TSTP Solution File: RNG126+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG126+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 13:49:20 EDT 2023
% Result : Theorem 1.82s 1.91s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 59
% Syntax : Number of formulae : 102 ( 24 unt; 46 typ; 0 def)
% Number of atoms : 245 ( 36 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 314 ( 125 ~; 127 |; 45 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 80 ( 38 >; 42 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 8 con; 0-4 aty)
% Number of variables : 78 ( 0 sgn; 44 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aElement0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
sz10: $i ).
tff(decl_25,type,
smndt0: $i > $i ).
tff(decl_26,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_27,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_28,type,
aSet0: $i > $o ).
tff(decl_29,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_30,type,
sdtpldt1: ( $i * $i ) > $i ).
tff(decl_31,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(decl_32,type,
aIdeal0: $i > $o ).
tff(decl_33,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
aNaturalNumber0: $i > $o ).
tff(decl_35,type,
sbrdtbr0: $i > $i ).
tff(decl_36,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_37,type,
doDivides0: ( $i * $i ) > $o ).
tff(decl_38,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff(decl_39,type,
aGcdOfAnd0: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
misRelativelyPrime0: ( $i * $i ) > $o ).
tff(decl_41,type,
slsdtgt0: $i > $i ).
tff(decl_42,type,
xa: $i ).
tff(decl_43,type,
xb: $i ).
tff(decl_44,type,
xc: $i ).
tff(decl_45,type,
xI: $i ).
tff(decl_46,type,
xu: $i ).
tff(decl_47,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk9_1: $i > $i ).
tff(decl_56,type,
esk10_1: $i > $i ).
tff(decl_57,type,
esk11_1: $i > $i ).
tff(decl_58,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk21_0: $i ).
fof(mDefGCD,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ! [X3] :
( aGcdOfAnd0(X3,X1,X2)
<=> ( aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X2)
& ! [X4] :
( ( aDivisorOf0(X4,X1)
& aDivisorOf0(X4,X2) )
=> doDivides0(X4,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefGCD) ).
fof(m__2273,hypothesis,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X1] :
( ( aElementOf0(X1,xI)
& X1 != sz00 )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(mDefDvs,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aElement0(X2)
& doDivides0(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDvs) ).
fof(m__2129,hypothesis,
aGcdOfAnd0(xc,xa,xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2129) ).
fof(m__2091,hypothesis,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
fof(mDefPrIdeal,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( X2 = slsdtgt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(X1,X4) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(m__2373,hypothesis,
( aDivisorOf0(xu,xa)
& aDivisorOf0(xu,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2373) ).
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(m__2174,hypothesis,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
fof(m__2744,hypothesis,
doDivides0(xu,xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2744) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(m__,conjecture,
aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_13,plain,
! [X92,X93,X94,X95,X96] :
( ( aDivisorOf0(X94,X92)
| ~ aGcdOfAnd0(X94,X92,X93)
| ~ aElement0(X92)
| ~ aElement0(X93) )
& ( aDivisorOf0(X94,X93)
| ~ aGcdOfAnd0(X94,X92,X93)
| ~ aElement0(X92)
| ~ aElement0(X93) )
& ( ~ aDivisorOf0(X95,X92)
| ~ aDivisorOf0(X95,X93)
| doDivides0(X95,X94)
| ~ aGcdOfAnd0(X94,X92,X93)
| ~ aElement0(X92)
| ~ aElement0(X93) )
& ( aDivisorOf0(esk17_3(X92,X93,X96),X92)
| ~ aDivisorOf0(X96,X92)
| ~ aDivisorOf0(X96,X93)
| aGcdOfAnd0(X96,X92,X93)
| ~ aElement0(X92)
| ~ aElement0(X93) )
& ( aDivisorOf0(esk17_3(X92,X93,X96),X93)
| ~ aDivisorOf0(X96,X92)
| ~ aDivisorOf0(X96,X93)
| aGcdOfAnd0(X96,X92,X93)
| ~ aElement0(X92)
| ~ aElement0(X93) )
& ( ~ doDivides0(esk17_3(X92,X93,X96),X96)
| ~ aDivisorOf0(X96,X92)
| ~ aDivisorOf0(X96,X93)
| aGcdOfAnd0(X96,X92,X93)
| ~ aElement0(X92)
| ~ aElement0(X93) ) ),
inference(distribute,[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)],[mDefGCD])])])])])]) ).
