%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU430+1 : TPTP v9.3.1. Released v3.4.0.
% 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 : n004.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 08:59:19 AM UTC 2026
% Result : Theorem 120.14s 120.44s
% Output : Proof 120.58s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(t30_relset_2,conjecture,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ( k5_setfam_1(A,B) = k1_xboole_0
<=> ! [C] :
( r2_hidden(C,B)
=> C = k1_xboole_0 ) ) ),
file('theBenchmark.p',t30_relset_2) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
file('theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc1_relat_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_relat_1(A) ),
file('theBenchmark.p',cc1_relat_1) ).
fof(d1_xboole_0,axiom,
! [A] :
( A = k1_xboole_0
<=> ! [B] : ~ r2_hidden(B,A) ),
file('theBenchmark.p',d1_xboole_0) ).
fof(d4_tarski,axiom,
! [A,B] :
( B = k3_tarski(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> ? [D] :
( r2_hidden(D,A)
& r2_hidden(C,D) ) ) ),
file('theBenchmark.p',d4_tarski) ).
fof(dt_k1_xboole_0,axiom,
$true,
file('theBenchmark.p',dt_k1_xboole_0) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k1_zfmisc_1) ).
fof(dt_k3_tarski,axiom,
$true,
file('theBenchmark.p',dt_k3_tarski) ).
fof(dt_k5_setfam_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ),
file('theBenchmark.p',dt_k5_setfam_1) ).
fof(dt_m1_subset_1,axiom,
$true,
file('theBenchmark.p',dt_m1_subset_1) ).
fof(existence_m1_subset_1,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('theBenchmark.p',existence_m1_subset_1) ).
fof(fc12_relat_1,axiom,
( v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('theBenchmark.p',fc12_relat_1) ).
fof(fc1_subset_1,axiom,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
file('theBenchmark.p',fc1_subset_1) ).
fof(fc4_relat_1,axiom,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('theBenchmark.p',fc4_relat_1) ).
fof(rc1_relat_1,axiom,
? [A] :
( v1_relat_1(A)
& v1_xboole_0(A) ),
file('theBenchmark.p',rc1_relat_1) ).
fof(rc1_subset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('theBenchmark.p',rc1_subset_1) ).
fof(rc2_relat_1,axiom,
? [A] :
( v1_relat_1(A)
& ~ v1_xboole_0(A) ),
file('theBenchmark.p',rc2_relat_1) ).
fof(rc2_subset_1,axiom,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
file('theBenchmark.p',rc2_subset_1) ).
fof(rc3_relat_1,axiom,
? [A] :
( v3_relat_1(A)
& v1_relat_1(A) ),
file('theBenchmark.p',rc3_relat_1) ).
fof(redefinition_k5_setfam_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> k5_setfam_1(A,B) = k3_tarski(B) ),
file('theBenchmark.p',redefinition_k5_setfam_1) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
file('theBenchmark.p',t1_subset) ).
fof(t2_subset,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( r2_hidden(A,B)
| v1_xboole_0(B) ) ),
file('theBenchmark.p',t2_subset) ).
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('theBenchmark.p',t3_subset) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) )
=> m1_subset_1(A,C) ),
file('theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [A,B,C] :
~ ( v1_xboole_0(C)
& m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) ),
file('theBenchmark.p',t5_subset) ).
fof(t6_boole,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
file('theBenchmark.p',t6_boole) ).
fof(t7_boole,axiom,
! [A,B] :
~ ( v1_xboole_0(B)
& r2_hidden(A,B) ),
file('theBenchmark.p',t7_boole) ).
fof(t8_boole,axiom,
! [A,B] :
~ ( v1_xboole_0(B)
& A != B
& v1_xboole_0(A) ),
file('theBenchmark.p',t8_boole) ).
fof(f_1_1,negated_conjecture,
~ ! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ( k5_setfam_1(A,B) = k1_xboole_0
<=> ! [C] :
( r2_hidden(C,B)
=> C = k1_xboole_0 ) ) ),
inference(negate,[status(cth)],[t30_relset_2]) ).
