%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV415+2 : TPTP v9.2.1. Released v3.3.0.
% 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 : n026.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 11.79s 8.20s
% Output : CNFRefutation 11.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 21 unt; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 11 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 18 con; 0-3 aty)
% Number of variables : 140 ( 52 sgn 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(big2_induction,axiom,
( ( ! [X1,X2,X3,X4] : i(triple(X1,create_slb,X3)) = i(triple(X2,create_slb,X4))
& ! [X5] :
( ! [X6,X7,X8,X9] : i(triple(X6,X5,X8)) = i(triple(X7,X5,X9))
=> ! [X10,X11,X12,X13,X14,X15] : i(triple(X10,insert_slb(X5,pair(X14,X15)),X12)) = i(triple(X11,insert_slb(X5,pair(X14,X15)),X13)) ) )
=> ! [X16,X17,X18,X19,X20] : i(triple(X16,X18,X19)) = i(triple(X17,X18,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',big2_induction) ).
fof(ax54,axiom,
! [X1,X2] : i(triple(X1,create_slb,X2)) = create_pq,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax',ax54) ).
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/sandbox2/benchmark/Axioms/SWV007+4.ax',ax55) ).
fof(ax42,axiom,
! [X1,X2,X3,X4] : insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax42) ).
fof(co2,conjecture,
! [X1,X2,X3,X4] : i(insert_cpq(triple(X1,X2,X3),X4)) = insert_pq(i(triple(X1,X2,X3)),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co2) ).
fof(c_0_5,plain,
! [X381,X382,X383,X384,X391,X392,X393,X394,X395] :
( ( i(triple(X381,esk9_0,X383)) = i(triple(X382,esk9_0,X384))
| i(triple(esk5_0,create_slb,esk7_0)) != i(triple(esk6_0,create_slb,esk8_0))
| i(triple(X391,X393,X394)) = i(triple(X392,X393,X395)) )
& ( i(triple(esk10_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk12_0)) != i(triple(esk11_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk13_0))
| i(triple(esk5_0,create_slb,esk7_0)) != i(triple(esk6_0,create_slb,esk8_0))
| i(triple(X391,X393,X394)) = i(triple(X392,X393,X395)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[big2_induction])])])])]) ).
fof(c_0_6,plain,
! [X349,X350] : i(triple(X349,create_slb,X350)) = create_pq,
inference(variable_rename,[status(thm)],[ax54]) ).
fof(c_0_7,plain,
! [X351,X352,X353,X354,X355] : i(triple(X351,insert_slb(X352,pair(X354,X355)),X353)) = insert_pq(i(triple(X351,X352,X353)),X354),
inference(variable_rename,[status(thm)],[ax55]) ).
cnf(c_0_8,plain,
( i(triple(X1,esk9_0,X2)) = i(triple(X3,esk9_0,X4))
| i(triple(X5,X6,X7)) = i(triple(X8,X6,X9))
| i(triple(esk5_0,create_slb,esk7_0)) != i(triple(esk6_0,create_slb,esk8_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
i(triple(X1,create_slb,X2)) = create_pq,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,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_7]) ).
fof(c_0_11,plain,
! [X315,X316,X317,X318] : insert_cpq(triple(X315,X316,X317),X318) = triple(insert_pqp(X315,X318),insert_slb(X316,pair(X318,bottom)),X317),
inference(variable_rename,[status(thm)],[ax42]) ).
cnf(c_0_12,plain,
( i(triple(X1,X2,X3)) = i(triple(X4,X2,X5))
| i(triple(esk10_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk12_0)) != i(triple(esk11_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk13_0))
| i(triple(esk5_0,create_slb,esk7_0)) != i(triple(esk6_0,create_slb,esk8_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( i(triple(X1,esk9_0,X2)) = i(triple(X3,esk9_0,X4))
| i(triple(X5,X6,X7)) = i(triple(X8,X6,X9)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9])]) ).
cnf(c_0_14,plain,
i(triple(X1,insert_slb(X2,pair(X3,X4)),X5)) = i(triple(X1,insert_slb(X2,pair(X3,X6)),X5)),
inference(spm,[status(thm)],[c_0_10,c_0_10]) ).
cnf(c_0_15,plain,
insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( i(triple(X1,X2,X3)) = i(triple(X4,X2,X5))
| i(triple(esk10_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk12_0)) != i(triple(esk11_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_9]),c_0_9])]) ).
cnf(c_0_17,plain,
i(triple(X1,esk9_0,X2)) = i(triple(X3,esk9_0,X4)),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_13]),c_0_13]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1,X2,X3,X4] : i(insert_cpq(triple(X1,X2,X3),X4)) = insert_pq(i(triple(X1,X2,X3)),X4),
inference(assume_negation,[status(cth)],[co2]) ).
cnf(c_0_19,plain,
i(triple(insert_pqp(X1,X2),insert_slb(X3,pair(X2,X4)),X5)) = i(insert_cpq(triple(X1,X3,X5),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( i(triple(X1,X2,X3)) = i(triple(X4,X2,X5))
| i(triple(esk10_0,insert_slb(esk9_0,pair(esk14_0,X6)),esk12_0)) != i(triple(esk11_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk13_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_21,plain,
i(triple(X1,insert_slb(esk9_0,pair(X2,X3)),X4)) = insert_pq(i(triple(X5,esk9_0,X6)),X2),
inference(spm,[status(thm)],[c_0_10,c_0_17]) ).
fof(c_0_22,negated_conjecture,
i(insert_cpq(triple(esk16_0,esk17_0,esk18_0),esk19_0)) != insert_pq(i(triple(esk16_0,esk17_0,esk18_0)),esk19_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_23,plain,
insert_pq(i(triple(insert_pqp(X1,X2),X3,X4)),X2) = i(insert_cpq(triple(X1,X3,X4),X2)),
inference(spm,[status(thm)],[c_0_10,c_0_19]) ).
cnf(c_0_24,plain,
i(triple(X1,X2,X3)) = i(triple(X4,X2,X5)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_10]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
i(insert_cpq(triple(esk16_0,esk17_0,esk18_0),esk19_0)) != insert_pq(i(triple(esk16_0,esk17_0,esk18_0)),esk19_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
insert_pq(i(triple(X1,X2,X3)),X4) = i(insert_cpq(triple(X5,X2,X6),X4)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_25,c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV415+2 : TPTP v9.2.1. Released v3.3.0.
% 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
% 0.14/0.32 % Computer : n026.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 : Tue May 5 05:08:53 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 11.79/8.20 % Version : CSE_E---1.7
% 11.79/8.20 % Problem : theBenchmark.p
% 11.79/8.20 % SZS status Theorem for theBenchmark.p
% 11.79/8.20 % SZS output start CNFRefutation
% See solution above
% 11.79/8.24 % Total time : 6.382s
%------------------------------------------------------------------------------