%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS216+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 08:47:32 AM UTC 2026
% Result : Theorem 30.27s 30.50s
% Output : Proof 30.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 62 ( 29 unt; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 216 ( 89 ~; 79 |; 43 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 175 ( 4 sgn 134 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('KRS001+0.ax',thm) ).
fof(uns,axiom,
! [Ax,C] :
( ( ! [I2] : model(I2,not(C))
& ! [I1] : model(I1,Ax) )
<=> status(Ax,C,uns) ),
file('KRS001+0.ax',uns) ).
fof(nota,axiom,
! [S1,S2] :
( ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) )
<=> nota(S1,S2) ),
file('KRS001+1.ax',nota) ).
fof(not,axiom,
! [I,F] :
( model(I,F)
<=> ~ model(I,not(F)) ),
file('KRS001+1.ax',not) ).
fof(tautology,axiom,
? [F] :
! [I] : model(I,F),
file('KRS001+1.ax',tautology) ).
fof(contradiction,axiom,
? [F] :
! [I] : ~ model(I,F),
file('KRS001+1.ax',contradiction) ).
fof(nota_uns_thm,conjecture,
nota(uns,thm),
file('theBenchmark.p',nota_uns_thm) ).
fof(f_5_1,plain,
! [Ax,C] :
( ( ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) )
| ~ status(Ax,C,thm) )
& ( status(Ax,C,thm)
| ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ) ),
inference(fof_nnf,[status(thm)],[thm]) ).
fof(f_5_2,plain,
! [U_45,U_44] :
( ( ! [U_43] :
( model(U_43,U_44)
| ~ model(U_43,U_45) )
| ~ status(U_45,U_44,thm) )
& ( status(U_45,U_44,thm)
| ? [U_42] :
( ~ model(U_42,U_44)
& model(U_42,U_45) ) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_49,U_47] :
( ! [U_43] :
( model(U_43,U_47)
| ~ model(U_43,U_49) )
| ~ status(U_49,U_47,thm) )
& ! [U_48,U_46] :
( status(U_48,U_46,thm)
| ? [U_42] :
( ~ model(U_42,U_46)
& model(U_42,U_48) ) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_49,U_47] :
( ! [U_43] :
( model(U_43,U_47)
| ~ model(U_43,U_49) )
| ~ status(U_49,U_47,thm) )
& ! [U_48,U_46] :
( status(U_48,U_46,thm)
| ( ~ model(sK10(U_48,U_46),U_46)
& model(sK10(U_48,U_46),U_48) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_42,sK10(U_48,U_46))],[f_5_3]) ).
fof(f_5_5,plain,
( ! [U_48,U_46] :
( ~ model(sK10(U_48,U_46),U_46)
| ~ sP6(U_48,U_46) )
& ! [U_48,U_46] :
( model(sK10(U_48,U_46),U_48)
| ~ sP6(U_48,U_46) )
& ! [U_47,U_49,U_43] :
( model(U_43,U_47)
| ~ model(U_43,U_49)
| ~ status(U_49,U_47,thm) )
& ! [U_48,U_46] :
( status(U_48,U_46,thm)
| sP6(U_48,U_46) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP6])],[f_5_4]) ).
cnf(f_5_7,plain,
( model(U_43,U_47)
| ~ model(U_43,U_49)
| ~ status(U_49,U_47,thm) ),
inference(clausify,[status(thm)],[f_5_5]) ).
fof(f_18_1,plain,
! [Ax,C] :
( ( ( ! [I2] : model(I2,not(C))
& ! [I1] : model(I1,Ax) )
| ~ status(Ax,C,uns) )
& ( status(Ax,C,uns)
| ? [I2] : ~ model(I2,not(C))
| ? [I1] : ~ model(I1,Ax) ) ),
inference(fof_nnf,[status(thm)],[uns]) ).
fof(f_18_2,plain,
! [U_193,U_192] :
( ( ( ! [U_191] : model(U_191,not(U_192))
& ! [U_190] : model(U_190,U_193) )
| ~ status(U_193,U_192,uns) )
& ( status(U_193,U_192,uns)
| ? [U_189] : ~ model(U_189,not(U_192))
| ? [U_188] : ~ model(U_188,U_193) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_197,U_195] :
( ( ! [U_191] : model(U_191,not(U_195))
& ! [U_190] : model(U_190,U_197) )
| ~ status(U_197,U_195,uns) )
& ! [U_196,U_194] :
( status(U_196,U_194,uns)
| ? [U_189] : ~ model(U_189,not(U_194))
| ? [U_188] : ~ model(U_188,U_196) ) ),
inference(miniscope,[status(thm)],[f_18_2]) ).
