%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS046+1 : TPTP v9.2.1. Released v3.1.0.
% 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 : 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 : Tue May 5 04:36:14 PM UTC 2026
% Result : Satisfiable 1.27s 1.72s
% Output : Saturation 1.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,axiom,
! [X4,X5] :
( rinvR(X4,X5)
<=> rr(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_2,axiom,
! [X4] :
( cSatisfiable(X4)
<=> ( ? [X5] :
( rinvF(X4,X5)
& ca(X5) )
& caxcomp(X4)
& ? [X5] :
( rinvR(X4,X5)
& ca_Vx2(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_7,axiom,
! [X4,X5] :
( rinvF(X4,X5)
<=> rf(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_5,axiom,
! [X4] :
( ca_Vx2(X4)
<=> ? [X5] :
( rinvF(X4,X5)
& ca(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_9,axiom,
! [X4,X5,X8] :
( ( rr(X4,X5)
& rr(X5,X8) )
=> rr(X4,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_11,axiom,
! [X4,X5] :
( rf(X4,X5)
=> rr(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_3,axiom,
! [X4] :
( ca(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X4] :
( caxcomp(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_6,axiom,
! [X4] :
( cowlThing(X4)
=> ! [X6,X7] :
( ( rf(X4,X6)
& rf(X4,X7) )
=> X6 = X7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_10,axiom,
cSatisfiable(i2003_11_14_17_16_25617),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(c_0_12,plain,
! [X149,X150] :
( ( ~ rinvR(X149,X150)
| rr(X150,X149) )
& ( ~ rr(X150,X149)
| rinvR(X149,X150) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).
fof(c_0_13,plain,
! [X126,X129,X130,X131] :
( ( rinvF(X126,esk1_1(X126))
| ~ cSatisfiable(X126) )
& ( ca(esk1_1(X126))
| ~ cSatisfiable(X126) )
& ( caxcomp(X126)
| ~ cSatisfiable(X126) )
& ( rinvR(X126,esk2_1(X126))
| ~ cSatisfiable(X126) )
& ( ca_Vx2(esk2_1(X126))
| ~ cSatisfiable(X126) )
& ( ~ rinvF(X129,X130)
| ~ ca(X130)
| ~ caxcomp(X129)
| ~ rinvR(X129,X131)
| ~ ca_Vx2(X131)
| cSatisfiable(X129) ) ),
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_14,plain,
! [X147,X148] :
( ( ~ rinvF(X147,X148)
| rf(X148,X147) )
& ( ~ rf(X148,X147)
| rinvF(X147,X148) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
fof(c_0_15,plain,
! [X140,X142,X143] :
( ( rinvF(X140,esk5_1(X140))
| ~ ca_Vx2(X140) )
& ( ca(esk5_1(X140))
| ~ ca_Vx2(X140) )
& ( ~ rinvF(X142,X143)
| ~ ca(X143)
| ca_Vx2(X142) ) ),
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])])])])])]) ).
fof(c_0_16,plain,
! [X151,X152,X153] :
( ~ rr(X151,X152)
| ~ rr(X152,X153)
| rr(X151,X153) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
cnf(c_0_17,plain,
( rr(X2,X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]),
[final] ).
cnf(c_0_18,plain,
( rinvR(X1,esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
fof(c_0_19,plain,
! [X154,X155] :
( ~ rf(X154,X155)
| rr(X154,X155) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])]) ).
cnf(c_0_20,plain,
( rf(X2,X1)
| ~ rinvF(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
cnf(c_0_21,plain,
( rinvF(X1,esk5_1(X1))
| ~ ca_Vx2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
cnf(c_0_22,plain,
( rr(X1,X3)
| ~ rr(X1,X2)
| ~ rr(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]),
[final] ).
cnf(c_0_23,plain,
( rr(esk2_1(X1),X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]),
[final] ).
cnf(c_0_24,plain,
( rr(X1,X2)
| ~ rf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
cnf(c_0_25,plain,
( rf(esk5_1(X1),X1)
| ~ ca_Vx2(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]),
[final] ).
cnf(c_0_26,plain,
( rr(X1,X2)
| ~ rr(X1,esk2_1(X2))
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]),
[final] ).
cnf(c_0_27,plain,
( rr(esk5_1(X1),X1)
| ~ ca_Vx2(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]),
[final] ).
cnf(c_0_28,plain,
( ca_Vx2(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
cnf(c_0_29,plain,
( rinvF(X1,esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
fof(c_0_30,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_31,plain,
! [X132,X133,X134] :
( ( ~ ca(X132)
| ~ ra_Px1(X132,X133) )
& ( ra_Px1(X134,esk3_1(X134))
| ca(X134) ) ),
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_3])])])])]) ).
fof(c_0_32,plain,
! [X136,X138,X139] :
( ( ~ caxcomp(X136)
| ra_Px1(X136,esk4_1(X136)) )
& ( ~ ra_Px1(X138,X139)
| caxcomp(X138) ) ),
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])])])])]) ).
cnf(c_0_33,plain,
( rr(esk5_1(esk2_1(X1)),X1)
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[final] ).
cnf(c_0_34,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]),
[final] ).
cnf(c_0_35,plain,
( rf(esk1_1(X1),X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_29]),
[final] ).
fof(c_0_36,plain,
! [X144,X145,X146] :
( ~ cowlThing(X144)
| ~ rf(X144,X145)
| ~ rf(X144,X146)
| X145 = X146 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
fof(c_0_37,plain,
! [X124] :
( cowlThing(X124)
& ~ cowlNothing(X124) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( ~ ca(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_39,plain,
( ra_Px1(X1,esk4_1(X1))
| ~ caxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]),
[final] ).
