TSTP Solution File: SWW950+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW950+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 : 600s
% DateTime : Thu Jul 21 01:29:23 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 6 unt; 0 nHn; 18 RR)
% Number of literals : 34 ( 0 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
~ pred_attacker(name_objective),
file('SWW950+1.p',unknown),
[] ).
cnf(12,axiom,
pred_attacker(name_new0x2Dname(u)),
file('SWW950+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ pred_attacker(tuple_T_out_4(u))
| pred_attacker(u) ),
file('SWW950+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ pred_attacker(tuple_T_out_2(u))
| pred_attacker(u) ),
file('SWW950+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ pred_attacker(u)
| pred_attacker(tuple_T_in_1(u)) ),
file('SWW950+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ pred_attacker(tuple_T_in_1(u))
| pred_attacker(u) ),
file('SWW950+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ pred_attacker(u)
| ~ pred_attacker(v)
| pred_attacker(tuple_T_in_3(v,u)) ),
file('SWW950+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ pred_attacker(tuple_T_in_1(u))
| pred_attacker(tuple_T_out_2(constr_h(constr_xor(u,constr_xor(name_k0x30,name_ki))))) ),
file('SWW950+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ pred_attacker(tuple_T_in_1(u))
| ~ pred_attacker(tuple_T_in_3(v,constr_h(constr_xor(v,constr_xor(name_k0x30,name_ki)))))
| pred_attacker(tuple_T_out_4(name_objective)) ),
file('SWW950+1.p',unknown),
[] ).
cnf(78,plain,
~ pred_attacker(tuple_T_out_4(name_objective)),
inference(res,[status(thm),theory(equality)],[62,10]),
[iquote('0:Res:62.1,10.0')] ).
cnf(83,plain,
( ~ pred_attacker(tuple_T_in_1(u))
| ~ pred_attacker(tuple_T_in_3(v,constr_h(constr_xor(v,constr_xor(name_k0x30,name_ki))))) ),
inference(mrr,[status(thm)],[76,78]),
[iquote('0:MRR:76.2,78.0')] ).
cnf(183,plain,
( ~ pred_attacker(tuple_T_in_1(u))
| pred_attacker(constr_h(constr_xor(u,constr_xor(name_k0x30,name_ki)))) ),
inference(res,[status(thm),theory(equality)],[75,64]),
[iquote('0:Res:75.1,64.0')] ).
cnf(196,plain,
( ~ pred_attacker(constr_h(constr_xor(u,constr_xor(name_k0x30,name_ki))))
| ~ pred_attacker(u)
| ~ pred_attacker(tuple_T_in_1(v)) ),
inference(res,[status(thm),theory(equality)],[73,83]),
[iquote('0:Res:73.2,83.1')] ).
cnf(839,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(tuple_T_in_1(v))
| ~ pred_attacker(tuple_T_in_1(u)) ),
inference(sor,[status(thm)],[196,183]),
[iquote('0:SoR:196.0,183.1')] ).
cnf(842,plain,
( ~ pred_attacker(u)
| ~ pred_attacker(tuple_T_in_1(u)) ),
inference(con,[status(thm)],[839]),
[iquote('0:Con:839.1')] ).
cnf(843,plain,
~ pred_attacker(tuple_T_in_1(u)),
inference(mrr,[status(thm)],[842,66]),
[iquote('0:MRR:842.0,66.1')] ).
cnf(844,plain,
~ pred_attacker(u),
inference(mrr,[status(thm)],[65,843]),
[iquote('0:MRR:65.1,843.0')] ).
cnf(845,plain,
$false,
inference(unc,[status(thm)],[844,12]),
[iquote('0:UnC:844.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW950+1 : TPTP v8.1.0. Released v7.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 4 14:21:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.51
% 0.21/0.51 SPASS V 3.9
% 0.21/0.51 SPASS beiseite: Proof found.
% 0.21/0.51 % SZS status Theorem
% 0.21/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 SPASS derived 531 clauses, backtracked 0 clauses, performed 0 splits and kept 195 clauses.
% 0.21/0.51 SPASS allocated 98182 KBytes.
% 0.21/0.51 SPASS spent 0:00:00.15 on the problem.
% 0.21/0.51 0:00:00.03 for the input.
% 0.21/0.51 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.51 0:00:00.01 for inferences.
% 0.21/0.51 0:00:00.00 for the backtracking.
% 0.21/0.51 0:00:00.06 for the reduction.
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 Here is a proof with depth 2, length 18 :
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.51 Formulae used in the proof : co0 ax72 ax55 ax57 ax61 ax62 ax58 ax73 ax74
% 0.21/0.51
%------------------------------------------------------------------------------