%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRA001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 07:19:21 AM UTC 2026
% Result : Unsatisfiable 0.24s 5.52s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 50 ( 6 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 40 ~; 68 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_1,axiom,
( b
| a ),
file('theBenchmark.p',clause_1) ).
cnf(c_1,plain,
( b
| a ),
inference(clausify,[status(thm)],[clause_1]) ).
fof(clause_2,axiom,
( ~ b
| ~ a ),
file('theBenchmark.p',clause_2) ).
cnf(c_2,plain,
( ~ b
| ~ a ),
inference(clausify,[status(thm)],[clause_2]) ).
fof(clause_3,axiom,
( ~ d
| c
| a ),
file('theBenchmark.p',clause_3) ).
cnf(c_3,plain,
( ~ d
| c
| a ),
inference(clausify,[status(thm)],[clause_3]) ).
fof(clause_4,axiom,
( d
| ~ c
| a ),
file('theBenchmark.p',clause_4) ).
cnf(c_4,plain,
( d
| ~ c
| a ),
inference(clausify,[status(thm)],[clause_4]) ).
fof(clause_5,axiom,
( d
| c
| ~ a ),
file('theBenchmark.p',clause_5) ).
cnf(c_5,plain,
( d
| c
| ~ a ),
inference(clausify,[status(thm)],[clause_5]) ).
fof(clause_6,axiom,
( ~ d
| ~ c
| ~ a ),
file('theBenchmark.p',clause_6) ).
cnf(c_6,plain,
( ~ d
| ~ c
| ~ a ),
inference(clausify,[status(thm)],[clause_6]) ).
fof(clause_7,axiom,
( ~ e
| c
| b ),
file('theBenchmark.p',clause_7) ).
cnf(c_7,plain,
( ~ e
| c
| b ),
inference(clausify,[status(thm)],[clause_7]) ).
fof(clause_8,axiom,
( e
| ~ c
| b ),
file('theBenchmark.p',clause_8) ).
cnf(c_8,plain,
( e
| ~ c
| b ),
inference(clausify,[status(thm)],[clause_8]) ).
fof(clause_9,axiom,
( e
| c
| ~ b ),
file('theBenchmark.p',clause_9) ).
cnf(c_9,plain,
( e
| c
| ~ b ),
inference(clausify,[status(thm)],[clause_9]) ).
fof(clause_10,axiom,
( ~ e
| ~ c
| ~ b ),
file('theBenchmark.p',clause_10) ).
cnf(c_10,plain,
( ~ e
| ~ c
| ~ b ),
inference(clausify,[status(thm)],[clause_10]) ).
fof(clause_11,axiom,
( ~ e
| d ),
file('theBenchmark.p',clause_11) ).
cnf(c_11,plain,
( ~ e
| d ),
inference(clausify,[status(thm)],[clause_11]) ).
fof(clause_12,axiom,
( e
| ~ d ),
file('theBenchmark.p',clause_12) ).
cnf(c_12,plain,
( e
| ~ d ),
inference(clausify,[status(thm)],[clause_12]) ).
cnf(c_13,plain,
( a
| e
| c ),
inference(resolve,[status(thm)],[c_9,c_1]) ).
cnf(c_14,plain,
( a
| ~ e
| ~ c ),
inference(resolve,[status(thm)],[c_10,c_1]) ).
cnf(c_33,plain,
( d
| c
| e
| c ),
inference(resolve,[status(thm)],[c_13,c_5]) ).
cnf(c_15,plain,
( d
| e
| c ),
inference(copy,[status(thm)],[c_33]) ).
cnf(c_34,plain,
( d
| d
| c ),
inference(resolve,[status(thm)],[c_15,c_11]) ).
cnf(c_16,plain,
( d
| c ),
inference(copy,[status(thm)],[c_34]) ).
cnf(c_17,plain,
( e
| c ),
inference(resolve,[status(thm)],[c_16,c_12]) ).
cnf(c_35,plain,
( c
| a
| c ),
inference(resolve,[status(thm)],[c_16,c_3]) ).
cnf(c_18,plain,
( a
| c ),
inference(copy,[status(thm)],[c_35]) ).
cnf(c_36,plain,
( c
| b
| c ),
inference(resolve,[status(thm)],[c_17,c_7]) ).
cnf(c_19,plain,
( b
| c ),
inference(copy,[status(thm)],[c_36]) ).
cnf(c_20,plain,
( ~ a
| c ),
inference(resolve,[status(thm)],[c_19,c_2]) ).
cnf(c_37,plain,
( c
| c ),
inference(resolve,[status(thm)],[c_20,c_18]) ).
cnf(c_21,plain,
c,
inference(copy,[status(thm)],[c_37]) ).
cnf(c_22,plain,
( a
| ~ e ),
inference(resolve,[status(thm)],[c_21,c_14]) ).
cnf(c_24,plain,
( e
| b ),
inference(resolve,[status(thm)],[c_21,c_8]) ).
cnf(c_25,plain,
( ~ d
| ~ a ),
inference(resolve,[status(thm)],[c_21,c_6]) ).
cnf(c_26,plain,
( d
| a ),
inference(resolve,[status(thm)],[c_21,c_4]) ).
cnf(c_27,plain,
( ~ a
| e ),
inference(resolve,[status(thm)],[c_24,c_2]) ).
cnf(c_28,plain,
( d
| e ),
inference(resolve,[status(thm)],[c_27,c_26]) ).
cnf(c_38,plain,
( d
| d ),
inference(resolve,[status(thm)],[c_28,c_11]) ).
cnf(c_29,plain,
d,
inference(copy,[status(thm)],[c_38]) ).
cnf(c_30,plain,
~ a,
inference(resolve,[status(thm)],[c_29,c_25]) ).
cnf(c_31,plain,
e,
inference(resolve,[status(thm)],[c_29,c_12]) ).
cnf(c_39,plain,
a,
inference(resolve,[status(thm)],[c_31,c_22]) ).
cnf(c_32,plain,
$false,
inference(resolve,[status(thm)],[c_30,c_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.49 % Computer : n006.cluster.edu
% 0.19/5.49 % Model : x86_64 x86_64
% 0.19/5.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.49 % Memory : 8046.5625MB
% 0.19/5.49 % OS : Linux 6.8.0-71-generic
% 0.19/5.49 % CPULimit : 300
% 0.19/5.49 % WCLimit : 300
% 0.19/5.49 % DateTime : Fri Sep 25 13:47:18 UTC 2026
% 0.19/5.49 % CPUTime :
% 0.19/5.50 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/5.50 % Process 3045829 was started by sandbox2 on n006,
% 0.19/5.50 % Fri Sep 25 13:47:18 2026
% 0.19/5.50 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.24/5.50
% 0.24/5.50 % From the command line: assign(max_seconds, 300).
% 0.24/5.52
% 0.24/5.52 % SZS status Unsatisfiable for theBenchmark
% 0.24/5.52
% 0.24/5.52 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.24/5.52 % Length of proof is 31.
% 0.24/5.52 % Level of proof is 13.
% 0.24/5.52 % Maximum clause weight is 3.000.
% 0.24/5.52 % Given clauses 28.
% 0.24/5.52
% 0.24/5.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------