%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS202+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 : n014.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 08:47:31 AM UTC 2026
% Result : Theorem 120.14s 120.46s
% Output : Proof 120.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 52 ( 19 unt; 0 def)
% Number of atoms : 194 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 229 ( 87 ~; 74 |; 63 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 166 ( 2 sgn 101 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(esa,axiom,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
<=> ? [I2] : model(I2,C) )
<=> status(Ax,C,esa) ),
file('KRS001+0.ax',esa) ).
fof(thm,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('KRS001+0.ax',thm) ).
fof(nota,axiom,
! [S1,S2] :
( ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) )
<=> nota(S1,S2) ),
file('KRS001+1.ax',nota) ).
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(nota_esa_thm,conjecture,
nota(esa,thm),
file('theBenchmark.p',nota_esa_thm) ).
fof(f_3_1,plain,
! [Ax,C] :
( ( ( ( ? [I1] : model(I1,Ax)
| ! [I2] : ~ model(I2,C) )
& ( ? [I2] : model(I2,C)
| ! [I1] : ~ model(I1,Ax) ) )
| ~ status(Ax,C,esa) )
& ( status(Ax,C,esa)
| ( ! [I1] : ~ model(I1,Ax)
& ? [I2] : model(I2,C) )
| ( ! [I2] : ~ model(I2,C)
& ? [I1] : model(I1,Ax) ) ) ),
inference(fof_nnf,[status(thm)],[esa]) ).
fof(f_3_2,plain,
! [U_29,U_28] :
( ( ( ( ? [U_27] : model(U_27,U_29)
| ! [U_26] : ~ model(U_26,U_28) )
& ( ? [U_25] : model(U_25,U_28)
| ! [U_24] : ~ model(U_24,U_29) ) )
| ~ status(U_29,U_28,esa) )
& ( status(U_29,U_28,esa)
| ( ! [U_23] : ~ model(U_23,U_29)
& ? [U_22] : model(U_22,U_28) )
| ( ! [U_21] : ~ model(U_21,U_28)
& ? [U_20] : model(U_20,U_29) ) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_33,U_31] :
( ( ( ? [U_27] : model(U_27,U_33)
| ! [U_26] : ~ model(U_26,U_31) )
& ( ? [U_25] : model(U_25,U_31)
| ! [U_24] : ~ model(U_24,U_33) ) )
| ~ status(U_33,U_31,esa) )
& ! [U_32,U_30] :
( status(U_32,U_30,esa)
| ( ! [U_23] : ~ model(U_23,U_32)
& ? [U_22] : model(U_22,U_30) )
| ( ! [U_21] : ~ model(U_21,U_30)
& ? [U_20] : model(U_20,U_32) ) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_33,U_31] :
( ( ( ? [U_27] : model(U_27,U_33)
| ! [U_26] : ~ model(U_26,U_31) )
& ( ? [U_25] : model(U_25,U_31)
| ! [U_24] : ~ model(U_24,U_33) ) )
| ~ status(U_33,U_31,esa) )
& ! [U_32,U_30] :
( status(U_32,U_30,esa)
| ( ! [U_23] : ~ model(U_23,U_32)
& ? [U_22] : model(U_22,U_30) )
| ( ! [U_21] : ~ model(U_21,U_30)
& model(sK5(U_32,U_30),U_32) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_20,sK5(U_32,U_30))],[f_3_3]) ).
fof(f_3_5,plain,
( ! [U_33,U_31] :
( ( ( ? [U_27] : model(U_27,U_33)
| ! [U_26] : ~ model(U_26,U_31) )
& ( ? [U_25] : model(U_25,U_31)
| ! [U_24] : ~ model(U_24,U_33) ) )
| ~ status(U_33,U_31,esa) )
& ! [U_32,U_30] :
( status(U_32,U_30,esa)
| ( ! [U_23] : ~ model(U_23,U_32)
& model(sK6(U_32,U_30),U_30) )
| ( ! [U_21] : ~ model(U_21,U_30)
& model(sK5(U_32,U_30),U_32) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_22,sK6(U_32,U_30))],[f_3_4]) ).
