%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 09:14:56 AM UTC 2026
% Result : Theorem 0.07s 0.38s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 6 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 4 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax46,axiom,
! [VAR_V_35] :
( pred_attacker(tuple_T_out_4(VAR_V_35))
=> pred_attacker(VAR_V_35) ),
file('theBenchmark.p',ax46) ).
fof(ax49,axiom,
! [VAR_V_44] :
( pred_attacker(VAR_V_44)
=> pred_attacker(tuple_T_in_3(VAR_V_44)) ),
file('theBenchmark.p',ax49) ).
fof(ax51,axiom,
! [VAR_V_50X30] :
( pred_attacker(VAR_V_50X30)
=> pred_attacker(tuple_T_in_1(VAR_V_50X30)) ),
file('theBenchmark.p',ax51) ).
fof(ax64,axiom,
! [VAR_K_XOR_K1_10X305,VAR_R1_10X306] :
( ( pred_attacker(tuple_T_in_1(VAR_R1_10X306))
& pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
file('theBenchmark.p',ax64) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('theBenchmark.p',co0) ).
fof(co0_neg,negated_conjecture,
~ pred_attacker(name_objective),
inference(assume_negation,[status(cth)],[co0]) ).
fof(ax44,axiom,
pred_attacker(constr_ZERO),
file('theBenchmark.p',ax44) ).
cnf(c_99,plain,
pred_attacker(constr_ZERO),
inference(clausify,[status(thm)],[ax44]) ).
cnf(c_101,plain,
( pred_attacker(A)
| ~ pred_attacker(tuple_T_out_4(A)) ),
inference(clausify,[status(thm)],[ax46]) ).
cnf(c_104,plain,
( pred_attacker(tuple_T_in_3(A))
| ~ pred_attacker(A) ),
inference(clausify,[status(thm)],[ax49]) ).
cnf(c_106,plain,
( pred_attacker(tuple_T_in_1(A))
| ~ pred_attacker(A) ),
inference(clausify,[status(thm)],[ax51]) ).
cnf(c_116,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(B))
| ~ pred_attacker(tuple_T_in_3(A)) ),
inference(clausify,[status(thm)],[ax64]) ).
cnf(c_117,negated_conjecture,
~ pred_attacker(name_objective),
inference(clausify,[status(thm)],[co0_neg]) ).
cnf(c_134,plain,
pred_attacker(tuple_T_in_3(constr_ZERO)),
inference(resolve,[status(thm)],[c_104,c_99]) ).
cnf(c_214,negated_conjecture,
~ pred_attacker(tuple_T_out_4(name_objective)),
inference(resolve,[status(thm)],[c_101,c_117]) ).
cnf(c_434,plain,
pred_attacker(tuple_T_in_1(tuple_T_in_3(constr_ZERO))),
inference(resolve,[status(thm)],[c_106,c_134]) ).
cnf(c_460,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(A)) ),
inference(resolve,[status(thm)],[c_116,c_134]) ).
cnf(c_458,plain,
~ pred_attacker(tuple_T_in_1(A)),
inference(resolve,[status(thm)],[c_460,c_214]) ).
cnf(c_459,plain,
$false,
inference(resolve,[status(thm)],[c_458,c_434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 26 16:40:05 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.34 % Process 2204858 was started by sandbox2 on n002,
% 0.07/0.34 % Sat Sep 26 16:40:05 2026
% 0.07/0.34 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.07/0.35
% 0.07/0.35 % From the command line: assign(max_seconds, 300).
% 0.07/0.38
% 0.07/0.38 % SZS status Theorem for theBenchmark
% 0.07/0.38
% 0.07/0.38 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.07/0.38 % Length of proof is 16.
% 0.07/0.38 % Level of proof is 4.
% 0.07/0.38 % Maximum clause weight is 19.000.
% 0.07/0.38 % Given clauses 86.
% 0.07/0.38
% 0.07/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------