TSTP Solution File: RNG083+1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:15:40 EDT 2023
% Result : Theorem 59.37s 8.15s
% Output : CNFRefutation 59.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 87 ( 20 unt; 0 def)
% Number of atoms : 219 ( 82 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 236 ( 104 ~; 100 |; 21 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn; 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mAMDistr) ).
fof(mMulUnit,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mMulUnit) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mSortsC_01) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mAddZero) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mMulAsso) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mSortsC) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mMulComm) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mSortsB_02) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mAddInvr) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mSortsU) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mMulMnOne) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mAddAsso) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',mAddComm) ).
fof(m__,conjecture,
( sdtasdt0(xx,sz00) = sz00
& sz00 = sdtasdt0(sz00,xx) ),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',m__) ).
fof(m__468,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p',m__468) ).
fof(c_0_15,plain,
! [X12,X13,X14] :
( ( sdtasdt0(X12,sdtpldt0(X13,X14)) = sdtpldt0(sdtasdt0(X12,X13),sdtasdt0(X12,X14))
| ~ aElement0(X12)
| ~ aElement0(X13)
| ~ aElement0(X14) )
& ( sdtasdt0(sdtpldt0(X13,X14),X12) = sdtpldt0(sdtasdt0(X13,X12),sdtasdt0(X14,X12))
| ~ aElement0(X12)
| ~ aElement0(X13)
| ~ aElement0(X14) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(c_0_16,plain,
! [X11] :
( ( sdtasdt0(X11,sz10) = X11
| ~ aElement0(X11) )
& ( X11 = sdtasdt0(sz10,X11)
| ~ aElement0(X11) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])]) ).
cnf(c_0_17,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
fof(c_0_20,plain,
! [X16] :
( ( sdtpldt0(X16,sz00) = X16
| ~ aElement0(X16) )
& ( X16 = sdtpldt0(sz00,X16)
| ~ aElement0(X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(c_0_21,plain,
! [X8,X9,X10] :
( ~ aElement0(X8)
| ~ aElement0(X9)
| ~ aElement0(X10)
| sdtasdt0(sdtasdt0(X8,X9),X10) = sdtasdt0(X8,sdtasdt0(X9,X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
cnf(c_0_22,plain,
( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_23,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_25,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X6,X7] :
( ~ aElement0(X6)
| ~ aElement0(X7)
| sdtasdt0(X6,X7) = sdtasdt0(X7,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_27,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( sdtpldt0(sdtasdt0(X1,sz00),X1) = sdtasdt0(X1,sz10)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_19])]) ).
fof(c_0_29,plain,
! [X4,X5] :
( ~ aElement0(X4)
| ~ aElement0(X5)
| aElement0(sdtasdt0(X4,X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_30,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,plain,
( sdtasdt0(X1,sdtasdt0(sz10,X2)) = sdtasdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_18]),c_0_19])]) ).
cnf(c_0_32,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( sdtasdt0(sz00,sz00) = sdtasdt0(sz00,sz10)
| ~ aElement0(sdtasdt0(sz00,sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_24])]) ).
cnf(c_0_34,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_30]),c_0_19])]) ).
cnf(c_0_36,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_19])]) ).
fof(c_0_37,plain,
! [X17] :
( ( sdtpldt0(X17,smndt0(X17)) = sz00
| ~ aElement0(X17) )
& ( sz00 = sdtpldt0(smndt0(X17),X17)
| ~ aElement0(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])]) ).
cnf(c_0_38,plain,
sdtasdt0(sz00,sz00) = sdtasdt0(sz00,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_24])]) ).
cnf(c_0_39,plain,
( aElement0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_25]),c_0_34]) ).
cnf(c_0_40,plain,
( sdtasdt0(sz10,X1) = sdtasdt0(X1,sz10)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_19])]) ).
cnf(c_0_41,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_42,plain,
! [X25] :
( ~ aElement0(X25)
| aElement0(smndt0(X25)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
cnf(c_0_43,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_34]) ).
cnf(c_0_44,plain,
sdtasdt0(sz10,sdtasdt0(sz00,sz10)) = sdtasdt0(sz00,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_38]),c_0_24])]) ).
cnf(c_0_45,plain,
( aElement0(sdtasdt0(X1,sdtasdt0(X2,sz10)))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_19])]) ).
fof(c_0_46,plain,
! [X15] :
( ( sdtasdt0(smndt0(sz10),X15) = smndt0(X15)
| ~ aElement0(X15) )
& ( smndt0(X15) = sdtasdt0(X15,smndt0(sz10))
| ~ aElement0(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])]) ).
fof(c_0_47,plain,
! [X22,X23,X24] :
( ~ aElement0(X22)
| ~ aElement0(X23)
| ~ aElement0(X24)
| sdtpldt0(sdtpldt0(X22,X23),X24) = sdtpldt0(X22,sdtpldt0(X23,X24)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(c_0_48,plain,
! [X20,X21] :
( ~ aElement0(X20)
| ~ aElement0(X21)
| sdtpldt0(X20,X21) = sdtpldt0(X21,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_49,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_40]),c_0_19])]) ).
