%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PHI015+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 : n011.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 08:53:58 AM UTC 2026
% Result : Theorem 1.68s 1.97s
% Output : Proof 1.78s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(objects_are_not_properties,axiom,
! [X] :
( object(X)
=> ~ property(X) ),
file('theBenchmark.p',objects_are_not_properties) ).
fof(exemplifier_is_object_and_exemplified_is_property,axiom,
! [X,F] :
( exemplifies_property(F,X)
=> ( object(X)
& property(F) ) ),
file('theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).
fof(description_is_property_and_described_is_object,axiom,
! [X,F] :
( is_the(X,F)
=> ( object(X)
& property(F) ) ),
file('theBenchmark.p',description_is_property_and_described_is_object) ).
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_axiom_identity_instance,axiom,
! [F,X,W] :
( ( object(W)
& object(X)
& property(F) )
=> ( ( X = W
& is_the(X,F) )
<=> ? [Y] :
( Y = W
& ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) )
& exemplifies_property(F,Y)
& object(Y) ) ) ),
file('theBenchmark.p',description_axiom_identity_instance) ).
fof(connectedness_of_greater_than,axiom,
! [X,Y] :
( ( object(Y)
& object(X) )
=> ( X = Y
| exemplifies_relation(greater_than,Y,X)
| exemplifies_relation(greater_than,X,Y) ) ),
file('theBenchmark.p',connectedness_of_greater_than) ).
fof(definition_none_greater,axiom,
! [X] :
( object(X)
=> ( exemplifies_property(none_greater,X)
<=> ( ~ ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) )
& exemplifies_property(conceivable,X) ) ) ),
file('theBenchmark.p',definition_none_greater) ).
fof(premise_1,axiom,
? [X] :
( exemplifies_property(none_greater,X)
& object(X) ),
file('theBenchmark.p',premise_1) ).
fof(premise_2,axiom,
! [X] :
( object(X)
=> ( ( ~ exemplifies_property(existence,X)
& is_the(X,none_greater) )
=> ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) ) ) ),
file('theBenchmark.p',premise_2) ).
fof(definition_god,axiom,
is_the(god,none_greater),
file('theBenchmark.p',definition_god) ).
fof(god_exists,conjecture,
exemplifies_property(existence,god),
file('theBenchmark.p',god_exists) ).
fof(f_1_1,plain,
! [X] :
( ~ property(X)
| ~ object(X) ),
inference(fof_nnf,[status(thm)],[objects_are_not_properties]) ).
fof(f_1_2,plain,
! [U_0] :
( ~ property(U_0)
| ~ object(U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( ~ property(U_0)
| ~ object(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [X,F] :
( ( object(X)
& property(F) )
| ~ exemplifies_property(F,X) ),
inference(fof_nnf,[status(thm)],[exemplifier_is_object_and_exemplified_is_property]) ).
fof(f_2_2,plain,
! [U_2,U_1] :
( ( object(U_2)
& property(U_1) )
| ~ exemplifies_property(U_1,U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( property(U_1)
| ~ exemplifies_property(U_1,U_2) ),
inference(clausify,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( object(U_2)
| ~ exemplifies_property(U_1,U_2) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [X,F] :
( ( object(X)
& property(F) )
| ~ is_the(X,F) ),
inference(fof_nnf,[status(thm)],[description_is_property_and_described_is_object]) ).
fof(f_3_2,plain,
! [U_4,U_3] :
( ( object(U_4)
& property(U_3) )
| ~ is_the(U_4,U_3) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( property(U_3)
| ~ is_the(U_4,U_3) ),
inference(clausify,[status(thm)],[f_3_2]) ).
