%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS039+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 : n028.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 1.26s 1.70s
% Output : Saturation 1.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X1] :
( cSatisfiable(X1)
<=> ( ? [X2] :
( rr(X1,X2)
& ! [X3] :
( rinvR(X2,X3)
=> ! [X4] :
( rr1(X3,X4)
=> cp(X4) ) ) )
& ? [X2] :
( rr(X1,X2)
& ! [X3] :
( rinvR(X2,X3)
=> ! [X4] :
( rr1(X3,X4)
=> ~ cp(X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X1,X2] :
( rinvR(X1,X2)
<=> rr(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
cSatisfiable(i2003_11_14_17_15_58383),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(c_0_5,plain,
! [X1] :
( cSatisfiable(X1)
<=> ( ? [X2] :
( rr(X1,X2)
& ! [X3] :
( rinvR(X2,X3)
=> ! [X4] :
( rr1(X3,X4)
=> cp(X4) ) ) )
& ? [X2] :
( rr(X1,X2)
& ! [X3] :
( rinvR(X2,X3)
=> ! [X4] :
( rr1(X3,X4)
=> ~ cp(X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_6,plain,
! [X18,X20,X21,X23,X24,X25,X26,X29] :
( ( rr(X18,esk1_1(X18))
| ~ cSatisfiable(X18) )
& ( ~ rinvR(esk1_1(X18),X20)
| ~ rr1(X20,X21)
| cp(X21)
| ~ cSatisfiable(X18) )
& ( rr(X18,esk2_1(X18))
| ~ cSatisfiable(X18) )
& ( ~ rinvR(esk2_1(X18),X23)
| ~ rr1(X23,X24)
| ~ cp(X24)
| ~ cSatisfiable(X18) )
& ( rinvR(X29,esk5_2(X25,X29))
| ~ rr(X25,X29)
| rinvR(X26,esk3_2(X25,X26))
| ~ rr(X25,X26)
| cSatisfiable(X25) )
& ( rr1(esk5_2(X25,X29),esk6_2(X25,X29))
| ~ rr(X25,X29)
| rinvR(X26,esk3_2(X25,X26))
| ~ rr(X25,X26)
| cSatisfiable(X25) )
& ( cp(esk6_2(X25,X29))
| ~ rr(X25,X29)
| rinvR(X26,esk3_2(X25,X26))
| ~ rr(X25,X26)
| cSatisfiable(X25) )
& ( rinvR(X29,esk5_2(X25,X29))
| ~ rr(X25,X29)
| rr1(esk3_2(X25,X26),esk4_2(X25,X26))
| ~ rr(X25,X26)
| cSatisfiable(X25) )
& ( rr1(esk5_2(X25,X29),esk6_2(X25,X29))
| ~ rr(X25,X29)
| rr1(esk3_2(X25,X26),esk4_2(X25,X26))
| ~ rr(X25,X26)
| cSatisfiable(X25) )
& ( cp(esk6_2(X25,X29))
| ~ rr(X25,X29)
| rr1(esk3_2(X25,X26),esk4_2(X25,X26))
| ~ rr(X25,X26)
| cSatisfiable(X25) )
& ( rinvR(X29,esk5_2(X25,X29))
| ~ rr(X25,X29)
| ~ cp(esk4_2(X25,X26))
| ~ rr(X25,X26)
| cSatisfiable(X25) )
& ( rr1(esk5_2(X25,X29),esk6_2(X25,X29))
| ~ rr(X25,X29)
| ~ cp(esk4_2(X25,X26))
| ~ rr(X25,X26)
| cSatisfiable(X25) )
& ( cp(esk6_2(X25,X29))
| ~ rr(X25,X29)
| ~ cp(esk4_2(X25,X26))
| ~ rr(X25,X26)
| cSatisfiable(X25) ) ),
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_5])])])])])]) ).
fof(c_0_7,plain,
! [X32,X33] :
( ( ~ rinvR(X32,X33)
| rr(X33,X32) )
& ( ~ rr(X33,X32)
| rinvR(X32,X33) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
cnf(c_0_8,plain,
( rr(X1,esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_9,plain,
cSatisfiable(i2003_11_14_17_15_58383),
inference(split_conjunct,[status(thm)],[axiom_4]),
[final] ).
