%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS037+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 : n012.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 04:36:12 PM UTC 2026
% Result : Satisfiable 1.13s 1.61s
% Output : Saturation 1.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cSatisfiable(X4)
<=> ( ? [X5] :
( rr(X4,X5)
& ? [X6] :
( rr(X5,X6)
& ! [X7] :
( rinvR(X6,X7)
=> ( ~ cp1(X7)
| ! [X1] :
( rr(X7,X1)
=> cp1(X1) ) ) )
& cp1(X6) ) )
& cp1(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_6,axiom,
! [X4,X5,X6] :
( ( rr(X4,X5)
& rr(X5,X6) )
=> rr(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_5,axiom,
! [X4,X5] :
( rinvR(X4,X5)
<=> rr(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_3,axiom,
! [X4] :
( cowlThing(X4)
=> ! [X8,X9] :
( ( rf(X4,X8)
& rf(X4,X9) )
=> X8 = X9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_4,axiom,
! [X4,X5] :
( rinvF(X4,X5)
<=> rf(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_7,axiom,
cSatisfiable(i2003_11_14_17_15_51999),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(c_0_8,plain,
! [X4] :
( cSatisfiable(X4)
<=> ( ? [X5] :
( rr(X4,X5)
& ? [X6] :
( rr(X5,X6)
& ! [X7] :
( rinvR(X6,X7)
=> ( ~ cp1(X7)
| ! [X1] :
( rr(X7,X1)
=> cp1(X1) ) ) )
& cp1(X6) ) )
& cp1(X4) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_9,plain,
! [X118,X119,X120] :
( ~ rr(X118,X119)
| ~ rr(X119,X120)
| rr(X118,X120) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).
fof(c_0_10,plain,
! [X101,X104,X105,X106,X107,X108] :
( ( rr(X101,esk1_1(X101))
| ~ cSatisfiable(X101) )
& ( rr(esk1_1(X101),esk2_1(X101))
| ~ cSatisfiable(X101) )
& ( ~ rinvR(esk2_1(X101),X104)
| ~ cp1(X104)
| ~ rr(X104,X105)
| cp1(X105)
| ~ cSatisfiable(X101) )
& ( cp1(esk2_1(X101))
| ~ cSatisfiable(X101) )
& ( cp1(X101)
| ~ cSatisfiable(X101) )
& ( rinvR(X108,esk3_3(X106,X107,X108))
| ~ rr(X107,X108)
| ~ cp1(X108)
| ~ rr(X106,X107)
| ~ cp1(X106)
| cSatisfiable(X106) )
& ( cp1(esk3_3(X106,X107,X108))
| ~ rr(X107,X108)
| ~ cp1(X108)
| ~ rr(X106,X107)
| ~ cp1(X106)
| cSatisfiable(X106) )
& ( rr(esk3_3(X106,X107,X108),esk4_3(X106,X107,X108))
| ~ rr(X107,X108)
| ~ cp1(X108)
| ~ rr(X106,X107)
| ~ cp1(X106)
| cSatisfiable(X106) )
& ( ~ cp1(esk4_3(X106,X107,X108))
| ~ rr(X107,X108)
| ~ cp1(X108)
| ~ rr(X106,X107)
| ~ cp1(X106)
| cSatisfiable(X106) ) ),
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_8])])])])])]) ).
cnf(c_0_11,plain,
( rr(X1,X3)
| ~ rr(X1,X2)
| ~ rr(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]),
[final] ).
cnf(c_0_12,plain,
( rr(esk1_1(X1),esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
fof(c_0_13,plain,
! [X116,X117] :
( ( ~ rinvR(X116,X117)
| rr(X117,X116) )
& ( ~ rr(X117,X116)
| rinvR(X116,X117) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).
cnf(c_0_14,plain,
( rr(X1,esk2_1(X2))
| ~ rr(X1,esk1_1(X2))
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]),
[final] ).
cnf(c_0_15,plain,
( rr(X1,esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
cnf(c_0_16,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
cnf(c_0_17,plain,
( rr(X1,esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]),
[final] ).
cnf(c_0_18,plain,
( cp1(X3)
| ~ rinvR(esk2_1(X1),X2)
| ~ cp1(X2)
| ~ rr(X2,X3)
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
cnf(c_0_19,plain,
( rinvR(esk2_1(X1),X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]),
[final] ).
cnf(c_0_20,plain,
( cp1(X1)
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
cnf(c_0_21,plain,
( cp1(X1)
| ~ rr(X2,X1)
| ~ cSatisfiable(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[final] ).
