%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV366+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 : n007.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 1.44s 1.77s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 58 ( 16 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l2_co,conjecture,
! [X1] :
( ! [X2,X3,X4,X5] : i(triple(X2,X1,X4)) = i(triple(X3,X1,X5))
=> ! [X6,X7,X8,X9,X10,X11] : i(triple(X6,insert_slb(X1,pair(X10,X11)),X8)) = i(triple(X7,insert_slb(X1,pair(X10,X11)),X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_co) ).
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(c_0_2,negated_conjecture,
~ ! [X1] :
( ! [X2,X3,X4,X5] : i(triple(X2,X1,X4)) = i(triple(X3,X1,X5))
=> ! [X6,X7,X8,X9,X10,X11] : i(triple(X6,insert_slb(X1,pair(X10,X11)),X8)) = i(triple(X7,insert_slb(X1,pair(X10,X11)),X9)) ),
inference(assume_negation,[status(cth)],[l2_co]) ).
fof(c_0_3,plain,
! [X329,X330,X331,X332,X333] : i(triple(X329,insert_slb(X330,pair(X332,X333)),X331)) = insert_pq(i(triple(X329,X330,X331)),X332),
inference(variable_rename,[status(thm)],[ax55]) ).
fof(c_0_4,negated_conjecture,
! [X355,X356,X357,X358] :
( i(triple(X355,esk5_0,X357)) = i(triple(X356,esk5_0,X358))
& i(triple(esk6_0,insert_slb(esk5_0,pair(esk10_0,esk11_0)),esk8_0)) != i(triple(esk7_0,insert_slb(esk5_0,pair(esk10_0,esk11_0)),esk9_0)) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
cnf(c_0_5,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_3]) ).
cnf(c_0_6,negated_conjecture,
i(triple(X1,esk5_0,X2)) = i(triple(X3,esk5_0,X4)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
i(triple(X1,insert_slb(esk5_0,pair(X2,X3)),X4)) = insert_pq(i(triple(X5,esk5_0,X6)),X2),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
i(triple(esk6_0,insert_slb(esk5_0,pair(esk10_0,esk11_0)),esk8_0)) != i(triple(esk7_0,insert_slb(esk5_0,pair(esk10_0,esk11_0)),esk9_0)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
i(triple(X1,insert_slb(esk5_0,pair(X2,X3)),X4)) = i(triple(X5,insert_slb(esk5_0,pair(X2,X6)),X7)),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_8,c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV366+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
% 0.15/0.33 % Computer : n007.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 05:05:09 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.44/1.77 % Version : CSE_E---1.7
% 1.44/1.77 % Problem : theBenchmark.p
% 1.44/1.77 % SZS status Theorem for theBenchmark.p
% 1.44/1.77 % SZS output start CNFRefutation
% See solution above
% 1.44/1.77 % Total time : 1.373s
%------------------------------------------------------------------------------