%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG194+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 06:49:43 AM UTC 2026
% Result : Theorem 0.27s 0.52s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 1
% Syntax : Number of formulae : 54 ( 9 unt; 0 def)
% Number of atoms : 231 ( 230 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 301 ( 124 ~; 151 |; 26 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) )
| ( op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 )
| ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) ),
file('theBenchmark.p',co1) ).
fof(co1_neg,negated_conjecture,
~ ( ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) )
| ( op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 )
| ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) ),
inference(assume_negation,[status(cth)],[co1]) ).
cnf(c_518,negated_conjecture,
( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_519,negated_conjecture,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_520,negated_conjecture,
( op(e1,e1) = e1
| op(e0,e0) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_521,negated_conjecture,
( op(e2,e2) = e2
| op(e0,e0) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_522,negated_conjecture,
( op(e3,e3) = e3
| op(e0,e0) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_523,negated_conjecture,
( op(e4,e4) = e4
| op(e0,e0) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_524,negated_conjecture,
( op(e5,e5) = e5
| op(e0,e0) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_525,negated_conjecture,
( op(e6,e6) = e6
| op(e0,e0) != e0 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_526,negated_conjecture,
( op(e0,e0) = e0
| op(e1,e1) != e1 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_533,negated_conjecture,
( op(e1,e1) = e1
| op(e2,e2) != e2 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_540,negated_conjecture,
( op(e2,e2) = e2
| op(e3,e3) != e3 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_547,negated_conjecture,
( op(e3,e3) = e3
| op(e4,e4) != e4 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_554,negated_conjecture,
( op(e4,e4) = e4
| op(e5,e5) != e5 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_556,negated_conjecture,
( op(e0,e0) = e0
| op(e6,e6) != e6 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_614,negated_conjecture,
( op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| op(e0,e0) = e0 ),
inference(resolve,[status(thm)],[c_556,c_518]) ).
cnf(c_565,negated_conjecture,
( op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(copy,[status(thm)],[c_614]) ).
cnf(c_615,negated_conjecture,
( op(e4,e4) = e4
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolve,[status(thm)],[c_565,c_554]) ).
cnf(c_585,negated_conjecture,
( op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(copy,[status(thm)],[c_615]) ).
cnf(c_616,negated_conjecture,
( op(e3,e3) = e3
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolve,[status(thm)],[c_585,c_547]) ).
cnf(c_588,negated_conjecture,
( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(copy,[status(thm)],[c_616]) ).
cnf(c_617,negated_conjecture,
( op(e2,e2) = e2
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolve,[status(thm)],[c_588,c_540]) ).
cnf(c_592,negated_conjecture,
( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(copy,[status(thm)],[c_617]) ).
cnf(c_618,negated_conjecture,
( op(e1,e1) = e1
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolve,[status(thm)],[c_592,c_533]) ).
cnf(c_597,negated_conjecture,
( op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(copy,[status(thm)],[c_618]) ).
cnf(c_619,negated_conjecture,
( op(e0,e0) = e0
| op(e0,e0) = e0 ),
inference(resolve,[status(thm)],[c_597,c_526]) ).
cnf(c_603,negated_conjecture,
op(e0,e0) = e0,
inference(copy,[status(thm)],[c_619]) ).
cnf(c_620,negated_conjecture,
( op(e6,e6) = e6
| e0 != e0 ),
inference(paramod,[status(thm)],[c_603,c_525]) ).
cnf(c_607,negated_conjecture,
op(e6,e6) = e6,
inference(copy,[status(thm)],[c_620]) ).
cnf(c_621,negated_conjecture,
( op(e5,e5) = e5
| e0 != e0 ),
inference(paramod,[status(thm)],[c_603,c_524]) ).
cnf(c_608,negated_conjecture,
op(e5,e5) = e5,
inference(copy,[status(thm)],[c_621]) ).
cnf(c_622,negated_conjecture,
( op(e4,e4) = e4
| e0 != e0 ),
inference(paramod,[status(thm)],[c_603,c_523]) ).