fof(c_0_22,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
cnf(c_0_23,plain,
( rr(esk3_3(X1,X2,X3),esk4_3(X1,X2,X3))
| cSatisfiable(X1)
| ~ rr(X2,X3)
| ~ cp1(X3)
| ~ rr(X1,X2)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
cnf(c_0_24,plain,
( cp1(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
cnf(c_0_25,plain,
( cp1(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]),
[final] ).
cnf(c_0_26,plain,
( rinvR(X1,esk3_3(X2,X3,X1))
| cSatisfiable(X2)
| ~ rr(X3,X1)
| ~ cp1(X1)
| ~ rr(X2,X3)
| ~ cp1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
cnf(c_0_27,plain,
( cp1(esk3_3(X1,X2,X3))
| cSatisfiable(X1)
| ~ rr(X2,X3)
| ~ cp1(X3)
| ~ rr(X1,X2)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
fof(c_0_28,plain,
! [X111,X112,X113] :
( ~ cowlThing(X111)
| ~ rf(X111,X112)
| ~ rf(X111,X113)
| X112 = X113 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
fof(c_0_29,plain,
! [X99] :
( cowlThing(X99)
& ~ cowlNothing(X99) ),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_30,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_31,plain,
( rr(esk3_3(X1,X2,esk2_1(X2)),esk4_3(X1,X2,esk2_1(X2)))
| cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ cp1(X1)
| ~ cSatisfiable(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_17]),c_0_24]),
[final] ).
cnf(c_0_32,plain,
( rr(esk3_3(X1,X2,esk1_1(X2)),esk4_3(X1,X2,esk1_1(X2)))
| cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ cp1(X1)
| ~ cSatisfiable(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_25]),
[final] ).
cnf(c_0_33,plain,
( rinvR(esk2_1(X1),esk3_3(X2,X1,esk2_1(X1)))
| cSatisfiable(X2)
| ~ rr(X2,X1)
| ~ cp1(X2)
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_24]),
[final] ).
cnf(c_0_34,plain,
( rinvR(esk1_1(X1),esk3_3(X2,X1,esk1_1(X1)))
| cSatisfiable(X2)
| ~ rr(X2,X1)
| ~ cp1(X2)
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_15]),c_0_25]),
[final] ).
cnf(c_0_35,plain,
( cp1(esk3_3(X1,X2,esk2_1(X2)))
| cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ cp1(X1)
| ~ cSatisfiable(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_17]),c_0_24]),
[final] ).
cnf(c_0_36,plain,
( cp1(esk3_3(X1,X2,esk1_1(X2)))
| cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ cp1(X1)
| ~ cSatisfiable(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_15]),c_0_25]),
[final] ).
cnf(c_0_37,plain,
( rr(X1,esk2_1(X2))
| ~ rr(X1,X2)
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]),
[final] ).
cnf(c_0_38,plain,
( rinvR(esk2_1(X1),esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_12]),
[final] ).
cnf(c_0_39,plain,
( rr(X1,esk1_1(X2))
| ~ rr(X1,X2)
| ~ cSatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]),
[final] ).
cnf(c_0_40,plain,
( X2 = X3
| ~ cowlThing(X1)
| ~ rf(X1,X2)
| ~ rf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_42,plain,
! [X114,X115] :
( ( ~ rinvF(X114,X115)
| rf(X115,X114) )
& ( ~ rf(X115,X114)
| rinvF(X114,X115) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
fof(c_0_43,plain,
! [X100] :
( ( ~ xsd_string(X100)
| ~ xsd_integer(X100) )
& ( xsd_integer(X100)
| xsd_string(X100) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
cnf(c_0_44,plain,
cSatisfiable(i2003_11_14_17_15_51999),
inference(split_conjunct,[status(thm)],[axiom_7]),
[final] ).
cnf(c_0_45,plain,
( rr(esk3_3(esk1_1(X1),esk2_1(X1),esk2_1(esk2_1(X1))),esk4_3(esk1_1(X1),esk2_1(X1),esk2_1(esk2_1(X1))))
| cSatisfiable(esk1_1(X1))
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_12]),c_0_25]),
[final] ).
cnf(c_0_46,plain,
( rr(esk3_3(esk1_1(X1),esk2_1(X1),esk1_1(esk2_1(X1))),esk4_3(esk1_1(X1),esk2_1(X1),esk1_1(esk2_1(X1))))
| cSatisfiable(esk1_1(X1))
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_12]),c_0_25]),
[final] ).
