%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS126+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 : n006.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 04:36:24 PM UTC 2026
% Result : Unsatisfiable 0.27s 1.62s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 49 ( 7 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 43 ~; 33 |; 8 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 61 ( 7 sgn 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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(axiom_5,axiom,
! [X1] :
( cd(X1)
<=> ~ ? [X2] : ra_Px1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_8,axiom,
! [X1] :
( cd1xcomp(X1)
<=> ~ ? [X2] : ra_Px2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_7,axiom,
! [X1] :
( cd1(X1)
<=> ? [X3] : ra_Px2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_6,axiom,
! [X1] :
( cdxcomp(X1)
<=> ? [X3] : ra_Px1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_10,axiom,
! [X1] :
( cf(X1)
=> cd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_4,axiom,
! [X1] :
( cc(X1)
=> cdxcomp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_9,axiom,
! [X1] :
( ce3(X1)
=> cc(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_3,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> cd1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_2,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> cd1xcomp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_22_23554),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(i_0_12,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(i_0_13,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(i_0_14,plain,
! [X24,X25,X26] :
( ( ~ cd(X24)
| ~ ra_Px1(X24,X25) )
& ( ra_Px1(X26,esk1_1(X26))
| cd(X26) ) ),
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(i_0_15,plain,
! [X36,X37,X38] :
( ( ~ cd1xcomp(X36)
| ~ ra_Px2(X36,X37) )
& ( ra_Px2(X38,esk4_1(X38))
| cd1xcomp(X38) ) ),
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_16,plain,
! [X32,X34,X35] :
( ( ~ cd1(X32)
| ra_Px2(X32,esk3_1(X32)) )
& ( ~ ra_Px2(X34,X35)
| cd1(X34) ) ),
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_17,plain,
! [X28,X30,X31] :
( ( ~ cdxcomp(X28)
| ra_Px1(X28,esk2_1(X28)) )
& ( ~ ra_Px1(X30,X31)
| cdxcomp(X30) ) ),
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_18,plain,
! [X20] :
( ( ~ xsd_string(X20)
| ~ xsd_integer(X20) )
& ( xsd_integer(X20)
| xsd_string(X20) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_12])]) ).
fof(i_0_19,plain,
! [X41] :
( ~ cf(X41)
| cd(X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])]) ).
fof(i_0_20,plain,
! [X23] :
( ~ cc(X23)
| cdxcomp(X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
fof(i_0_21,plain,
! [X40] :
( ~ ce3(X40)
| cc(X40) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
fof(i_0_22,plain,
! [X22] :
( ~ cUnsatisfiable(X22)
| cd1(X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
fof(i_0_23,plain,
! [X21] :
( ~ cUnsatisfiable(X21)
| cd1xcomp(X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
fof(i_0_24,plain,
! [X19] :
( cowlThing(X19)
& ~ cowlNothing(X19) ),
inference(variable_rename,[status(thm)],[i_0_13]) ).
cnf(i_0_25,plain,
( ~ cd(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_26,plain,
( ~ cd1xcomp(X1)
| ~ ra_Px2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_27,plain,
( ra_Px2(X1,esk3_1(X1))
| ~ cd1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_28,plain,
( ra_Px1(X1,esk2_1(X1))
| ~ cdxcomp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_29,plain,
( cdxcomp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_30,plain,
( cd1(X1)
| ~ ra_Px2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_31,plain,
( ra_Px1(X1,esk1_1(X1))
| cd(X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_32,plain,
( ra_Px2(X1,esk4_1(X1))
| cd1xcomp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_33,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_34,plain,
( cd(X1)
| ~ cf(X1) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_35,plain,
( cdxcomp(X1)
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_36,plain,
( cc(X1)
| ~ ce3(X1) ),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_37,plain,
( cd1(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_38,plain,
( cd1xcomp(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_39,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_40,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[i_0_24]),
[final] ).
cnf(i_0_41,plain,
cUnsatisfiable(i2003_11_14_17_22_23554),
inference(split_conjunct,[status(thm)],[axiom_11]),
[final] ).
cnf(i_0_42,plain,
cd1(i2003_11_14_17_22_23554),
inference(scs_inference,[],[i_0_41,i_0_37]) ).
cnf(i_0_43,plain,
( ~ cUnsatisfiable(X1)
| cd1(X1) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_44,plain,
cd1xcomp(i2003_11_14_17_22_23554),
inference(scs_inference,[],[i_0_41,i_0_37,i_0_38]) ).
cnf(i_0_45,plain,
( ~ cUnsatisfiable(X1)
| cd1xcomp(X1) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_46,plain,
~ ra_Px2(i2003_11_14_17_22_23554,X1),
inference(scs_inference,[],[i_0_41,i_0_37,i_0_38,i_0_26]) ).
cnf(i_0_47,plain,
( ~ cd1xcomp(X1)
| ~ ra_Px2(X1,X2) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_48,plain,
$false,
inference(scs_inference,[],[i_0_41,i_0_37,i_0_38,i_0_26,i_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS126+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n006.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:37:46 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.27/1.62 % Version : CSE_E---1.7
% 0.27/1.62 % Problem : theBenchmark.p
% 0.27/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.27/1.62 % SZS output start CNFRefutation
% See solution above
% 0.27/1.64 % Total time : 1.268s
%------------------------------------------------------------------------------