
! [X21,X22,X23] :
( ( cnotA(X23)
| ~ cNothing(esk7_1(X23)) )
& ( cnotA(X23)
| rq(X23,esk7_1(X23)) )
& ( cNothing(X22)
| ~ rq(X21,X22)
| ~ cnotA(X21) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])])])])])]) ).
cnf(c_0_19,plain,
( ~ rr(X1,X2)
| ~ cnotB(X1)
| cNothing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
~ cNothing(X1),
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_21,plain,
! [X11,X13,X14] :
( ( cB(X13)
| ~ cowlThing(X14)
| ~ rr(X13,X14) )
& ( ~ cB(X11)
| cowlThing(esk5_1(X11)) )
& ( ~ cB(X11)
| rr(X11,esk5_1(X11)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])])])])])]) ).
fof(c_0_22,plain,
! [X15,X17,X18] :
( ( cAorB(X17)
| ~ cowlThing(X18)
| ~ rs(X17,X18) )
& ( ~ cAorB(X15)
| cowlThing(esk6_1(X15)) )
& ( ~ cAorB(X15)
| rs(X15,esk6_1(X15)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])])])])]) ).
fof(c_0_23,plain,
! [X20] :
( ~ cowlNothing(X20)
& cowlThing(X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_17])]) ).
fof(c_0_24,negated_conjecture,
~ ( ! [X1] :
( cAorB(X1)
<=> ( cA(X1)
| cB(X1) ) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
cnf(c_0_25,plain,
( ~ rq(X1,X2)
| ~ cnotA(X1)
| cNothing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X7,X9,X10] :
( ( cA(X9)
| ~ cowlThing(X10)
| ~ rq(X9,X10) )
& ( ~ cA(X7)
| cowlThing(esk4_1(X7)) )
& ( ~ cA(X7)
| rq(X7,esk4_1(X7)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])])])]) ).
cnf(c_0_27,plain,
( ~ rr(X1,X2)
| ~ cnotB(X1) ),
inference(sr,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,plain,
( ~ cB(X1)
| rr(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_29,plain,
! [X37] :
( ( cnotAorB(X37)
| ~ cnotA(X37)
| ~ cnotB(X37) )
& ( ~ cnotAorB(X37)
| cnotA(X37) )
& ( ~ cnotAorB(X37)
| cnotB(X37) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])])]) ).
cnf(c_0_30,plain,
( ~ cowlThing(X2)
| ~ rs(X1,X2)
| cAorB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_32,plain,
! [X29,X30,X31] :
( ( cnotAorB(X31)
| ~ cNothing(esk9_1(X31)) )
& ( cnotAorB(X31)
| rs(X31,esk9_1(X31)) )
& ( cNothing(X30)
| ~ rs(X29,X30)
| ~ cnotAorB(X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])])])])])]) ).
fof(c_0_33,negated_conjecture,
~ ( ! [X1] :
( cAorB(X1)
<=> ( cA(X1)
| cB(X1) ) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_34,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_35,plain,
( ~ rq(X1,X2)
| ~ cnotA(X1) ),
inference(sr,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_36,plain,
( ~ cA(X1)
| rq(X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,plain,
( ~ cB(X1)
| ~ cnotB(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_38,plain,
( ~ cnotAorB(X1)
| cnotB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,plain,
( ~ rs(X1,X2)
| cAorB(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_40,plain,
( cnotAorB(X1)
| rs(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_41,negated_conjecture,
( ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| cA(esk3_0)
| cB(esk3_0)
| cAorB(esk3_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| ~ cAorB(esk3_0)
| ~ cA(esk3_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| ~ cAorB(esk3_0)
| ~ cB(esk3_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| cA(esk3_0)
| cB(esk3_0)
| cAorB(esk3_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ cAorB(esk3_0)
| ~ cA(esk3_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ cAorB(esk3_0)
| ~ cB(esk3_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])]) ).
