%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS201+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 : n008.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 08:47:30 AM UTC 2026
% Result : Theorem 120.17s 120.41s
% Output : Proof 120.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 17 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 167 ( 65 ~; 52 |; 45 &)
% ( 3 <=>; 2 =>; 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 128 ( 2 sgn 75 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sap,axiom,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
=> ? [I2] : model(I2,C) )
<=> status(Ax,C,sap) ),
file('KRS001+0.ax',sap) ).
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_sap_thm,conjecture,
nota(sap,thm),
file('theBenchmark.p',nota_sap_thm) ).
fof(f_2_1,plain,
! [Ax,C] :
( ( ? [I2] : model(I2,C)
| ! [I1] : ~ model(I1,Ax)
| ~ status(Ax,C,sap) )
& ( status(Ax,C,sap)
| ( ! [I2] : ~ model(I2,C)
& ? [I1] : model(I1,Ax) ) ) ),
inference(fof_nnf,[status(thm)],[sap]) ).
fof(f_2_2,plain,
! [U_15,U_14] :
( ( ? [U_13] : model(U_13,U_14)
| ! [U_12] : ~ model(U_12,U_15)
| ~ status(U_15,U_14,sap) )
& ( status(U_15,U_14,sap)
| ( ! [U_11] : ~ model(U_11,U_14)
& ? [U_10] : model(U_10,U_15) ) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_19,U_17] :
( ? [U_13] : model(U_13,U_17)
| ! [U_12] : ~ model(U_12,U_19)
| ~ status(U_19,U_17,sap) )
& ! [U_18,U_16] :
( status(U_18,U_16,sap)
| ( ! [U_11] : ~ model(U_11,U_16)
& ? [U_10] : model(U_10,U_18) ) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
( ! [U_19,U_17] :
( ? [U_13] : model(U_13,U_17)
| ! [U_12] : ~ model(U_12,U_19)
| ~ status(U_19,U_17,sap) )
& ! [U_18,U_16] :
( status(U_18,U_16,sap)
| ( ! [U_11] : ~ model(U_11,U_16)
& model(sK3(U_18,U_16),U_18) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_10,sK3(U_18,U_16))],[f_2_3]) ).
fof(f_2_5,plain,
( ! [U_19,U_17] :
( model(sK4(U_19,U_17),U_17)
| ! [U_12] : ~ model(U_12,U_19)
| ~ status(U_19,U_17,sap) )
& ! [U_18,U_16] :
( status(U_18,U_16,sap)
| ( ! [U_11] : ~ model(U_11,U_16)
& model(sK3(U_18,U_16),U_18) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_13,sK4(U_19,U_17))],[f_2_4]) ).
cnf(f_2_7,plain,
( ~ model(U_11,U_16)
| status(U_18,U_16,sap) ),
inference(clausify,[status(thm)],[f_2_5]) ).
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(sap,thm),
inference(negate,[status(cth)],[nota_sap_thm]) ).
fof(f_33_2,negated_conjecture,
~ nota(sap,thm),
inference(definitional_conversion,[status(esa)],[f_33_1]) ).
cnf(f_33_3,negated_conjecture,
~ nota(sap,thm),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(t1,plain,
~ nota(sap,thm),
inference(start,[status(thm),parent(0:0)],[f_33_3]) ).
cnf(t2,plain,
( status(sK73,sK71,thm)
| ~ status(sK73,sK71,sap)
| nota(sap,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)
| status(sK73,sK71,sap) ),
inference(extension,[status(thm),parent(t2:2)],[f_2_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
model(sK72,sK71),
inference(extension,[status(thm),parent(t4:2)],[f_32_9]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ model(sK70,sK73)
| model(sK70,sK71)
| ~ status(sK73,sK71,thm) ),
inference(extension,[status(thm),parent(t2:3)],[f_5_7]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
~ model(sK70,sK71),
inference(extension,[status(thm),parent(t8:2)],[f_32_8]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
model(sK70,sK73),
inference(extension,[status(thm),parent(t8:3)],[f_32_10]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS201+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 : n008.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 12:17:38 UTC 2026
% 0.13/0.36 % CPUTime :
% 120.17/120.41 % SZS status Theorem for theBenchmark
% 120.17/120.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------