%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN050+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n011.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 05:35:54 PM UTC 2026
% Result : Theorem 0.25s 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 31 ( 9 ~; 6 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 25 ( 5 sgn 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel20,conjecture,
( ! [X1,X2] :
? [X3] :
! [X4] :
( ( big_p(X1)
& big_q(X2) )
=> ( big_r(X3)
& big_s(X4) ) )
=> ? [X5,X6] :
( ( big_p(X5)
& big_q(X6) )
=> ? [X7] : big_r(X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel20) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1,X2] :
? [X3] :
! [X4] :
( ( big_p(X1)
& big_q(X2) )
=> ( big_r(X3)
& big_s(X4) ) )
=> ? [X5,X6] :
( ( big_p(X5)
& big_q(X6) )
=> ? [X7] : big_r(X7) ) ),
inference(assume_negation,[status(cth)],[pel20]) ).
fof(c_0_2,negated_conjecture,
! [X15,X16,X18,X19,X20,X21] :
( ( big_r(esk1_0)
| ~ big_p(X15)
| ~ big_q(X16) )
& ( big_s(X18)
| ~ big_p(X15)
| ~ big_q(X16) )
& big_p(X19)
& big_q(X20)
& ~ big_r(X21) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( big_r(esk1_0)
| ~ big_p(X1)
| ~ big_q(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
big_p(X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
big_q(X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
big_r(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]),c_0_5])]) ).
cnf(c_0_7,negated_conjecture,
~ big_r(X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_6,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN050+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n011.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 08:06:32 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Theorem for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% See solution above
% 0.25/1.61 % Total time : 1.271s
%------------------------------------------------------------------------------