TSTP Solution File: ALG071+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG071+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 : Wed Aug 30 16:01:11 EDT 2023
% Result : Theorem 35.24s 35.27s
% Output : CNFRefutation 35.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 13
% Syntax : Number of formulae : 133 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 414 ( 71 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 556 ( 267 ~; 245 |; 20 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 7 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 225 ( 0 sgn; 36 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
sorti1: $i > $o ).
tff(decl_23,type,
op1: ( $i * $i ) > $i ).
tff(decl_24,type,
sorti2: $i > $o ).
tff(decl_25,type,
op2: ( $i * $i ) > $i ).
tff(decl_26,type,
h: $i > $i ).
tff(decl_27,type,
j: $i > $i ).
tff(decl_28,type,
esk1_1: $i > $i ).
tff(decl_29,type,
esk2_0: $i ).
fof(co1,conjecture,
( ( ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) )
& ! [X2] :
( sorti2(X2)
=> sorti1(j(X2)) ) )
=> ~ ( ! [X3] :
( sorti1(X3)
=> ! [X4] :
( sorti1(X4)
=> h(op1(X3,X4)) = op2(h(X3),h(X4)) ) )
& ! [X5] :
( sorti2(X5)
=> ! [X6] :
( sorti2(X6)
=> j(op2(X5,X6)) = op1(j(X5),j(X6)) ) )
& ! [X7] :
( sorti2(X7)
=> h(j(X7)) = X7 )
& ! [X8] :
( sorti1(X8)
=> j(h(X8)) = X8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax1,axiom,
! [X1] :
( sorti1(X1)
=> ! [X2] :
( sorti1(X2)
=> sorti1(op1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax2,axiom,
! [X1] :
( sorti2(X1)
=> ! [X2] :
( sorti2(X2)
=> sorti2(op2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax3,axiom,
! [X1] :
( sorti1(X1)
=> ? [X2] :
( sorti1(X2)
& op1(X2,op1(X2,X1)) != X1
& op1(X1,op1(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax4,axiom,
~ ! [X1] :
( sorti2(X1)
=> ? [X2] :
( sorti2(X2)
& op2(X2,op2(X2,X1)) != X1
& op2(X1,op2(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(c_0_5,negated_conjecture,
~ ( ( ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) )
& ! [X2] :
( sorti2(X2)
=> sorti1(j(X2)) ) )
=> ~ ( ! [X3] :
( sorti1(X3)
=> ! [X4] :
( sorti1(X4)
=> h(op1(X3,X4)) = op2(h(X3),h(X4)) ) )
& ! [X5] :
( sorti2(X5)
=> ! [X6] :
( sorti2(X6)
=> j(op2(X5,X6)) = op1(j(X5),j(X6)) ) )
& ! [X7] :
( sorti2(X7)
=> h(j(X7)) = X7 )
& ! [X8] :
( sorti1(X8)
=> j(h(X8)) = X8 ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_6,negated_conjecture,
! [X17,X18,X19,X20,X21,X22,X23,X24] :
( ( ~ sorti1(X17)
| sorti2(h(X17)) )
& ( ~ sorti2(X18)
| sorti1(j(X18)) )
& ( ~ sorti1(X19)
| ~ sorti1(X20)
| h(op1(X19,X20)) = op2(h(X19),h(X20)) )
& ( ~ sorti2(X21)
| ~ sorti2(X22)
| j(op2(X21,X22)) = op1(j(X21),j(X22)) )
& ( ~ sorti2(X23)
| h(j(X23)) = X23 )
& ( ~ sorti1(X24)
| j(h(X24)) = X24 ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_7,plain,
! [X9,X10] :
( ~ sorti1(X9)
| ~ sorti1(X10)
| sorti1(op1(X9,X10)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])])]) ).
cnf(c_0_8,negated_conjecture,
( j(h(X1)) = X1
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( h(op1(X1,X2)) = op2(h(X1),h(X2))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( sorti1(op1(X1,X2))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( sorti2(h(X1))
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
! [X11,X12] :
( ~ sorti2(X11)
| ~ sorti2(X12)
| sorti2(op2(X11,X12)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2])])]) ).