cnf(f_3_4,plain,
( object(U_4)
| ~ is_the(U_4,U_3) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_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_4_2,plain,
! [U_11,U_10,U_9] :
( ( ( ( exemplifies_property(U_10,U_9)
& is_the(U_9,U_11) )
| ! [U_8] :
( ~ exemplifies_property(U_10,U_8)
| ? [U_7] :
( U_7 != U_8
& exemplifies_property(U_11,U_7)
& object(U_7) )
| ~ exemplifies_property(U_11,U_8)
| ~ object(U_8) ) )
& ( ? [U_6] :
( exemplifies_property(U_10,U_6)
& ! [U_5] :
( U_5 = U_6
| ~ exemplifies_property(U_11,U_5)
| ~ object(U_5) )
& exemplifies_property(U_11,U_6)
& object(U_6) )
| ~ exemplifies_property(U_10,U_9)
| ~ is_the(U_9,U_11) ) )
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_11,U_10,U_9] :
( ( ( ( exemplifies_property(U_10,U_9)
& is_the(U_9,U_11) )
| ! [U_8] :
( ~ exemplifies_property(U_10,U_8)
| ? [U_7] :
( U_7 != U_8
& exemplifies_property(U_11,U_7)
& object(U_7) )
| ~ exemplifies_property(U_11,U_8)
| ~ object(U_8) ) )
& ( ( exemplifies_property(U_10,sK1(U_11,U_10,U_9))
& ! [U_5] :
( U_5 = sK1(U_11,U_10,U_9)
| ~ exemplifies_property(U_11,U_5)
| ~ object(U_5) )
& exemplifies_property(U_11,sK1(U_11,U_10,U_9))
& object(sK1(U_11,U_10,U_9)) )
| ~ exemplifies_property(U_10,U_9)
| ~ is_the(U_9,U_11) ) )
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_11,U_10,U_9))],[f_4_2]) ).
fof(f_4_4,plain,
! [U_11,U_10,U_9] :
( ( ( ( exemplifies_property(U_10,U_9)
& is_the(U_9,U_11) )
| ! [U_8] :
( ~ exemplifies_property(U_10,U_8)
| ( sK2(U_11,U_10,U_9,U_8) != U_8
& exemplifies_property(U_11,sK2(U_11,U_10,U_9,U_8))
& object(sK2(U_11,U_10,U_9,U_8)) )
| ~ exemplifies_property(U_11,U_8)
| ~ object(U_8) ) )
& ( ( exemplifies_property(U_10,sK1(U_11,U_10,U_9))
& ! [U_5] :
( U_5 = sK1(U_11,U_10,U_9)
| ~ exemplifies_property(U_11,U_5)
| ~ object(U_5) )
& exemplifies_property(U_11,sK1(U_11,U_10,U_9))
& object(sK1(U_11,U_10,U_9)) )
| ~ exemplifies_property(U_10,U_9)
| ~ is_the(U_9,U_11) ) )
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_7,sK2(U_11,U_10,U_9,U_8))],[f_4_3]) ).
cnf(f_4_5,plain,
( object(sK1(U_11,U_10,U_9))
| ~ exemplifies_property(U_10,U_9)
| ~ is_the(U_9,U_11)
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
( exemplifies_property(U_11,sK1(U_11,U_10,U_9))
| ~ exemplifies_property(U_10,U_9)
| ~ is_the(U_9,U_11)
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_7,plain,
( U_5 = sK1(U_11,U_10,U_9)
| ~ exemplifies_property(U_11,U_5)
| ~ object(U_5)
| ~ exemplifies_property(U_10,U_9)
| ~ is_the(U_9,U_11)
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_8,plain,
( exemplifies_property(U_10,sK1(U_11,U_10,U_9))
| ~ exemplifies_property(U_10,U_9)
| ~ is_the(U_9,U_11)
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_9,plain,
( object(sK2(U_11,U_10,U_9,U_8))
| ~ exemplifies_property(U_10,U_8)
| ~ exemplifies_property(U_11,U_8)
| ~ object(U_8)
| is_the(U_9,U_11)
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_10,plain,
( exemplifies_property(U_11,sK2(U_11,U_10,U_9,U_8))
| ~ exemplifies_property(U_10,U_8)
| ~ exemplifies_property(U_11,U_8)
| ~ object(U_8)
| is_the(U_9,U_11)
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_11,plain,
( sK2(U_11,U_10,U_9,U_8) != U_8
| ~ exemplifies_property(U_10,U_8)
| ~ exemplifies_property(U_11,U_8)
| ~ object(U_8)
| is_the(U_9,U_11)
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_12,plain,
( object(sK2(U_11,U_10,U_9,U_8))
| ~ exemplifies_property(U_10,U_8)
| ~ exemplifies_property(U_11,U_8)
| ~ object(U_8)
| exemplifies_property(U_10,U_9)
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_13,plain,
( exemplifies_property(U_11,sK2(U_11,U_10,U_9,U_8))
| ~ exemplifies_property(U_10,U_8)
| ~ exemplifies_property(U_11,U_8)
| ~ object(U_8)
| exemplifies_property(U_10,U_9)
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_14,plain,
( sK2(U_11,U_10,U_9,U_8) != U_8
| ~ exemplifies_property(U_10,U_8)
| ~ exemplifies_property(U_11,U_8)
| ~ object(U_8)
| exemplifies_property(U_10,U_9)
| ~ object(U_9)
| ~ property(U_10)
| ~ property(U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,plain,
! [F,X,W] :
( ( ( ( X = W
& is_the(X,F) )
| ! [Y] :
( Y != W
| ? [Z] :
( Z != Y
& exemplifies_property(F,Z)
& object(Z) )
| ~ exemplifies_property(F,Y)
| ~ object(Y) ) )
& ( ? [Y] :
( Y = W
& ! [Z] :
( Z = Y
| ~ exemplifies_property(F,Z)
| ~ object(Z) )
& exemplifies_property(F,Y)
& object(Y) )
| X != W
| ~ is_the(X,F) ) )
| ~ object(W)
| ~ object(X)
| ~ property(F) ),
inference(fof_nnf,[status(thm)],[description_axiom_identity_instance]) ).
