%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 : Thu Sep 24 03:08:34 PM UTC 2026
% Result : Theorem 0.02s 0.32s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 11 unt; 3 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 32 ~; 23 |; 1 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [VAR_V_35] :
( pred_attacker(tuple_T_out_4(VAR_V_35))
=> pred_attacker(VAR_V_35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [VAR_V_44] :
( pred_attacker(VAR_V_44)
=> pred_attacker(tuple_T_in_3(VAR_V_44)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [VAR_V_50X30] :
( pred_attacker(VAR_V_50X30)
=> pred_attacker(tuple_T_in_1(VAR_V_50X30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
pred_attacker(name_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [VAR_V_65] : pred_attacker(name_new0x2Dname(VAR_V_65)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,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('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f117,plain,
! [VAR_V_35] :
( pred_attacker(VAR_V_35)
| ~ pred_attacker(tuple_T_out_4(VAR_V_35)) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f118,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_4(X0)) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f123,plain,
! [VAR_V_44] :
( pred_attacker(tuple_T_in_3(VAR_V_44))
| ~ pred_attacker(VAR_V_44) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f124,plain,
! [X0] :
( pred_attacker(tuple_T_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f127,plain,
! [VAR_V_50X30] :
( pred_attacker(tuple_T_in_1(VAR_V_50X30))
| ~ pred_attacker(VAR_V_50X30) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f128,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f141,plain,
pred_attacker(name_c),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f143,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f146,plain,
! [VAR_K_XOR_K1_10X305,VAR_R1_10X306] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(VAR_R1_10X306))
| ~ pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) ),
inference(pre_NNF_transformation,[status(thm)],[f65]) ).
fof(f147,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ! [VAR_R1_10X306] : ~ pred_attacker(tuple_T_in_1(VAR_R1_10X306))
| ! [VAR_K_XOR_K1_10X305] : ~ pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) ),
inference(miniscoping,[status(thm)],[f146]) ).
fof(f148,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0)) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f150,definition,
! [X0] :
( sQ0_spl
<=> ~ pred_attacker(tuple_T_in_3(X0)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f151,plain,
! [X0] :
( ~ sQ0_spl
| ~ pred_attacker(tuple_T_in_3(X0)) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
! [X1] :
( sQ1_spl
<=> ~ pred_attacker(tuple_T_in_1(X1)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f154,plain,
! [X0] :
( ~ sQ1_spl
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ2_spl
<=> pred_attacker(tuple_T_out_4(name_objective)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ2_spl
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f148,f150,f153,f156]) ).
fof(f195,plain,
( ~ sQ2_spl
| pred_attacker(name_objective) ),
inference(resolution,[status(thm)],[f118,f157]) ).
fof(f197,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f195,f149]) ).
fof(f198,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f231,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f143,f241]) ).
fof(f241,plain,
! [X0] :
( ~ sQ0_spl
| ~ pred_attacker(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f151]) ).
fof(f242,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f231]) ).
fof(f243,plain,
! [X0] :
( ~ sQ1_spl
| ~ pred_attacker(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f128,f154]) ).
fof(f244,plain,
( ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f141,f243]) ).
fof(f253,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f244]) ).
fof(f254,plain,
$false,
inference(sat_refutation,[status(thm)],[f159,f198,f242,f253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 10:19:51 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.32 % Refutation found
% 0.02/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.33 % Elapsed time: 0.035876 seconds
% 0.07/0.33 % CPU time: 0.083757 seconds
% 0.07/0.33 % Total memory used: 68.052 MB
% 0.07/0.33 % Net memory used: 68.030 MB
%------------------------------------------------------------------------------