cnf(c_0_13,negated_conjecture,
( j(op2(h(X1),h(X2))) = op1(X1,X2)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( h(j(X1)) = X1
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( sorti1(j(X1))
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( sorti2(op2(h(X1),h(X2)))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( j(op2(X1,X2)) = op1(j(X1),j(X2))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( sorti2(op2(X1,X2))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( j(op2(h(X1),X2)) = op1(X1,j(X2))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( sorti2(op2(h(X1),X2))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_14]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( h(op1(j(X1),j(X2))) = op2(X1,X2)
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_17]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( h(op1(X1,j(X2))) = op2(h(X1),X2)
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_19]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( sorti1(op1(j(X1),j(X2)))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_17]),c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( j(op2(X1,h(X2))) = op1(j(X1),X2)
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_25,negated_conjecture,
( op2(h(j(X1)),X2) = op2(X1,X2)
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( j(op2(h(X1),op2(h(X2),h(X3)))) = op1(X1,op1(X2,X3))
| ~ sorti1(X1)
| ~ sorti1(X3)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_9]),c_0_10]) ).
cnf(c_0_27,negated_conjecture,
( sorti2(op2(h(X1),op2(h(X2),h(X3))))
| ~ sorti1(X1)
| ~ sorti1(X3)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_9]),c_0_10]) ).
fof(c_0_28,plain,
! [X13] :
( ( sorti1(esk1_1(X13))
| ~ sorti1(X13) )
& ( op1(esk1_1(X13),op1(esk1_1(X13),X13)) != X13
| ~ sorti1(X13) )
& ( op1(X13,op1(esk1_1(X13),X13)) = esk1_1(X13)
| ~ sorti1(X13) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])]) ).
cnf(c_0_29,negated_conjecture,
( sorti1(op1(j(X1),X2))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_8]),c_0_11]) ).
cnf(c_0_30,negated_conjecture,
( j(op2(X1,h(X2))) = op1(j(h(j(X1))),X2)
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_11]) ).
cnf(c_0_31,negated_conjecture,
( op1(X1,j(h(X2))) = op1(X1,X2)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_19]),c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( h(op1(X1,op1(X2,X3))) = op2(h(X1),op2(h(X2),h(X3)))
| ~ sorti1(X1)
| ~ sorti1(X3)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_26]),c_0_27]) ).
cnf(c_0_33,plain,
( op1(X1,op1(esk1_1(X1),X1)) = esk1_1(X1)
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( sorti1(esk1_1(X1))
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( sorti1(j(op2(X1,h(X2))))
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( h(op1(X1,X2)) = op2(h(X1),h(j(h(X2))))
| ~ sorti1(j(h(X2)))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( sorti2(op2(h(X1),op2(h(X2),op2(X3,X4))))
| ~ sorti2(X4)
| ~ sorti2(X3)
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_23]) ).
fof(c_0_38,plain,
! [X16] :
( sorti2(esk2_0)
& ( ~ sorti2(X16)
| op2(X16,op2(X16,esk2_0)) = esk2_0
| op2(esk2_0,op2(X16,esk2_0)) != X16 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])]) ).
cnf(c_0_39,negated_conjecture,
( op2(h(X1),op2(h(esk1_1(X1)),h(X1))) = h(esk1_1(X1))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( sorti1(j(op2(X1,h(X2))))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_41,negated_conjecture,
( h(op1(j(X1),X2)) = op2(X1,h(j(h(X2))))
| ~ sorti2(X1)
| ~ sorti1(j(h(X2)))
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_36]),c_0_15]),c_0_11]) ).
cnf(c_0_42,negated_conjecture,
( sorti2(op2(h(X1),op2(X2,op2(X3,X4))))
| ~ sorti2(X4)
| ~ sorti2(X3)
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_14]),c_0_15]) ).