cnf(c_0_50,plain,
( smndt0(sz00) = sz00
| ~ aElement0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_41]),c_0_24])]) ).
cnf(c_0_51,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_53,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_43]),c_0_19])]) ).
cnf(c_0_54,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_18]),c_0_24])]) ).
cnf(c_0_55,plain,
( aElement0(sdtasdt0(sz10,sdtasdt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_43]),c_0_19])]) ).
cnf(c_0_56,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_30]),c_0_49]),c_0_19]),c_0_24])]) ).
cnf(c_0_60,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_24])]) ).
cnf(c_0_61,plain,
( sdtasdt0(sdtpldt0(X1,X2),sz10) = sdtpldt0(sdtasdt0(X1,sz10),X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_18]),c_0_19])]) ).
cnf(c_0_62,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_54]),c_0_19]),c_0_24])]) ).
cnf(c_0_63,plain,
( aElement0(sdtasdt0(sz10,smndt0(X1)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_51]) ).
cnf(c_0_65,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_19]),c_0_24])]) ).
cnf(c_0_66,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_60]),c_0_24])]) ).
cnf(c_0_67,plain,
( sdtpldt0(sz00,X1) = sdtasdt0(X1,sz10)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_23]),c_0_62]),c_0_24])]) ).
cnf(c_0_68,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_17]),c_0_34]),c_0_34]) ).
cnf(c_0_69,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_70,plain,
( aElement0(sdtasdt0(sz10,smndt0(X1)))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_51]),c_0_19])]) ).
cnf(c_0_71,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_24]),c_0_19])]) ).
cnf(c_0_72,plain,
( sdtpldt0(X1,sz00) = sdtasdt0(X1,sz10)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_67]),c_0_24])]) ).
cnf(c_0_73,plain,
( sdtpldt0(smndt0(X1),sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(X2,smndt0(sz10)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
aElement0(smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_69]),c_0_19])]) ).
cnf(c_0_75,plain,
( sdtpldt0(sz10,smndt0(sz10)) = sz00
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_71]),c_0_19])]) ).
fof(c_0_76,negated_conjecture,
~ ( sdtasdt0(xx,sz00) = sz00
& sz00 = sdtasdt0(sz00,xx) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_77,plain,
( sdtpldt0(smndt0(X1),sdtasdt0(X1,sz10)) = sz00
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_72]),c_0_66]),c_0_24])]) ).
cnf(c_0_78,plain,
( sdtpldt0(smndt0(X1),sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(X2,smndt0(sz10)))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_79,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_51]),c_0_19])]) ).
fof(c_0_80,negated_conjecture,
( sdtasdt0(xx,sz00) != sz00
| sz00 != sdtasdt0(sz00,xx) ),
inference(fof_nnf,[status(thm)],[c_0_76]) ).
cnf(c_0_81,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_19])]) ).
cnf(c_0_82,negated_conjecture,
( sdtasdt0(xx,sz00) != sz00
| sz00 != sdtasdt0(sz00,xx) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_83,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_81]),c_0_24])]) ).
cnf(c_0_84,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__468]) ).
cnf(c_0_85,negated_conjecture,
sdtasdt0(xx,sz00) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_81]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 19:45:44 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.xuCFQLZV8T/E---3.1_22941.p
% 59.37/8.15 # Version: 3.1pre001
% 59.37/8.15 # Preprocessing class: FSMSSMSSSSSNFFN.
% 59.37/8.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.37/8.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 59.37/8.15 # Starting new_bool_3 with 300s (1) cores
% 59.37/8.15 # Starting new_bool_1 with 300s (1) cores
% 59.37/8.15 # Starting sh5l with 300s (1) cores
% 59.37/8.15 # sh5l with pid 23035 completed with status 0
% 59.37/8.15 # Result found by sh5l
% 59.37/8.15 # Preprocessing class: FSMSSMSSSSSNFFN.
% 59.37/8.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.37/8.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 59.37/8.15 # Starting new_bool_3 with 300s (1) cores
% 59.37/8.15 # Starting new_bool_1 with 300s (1) cores
% 59.37/8.15 # Starting sh5l with 300s (1) cores
% 59.37/8.15 # SinE strategy is gf500_gu_R04_F100_L20000
% 59.37/8.15 # Search class: FHHSF-FFSS21-SFFFFFNN
% 59.37/8.15 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 59.37/8.15 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 181s (1) cores
% 59.37/8.15 # G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with pid 23039 completed with status 0
% 59.37/8.15 # Result found by G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S
% 59.37/8.15 # Preprocessing class: FSMSSMSSSSSNFFN.
