%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN072-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 09:36:58 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 48 ( 32 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 13 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_1,axiom,
! [VAR_0] :
( VAR_0 = d
| VAR_0 = c ),
file('theBenchmark.p',clause_1) ).
cnf(c_1,plain,
( A = d
| A = c ),
inference(clausify,[status(thm)],[clause_1]) ).
cnf(c_29,plain,
( A = d
| c = A ),
inference(copy,[status(thm)],[c_1]) ).
cnf(c_2,plain,
( d = A
| c = A ),
inference(copy,[status(thm)],[c_29]) ).
fof(clause_2,axiom,
big_p(a),
file('theBenchmark.p',clause_2) ).
cnf(c_3,plain,
big_p(a),
inference(clausify,[status(thm)],[clause_2]) ).
fof(clause_3,axiom,
big_p(b),
file('theBenchmark.p',clause_3) ).
cnf(c_4,plain,
big_p(b),
inference(clausify,[status(thm)],[clause_3]) ).
fof(clause_4,axiom,
a != b,
file('theBenchmark.p',clause_4) ).
cnf(c_5,plain,
a != b,
inference(clausify,[status(thm)],[clause_4]) ).
cnf(c_6,plain,
b != a,
inference(copy,[status(thm)],[c_5]) ).
fof(prove_this,axiom,
~ big_p(e),
file('theBenchmark.p',prove_this) ).
cnf(c_7,plain,
~ big_p(e),
inference(clausify,[status(thm)],[prove_this]) ).
cnf(c_9,plain,
( big_p(d)
| c = a ),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_10,plain,
( big_p(d)
| c = b ),
inference(paramod,[status(thm)],[c_2,c_4]) ).
cnf(c_11,plain,
( d != a
| c = b ),
inference(paramod,[status(thm)],[c_2,c_6]) ).
cnf(c_30,plain,
( ~ big_p(d)
| c = e ),
inference(paramod,[status(thm)],[c_2,c_7]) ).
cnf(c_13,plain,
( ~ big_p(d)
| e = c ),
inference(copy,[status(thm)],[c_30]) ).
cnf(c_16,plain,
( c = b
| e = c ),
inference(resolve,[status(thm)],[c_13,c_10]) ).
cnf(c_17,plain,
( c = a
| e = c ),
inference(resolve,[status(thm)],[c_13,c_9]) ).
cnf(c_19,plain,
( c = a
| c = b ),
inference(resolve,[status(thm)],[c_11,c_2]) ).
cnf(c_22,plain,
( ~ big_p(c)
| c = b ),
inference(paramod,[status(thm)],[c_16,c_7]) ).
cnf(c_23,plain,
( ~ big_p(c)
| c = a ),
inference(paramod,[status(thm)],[c_17,c_7]) ).
cnf(c_31,plain,
( ~ big_p(b)
| c = a
| c = a ),
inference(paramod,[status(thm)],[c_19,c_23]) ).
cnf(c_32,plain,
( ~ big_p(b)
| c = a ),
inference(copy,[status(thm)],[c_31]) ).
cnf(c_25,plain,
c = a,
inference(resolve,[status(thm)],[c_4,c_32]) ).
cnf(c_33,plain,
( ~ big_p(a)
| c = b ),
inference(paramod,[status(thm)],[c_25,c_22]) ).
cnf(c_27,plain,
c = b,
inference(resolve,[status(thm)],[c_3,c_33]) ).
cnf(c_34,plain,
b = a,
inference(paramod,[status(thm)],[c_27,c_25]) ).
cnf(c_28,plain,
$false,
inference(resolve,[status(thm)],[c_6,c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN072-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n009.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 17:09:29 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.42 % Process 686142 was started by sandbox on n009,
% 0.15/0.42 % Sat Sep 26 17:09:29 2026
% 0.15/0.42 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/0.42
% 0.15/0.42 % From the command line: assign(max_seconds, 300).
% 0.15/0.44
% 0.15/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.44
% 0.15/0.44 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/0.44 % Length of proof is 19.
% 0.15/0.44 % Level of proof is 7.
% 0.15/0.44 % Maximum clause weight is 11.000.
% 0.15/0.44 % Given clauses 17.
% 0.15/0.44
% 0.15/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------