%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS045+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 : n024.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 1.11s 1.61s
% Output : Saturation 1.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_7,axiom,
! [X4] :
( cowlThing(X4)
=> ! [X6,X7] :
( ( rf2(X4,X6)
& rf2(X4,X7) )
=> X6 = X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_6,axiom,
! [X4] :
( cowlThing(X4)
=> ! [X6,X7] :
( ( rf1(X4,X6)
& rf1(X4,X7) )
=> X6 = X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_4,axiom,
! [X4] :
( cp2(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X4] :
( cp2xcomp(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_3,axiom,
! [X4] :
( cp1(X4)
=> cp2xcomp(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_2,axiom,
! [X4] :
( cSatisfiable(X4)
<=> ( ? [X5] :
( rf2(X4,X5)
& cp2(X5) )
& ? [X5] :
( rf1(X4,X5)
& cp1(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_10,axiom,
! [X4,X5] :
( rr(X4,X5)
=> rf2(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_9,axiom,
! [X4,X5] :
( rr(X4,X5)
=> rf1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_8,axiom,
cSatisfiable(i2003_11_14_17_16_21280),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(c_0_11,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_12,plain,
! [X128,X129,X130] :
( ~ cowlThing(X128)
| ~ rf2(X128,X129)
| ~ rf2(X128,X130)
| X129 = X130 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
fof(c_0_13,plain,
! [X108] :
( cowlThing(X108)
& ~ cowlNothing(X108) ),
inference(variable_rename,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X125,X126,X127] :
( ~ cowlThing(X125)
| ~ rf1(X125,X126)
| ~ rf1(X125,X127)
| X126 = X127 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
fof(c_0_15,plain,
! [X117,X118,X119] :
( ( ~ cp2(X117)
| ~ ra_Px1(X117,X118) )
& ( ra_Px1(X119,esk3_1(X119))
| cp2(X119) ) ),
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_16,plain,
! [X121,X123,X124] :
( ( ~ cp2xcomp(X121)
| ra_Px1(X121,esk4_1(X121)) )
& ( ~ ra_Px1(X123,X124)
| cp2xcomp(X123) ) ),
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_17,plain,
! [X116] :
( ~ cp1(X116)
| cp2xcomp(X116) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
fof(c_0_18,plain,
! [X110,X113,X114,X115] :
( ( rf2(X110,esk1_1(X110))
| ~ cSatisfiable(X110) )
& ( cp2(esk1_1(X110))
| ~ cSatisfiable(X110) )
& ( rf1(X110,esk2_1(X110))
| ~ cSatisfiable(X110) )
& ( cp1(esk2_1(X110))
| ~ cSatisfiable(X110) )
& ( ~ rf2(X113,X114)
| ~ cp2(X114)
| ~ rf1(X113,X115)
| ~ cp1(X115)
| cSatisfiable(X113) ) ),
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])])])])])]) ).
cnf(c_0_19,plain,
( X2 = X3
| ~ cowlThing(X1)
| ~ rf2(X1,X2)
| ~ rf2(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( X2 = X3
| ~ cowlThing(X1)
| ~ rf1(X1,X2)
| ~ rf1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( ~ cp2(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
cnf(c_0_23,plain,
( ra_Px1(X1,esk4_1(X1))
| ~ cp2xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]),
[final] ).
cnf(c_0_24,plain,
( cp2xcomp(X1)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]),
[final] ).
cnf(c_0_25,plain,
( cp1(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]),
[final] ).
fof(c_0_26,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_27,plain,
( X2 = X3
| ~ rf2(X1,X3)
| ~ rf2(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
[final] ).
cnf(c_0_28,plain,
( rf2(X1,esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]),
[final] ).
cnf(c_0_29,plain,
( X2 = X3
| ~ rf1(X1,X3)
| ~ rf1(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_20])]),
[final] ).
cnf(c_0_30,plain,
( rf1(X1,esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]),
[final] ).
cnf(c_0_31,plain,
( cp2xcomp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]),
[final] ).
cnf(c_0_32,plain,
( ra_Px1(X1,esk3_1(X1))
| cp2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
cnf(c_0_33,plain,
( ~ cp2xcomp(X1)
| ~ cp2(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]),
[final] ).
cnf(c_0_34,plain,
( cp2xcomp(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]),
[final] ).
fof(c_0_35,plain,
! [X133,X134] :
( ~ rr(X133,X134)
| rf2(X133,X134) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
fof(c_0_36,plain,
! [X131,X132] :
( ~ rr(X131,X132)
| rf1(X131,X132) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
fof(c_0_37,plain,
! [X109] :
( ( ~ xsd_string(X109)
| ~ xsd_integer(X109) )
& ( xsd_integer(X109)
| xsd_string(X109) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
cnf(c_0_38,plain,
( X1 = esk1_1(X2)
| ~ rf2(X2,X1)
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]),
[final] ).
cnf(c_0_39,plain,
( cSatisfiable(X1)
| ~ rf2(X1,X2)
| ~ cp2(X2)
| ~ rf1(X1,X3)
| ~ cp1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]),
[final] ).
cnf(c_0_40,plain,
( X1 = esk2_1(X2)
| ~ rf1(X2,X1)
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]),
[final] ).
cnf(c_0_41,plain,
( cp2xcomp(X1)
| cp2(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]),
[final] ).
cnf(c_0_42,plain,
( ~ cp2(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]),
[final] ).
cnf(c_0_43,plain,
( rf2(X1,X2)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]),
[final] ).
cnf(c_0_44,plain,
( rf1(X1,X2)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]),
[final] ).
cnf(c_0_45,plain,
( cp2(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]),
[final] ).
cnf(c_0_46,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_47,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_48,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
cnf(c_0_49,plain,
cSatisfiable(i2003_11_14_17_16_21280),
inference(split_conjunct,[status(thm)],[axiom_8]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : KRS045+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 15:35:41 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 1.11/1.61 % Version : CSE_E---1.7
% 1.11/1.61 % Problem : theBenchmark.p
% 1.11/1.61 % SZS status Satisfiable for theBenchmark.p
% 1.11/1.61 % SZS output start Saturation
% See solution above
% 1.11/1.61 % Total time : 1.362s
%------------------------------------------------------------------------------