%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS176+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.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 : Tue May 5 04:36:47 PM UTC 2026
% Result : Satisfiable 1.28s 1.73s
% Output : Saturation 1.28s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(esa,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
<=> ? [X4] : model(X4,X2) )
<=> status(X1,X2,esa) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',esa) ).
fof(sap,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
=> ? [X4] : model(X4,X2) )
<=> status(X1,X2,sap) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',sap) ).
fof(unp,axiom,
! [X1,X2] :
( ( ~ ? [X3] : model(X3,X1)
=> ~ ? [X4] : model(X4,X2) )
<=> status(X1,X2,unp) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',unp) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(cax,axiom,
! [X1,X2] :
( ~ ? [X3] : model(X3,X1)
<=> status(X1,X2,cax) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',cax) ).
fof(wth,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) )
& ? [X6] : ~ model(X6,X2) )
<=> status(X1,X2,wth) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',wth) ).
fof(eth,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X1)
& ! [X5] :
( model(X5,X1)
<=> model(X5,X2) ) )
<=> status(X1,X2,eth) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',eth) ).
fof(wec,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) ) )
<=> status(X1,X2,wec) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',wec) ).
fof(wca,axiom,
! [X1,X2] :
( ( ~ ? [X3] : model(X3,X1)
& ? [X4] : model(X4,X2)
& ? [X5] : ~ model(X5,X2) )
<=> status(X1,X2,wca) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',wca) ).
fof(wtc,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X1)
& ! [X5] : model(X5,X2) )
<=> status(X1,X2,wtc) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',wtc) ).
fof(eqv,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
<=> model(X4,X2) ) )
<=> status(X1,X2,eqv) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',eqv) ).
fof(noc,axiom,
! [X1,X2] :
( ( ? [X3] :
( model(X3,X1)
& model(X3,X2) )
& ? [X4] :
( model(X4,X1)
& model(X4,not(X2)) ) )
<=> status(X1,X2,noc) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',noc) ).
fof(tca,axiom,
! [X1,X2] :
( ( ~ ? [X3] : model(X3,X1)
& ! [X4] : model(X4,X2) )
<=> status(X1,X2,tca) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',tca) ).
fof(sca,axiom,
! [X1,X2] :
( ( ~ ? [X3] : model(X3,X1)
& ? [X4] : model(X4,X2) )
<=> status(X1,X2,sca) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',sca) ).
fof(uns,axiom,
! [X1,X2] :
( ( ! [X3] : model(X3,X1)
& ! [X4] : model(X4,not(X2)) )
<=> status(X1,X2,uns) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',uns) ).
fof(tau,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
& model(X3,X2) )
<=> status(X1,X2,tau) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',tau) ).
fof(tac,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] : model(X4,X2) )
<=> status(X1,X2,tac) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',tac) ).
fof(csa,axiom,
! [X1,X2] :
( ? [X3] :
( model(X3,X1)
& model(X3,not(X2)) )
<=> status(X1,X2,csa) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',csa) ).
fof(sat,axiom,
! [X1,X2] :
( ? [X3] :
( model(X3,X1)
& model(X3,X2) )
<=> status(X1,X2,sat) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',sat) ).
fof(c_0_19,plain,
! [X100,X101,X102,X103,X106,X107,X108,X110] :
( ( ~ model(X102,X100)
| ~ model(X103,X101)
| status(X100,X101,esa) )
& ( model(esk5_2(X100,X101),X100)
| model(esk6_2(X100,X101),X101)
| status(X100,X101,esa) )
& ( ~ model(X108,X106)
| model(esk7_2(X106,X107),X107)
| ~ status(X106,X107,esa) )
& ( ~ model(X110,X107)
| model(esk8_2(X106,X107),X106)
| ~ status(X106,X107,esa) ) ),
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)],[esa])])])])])]) ).
fof(c_0_20,plain,
! [X92,X93,X95,X96,X97,X98] :
( ( model(esk3_2(X92,X93),X92)
| status(X92,X93,sap) )
& ( ~ model(X95,X93)
| status(X92,X93,sap) )
& ( ~ status(X96,X97,sap)
| ~ model(X98,X96)
| model(esk4_2(X96,X97),X97) ) ),
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)],[sap])])])])])]) ).