cnf(c_0_47,plain,
( rinvR(esk2_1(esk2_1(X1)),esk3_3(esk1_1(X1),esk2_1(X1),esk2_1(esk2_1(X1))))
| cSatisfiable(esk1_1(X1))
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_12]),c_0_25]),
[final] ).
cnf(c_0_48,plain,
( rinvR(esk1_1(esk2_1(X1)),esk3_3(esk1_1(X1),esk2_1(X1),esk1_1(esk2_1(X1))))
| cSatisfiable(esk1_1(X1))
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_12]),c_0_25]),
[final] ).
cnf(c_0_49,plain,
( rr(esk3_3(X1,esk1_1(X2),esk2_1(X2)),esk4_3(X1,esk1_1(X2),esk2_1(X2)))
| cSatisfiable(X1)
| ~ rr(X1,esk1_1(X2))
| ~ cp1(X1)
| ~ cSatisfiable(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_12]),c_0_24]),
[final] ).
cnf(c_0_50,plain,
( rinvR(esk2_1(X1),esk3_3(X2,esk1_1(X1),esk2_1(X1)))
| cSatisfiable(X2)
| ~ rr(X2,esk1_1(X1))
| ~ cp1(X2)
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_12]),c_0_24]),
[final] ).
cnf(c_0_51,plain,
( cp1(esk3_3(esk1_1(X1),esk2_1(X1),esk2_1(esk2_1(X1))))
| cSatisfiable(esk1_1(X1))
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_12]),c_0_25]),
[final] ).
cnf(c_0_52,plain,
( cp1(esk3_3(esk1_1(X1),esk2_1(X1),esk1_1(esk2_1(X1))))
| cSatisfiable(esk1_1(X1))
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_12]),c_0_25]),
[final] ).
cnf(c_0_53,plain,
( rr(esk1_1(X1),esk2_1(esk2_1(X1)))
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_12]),
[final] ).
cnf(c_0_54,plain,
( cp1(esk3_3(X1,esk1_1(X2),esk2_1(X2)))
| cSatisfiable(X1)
| ~ rr(X1,esk1_1(X2))
| ~ cp1(X1)
| ~ cSatisfiable(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_12]),c_0_24]),
[final] ).
cnf(c_0_55,plain,
( cp1(X1)
| ~ rr(esk1_1(X2),X1)
| ~ cSatisfiable(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_38]),c_0_25]),
[final] ).
cnf(c_0_56,plain,
( rr(X1,esk2_1(esk1_1(X1)))
| ~ cSatisfiable(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_15]),
[final] ).
cnf(c_0_57,plain,
( rr(X1,esk2_1(esk2_1(X1)))
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_17]),
[final] ).
cnf(c_0_58,plain,
( rr(X1,esk1_1(esk2_1(X1)))
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_17]),
[final] ).
cnf(c_0_59,plain,
( rr(esk1_1(X1),esk1_1(esk2_1(X1)))
| ~ cSatisfiable(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_12]),
[final] ).
cnf(c_0_60,plain,
( rr(X1,esk1_1(esk1_1(X1)))
| ~ cSatisfiable(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_15]),
[final] ).
cnf(c_0_61,plain,
( cSatisfiable(X1)
| ~ cp1(esk4_3(X1,X2,X3))
| ~ rr(X2,X3)
| ~ cp1(X3)
| ~ rr(X1,X2)
| ~ cp1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]),
[final] ).
cnf(c_0_62,plain,
( rinvR(esk1_1(X1),X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]),
[final] ).
cnf(c_0_63,plain,
( X2 = X3
| ~ rf(X1,X3)
| ~ rf(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]),
[final] ).
cnf(c_0_64,plain,
( rinvF(X2,X1)
| ~ rf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_65,plain,
( rr(X2,X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
cnf(c_0_66,plain,
( rf(X2,X1)
| ~ rinvF(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_67,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]),
[final] ).
cnf(c_0_68,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]),
[final] ).
cnf(c_0_69,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_29]),
[final] ).
cnf(c_0_70,plain,
cp1(i2003_11_14_17_15_51999),
inference(spm,[status(thm)],[c_0_20,c_0_44]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : KRS037+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
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Mon May 4 20:35:46 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.13/1.61 % Version : CSE_E---1.7
% 1.13/1.61 % Problem : theBenchmark.p
% 1.13/1.61 % SZS status Satisfiable for theBenchmark.p
% 1.13/1.61 % SZS output start Saturation
% See solution above
% 1.13/1.61 % Total time : 1.360s
%------------------------------------------------------------------------------