%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS042+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 04:36:13 PM UTC 2026
% Result : Satisfiable 1.28s 1.72s
% Output : Saturation 1.28s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cSatisfiable(X4)
<=> ( ? [X5] :
( rrx3a(X4,X5)
& cc1(X5) )
& ca_Cx1(X4)
& ? [X5] :
( rrx4a(X4,X5)
& cc2(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_6,axiom,
! [X4] :
( ca_Cx1xcomp(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_4,axiom,
! [X4] :
( ca_Cx1(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_16,axiom,
! [X4,X5] :
( rrx4a(X4,X5)
=> rrxa(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(axiom_19,axiom,
! [X4,X5] :
( rrx4a(X4,X5)
=> rrx2a(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(axiom_11,axiom,
! [X4,X5,X7] :
( ( rrx4a(X4,X5)
& rrx4a(X4,X7) )
=> X5 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_9,axiom,
! [X4,X5,X7] :
( ( rrx3a(X4,X5)
& rrx3a(X4,X7) )
=> X5 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_12,axiom,
cSatisfiable(i2003_11_14_17_16_10980),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_3,axiom,
! [X4] :
( ca_Ax2(X4)
<=> ( cc2(X4)
& cc1(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_5,axiom,
! [X4] :
( ca_Cx1xcomp(X4)
<=> ? [X5] :
( rrx3a(X4,X5)
& ca_Ax2(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_17,axiom,
! [X4,X5] :
( rrx3a(X4,X5)
=> rrxa(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(axiom_13,axiom,
! [X4,X5] :
( rrx3a(X4,X5)
=> rrx1a(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(axiom_10,axiom,
! [X4,X5,X7] :
( ( rrx4(X4,X5)
& rrx4(X4,X7) )
=> X5 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_8,axiom,
! [X4,X5,X7] :
( ( rrx3(X4,X5)
& rrx3(X4,X7) )
=> X5 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_7,axiom,
! [X4,X5,X7] :
( ( rrx(X4,X5)
& rrx(X4,X7) )
=> X5 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_20,axiom,
! [X4,X5] :
( rrx4(X4,X5)
=> rrx2(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(axiom_18,axiom,
! [X4,X5] :
( rrx3(X4,X5)
=> rrx1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(axiom_14,axiom,
! [X4,X5] :
( rrx4(X4,X5)
=> rrx(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X4,X5] :
( rrx3(X4,X5)
=> rrx(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(c_0_21,plain,
! [X225,X228,X229,X230] :
( ( rrx3a(X225,esk1_1(X225))
| ~ cSatisfiable(X225) )
& ( cc1(esk1_1(X225))
| ~ cSatisfiable(X225) )
& ( ca_Cx1(X225)
| ~ cSatisfiable(X225) )
& ( rrx4a(X225,esk2_1(X225))
| ~ cSatisfiable(X225) )
& ( cc2(esk2_1(X225))
| ~ cSatisfiable(X225) )
& ( ~ rrx3a(X228,X229)
| ~ cc1(X229)
| ~ ca_Cx1(X228)
| ~ rrx4a(X228,X230)
| ~ cc2(X230)
| cSatisfiable(X228) ) ),
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)],[axiom_2])])])])])]) ).
fof(c_0_22,plain,
! [X240,X241,X242] :
( ( ~ ca_Cx1xcomp(X240)
| ~ ra_Px1(X240,X241) )
& ( ra_Px1(X242,esk5_1(X242))
| ca_Cx1xcomp(X242) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])])])]) ).
fof(c_0_23,plain,
! [X232,X234,X235] :
( ( ~ ca_Cx1(X232)
| ra_Px1(X232,esk3_1(X232)) )
& ( ~ ra_Px1(X234,X235)
| ca_Cx1(X234) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])])])]) ).
fof(c_0_24,plain,
! [X265,X266] :
( ~ rrx4a(X265,X266)
| rrxa(X265,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_16])]) ).
fof(c_0_25,plain,
! [X271,X272] :
( ~ rrx4a(X271,X272)
| rrx2a(X271,X272) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_19])]) ).
