%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV370+1 : TPTP v9.2.1. Released v3.3.0.
% 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 : n008.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 05:22:01 PM UTC 2026
% Result : Theorem 1.36s 1.76s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 97 ( 17 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 92 ( 34 ~; 41 |; 8 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 121 ( 26 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l6_co,conjecture,
! [X1] :
( ! [X2,X3,X4] :
( contains_cpq(triple(X2,X1,X3),X4)
<=> contains_pq(i(triple(X2,X1,X3)),X4) )
=> ! [X5,X6,X7,X8,X9] :
( contains_cpq(triple(X5,insert_slb(X1,pair(X7,X8)),X6),X9)
<=> contains_pq(i(triple(X5,insert_slb(X1,pair(X7,X8)),X6)),X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_co) ).
fof(ax39,axiom,
! [X1,X2,X3,X4] :
( contains_cpq(triple(X1,X2,X3),X4)
<=> contains_slb(X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax39) ).
fof(ax9,axiom,
! [X1,X2,X3] :
( contains_pq(insert_pq(X1,X2),X3)
<=> ( contains_pq(X1,X3)
| X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+1.ax',ax9) ).
fof(ax55,axiom,
! [X1,X2,X3,X4,X5] : i(triple(X1,insert_slb(X2,pair(X4,X5)),X3)) = insert_pq(i(triple(X1,X2,X3)),X4),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax55) ).
fof(ax21,axiom,
! [X1,X2,X3,X4] :
( contains_slb(insert_slb(X1,pair(X2,X4)),X3)
<=> ( contains_slb(X1,X3)
| X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax21) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ! [X2,X3,X4] :
( contains_cpq(triple(X2,X1,X3),X4)
<=> contains_pq(i(triple(X2,X1,X3)),X4) )
=> ! [X5,X6,X7,X8,X9] :
( contains_cpq(triple(X5,insert_slb(X1,pair(X7,X8)),X6),X9)
<=> contains_pq(i(triple(X5,insert_slb(X1,pair(X7,X8)),X6)),X9) ) ),
inference(assume_negation,[status(cth)],[l6_co]) ).
fof(c_0_6,negated_conjecture,
! [X351,X352,X353] :
( ( ~ contains_cpq(triple(X351,esk5_0,X352),X353)
| contains_pq(i(triple(X351,esk5_0,X352)),X353) )
& ( ~ contains_pq(i(triple(X351,esk5_0,X352)),X353)
| contains_cpq(triple(X351,esk5_0,X352),X353) )
& ( ~ contains_cpq(triple(esk6_0,insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk7_0),esk10_0)
| ~ contains_pq(i(triple(esk6_0,insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk7_0)),esk10_0) )
& ( contains_cpq(triple(esk6_0,insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk7_0),esk10_0)
| contains_pq(i(triple(esk6_0,insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk7_0)),esk10_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_7,plain,
! [X280,X281,X282,X283] :
( ( ~ contains_cpq(triple(X280,X281,X282),X283)
| contains_slb(X281,X283) )
& ( ~ contains_slb(X281,X283)
| contains_cpq(triple(X280,X281,X282),X283) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax39])]) ).
fof(c_0_8,plain,
! [X194,X195,X196] :
( ( ~ contains_pq(insert_pq(X194,X195),X196)
| contains_pq(X194,X196)
| X195 = X196 )
& ( ~ contains_pq(X194,X196)
| contains_pq(insert_pq(X194,X195),X196) )
& ( X195 != X196
| contains_pq(insert_pq(X194,X195),X196) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])])]) ).
fof(c_0_9,plain,
! [X325,X326,X327,X328,X329] : i(triple(X325,insert_slb(X326,pair(X328,X329)),X327)) = insert_pq(i(triple(X325,X326,X327)),X328),
inference(variable_rename,[status(thm)],[ax55]) ).