cnf(c_0_43,plain,
( op2(X1,op2(X1,esk2_0)) = esk2_0
| ~ sorti2(X1)
| op2(esk2_0,op2(X1,esk2_0)) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( op2(X1,op2(h(esk1_1(j(X1))),X1)) = h(esk1_1(j(X1)))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_14]),c_0_15]) ).
cnf(c_0_45,plain,
sorti2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
( sorti1(j(h(op1(j(X1),X2))))
| ~ sorti2(X1)
| ~ sorti1(j(h(X2)))
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( sorti2(op2(X1,op2(X2,op2(X3,X4))))
| ~ sorti2(X4)
| ~ sorti2(X3)
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_14]),c_0_15]) ).
cnf(c_0_48,negated_conjecture,
( op2(h(esk1_1(j(esk2_0))),op2(h(esk1_1(j(esk2_0))),esk2_0)) = esk2_0
| ~ sorti2(h(esk1_1(j(esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_49,negated_conjecture,
( sorti1(j(h(j(op2(X1,h(X2))))))
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1)
| ~ sorti1(j(h(X2)))
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_30]) ).
cnf(c_0_50,negated_conjecture,
( sorti2(op2(X1,esk2_0))
| ~ sorti2(h(esk1_1(j(esk2_0))))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_45])]) ).
cnf(c_0_51,negated_conjecture,
( sorti1(j(h(j(op2(X1,X2)))))
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_14]),c_0_15]) ).
cnf(c_0_52,negated_conjecture,
( sorti2(op2(X1,esk2_0))
| ~ sorti2(X1)
| ~ sorti1(esk1_1(j(esk2_0))) ),
inference(spm,[status(thm)],[c_0_50,c_0_11]) ).
cnf(c_0_53,negated_conjecture,
( sorti1(j(h(op1(j(X1),j(X2)))))
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_17]) ).
cnf(c_0_54,negated_conjecture,
( sorti2(op2(X1,esk2_0))
| ~ sorti2(X1)
| ~ sorti1(j(esk2_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_34]) ).
cnf(c_0_55,negated_conjecture,
( op1(j(h(X1)),X2) = op1(X1,X2)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_24]),c_0_11]) ).
cnf(c_0_56,negated_conjecture,
( sorti1(op1(X1,j(X2)))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_8]),c_0_11]) ).
cnf(c_0_57,negated_conjecture,
( op1(j(h(X1)),X2) = op1(X1,j(h(X2)))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_24]),c_0_11]),c_0_11]) ).
cnf(c_0_58,negated_conjecture,
( sorti1(j(h(op1(X1,j(X2)))))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_8]),c_0_11]) ).
cnf(c_0_59,plain,
( op1(esk1_1(X1),op1(esk1_1(X1),X1)) != X1
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_60,negated_conjecture,
( sorti2(op2(X1,esk2_0))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_15]),c_0_45])]) ).
cnf(c_0_61,negated_conjecture,
( h(op1(X1,j(X2))) = op2(h(j(h(X1))),X2)
| ~ sorti2(X2)
| ~ sorti1(j(h(X1)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_55]),c_0_15]) ).
cnf(c_0_62,negated_conjecture,
( sorti1(op1(j(h(X1)),X2))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_11]) ).
cnf(c_0_63,negated_conjecture,
( j(h(esk1_1(X1))) = op1(X1,op1(esk1_1(X1),X1))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_39]),c_0_34]) ).
cnf(c_0_64,negated_conjecture,
( sorti1(j(h(op1(j(h(X1)),X2))))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_57]),c_0_11]) ).
cnf(c_0_65,negated_conjecture,
( op1(esk1_1(j(h(X1))),op1(esk1_1(j(h(X1))),X1)) != j(h(X1))
| ~ sorti1(j(h(X1)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_31]),c_0_34]) ).
cnf(c_0_66,negated_conjecture,
( sorti2(h(op1(X1,j(esk2_0))))
| ~ sorti1(j(h(X1)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_45])]),c_0_11]) ).
cnf(c_0_67,negated_conjecture,
( sorti2(op2(op2(h(X1),h(X2)),X3))
| ~ sorti2(X3)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_9]),c_0_10]) ).