fof(c_0_14,hypothesis,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X1] :
( ( aElementOf0(X1,xI)
& X1 != sz00 )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
inference(fof_simplification,[status(thm)],[m__2273]) ).
fof(c_0_15,plain,
! [X90,X91] :
( ( aElement0(X91)
| ~ aDivisorOf0(X91,X90)
| ~ aElement0(X90) )
& ( doDivides0(X91,X90)
| ~ aDivisorOf0(X91,X90)
| ~ aElement0(X90) )
& ( ~ aElement0(X91)
| ~ doDivides0(X91,X90)
| aDivisorOf0(X91,X90)
| ~ aElement0(X90) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDvs])])])]) ).
cnf(c_0_16,plain,
( aDivisorOf0(X1,X2)
| ~ aGcdOfAnd0(X1,X3,X2)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,hypothesis,
aGcdOfAnd0(xc,xa,xb),
inference(split_conjunct,[status(thm)],[m__2129]) ).
cnf(c_0_18,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__2091]) ).
cnf(c_0_19,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__2091]) ).
fof(c_0_20,hypothesis,
! [X112] :
( aElementOf0(xu,xI)
& xu != sz00
& ( ~ aElementOf0(X112,xI)
| X112 = sz00
| ~ iLess0(sbrdtbr0(X112),sbrdtbr0(xu)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_21,plain,
! [X100,X101,X102,X104,X105,X106,X108] :
( ( aSet0(X101)
| X101 != slsdtgt0(X100)
| ~ aElement0(X100) )
& ( aElement0(esk18_3(X100,X101,X102))
| ~ aElementOf0(X102,X101)
| X101 != slsdtgt0(X100)
| ~ aElement0(X100) )
& ( sdtasdt0(X100,esk18_3(X100,X101,X102)) = X102
| ~ aElementOf0(X102,X101)
| X101 != slsdtgt0(X100)
| ~ aElement0(X100) )
& ( ~ aElement0(X105)
| sdtasdt0(X100,X105) != X104
| aElementOf0(X104,X101)
| X101 != slsdtgt0(X100)
| ~ aElement0(X100) )
& ( ~ aElementOf0(esk19_2(X100,X106),X106)
| ~ aElement0(X108)
| sdtasdt0(X100,X108) != esk19_2(X100,X106)
| ~ aSet0(X106)
| X106 = slsdtgt0(X100)
| ~ aElement0(X100) )
& ( aElement0(esk20_2(X100,X106))
| aElementOf0(esk19_2(X100,X106),X106)
| ~ aSet0(X106)
| X106 = slsdtgt0(X100)
| ~ aElement0(X100) )
& ( sdtasdt0(X100,esk20_2(X100,X106)) = esk19_2(X100,X106)
| aElementOf0(esk19_2(X100,X106),X106)
| ~ aSet0(X106)
| X106 = slsdtgt0(X100)
| ~ aElement0(X100) ) ),
inference(distribute,[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)],[mDefPrIdeal])])])])])]) ).
fof(c_0_22,plain,
! [X86,X87,X89] :
( ( aElement0(esk16_2(X86,X87))
| ~ doDivides0(X86,X87)
| ~ aElement0(X86)
| ~ aElement0(X87) )
& ( sdtasdt0(X86,esk16_2(X86,X87)) = X87
| ~ doDivides0(X86,X87)
| ~ aElement0(X86)
| ~ aElement0(X87) )
& ( ~ aElement0(X89)
| sdtasdt0(X86,X89) != X87
| doDivides0(X86,X87)
| ~ aElement0(X86)
| ~ aElement0(X87) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).
cnf(c_0_23,plain,
( aElement0(X1)
| ~ aDivisorOf0(X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,hypothesis,
aDivisorOf0(xc,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_25,hypothesis,
aDivisorOf0(xu,xa),
inference(split_conjunct,[status(thm)],[m__2373]) ).
