%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW950+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 0.26s 0.60s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of formulae : 75 ( 18 unt; 8 def)
% Number of atoms : 150 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 142 ( 67 ~; 57 |; 3 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,axiom,
! [VAR_X_10X30] : constr_xor(VAR_X_10X30,VAR_X_10X30) = constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [VAR_X_9] : constr_xor(VAR_X_9,constr_ZERO) = VAR_X_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [VAR_X_7,VAR_Y_8] : constr_xor(VAR_X_7,VAR_Y_8) = constr_xor(VAR_Y_8,VAR_X_7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [VAR_V_29,VAR_V_30X30] :
( ( pred_attacker(VAR_V_30X30)
& pred_attacker(VAR_V_29) )
=> pred_attacker(constr_xor(VAR_V_29,VAR_V_30X30)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
pred_attacker(constr_ZERO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [VAR_V_38] :
( pred_attacker(tuple_T_out_4(VAR_V_38))
=> pred_attacker(VAR_V_38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [VAR_V_44] :
( pred_attacker(tuple_T_out_2(VAR_V_44))
=> pred_attacker(VAR_V_44) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [VAR_V_48,VAR_V_49] :
( ( pred_attacker(VAR_V_49)
& pred_attacker(VAR_V_48) )
=> pred_attacker(tuple_T_in_3(VAR_V_48,VAR_V_49)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [VAR_V_63] :
( pred_attacker(VAR_V_63)
=> pred_attacker(tuple_T_in_1(VAR_V_63)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [VAR_V_78] : pred_attacker(name_new0x2Dname(VAR_V_78)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [VAR_R_10X308] :
( pred_attacker(tuple_T_in_1(VAR_R_10X308))
=> pred_attacker(tuple_T_out_2(constr_h(constr_xor(VAR_R_10X308,constr_xor(name_k0x30,name_ki))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [VAR_A_143,VAR_R_144] :
( ( pred_attacker(tuple_T_in_1(VAR_R_144))
& pred_attacker(tuple_T_in_3(VAR_A_143,constr_h(constr_xor(VAR_A_143,constr_xor(name_k0x30,name_ki))))) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f76]) ).
fof(f123,plain,
! [X0] : constr_xor(X0,X0) = constr_ZERO,
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f124,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f125,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f127,plain,
! [VAR_V_29,VAR_V_30X30] :
( pred_attacker(constr_xor(VAR_V_29,VAR_V_30X30))
| ~ pred_attacker(VAR_V_30X30)
| ~ pred_attacker(VAR_V_29) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f128,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f133,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f136,plain,
! [VAR_V_38] :
( pred_attacker(VAR_V_38)
| ~ pred_attacker(tuple_T_out_4(VAR_V_38)) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f137,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_4(X0)) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f140,plain,
! [VAR_V_44] :
( pred_attacker(VAR_V_44)
| ~ pred_attacker(tuple_T_out_2(VAR_V_44)) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f141,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_2(X0)) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
! [VAR_V_48,VAR_V_49] :
( pred_attacker(tuple_T_in_3(VAR_V_48,VAR_V_49))
| ~ pred_attacker(VAR_V_49)
| ~ pred_attacker(VAR_V_48) ),
inference(pre_NNF_transformation,[status(thm)],[f59]) ).
fof(f143,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f150,plain,
! [VAR_V_63] :
( pred_attacker(tuple_T_in_1(VAR_V_63))
| ~ pred_attacker(VAR_V_63) ),
inference(pre_NNF_transformation,[status(thm)],[f62]) ).
fof(f151,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f166,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f167,plain,
! [VAR_R_10X308] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(VAR_R_10X308,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(VAR_R_10X308)) ),
inference(pre_NNF_transformation,[status(thm)],[f74]) ).
fof(f168,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
! [VAR_A_143,VAR_R_144] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(VAR_R_144))
| ~ pred_attacker(tuple_T_in_3(VAR_A_143,constr_h(constr_xor(VAR_A_143,constr_xor(name_k0x30,name_ki))))) ),
inference(pre_NNF_transformation,[status(thm)],[f75]) ).
fof(f170,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ! [VAR_R_144] : ~ pred_attacker(tuple_T_in_1(VAR_R_144))
| ! [VAR_A_143] : ~ pred_attacker(tuple_T_in_3(VAR_A_143,constr_h(constr_xor(VAR_A_143,constr_xor(name_k0x30,name_ki))))) ),
inference(miniscoping,[status(thm)],[f169]) ).