cnf(c_0_68,negated_conjecture,
( sorti1(op1(op1(X1,op1(esk1_1(X1),X1)),X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_34]) ).
cnf(c_0_69,negated_conjecture,
( sorti1(j(h(op1(op1(X1,op1(esk1_1(X1),X1)),X2))))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_63]),c_0_34]) ).
cnf(c_0_70,negated_conjecture,
( op1(esk1_1(j(op2(X1,X2))),op1(esk1_1(j(op2(X1,X2))),op1(j(X1),j(X2)))) != j(op2(X1,X2))
| ~ sorti2(X2)
| ~ sorti2(X1)
| ~ sorti1(j(op2(X1,X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_21]),c_0_23]) ).
cnf(c_0_71,negated_conjecture,
( h(op1(j(X1),X2)) = op2(X1,h(X2))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_8]),c_0_11]) ).
cnf(c_0_72,negated_conjecture,
( sorti2(op2(h(X1),esk2_0))
| ~ sorti1(j(h(X1)))
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_22]),c_0_45])]) ).
cnf(c_0_73,negated_conjecture,
( op2(h(X1),h(op1(esk1_1(X1),X1))) = h(esk1_1(X1))
| ~ sorti1(op1(esk1_1(X1),X1))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_33]) ).
cnf(c_0_74,negated_conjecture,
( sorti2(op2(h(op1(X1,X2)),X3))
| ~ sorti2(X3)
| ~ sorti1(j(h(X2)))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_36]) ).
cnf(c_0_75,negated_conjecture,
( op1(j(h(X1)),op1(esk1_1(j(h(X1))),X1)) = esk1_1(j(h(X1)))
| ~ sorti1(j(h(X1)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_31]),c_0_34]) ).
cnf(c_0_76,negated_conjecture,
( sorti1(op1(esk1_1(X1),X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_33]) ).
cnf(c_0_77,negated_conjecture,
( sorti1(j(h(op1(esk1_1(X1),X2))))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_33]) ).
cnf(c_0_78,negated_conjecture,
( op1(esk1_1(j(op2(X1,h(X2)))),op1(esk1_1(j(op2(X1,h(X2)))),op1(j(X1),X2))) != j(op2(X1,h(X2)))
| ~ sorti2(X1)
| ~ sorti1(j(op2(X1,h(X2))))
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_8]),c_0_11]) ).
cnf(c_0_79,negated_conjecture,
( op2(h(j(X1)),h(X2)) = op2(X1,h(X2))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_71]),c_0_15]) ).
cnf(c_0_80,negated_conjecture,
( sorti2(op2(op2(h(X1),h(X2)),h(X3)))
| ~ sorti1(X3)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_9]),c_0_10]) ).
cnf(c_0_81,negated_conjecture,
( sorti2(op2(h(X1),esk2_0))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_8]) ).
cnf(c_0_82,negated_conjecture,
( op2(X1,h(j(X2))) = op2(h(j(X1)),X2)
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_71]),c_0_15]),c_0_15]) ).
cnf(c_0_83,negated_conjecture,
( op2(h(j(h(X1))),h(op1(esk1_1(j(h(X1))),X1))) = h(esk1_1(j(h(X1))))
| ~ sorti1(op1(esk1_1(j(h(X1))),X1))
| ~ sorti1(j(h(X1)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_31]),c_0_34]) ).
cnf(c_0_84,negated_conjecture,
( sorti2(op2(h(esk1_1(j(h(X1)))),X2))
| ~ sorti2(X2)
| ~ sorti1(j(h(X1)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]) ).
cnf(c_0_85,negated_conjecture,
( op1(esk1_1(j(op2(X1,h(X2)))),op1(esk1_1(j(op2(X1,h(X2)))),op1(j(h(j(X1))),X2))) != j(op2(X1,h(X2)))
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1)
| ~ sorti1(j(op2(X1,h(X2))))
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( sorti2(op2(op2(h(X1),op2(X2,X3)),h(X4)))
| ~ sorti2(X3)
| ~ sorti2(X2)
| ~ sorti1(X4)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_21]),c_0_23]) ).