fof(f_18_4,plain,
( ! [U_197,U_195] :
( ( ! [U_191] : model(U_191,not(U_195))
& ! [U_190] : model(U_190,U_197) )
| ~ status(U_197,U_195,uns) )
& ! [U_196,U_194] :
( status(U_196,U_194,uns)
| ? [U_189] : ~ model(U_189,not(U_194))
| ~ model(sK41(U_196,U_194),U_196) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(U_188,sK41(U_196,U_194))],[f_18_3]) ).
fof(f_18_5,plain,
( ! [U_197,U_195] :
( ( ! [U_191] : model(U_191,not(U_195))
& ! [U_190] : model(U_190,U_197) )
| ~ status(U_197,U_195,uns) )
& ! [U_196,U_194] :
( status(U_196,U_194,uns)
| ~ model(sK42(U_196,U_194),not(U_194))
| ~ model(sK41(U_196,U_194),U_196) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(U_189,sK42(U_196,U_194))],[f_18_4]) ).
fof(f_18_6,plain,
( ! [U_191,U_195,U_197,U_190] :
( model(U_191,not(U_195))
| ~ sP24(U_191,U_195,U_197,U_190) )
& ! [U_191,U_195,U_197,U_190] :
( model(U_190,U_197)
| ~ sP24(U_191,U_195,U_197,U_190) )
& ! [U_191,U_195,U_197,U_190] :
( sP24(U_191,U_195,U_197,U_190)
| ~ status(U_197,U_195,uns) )
& ! [U_194,U_196] :
( status(U_196,U_194,uns)
| ~ model(sK42(U_196,U_194),not(U_194))
| ~ model(sK41(U_196,U_194),U_196) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP24])],[f_18_5]) ).
cnf(f_18_7,plain,
( status(U_196,U_194,uns)
| ~ model(sK42(U_196,U_194),not(U_194))
| ~ model(sK41(U_196,U_194),U_196) ),
inference(clausify,[status(thm)],[f_18_6]) ).
fof(f_22_1,plain,
! [S1,S2] :
( ( ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) )
| ~ nota(S1,S2) )
& ( nota(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(fof_nnf,[status(thm)],[nota]) ).
fof(f_22_2,plain,
! [U_233,U_232] :
( ( ? [U_231,U_230] :
( ~ status(U_231,U_230,U_232)
& status(U_231,U_230,U_233) )
| ~ nota(U_233,U_232) )
& ( nota(U_233,U_232)
| ! [U_229,U_228] :
( status(U_229,U_228,U_232)
| ~ status(U_229,U_228,U_233) ) ) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
( ! [U_237,U_235] :
( ? [U_231,U_230] :
( ~ status(U_231,U_230,U_235)
& status(U_231,U_230,U_237) )
| ~ nota(U_237,U_235) )
& ! [U_236,U_234] :
( nota(U_236,U_234)
| ! [U_229,U_228] :
( status(U_229,U_228,U_234)
| ~ status(U_229,U_228,U_236) ) ) ),
inference(miniscope,[status(thm)],[f_22_2]) ).
fof(f_22_4,plain,
( ! [U_237,U_235] :
( ? [U_230] :
( ~ status(sK49(U_237,U_235),U_230,U_235)
& status(sK49(U_237,U_235),U_230,U_237) )
| ~ nota(U_237,U_235) )
& ! [U_236,U_234] :
( nota(U_236,U_234)
| ! [U_229,U_228] :
( status(U_229,U_228,U_234)
| ~ status(U_229,U_228,U_236) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(U_231,sK49(U_237,U_235))],[f_22_3]) ).
fof(f_22_5,plain,
( ! [U_237,U_235] :
( ( ~ status(sK49(U_237,U_235),sK50(U_237,U_235),U_235)
& status(sK49(U_237,U_235),sK50(U_237,U_235),U_237) )
| ~ nota(U_237,U_235) )
& ! [U_236,U_234] :
( nota(U_236,U_234)
| ! [U_229,U_228] :
( status(U_229,U_228,U_234)
| ~ status(U_229,U_228,U_236) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(U_230,sK50(U_237,U_235))],[f_22_4]) ).
fof(f_22_6,plain,
( ! [U_235,U_237] :
( ~ status(sK49(U_237,U_235),sK50(U_237,U_235),U_235)
| ~ sP28(U_235,U_237) )
& ! [U_235,U_237] :
( status(sK49(U_237,U_235),sK50(U_237,U_235),U_237)
| ~ sP28(U_235,U_237) )
& ! [U_235,U_237] :
( sP28(U_235,U_237)
| ~ nota(U_237,U_235) )
& ! [U_229,U_228,U_234,U_236] :
( nota(U_236,U_234)
| status(U_229,U_228,U_234)
| ~ status(U_229,U_228,U_236) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP28])],[f_22_5]) ).