fof(c_0_21,plain,
! [X84,X85,X86,X88,X89,X91] :
( ( ~ model(X86,X84)
| status(X84,X85,unp) )
& ( model(esk1_2(X84,X85),X85)
| status(X84,X85,unp) )
& ( ~ status(X88,X89,unp)
| model(esk2_2(X88,X89),X88)
| ~ model(X91,X89) ) ),
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)],[unp])])])])])]) ).
fof(c_0_22,plain,
! [X118,X119,X121,X122,X123] :
( ( model(esk10_2(X118,X119),X118)
| status(X118,X119,thm) )
& ( ~ model(esk10_2(X118,X119),X119)
| status(X118,X119,thm) )
& ( ~ status(X121,X122,thm)
| ~ model(X123,X121)
| model(X123,X122) ) ),
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)],[thm])])])])])]) ).
fof(c_0_23,plain,
! [X192,X194,X195,X196,X197] :
( ( model(esk30_1(X192),X192)
| status(X192,X194,cax) )
& ( ~ status(X195,X196,cax)
| ~ model(X197,X195) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[cax])])])])]) ).
fof(c_0_24,plain,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) )
& ? [X6] : ~ model(X6,X2) )
<=> status(X1,X2,wth) ),
inference(fof_simplification,[status(thm)],[wth]) ).
fof(c_0_25,plain,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X1)
& ! [X5] :
( model(X5,X1)
<=> model(X5,X2) ) )
<=> status(X1,X2,eth) ),
inference(fof_simplification,[status(thm)],[eth]) ).
fof(c_0_26,plain,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) ) )
<=> status(X1,X2,wec) ),
inference(fof_simplification,[status(thm)],[wec]) ).
fof(c_0_27,plain,
! [X1,X2] :
( ( ~ ? [X3] : model(X3,X1)
& ? [X4] : model(X4,X2)
& ? [X5] : ~ model(X5,X2) )
<=> status(X1,X2,wca) ),
inference(fof_simplification,[status(thm)],[wca]) ).
fof(c_0_28,plain,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X1)
& ! [X5] : model(X5,X2) )
<=> status(X1,X2,wtc) ),
inference(fof_simplification,[status(thm)],[wtc]) ).
cnf(c_0_29,plain,
( model(esk8_2(X3,X2),X3)
| ~ model(X1,X2)
| ~ status(X3,X2,esa) ),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
cnf(c_0_30,plain,
( model(esk5_2(X1,X2),X1)
| model(esk6_2(X1,X2),X2)
| status(X1,X2,esa) ),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
cnf(c_0_31,plain,
( model(esk7_2(X2,X3),X3)
| ~ model(X1,X2)
| ~ status(X2,X3,esa) ),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
cnf(c_0_32,plain,
( model(esk4_2(X1,X2),X2)
| ~ status(X1,X2,sap)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]),
[final] ).
cnf(c_0_33,plain,
( model(esk3_2(X1,X2),X1)
| status(X1,X2,sap) ),
inference(split_conjunct,[status(thm)],[c_0_20]),
[final] ).
cnf(c_0_34,plain,
( model(esk2_2(X1,X2),X1)
| ~ status(X1,X2,unp)
| ~ model(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_35,plain,
( model(esk1_2(X1,X2),X2)
| status(X1,X2,unp) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_36,plain,
( model(X3,X2)
| ~ status(X1,X2,thm)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_37,plain,
( model(esk10_2(X1,X2),X1)
| status(X1,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_38,plain,
( ~ status(X1,X2,cax)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_39,plain,
( model(esk30_1(X1),X1)
| status(X1,X2,cax) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
fof(c_0_40,plain,
! [X180,X181,X182,X184,X185,X186,X187,X189] :
( ( model(esk26_2(X180,X181),X180)
| ~ model(X182,X180)
| ~ model(X184,X181)
| model(X184,X180)
| model(X185,X181)
| status(X180,X181,wth) )
& ( ~ model(esk26_2(X180,X181),X181)
| ~ model(X182,X180)
| ~ model(X184,X181)
| model(X184,X180)
| model(X185,X181)
| status(X180,X181,wth) )
& ( model(esk27_2(X186,X187),X186)
| ~ status(X186,X187,wth) )
& ( ~ model(X189,X186)
| model(X189,X187)
| ~ status(X186,X187,wth) )
& ( model(esk28_2(X186,X187),X187)
| ~ status(X186,X187,wth) )
& ( ~ model(esk28_2(X186,X187),X186)
| ~ status(X186,X187,wth) )
& ( ~ model(esk29_2(X186,X187),X187)
| ~ status(X186,X187,wth) ) ),
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)],[c_0_24])])])])])]) ).
