%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS266+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/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 08:47:36 AM UTC 2026
% Result : Theorem 30.04s 30.39s
% Output : Proof 30.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 59 ( 22 unt; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 217 ( 87 ~; 69 |; 57 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 169 ( 2 sgn 111 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('KRS001+0.ax',thm) ).
fof(sca,axiom,
! [Ax,C] :
( ( ? [I2] : model(I2,C)
& ~ ? [I1] : model(I1,Ax) )
<=> status(Ax,C,sca) ),
file('KRS001+0.ax',sca) ).
fof(mighta,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) )
<=> mighta(S1,S2) ),
file('KRS001+1.ax',mighta) ).
fof(contradiction,axiom,
? [F] :
! [I] : ~ model(I,F),
file('KRS001+1.ax',contradiction) ).
fof(non_thm_spt,axiom,
? [I1,Ax,C] :
( ? [I2] : model(I2,C)
& ~ model(I1,C)
& model(I1,Ax) ),
file('KRS001+1.ax',non_thm_spt) ).
fof(mighta_sca_thm,conjecture,
mighta(sca,thm),
file('theBenchmark.p',mighta_sca_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_43,U_49] :
( 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_6,plain,
( status(U_48,U_46,thm)
| sP6(U_48,U_46) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_8,plain,
( model(sK10(U_48,U_46),U_48)
| ~ sP6(U_48,U_46) ),
inference(clausify,[status(thm)],[f_5_5]) ).
fof(f_14_1,plain,
! [Ax,C] :
( ( ( ? [I2] : model(I2,C)
& ! [I1] : ~ model(I1,Ax) )
| ~ status(Ax,C,sca) )
& ( status(Ax,C,sca)
| ! [I2] : ~ model(I2,C)
| ? [I1] : model(I1,Ax) ) ),
inference(fof_nnf,[status(thm)],[sca]) ).
fof(f_14_2,plain,
! [U_153,U_152] :
( ( ( ? [U_151] : model(U_151,U_152)
& ! [U_150] : ~ model(U_150,U_153) )
| ~ status(U_153,U_152,sca) )
& ( status(U_153,U_152,sca)
| ! [U_149] : ~ model(U_149,U_152)
| ? [U_148] : model(U_148,U_153) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_157,U_155] :
( ( ? [U_151] : model(U_151,U_155)
& ! [U_150] : ~ model(U_150,U_157) )
| ~ status(U_157,U_155,sca) )
& ! [U_156,U_154] :
( status(U_156,U_154,sca)
| ! [U_149] : ~ model(U_149,U_154)
| ? [U_148] : model(U_148,U_156) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
fof(f_14_4,plain,
( ! [U_157,U_155] :
( ( ? [U_151] : model(U_151,U_155)
& ! [U_150] : ~ model(U_150,U_157) )
| ~ status(U_157,U_155,sca) )
& ! [U_156,U_154] :
( status(U_156,U_154,sca)
| ! [U_149] : ~ model(U_149,U_154)
| model(sK33(U_156,U_154),U_156) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_148,sK33(U_156,U_154))],[f_14_3]) ).
fof(f_14_5,plain,
( ! [U_157,U_155] :
( ( model(sK34(U_157,U_155),U_155)
& ! [U_150] : ~ model(U_150,U_157) )
| ~ status(U_157,U_155,sca) )
& ! [U_156,U_154] :
( status(U_156,U_154,sca)
| ! [U_149] : ~ model(U_149,U_154)
| model(sK33(U_156,U_154),U_156) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_151,sK34(U_157,U_155))],[f_14_4]) ).
fof(f_14_6,plain,
( ! [U_155,U_150,U_157] :
( model(sK34(U_157,U_155),U_155)
| ~ sP20(U_155,U_150,U_157) )
& ! [U_155,U_150,U_157] :
( ~ model(U_150,U_157)
| ~ sP20(U_155,U_150,U_157) )
& ! [U_155,U_150,U_157] :
( sP20(U_155,U_150,U_157)
| ~ status(U_157,U_155,sca) )
& ! [U_149,U_154,U_156] :
( status(U_156,U_154,sca)
| ~ model(U_149,U_154)
| model(sK33(U_156,U_154),U_156) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP20])],[f_14_5]) ).
cnf(f_14_7,plain,
( status(U_156,U_154,sca)
| ~ model(U_149,U_154)
| model(sK33(U_156,U_154),U_156) ),
inference(clausify,[status(thm)],[f_14_6]) ).
fof(f_20_1,plain,
! [S1,S2] :
( ( ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) )
| ~ mighta(S1,S2) )
& ( mighta(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(fof_nnf,[status(thm)],[mighta]) ).
fof(f_20_2,plain,
! [U_213,U_212] :
( ( ? [U_211,U_210] :
( status(U_211,U_210,U_212)
& status(U_211,U_210,U_213) )
| ~ mighta(U_213,U_212) )
& ( mighta(U_213,U_212)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_212)
| ~ status(U_209,U_208,U_213) ) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
( ! [U_217,U_215] :
( ? [U_211,U_210] :
( status(U_211,U_210,U_215)
& status(U_211,U_210,U_217) )
| ~ mighta(U_217,U_215) )
& ! [U_216,U_214] :
( mighta(U_216,U_214)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
fof(f_20_4,plain,
( ! [U_217,U_215] :
( ? [U_210] :
( status(sK45(U_217,U_215),U_210,U_215)
& status(sK45(U_217,U_215),U_210,U_217) )
| ~ mighta(U_217,U_215) )
& ! [U_216,U_214] :
( mighta(U_216,U_214)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_211,sK45(U_217,U_215))],[f_20_3]) ).
