%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN403+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n006.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 05:37:01 PM UTC 2026
% Result : Theorem 0.26s 1.63s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 24 ( 7 ~; 4 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish234,conjecture,
! [X1] :
( ( ( f(X1)
=> g(X1) )
& ( g(X1)
=> h(X1) ) )
=> ( f(X1)
=> h(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish234) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ( ( f(X1)
=> g(X1) )
& ( g(X1)
=> h(X1) ) )
=> ( f(X1)
=> h(X1) ) ),
inference(assume_negation,[status(cth)],[kalish234]) ).
fof(c_0_2,negated_conjecture,
( ( ~ f(esk1_0)
| g(esk1_0) )
& ( ~ g(esk1_0)
| h(esk1_0) )
& f(esk1_0)
& ~ h(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3,negated_conjecture,
( g(esk1_0)
| ~ f(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
f(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( h(esk1_0)
| ~ g(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
g(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]) ).
cnf(c_0_7,negated_conjecture,
~ h(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYN403+1 : TPTP v9.2.1. Released v2.0.0.
% 0.13/0.13 % 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
% 0.17/0.34 % Computer : n006.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 08:31:31 EDT 2026
% 0.17/0.35 % CPUTime :
% 0.19/0.36 % start to proof: theBenchmark
% 0.26/1.63 % Version : CSE_E---1.7
% 0.26/1.63 % Problem : theBenchmark.p
% 0.26/1.63 % SZS status Theorem for theBenchmark.p
% 0.26/1.63 % SZS output start CNFRefutation
% See solution above
% 0.26/1.63 % Total time : 1.271s
%------------------------------------------------------------------------------