fof(c_0_41,plain,
! [X151,X152,X153,X154,X156,X157,X160,X161] :
( ( ~ model(esk18_2(X151,X152),X151)
| ~ model(esk18_2(X151,X152),X152)
| ~ model(X153,X151)
| model(X154,X151)
| status(X151,X152,eth) )
& ( model(esk18_2(X151,X152),X151)
| model(esk18_2(X151,X152),X152)
| ~ model(X153,X151)
| model(X154,X151)
| status(X151,X152,eth) )
& ( model(esk19_2(X156,X157),X156)
| ~ status(X156,X157,eth) )
& ( ~ model(esk20_2(X156,X157),X156)
| ~ status(X156,X157,eth) )
& ( ~ model(X160,X156)
| model(X160,X157)
| ~ status(X156,X157,eth) )
& ( ~ model(X161,X157)
| model(X161,X156)
| ~ status(X156,X157,eth) ) ),
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)],[c_0_25])])])])])]) ).
fof(c_0_42,plain,
! [X124,X125,X126,X128,X129,X131,X132] :
( ( ~ model(esk11_2(X124,X125),X124)
| ~ model(esk11_2(X124,X125),X125)
| ~ model(X126,X124)
| status(X124,X125,eqv) )
& ( model(esk11_2(X124,X125),X124)
| model(esk11_2(X124,X125),X125)
| ~ model(X126,X124)
| status(X124,X125,eqv) )
& ( model(esk12_2(X128,X129),X128)
| ~ status(X128,X129,eqv) )
& ( ~ model(X131,X128)
| model(X131,X129)
| ~ status(X128,X129,eqv) )
& ( ~ model(X132,X129)
| model(X132,X128)
| ~ status(X128,X129,eqv) ) ),
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)],[eqv])])])])])]) ).
fof(c_0_43,plain,
! [X141,X142,X143,X145,X146,X147,X149] :
( ( model(esk15_2(X141,X142),X141)
| ~ model(X143,X141)
| ~ model(X145,X142)
| model(X145,X141)
| status(X141,X142,wec) )
& ( ~ model(esk15_2(X141,X142),X142)
| ~ model(X143,X141)
| ~ model(X145,X142)
| model(X145,X141)
| status(X141,X142,wec) )
& ( model(esk16_2(X146,X147),X146)
| ~ status(X146,X147,wec) )
& ( ~ model(X149,X146)
| model(X149,X147)
| ~ status(X146,X147,wec) )
& ( model(esk17_2(X146,X147),X147)
| ~ status(X146,X147,wec) )
& ( ~ model(esk17_2(X146,X147),X146)
| ~ status(X146,X147,wec) ) ),
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)],[c_0_26])])])])])]) ).
fof(c_0_44,plain,
! [X214,X215,X217,X218,X219,X220,X221] :
( ( model(esk35_2(X214,X215),X214)
| ~ model(X217,X215)
| model(X218,X215)
| status(X214,X215,wca) )
& ( ~ model(X221,X219)
| ~ status(X219,X220,wca) )
& ( model(esk36_2(X219,X220),X220)
| ~ status(X219,X220,wca) )
& ( ~ model(esk37_2(X219,X220),X220)
| ~ status(X219,X220,wca) ) ),
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)],[c_0_27])])])])])]) ).