fof(f_1_2,negated_conjecture,
? [A,B] :
( ( ( k5_setfam_1(A,B) != k1_xboole_0
& ! [C] :
( C = k1_xboole_0
| ~ r2_hidden(C,B) ) )
| ( ? [C] :
( C != k1_xboole_0
& r2_hidden(C,B) )
& k5_setfam_1(A,B) = k1_xboole_0 ) )
& m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_3,U_2] :
( ( ( k5_setfam_1(U_3,U_2) != k1_xboole_0
& ! [U_1] :
( U_1 = k1_xboole_0
| ~ r2_hidden(U_1,U_2) ) )
| ( ? [U_0] :
( U_0 != k1_xboole_0
& r2_hidden(U_0,U_2) )
& k5_setfam_1(U_3,U_2) = k1_xboole_0 ) )
& m1_subset_1(U_2,k1_zfmisc_1(k1_zfmisc_1(U_3))) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
? [U_2] :
( ( ( k5_setfam_1(sK1,U_2) != k1_xboole_0
& ! [U_1] :
( U_1 = k1_xboole_0
| ~ r2_hidden(U_1,U_2) ) )
| ( ? [U_0] :
( U_0 != k1_xboole_0
& r2_hidden(U_0,U_2) )
& k5_setfam_1(sK1,U_2) = k1_xboole_0 ) )
& m1_subset_1(U_2,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ( ( k5_setfam_1(sK1,sK2) != k1_xboole_0
& ! [U_1] :
( U_1 = k1_xboole_0
| ~ r2_hidden(U_1,sK2) ) )
| ( ? [U_0] :
( U_0 != k1_xboole_0
& r2_hidden(U_0,sK2) )
& k5_setfam_1(sK1,sK2) = k1_xboole_0 ) )
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_2,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ( ( k5_setfam_1(sK1,sK2) != k1_xboole_0
& ! [U_1] :
( U_1 = k1_xboole_0
| ~ r2_hidden(U_1,sK2) ) )
| ( sK3 != k1_xboole_0
& r2_hidden(sK3,sK2)
& k5_setfam_1(sK1,sK2) = k1_xboole_0 ) )
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_0,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ! [U_1] :
( k5_setfam_1(sK1,sK2) != k1_xboole_0
| ~ sP1(U_1) )
& ! [U_1] :
( U_1 = k1_xboole_0
| ~ r2_hidden(U_1,sK2)
| ~ sP1(U_1) )
& ( sK3 != k1_xboole_0
| ~ sP0 )
& ( r2_hidden(sK3,sK2)
| ~ sP0 )
& ( k5_setfam_1(sK1,sK2) = k1_xboole_0
| ~ sP0 )
& ! [U_1] :
( sP1(U_1)
| sP0 )
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
( sP1(U_1)
| sP0 ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
( k5_setfam_1(sK1,sK2) = k1_xboole_0
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_11,negated_conjecture,
( r2_hidden(sK3,sK2)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_12,negated_conjecture,
( sK3 != k1_xboole_0
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_13,negated_conjecture,
( U_1 = k1_xboole_0
| ~ r2_hidden(U_1,sK2)
| ~ sP1(U_1) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_14,negated_conjecture,
( k5_setfam_1(sK1,sK2) != k1_xboole_0
| ~ sP1(U_1) ),
inference(clausify,[status(thm)],[f_1_7]) ).
fof(f_2_1,plain,
! [A,B] :
( ~ r2_hidden(B,A)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(f_2_2,plain,
! [U_5,U_4] :
( ~ r2_hidden(U_4,U_5)
| ~ r2_hidden(U_5,U_4) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( ~ r2_hidden(U_4,U_5)
| ~ r2_hidden(U_5,U_4) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [A] :
( v1_relat_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_relat_1]) ).
fof(f_3_2,plain,
! [U_6] :
( v1_relat_1(U_6)
| ~ v1_xboole_0(U_6) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( v1_relat_1(U_6)
| ~ v1_xboole_0(U_6) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [A] :
( ( A = k1_xboole_0
| ? [B] : r2_hidden(B,A) )
& ( ! [B] : ~ r2_hidden(B,A)
| A != k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[d1_xboole_0]) ).
fof(f_4_2,plain,
! [U_9] :
( ( U_9 = k1_xboole_0
| ? [U_8] : r2_hidden(U_8,U_9) )
& ( ! [U_7] : ~ r2_hidden(U_7,U_9)
| U_9 != k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_11] :
( U_11 = k1_xboole_0
| ? [U_8] : r2_hidden(U_8,U_11) )
& ! [U_10] :
( ! [U_7] : ~ r2_hidden(U_7,U_10)
| U_10 != k1_xboole_0 ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_11] :
( U_11 = k1_xboole_0
| r2_hidden(sK4(U_11),U_11) )
& ! [U_10] :
( ! [U_7] : ~ r2_hidden(U_7,U_10)
| U_10 != k1_xboole_0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_8,sK4(U_11))],[f_4_3]) ).
