%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS170+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 : n015.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 04:36:46 PM UTC 2026
% Result : Theorem 1.24s 1.71s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 55 ( 8 unt; 0 def)
% Number of atoms : 235 ( 0 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 285 ( 105 ~; 151 |; 20 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 30 ( 2 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X2] :
( rhasLeader(X1,X2)
=> rhasHead(X1,X2) )
& ! [X1,X2] :
( rhasHead(X1,X2)
=> rhasLeader(X1,X2) ) ),
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,X2] :
( rhasLeader(X1,X2)
<=> rhasHead(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X2] :
( rhasLeader(X1,X2)
=> rhasHead(X1,X2) )
& ! [X1,X2] :
( rhasHead(X1,X2)
=> rhasLeader(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_5,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_6,negated_conjecture,
( ( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasHead(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasHead(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X13] :
( cowlThing(X13)
& ~ cowlNothing(X13) ),
inference(variable_rename,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_9,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X14] :
( ( ~ xsd_string(X14)
| ~ xsd_integer(X14) )
& ( xsd_integer(X14)
| xsd_string(X14) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
cnf(c_0_12,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_14,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X15,X16] :
( ( ~ rhasLeader(X15,X16)
| rhasHead(X15,X16) )
& ( ~ rhasHead(X15,X16)
| rhasLeader(X15,X16) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
cnf(c_0_17,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_string(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10])]) ).
cnf(c_0_20,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_21,plain,
( rhasHead(X1,X2)
| ~ rhasLeader(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_10])]) ).
cnf(c_0_23,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_10])]) ).
cnf(c_0_24,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_19,c_0_14]),c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_integer(esk2_0)
| ~ rhasLeader(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ xsd_string(esk2_0) ),
inference(sr,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_28,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_23,c_0_14]),c_0_15]) ).
cnf(c_0_29,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_30,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_10])]) ).
cnf(c_0_31,plain,
( rhasLeader(X1,X2)
| ~ rhasHead(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_15]),c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_35,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_10])]) ).
cnf(c_0_36,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[c_0_30,c_0_14]) ).
cnf(c_0_37,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,negated_conjecture,
xsd_integer(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_10])]) ).
cnf(c_0_40,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_41,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[c_0_36,c_0_15]) ).
cnf(c_0_42,negated_conjecture,
~ xsd_string(esk2_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_44,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[c_0_39,c_0_14]) ).
cnf(c_0_45,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0)
| ~ rhasLeader(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_21]),c_0_15]) ).
cnf(c_0_46,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| ~ rhasLeader(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_21]),c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rhasLeader(esk3_0,esk4_0)
| rhasHead(esk5_0,esk6_0)
| ~ xsd_integer(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_10])]) ).
cnf(c_0_48,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasLeader(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_44,c_0_15]),c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( rhasLeader(esk5_0,esk6_0)
| ~ rhasLeader(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( rhasHead(esk5_0,esk6_0)
| rhasLeader(esk3_0,esk4_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_47,c_0_14]),c_0_15]) ).
cnf(c_0_51,negated_conjecture,
~ rhasLeader(esk3_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_42]) ).
cnf(c_0_52,negated_conjecture,
rhasHead(esk5_0,esk6_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_50,c_0_42]),c_0_51]) ).
cnf(c_0_53,negated_conjecture,
rhasLeader(esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_31,c_0_52]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_53])]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS170+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 : n015.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 20:39:17 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.24/1.71 % Version : CSE_E---1.7
% 1.24/1.71 % Problem : theBenchmark.p
% 1.24/1.71 % SZS status Theorem for theBenchmark.p
% 1.24/1.71 % SZS output start CNFRefutation
% See solution above
% 1.24/1.71 % Total time : 1.368s
%------------------------------------------------------------------------------