cnf(c_0_10,negated_conjecture,
( ~ contains_cpq(triple(esk6_0,insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk7_0),esk10_0)
| ~ contains_pq(i(triple(esk6_0,insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk7_0)),esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( contains_cpq(triple(X3,X1,X4),X2)
| ~ contains_slb(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( contains_pq(insert_pq(X1,X3),X2)
| ~ contains_pq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
i(triple(X1,insert_slb(X2,pair(X3,X4)),X5)) = insert_pq(i(triple(X1,X2,X5)),X3),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( contains_pq(X1,X3)
| X2 = X3
| ~ contains_pq(insert_pq(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( contains_slb(X2,X4)
| ~ contains_cpq(triple(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( contains_cpq(triple(esk6_0,insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk7_0),esk10_0)
| contains_pq(i(triple(esk6_0,insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk7_0)),esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( ~ contains_slb(insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk10_0)
| ~ contains_pq(i(triple(esk6_0,insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk7_0)),esk10_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,plain,
( contains_pq(i(triple(X1,insert_slb(X2,pair(X3,X4)),X5)),X6)
| ~ contains_pq(i(triple(X1,X2,X5)),X6) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( contains_pq(i(triple(X1,esk5_0,X2)),X3)
| ~ contains_cpq(triple(X1,esk5_0,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_20,plain,
! [X223,X224,X225,X226] :
( ( ~ contains_slb(insert_slb(X223,pair(X224,X226)),X225)
| contains_slb(X223,X225)
| X224 = X225 )
& ( ~ contains_slb(X223,X225)
| contains_slb(insert_slb(X223,pair(X224,X226)),X225) )
& ( X224 != X225
| contains_slb(insert_slb(X223,pair(X224,X226)),X225) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
cnf(c_0_21,negated_conjecture,
( contains_cpq(triple(X1,esk5_0,X2),X3)
| ~ contains_pq(i(triple(X1,esk5_0,X2)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,plain,
( X1 = X2
| contains_pq(i(triple(X3,X4,X5)),X2)
| ~ contains_pq(i(triple(X3,insert_slb(X4,pair(X1,X6)),X5)),X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( contains_slb(insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk10_0)
| contains_pq(i(triple(esk6_0,insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk7_0)),esk10_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( ~ contains_slb(insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk10_0)
| ~ contains_pq(i(triple(esk6_0,esk5_0,esk7_0)),esk10_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( contains_pq(i(triple(X1,esk5_0,X2)),X3)
| ~ contains_slb(esk5_0,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_26,plain,
( contains_slb(insert_slb(X1,pair(X3,X4)),X2)
| ~ contains_slb(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( contains_slb(esk5_0,X1)
| ~ contains_pq(i(triple(X2,esk5_0,X3)),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( esk10_0 = esk8_0
| contains_slb(insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk10_0)
| contains_pq(i(triple(esk6_0,esk5_0,esk7_0)),esk10_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
~ contains_slb(esk5_0,esk10_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,plain,
( contains_pq(insert_pq(X3,X1),X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,plain,
( contains_slb(X1,X4)
| X2 = X4
| ~ contains_slb(insert_slb(X1,pair(X2,X3)),X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
( esk10_0 = esk8_0
| contains_slb(insert_slb(esk5_0,pair(esk8_0,esk9_0)),esk10_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_33,plain,
( contains_slb(insert_slb(X3,pair(X1,X4)),X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,plain,
contains_pq(insert_pq(X1,X2),X2),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
esk10_0 = esk8_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_29]) ).
cnf(c_0_36,plain,
contains_slb(insert_slb(X1,pair(X2,X3)),X2),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
contains_pq(i(triple(X1,insert_slb(X2,pair(X3,X4)),X5)),X3),
inference(spm,[status(thm)],[c_0_34,c_0_13]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_35]),c_0_36]),c_0_35]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV370+1 : TPTP v9.2.1. Released v3.3.0.
% 0.11/0.13 % 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
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 5 05:05:28 EDT 2026
% 0.14/0.34 % CPUTime :
% 0.18/0.35 % start to proof: theBenchmark
% 1.36/1.76 % Version : CSE_E---1.7
% 1.36/1.76 % Problem : theBenchmark.p
% 1.36/1.76 % SZS status Theorem for theBenchmark.p
% 1.36/1.76 % SZS output start CNFRefutation
% See solution above
% 1.36/1.77 % Total time : 1.376s
%------------------------------------------------------------------------------