cnf(f_4_5,plain,
( ~ r2_hidden(U_7,U_10)
| U_10 != k1_xboole_0 ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
( U_11 = k1_xboole_0
| r2_hidden(sK4(U_11),U_11) ),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,plain,
! [A,B] :
( ( B = k3_tarski(A)
| ? [C] :
( ( ~ r2_hidden(C,B)
& ? [D] :
( r2_hidden(D,A)
& r2_hidden(C,D) ) )
| ( ! [D] :
( ~ r2_hidden(D,A)
| ~ r2_hidden(C,D) )
& r2_hidden(C,B) ) ) )
& ( ! [C] :
( ( r2_hidden(C,B)
| ! [D] :
( ~ r2_hidden(D,A)
| ~ r2_hidden(C,D) ) )
& ( ? [D] :
( r2_hidden(D,A)
& r2_hidden(C,D) )
| ~ r2_hidden(C,B) ) )
| B != k3_tarski(A) ) ),
inference(fof_nnf,[status(thm)],[d4_tarski]) ).
fof(f_5_2,plain,
! [U_19,U_18] :
( ( U_18 = k3_tarski(U_19)
| ? [U_17] :
( ( ~ r2_hidden(U_17,U_18)
& ? [U_16] :
( r2_hidden(U_16,U_19)
& r2_hidden(U_17,U_16) ) )
| ( ! [U_15] :
( ~ r2_hidden(U_15,U_19)
| ~ r2_hidden(U_17,U_15) )
& r2_hidden(U_17,U_18) ) ) )
& ( ! [U_14] :
( ( r2_hidden(U_14,U_18)
| ! [U_13] :
( ~ r2_hidden(U_13,U_19)
| ~ r2_hidden(U_14,U_13) ) )
& ( ? [U_12] :
( r2_hidden(U_12,U_19)
& r2_hidden(U_14,U_12) )
| ~ r2_hidden(U_14,U_18) ) )
| U_18 != k3_tarski(U_19) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_27,U_25] :
( U_25 = k3_tarski(U_27)
| ? [U_23] :
( ~ r2_hidden(U_23,U_25)
& ? [U_16] :
( r2_hidden(U_16,U_27)
& r2_hidden(U_23,U_16) ) )
| ? [U_22] :
( ! [U_15] :
( ~ r2_hidden(U_15,U_27)
| ~ r2_hidden(U_22,U_15) )
& r2_hidden(U_22,U_25) ) )
& ! [U_26,U_24] :
( ( ! [U_21] :
( r2_hidden(U_21,U_24)
| ! [U_13] :
( ~ r2_hidden(U_13,U_26)
| ~ r2_hidden(U_21,U_13) ) )
& ! [U_20] :
( ? [U_12] :
( r2_hidden(U_12,U_26)
& r2_hidden(U_20,U_12) )
| ~ r2_hidden(U_20,U_24) ) )
| U_24 != k3_tarski(U_26) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_27,U_25] :
( U_25 = k3_tarski(U_27)
| ? [U_23] :
( ~ r2_hidden(U_23,U_25)
& ? [U_16] :
( r2_hidden(U_16,U_27)
& r2_hidden(U_23,U_16) ) )
| ? [U_22] :
( ! [U_15] :
( ~ r2_hidden(U_15,U_27)
| ~ r2_hidden(U_22,U_15) )
& r2_hidden(U_22,U_25) ) )
& ! [U_26,U_24] :
( ( ! [U_21] :
( r2_hidden(U_21,U_24)
| ! [U_13] :
( ~ r2_hidden(U_13,U_26)
| ~ r2_hidden(U_21,U_13) ) )
& ! [U_20] :
( ( r2_hidden(sK5(U_26,U_24,U_20),U_26)
& r2_hidden(U_20,sK5(U_26,U_24,U_20)) )
| ~ r2_hidden(U_20,U_24) ) )
| U_24 != k3_tarski(U_26) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_12,sK5(U_26,U_24,U_20))],[f_5_3]) ).
