%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS148+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 : n011.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 04:36:43 PM UTC 2026
% Result : Theorem 1.32s 1.73s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 167 ( 73 ~; 65 |; 23 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_71,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC140(X1)
& cC116(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(axiom_72,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
fof(axiom_25,axiom,
! [X1] :
( cC140(X1)
<=> ( cTOP(X1)
& cC138(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(c_0_6,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_7,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_8,negated_conjecture,
( ( ~ xsd_string(esk40_0)
| xsd_integer(esk40_0)
| ~ cowlThing(esk39_0)
| cowlNothing(esk39_0)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) )
& ( xsd_string(esk40_0)
| ~ xsd_integer(esk40_0)
| ~ cowlThing(esk39_0)
| cowlNothing(esk39_0)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ) ),
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,
! [X119] :
( cowlThing(X119)
& ~ cowlNothing(X119) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_11,negated_conjecture,
( xsd_integer(esk40_0)
| cowlNothing(esk39_0)
| ~ xsd_string(esk40_0)
| ~ cowlThing(esk39_0)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X120] :
( ( ~ xsd_string(X120)
| ~ xsd_integer(X120) )
& ( xsd_integer(X120)
| xsd_string(X120) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_14,negated_conjecture,
( cowlNothing(esk39_0)
| xsd_integer(esk40_0)
| ~ xsd_string(esk40_0)
| ~ cC116(iV5475)
| ~ cC138(iV5475)
| ~ cC140(iV5475) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12])]) ).
cnf(c_0_15,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_16,plain,
! [X304] :
( ( cC140(X304)
| ~ cTEST(X304) )
& ( cC116(X304)
| ~ cTEST(X304) )
& ( ~ cC140(X304)
| ~ cC116(X304)
| cTEST(X304) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_71])])]) ).
cnf(c_0_17,negated_conjecture,
( xsd_string(esk40_0)
| cowlNothing(esk39_0)
| ~ xsd_integer(esk40_0)
| ~ cowlThing(esk39_0)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( xsd_integer(esk40_0)
| ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(esk40_0) ),
inference(sr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( cC116(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
cTEST(iV5475),
inference(split_conjunct,[status(thm)],[axiom_72]) ).
fof(c_0_22,plain,
! [X183] :
( ( cTOP(X183)
| ~ cC140(X183) )
& ( cC138(X183)
| ~ cC140(X183) )
& ( ~ cTOP(X183)
| ~ cC138(X183)
| cC140(X183) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_25])])]) ).
cnf(c_0_23,negated_conjecture,
( cowlNothing(esk39_0)
| xsd_string(esk40_0)
| ~ xsd_integer(esk40_0)
| ~ cC116(iV5475)
| ~ cC138(iV5475)
| ~ cC140(iV5475) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_12]),c_0_12])]) ).
cnf(c_0_24,negated_conjecture,
( ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(esk40_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
cC116(iV5475),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( cC138(X1)
| ~ cC140(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( xsd_string(esk40_0)
| ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ xsd_integer(esk40_0) ),
inference(sr,[status(thm)],[c_0_23,c_0_15]) ).
cnf(c_0_28,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_29,negated_conjecture,
( ~ cC140(iV5475)
| ~ xsd_string(esk40_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),c_0_26]) ).
cnf(c_0_30,plain,
( cC140(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,negated_conjecture,
~ cC140(iV5475),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_25])]),c_0_28]),c_0_26]),c_0_29]) ).
cnf(c_0_32,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_21]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS148+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
% 0.16/0.33 % Computer : n011.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 20:38:32 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.32/1.73 % Version : CSE_E---1.7
% 1.32/1.73 % Problem : theBenchmark.p
% 1.32/1.73 % SZS status Theorem for theBenchmark.p
% 1.32/1.73 % SZS output start CNFRefutation
% See solution above
% 1.32/1.73 % Total time : 1.369s
%------------------------------------------------------------------------------