fof(c_0_45,plain,
! [X238,X239,X240,X241,X242,X243] :
( ( ~ model(X240,X238)
| ~ model(X240,X239)
| ~ model(X241,X238)
| ~ model(X241,not(X239))
| status(X238,X239,noc) )
& ( model(esk41_2(X242,X243),X242)
| ~ status(X242,X243,noc) )
& ( model(esk41_2(X242,X243),X243)
| ~ status(X242,X243,noc) )
& ( model(esk42_2(X242,X243),X242)
| ~ status(X242,X243,noc) )
& ( model(esk42_2(X242,X243),not(X243))
| ~ status(X242,X243,noc) ) ),
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)],[noc])])])])])]) ).
fof(c_0_46,plain,
! [X170,X171,X172,X173,X175,X176,X179] :
( ( ~ model(X172,X170)
| model(X173,X170)
| ~ model(esk23_2(X170,X171),X171)
| status(X170,X171,wtc) )
& ( model(esk24_2(X175,X176),X175)
| ~ status(X175,X176,wtc) )
& ( ~ model(esk25_2(X175,X176),X175)
| ~ status(X175,X176,wtc) )
& ( model(X179,X176)
| ~ status(X175,X176,wtc) ) ),
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)],[c_0_28])])])])])]) ).
fof(c_0_47,plain,
! [X206,X207,X210,X211,X212,X213] :
( ( model(esk33_2(X206,X207),X206)
| ~ model(esk34_2(X206,X207),X207)
| status(X206,X207,tca) )
& ( ~ model(X212,X210)
| ~ status(X210,X211,tca) )
& ( model(X213,X211)
| ~ status(X210,X211,tca) ) ),
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)],[tca])])])])])]) ).
fof(c_0_48,plain,
! [X198,X199,X201,X202,X203,X204] :
( ( model(esk31_2(X198,X199),X198)
| ~ model(X201,X199)
| status(X198,X199,sca) )
& ( ~ model(X204,X202)
| ~ status(X202,X203,sca) )
& ( model(esk32_2(X202,X203),X203)
| ~ status(X202,X203,sca) ) ),
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)],[sca])])])])])]) ).
fof(c_0_49,plain,
! [X230,X231,X234,X235,X236,X237] :
( ( ~ model(esk39_2(X230,X231),X230)
| ~ model(esk40_2(X230,X231),not(X231))
| status(X230,X231,uns) )
& ( model(X236,X234)
| ~ status(X234,X235,uns) )
& ( model(X237,not(X235))
| ~ status(X234,X235,uns) ) ),
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)],[uns])])])])])]) ).
fof(c_0_50,plain,
! [X162,X163,X166,X167,X168,X169] :
( ( ~ model(esk21_2(X162,X163),X162)
| ~ model(esk22_2(X162,X163),X163)
| status(X162,X163,tau) )
& ( model(X168,X166)
| ~ status(X166,X167,tau) )
& ( model(X169,X167)
| ~ status(X166,X167,tau) ) ),
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)],[tau])])])])])]) ).
fof(c_0_51,plain,
! [X133,X134,X135,X137,X138,X140] :
( ( ~ model(X135,X133)
| ~ model(esk13_2(X133,X134),X134)
| status(X133,X134,tac) )
& ( model(esk14_2(X137,X138),X137)
| ~ status(X137,X138,tac) )
& ( model(X140,X138)
| ~ status(X137,X138,tac) ) ),
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)],[tac])])])])])]) ).
fof(c_0_52,plain,
! [X224,X225,X226,X227,X228] :
( ( ~ model(X226,X224)
| ~ model(X226,not(X225))
| status(X224,X225,csa) )
& ( model(esk38_2(X227,X228),X227)
| ~ status(X227,X228,csa) )
& ( model(esk38_2(X227,X228),not(X228))
| ~ status(X227,X228,csa) ) ),
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)],[csa])])])])])]) ).
fof(c_0_53,plain,
! [X112,X113,X114,X115,X116] :
( ( ~ model(X114,X112)
| ~ model(X114,X113)
| status(X112,X113,sat) )
& ( model(esk9_2(X115,X116),X115)
| ~ status(X115,X116,sat) )
& ( model(esk9_2(X115,X116),X116)
| ~ status(X115,X116,sat) ) ),
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)],[sat])])])])])]) ).