fof(c_0_42,plain,
! [X19] :
( ( xsd_string(X19)
| xsd_integer(X19) )
& ( ~ xsd_integer(X19)
| ~ xsd_string(X19) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
cnf(c_0_43,plain,
( ~ cA(X1)
| ~ cnotA(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
( ~ cnotAorB(X1)
| cnotA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,plain,
( ~ cowlThing(X2)
| ~ rr(X1,X2)
| cB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_46,plain,
( ~ cB(X1)
| ~ cnotAorB(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
( cAorB(X1)
| cnotAorB(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| cA(esk3_0)
| cB(esk3_0)
| cAorB(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_50,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( ~ cA(X1)
| ~ cnotAorB(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| cA(esk3_0)
| cB(esk3_0)
| cAorB(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,plain,
( ~ rr(X1,X2)
| cB(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_31])]) ).
cnf(c_0_54,plain,
( cnotB(X1)
| rr(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_55,plain,
( ~ cowlThing(X2)
| ~ rq(X1,X2)
| cA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_56,plain,
( ~ cB(X1)
| cAorB(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,negated_conjecture,
( xsd_integer(esk2_0)
| cA(esk3_0)
| cAorB(esk3_0)
| cB(esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_31])]),c_0_49]),c_0_50]) ).
cnf(c_0_58,plain,
( ~ cA(X1)
| cAorB(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_47]) ).
cnf(c_0_59,negated_conjecture,
( xsd_string(esk2_0)
| cA(esk3_0)
| cAorB(esk3_0)
| cB(esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_31])]),c_0_49]),c_0_50]) ).
cnf(c_0_60,plain,
( ~ rs(X1,X2)
| ~ cnotAorB(X1)
| cNothing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_61,plain,
( ~ cnotA(X1)
| ~ cnotB(X1)
| cnotAorB(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_62,plain,
( cB(X1)
| cnotB(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_63,plain,
( ~ rq(X1,X2)
| cA(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_31])]) ).
cnf(c_0_64,plain,
( cnotA(X1)
| rq(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_65,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_66,negated_conjecture,
( xsd_integer(esk2_0)
| cAorB(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_67,negated_conjecture,
( xsd_string(esk2_0)
| cAorB(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_59]),c_0_58]) ).
cnf(c_0_68,plain,
( ~ rs(X1,X2)
| ~ cnotAorB(X1) ),
inference(sr,[status(thm)],[c_0_60,c_0_20]) ).
cnf(c_0_69,plain,
( ~ cAorB(X1)
| rs(X1,esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_70,plain,
( ~ cnotA(X1)
| cB(X1)
| cnotAorB(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_71,plain,
( cA(X1)
| cnotA(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cAorB(esk3_0)
| ~ cB(esk3_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_73,negated_conjecture,
cAorB(esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_74,plain,
( ~ cAorB(X1)
| ~ cnotAorB(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
( cA(X1)
| cB(X1)
| cnotAorB(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cAorB(esk3_0)
| ~ cA(esk3_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_77,negated_conjecture,
( ~ cB(esk3_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_31]),c_0_73])]),c_0_49]),c_0_50]) ).
cnf(c_0_78,plain,
( ~ cAorB(X1)
| cA(X1)
| cB(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,negated_conjecture,
( ~ cA(esk3_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_31])]),c_0_49]),c_0_50]),c_0_67]) ).
cnf(c_0_80,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cAorB(esk3_0)
| ~ cB(esk3_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_81,negated_conjecture,
xsd_string(esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_73])]),c_0_79]) ).
cnf(c_0_82,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cAorB(esk3_0)
| ~ cA(esk3_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_83,negated_conjecture,
( ~ cB(esk3_0)
| xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_31]),c_0_81]),c_0_73])]),c_0_49]) ).
cnf(c_0_84,negated_conjecture,
( ~ cA(esk3_0)
| xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_31]),c_0_81]),c_0_73])]),c_0_49]) ).
cnf(c_0_85,negated_conjecture,
xsd_integer(esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_78]),c_0_73])]),c_0_84]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_85]),c_0_81])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 22:57:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44 % Version: 3.5.1
% 0.11/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44 % Starting sh5l with 300s (1) cores
% 0.11/0.44 % sh5l with pid 1886241 completed with status 0
% 0.11/0.44 % Result found by sh5l
% 0.11/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44 % Starting sh5l with 300s (1) cores
% 0.11/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.11/0.44 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.11/0.44 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.11/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.44 % SubtermCWHack with pid 1886242 completed with status 0
% 0.11/0.44 % Result found by SubtermCWHack
% 0.11/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44 % Starting sh5l with 300s (1) cores
% 0.11/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.11/0.44 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.11/0.44 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.11/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.44 % Preprocessing time : 0.002 s
% 0.11/0.44
% 0.11/0.44 % Proof found!
