%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS123+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 : n019.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 04:36:23 PM UTC 2026
% Result : Unsatisfiable 0.27s 1.61s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 8 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 118 ( 53 ~; 42 |; 11 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 67 ( 7 sgn 34 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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(axiom_9,axiom,
! [X1] :
( cd1xcomp(X1)
<=> ~ ? [X2] : ra_Px2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_6,axiom,
! [X1] :
( cd(X1)
<=> ~ ? [X2] : ra_Px1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_8,axiom,
! [X1] :
( cd1(X1)
<=> ? [X3] : ra_Px2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_7,axiom,
! [X1] :
( cdxcomp(X1)
<=> ? [X3] : ra_Px1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_2,axiom,
! [X1] :
( cUnsatisfiable(X1)
<=> ( cc(X1)
& cd(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_5,axiom,
! [X1] :
( cc1(X1)
=> cd1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_4,axiom,
! [X1] :
( cc1(X1)
=> cd1xcomp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_3,axiom,
! [X1] :
( cc(X1)
=> cdxcomp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_11,axiom,
! [X1] :
( cf(X1)
=> cd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_10,axiom,
! [X1] :
( ce3(X1)
=> cc(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_12,axiom,
cUnsatisfiable(i2003_11_14_17_22_02803),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(i_0_13,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(i_0_14,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(i_0_15,plain,
! [X38,X39,X40] :
( ( ~ cd1xcomp(X38)
| ~ ra_Px2(X38,X39) )
& ( ra_Px2(X40,esk4_1(X40))
| cd1xcomp(X40) ) ),
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_9])])])])]) ).
fof(i_0_16,plain,
! [X26,X27,X28] :
( ( ~ cd(X26)
| ~ ra_Px1(X26,X27) )
& ( ra_Px1(X28,esk1_1(X28))
| cd(X28) ) ),
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(i_0_17,plain,
! [X34,X36,X37] :
( ( ~ cd1(X34)
| ra_Px2(X34,esk3_1(X34)) )
& ( ~ ra_Px2(X36,X37)
| cd1(X36) ) ),
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(i_0_18,plain,
! [X30,X32,X33] :
( ( ~ cdxcomp(X30)
| ra_Px1(X30,esk2_1(X30)) )
& ( ~ ra_Px1(X32,X33)
| cdxcomp(X32) ) ),
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(i_0_19,plain,
! [X22] :
( ( cc(X22)
| ~ cUnsatisfiable(X22) )
& ( cd(X22)
| ~ cUnsatisfiable(X22) )
& ( ~ cc(X22)
| ~ cd(X22)
| cUnsatisfiable(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
fof(i_0_20,plain,
! [X21] :
( ( ~ xsd_string(X21)
| ~ xsd_integer(X21) )
& ( xsd_integer(X21)
| xsd_string(X21) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_13])]) ).
fof(i_0_21,plain,
! [X25] :
( ~ cc1(X25)
| cd1(X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).
fof(i_0_22,plain,
! [X24] :
( ~ cc1(X24)
| cd1xcomp(X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
fof(i_0_23,plain,
! [X23] :
( ~ cc(X23)
| cdxcomp(X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
fof(i_0_24,plain,
! [X43] :
( ~ cf(X43)
| cd(X43) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])]) ).
fof(i_0_25,plain,
! [X42] :
( ~ ce3(X42)
| cc(X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
fof(i_0_26,plain,
! [X20] :
( cowlThing(X20)
& ~ cowlNothing(X20) ),
inference(variable_rename,[status(thm)],[i_0_14]) ).
cnf(i_0_27,plain,
( ~ cd1xcomp(X1)
| ~ ra_Px2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_28,plain,
( ~ cd(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_29,plain,
( ra_Px2(X1,esk3_1(X1))
| ~ cd1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_30,plain,
( ra_Px1(X1,esk2_1(X1))
| ~ cdxcomp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_31,plain,
( cd1(X1)
| ~ ra_Px2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_32,plain,
( cdxcomp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_33,plain,
( ra_Px2(X1,esk4_1(X1))
| cd1xcomp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_34,plain,
( ra_Px1(X1,esk1_1(X1))
| cd(X1) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_35,plain,
( cUnsatisfiable(X1)
| ~ cc(X1)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_36,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_37,plain,
( cd1(X1)
| ~ cc1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_38,plain,
( cd1xcomp(X1)
| ~ cc1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_39,plain,
( cdxcomp(X1)
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_40,plain,
( cd(X1)
| ~ cf(X1) ),
inference(split_conjunct,[status(thm)],[i_0_24]),
[final] ).
cnf(i_0_41,plain,
( cd(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_42,plain,
( cc(X1)
| ~ ce3(X1) ),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_43,plain,
( cc(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_44,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_45,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[i_0_26]),
[final] ).
cnf(i_0_46,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(split_conjunct,[status(thm)],[axiom_12]),
[final] ).
cnf(i_0_47,plain,
cd(i2003_11_14_17_22_02803),
inference(scs_inference,[],[i_0_46,i_0_41]) ).
cnf(i_0_48,plain,
( ~ cUnsatisfiable(X1)
| cd(X1) ),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_49,plain,
cc(i2003_11_14_17_22_02803),
inference(scs_inference,[],[i_0_46,i_0_41,i_0_43]) ).
cnf(i_0_50,plain,
( ~ cUnsatisfiable(X1)
| cc(X1) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_51,plain,
~ ra_Px1(i2003_11_14_17_22_02803,X1),
inference(scs_inference,[],[i_0_46,i_0_41,i_0_43,i_0_28]) ).
cnf(i_0_52,plain,
( ~ cd(X1)
| ~ ra_Px1(X1,X2) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_53,plain,
~ cdxcomp(i2003_11_14_17_22_02803),
inference(scs_inference,[],[i_0_46,i_0_41,i_0_43,i_0_28,i_0_30]) ).
cnf(i_0_54,plain,
( ra_Px1(X1,esk2_1(X1))
| ~ cdxcomp(X1) ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_55,plain,
$false,
inference(scs_inference,[],[i_0_46,i_0_41,i_0_43,i_0_28,i_0_30,i_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS123+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n019.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:37:59 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.27/1.61 % Version : CSE_E---1.7
% 0.27/1.61 % Problem : theBenchmark.p
% 0.27/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.27/1.61 % SZS output start CNFRefutation
% See solution above
% 0.27/1.64 % Total time : 1.273s
%------------------------------------------------------------------------------