cnf(f_22_7,plain,
( nota(U_236,U_234)
| status(U_229,U_228,U_234)
| ~ status(U_229,U_228,U_236) ),
inference(clausify,[status(thm)],[f_22_6]) ).
fof(f_26_1,plain,
! [I,F] :
( ( model(I,F)
| model(I,not(F)) )
& ( ~ model(I,not(F))
| ~ model(I,F) ) ),
inference(fof_nnf,[status(thm)],[not]) ).
fof(f_26_2,plain,
! [U_261,U_260] :
( ( model(U_261,U_260)
| model(U_261,not(U_260)) )
& ( ~ model(U_261,not(U_260))
| ~ model(U_261,U_260) ) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_265,U_263] :
( model(U_265,U_263)
| model(U_265,not(U_263)) )
& ! [U_264,U_262] :
( ~ model(U_264,not(U_262))
| ~ model(U_264,U_262) ) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
( ! [U_263,U_265] :
( model(U_265,U_263)
| model(U_265,not(U_263)) )
& ! [U_264,U_262] :
( ~ model(U_264,not(U_262))
| ~ model(U_264,U_262) ) ),
inference(definitional_conversion,[status(esa)],[f_26_3]) ).
cnf(f_26_6,plain,
( model(U_265,U_263)
| model(U_265,not(U_263)) ),
inference(clausify,[status(thm)],[f_26_4]) ).
fof(f_27_1,plain,
? [F] :
! [I] : model(I,F),
inference(fof_nnf,[status(thm)],[tautology]) ).
fof(f_27_2,plain,
? [U_267] :
! [U_266] : model(U_266,U_267),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_266] : model(U_266,sK55),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(U_267,sK55)],[f_27_2]) ).
fof(f_27_4,plain,
! [U_266] : model(U_266,sK55),
inference(definitional_conversion,[status(esa)],[f_27_3]) ).
cnf(f_27_5,plain,
model(U_266,sK55),
inference(clausify,[status(thm)],[f_27_4]) ).
fof(f_29_1,plain,
? [F] :
! [I] : ~ model(I,F),
inference(fof_nnf,[status(thm)],[contradiction]) ).
fof(f_29_2,plain,
? [U_272] :
! [U_271] : ~ model(U_271,U_272),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
! [U_271] : ~ model(U_271,sK59),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(U_272,sK59)],[f_29_2]) ).
fof(f_29_4,plain,
! [U_271] : ~ model(U_271,sK59),
inference(definitional_conversion,[status(esa)],[f_29_3]) ).
cnf(f_29_5,plain,
~ model(U_271,sK59),
inference(clausify,[status(thm)],[f_29_4]) ).
fof(f_33_1,negated_conjecture,
~ nota(uns,thm),
inference(negate,[status(cth)],[nota_uns_thm]) ).
fof(f_33_2,negated_conjecture,
~ nota(uns,thm),
inference(definitional_conversion,[status(esa)],[f_33_1]) ).
cnf(f_33_3,negated_conjecture,
~ nota(uns,thm),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(t1,plain,
~ nota(uns,thm),
inference(start,[status(thm),parent(0:0)],[f_33_3]) ).
cnf(t2,plain,
( status(sK55,sK59,thm)
| ~ status(sK55,sK59,uns)
| nota(uns,thm) ),
inference(extension,[status(thm),parent(t1:1)],[f_22_7]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ model(sK42(sK55,sK59),not(sK59))
| ~ model(sK41(sK55,sK59),sK55)
| status(sK55,sK59,uns) ),
inference(extension,[status(thm),parent(t2:2)],[f_18_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
model(sK41(sK55,sK59),sK55),
inference(extension,[status(thm),parent(t4:2)],[f_27_5]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( model(sK42(sK55,sK59),sK59)
| model(sK42(sK55,sK59),not(sK59)) ),
inference(extension,[status(thm),parent(t4:3)],[f_26_6]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
~ model(sK42(sK55,sK59),sK59),
inference(extension,[status(thm),parent(t8:2)],[f_29_5]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ model(U_2243,sK55)
| model(U_2243,sK59)
| ~ status(sK55,sK59,thm) ),
inference(extension,[status(thm),parent(t2:3)],[f_5_7]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:3]) ).
cnf(t14,plain,
~ model(U_2243,sK59),
inference(extension,[status(thm),parent(t12:2)],[f_29_5]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
model(U_2243,sK55),
inference(extension,[status(thm),parent(t12:3)],[f_27_5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS216+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 19 12:20:35 UTC 2026
% 0.13/0.35 % CPUTime :
% 30.27/30.50 % SZS status Theorem for theBenchmark
% 30.27/30.50 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------