fof(c_0_26,plain,
! [X256,X257,X258] :
( ~ rrx4a(X256,X257)
| ~ rrx4a(X256,X258)
| X257 = X258 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])]) ).
fof(c_0_27,plain,
! [X250,X251,X252] :
( ~ rrx3a(X250,X251)
| ~ rrx3a(X250,X252)
| X251 = X252 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
cnf(c_0_28,plain,
( rrx3a(X1,esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_29,plain,
cSatisfiable(i2003_11_14_17_16_10980),
inference(split_conjunct,[status(thm)],[axiom_12]),
[final] ).
fof(c_0_30,plain,
! [X231] :
( ( cc2(X231)
| ~ ca_Ax2(X231) )
& ( cc1(X231)
| ~ ca_Ax2(X231) )
& ( ~ cc2(X231)
| ~ cc1(X231)
| ca_Ax2(X231) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
fof(c_0_31,plain,
! [X236,X238,X239] :
( ( rrx3a(X236,esk4_1(X236))
| ~ ca_Cx1xcomp(X236) )
& ( ca_Ax2(esk4_1(X236))
| ~ ca_Cx1xcomp(X236) )
& ( ~ rrx3a(X238,X239)
| ~ ca_Ax2(X239)
| ca_Cx1xcomp(X238) ) ),
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)],[axiom_5])])])])])]) ).
cnf(c_0_32,plain,
( ~ ca_Cx1xcomp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_33,plain,
( ra_Px1(X1,esk3_1(X1))
| ~ ca_Cx1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
fof(c_0_34,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_35,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_36,plain,
! [X267,X268] :
( ~ rrx3a(X267,X268)
| rrxa(X267,X268) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_17])]) ).
fof(c_0_37,plain,
! [X259,X260] :
( ~ rrx3a(X259,X260)
| rrx1a(X259,X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_13])]) ).
cnf(c_0_38,plain,
( rrxa(X1,X2)
| ~ rrx4a(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]),
[final] ).
cnf(c_0_39,plain,
( rrx4a(X1,esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_40,plain,
( rrx2a(X1,X2)
| ~ rrx4a(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]),
[final] ).
cnf(c_0_41,plain,
( X2 = X3
| ~ rrx4a(X1,X2)
| ~ rrx4a(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]),
[final] ).
cnf(c_0_42,plain,
( X2 = X3
| ~ rrx3a(X1,X2)
| ~ rrx3a(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]),
[final] ).
cnf(c_0_43,plain,
rrx3a(i2003_11_14_17_16_10980,esk1_1(i2003_11_14_17_16_10980)),
inference(spm,[status(thm)],[c_0_28,c_0_29]),
[final] ).
cnf(c_0_44,plain,
( ca_Ax2(X1)
| ~ cc2(X1)
| ~ cc1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]),
[final] ).
cnf(c_0_45,plain,
( cc2(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_46,plain,
( ca_Cx1xcomp(X1)
| ~ rrx3a(X1,X2)
| ~ ca_Ax2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_47,plain,
( ca_Cx1(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_48,plain,
( ra_Px1(X1,esk5_1(X1))
| ca_Cx1xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_49,plain,
( ~ ca_Cx1xcomp(X1)
| ~ ca_Cx1(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]),
[final] ).
cnf(c_0_50,plain,
( ca_Cx1(X1)
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
fof(c_0_51,plain,
! [X253,X254,X255] :
( ~ rrx4(X253,X254)
| ~ rrx4(X253,X255)
| X254 = X255 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
fof(c_0_52,plain,
! [X247,X248,X249] :
( ~ rrx3(X247,X248)
| ~ rrx3(X247,X249)
| X248 = X249 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).
fof(c_0_53,plain,
! [X244,X245,X246] :
( ~ rrx(X244,X245)
| ~ rrx(X244,X246)
| X245 = X246 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
fof(c_0_54,plain,
! [X273,X274] :
( ~ rrx4(X273,X274)
| rrx2(X273,X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_20])]) ).
fof(c_0_55,plain,
! [X269,X270] :
( ~ rrx3(X269,X270)
| rrx1(X269,X270) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_18])]) ).