fof(f_5_5,plain,
( ! [U_27,U_25] :
( U_25 = k3_tarski(U_27)
| ? [U_23] :
( ~ r2_hidden(U_23,U_25)
& ? [U_16] :
( r2_hidden(U_16,U_27)
& r2_hidden(U_23,U_16) ) )
| ( ! [U_15] :
( ~ r2_hidden(U_15,U_27)
| ~ r2_hidden(sK6(U_27,U_25),U_15) )
& r2_hidden(sK6(U_27,U_25),U_25) ) )
& ! [U_26,U_24] :
( ( ! [U_21] :
( r2_hidden(U_21,U_24)
| ! [U_13] :
( ~ r2_hidden(U_13,U_26)
| ~ r2_hidden(U_21,U_13) ) )
& ! [U_20] :
( ( r2_hidden(sK5(U_26,U_24,U_20),U_26)
& r2_hidden(U_20,sK5(U_26,U_24,U_20)) )
| ~ r2_hidden(U_20,U_24) ) )
| U_24 != k3_tarski(U_26) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_22,sK6(U_27,U_25))],[f_5_4]) ).
fof(f_5_6,plain,
( ! [U_27,U_25] :
( U_25 = k3_tarski(U_27)
| ( ~ r2_hidden(sK7(U_27,U_25),U_25)
& ? [U_16] :
( r2_hidden(U_16,U_27)
& r2_hidden(sK7(U_27,U_25),U_16) ) )
| ( ! [U_15] :
( ~ r2_hidden(U_15,U_27)
| ~ r2_hidden(sK6(U_27,U_25),U_15) )
& r2_hidden(sK6(U_27,U_25),U_25) ) )
& ! [U_26,U_24] :
( ( ! [U_21] :
( r2_hidden(U_21,U_24)
| ! [U_13] :
( ~ r2_hidden(U_13,U_26)
| ~ r2_hidden(U_21,U_13) ) )
& ! [U_20] :
( ( r2_hidden(sK5(U_26,U_24,U_20),U_26)
& r2_hidden(U_20,sK5(U_26,U_24,U_20)) )
| ~ r2_hidden(U_20,U_24) ) )
| U_24 != k3_tarski(U_26) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_23,sK7(U_27,U_25))],[f_5_5]) ).
fof(f_5_7,plain,
( ! [U_27,U_25] :
( U_25 = k3_tarski(U_27)
| ( ~ r2_hidden(sK7(U_27,U_25),U_25)
& r2_hidden(sK8(U_27,U_25),U_27)
& r2_hidden(sK7(U_27,U_25),sK8(U_27,U_25)) )
| ( ! [U_15] :
( ~ r2_hidden(U_15,U_27)
| ~ r2_hidden(sK6(U_27,U_25),U_15) )
& r2_hidden(sK6(U_27,U_25),U_25) ) )
& ! [U_26,U_24] :
( ( ! [U_21] :
( r2_hidden(U_21,U_24)
| ! [U_13] :
( ~ r2_hidden(U_13,U_26)
| ~ r2_hidden(U_21,U_13) ) )
& ! [U_20] :
( ( r2_hidden(sK5(U_26,U_24,U_20),U_26)
& r2_hidden(U_20,sK5(U_26,U_24,U_20)) )
| ~ r2_hidden(U_20,U_24) ) )
| U_24 != k3_tarski(U_26) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_16,sK8(U_27,U_25))],[f_5_6]) ).
cnf(f_5_8,plain,
( r2_hidden(U_20,sK5(U_26,U_24,U_20))
| ~ r2_hidden(U_20,U_24)
| U_24 != k3_tarski(U_26) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_9,plain,
( r2_hidden(sK5(U_26,U_24,U_20),U_26)
| ~ r2_hidden(U_20,U_24)
| U_24 != k3_tarski(U_26) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_10,plain,
( r2_hidden(U_21,U_24)
| ~ r2_hidden(U_13,U_26)
| ~ r2_hidden(U_21,U_13)
| U_24 != k3_tarski(U_26) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_11,plain,
( r2_hidden(sK7(U_27,U_25),sK8(U_27,U_25))
| r2_hidden(sK6(U_27,U_25),U_25)
| U_25 = k3_tarski(U_27) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_12,plain,
( r2_hidden(sK8(U_27,U_25),U_27)
| r2_hidden(sK6(U_27,U_25),U_25)
| U_25 = k3_tarski(U_27) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_13,plain,
( ~ r2_hidden(sK7(U_27,U_25),U_25)
| r2_hidden(sK6(U_27,U_25),U_25)
| U_25 = k3_tarski(U_27) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_14,plain,
( r2_hidden(sK7(U_27,U_25),sK8(U_27,U_25))
| ~ r2_hidden(U_15,U_27)
| ~ r2_hidden(sK6(U_27,U_25),U_15)
| U_25 = k3_tarski(U_27) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_15,plain,
( r2_hidden(sK8(U_27,U_25),U_27)
| ~ r2_hidden(U_15,U_27)
| ~ r2_hidden(sK6(U_27,U_25),U_15)
| U_25 = k3_tarski(U_27) ),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_16,plain,
( ~ r2_hidden(sK7(U_27,U_25),U_25)
| ~ r2_hidden(U_15,U_27)
| ~ r2_hidden(sK6(U_27,U_25),U_15)
| U_25 = k3_tarski(U_27) ),
inference(clausify,[status(thm)],[f_5_7]) ).