fof(f_5_2,plain,
! [U_18,U_17,U_16] :
( ( ( ( U_17 = U_16
& is_the(U_17,U_18) )
| ! [U_15] :
( U_15 != U_16
| ? [U_14] :
( U_14 != U_15
& exemplifies_property(U_18,U_14)
& object(U_14) )
| ~ exemplifies_property(U_18,U_15)
| ~ object(U_15) ) )
& ( ? [U_13] :
( U_13 = U_16
& ! [U_12] :
( U_12 = U_13
| ~ exemplifies_property(U_18,U_12)
| ~ object(U_12) )
& exemplifies_property(U_18,U_13)
& object(U_13) )
| U_17 != U_16
| ~ is_the(U_17,U_18) ) )
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_18,U_17,U_16] :
( ( ( ( U_17 = U_16
& is_the(U_17,U_18) )
| ! [U_15] :
( U_15 != U_16
| ? [U_14] :
( U_14 != U_15
& exemplifies_property(U_18,U_14)
& object(U_14) )
| ~ exemplifies_property(U_18,U_15)
| ~ object(U_15) ) )
& ( ( sK3(U_18,U_17,U_16) = U_16
& ! [U_12] :
( U_12 = sK3(U_18,U_17,U_16)
| ~ exemplifies_property(U_18,U_12)
| ~ object(U_12) )
& exemplifies_property(U_18,sK3(U_18,U_17,U_16))
& object(sK3(U_18,U_17,U_16)) )
| U_17 != U_16
| ~ is_the(U_17,U_18) ) )
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_13,sK3(U_18,U_17,U_16))],[f_5_2]) ).
fof(f_5_4,plain,
! [U_18,U_17,U_16] :
( ( ( ( U_17 = U_16
& is_the(U_17,U_18) )
| ! [U_15] :
( U_15 != U_16
| ( sK4(U_18,U_17,U_16,U_15) != U_15
& exemplifies_property(U_18,sK4(U_18,U_17,U_16,U_15))
& object(sK4(U_18,U_17,U_16,U_15)) )
| ~ exemplifies_property(U_18,U_15)
| ~ object(U_15) ) )
& ( ( sK3(U_18,U_17,U_16) = U_16
& ! [U_12] :
( U_12 = sK3(U_18,U_17,U_16)
| ~ exemplifies_property(U_18,U_12)
| ~ object(U_12) )
& exemplifies_property(U_18,sK3(U_18,U_17,U_16))
& object(sK3(U_18,U_17,U_16)) )
| U_17 != U_16
| ~ is_the(U_17,U_18) ) )
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_14,sK4(U_18,U_17,U_16,U_15))],[f_5_3]) ).
