%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV413+1 : 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 : n005.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 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 31 ( 11 ~; 7 |; 10 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l49_co,conjecture,
! [X1,X2,X3,X4] :
( ( pair_in_list(X1,X2,X3)
& strictly_less_than(X2,X4)
& less_than(X4,X3) )
=> ? [X5] :
( pair_in_list(update_slb(X1,X4),X2,X5)
& less_than(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l49_co) ).
fof(l49_li3637,lemma,
! [X1,X2,X3,X4] :
( ( pair_in_list(X1,X2,X3)
& less_than(X4,X3) )
=> pair_in_list(update_slb(X1,X4),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l49_li3637) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( pair_in_list(X1,X2,X3)
& strictly_less_than(X2,X4)
& less_than(X4,X3) )
=> ? [X5] :
( pair_in_list(update_slb(X1,X4),X2,X5)
& less_than(X4,X5) ) ),
inference(assume_negation,[status(cth)],[l49_co]) ).
fof(c_0_3,negated_conjecture,
! [X117] :
( pair_in_list(esk1_0,esk2_0,esk3_0)
& strictly_less_than(esk2_0,esk4_0)
& less_than(esk4_0,esk3_0)
& ( ~ pair_in_list(update_slb(esk1_0,esk4_0),esk2_0,X117)
| ~ less_than(esk4_0,X117) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_4,lemma,
! [X109,X110,X111,X112] :
( ~ pair_in_list(X109,X110,X111)
| ~ less_than(X112,X111)
| pair_in_list(update_slb(X109,X112),X110,X111) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l49_li3637])]) ).
cnf(c_0_5,negated_conjecture,
( ~ pair_in_list(update_slb(esk1_0,esk4_0),esk2_0,X1)
| ~ less_than(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,lemma,
( pair_in_list(update_slb(X1,X4),X2,X3)
| ~ pair_in_list(X1,X2,X3)
| ~ less_than(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( ~ pair_in_list(esk1_0,esk2_0,X1)
| ~ less_than(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
pair_in_list(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
less_than(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV413+1 : 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
% 0.14/0.33 % Computer : n005.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 05:06:00 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Theorem for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------