cnf(c_0_10,plain,
( rr(X1,esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_11,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]),
[final] ).
cnf(c_0_12,plain,
rr(i2003_11_14_17_15_58383,esk1_1(i2003_11_14_17_15_58383)),
inference(spm,[status(thm)],[c_0_8,c_0_9]),
[final] ).
fof(c_0_13,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_14,plain,
rr(i2003_11_14_17_15_58383,esk2_1(i2003_11_14_17_15_58383)),
inference(spm,[status(thm)],[c_0_10,c_0_9]),
[final] ).
cnf(c_0_15,plain,
( cp(X3)
| ~ rinvR(esk1_1(X1),X2)
| ~ rr1(X2,X3)
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_16,plain,
rinvR(esk1_1(i2003_11_14_17_15_58383),i2003_11_14_17_15_58383),
inference(spm,[status(thm)],[c_0_11,c_0_12]),
[final] ).
fof(c_0_17,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_18,plain,
! [X17] :
( ( ~ xsd_string(X17)
| ~ xsd_integer(X17) )
& ( xsd_integer(X17)
| xsd_string(X17) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_19,plain,
( ~ rinvR(esk2_1(X1),X2)
| ~ rr1(X2,X3)
| ~ cp(X3)
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_20,plain,
rinvR(esk2_1(i2003_11_14_17_15_58383),i2003_11_14_17_15_58383),
inference(spm,[status(thm)],[c_0_11,c_0_14]),
[final] ).
cnf(c_0_21,plain,
( cp(X1)
| ~ rr1(i2003_11_14_17_15_58383,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_9])]),
[final] ).
fof(c_0_22,plain,
! [X16] :
( cowlThing(X16)
& ~ cowlNothing(X16) ),
inference(variable_rename,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( rr1(esk5_2(X1,X2),esk6_2(X1,X2))
| rr1(esk3_2(X1,X3),esk4_2(X1,X3))
| cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ rr(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_24,plain,
( rr1(esk5_2(X1,X2),esk6_2(X1,X2))
| rinvR(X3,esk3_2(X1,X3))
| cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ rr(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_25,plain,
( rinvR(X1,esk5_2(X2,X1))
| rr1(esk3_2(X2,X3),esk4_2(X2,X3))
| cSatisfiable(X2)
| ~ rr(X2,X1)
| ~ rr(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_26,plain,
( rinvR(X1,esk5_2(X2,X1))
| rinvR(X3,esk3_2(X2,X3))
| cSatisfiable(X2)
| ~ rr(X2,X1)
| ~ rr(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_27,plain,
( cp(esk6_2(X1,X2))
| rr1(esk3_2(X1,X3),esk4_2(X1,X3))
| cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ rr(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_28,plain,
( rr1(esk5_2(X1,X2),esk6_2(X1,X2))
| cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ cp(esk4_2(X1,X3))
| ~ rr(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_29,plain,
( cp(esk6_2(X1,X2))
| rinvR(X3,esk3_2(X1,X3))
| cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ rr(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_30,plain,
( cp(esk6_2(X1,X2))
| cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ cp(esk4_2(X1,X3))
| ~ rr(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_31,plain,
( rinvR(X1,esk5_2(X2,X1))
| cSatisfiable(X2)
| ~ rr(X2,X1)
| ~ cp(esk4_2(X2,X3))
| ~ rr(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_32,plain,
( rr(X2,X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]),
[final] ).
cnf(c_0_33,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]),
[final] ).
cnf(c_0_34,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]),
[final] ).
cnf(c_0_35,plain,
~ rr1(i2003_11_14_17_15_58383,X1),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_9])]),c_0_21]),
[final] ).
cnf(c_0_36,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS039+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.11 % 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
% 0.13/0.32 % Computer : n028.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon May 4 20:36:00 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 1.26/1.70 % Version : CSE_E---1.7
% 1.26/1.70 % Problem : theBenchmark.p
% 1.26/1.70 % SZS status Satisfiable for theBenchmark.p
% 1.26/1.70 % SZS output start Saturation
% See solution above
% 1.26/1.70 % Total time : 1.368s
%------------------------------------------------------------------------------