cnf(c_0_40,plain,
( rr(X1,X2)
| ~ rr(X1,esk5_1(esk2_1(X2)))
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_33]),
[final] ).
cnf(c_0_41,plain,
( ca_Vx2(X1)
| ~ rinvF(X1,X2)
| ~ ca(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
cnf(c_0_42,plain,
( ca(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
cnf(c_0_43,plain,
( cSatisfiable(X1)
| ~ rinvF(X1,X2)
| ~ ca(X2)
| ~ caxcomp(X1)
| ~ rinvR(X1,X3)
| ~ ca_Vx2(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
cnf(c_0_44,plain,
( rinvR(X1,esk5_1(X1))
| ~ ca_Vx2(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_27]),
[final] ).
cnf(c_0_45,plain,
( rr(esk1_1(X1),X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_35]),
[final] ).
cnf(c_0_46,plain,
( X2 = X3
| ~ cowlThing(X1)
| ~ rf(X1,X2)
| ~ rf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,plain,
( ~ caxcomp(X1)
| ~ ca(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_49,plain,
( caxcomp(X1)
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
fof(c_0_50,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_51,plain,
( rr(esk5_1(esk5_1(esk2_1(X1))),X1)
| ~ ca_Vx2(esk5_1(esk2_1(X1)))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_27]),
[final] ).
cnf(c_0_52,plain,
( ca_Vx2(X1)
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_29]),c_0_42]),
[final] ).
cnf(c_0_53,plain,
( cSatisfiable(X1)
| ~ rinvF(X1,X2)
| ~ caxcomp(X1)
| ~ ca_Vx2(esk5_1(X1))
| ~ ca(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_41]),
[final] ).
cnf(c_0_54,plain,
( rr(X1,X2)
| ~ rr(X1,esk5_1(X2))
| ~ ca_Vx2(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_27]),
[final] ).
cnf(c_0_55,plain,
( rr(X1,X2)
| ~ rr(X1,esk1_1(X2))
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_45]),
[final] ).
cnf(c_0_56,plain,
( X2 = X3
| ~ rf(X1,X3)
| ~ rf(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]),
[final] ).
cnf(c_0_57,plain,
( caxcomp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]),
[final] ).
cnf(c_0_58,plain,
( ra_Px1(X1,esk3_1(X1))
| ca(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_59,plain,
( ~ ca(X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_60,plain,
( ca(esk5_1(X1))
| ~ ca_Vx2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
fof(c_0_61,plain,
! [X125] :
( ( ~ xsd_string(X125)
| ~ xsd_integer(X125) )
& ( xsd_integer(X125)
| xsd_string(X125) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).
cnf(c_0_62,plain,
( rr(esk5_1(esk5_1(esk2_1(X1))),X1)
| ~ cSatisfiable(esk5_1(esk2_1(X1)))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_63,plain,
( rr(esk1_1(esk5_1(esk2_1(X1))),X1)
| ~ cSatisfiable(esk5_1(esk2_1(X1)))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_45]),
[final] ).
cnf(c_0_64,plain,
( rr(esk5_1(esk2_1(esk5_1(esk2_1(X1)))),X1)
| ~ cSatisfiable(esk5_1(esk2_1(X1)))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]),
[final] ).
cnf(c_0_65,plain,
( rr(esk2_1(esk5_1(esk2_1(X1))),X1)
| ~ cSatisfiable(esk5_1(esk2_1(X1)))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_23]),
[final] ).
cnf(c_0_66,plain,
( rr(esk5_1(esk2_1(esk2_1(X1))),X1)
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_33]),
[final] ).
cnf(c_0_67,plain,
( cSatisfiable(X1)
| ~ rinvF(X1,X2)
| ~ caxcomp(X1)
| ~ ca(X2)
| ~ cSatisfiable(esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_52]),
[final] ).
cnf(c_0_68,plain,
( rr(esk5_1(esk5_1(X1)),X1)
| ~ ca_Vx2(esk5_1(X1))
| ~ ca_Vx2(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_27]),
[final] ).
cnf(c_0_69,plain,
( rr(esk5_1(esk1_1(X1)),X1)
| ~ ca_Vx2(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_27]),
[final] ).
cnf(c_0_70,plain,
( rr(esk1_1(esk2_1(X1)),X1)
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_45]),
[final] ).
cnf(c_0_71,plain,
( rr(esk2_1(esk2_1(X1)),X1)
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]),
[final] ).
cnf(c_0_72,plain,
( rinvR(X1,esk5_1(esk2_1(X1)))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]),
[final] ).
cnf(c_0_73,plain,
( rinvR(X1,esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_45]),
[final] ).
cnf(c_0_74,plain,
( X1 = X2
| ~ rf(esk5_1(X2),X1)
| ~ ca_Vx2(X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_25]),
[final] ).
cnf(c_0_75,plain,
( X1 = X2
| ~ rf(esk1_1(X2),X1)
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_35]),
[final] ).
cnf(c_0_76,plain,
( caxcomp(X1)
| ca(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]),
[final] ).
cnf(c_0_77,plain,
( ~ cSatisfiable(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_42]),
[final] ).
cnf(c_0_78,plain,
( ~ ca_Vx2(X1)
| ~ cSatisfiable(esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]),
[final] ).
cnf(c_0_79,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]),
[final] ).
cnf(c_0_80,plain,
( rinvF(X2,X1)
| ~ rf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
cnf(c_0_81,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]),
[final] ).
cnf(c_0_82,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_83,plain,
cSatisfiable(i2003_11_14_17_16_25617),
inference(split_conjunct,[status(thm)],[axiom_10]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS046+1 : TPTP v9.2.1. Released v3.1.0.
% 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 : n001.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 20:36:18 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start Saturation
% See solution above
% 1.27/1.72 % Total time : 1.372s
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