%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV416+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 : 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 05:22:07 PM UTC 2026
% Result : Theorem 1.31s 1.73s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 46 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 15 ~; 11 |; 6 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 6 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax56,axiom,
! [X1,X2] :
( pi_sharp_remove(X1,X2)
<=> contains_pq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax56) ).
fof(ax57,axiom,
! [X1,X2] :
( pi_remove(X1,X2)
<=> pi_sharp_remove(i(X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax57) ).
fof(co3,conjecture,
! [X1,X2,X3,X4] :
( pi_remove(triple(X1,X2,X3),X4)
=> ( phi(remove_cpq(triple(X1,X2,X3),X4))
=> ( pi_sharp_remove(i(triple(X1,X2,X3)),X4)
& i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co3) ).
fof(main3_li12,lemma,
! [X1,X2,X3,X4,X5] : i(triple(X1,X3,X4)) = i(triple(X2,X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main3_li12) ).
fof(main3_li34,lemma,
! [X1,X2,X3,X4] :
( contains_pq(i(triple(X1,X2,X3)),X4)
=> i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main3_li34) ).
fof(c_0_5,plain,
! [X330,X331] :
( ( ~ pi_sharp_remove(X330,X331)
| contains_pq(X330,X331) )
& ( ~ contains_pq(X330,X331)
| pi_sharp_remove(X330,X331) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])]) ).
fof(c_0_6,plain,
! [X332,X333] :
( ( ~ pi_remove(X332,X333)
| pi_sharp_remove(i(X332),X333) )
& ( ~ pi_sharp_remove(i(X332),X333)
| pi_remove(X332,X333) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( pi_remove(triple(X1,X2,X3),X4)
=> ( phi(remove_cpq(triple(X1,X2,X3),X4))
=> ( pi_sharp_remove(i(triple(X1,X2,X3)),X4)
& i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4) ) ) ),
inference(assume_negation,[status(cth)],[co3]) ).
cnf(c_0_8,plain,
( contains_pq(X1,X2)
| ~ pi_sharp_remove(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( pi_sharp_remove(i(X1),X2)
| ~ pi_remove(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,negated_conjecture,
( pi_remove(triple(esk5_0,esk6_0,esk7_0),esk8_0)
& phi(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0))
& ( ~ pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)
| i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)) != remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_11,plain,
( contains_pq(i(X1),X2)
| ~ pi_remove(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
pi_remove(triple(esk5_0,esk6_0,esk7_0),esk8_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,lemma,
! [X350,X351,X352,X353,X354] : i(triple(X350,X352,X353)) = i(triple(X351,X352,X354)),
inference(variable_rename,[status(thm)],[main3_li12]) ).
cnf(c_0_14,negated_conjecture,
( ~ pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)
| i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)) != remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,lemma,
! [X355,X356,X357,X358] :
( ~ contains_pq(i(triple(X355,X356,X357)),X358)
| i(remove_cpq(triple(X355,X356,X357),X358)) = remove_pq(i(triple(X355,X356,X357)),X358) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[main3_li34])]) ).
cnf(c_0_16,negated_conjecture,
contains_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,lemma,
i(triple(X1,X2,X3)) = i(triple(X4,X2,X5)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0) != i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_9]),c_0_12])]) ).
cnf(c_0_19,lemma,
( i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4)
| ~ contains_pq(i(triple(X1,X2,X3)),X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
contains_pq(i(triple(X1,esk6_0,X2)),esk8_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV416+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % 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
% 0.16/0.33 % 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 : Tue May 5 05:08:02 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.31/1.73 % Version : CSE_E---1.7
% 1.31/1.73 % Problem : theBenchmark.p
% 1.31/1.73 % SZS status Theorem for theBenchmark.p
% 1.31/1.73 % SZS output start CNFRefutation
% See solution above
% 1.31/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------