fof(f_6_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
cnf(f_6_2,plain,
$true,
inference(clausify,[status(thm)],[f_6_1]) ).
fof(f_7_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_zfmisc_1]) ).
cnf(f_7_2,plain,
$true,
inference(clausify,[status(thm)],[f_7_1]) ).
fof(f_8_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_tarski]) ).
cnf(f_8_2,plain,
$true,
inference(clausify,[status(thm)],[f_8_1]) ).
fof(f_9_1,plain,
! [A,B] :
( m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
inference(fof_nnf,[status(thm)],[dt_k5_setfam_1]) ).
fof(f_9_2,plain,
! [U_29,U_28] :
( m1_subset_1(k5_setfam_1(U_29,U_28),k1_zfmisc_1(U_29))
| ~ m1_subset_1(U_28,k1_zfmisc_1(k1_zfmisc_1(U_29))) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( m1_subset_1(k5_setfam_1(U_29,U_28),k1_zfmisc_1(U_29))
| ~ m1_subset_1(U_28,k1_zfmisc_1(k1_zfmisc_1(U_29))) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
cnf(f_10_2,plain,
$true,
inference(clausify,[status(thm)],[f_10_1]) ).
fof(f_11_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_11_2,plain,
! [U_31] :
? [U_30] : m1_subset_1(U_30,U_31),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_31] : m1_subset_1(sK9(U_31),U_31),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_30,sK9(U_31))],[f_11_2]) ).
cnf(f_11_4,plain,
m1_subset_1(sK9(U_31),U_31),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
( v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[fc12_relat_1]) ).
cnf(f_12_2,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
v1_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_12_1]) ).
cnf(f_12_4,plain,
v3_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_12_1]) ).
fof(f_13_1,plain,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
inference(fof_nnf,[status(thm)],[fc1_subset_1]) ).
fof(f_13_2,plain,
! [U_32] : ~ v1_xboole_0(k1_zfmisc_1(U_32)),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
~ v1_xboole_0(k1_zfmisc_1(U_32)),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[fc4_relat_1]) ).
cnf(f_14_2,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
v1_relat_1(k1_xboole_0),
inference(clausify,[status(thm)],[f_14_1]) ).
fof(f_15_1,plain,
? [A] :
( v1_relat_1(A)
& v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_relat_1]) ).
fof(f_15_2,plain,
? [U_33] :
( v1_relat_1(U_33)
& v1_xboole_0(U_33) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( v1_relat_1(sK10)
& v1_xboole_0(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_33,sK10)],[f_15_2]) ).
cnf(f_15_4,plain,
v1_xboole_0(sK10),
inference(clausify,[status(thm)],[f_15_3]) ).
cnf(f_15_5,plain,
v1_relat_1(sK10),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_subset_1]) ).
fof(f_16_2,plain,
! [U_35] :
( ? [U_34] :
( ~ v1_xboole_0(U_34)
& m1_subset_1(U_34,k1_zfmisc_1(U_35)) )
| v1_xboole_0(U_35) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_35] :
( ( ~ v1_xboole_0(sK11(U_35))
& m1_subset_1(sK11(U_35),k1_zfmisc_1(U_35)) )
| v1_xboole_0(U_35) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_34,sK11(U_35))],[f_16_2]) ).
cnf(f_16_4,plain,
( m1_subset_1(sK11(U_35),k1_zfmisc_1(U_35))
| v1_xboole_0(U_35) ),
inference(clausify,[status(thm)],[f_16_3]) ).