cnf(c_0_87,negated_conjecture,
( sorti2(op2(X1,h(j(esk2_0))))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_45])]),c_0_15]) ).
cnf(c_0_88,negated_conjecture,
( j(h(esk1_1(j(h(X1))))) = op1(j(h(j(h(X1)))),op1(esk1_1(j(h(X1))),X1))
| ~ sorti1(j(h(X1)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_83]),c_0_76]),c_0_11]) ).
cnf(c_0_89,negated_conjecture,
( sorti2(h(esk1_1(X1)))
| ~ sorti2(op2(h(esk1_1(X1)),h(X1)))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_39]) ).
cnf(c_0_90,negated_conjecture,
( sorti2(op2(h(esk1_1(X1)),X2))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_8]) ).
cnf(c_0_91,negated_conjecture,
( op1(esk1_1(op1(j(X1),X2)),op1(esk1_1(op1(j(X1),X2)),op1(j(h(j(X1))),X2))) != op1(j(X1),X2)
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_24]),c_0_29]) ).
cnf(c_0_92,negated_conjecture,
( sorti2(op2(op2(h(X1),op2(X2,X3)),X4))
| ~ sorti2(X3)
| ~ sorti2(X2)
| ~ sorti2(X4)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_14]),c_0_15]) ).
cnf(c_0_93,negated_conjecture,
( sorti2(op2(h(j(X1)),esk2_0))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_82]),c_0_45])]) ).
cnf(c_0_94,negated_conjecture,
( j(h(esk1_1(X1))) = op1(j(h(X1)),op1(esk1_1(X1),X1))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_8]) ).
cnf(c_0_95,negated_conjecture,
( sorti2(h(esk1_1(X1)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_11]) ).
cnf(c_0_96,negated_conjecture,
( op1(esk1_1(op1(j(X1),X2)),op1(esk1_1(op1(j(X1),X2)),j(op2(X1,h(X2))))) != op1(j(X1),X2)
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_30]) ).
cnf(c_0_97,negated_conjecture,
( sorti2(op2(op2(X1,op2(X2,X3)),X4))
| ~ sorti2(X3)
| ~ sorti2(X2)
| ~ sorti2(X4)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_14]),c_0_15]) ).
cnf(c_0_98,negated_conjecture,
( sorti2(op2(h(op1(j(h(X1)),op1(esk1_1(X1),X1))),esk2_0))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( op1(esk1_1(op1(X1,X2)),op1(esk1_1(op1(X1,X2)),j(op2(h(X1),h(X2))))) != op1(X1,X2)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_8]),c_0_11]) ).
cnf(c_0_100,negated_conjecture,
( sorti2(op2(esk2_0,X1))
| ~ sorti2(h(esk1_1(j(esk2_0))))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_48]),c_0_45])]) ).
cnf(c_0_101,negated_conjecture,
( sorti2(op2(h(op1(X1,op1(esk1_1(X1),X1))),esk2_0))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_8]) ).
cnf(c_0_102,negated_conjecture,
( op1(esk1_1(op1(X1,j(X2))),op1(esk1_1(op1(X1,j(X2))),j(op2(h(X1),X2)))) != op1(X1,j(X2))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_14]),c_0_15]) ).
cnf(c_0_103,negated_conjecture,
( sorti2(op2(esk2_0,X1))
| ~ sorti2(X1)
| ~ sorti1(esk1_1(j(esk2_0))) ),
inference(spm,[status(thm)],[c_0_100,c_0_11]) ).
cnf(c_0_104,negated_conjecture,
( sorti2(op2(op2(h(X1),op2(h(esk1_1(X1)),h(X1))),esk2_0))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_32]),c_0_34]) ).
cnf(c_0_105,negated_conjecture,
( op1(esk1_1(op1(j(X1),j(X2))),op1(esk1_1(op1(j(X1),j(X2))),j(op2(X1,X2)))) != op1(j(X1),j(X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_14]),c_0_15]) ).
