%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS050+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 : n007.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 1.21s 1.70s
% Output : Saturation 1.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,axiom,
! [X1] :
( ca_Vx5(X1)
<=> ! [X2] :
( rinvR(X1,X2)
=> ca_Vx3(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_7,axiom,
! [X1] :
( ca_Vx4(X1)
<=> ! [X2] :
( rinvR(X1,X2)
=> ca_Vx2(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_9,axiom,
! [X1,X2] :
( rinvR(X1,X2)
<=> rr(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_2,axiom,
! [X1] :
( cSatisfiable(X1)
<=> ( ? [X2] :
( rr(X1,X2)
& ca_Vx4(X2) )
& ? [X2] :
( rr(X1,X2)
& ca_Vx5(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_6,axiom,
! [X1] :
( ca_Vx3(X1)
<=> ! [X2] :
( rr1(X1,X2)
=> cpxcomp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_5,axiom,
! [X1] :
( ca_Vx2(X1)
<=> ! [X2] :
( rr1(X1,X2)
=> cp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_3,axiom,
! [X1] :
( cp(X1)
<=> ~ ? [X2] : ra_Px1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X1] :
( cpxcomp(X1)
<=> ? [X3] : ra_Px1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_10,axiom,
cSatisfiable(i2003_11_14_17_16_39209),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(c_0_11,plain,
! [X51,X52,X53] :
( ( ~ ca_Vx5(X51)
| ~ rinvR(X51,X52)
| ca_Vx3(X52) )
& ( rinvR(X53,esk8_1(X53))
| ca_Vx5(X53) )
& ( ~ ca_Vx3(esk8_1(X53))
| ca_Vx5(X53) ) ),
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_8])])])])])]) ).
fof(c_0_12,plain,
! [X47,X48,X49] :
( ( ~ ca_Vx4(X47)
| ~ rinvR(X47,X48)
| ca_Vx2(X48) )
& ( rinvR(X49,esk7_1(X49))
| ca_Vx4(X49) )
& ( ~ ca_Vx2(esk7_1(X49))
| ca_Vx4(X49) ) ),
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_7])])])])])]) ).
fof(c_0_13,plain,
! [X55,X56] :
( ( ~ rinvR(X55,X56)
| rr(X56,X55) )
& ( ~ rr(X56,X55)
| rinvR(X55,X56) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
fof(c_0_14,plain,
! [X25,X28,X29,X30] :
( ( rr(X25,esk1_1(X25))
| ~ cSatisfiable(X25) )
& ( ca_Vx4(esk1_1(X25))
| ~ cSatisfiable(X25) )
& ( rr(X25,esk2_1(X25))
| ~ cSatisfiable(X25) )
& ( ca_Vx5(esk2_1(X25))
| ~ cSatisfiable(X25) )
& ( ~ rr(X28,X29)
| ~ ca_Vx4(X29)
| ~ rr(X28,X30)
| ~ ca_Vx5(X30)
| cSatisfiable(X28) ) ),
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_15,plain,
( ca_Vx3(X2)
| ~ ca_Vx5(X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]),
[final] ).
cnf(c_0_16,plain,
( rinvR(X1,esk7_1(X1))
| ca_Vx4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]),
[final] ).
cnf(c_0_17,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
cnf(c_0_18,plain,
( rr(X1,esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
fof(c_0_19,plain,
! [X43,X44,X45] :
( ( ~ ca_Vx3(X43)
| ~ rr1(X43,X44)
| cpxcomp(X44) )
& ( rr1(X45,esk6_1(X45))
| ca_Vx3(X45) )
& ( ~ cpxcomp(esk6_1(X45))
| ca_Vx3(X45) ) ),
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_6])])])])])]) ).
fof(c_0_20,plain,
! [X39,X40,X41] :
( ( ~ ca_Vx2(X39)
| ~ rr1(X39,X40)
| cp(X40) )
& ( rr1(X41,esk5_1(X41))
| ca_Vx2(X41) )
& ( ~ cp(esk5_1(X41))
| ca_Vx2(X41) ) ),
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])])])])])]) ).
cnf(c_0_21,plain,
( ca_Vx3(esk7_1(X1))
| ca_Vx4(X1)
| ~ ca_Vx5(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]),
[final] ).
cnf(c_0_22,plain,
( ca_Vx5(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
cnf(c_0_23,plain,
( ca_Vx2(X2)
| ~ ca_Vx4(X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]),
[final] ).
cnf(c_0_24,plain,
( rinvR(esk1_1(X1),X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]),
[final] ).
cnf(c_0_25,plain,
( ca_Vx4(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
fof(c_0_26,plain,
! [X31,X32,X33] :
( ( ~ cp(X31)
| ~ ra_Px1(X31,X32) )
& ( ra_Px1(X33,esk3_1(X33))
| cp(X33) ) ),
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_27,plain,
! [X35,X37,X38] :
( ( ~ cpxcomp(X35)
| ra_Px1(X35,esk4_1(X35)) )
& ( ~ ra_Px1(X37,X38)
| cpxcomp(X37) ) ),
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_28,plain,
( cpxcomp(X2)
| ~ ca_Vx3(X1)
| ~ rr1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
cnf(c_0_29,plain,
( rr1(X1,esk5_1(X1))
| ca_Vx2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]),
[final] ).
cnf(c_0_30,plain,
( ca_Vx3(esk7_1(esk2_1(X1)))
| ca_Vx4(esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]),
[final] ).
cnf(c_0_31,plain,
cSatisfiable(i2003_11_14_17_16_39209),
inference(split_conjunct,[status(thm)],[axiom_10]),
[final] ).
