%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS129+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 04:36:24 PM UTC 2026
% Result : Theorem 1.13s 1.61s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 6 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 107 ( 47 ~; 39 |; 15 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 31 ( 4 sgn 18 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& cEuroMP(iKinnock) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_3,axiom,
! [X4] :
( cEuroMP(X4)
<=> ? [X5] :
( risEuroMPFrom(X4,X5)
& cowlThing(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_5,axiom,
! [X4,X5] :
( risEuroMPFrom(X4,X5)
<=> rhasEuroMP(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_13,axiom,
rhasEuroMP(iUK,iKinnock),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(c_0_6,negated_conjecture,
~ ( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& cEuroMP(iKinnock) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_7,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_8,negated_conjecture,
( ( ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0)
| ~ cEuroMP(iKinnock) )
& ( xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0)
| ~ cEuroMP(iKinnock) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,plain,
! [X73] :
( cowlThing(X73)
& ~ cowlNothing(X73) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_11,plain,
! [X76,X78,X79] :
( ( risEuroMPFrom(X76,esk1_1(X76))
| ~ cEuroMP(X76) )
& ( cowlThing(esk1_1(X76))
| ~ cEuroMP(X76) )
& ( ~ risEuroMPFrom(X78,X79)
| ~ cowlThing(X79)
| cEuroMP(X78) ) ),
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_3])])])])])]) ).
cnf(c_0_12,negated_conjecture,
( xsd_integer(esk3_0)
| cowlNothing(esk2_0)
| ~ xsd_string(esk3_0)
| ~ cowlThing(esk2_0)
| ~ cEuroMP(iKinnock) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X74] :
( ( ~ xsd_string(X74)
| ~ xsd_integer(X74) )
& ( xsd_integer(X74)
| xsd_string(X74) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_15,negated_conjecture,
( xsd_string(esk3_0)
| cowlNothing(esk2_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| ~ cEuroMP(iKinnock) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( cEuroMP(X1)
| ~ risEuroMPFrom(X1,X2)
| ~ cowlThing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X82,X83] :
( ( ~ risEuroMPFrom(X82,X83)
| rhasEuroMP(X83,X82) )
& ( ~ rhasEuroMP(X83,X82)
| risEuroMPFrom(X82,X83) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).
cnf(c_0_18,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ cEuroMP(iKinnock)
| ~ xsd_string(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_19,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ cEuroMP(iKinnock)
| ~ xsd_integer(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13])]) ).
cnf(c_0_22,plain,
( cEuroMP(X1)
| ~ risEuroMPFrom(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13])]) ).
cnf(c_0_23,plain,
( risEuroMPFrom(X2,X1)
| ~ rhasEuroMP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( ~ xsd_string(esk3_0)
| ~ cEuroMP(iKinnock) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_25,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,negated_conjecture,
( ~ xsd_integer(esk3_0)
| ~ cEuroMP(iKinnock) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_21,c_0_19]),c_0_20]) ).
cnf(c_0_27,plain,
( cEuroMP(X1)
| ~ rhasEuroMP(X2,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
rhasEuroMP(iUK,iKinnock),
inference(split_conjunct,[status(thm)],[axiom_13]) ).
cnf(c_0_29,negated_conjecture,
~ cEuroMP(iKinnock),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : KRS129+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
% 0.08/0.24 % Computer : n012.cluster.edu
% 0.08/0.24 % Model : x86_64 x86_64
% 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.24 % Memory : 8042.1875MB
% 0.08/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.24 % CPULimit : 300
% 0.08/0.24 % WCLimit : 300
% 0.08/0.24 % DateTime : Mon May 4 20:37:31 EDT 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.25 % 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 Theorem for theBenchmark.p
% 1.13/1.61 % SZS output start CNFRefutation
% See solution above
% 1.13/1.61 % Total time : 1.361s
%------------------------------------------------------------------------------