fof(c_0_26,plain,
! [X60,X61,X62,X63,X64] :
( ( aSet0(X60)
| ~ aIdeal0(X60) )
& ( ~ aElementOf0(X62,X60)
| aElementOf0(sdtpldt0(X61,X62),X60)
| ~ aElementOf0(X61,X60)
| ~ aIdeal0(X60) )
& ( ~ aElement0(X63)
| aElementOf0(sdtasdt0(X63,X61),X60)
| ~ aElementOf0(X61,X60)
| ~ aIdeal0(X60) )
& ( aElementOf0(esk9_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( aElement0(esk11_1(X64))
| aElementOf0(esk10_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X64),esk9_1(X64)),X64)
| aElementOf0(esk10_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( aElement0(esk11_1(X64))
| ~ aElementOf0(sdtpldt0(esk9_1(X64),esk10_1(X64)),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X64),esk9_1(X64)),X64)
| ~ aElementOf0(sdtpldt0(esk9_1(X64),esk10_1(X64)),X64)
| ~ aSet0(X64)
| aIdeal0(X64) ) ),
inference(distribute,[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)],[mDefIdeal])])])])])]) ).
cnf(c_0_27,hypothesis,
aElementOf0(xu,xI),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,hypothesis,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[m__2174]) ).
cnf(c_0_29,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[m__2174]) ).
cnf(c_0_30,plain,
( aElementOf0(X3,X4)
| ~ aElement0(X1)
| sdtasdt0(X2,X1) != X3
| X4 != slsdtgt0(X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( sdtasdt0(X1,esk16_2(X1,X2)) = X2
| ~ doDivides0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,hypothesis,
doDivides0(xu,xc),
inference(split_conjunct,[status(thm)],[m__2744]) ).
cnf(c_0_33,hypothesis,
aElement0(xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19])]) ).
cnf(c_0_34,hypothesis,
aElement0(xu),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_25]),c_0_18])]) ).
cnf(c_0_35,plain,
( aElement0(esk16_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,hypothesis,
aElementOf0(xu,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_38,hypothesis,
aIdeal0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(rw,[status(thm)],[c_0_29,c_0_28]) ).
fof(c_0_39,plain,
! [X19,X20] :
( ~ aElement0(X19)
| ~ aElement0(X20)
| sdtasdt0(X19,X20) = sdtasdt0(X20,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_40,plain,
( sdtasdt0(X1,esk18_3(X1,X2,X3)) = X3
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_41,plain,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(X1))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_30])]) ).
cnf(c_0_42,hypothesis,
sdtasdt0(xu,esk16_2(xu,xc)) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_43,hypothesis,
aElement0(esk16_2(xu,xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_44,plain,
( aElement0(esk18_3(X1,X2,X3))
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_45,hypothesis,
( aElementOf0(sdtasdt0(X1,xu),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_46,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
( sdtasdt0(X1,esk18_3(X1,slsdtgt0(X1),X2)) = X2
| ~ aElementOf0(X2,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_48,hypothesis,
aElementOf0(xc,slsdtgt0(xu)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_34]),c_0_43])]) ).
cnf(c_0_49,plain,
( aElement0(esk18_3(X1,slsdtgt0(X1),X2))
| ~ aElementOf0(X2,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_44]) ).
fof(c_0_50,negated_conjecture,
~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_51,hypothesis,
( aElementOf0(sdtasdt0(xu,X1),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_34])]) ).
cnf(c_0_52,hypothesis,
sdtasdt0(xu,esk18_3(xu,slsdtgt0(xu),xc)) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_34])]) ).
cnf(c_0_53,hypothesis,
aElement0(esk18_3(xu,slsdtgt0(xu),xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_48]),c_0_34])]) ).
cnf(c_0_54,negated_conjecture,
~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG126+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 02:03:46 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.59 start to proof: theBenchmark
% 1.82/1.91 % Version : CSE_E---1.5
% 1.82/1.91 % Problem : theBenchmark.p
% 1.82/1.91 % Proof found
% 1.82/1.91 % SZS status Theorem for theBenchmark.p
% 1.82/1.91 % SZS output start Proof
% See solution above
% 1.82/1.91 % Total time : 1.304000 s
% 1.82/1.91 % SZS output end Proof
% 1.82/1.91 % Total time : 1.308000 s
%------------------------------------------------------------------------------