%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS131+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 : n022.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 1.27s 1.71s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 6 unt; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 217 ( 86 ~; 102 |; 18 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 49 ( 6 sgn 26 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cnotA(X1)
<=> ~ cA(X1) ) ),
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_2,axiom,
! [X1] :
( cA(X1)
<=> ? [X2] :
( rq(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_5,axiom,
! [X1] :
( cnotA(X1)
<=> ! [X2] :
( rq(X1,X2)
=> cNothing(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_4,axiom,
! [X1] :
( cNothing(X1)
=> ? [X3] : rp(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_3,axiom,
! [X1] :
( cNothing(X1)
=> ~ ? [X2] : rp(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(c_0_7,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cnotA(X1)
<=> ~ cA(X1) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_8,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_9,negated_conjecture,
( ( ~ cnotA(esk6_0)
| cA(esk6_0)
| ~ xsd_string(esk5_0)
| xsd_integer(esk5_0)
| ~ cowlThing(esk4_0)
| cowlNothing(esk4_0) )
& ( cnotA(esk6_0)
| ~ cA(esk6_0)
| ~ xsd_string(esk5_0)
| xsd_integer(esk5_0)
| ~ cowlThing(esk4_0)
| cowlNothing(esk4_0) )
& ( ~ cnotA(esk6_0)
| cA(esk6_0)
| xsd_string(esk5_0)
| ~ xsd_integer(esk5_0)
| ~ cowlThing(esk4_0)
| cowlNothing(esk4_0) )
& ( cnotA(esk6_0)
| ~ cA(esk6_0)
| xsd_string(esk5_0)
| ~ xsd_integer(esk5_0)
| ~ cowlThing(esk4_0)
| cowlNothing(esk4_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_10,plain,
! [X17] :
( cowlThing(X17)
& ~ cowlNothing(X17) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( cnotA(esk6_0)
| xsd_integer(esk5_0)
| cowlNothing(esk4_0)
| ~ cA(esk6_0)
| ~ xsd_string(esk5_0)
| ~ cowlThing(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_14,plain,
! [X19,X21,X22] :
( ( rq(X19,esk1_1(X19))
| ~ cA(X19) )
& ( cowlThing(esk1_1(X19))
| ~ cA(X19) )
& ( ~ rq(X21,X22)
| ~ cowlThing(X22)
| cA(X21) ) ),
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_2])])])])])]) ).
cnf(c_0_15,negated_conjecture,
( cowlNothing(esk4_0)
| xsd_integer(esk5_0)
| cnotA(esk6_0)
| ~ xsd_string(esk5_0)
| ~ cA(esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
cnf(c_0_16,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_17,plain,
! [X18] :
( ( ~ xsd_string(X18)
| ~ xsd_integer(X18) )
& ( xsd_integer(X18)
| xsd_string(X18) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_18,plain,
( cA(X1)
| ~ rq(X1,X2)
| ~ cowlThing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X27,X28,X29] :
( ( ~ cnotA(X27)
| ~ rq(X27,X28)
| cNothing(X28) )
& ( rq(X29,esk3_1(X29))
| cnotA(X29) )
& ( ~ cNothing(esk3_1(X29))
| cnotA(X29) ) ),
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_5])])])])])]) ).
cnf(c_0_20,negated_conjecture,
( cnotA(esk6_0)
| xsd_integer(esk5_0)
| ~ cA(esk6_0)
| ~ xsd_string(esk5_0) ),
inference(sr,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( cA(X1)
| ~ rq(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_12])]) ).
cnf(c_0_23,plain,
( rq(X1,esk3_1(X1))
| cnotA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( cA(esk6_0)
| xsd_integer(esk5_0)
| cowlNothing(esk4_0)
| ~ cnotA(esk6_0)
| ~ xsd_string(esk5_0)
| ~ cowlThing(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
( cnotA(esk6_0)
| xsd_string(esk5_0)
| cowlNothing(esk4_0)
| ~ cA(esk6_0)
| ~ xsd_integer(esk5_0)
| ~ cowlThing(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( cnotA(esk6_0)
| xsd_integer(esk5_0)
| ~ cA(esk6_0) ),
inference(csr,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
( cnotA(X1)
| cA(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( cowlNothing(esk4_0)
| xsd_integer(esk5_0)
| cA(esk6_0)
| ~ xsd_string(esk5_0)
| ~ cnotA(esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_12])]) ).
cnf(c_0_29,negated_conjecture,
( cowlNothing(esk4_0)
| xsd_string(esk5_0)
| cnotA(esk6_0)
| ~ xsd_integer(esk5_0)
| ~ cA(esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_12])]) ).
cnf(c_0_30,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,negated_conjecture,
( cnotA(esk6_0)
| xsd_integer(esk5_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_32,plain,
! [X25] :
( ~ cNothing(X25)
| rp(X25,esk2_1(X25)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).
fof(c_0_33,plain,
! [X23,X24] :
( ~ cNothing(X23)
| ~ rp(X23,X24) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_34,negated_conjecture,
( cA(esk6_0)
| xsd_integer(esk5_0)
| ~ cnotA(esk6_0)
| ~ xsd_string(esk5_0) ),
inference(sr,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_35,negated_conjecture,
( cnotA(esk6_0)
| xsd_string(esk5_0)
| ~ cA(esk6_0)
| ~ xsd_integer(esk5_0) ),
inference(sr,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_36,negated_conjecture,
( cnotA(esk6_0)
| ~ xsd_string(esk5_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( rp(X1,esk2_1(X1))
| ~ cNothing(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( ~ cNothing(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( cA(esk6_0)
| xsd_string(esk5_0)
| cowlNothing(esk4_0)
| ~ cnotA(esk6_0)
| ~ xsd_integer(esk5_0)
| ~ cowlThing(esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,negated_conjecture,
( cA(esk6_0)
| xsd_integer(esk5_0)
| ~ cnotA(esk6_0) ),
inference(csr,[status(thm)],[c_0_34,c_0_21]) ).
cnf(c_0_41,negated_conjecture,
cnotA(esk6_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_31]),c_0_36]) ).
cnf(c_0_42,plain,
( cNothing(X2)
| ~ cnotA(X1)
| ~ rq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_43,plain,
~ cNothing(X1),
inference(csr,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( cowlNothing(esk4_0)
| xsd_string(esk5_0)
| cA(esk6_0)
| ~ xsd_integer(esk5_0)
| ~ cnotA(esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_12])]) ).
cnf(c_0_45,negated_conjecture,
( cA(esk6_0)
| xsd_integer(esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_46,plain,
( ~ cnotA(X1)
| ~ rq(X1,X2) ),
inference(sr,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
( rq(X1,esk1_1(X1))
| ~ cA(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_48,negated_conjecture,
( cA(esk6_0)
| xsd_string(esk5_0)
| ~ cnotA(esk6_0)
| ~ xsd_integer(esk5_0) ),
inference(sr,[status(thm)],[c_0_44,c_0_16]) ).
cnf(c_0_49,negated_conjecture,
( cA(esk6_0)
| ~ xsd_string(esk5_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
cnf(c_0_50,plain,
( ~ cnotA(X1)
| ~ cA(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
cA(esk6_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_41])]),c_0_21]),c_0_49]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS131+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n022.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 20:37:36 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % 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 : 1.374s
%------------------------------------------------------------------------------