%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG194+1 : TPTP v9.2.1. Released v2.7.0.
% 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 : n002.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 04:07:48 PM UTC 2026
% Result : Theorem 1.34s 1.74s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 3 unt; 0 def)
% Number of atoms : 209 ( 208 equ)
% Maximal formula atoms : 112 ( 10 avg)
% Number of connectives : 294 ( 105 ~; 113 |; 76 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
( ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
| ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
| ( ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ( ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
| ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
| ( ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
( ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 )
& ( op(e1,e1) = e1
| op(e0,e0) != e0 )
& ( op(e2,e2) = e2
| op(e0,e0) != e0 )
& ( op(e3,e3) = e3
| op(e0,e0) != e0 )
& ( op(e4,e4) = e4
| op(e0,e0) != e0 )
& ( op(e5,e5) = e5
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e0,e0) != e0 )
& ( op(e0,e0) = e0
| op(e1,e1) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e2,e2) = e2
| op(e1,e1) != e1 )
& ( op(e3,e3) = e3
| op(e1,e1) != e1 )
& ( op(e4,e4) = e4
| op(e1,e1) != e1 )
& ( op(e5,e5) = e5
| op(e1,e1) != e1 )
& ( op(e6,e6) = e6
| op(e1,e1) != e1 )
& ( op(e0,e0) = e0
| op(e2,e2) != e2 )
& ( op(e1,e1) = e1
| op(e2,e2) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e3,e3) = e3
| op(e2,e2) != e2 )
& ( op(e4,e4) = e4
| op(e2,e2) != e2 )
& ( op(e5,e5) = e5
| op(e2,e2) != e2 )
& ( op(e6,e6) = e6
| op(e2,e2) != e2 )
& ( op(e0,e0) = e0
| op(e3,e3) != e3 )
& ( op(e1,e1) = e1
| op(e3,e3) != e3 )
& ( op(e2,e2) = e2
| op(e3,e3) != e3 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e4,e4) = e4
| op(e3,e3) != e3 )
& ( op(e5,e5) = e5
| op(e3,e3) != e3 )
& ( op(e6,e6) = e6
| op(e3,e3) != e3 )
& ( op(e0,e0) = e0
| op(e4,e4) != e4 )
& ( op(e1,e1) = e1
| op(e4,e4) != e4 )
& ( op(e2,e2) = e2
| op(e4,e4) != e4 )
& ( op(e3,e3) = e3
| op(e4,e4) != e4 )
& ( op(e4,e4) = e4
| op(e4,e4) != e4 )
& ( op(e5,e5) = e5
| op(e4,e4) != e4 )
& ( op(e6,e6) = e6
| op(e4,e4) != e4 )
& ( op(e0,e0) = e0
| op(e5,e5) != e5 )
& ( op(e1,e1) = e1
| op(e5,e5) != e5 )
& ( op(e2,e2) = e2
| op(e5,e5) != e5 )
& ( op(e3,e3) = e3
| op(e5,e5) != e5 )
& ( op(e4,e4) = e4
| op(e5,e5) != e5 )
& ( op(e5,e5) = e5
| op(e5,e5) != e5 )
& ( op(e6,e6) = e6
| op(e5,e5) != e5 )
& ( op(e0,e0) = e0
| op(e6,e6) != e6 )
& ( op(e1,e1) = e1
| op(e6,e6) != e6 )
& ( op(e2,e2) = e2
| op(e6,e6) != e6 )
& ( op(e3,e3) = e3
| op(e6,e6) != e6 )
& ( op(e4,e4) = e4
| op(e6,e6) != e6 )
& ( op(e5,e5) = e5
| op(e6,e6) != e6 )
& ( op(e6,e6) = e6
| op(e6,e6) != e6 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])]) ).
cnf(c_0_3,negated_conjecture,
( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( op(e6,e6) = e6
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( op(e5,e5) = e5
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( op(e4,e4) = e4
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( op(e3,e3) = e3
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( op(e2,e2) = e2
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( op(e1,e1) = e1
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
op(e0,e0) != e0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3,c_0_4]),c_0_5]),c_0_6]),c_0_7]),c_0_8]),c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( op(e1,e1) = e1
| op(e6,e6) != e6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( op(e1,e1) = e1
| op(e5,e5) != e5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( op(e1,e1) = e1
| op(e4,e4) != e4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( op(e1,e1) = e1
| op(e3,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( op(e1,e1) = e1
| op(e2,e2) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( op(e0,e0) = e0
| op(e1,e1) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
op(e1,e1) = e1,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG194+1 : TPTP v9.2.1. Released v2.7.0.
% 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
% 0.16/0.34 % Computer : n002.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 10:24:31 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.34/1.74 % Version : CSE_E---1.7
% 1.34/1.74 % Problem : theBenchmark.p
% 1.34/1.74 % SZS status Theorem for theBenchmark.p
% 1.34/1.74 % SZS output start CNFRefutation
% See solution above
% 1.34/1.74 % Total time : 1.376s
%------------------------------------------------------------------------------