%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS140+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 : n010.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 04:36:42 PM UTC 2026
% Result : Theorem 1.27s 1.71s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 77 ( 16 unt; 0 def)
% Number of atoms : 258 ( 37 equ)
% Maximal formula atoms : 42 ( 3 avg)
% Number of connectives : 294 ( 113 ~; 152 |; 21 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 65 ( 27 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4,X5,X6] :
( ( rsymProp(X4,X5)
& rsymProp(X5,X6) )
=> rsymProp(X4,X6) )
& ? [X4] :
( rsymProp(ia,X4)
& cowlThing(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_5,axiom,
rsymProp(ia,ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_3,axiom,
! [X4,X5] :
( rsymProp(X4,X5)
=> rsymProp(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_2,axiom,
! [X4,X5] :
( rsymProp(X4,X5)
=> ( X5 = ia
| X5 = ib ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_7,axiom,
rsymProp(ib,ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(c_0_7,negated_conjecture,
~ ( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4,X5,X6] :
( ( rsymProp(X4,X5)
& rsymProp(X5,X6) )
=> rsymProp(X4,X6) )
& ? [X4] :
( rsymProp(ia,X4)
& cowlThing(X4) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_8,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_9,negated_conjecture,
! [X58] :
( ( rsymProp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ rsymProp(ia,X58)
| ~ cowlThing(X58) )
& ( rsymProp(esk4_0,esk5_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ rsymProp(ia,X58)
| ~ cowlThing(X58) )
& ( ~ rsymProp(esk3_0,esk5_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ rsymProp(ia,X58)
| ~ cowlThing(X58) )
& ( rsymProp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ rsymProp(ia,X58)
| ~ cowlThing(X58) )
& ( rsymProp(esk4_0,esk5_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ rsymProp(ia,X58)
| ~ cowlThing(X58) )
& ( ~ rsymProp(esk3_0,esk5_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ rsymProp(ia,X58)
| ~ cowlThing(X58) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
fof(c_0_10,plain,
! [X47] :
( cowlThing(X47)
& ~ cowlNothing(X47) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_12,negated_conjecture,
( rsymProp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ rsymProp(ia,X1)
| ~ cowlThing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X48] :
( ( ~ xsd_string(X48)
| ~ xsd_integer(X48) )
& ( xsd_integer(X48)
| xsd_string(X48) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
cnf(c_0_15,negated_conjecture,
( rsymProp(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ rsymProp(ia,X1)
| ~ cowlThing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rsymProp(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ rsymProp(ia,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13])]) ).
cnf(c_0_17,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rsymProp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ rsymProp(ia,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13]),c_0_13])]) ).
cnf(c_0_20,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ rsymProp(esk3_0,esk5_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ rsymProp(ia,X1)
| ~ cowlThing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_21,negated_conjecture,
( xsd_string(esk2_0)
| rsymProp(esk3_0,esk4_0)
| ~ rsymProp(ia,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,plain,
rsymProp(ia,ia),
inference(split_conjunct,[status(thm)],[axiom_5]) ).
cnf(c_0_23,negated_conjecture,
( xsd_integer(esk2_0)
| rsymProp(esk3_0,esk4_0)
| ~ rsymProp(ia,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_19,c_0_17]),c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( rsymProp(esk4_0,esk5_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ rsymProp(ia,X1)
| ~ cowlThing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
( rsymProp(esk4_0,esk5_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ rsymProp(ia,X1)
| ~ cowlThing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ rsymProp(esk3_0,esk5_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ rsymProp(ia,X1)
| ~ cowlThing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ rsymProp(ia,X1)
| ~ rsymProp(esk3_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_13]),c_0_13])]) ).
cnf(c_0_28,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_29,plain,
! [X51,X52] :
( ~ rsymProp(X51,X52)
| rsymProp(X52,X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
cnf(c_0_30,negated_conjecture,
( xsd_string(esk2_0)
| rsymProp(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( xsd_integer(esk2_0)
| rsymProp(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rsymProp(esk4_0,esk5_0)
| ~ xsd_integer(esk2_0)
| ~ rsymProp(ia,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_13]),c_0_13])]) ).
cnf(c_0_33,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rsymProp(esk4_0,esk5_0)
| ~ xsd_string(esk2_0)
| ~ rsymProp(ia,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_13]),c_0_13])]) ).
cnf(c_0_34,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ rsymProp(ia,X1)
| ~ rsymProp(esk3_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_13]),c_0_13])]) ).
cnf(c_0_35,negated_conjecture,
( ~ xsd_string(esk2_0)
| ~ rsymProp(esk3_0,esk5_0)
| ~ rsymProp(ia,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_27,c_0_17]),c_0_28]) ).