cnf(c_0_54,plain,
( model(esk6_2(X1,X2),X2)
| model(esk5_2(X1,X2),X1)
| model(esk8_2(X1,X2),X1)
| ~ model(X3,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]),
[final] ).
cnf(c_0_55,plain,
( model(esk6_2(X1,X2),X2)
| model(esk5_2(X1,X2),X1)
| model(esk7_2(X1,X2),X2)
| ~ model(X3,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_30]),
[final] ).
cnf(c_0_56,plain,
( model(esk3_2(X1,X2),X1)
| model(esk4_2(X1,X2),X2)
| ~ model(X3,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]),
[final] ).
cnf(c_0_57,plain,
( model(esk1_2(X1,X2),X2)
| model(esk2_2(X1,X2),X1)
| ~ model(X3,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]),
[final] ).
cnf(c_0_58,plain,
( model(esk10_2(X1,X2),X1)
| model(X3,X2)
| ~ model(X3,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]),
[final] ).
cnf(c_0_59,plain,
( model(esk30_1(X1),X1)
| ~ model(X2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_60,plain,
( model(esk26_2(X1,X2),X1)
| model(X4,X1)
| model(X5,X2)
| status(X1,X2,wth)
| ~ model(X3,X1)
| ~ model(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]),
[final] ).
cnf(c_0_61,plain,
( model(X4,X1)
| model(X5,X2)
| status(X1,X2,wth)
| ~ model(esk26_2(X1,X2),X2)
| ~ model(X3,X1)
| ~ model(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]),
[final] ).
cnf(c_0_62,plain,
( model(esk18_2(X1,X2),X1)
| model(esk18_2(X1,X2),X2)
| model(X4,X1)
| status(X1,X2,eth)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]),
[final] ).
cnf(c_0_63,plain,
( model(esk11_2(X1,X2),X1)
| model(esk11_2(X1,X2),X2)
| status(X1,X2,eqv)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_64,plain,
( model(esk15_2(X1,X2),X1)
| model(X4,X1)
| status(X1,X2,wec)
| ~ model(X3,X1)
| ~ model(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]),
[final] ).
cnf(c_0_65,plain,
( model(X4,X1)
| status(X1,X2,eth)
| ~ model(esk18_2(X1,X2),X1)
| ~ model(esk18_2(X1,X2),X2)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]),
[final] ).
cnf(c_0_66,plain,
( model(X4,X1)
| status(X1,X2,wec)
| ~ model(esk15_2(X1,X2),X2)
| ~ model(X3,X1)
| ~ model(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]),
[final] ).
cnf(c_0_67,plain,
( model(esk35_2(X1,X2),X1)
| model(X4,X2)
| status(X1,X2,wca)
| ~ model(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]),
[final] ).
cnf(c_0_68,plain,
( status(X2,X3,noc)
| ~ model(X1,X2)
| ~ model(X1,X3)
| ~ model(X4,X2)
| ~ model(X4,not(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_45]),
[final] ).
cnf(c_0_69,plain,
( status(X1,X2,eqv)
| ~ model(esk11_2(X1,X2),X1)
| ~ model(esk11_2(X1,X2),X2)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_70,plain,
( model(X3,X2)
| status(X2,X4,wtc)
| ~ model(X1,X2)
| ~ model(esk23_2(X2,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]),
[final] ).
cnf(c_0_71,plain,
( model(esk33_2(X1,X2),X1)
| status(X1,X2,tca)
| ~ model(esk34_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]),
[final] ).
cnf(c_0_72,plain,
( model(esk31_2(X1,X2),X1)
| status(X1,X2,sca)
| ~ model(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]),
[final] ).
cnf(c_0_73,plain,
( status(X1,X2,uns)
| ~ model(esk39_2(X1,X2),X1)
| ~ model(esk40_2(X1,X2),not(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_49]),
[final] ).
cnf(c_0_74,plain,
( status(X1,X2,tau)
| ~ model(esk21_2(X1,X2),X1)
| ~ model(esk22_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]),
[final] ).
cnf(c_0_75,plain,
( status(X2,X3,tac)
| ~ model(X1,X2)
| ~ model(esk13_2(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_76,plain,
( status(X2,X3,csa)
| ~ model(X1,X2)
| ~ model(X1,not(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_52]),
[final] ).
