%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PHI009+1 : TPTP v9.3.1. Released v7.2.0.
% 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 : n006.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 08:53:57 AM UTC 2026
% Result : Theorem 0.08s 0.40s
% Output : Proof 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(description_axiom_schema_instance,axiom,
! [F,G,X] :
( ( object(X)
& property(G)
& property(F) )
=> ( ( exemplifies_property(G,X)
& is_the(X,F) )
<=> ? [Y] :
( exemplifies_property(G,Y)
& ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) )
& exemplifies_property(F,Y)
& object(Y) ) ) ),
file('theBenchmark.p',description_axiom_schema_instance) ).
fof(description_theorem_1,conjecture,
! [F] :
( property(F)
=> ( ? [Y] :
( ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) )
& exemplifies_property(F,Y)
& object(Y) )
=> ? [U] :
( is_the(U,F)
& object(U) ) ) ),
file('theBenchmark.p',description_theorem_1) ).
fof(f_1_1,plain,
! [F,G,X] :
( ( ( ( exemplifies_property(G,X)
& is_the(X,F) )
| ! [Y] :
( ~ exemplifies_property(G,Y)
| ? [Z] :
( Z != Y
& exemplifies_property(F,Z)
& object(Z) )
| ~ exemplifies_property(F,Y)
| ~ object(Y) ) )
& ( ? [Y] :
( exemplifies_property(G,Y)
& ! [Z] :
( Z = Y
| ~ exemplifies_property(F,Z)
| ~ object(Z) )
& exemplifies_property(F,Y)
& object(Y) )
| ~ exemplifies_property(G,X)
| ~ is_the(X,F) ) )
| ~ object(X)
| ~ property(G)
| ~ property(F) ),
inference(fof_nnf,[status(thm)],[description_axiom_schema_instance]) ).
fof(f_1_2,plain,
! [U_6,U_5,U_4] :
( ( ( ( exemplifies_property(U_5,U_4)
& is_the(U_4,U_6) )
| ! [U_3] :
( ~ exemplifies_property(U_5,U_3)
| ? [U_2] :
( U_2 != U_3
& exemplifies_property(U_6,U_2)
& object(U_2) )
| ~ exemplifies_property(U_6,U_3)
| ~ object(U_3) ) )
& ( ? [U_1] :
( exemplifies_property(U_5,U_1)
& ! [U_0] :
( U_0 = U_1
| ~ exemplifies_property(U_6,U_0)
| ~ object(U_0) )
& exemplifies_property(U_6,U_1)
& object(U_1) )
| ~ exemplifies_property(U_5,U_4)
| ~ is_the(U_4,U_6) ) )
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_6,U_5,U_4] :
( ( ( ( exemplifies_property(U_5,U_4)
& is_the(U_4,U_6) )
| ! [U_3] :
( ~ exemplifies_property(U_5,U_3)
| ? [U_2] :
( U_2 != U_3
& exemplifies_property(U_6,U_2)
& object(U_2) )
| ~ exemplifies_property(U_6,U_3)
| ~ object(U_3) ) )
& ( ( exemplifies_property(U_5,sK1(U_6,U_5,U_4))
& ! [U_0] :
( U_0 = sK1(U_6,U_5,U_4)
| ~ exemplifies_property(U_6,U_0)
| ~ object(U_0) )
& exemplifies_property(U_6,sK1(U_6,U_5,U_4))
& object(sK1(U_6,U_5,U_4)) )
| ~ exemplifies_property(U_5,U_4)
| ~ is_the(U_4,U_6) ) )
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_1,sK1(U_6,U_5,U_4))],[f_1_2]) ).
fof(f_1_4,plain,
! [U_6,U_5,U_4] :
( ( ( ( exemplifies_property(U_5,U_4)
& is_the(U_4,U_6) )
| ! [U_3] :
( ~ exemplifies_property(U_5,U_3)
| ( sK2(U_6,U_5,U_4,U_3) != U_3
& exemplifies_property(U_6,sK2(U_6,U_5,U_4,U_3))
& object(sK2(U_6,U_5,U_4,U_3)) )
| ~ exemplifies_property(U_6,U_3)
| ~ object(U_3) ) )
& ( ( exemplifies_property(U_5,sK1(U_6,U_5,U_4))
& ! [U_0] :
( U_0 = sK1(U_6,U_5,U_4)
| ~ exemplifies_property(U_6,U_0)
| ~ object(U_0) )
& exemplifies_property(U_6,sK1(U_6,U_5,U_4))
& object(sK1(U_6,U_5,U_4)) )
| ~ exemplifies_property(U_5,U_4)
| ~ is_the(U_4,U_6) ) )
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_2,sK2(U_6,U_5,U_4,U_3))],[f_1_3]) ).
