%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV400+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 : n001.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 05:22:05 PM UTC 2026
% Result : Theorem 0.30s 1.66s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 15 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 3 ~; 0 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l36_co,conjecture,
! [X1,X2,X3,X4] :
( ( pair_in_list(create_slb,X2,X3)
& less_than(X4,X3) )
=> pair_in_list(update_slb(create_slb,X4),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l36_co) ).
fof(ax28,axiom,
! [X1] : update_slb(create_slb,X1) = create_slb,
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax28) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( pair_in_list(create_slb,X2,X3)
& less_than(X4,X3) )
=> pair_in_list(update_slb(create_slb,X4),X2,X3) ),
inference(assume_negation,[status(cth)],[l36_co]) ).
fof(c_0_3,negated_conjecture,
( pair_in_list(create_slb,esk1_0,esk2_0)
& less_than(esk3_0,esk2_0)
& ~ pair_in_list(update_slb(create_slb,esk3_0),esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])])]) ).
fof(c_0_4,plain,
! [X95] : update_slb(create_slb,X95) = create_slb,
inference(variable_rename,[status(thm)],[ax28]) ).
cnf(c_0_5,negated_conjecture,
~ pair_in_list(update_slb(create_slb,esk3_0),esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
update_slb(create_slb,X1) = create_slb,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
pair_in_list(create_slb,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV400+1 : TPTP v9.2.1. Released v3.3.0.
% 0.08/0.14 % 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
% 0.18/0.36 % Computer : n001.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Tue May 5 05:07:48 EDT 2026
% 0.18/0.36 % CPUTime :
% 0.18/0.38 % start to proof: theBenchmark
% 0.30/1.66 % Version : CSE_E---1.7
% 0.30/1.66 % Problem : theBenchmark.p
% 0.30/1.66 % SZS status Theorem for theBenchmark.p
% 0.30/1.66 % SZS output start CNFRefutation
% See solution above
% 0.30/1.66 % Total time : 1.276s
%------------------------------------------------------------------------------