cnf(c_0_77,plain,
( status(X2,X3,sat)
| ~ model(X1,X2)
| ~ model(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]),
[final] ).
cnf(c_0_78,plain,
( model(esk42_2(X1,X2),not(X2))
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_45]),
[final] ).
cnf(c_0_79,plain,
( model(esk38_2(X1,X2),not(X2))
| ~ status(X1,X2,csa) ),
inference(split_conjunct,[status(thm)],[c_0_52]),
[final] ).
cnf(c_0_80,plain,
( model(esk42_2(X1,X2),X1)
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_45]),
[final] ).
cnf(c_0_81,plain,
( model(esk41_2(X1,X2),X1)
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_45]),
[final] ).
cnf(c_0_82,plain,
( model(esk41_2(X1,X2),X2)
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_45]),
[final] ).
cnf(c_0_83,plain,
( model(esk38_2(X1,X2),X1)
| ~ status(X1,X2,csa) ),
inference(split_conjunct,[status(thm)],[c_0_52]),
[final] ).
cnf(c_0_84,plain,
( model(esk36_2(X1,X2),X2)
| ~ status(X1,X2,wca) ),
inference(split_conjunct,[status(thm)],[c_0_44]),
[final] ).
cnf(c_0_85,plain,
( status(X2,X4,esa)
| ~ model(X1,X2)
| ~ model(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
cnf(c_0_86,plain,
( model(esk32_2(X1,X2),X2)
| ~ status(X1,X2,sca) ),
inference(split_conjunct,[status(thm)],[c_0_48]),
[final] ).
cnf(c_0_87,plain,
( model(esk28_2(X1,X2),X2)
| ~ status(X1,X2,wth) ),
inference(split_conjunct,[status(thm)],[c_0_40]),
[final] ).
cnf(c_0_88,plain,
( model(esk27_2(X1,X2),X1)
| ~ status(X1,X2,wth) ),
inference(split_conjunct,[status(thm)],[c_0_40]),
[final] ).
cnf(c_0_89,plain,
( model(esk24_2(X1,X2),X1)
| ~ status(X1,X2,wtc) ),
inference(split_conjunct,[status(thm)],[c_0_46]),
[final] ).
cnf(c_0_90,plain,
( model(esk19_2(X1,X2),X1)
| ~ status(X1,X2,eth) ),
inference(split_conjunct,[status(thm)],[c_0_41]),
[final] ).
cnf(c_0_91,plain,
( model(esk17_2(X1,X2),X2)
| ~ status(X1,X2,wec) ),
inference(split_conjunct,[status(thm)],[c_0_43]),
[final] ).
cnf(c_0_92,plain,
( model(X1,X3)
| ~ model(X1,X2)
| ~ status(X2,X3,wth) ),
inference(split_conjunct,[status(thm)],[c_0_40]),
[final] ).
cnf(c_0_93,plain,
( model(X1,X3)
| ~ model(X1,X2)
| ~ status(X2,X3,eth) ),
inference(split_conjunct,[status(thm)],[c_0_41]),
[final] ).
cnf(c_0_94,plain,
( model(X1,X3)
| ~ model(X1,X2)
| ~ status(X2,X3,wec) ),
inference(split_conjunct,[status(thm)],[c_0_43]),
[final] ).
cnf(c_0_95,plain,
( status(X1,X2,thm)
| ~ model(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_96,plain,
( model(esk16_2(X1,X2),X1)
| ~ status(X1,X2,wec) ),
inference(split_conjunct,[status(thm)],[c_0_43]),
[final] ).
cnf(c_0_97,plain,
( model(esk14_2(X1,X2),X1)
| ~ status(X1,X2,tac) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_98,plain,
( model(esk12_2(X1,X2),X1)
| ~ status(X1,X2,eqv) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_99,plain,
( model(esk9_2(X1,X2),X1)
| ~ status(X1,X2,sat) ),
inference(split_conjunct,[status(thm)],[c_0_53]),
[final] ).
cnf(c_0_100,plain,
( model(esk9_2(X1,X2),X2)
| ~ status(X1,X2,sat) ),
inference(split_conjunct,[status(thm)],[c_0_53]),
[final] ).