cnf(c_0_106,negated_conjecture,
( j(op2(X1,X2)) = op1(j(h(j(X1))),j(X2))
| ~ sorti2(h(j(X1)))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
cnf(c_0_107,negated_conjecture,
( sorti2(op2(esk2_0,X1))
| ~ sorti2(X1)
| ~ sorti1(j(esk2_0)) ),
inference(spm,[status(thm)],[c_0_103,c_0_34]) ).
cnf(c_0_108,negated_conjecture,
( sorti2(op2(op2(X1,op2(h(esk1_1(j(X1))),X1)),esk2_0))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_14]),c_0_15]) ).
cnf(c_0_109,negated_conjecture,
( op1(esk1_1(j(op2(X1,X2))),op1(esk1_1(j(op2(X1,X2))),j(op2(h(j(X1)),X2)))) != j(op2(X1,X2))
| ~ sorti2(h(j(X1)))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,negated_conjecture,
( sorti2(op2(esk2_0,X1))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_15]),c_0_45])]) ).
cnf(c_0_111,negated_conjecture,
( sorti2(h(esk1_1(j(X1))))
| ~ sorti2(op2(h(esk1_1(j(X1))),X1))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_14]),c_0_15]) ).
cnf(c_0_112,negated_conjecture,
( sorti2(op2(h(esk1_1(j(X1))),esk2_0))
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_44]) ).
cnf(c_0_113,negated_conjecture,
( op1(esk1_1(j(op2(X1,X2))),op1(esk1_1(j(op2(X1,X2))),j(op2(X1,X2)))) != j(op2(X1,X2))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_14]) ).
cnf(c_0_114,negated_conjecture,
( sorti2(h(esk1_1(j(esk2_0))))
| ~ sorti2(op2(h(esk1_1(j(esk2_0))),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_44]),c_0_45])]) ).
cnf(c_0_115,negated_conjecture,
sorti2(h(esk1_1(j(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_45])]) ).
cnf(c_0_116,negated_conjecture,
( op1(esk1_1(j(esk2_0)),op1(esk1_1(j(esk2_0)),j(esk2_0))) != j(esk2_0)
| ~ sorti2(op2(h(esk1_1(j(esk2_0))),esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_48]),c_0_114]) ).
cnf(c_0_117,negated_conjecture,
( sorti1(j(op2(X1,X2)))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_14]),c_0_15]) ).
cnf(c_0_118,negated_conjecture,
( j(op2(h(X1),op2(h(X2),X3))) = op1(X1,op1(X2,j(X3)))
| ~ sorti2(X3)
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_14]),c_0_15]) ).
cnf(c_0_119,negated_conjecture,
op2(h(esk1_1(j(esk2_0))),op2(h(esk1_1(j(esk2_0))),esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_115])]) ).
cnf(c_0_120,negated_conjecture,
op1(esk1_1(j(esk2_0)),op1(esk1_1(j(esk2_0)),j(esk2_0))) != j(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_112]),c_0_45])]) ).
cnf(c_0_121,negated_conjecture,
( sorti1(j(esk2_0))
| ~ sorti2(op2(h(esk1_1(j(esk2_0))),esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_48]),c_0_114]) ).
cnf(c_0_122,negated_conjecture,
~ sorti1(esk1_1(j(esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_45])]),c_0_120]) ).
cnf(c_0_123,negated_conjecture,
sorti1(j(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_112]),c_0_45])]) ).
cnf(c_0_124,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_34]),c_0_123])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG071+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.17/0.35 % Computer : n028.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 03:36:39 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 35.24/35.27 % Version : CSE_E---1.5
% 35.24/35.27 % Problem : theBenchmark.p
% 35.24/35.27 % Proof found
% 35.24/35.27 % SZS status Theorem for theBenchmark.p
% 35.24/35.27 % SZS output start Proof
% See solution above
% 35.24/35.28 % Total time : 34.680000 s
% 35.24/35.28 % SZS output end Proof
% 35.24/35.28 % Total time : 34.685000 s
%------------------------------------------------------------------------------