fof(c_0_56,plain,
! [X261,X262] :
( ~ rrx4(X261,X262)
| rrx(X261,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_14])]) ).
fof(c_0_57,plain,
! [X263,X264] :
( ~ rrx3(X263,X264)
| rrx(X263,X264) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])]) ).
fof(c_0_58,plain,
! [X224] :
( ( ~ xsd_string(X224)
| ~ xsd_integer(X224) )
& ( xsd_integer(X224)
| xsd_string(X224) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
fof(c_0_59,plain,
! [X223] :
( cowlThing(X223)
& ~ cowlNothing(X223) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
cnf(c_0_60,plain,
( rrxa(X1,X2)
| ~ rrx3a(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]),
[final] ).
cnf(c_0_61,plain,
( rrx1a(X1,X2)
| ~ rrx3a(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_62,plain,
( rrxa(X1,esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_63,plain,
( rrx2a(X1,esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]),
[final] ).
cnf(c_0_64,plain,
( X1 = esk2_1(X2)
| ~ rrx4a(X2,X1)
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_39]),
[final] ).
cnf(c_0_65,plain,
( X1 = esk1_1(i2003_11_14_17_16_10980)
| ~ rrx3a(i2003_11_14_17_16_10980,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]),
[final] ).
cnf(c_0_66,plain,
( ca_Ax2(esk2_1(X1))
| ~ cc1(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]),
[final] ).
cnf(c_0_67,plain,
( ca_Cx1xcomp(i2003_11_14_17_16_10980)
| ~ ca_Ax2(esk1_1(i2003_11_14_17_16_10980)) ),
inference(spm,[status(thm)],[c_0_46,c_0_43]),
[final] ).
cnf(c_0_68,plain,
( ca_Cx1xcomp(X1)
| ca_Cx1(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]),
[final] ).
cnf(c_0_69,plain,
( ~ ca_Cx1xcomp(X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]),
[final] ).
cnf(c_0_70,plain,
( cSatisfiable(X1)
| ~ rrx3a(X1,X2)
| ~ cc1(X2)
| ~ ca_Cx1(X1)
| ~ rrx4a(X1,X3)
| ~ cc2(X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_71,plain,
( X2 = X3
| ~ rrx4(X1,X2)
| ~ rrx4(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_72,plain,
( X2 = X3
| ~ rrx3(X1,X2)
| ~ rrx3(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]),
[final] ).
cnf(c_0_73,plain,
( X2 = X3
| ~ rrx(X1,X2)
| ~ rrx(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]),
[final] ).
cnf(c_0_74,plain,
( rrx2(X1,X2)
| ~ rrx4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]),
[final] ).
cnf(c_0_75,plain,
( rrx1(X1,X2)
| ~ rrx3(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]),
[final] ).
cnf(c_0_76,plain,
( rrx(X1,X2)
| ~ rrx4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]),
[final] ).
cnf(c_0_77,plain,
( rrx(X1,X2)
| ~ rrx3(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]),
[final] ).
cnf(c_0_78,plain,
( rrx3a(X1,esk4_1(X1))
| ~ ca_Cx1xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_79,plain,
( cc1(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_80,plain,
( ca_Ax2(esk4_1(X1))
| ~ ca_Cx1xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_81,plain,
( cc2(X1)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]),
[final] ).
cnf(c_0_82,plain,
( cc1(X1)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]),
[final] ).
cnf(c_0_83,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]),
[final] ).
cnf(c_0_84,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]),
[final] ).
cnf(c_0_85,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_59]),
[final] ).
cnf(c_0_86,plain,
rrxa(i2003_11_14_17_16_10980,esk1_1(i2003_11_14_17_16_10980)),
inference(spm,[status(thm)],[c_0_60,c_0_43]),
[final] ).
cnf(c_0_87,plain,
rrx1a(i2003_11_14_17_16_10980,esk1_1(i2003_11_14_17_16_10980)),
inference(spm,[status(thm)],[c_0_61,c_0_43]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS042+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n007.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 20:35:09 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.28/1.72 % SZS output start Saturation
% See solution above
% 1.28/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------