cnf(c_0_101,plain,
( model(X1,X3)
| ~ model(X1,X2)
| ~ status(X2,X3,eqv) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_102,plain,
( model(X1,X3)
| ~ model(X1,X2)
| ~ status(X3,X2,eth) ),
inference(split_conjunct,[status(thm)],[c_0_41]),
[final] ).
cnf(c_0_103,plain,
( model(X1,X3)
| ~ model(X1,X2)
| ~ status(X3,X2,eqv) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_104,plain,
( model(X1,not(X2))
| ~ status(X3,X2,uns) ),
inference(split_conjunct,[status(thm)],[c_0_49]),
[final] ).
cnf(c_0_105,plain,
( ~ model(esk37_2(X1,X2),X2)
| ~ status(X1,X2,wca) ),
inference(split_conjunct,[status(thm)],[c_0_44]),
[final] ).
cnf(c_0_106,plain,
( ~ model(esk29_2(X1,X2),X2)
| ~ status(X1,X2,wth) ),
inference(split_conjunct,[status(thm)],[c_0_40]),
[final] ).
cnf(c_0_107,plain,
( model(X1,X2)
| ~ status(X2,X3,uns) ),
inference(split_conjunct,[status(thm)],[c_0_49]),
[final] ).
cnf(c_0_108,plain,
( model(X1,X2)
| ~ status(X2,X3,tau) ),
inference(split_conjunct,[status(thm)],[c_0_50]),
[final] ).
cnf(c_0_109,plain,
( ~ model(esk28_2(X1,X2),X1)
| ~ status(X1,X2,wth) ),
inference(split_conjunct,[status(thm)],[c_0_40]),
[final] ).
cnf(c_0_110,plain,
( ~ model(esk25_2(X1,X2),X1)
| ~ status(X1,X2,wtc) ),
inference(split_conjunct,[status(thm)],[c_0_46]),
[final] ).
cnf(c_0_111,plain,
( ~ model(esk20_2(X1,X2),X1)
| ~ status(X1,X2,eth) ),
inference(split_conjunct,[status(thm)],[c_0_41]),
[final] ).
cnf(c_0_112,plain,
( ~ model(esk17_2(X1,X2),X1)
| ~ status(X1,X2,wec) ),
inference(split_conjunct,[status(thm)],[c_0_43]),
[final] ).
cnf(c_0_113,plain,
( status(X2,X3,unp)
| ~ model(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_114,plain,
( model(X1,X2)
| ~ status(X3,X2,tca) ),
inference(split_conjunct,[status(thm)],[c_0_47]),
[final] ).
cnf(c_0_115,plain,
( model(X1,X2)
| ~ status(X3,X2,wtc) ),
inference(split_conjunct,[status(thm)],[c_0_46]),
[final] ).
cnf(c_0_116,plain,
( model(X1,X2)
| ~ status(X3,X2,tau) ),
inference(split_conjunct,[status(thm)],[c_0_50]),
[final] ).
cnf(c_0_117,plain,
( model(X1,X2)
| ~ status(X3,X2,tac) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_118,plain,
( status(X3,X2,sap)
| ~ model(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]),
[final] ).
cnf(c_0_119,plain,
( ~ model(X1,X2)
| ~ status(X2,X3,wca) ),
inference(split_conjunct,[status(thm)],[c_0_44]),
[final] ).
cnf(c_0_120,plain,
( ~ model(X1,X2)
| ~ status(X2,X3,tca) ),
inference(split_conjunct,[status(thm)],[c_0_47]),
[final] ).
cnf(c_0_121,plain,
( ~ model(X1,X2)
| ~ status(X2,X3,sca) ),
inference(split_conjunct,[status(thm)],[c_0_48]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS176+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n006.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:40:16 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.28/1.73 % Version : CSE_E---1.7
% 1.28/1.73 % Problem : theBenchmark.p
% 1.28/1.73 % SZS status Satisfiable for theBenchmark.p
% 1.28/1.73 % SZS output start Saturation
% See solution above
% 1.28/1.73 % Total time : 1.373s
%------------------------------------------------------------------------------