% 59.37/8.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.37/8.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 59.37/8.15 # Starting new_bool_3 with 300s (1) cores
% 59.37/8.15 # Starting new_bool_1 with 300s (1) cores
% 59.37/8.15 # Starting sh5l with 300s (1) cores
% 59.37/8.15 # SinE strategy is gf500_gu_R04_F100_L20000
% 59.37/8.15 # Search class: FHHSF-FFSS21-SFFFFFNN
% 59.37/8.15 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 59.37/8.15 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 181s (1) cores
% 59.37/8.15 # Preprocessing time : 0.001 s
% 59.37/8.15 # Presaturation interreduction done
% 59.37/8.15
% 59.37/8.15 # Proof found!
% 59.37/8.15 # SZS status Theorem
% 59.37/8.15 # SZS output start CNFRefutation
% See solution above
% 59.37/8.15 # Parsed axioms : 17
% 59.37/8.15 # Removed by relevancy pruning/SinE : 0
% 59.37/8.15 # Initial clauses : 22
% 59.37/8.15 # Removed in clause preprocessing : 1
% 59.37/8.15 # Initial clauses in saturation : 21
% 59.37/8.15 # Processed clauses : 7356
% 59.37/8.15 # ...of these trivial : 125
% 59.37/8.15 # ...subsumed : 6308
% 59.37/8.15 # ...remaining for further processing : 923
% 59.37/8.15 # Other redundant clauses eliminated : 0
% 59.37/8.15 # Clauses deleted for lack of memory : 0
% 59.37/8.15 # Backward-subsumed : 8
% 59.37/8.15 # Backward-rewritten : 61
% 59.37/8.15 # Generated clauses : 453257
% 59.37/8.15 # ...of the previous two non-redundant : 444289
% 59.37/8.15 # ...aggressively subsumed : 0
% 59.37/8.15 # Contextual simplify-reflections : 428
% 59.37/8.15 # Paramodulations : 453257
% 59.37/8.15 # Factorizations : 0
% 59.37/8.15 # NegExts : 0
% 59.37/8.15 # Equation resolutions : 0
% 59.37/8.15 # Total rewrite steps : 335083
% 59.37/8.15 # Propositional unsat checks : 0
% 59.37/8.15 # Propositional check models : 0
% 59.37/8.15 # Propositional check unsatisfiable : 0
% 59.37/8.15 # Propositional clauses : 0
% 59.37/8.15 # Propositional clauses after purity: 0
% 59.37/8.15 # Propositional unsat core size : 0
% 59.37/8.15 # Propositional preprocessing time : 0.000
% 59.37/8.15 # Propositional encoding time : 0.000
% 59.37/8.15 # Propositional solver time : 0.000
% 59.37/8.15 # Success case prop preproc time : 0.000
% 59.37/8.15 # Success case prop encoding time : 0.000
% 59.37/8.15 # Success case prop solver time : 0.000
% 59.37/8.15 # Current number of processed clauses : 833
% 59.37/8.15 # Positive orientable unit clauses : 56
% 59.37/8.15 # Positive unorientable unit clauses: 0
% 59.37/8.15 # Negative unit clauses : 1
% 59.37/8.15 # Non-unit-clauses : 776
% 59.37/8.15 # Current number of unprocessed clauses: 436949
% 59.37/8.15 # ...number of literals in the above : 2529285
% 59.37/8.15 # Current number of archived formulas : 0
% 59.37/8.15 # Current number of archived clauses : 90
% 59.37/8.15 # Clause-clause subsumption calls (NU) : 267637
% 59.37/8.15 # Rec. Clause-clause subsumption calls : 109661
% 59.37/8.15 # Non-unit clause-clause subsumptions : 6743
% 59.37/8.15 # Unit Clause-clause subsumption calls : 20
% 59.37/8.15 # Rewrite failures with RHS unbound : 0
% 59.37/8.15 # BW rewrite match attempts : 40
% 59.37/8.15 # BW rewrite match successes : 16
% 59.37/8.15 # Condensation attempts : 0
% 59.37/8.15 # Condensation successes : 0
% 59.37/8.15 # Termbank termtop insertions : 10930824
% 59.37/8.15
% 59.37/8.15 # -------------------------------------------------
% 59.37/8.15 # User time : 7.143 s
% 59.37/8.15 # System time : 0.296 s
% 59.37/8.15 # Total time : 7.439 s
% 59.37/8.15 # Maximum resident set size: 1684 pages
% 59.37/8.15
% 59.37/8.15 # -------------------------------------------------
% 59.37/8.15 # User time : 7.143 s
% 59.37/8.15 # System time : 0.299 s
% 59.37/8.15 # Total time : 7.443 s
% 59.37/8.15 # Maximum resident set size: 1692 pages
% 59.37/8.15 % E---3.1 exiting
%------------------------------------------------------------------------------