%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN356+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 : n010.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 05:36:55 PM UTC 2026
% Result : Theorem 1.23s 1.71s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 38 ( 12 ~; 8 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2107,conjecture,
( ( big_r(a,b)
& ! [X1,X2] :
( big_r(X1,X2)
=> ( big_r(X2,X1)
& big_q(X1,X2) ) )
& ! [X3,X4] :
( big_q(X3,X4)
=> big_q(X3,X3) ) )
=> ( big_q(a,a)
& big_q(b,b) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2107) ).
fof(c_0_1,negated_conjecture,
~ ( ( big_r(a,b)
& ! [X1,X2] :
( big_r(X1,X2)
=> ( big_r(X2,X1)
& big_q(X1,X2) ) )
& ! [X3,X4] :
( big_q(X3,X4)
=> big_q(X3,X3) ) )
=> ( big_q(a,a)
& big_q(b,b) ) ),
inference(assume_negation,[status(cth)],[x2107]) ).
fof(c_0_2,negated_conjecture,
! [X9,X10,X11,X12] :
( big_r(a,b)
& ( big_r(X10,X9)
| ~ big_r(X9,X10) )
& ( big_q(X9,X10)
| ~ big_r(X9,X10) )
& ( ~ big_q(X11,X12)
| big_q(X11,X11) )
& ( ~ big_q(a,a)
| ~ big_q(b,b) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
( big_q(X1,X2)
| ~ big_r(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
big_r(a,b),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( big_r(X1,X2)
| ~ big_r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( big_q(X1,X1)
| ~ big_q(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
big_q(a,b),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_8,negated_conjecture,
big_r(b,a),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( ~ big_q(a,a)
| ~ big_q(b,b) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
big_q(a,a),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
big_q(b,a),
inference(spm,[status(thm)],[c_0_3,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ big_q(b,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN356+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n010.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 08:29:36 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.23/1.71 % Version : CSE_E---1.7
% 1.23/1.71 % Problem : theBenchmark.p
% 1.23/1.71 % SZS status Theorem for theBenchmark.p
% 1.23/1.71 % SZS output start CNFRefutation
% See solution above
% 1.23/1.71 % Total time : 1.369s
%------------------------------------------------------------------------------