cnf(c_0_32,plain,
( cSatisfiable(X1)
| ~ rr(X1,X2)
| ~ ca_Vx4(X2)
| ~ rr(X1,X3)
| ~ ca_Vx5(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
cnf(c_0_33,plain,
( rr(X2,X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]),
[final] ).
cnf(c_0_34,plain,
( ca_Vx4(X1)
| ~ ca_Vx2(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]),
[final] ).
cnf(c_0_35,plain,
( ca_Vx2(X1)
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[final] ).
cnf(c_0_36,plain,
( rinvR(X1,esk8_1(X1))
| ca_Vx5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]),
[final] ).
cnf(c_0_37,plain,
( rr(X1,esk2_1(X1))
| ~ cSatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]),
[final] ).
cnf(c_0_38,plain,
( ~ cp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]),
[final] ).
cnf(c_0_39,plain,
( ra_Px1(X1,esk4_1(X1))
| ~ cpxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]),
[final] ).
cnf(c_0_40,plain,
( ca_Vx2(X1)
| cpxcomp(esk5_1(X1))
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]),
[final] ).
cnf(c_0_41,plain,
( ca_Vx3(esk7_1(esk2_1(i2003_11_14_17_16_39209)))
| ca_Vx4(esk2_1(i2003_11_14_17_16_39209)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]),
[final] ).
cnf(c_0_42,plain,
( cSatisfiable(X1)
| ~ rinvR(X2,X1)
| ~ ca_Vx5(X2)
| ~ ca_Vx4(X3)
| ~ rr(X1,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]),
[final] ).
cnf(c_0_43,plain,
( ca_Vx4(X1)
| ~ cSatisfiable(esk7_1(X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]),
[final] ).
cnf(c_0_44,plain,
( ca_Vx2(esk8_1(X1))
| ca_Vx5(X1)
| ~ ca_Vx4(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_36]),
[final] ).
cnf(c_0_45,plain,
( rinvR(esk2_1(X1),X1)
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_37]),
[final] ).
cnf(c_0_46,plain,
( cpxcomp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]),
[final] ).
cnf(c_0_47,plain,
( ra_Px1(X1,esk3_1(X1))
| cp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]),
[final] ).
fof(c_0_48,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_49,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
cnf(c_0_50,plain,
( ~ cpxcomp(X1)
| ~ cp(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_51,plain,
( cpxcomp(esk5_1(esk7_1(esk2_1(i2003_11_14_17_16_39209))))
| ca_Vx4(esk2_1(i2003_11_14_17_16_39209)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_34]),
[final] ).
cnf(c_0_52,plain,
( ca_Vx4(X1)
| ~ ca_Vx5(X1)
| ~ ca_Vx4(X2)
| ~ rr(esk7_1(X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_16]),c_0_43]),
[final] ).
cnf(c_0_53,plain,
( ca_Vx2(esk8_1(esk1_1(X1)))
| ca_Vx5(esk1_1(X1))
| ~ cSatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_25]),
[final] ).
cnf(c_0_54,plain,
( ca_Vx5(X1)
| ~ ca_Vx3(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]),
[final] ).
cnf(c_0_55,plain,
( ca_Vx3(X1)
| ~ cSatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_45]),c_0_22]),
[final] ).
cnf(c_0_56,plain,
( ca_Vx3(X1)
| ~ cpxcomp(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
cnf(c_0_57,plain,
( cpxcomp(X1)
| cp(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
fof(c_0_58,plain,
! [X24] :
( ( ~ xsd_string(X24)
| ~ xsd_integer(X24) )
& ( xsd_integer(X24)
| xsd_string(X24) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).
fof(c_0_59,plain,
! [X23] :
( cowlThing(X23)
& ~ cowlNothing(X23) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( ca_Vx4(esk2_1(i2003_11_14_17_16_39209))
| ~ cp(esk5_1(esk7_1(esk2_1(i2003_11_14_17_16_39209)))) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]),
[final] ).
cnf(c_0_61,plain,
( ca_Vx4(X1)
| ~ rinvR(X2,esk7_1(X1))
| ~ ca_Vx5(X1)
| ~ ca_Vx4(X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_33]),
[final] ).
cnf(c_0_62,plain,
( ca_Vx2(esk8_1(esk1_1(i2003_11_14_17_16_39209)))
| ca_Vx5(esk1_1(i2003_11_14_17_16_39209)) ),
inference(spm,[status(thm)],[c_0_53,c_0_31]),
[final] ).
cnf(c_0_63,plain,
( ca_Vx5(X1)
| ~ cSatisfiable(esk8_1(X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]),
[final] ).
cnf(c_0_64,plain,
( ca_Vx3(X1)
| cp(esk6_1(X1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
cnf(c_0_65,plain,
( rr1(X1,esk6_1(X1))
| ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]),
[final] ).
cnf(c_0_66,plain,
( cp(X2)
| ~ ca_Vx2(X1)
| ~ rr1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]),
[final] ).
cnf(c_0_67,plain,
( ca_Vx2(X1)
| ~ cp(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]),
[final] ).
cnf(c_0_68,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]),
[final] ).
cnf(c_0_69,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]),
[final] ).
cnf(c_0_70,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_59]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS050+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.11 % 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
% 0.12/0.31 % Computer : n007.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon May 4 20:34:53 EDT 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.32 % start to proof: theBenchmark
% 1.21/1.70 % Version : CSE_E---1.7
% 1.21/1.70 % Problem : theBenchmark.p
% 1.21/1.70 % SZS status Satisfiable for theBenchmark.p
% 1.21/1.70 % SZS output start Saturation
% See solution above
% 1.21/1.70 % Total time : 1.374s
%------------------------------------------------------------------------------