cnf(c_609,negated_conjecture,
op(e4,e4) = e4,
inference(copy,[status(thm)],[c_622]) ).
cnf(c_623,negated_conjecture,
( op(e3,e3) = e3
| e0 != e0 ),
inference(paramod,[status(thm)],[c_603,c_522]) ).
cnf(c_610,negated_conjecture,
op(e3,e3) = e3,
inference(copy,[status(thm)],[c_623]) ).
cnf(c_624,negated_conjecture,
( op(e2,e2) = e2
| e0 != e0 ),
inference(paramod,[status(thm)],[c_603,c_521]) ).
cnf(c_611,negated_conjecture,
op(e2,e2) = e2,
inference(copy,[status(thm)],[c_624]) ).
cnf(c_625,negated_conjecture,
( op(e1,e1) = e1
| e0 != e0 ),
inference(paramod,[status(thm)],[c_603,c_520]) ).
cnf(c_612,negated_conjecture,
op(e1,e1) = e1,
inference(copy,[status(thm)],[c_625]) ).
cnf(c_626,negated_conjecture,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| e0 != e0 ),
inference(paramod,[status(thm)],[c_603,c_519]) ).
cnf(c_627,negated_conjecture,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| e1 != e1
| e0 != e0 ),
inference(paramod,[status(thm)],[c_612,c_626]) ).
cnf(c_628,negated_conjecture,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(paramod,[status(thm)],[c_611,c_627]) ).
cnf(c_629,negated_conjecture,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(paramod,[status(thm)],[c_610,c_628]) ).
cnf(c_630,negated_conjecture,
( op(e6,e6) != e6
| op(e5,e5) != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(paramod,[status(thm)],[c_609,c_629]) ).
cnf(c_631,negated_conjecture,
( op(e6,e6) != e6
| e5 != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(paramod,[status(thm)],[c_608,c_630]) ).
cnf(c_632,negated_conjecture,
( e6 != e6
| e5 != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(paramod,[status(thm)],[c_607,c_631]) ).
cnf(c_633,negated_conjecture,
( e6 != e6
| e5 != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1 ),
inference(copy,[status(thm)],[c_632]) ).
cnf(c_634,negated_conjecture,
( e6 != e6
| e5 != e5
| e4 != e4
| e3 != e3
| e2 != e2 ),
inference(copy,[status(thm)],[c_633]) ).
cnf(c_635,negated_conjecture,
( e6 != e6
| e5 != e5
| e4 != e4
| e3 != e3 ),
inference(copy,[status(thm)],[c_634]) ).
cnf(c_636,negated_conjecture,
( e6 != e6
| e5 != e5
| e4 != e4 ),
inference(copy,[status(thm)],[c_635]) ).
cnf(c_637,negated_conjecture,
( e6 != e6
| e5 != e5 ),
inference(copy,[status(thm)],[c_636]) ).
cnf(c_638,negated_conjecture,
e6 != e6,
inference(copy,[status(thm)],[c_637]) ).
cnf(c_613,negated_conjecture,
$false,
inference(copy,[status(thm)],[c_638]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG194+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 21:24:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 47124 was started by sandbox on n010,
% 0.10/0.37 % Sat Sep 26 21:24:45 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.42
% 0.10/0.42 % From the command line: assign(max_seconds, 300).
% 0.27/0.52
% 0.27/0.52 % given #500 (I,wt=8): 506 e5 != e1 # tptp_name(ax5). [clausify(5)].
% 0.27/0.52
% 0.27/0.52 % SZS status Theorem for theBenchmark
% 0.27/0.52
% 0.27/0.52 % Proof 1 at 0.07 (+ 0.01) seconds.
% 0.27/0.52 % Length of proof is 28.
% 0.27/0.52 % Level of proof is 9.
% 0.27/0.52 % Maximum clause weight is 45.000.
% 0.27/0.52 % Given clauses 561.
% 0.27/0.52
% 0.27/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------