cnf(f_5_5,plain,
( object(sK3(U_18,U_17,U_16))
| U_17 != U_16
| ~ is_the(U_17,U_18)
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_6,plain,
( exemplifies_property(U_18,sK3(U_18,U_17,U_16))
| U_17 != U_16
| ~ is_the(U_17,U_18)
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_7,plain,
( U_12 = sK3(U_18,U_17,U_16)
| ~ exemplifies_property(U_18,U_12)
| ~ object(U_12)
| U_17 != U_16
| ~ is_the(U_17,U_18)
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_8,plain,
( sK3(U_18,U_17,U_16) = U_16
| U_17 != U_16
| ~ is_the(U_17,U_18)
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_9,plain,
( object(sK4(U_18,U_17,U_16,U_15))
| U_15 != U_16
| ~ exemplifies_property(U_18,U_15)
| ~ object(U_15)
| is_the(U_17,U_18)
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_10,plain,
( exemplifies_property(U_18,sK4(U_18,U_17,U_16,U_15))
| U_15 != U_16
| ~ exemplifies_property(U_18,U_15)
| ~ object(U_15)
| is_the(U_17,U_18)
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_11,plain,
( sK4(U_18,U_17,U_16,U_15) != U_15
| U_15 != U_16
| ~ exemplifies_property(U_18,U_15)
| ~ object(U_15)
| is_the(U_17,U_18)
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_12,plain,
( object(sK4(U_18,U_17,U_16,U_15))
| U_15 != U_16
| ~ exemplifies_property(U_18,U_15)
| ~ object(U_15)
| U_17 = U_16
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_13,plain,
( exemplifies_property(U_18,sK4(U_18,U_17,U_16,U_15))
| U_15 != U_16
| ~ exemplifies_property(U_18,U_15)
| ~ object(U_15)
| U_17 = U_16
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_14,plain,
( sK4(U_18,U_17,U_16,U_15) != U_15
| U_15 != U_16
| ~ exemplifies_property(U_18,U_15)
| ~ object(U_15)
| U_17 = U_16
| ~ object(U_16)
| ~ object(U_17)
| ~ property(U_18) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_6_1,plain,
! [X,Y] :
( X = Y
| exemplifies_relation(greater_than,Y,X)
| exemplifies_relation(greater_than,X,Y)
| ~ object(Y)
| ~ object(X) ),
inference(fof_nnf,[status(thm)],[connectedness_of_greater_than]) ).
fof(f_6_2,plain,
! [U_20,U_19] :
( U_20 = U_19
| exemplifies_relation(greater_than,U_19,U_20)
| exemplifies_relation(greater_than,U_20,U_19)
| ~ object(U_19)
| ~ object(U_20) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( U_20 = U_19
| exemplifies_relation(greater_than,U_19,U_20)
| exemplifies_relation(greater_than,U_20,U_19)
| ~ object(U_19)
| ~ object(U_20) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [X] :
( ( ( exemplifies_property(none_greater,X)
| ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) )
| ~ exemplifies_property(conceivable,X) )
& ( ( ! [Y] :
( ~ exemplifies_property(conceivable,Y)
| ~ exemplifies_relation(greater_than,Y,X)
| ~ object(Y) )
& exemplifies_property(conceivable,X) )
| ~ exemplifies_property(none_greater,X) ) )
| ~ object(X) ),
inference(fof_nnf,[status(thm)],[definition_none_greater]) ).
fof(f_7_2,plain,
! [U_23] :
( ( ( exemplifies_property(none_greater,U_23)
| ? [U_22] :
( exemplifies_property(conceivable,U_22)
& exemplifies_relation(greater_than,U_22,U_23)
& object(U_22) )
| ~ exemplifies_property(conceivable,U_23) )
& ( ( ! [U_21] :
( ~ exemplifies_property(conceivable,U_21)
| ~ exemplifies_relation(greater_than,U_21,U_23)
| ~ object(U_21) )
& exemplifies_property(conceivable,U_23) )
| ~ exemplifies_property(none_greater,U_23) ) )
| ~ object(U_23) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_23] :
( ( ( exemplifies_property(none_greater,U_23)
| ( exemplifies_property(conceivable,sK5(U_23))
& exemplifies_relation(greater_than,sK5(U_23),U_23)
& object(sK5(U_23)) )
| ~ exemplifies_property(conceivable,U_23) )
& ( ( ! [U_21] :
( ~ exemplifies_property(conceivable,U_21)
| ~ exemplifies_relation(greater_than,U_21,U_23)
| ~ object(U_21) )
& exemplifies_property(conceivable,U_23) )
| ~ exemplifies_property(none_greater,U_23) ) )
| ~ object(U_23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_22,sK5(U_23))],[f_7_2]) ).