% 0.11/0.44 % SZS status Theorem
% 0.11/0.44 % SZS output start CNFRefutation
% See solution above
% 0.11/0.44 % Parsed axioms : 12
% 0.11/0.44 % Removed by relevancy pruning/SinE : 0
% 0.11/0.44 % Initial clauses : 33
% 0.11/0.44 % Removed in clause preprocessing : 0
% 0.11/0.44 % Initial clauses in saturation : 33
% 0.11/0.44 % Processed clauses : 51
% 0.11/0.44 % ...of these trivial : 3
% 0.11/0.44 % ...subsumed : 0
% 0.11/0.44 % ...remaining for further processing : 48
% 0.11/0.44 % Other redundant clauses eliminated : 0
% 0.11/0.44 % Clauses deleted for lack of memory : 0
% 0.11/0.44 % Backward-subsumed : 6
% 0.11/0.44 % Backward-rewritten : 6
% 0.11/0.44 % Generated clauses : 34
% 0.11/0.44 % ...of the previous two non-redundant : 18
% 0.11/0.44 % ...aggressively subsumed : 0
% 0.11/0.44 % Contextual simplify-reflections : 11
% 0.11/0.44 % Paramodulations : 34
% 0.11/0.44 % Factorizations : 0
% 0.11/0.44 % NegExts : 0
% 0.11/0.44 % Equation resolutions : 0
% 0.11/0.44 % Disequality decompositions : 0
% 0.11/0.44 % Total rewrite steps : 26
% 0.11/0.44 % ...of those cached : 18
% 0.11/0.44 % Propositional unsat checks : 0
% 0.11/0.44 % Propositional check models : 0
% 0.11/0.44 % Propositional check unsatisfiable : 0
% 0.11/0.44 % Propositional clauses : 0
% 0.11/0.44 % Propositional clauses after purity: 0
% 0.11/0.44 % Propositional unsat core size : 0
% 0.11/0.44 % Propositional preprocessing time : 0.000
% 0.11/0.44 % Propositional encoding time : 0.000
% 0.11/0.44 % Propositional solver time : 0.000
% 0.11/0.44 % Success case prop preproc time : 0.000
% 0.11/0.44 % Success case prop encoding time : 0.000
% 0.11/0.44 % Success case prop solver time : 0.000
% 0.11/0.44 % Current number of processed clauses : 36
% 0.11/0.44 % Positive orientable unit clauses : 4
% 0.11/0.44 % Positive unorientable unit clauses: 0
% 0.11/0.44 % Negative unit clauses : 2
% 0.11/0.44 % Non-unit-clauses : 30
% 0.11/0.44 % Current number of unprocessed clauses: 0
% 0.11/0.44 % ...number of literals in the above : 0
% 0.11/0.44 % Current number of archived formulas : 0
% 0.11/0.44 % Current number of archived clauses : 12
% 0.11/0.44 % Clause-clause subsumption calls (NU) : 667
% 0.11/0.44 % Rec. Clause-clause subsumption calls : 437
% 0.11/0.44 % Non-unit clause-clause subsumptions : 13
% 0.11/0.44 % Unit Clause-clause subsumption calls : 4
% 0.11/0.44 % Rewrite failures with RHS unbound : 0
% 0.11/0.44 % BW rewrite match attempts : 3
% 0.11/0.44 % BW rewrite match successes : 3
% 0.11/0.44 % Condensation attempts : 0
% 0.11/0.44 % Condensation successes : 0
% 0.11/0.44 % Termbank termtop insertions : 2411
% 0.11/0.44 % Search garbage collected termcells : 572
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.007 s
% 0.11/0.44 % System time : 0.002 s
% 0.11/0.44 % Total time : 0.009 s
% 0.11/0.44 % Maximum resident set size: 3640 pages
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.010 s
% 0.11/0.44 % System time : 0.006 s
% 0.11/0.44 % Total time : 0.015 s
% 0.11/0.44 % Maximum resident set size: 4864 pages
% 0.11/0.44 % E exiting
%------------------------------------------------------------------------------