fof(f_20_5,plain,
( ! [U_217,U_215] :
( ( status(sK45(U_217,U_215),sK46(U_217,U_215),U_215)
& status(sK45(U_217,U_215),sK46(U_217,U_215),U_217) )
| ~ mighta(U_217,U_215) )
& ! [U_216,U_214] :
( mighta(U_216,U_214)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_210,sK46(U_217,U_215))],[f_20_4]) ).
fof(f_20_6,plain,
( ! [U_215,U_217] :
( status(sK45(U_217,U_215),sK46(U_217,U_215),U_215)
| ~ sP26(U_215,U_217) )
& ! [U_215,U_217] :
( status(sK45(U_217,U_215),sK46(U_217,U_215),U_217)
| ~ sP26(U_215,U_217) )
& ! [U_215,U_217] :
( sP26(U_215,U_217)
| ~ mighta(U_217,U_215) )
& ! [U_208,U_214,U_209,U_216] :
( mighta(U_216,U_214)
| ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP26])],[f_20_5]) ).
cnf(f_20_7,plain,
( mighta(U_216,U_214)
| ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ),
inference(clausify,[status(thm)],[f_20_6]) ).
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_32_1,plain,
? [I1,Ax,C] :
( ? [I2] : model(I2,C)
& ~ model(I1,C)
& model(I1,Ax) ),
inference(fof_nnf,[status(thm)],[non_thm_spt]) ).
fof(f_32_2,plain,
? [U_288,U_287,U_286] :
( ? [U_285] : model(U_285,U_286)
& ~ model(U_288,U_286)
& model(U_288,U_287) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
? [U_288] :
( ? [U_287] : model(U_288,U_287)
& ? [U_286] :
( ? [U_285] : model(U_285,U_286)
& ~ model(U_288,U_286) ) ),
inference(miniscope,[status(thm)],[f_32_2]) ).
fof(f_32_4,plain,
( ? [U_287] : model(sK70,U_287)
& ? [U_286] :
( ? [U_285] : model(U_285,U_286)
& ~ model(sK70,U_286) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(U_288,sK70)],[f_32_3]) ).
fof(f_32_5,plain,
( ? [U_287] : model(sK70,U_287)
& ? [U_285] : model(U_285,sK71)
& ~ model(sK70,sK71) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(U_286,sK71)],[f_32_4]) ).
fof(f_32_6,plain,
( ? [U_287] : model(sK70,U_287)
& model(sK72,sK71)
& ~ model(sK70,sK71) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(U_285,sK72)],[f_32_5]) ).
fof(f_32_7,plain,
( model(sK70,sK73)
& model(sK72,sK71)
& ~ model(sK70,sK71) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(U_287,sK73)],[f_32_6]) ).
fof(f_32_8,plain,
( model(sK70,sK73)
& model(sK72,sK71)
& ~ model(sK70,sK71) ),
inference(definitional_conversion,[status(esa)],[f_32_7]) ).
cnf(f_32_11,plain,
model(sK70,sK73),
inference(clausify,[status(thm)],[f_32_8]) ).
fof(f_33_1,negated_conjecture,
~ mighta(sca,thm),
inference(negate,[status(cth)],[mighta_sca_thm]) ).
fof(f_33_2,negated_conjecture,
~ mighta(sca,thm),
inference(definitional_conversion,[status(esa)],[f_33_1]) ).
cnf(f_33_3,negated_conjecture,
~ mighta(sca,thm),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(t1,plain,
~ mighta(sca,thm),
inference(start,[status(thm),parent(0:0)],[f_33_3]) ).
cnf(t2,plain,
( ~ status(sK59,sK73,thm)
| ~ status(sK59,sK73,sca)
| mighta(sca,thm) ),
inference(extension,[status(thm),parent(t1:1)],[f_20_7]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ model(sK70,sK73)
| model(sK33(sK59,sK73),sK59)
| status(sK59,sK73,sca) ),
inference(extension,[status(thm),parent(t2:2)],[f_14_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
~ model(sK33(sK59,sK73),sK59),
inference(extension,[status(thm),parent(t4:2)],[f_29_5]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
model(sK70,sK73),
inference(extension,[status(thm),parent(t4:3)],[f_32_11]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( sP6(sK59,sK73)
| status(sK59,sK73,thm) ),
inference(extension,[status(thm),parent(t2:3)],[f_5_6]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
( model(sK10(sK59,sK73),sK59)
| ~ sP6(sK59,sK73) ),
inference(extension,[status(thm),parent(t10:2)],[f_5_8]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
~ model(sK10(sK59,sK73),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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS266+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.01 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 19 12:22:07 UTC 2026
% 0.03/0.30 % CPUTime :
% 30.04/30.39 % SZS status Theorem for theBenchmark
% 30.04/30.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------