%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n003.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 08:47:15 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.42s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 87 ( 36 unt; 0 def)
% Number of atoms : 202 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 199 ( 84 ~; 84 |; 25 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 51 ( 0 sgn 34 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,axiom,
! [X] :
( cC2(X)
=> ( ( cA(X)
| cB(X) )
& ( cA(X)
| ~ cB(X) ) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cC3(X)
=> ( ( ~ cA(X)
| cB(X) )
& ( ~ cA(X)
| ~ cB(X) ) ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cC4(X)
=> ? [Y] :
( cC2(Y)
& rR(X,Y) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cC5(X)
=> ! [Y] :
( rR(X,Y)
=> cC3(Y) ) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cTEST(X)
=> ( cC5(X)
& cC1(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
cTEST(i2003_11_14_17_19_57994),
file('theBenchmark.p',axiom_8) ).
fof(f_4_1,plain,
! [X] :
( ( ( cA(X)
| cB(X) )
& ( cA(X)
| ~ cB(X) ) )
| ~ cC2(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_7] :
( ( ( cA(U_7)
| cB(U_7) )
& ( cA(U_7)
| ~ cB(U_7) ) )
| ~ cC2(U_7) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_7] :
( cA(U_7)
| cB(U_7)
| ~ sP1(U_7) )
& ! [U_7] :
( cA(U_7)
| ~ cB(U_7)
| ~ sP1(U_7) )
& ! [U_7] :
( sP1(U_7)
| ~ cC2(U_7) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_4_2]) ).
cnf(f_4_4,plain,
( sP1(U_7)
| ~ cC2(U_7) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_5,plain,
( cA(U_7)
| ~ cB(U_7)
| ~ sP1(U_7) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_6,plain,
( cA(U_7)
| cB(U_7)
| ~ sP1(U_7) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [X] :
( ( ( ~ cA(X)
| cB(X) )
& ( ~ cA(X)
| ~ cB(X) ) )
| ~ cC3(X) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_8] :
( ( ( ~ cA(U_8)
| cB(U_8) )
& ( ~ cA(U_8)
| ~ cB(U_8) ) )
| ~ cC3(U_8) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_8] :
( ~ cA(U_8)
| cB(U_8)
| ~ sP2(U_8) )
& ! [U_8] :
( ~ cA(U_8)
| ~ cB(U_8)
| ~ sP2(U_8) )
& ! [U_8] :
( sP2(U_8)
| ~ cC3(U_8) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_5_2]) ).
cnf(f_5_4,plain,
( sP2(U_8)
| ~ cC3(U_8) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_5,plain,
( ~ cA(U_8)
| ~ cB(U_8)
| ~ sP2(U_8) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_6,plain,
( ~ cA(U_8)
| cB(U_8)
| ~ sP2(U_8) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [X] :
( ? [Y] :
( cC2(Y)
& rR(X,Y) )
| ~ cC4(X) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_10] :
( ? [U_9] :
( cC2(U_9)
& rR(U_10,U_9) )
| ~ cC4(U_10) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_10] :
( ( cC2(sK1(U_10))
& rR(U_10,sK1(U_10)) )
| ~ cC4(U_10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_9,sK1(U_10))],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_10] :
( cC2(sK1(U_10))
| ~ sP3(U_10) )
& ! [U_10] :
( rR(U_10,sK1(U_10))
| ~ sP3(U_10) )
& ! [U_10] :
( sP3(U_10)
| ~ cC4(U_10) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_6_3]) ).
cnf(f_6_5,plain,
( sP3(U_10)
| ~ cC4(U_10) ),
inference(clausify,[status(thm)],[f_6_4]) ).
cnf(f_6_6,plain,
( rR(U_10,sK1(U_10))
| ~ sP3(U_10) ),
inference(clausify,[status(thm)],[f_6_4]) ).
cnf(f_6_7,plain,
( cC2(sK1(U_10))
| ~ sP3(U_10) ),
inference(clausify,[status(thm)],[f_6_4]) ).
fof(f_7_1,plain,
! [X] :
( ! [Y] :
( cC3(Y)
| ~ rR(X,Y) )
| ~ cC5(X) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_12] :
( ! [U_11] :
( cC3(U_11)
| ~ rR(U_12,U_11) )
| ~ cC5(U_12) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_12,U_11] :
( cC3(U_11)
| ~ rR(U_12,U_11)
| ~ cC5(U_12) ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( cC3(U_11)
| ~ rR(U_12,U_11)
| ~ cC5(U_12) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [X] :
( ( cC5(X)
& cC1(X)
& cC4(X) )
| ~ cTEST(X) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_13] :
( ( cC5(U_13)
& cC1(U_13)
& cC4(U_13) )
| ~ cTEST(U_13) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_13] :
( cC5(U_13)
| ~ sP4(U_13) )
& ! [U_13] :
( cC1(U_13)
| ~ sP4(U_13) )
& ! [U_13] :
( cC4(U_13)
| ~ sP4(U_13) )
& ! [U_13] :
( sP4(U_13)
| ~ cTEST(U_13) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4])],[f_8_2]) ).
cnf(f_8_4,plain,
( sP4(U_13)
| ~ cTEST(U_13) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_5,plain,
( cC4(U_13)
| ~ sP4(U_13) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_7,plain,
( cC5(U_13)
| ~ sP4(U_13) ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
cTEST(i2003_11_14_17_19_57994),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
cTEST(i2003_11_14_17_19_57994),
inference(definitional_conversion,[status(esa)],[f_9_1]) ).