fof(f_3_6,plain,
( ! [U_33,U_31] :
( ( ( ? [U_27] : model(U_27,U_33)
| ! [U_26] : ~ model(U_26,U_31) )
& ( model(sK7(U_33,U_31),U_31)
| ! [U_24] : ~ model(U_24,U_33) ) )
| ~ status(U_33,U_31,esa) )
& ! [U_32,U_30] :
( status(U_32,U_30,esa)
| ( ! [U_23] : ~ model(U_23,U_32)
& model(sK6(U_32,U_30),U_30) )
| ( ! [U_21] : ~ model(U_21,U_30)
& model(sK5(U_32,U_30),U_32) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_25,sK7(U_33,U_31))],[f_3_5]) ).
fof(f_3_7,plain,
( ! [U_33,U_31] :
( ( ( model(sK8(U_33,U_31),U_33)
| ! [U_26] : ~ model(U_26,U_31) )
& ( model(sK7(U_33,U_31),U_31)
| ! [U_24] : ~ model(U_24,U_33) ) )
| ~ status(U_33,U_31,esa) )
& ! [U_32,U_30] :
( status(U_32,U_30,esa)
| ( ! [U_23] : ~ model(U_23,U_32)
& model(sK6(U_32,U_30),U_30) )
| ( ! [U_21] : ~ model(U_21,U_30)
& model(sK5(U_32,U_30),U_32) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_27,sK8(U_33,U_31))],[f_3_6]) ).
cnf(f_3_11,plain,
( ~ model(U_23,U_32)
| ~ model(U_21,U_30)
| status(U_32,U_30,esa) ),
inference(clausify,[status(thm)],[f_3_7]) ).
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]) ).
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_4]) ).
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]) ).
cnf(f_22_6,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_5]) ).
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]) ).
cnf(f_32_8,plain,
~ model(sK70,sK71),
inference(clausify,[status(thm)],[f_32_7]) ).
cnf(f_32_9,plain,
model(sK72,sK71),
inference(clausify,[status(thm)],[f_32_7]) ).
cnf(f_32_10,plain,
model(sK70,sK73),
inference(clausify,[status(thm)],[f_32_7]) ).
fof(f_33_1,negated_conjecture,
~ nota(esa,thm),
inference(negate,[status(cth)],[nota_esa_thm]) ).
fof(f_33_2,negated_conjecture,
~ nota(esa,thm),
inference(definitional_conversion,[status(esa)],[f_33_1]) ).
cnf(f_33_3,negated_conjecture,
~ nota(esa,thm),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(t1,plain,
~ nota(esa,thm),
inference(start,[status(thm),parent(0:0)],[f_33_3]) ).
cnf(t2,plain,
( status(sK73,sK71,thm)
| ~ status(sK73,sK71,esa)
| nota(esa,thm) ),
inference(extension,[status(thm),parent(t1:1)],[f_22_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ model(sK72,sK71)
| ~ model(sK70,sK73)
| status(sK73,sK71,esa) ),
inference(extension,[status(thm),parent(t2:2)],[f_3_11]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
model(sK70,sK73),
inference(extension,[status(thm),parent(t4:2)],[f_32_10]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
model(sK72,sK71),
inference(extension,[status(thm),parent(t4:3)],[f_32_9]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( ~ model(sK70,sK73)
| model(sK70,sK71)
| ~ status(sK73,sK71,thm) ),
inference(extension,[status(thm),parent(t2:3)],[f_5_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
~ model(sK70,sK71),
inference(extension,[status(thm),parent(t10:2)],[f_32_8]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
model(sK70,sK73),
inference(extension,[status(thm),parent(t10:3)],[f_32_10]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS202+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 12:16:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 120.14/120.46 % SZS status Theorem for theBenchmark
% 120.14/120.46 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------