%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS030+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 : n018.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 04:36:11 PM UTC 2026
% Result : Satisfiable 1.26s 1.72s
% Output : Saturation 1.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cSatisfiable(X4)
<=> ( ? [X5] :
( rf1(X4,X5)
& ~ cp(X5) )
& ? [X5] :
( rf(X4,X5)
& cp(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_4,axiom,
! [X4,X5,X6] :
( ( rf1(X4,X5)
& rf1(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_3,axiom,
! [X4,X5,X6] :
( ( rf(X4,X5)
& rf(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_6,axiom,
! [X4,X5] :
( rinvF1(X4,X5)
<=> rf1(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_5,axiom,
! [X4,X5] :
( rinvF(X4,X5)
<=> rf(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_8,axiom,
! [X4,X5,X6] :
( ( rs(X4,X5)
& rs(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_7,axiom,
! [X4,X5] :
( rinvS(X4,X5)
<=> rs(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_11,axiom,
! [X4,X5] :
( rs(X4,X5)
=> rf1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_10,axiom,
! [X4,X5] :
( rs(X4,X5)
=> rf(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_9,axiom,
cSatisfiable(i2003_11_14_17_15_26245),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(c_0_12,plain,
! [X4] :
( cSatisfiable(X4)
<=> ( ? [X5] :
( rf1(X4,X5)
& ~ cp(X5) )
& ? [X5] :
( rf(X4,X5)
& cp(X5) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_13,plain,
! [X138,X139,X140] :
( ~ rf1(X138,X139)
| ~ rf1(X138,X140)
| X139 = X140 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
fof(c_0_14,plain,
! [X129,X132,X133,X134] :
( ( rf1(X129,esk1_1(X129))
| ~ cSatisfiable(X129) )
& ( ~ cp(esk1_1(X129))
| ~ cSatisfiable(X129) )
& ( rf(X129,esk2_1(X129))
| ~ cSatisfiable(X129) )
& ( cp(esk2_1(X129))
| ~ cSatisfiable(X129) )
& ( ~ rf1(X132,X133)
| cp(X133)
| ~ rf(X132,X134)
| ~ cp(X134)
| cSatisfiable(X132) ) ),
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_12])])])])])]) ).
fof(c_0_15,plain,
! [X135,X136,X137] :
( ~ rf(X135,X136)
| ~ rf(X135,X137)
| X136 = X137 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
fof(c_0_16,plain,
! [X143,X144] :
( ( ~ rinvF1(X143,X144)
| rf1(X144,X143) )
& ( ~ rf1(X144,X143)
| rinvF1(X143,X144) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).
fof(c_0_17,plain,
! [X141,X142] :
( ( ~ rinvF(X141,X142)
| rf(X142,X141) )
& ( ~ rf(X142,X141)
| rinvF(X141,X142) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).
fof(c_0_18,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_19,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
cnf(c_0_20,plain,
( X2 = X3
| ~ rf1(X1,X2)
| ~ rf1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
cnf(c_0_21,plain,
( rf1(X1,esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
cnf(c_0_22,plain,
( X2 = X3
| ~ rf(X1,X2)
| ~ rf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
cnf(c_0_23,plain,
( rf(X1,esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
fof(c_0_24,plain,
! [X147,X148,X149] :
( ~ rs(X147,X148)
| ~ rs(X147,X149)
| X148 = X149 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).
cnf(c_0_25,plain,
( rinvF1(X2,X1)
| ~ rf1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]),
[final] ).
cnf(c_0_26,plain,
( rinvF(X2,X1)
| ~ rf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]),
[final] ).
fof(c_0_27,plain,
! [X145,X146] :
( ( ~ rinvS(X145,X146)
| rs(X146,X145) )
& ( ~ rs(X146,X145)
| rinvS(X145,X146) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
fof(c_0_28,plain,
! [X152,X153] :
( ~ rs(X152,X153)
| rf1(X152,X153) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])]) ).
fof(c_0_29,plain,
! [X150,X151] :
( ~ rs(X150,X151)
| rf(X150,X151) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
fof(c_0_30,plain,
! [X128] :
( ( ~ xsd_string(X128)
| ~ xsd_integer(X128) )
& ( xsd_integer(X128)
| xsd_string(X128) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_31,plain,
! [X127] :
( cowlThing(X127)
& ~ cowlNothing(X127) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
cnf(c_0_32,plain,
( X1 = esk1_1(X2)
| ~ rf1(X2,X1)
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]),
[final] ).
cnf(c_0_33,plain,
( X1 = esk2_1(X2)
| ~ rf(X2,X1)
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]),
[final] ).
cnf(c_0_34,plain,
( cp(X2)
| cSatisfiable(X1)
| ~ rf1(X1,X2)
| ~ rf(X1,X3)
| ~ cp(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
cnf(c_0_35,plain,
( X2 = X3
| ~ rs(X1,X2)
| ~ rs(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]),
[final] ).
cnf(c_0_36,plain,
( rinvF1(esk1_1(X1),X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_21]),
[final] ).
cnf(c_0_37,plain,
( rinvF(esk2_1(X1),X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]),
[final] ).
cnf(c_0_38,plain,
( rinvS(X2,X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]),
[final] ).
cnf(c_0_39,plain,
( rs(X2,X1)
| ~ rinvS(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]),
[final] ).
cnf(c_0_40,plain,
( rf1(X1,X2)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_41,plain,
( rf1(X2,X1)
| ~ rinvF1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]),
[final] ).
cnf(c_0_42,plain,
( rf(X1,X2)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]),
[final] ).
cnf(c_0_43,plain,
( rf(X2,X1)
| ~ rinvF(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]),
[final] ).
cnf(c_0_44,plain,
( cp(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
cnf(c_0_45,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]),
[final] ).
cnf(c_0_46,plain,
( ~ cp(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
cnf(c_0_47,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]),
[final] ).
cnf(c_0_48,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_49,plain,
cSatisfiable(i2003_11_14_17_15_26245),
inference(split_conjunct,[status(thm)],[axiom_9]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS030+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
% 0.16/0.33 % Computer : n018.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:36:02 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start Saturation
% See solution above
% 1.26/1.72 % Total time : 1.369s
%------------------------------------------------------------------------------