cnf(f_9_3,plain,
cTEST(i2003_11_14_17_19_57994),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(t1,plain,
( ~ cB(sK1(i2003_11_14_17_19_57994))
| ~ cA(sK1(i2003_11_14_17_19_57994))
| ~ sP2(sK1(i2003_11_14_17_19_57994)) ),
inference(start,[status(thm),parent(0:0)],[f_5_5]) ).
cnf(t2,plain,
( ~ cC3(sK1(i2003_11_14_17_19_57994))
| sP2(sK1(i2003_11_14_17_19_57994)) ),
inference(extension,[status(thm),parent(t1:1)],[f_5_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ rR(i2003_11_14_17_19_57994,sK1(i2003_11_14_17_19_57994))
| ~ cC5(i2003_11_14_17_19_57994)
| cC3(sK1(i2003_11_14_17_19_57994)) ),
inference(extension,[status(thm),parent(t2:2)],[f_7_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ sP4(i2003_11_14_17_19_57994)
| cC5(i2003_11_14_17_19_57994) ),
inference(extension,[status(thm),parent(t4:2)],[f_8_7]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ cTEST(i2003_11_14_17_19_57994)
| sP4(i2003_11_14_17_19_57994) ),
inference(extension,[status(thm),parent(t6:2)],[f_8_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
cTEST(i2003_11_14_17_19_57994),
inference(extension,[status(thm),parent(t8:2)],[f_9_3]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ sP3(i2003_11_14_17_19_57994)
| rR(i2003_11_14_17_19_57994,sK1(i2003_11_14_17_19_57994)) ),
inference(extension,[status(thm),parent(t4:3)],[f_6_6]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:3]) ).
cnf(t14,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| sP3(i2003_11_14_17_19_57994) ),
inference(extension,[status(thm),parent(t12:2)],[f_6_5]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ sP4(i2003_11_14_17_19_57994)
| cC4(i2003_11_14_17_19_57994) ),
inference(extension,[status(thm),parent(t14:2)],[f_8_5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ cTEST(i2003_11_14_17_19_57994)
| sP4(i2003_11_14_17_19_57994) ),
inference(extension,[status(thm),parent(t16:2)],[f_8_4]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
cTEST(i2003_11_14_17_19_57994),
inference(extension,[status(thm),parent(t18:2)],[f_9_3]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(l1,lemma,
sP2(sK1(i2003_11_14_17_19_57994)),
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t22,plain,
( cB(sK1(i2003_11_14_17_19_57994))
| ~ sP1(sK1(i2003_11_14_17_19_57994))
| cA(sK1(i2003_11_14_17_19_57994)) ),
inference(extension,[status(thm),parent(t1:2)],[f_4_6]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t1:2]) ).
cnf(t24,plain,
( ~ cC2(sK1(i2003_11_14_17_19_57994))
| sP1(sK1(i2003_11_14_17_19_57994)) ),
inference(extension,[status(thm),parent(t22:2)],[f_4_4]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( ~ sP3(i2003_11_14_17_19_57994)
| cC2(sK1(i2003_11_14_17_19_57994)) ),
inference(extension,[status(thm),parent(t24:2)],[f_6_7]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| sP3(i2003_11_14_17_19_57994) ),
inference(extension,[status(thm),parent(t26:2)],[f_6_5]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ sP4(i2003_11_14_17_19_57994)
| cC4(i2003_11_14_17_19_57994) ),
inference(extension,[status(thm),parent(t28:2)],[f_8_5]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( ~ cTEST(i2003_11_14_17_19_57994)
| sP4(i2003_11_14_17_19_57994) ),
inference(extension,[status(thm),parent(t30:2)],[f_8_4]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
cTEST(i2003_11_14_17_19_57994),
inference(extension,[status(thm),parent(t32:2)],[f_9_3]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(l12,lemma,
sP1(sK1(i2003_11_14_17_19_57994)),
inference(lemma,[status(cth),parent(t22:2),below(t1:2)],[t22:2]) ).
cnf(t36,plain,
( cA(sK1(i2003_11_14_17_19_57994))
| ~ sP1(sK1(i2003_11_14_17_19_57994))
| ~ cB(sK1(i2003_11_14_17_19_57994)) ),
inference(extension,[status(thm),parent(t22:3)],[f_4_5]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t22:3]) ).
cnf(t38,plain,
sP1(sK1(i2003_11_14_17_19_57994)),
inference(lemma_extension,[status(thm),parent(t36:2)],[l12:1]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
$false,
inference(reduction,[status(thm),parent(t36:3)],[t36:3,t1:2]) ).
cnf(l11,lemma,
cA(sK1(i2003_11_14_17_19_57994)),
inference(lemma,[status(cth),parent(t1:2),below(0:0)],[t1:2]) ).
cnf(t41,plain,
( ~ cA(sK1(i2003_11_14_17_19_57994))
| ~ sP2(sK1(i2003_11_14_17_19_57994))
| cB(sK1(i2003_11_14_17_19_57994)) ),
inference(extension,[status(thm),parent(t1:3)],[f_5_6]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t1:3]) ).
cnf(t43,plain,
sP2(sK1(i2003_11_14_17_19_57994)),
inference(lemma_extension,[status(thm),parent(t41:2)],[l1:1]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t41:2]) ).
cnf(t45,plain,
cA(sK1(i2003_11_14_17_19_57994)),
inference(lemma_extension,[status(thm),parent(t41:3)],[l11:1]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t41:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_UNS_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 12:13:44 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------