fof(f171,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,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f173,definition,
! [X0] :
( sQ0_spl
<=> ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f174,plain,
! [X0] :
( ~ sQ0_spl
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,definition,
! [X1] :
( sQ1_spl
<=> ~ pred_attacker(tuple_T_in_1(X1)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f177,plain,
! [X0] :
( ~ sQ1_spl
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,definition,
( sQ2_spl
<=> pred_attacker(tuple_T_out_4(name_objective)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ2_spl
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f171,f173,f176,f179]) ).
fof(f185,plain,
! [X0] : X0 = constr_xor(constr_ZERO,X0),
inference(paramodulation,[status(thm)],[f124,f125]) ).
fof(f218,plain,
( ~ sQ2_spl
| pred_attacker(name_objective) ),
inference(resolution,[status(thm)],[f137,f180]) ).
fof(f220,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f218,f172]) ).
fof(f221,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f220]) ).
fof(f227,plain,
! [X0] :
( pred_attacker(constr_ZERO)
| ~ pred_attacker(X0)
| ~ pred_attacker(X0) ),
inference(paramodulation,[status(thm)],[f123,f128]) ).
fof(f228,definition,
( sQ3_spl
<=> pred_attacker(constr_ZERO) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f236,definition,
! [X0] :
( sQ5_spl
<=> ( ~ pred_attacker(X0)
| ~ pred_attacker(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f237,plain,
! [X0] :
( ~ sQ5_spl
| ~ pred_attacker(X0)
| ~ pred_attacker(X0) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f227,f236,f228]) ).
fof(f240,plain,
! [X0] :
( ~ sQ5_spl
| ~ pred_attacker(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f237]) ).
fof(f241,plain,
( ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f166,f240]) ).
fof(f251,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f241]) ).
fof(f342,plain,
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(name_k0x30,name_ki))))
| ~ pred_attacker(tuple_T_in_1(constr_ZERO)) ),
inference(paramodulation,[status(thm)],[f185,f168]) ).
fof(f348,definition,
( sQ7_spl
<=> pred_attacker(tuple_T_in_1(constr_ZERO)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ7_spl
| pred_attacker(tuple_T_in_1(constr_ZERO)) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ7_spl
| ~ pred_attacker(tuple_T_in_1(constr_ZERO)) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ8_spl
<=> pred_attacker(tuple_T_out_2(constr_h(constr_xor(name_k0x30,name_ki)))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ8_spl
| pred_attacker(tuple_T_out_2(constr_h(constr_xor(name_k0x30,name_ki)))) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f342,f348,f351]) ).
fof(f380,plain,
( sQ7_spl
| ~ pred_attacker(constr_ZERO) ),
inference(resolution,[status(thm)],[f350,f151]) ).
fof(f381,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f380,f133]) ).
fof(f382,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f381]) ).
fof(f386,plain,
( ~ sQ0_spl
| ~ pred_attacker(tuple_T_in_3(constr_ZERO,constr_h(constr_xor(name_k0x30,name_ki)))) ),
inference(paramodulation,[status(thm)],[f185,f174]) ).
fof(f409,plain,
( ~ sQ7_spl
| ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f349,f177]) ).
fof(f411,plain,
( ~ sQ7_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f409]) ).
fof(f447,plain,
( ~ sQ8_spl
| pred_attacker(constr_h(constr_xor(name_k0x30,name_ki))) ),
inference(resolution,[status(thm)],[f352,f141]) ).
fof(f1075,plain,
( ~ sQ0_spl
| ~ pred_attacker(constr_h(constr_xor(name_k0x30,name_ki)))
| ~ pred_attacker(constr_ZERO) ),
inference(resolution,[status(thm)],[f386,f143]) ).
fof(f1076,definition,
( sQ22_spl
<=> pred_attacker(constr_h(constr_xor(name_k0x30,name_ki))) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( sQ22_spl
| ~ pred_attacker(constr_h(constr_xor(name_k0x30,name_ki))) ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,plain,
( ~ sQ0_spl
| ~ sQ22_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1075,f228,f1076,f173]) ).
fof(f1080,plain,
( sQ22_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1078,f447]) ).
fof(f1081,plain,
( sQ22_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1080]) ).
fof(f1082,plain,
$false,
inference(sat_refutation,[status(thm)],[f182,f221,f239,f251,f354,f382,f411,f1079,f1081]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW950+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n011.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 10:20:10 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.26/0.60 % Refutation found
% 0.26/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.26/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.63 % Elapsed time: 0.158915 seconds
% 0.26/0.63 % CPU time: 0.864601 seconds
% 0.26/0.63 % Total memory used: 75.795 MB
% 0.26/0.63 % Net memory used: 75.153 MB
%------------------------------------------------------------------------------