cnf(f_7_4,plain,
( exemplifies_property(conceivable,U_23)
| ~ exemplifies_property(none_greater,U_23)
| ~ object(U_23) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
( ~ exemplifies_property(conceivable,U_21)
| ~ exemplifies_relation(greater_than,U_21,U_23)
| ~ object(U_21)
| ~ exemplifies_property(none_greater,U_23)
| ~ object(U_23) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_6,plain,
( object(sK5(U_23))
| ~ exemplifies_property(conceivable,U_23)
| exemplifies_property(none_greater,U_23)
| ~ object(U_23) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_7,plain,
( exemplifies_relation(greater_than,sK5(U_23),U_23)
| ~ exemplifies_property(conceivable,U_23)
| exemplifies_property(none_greater,U_23)
| ~ object(U_23) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_8,plain,
( exemplifies_property(conceivable,sK5(U_23))
| ~ exemplifies_property(conceivable,U_23)
| exemplifies_property(none_greater,U_23)
| ~ object(U_23) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
? [X] :
( exemplifies_property(none_greater,X)
& object(X) ),
inference(fof_nnf,[status(thm)],[premise_1]) ).
fof(f_8_2,plain,
? [U_24] :
( exemplifies_property(none_greater,U_24)
& object(U_24) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( exemplifies_property(none_greater,sK6)
& object(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_24,sK6)],[f_8_2]) ).
cnf(f_8_4,plain,
object(sK6),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_5,plain,
exemplifies_property(none_greater,sK6),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [X] :
( ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) )
| exemplifies_property(existence,X)
| ~ is_the(X,none_greater)
| ~ object(X) ),
inference(fof_nnf,[status(thm)],[premise_2]) ).
fof(f_9_2,plain,
! [U_26] :
( ? [U_25] :
( exemplifies_property(conceivable,U_25)
& exemplifies_relation(greater_than,U_25,U_26)
& object(U_25) )
| exemplifies_property(existence,U_26)
| ~ is_the(U_26,none_greater)
| ~ object(U_26) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_26] :
( ( exemplifies_property(conceivable,sK7(U_26))
& exemplifies_relation(greater_than,sK7(U_26),U_26)
& object(sK7(U_26)) )
| exemplifies_property(existence,U_26)
| ~ is_the(U_26,none_greater)
| ~ object(U_26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_25,sK7(U_26))],[f_9_2]) ).
cnf(f_9_4,plain,
( object(sK7(U_26))
| exemplifies_property(existence,U_26)
| ~ is_the(U_26,none_greater)
| ~ object(U_26) ),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_5,plain,
( exemplifies_relation(greater_than,sK7(U_26),U_26)
| exemplifies_property(existence,U_26)
| ~ is_the(U_26,none_greater)
| ~ object(U_26) ),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_6,plain,
( exemplifies_property(conceivable,sK7(U_26))
| exemplifies_property(existence,U_26)
| ~ is_the(U_26,none_greater)
| ~ object(U_26) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
is_the(god,none_greater),
inference(fof_nnf,[status(thm)],[definition_god]) ).
cnf(f_10_2,plain,
is_the(god,none_greater),
inference(clausify,[status(thm)],[f_10_1]) ).
fof(f_11_1,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negate,[status(cth)],[god_exists]) ).
fof(f_11_2,negated_conjecture,
~ exemplifies_property(existence,god),
inference(definitional_conversion,[status(esa)],[f_11_1]) ).
cnf(f_11_3,negated_conjecture,
~ exemplifies_property(existence,god),
inference(clausify,[status(thm)],[f_11_2]) ).
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,
( sK3(Eq_x_0,Eq_x_1,Eq_x_2) = sK3(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_7,axiom,
( sK4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK4(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_8,axiom,
( sK5(Eq_x_0) = sK5(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( sK7(Eq_x_0) = sK7(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( object(Eq_y_0)
| ~ object(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( property(Eq_y_0)
| ~ property(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,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(equality_13,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_14,axiom,
( exemplifies_relation(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ exemplifies_relation(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| 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 : PHI015+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
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 19 19:36:09 UTC 2026
% 0.08/0.34 % CPUTime :
% 1.68/1.97 % SZS status Theorem for theBenchmark
% 1.68/1.97 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------