cnf(f_1_5,plain,
( object(sK1(U_6,U_5,U_4))
| ~ exemplifies_property(U_5,U_4)
| ~ is_the(U_4,U_6)
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_6,plain,
( exemplifies_property(U_6,sK1(U_6,U_5,U_4))
| ~ exemplifies_property(U_5,U_4)
| ~ is_the(U_4,U_6)
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_7,plain,
( U_0 = sK1(U_6,U_5,U_4)
| ~ exemplifies_property(U_6,U_0)
| ~ object(U_0)
| ~ exemplifies_property(U_5,U_4)
| ~ is_the(U_4,U_6)
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_8,plain,
( exemplifies_property(U_5,sK1(U_6,U_5,U_4))
| ~ exemplifies_property(U_5,U_4)
| ~ is_the(U_4,U_6)
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_9,plain,
( object(sK2(U_6,U_5,U_4,U_3))
| ~ exemplifies_property(U_5,U_3)
| ~ exemplifies_property(U_6,U_3)
| ~ object(U_3)
| is_the(U_4,U_6)
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_10,plain,
( exemplifies_property(U_6,sK2(U_6,U_5,U_4,U_3))
| ~ exemplifies_property(U_5,U_3)
| ~ exemplifies_property(U_6,U_3)
| ~ object(U_3)
| is_the(U_4,U_6)
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_11,plain,
( sK2(U_6,U_5,U_4,U_3) != U_3
| ~ exemplifies_property(U_5,U_3)
| ~ exemplifies_property(U_6,U_3)
| ~ object(U_3)
| is_the(U_4,U_6)
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_12,plain,
( object(sK2(U_6,U_5,U_4,U_3))
| ~ exemplifies_property(U_5,U_3)
| ~ exemplifies_property(U_6,U_3)
| ~ object(U_3)
| exemplifies_property(U_5,U_4)
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_13,plain,
( exemplifies_property(U_6,sK2(U_6,U_5,U_4,U_3))
| ~ exemplifies_property(U_5,U_3)
| ~ exemplifies_property(U_6,U_3)
| ~ object(U_3)
| exemplifies_property(U_5,U_4)
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_14,plain,
( sK2(U_6,U_5,U_4,U_3) != U_3
| ~ exemplifies_property(U_5,U_3)
| ~ exemplifies_property(U_6,U_3)
| ~ object(U_3)
| exemplifies_property(U_5,U_4)
| ~ object(U_4)
| ~ property(U_5)
| ~ property(U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
fof(f_2_1,negated_conjecture,
~ ! [F] :
( property(F)
=> ( ? [Y] :
( ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) )
& exemplifies_property(F,Y)
& object(Y) )
=> ? [U] :
( is_the(U,F)
& object(U) ) ) ),
inference(negate,[status(cth)],[description_theorem_1]) ).
fof(f_2_2,negated_conjecture,
? [F] :
( ! [U] :
( ~ is_the(U,F)
| ~ object(U) )
& ? [Y] :
( ! [Z] :
( Z = Y
| ~ exemplifies_property(F,Z)
| ~ object(Z) )
& exemplifies_property(F,Y)
& object(Y) )
& property(F) ),
inference(fof_nnf,[status(thm)],[f_2_1]) ).
fof(f_2_3,negated_conjecture,
? [U_10] :
( ! [U_9] :
( ~ is_the(U_9,U_10)
| ~ object(U_9) )
& ? [U_8] :
( ! [U_7] :
( U_7 = U_8
| ~ exemplifies_property(U_10,U_7)
| ~ object(U_7) )
& exemplifies_property(U_10,U_8)
& object(U_8) )
& property(U_10) ),
inference(variable_rename,[status(thm)],[f_2_2]) ).
fof(f_2_4,negated_conjecture,
( ! [U_9] :
( ~ is_the(U_9,sK3)
| ~ object(U_9) )
& ? [U_8] :
( ! [U_7] :
( U_7 = U_8
| ~ exemplifies_property(sK3,U_7)
| ~ object(U_7) )
& exemplifies_property(sK3,U_8)
& object(U_8) )
& property(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_10,sK3)],[f_2_3]) ).
fof(f_2_5,negated_conjecture,
( ! [U_9] :
( ~ is_the(U_9,sK3)
| ~ object(U_9) )
& ! [U_7] :
( U_7 = sK4
| ~ exemplifies_property(sK3,U_7)
| ~ object(U_7) )
& exemplifies_property(sK3,sK4)
& object(sK4)
& property(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_8,sK4)],[f_2_4]) ).
fof(f_2_6,negated_conjecture,
( ! [U_9] :
( ~ is_the(U_9,sK3)
| ~ object(U_9) )
& ! [U_7] :
( U_7 = sK4
| ~ exemplifies_property(sK3,U_7)
| ~ object(U_7) )
& exemplifies_property(sK3,sK4)
& object(sK4)
& property(sK3) ),
inference(definitional_conversion,[status(esa)],[f_2_5]) ).
cnf(f_2_7,negated_conjecture,
property(sK3),
inference(clausify,[status(thm)],[f_2_6]) ).
cnf(f_2_8,negated_conjecture,
object(sK4),
inference(clausify,[status(thm)],[f_2_6]) ).
cnf(f_2_9,negated_conjecture,
exemplifies_property(sK3,sK4),
inference(clausify,[status(thm)],[f_2_6]) ).
cnf(f_2_10,negated_conjecture,
( U_7 = sK4
| ~ exemplifies_property(sK3,U_7)
| ~ object(U_7) ),
inference(clausify,[status(thm)],[f_2_6]) ).
cnf(f_2_11,negated_conjecture,
( ~ is_the(U_9,sK3)
| ~ object(U_9) ),
inference(clausify,[status(thm)],[f_2_6]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( sK1(Eq_x_0,Eq_x_1,Eq_x_2) = sK1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( sK2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( property(Eq_y_0)
| ~ property(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_7,axiom,
( object(Eq_y_0)
| ~ object(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_8,axiom,
( is_the(Eq_y_0,Eq_y_1)
| ~ is_the(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,axiom,
( exemplifies_property(Eq_y_0,Eq_y_1)
| ~ exemplifies_property(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PHI009+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ 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 : n006.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 19:35:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.40 % SZS status Theorem for theBenchmark
% 0.08/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------