fof(c_0_36,plain,
! [X49,X50] :
( ~ rsymProp(X49,X50)
| X50 = ia
| X50 = ib ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
cnf(c_0_37,plain,
( rsymProp(X2,X1)
| ~ rsymProp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
rsymProp(esk3_0,esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_30]),c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( xsd_string(esk2_0)
| rsymProp(esk4_0,esk5_0)
| ~ rsymProp(ia,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_32,c_0_17]),c_0_18]) ).
cnf(c_0_40,negated_conjecture,
( xsd_integer(esk2_0)
| rsymProp(esk4_0,esk5_0)
| ~ rsymProp(ia,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_33,c_0_17]),c_0_18]) ).
cnf(c_0_41,negated_conjecture,
( ~ xsd_integer(esk2_0)
| ~ rsymProp(esk3_0,esk5_0)
| ~ rsymProp(ia,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_34,c_0_17]),c_0_35]) ).
cnf(c_0_42,plain,
( X2 = ia
| X2 = ib
| ~ rsymProp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
rsymProp(esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( xsd_string(esk2_0)
| rsymProp(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_22]) ).
cnf(c_0_45,negated_conjecture,
( xsd_integer(esk2_0)
| rsymProp(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_22]) ).
cnf(c_0_46,negated_conjecture,
( ~ rsymProp(esk3_0,esk5_0)
| ~ rsymProp(ia,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18]),c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( esk3_0 = ib
| esk3_0 = ia ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
rsymProp(esk4_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_44]),c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( esk3_0 = ia
| ~ rsymProp(ib,esk5_0)
| ~ rsymProp(ia,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( esk5_0 = ib
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_42,c_0_48]) ).
cnf(c_0_51,plain,
rsymProp(ib,ib),
inference(split_conjunct,[status(thm)],[axiom_7]) ).
cnf(c_0_52,negated_conjecture,
( esk4_0 = ib
| esk4_0 = ia ),
inference(spm,[status(thm)],[c_0_42,c_0_38]) ).
cnf(c_0_53,negated_conjecture,
( esk5_0 = ia
| esk3_0 = ia
| ~ rsymProp(ia,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_54,negated_conjecture,
( esk4_0 = ia
| rsymProp(ib,esk5_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
rsymProp(esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_37,c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( esk3_0 = ia
| esk5_0 = ia ),
inference(spm,[status(thm)],[c_0_53,c_0_22]) ).
cnf(c_0_57,negated_conjecture,
( esk4_0 = ia
| esk3_0 = ia
| ~ rsymProp(ia,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( esk3_0 = ia
| rsymProp(ia,esk4_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( esk5_0 = ia
| ~ rsymProp(esk3_0,ib)
| ~ rsymProp(ia,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_50]) ).
cnf(c_0_60,negated_conjecture,
( esk4_0 = ia
| rsymProp(esk3_0,ib) ),
inference(spm,[status(thm)],[c_0_38,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( esk3_0 = ia
| esk4_0 = ia ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,negated_conjecture,
( esk4_0 = ia
| esk5_0 = ia
| ~ rsymProp(ia,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( esk3_0 = ia
| ~ rsymProp(esk3_0,ia)
| ~ rsymProp(ia,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_56]) ).
cnf(c_0_64,negated_conjecture,
( esk3_0 = ia
| rsymProp(esk3_0,ia) ),
inference(spm,[status(thm)],[c_0_38,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
( esk5_0 = ia
| esk4_0 = ia ),
inference(spm,[status(thm)],[c_0_62,c_0_22]) ).
cnf(c_0_66,negated_conjecture,
( esk3_0 = ia
| ~ rsymProp(ia,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,negated_conjecture,
( esk3_0 = ia
| rsymProp(ia,esk5_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( esk4_0 = ia
| ~ rsymProp(esk3_0,ia)
| ~ rsymProp(ia,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
esk3_0 = ia,
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
( esk4_0 = ia
| ~ rsymProp(ia,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_22])]) ).
cnf(c_0_71,negated_conjecture,
rsymProp(ia,esk4_0),
inference(rw,[status(thm)],[c_0_38,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
esk4_0 = ia,
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_73,negated_conjecture,
( ~ rsymProp(ia,esk5_0)
| ~ rsymProp(ia,X1) ),
inference(rw,[status(thm)],[c_0_46,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
rsymProp(ia,esk5_0),
inference(rw,[status(thm)],[c_0_48,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
~ rsymProp(ia,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_76,plain,
$false,
inference(sr,[status(thm)],[c_0_22,c_0_75]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS140+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
% 0.15/0.32 % Computer : n010.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 20:38:06 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.27/1.71 % Version : CSE_E---1.7
% 1.27/1.71 % Problem : theBenchmark.p
% 1.27/1.71 % SZS status Theorem for theBenchmark.p
% 1.27/1.71 % SZS output start CNFRefutation
% See solution above
% 1.27/1.71 % Total time : 1.369s
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