cnf(f_16_5,plain,
( ~ v1_xboole_0(sK11(U_35))
| v1_xboole_0(U_35) ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
? [A] :
( v1_relat_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc2_relat_1]) ).
fof(f_17_2,plain,
? [U_36] :
( v1_relat_1(U_36)
& ~ v1_xboole_0(U_36) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( v1_relat_1(sK12)
& ~ v1_xboole_0(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_36,sK12)],[f_17_2]) ).
cnf(f_17_4,plain,
~ v1_xboole_0(sK12),
inference(clausify,[status(thm)],[f_17_3]) ).
cnf(f_17_5,plain,
v1_relat_1(sK12),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[rc2_subset_1]) ).
fof(f_18_2,plain,
! [U_38] :
? [U_37] :
( v1_xboole_0(U_37)
& m1_subset_1(U_37,k1_zfmisc_1(U_38)) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_38] :
( v1_xboole_0(sK13(U_38))
& m1_subset_1(sK13(U_38),k1_zfmisc_1(U_38)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_37,sK13(U_38))],[f_18_2]) ).
cnf(f_18_4,plain,
m1_subset_1(sK13(U_38),k1_zfmisc_1(U_38)),
inference(clausify,[status(thm)],[f_18_3]) ).
cnf(f_18_5,plain,
v1_xboole_0(sK13(U_38)),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
? [A] :
( v3_relat_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_relat_1]) ).
fof(f_19_2,plain,
? [U_39] :
( v3_relat_1(U_39)
& v1_relat_1(U_39) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
( v3_relat_1(sK14)
& v1_relat_1(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_39,sK14)],[f_19_2]) ).
cnf(f_19_4,plain,
v1_relat_1(sK14),
inference(clausify,[status(thm)],[f_19_3]) ).
cnf(f_19_5,plain,
v3_relat_1(sK14),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_1,plain,
! [A,B] :
( k5_setfam_1(A,B) = k3_tarski(B)
| ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
inference(fof_nnf,[status(thm)],[redefinition_k5_setfam_1]) ).
fof(f_20_2,plain,
! [U_41,U_40] :
( k5_setfam_1(U_41,U_40) = k3_tarski(U_40)
| ~ m1_subset_1(U_40,k1_zfmisc_1(k1_zfmisc_1(U_41))) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
cnf(f_20_3,plain,
( k5_setfam_1(U_41,U_40) = k3_tarski(U_40)
| ~ m1_subset_1(U_40,k1_zfmisc_1(k1_zfmisc_1(U_41))) ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
! [A,B] : r1_tarski(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_21_2,plain,
! [U_43,U_42] : r1_tarski(U_43,U_43),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_43] : r1_tarski(U_43,U_43),
inference(miniscope,[status(thm)],[f_21_2]) ).
cnf(f_21_4,plain,
r1_tarski(U_43,U_43),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
! [A,B] :
( m1_subset_1(A,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_22_2,plain,
! [U_45,U_44] :
( m1_subset_1(U_45,U_44)
| ~ r2_hidden(U_45,U_44) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
cnf(f_22_3,plain,
( m1_subset_1(U_45,U_44)
| ~ r2_hidden(U_45,U_44) ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [A,B] :
( r2_hidden(A,B)
| v1_xboole_0(B)
| ~ m1_subset_1(A,B) ),
inference(fof_nnf,[status(thm)],[t2_subset]) ).
fof(f_23_2,plain,
! [U_47,U_46] :
( r2_hidden(U_47,U_46)
| v1_xboole_0(U_46)
| ~ m1_subset_1(U_47,U_46) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( r2_hidden(U_47,U_46)
| v1_xboole_0(U_46)
| ~ m1_subset_1(U_47,U_46) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
! [A,B] :
( ( m1_subset_1(A,k1_zfmisc_1(B))
| ~ r1_tarski(A,B) )
& ( r1_tarski(A,B)
| ~ m1_subset_1(A,k1_zfmisc_1(B)) ) ),
inference(fof_nnf,[status(thm)],[t3_subset]) ).
fof(f_24_2,plain,
! [U_49,U_48] :
( ( m1_subset_1(U_49,k1_zfmisc_1(U_48))
| ~ r1_tarski(U_49,U_48) )
& ( r1_tarski(U_49,U_48)
| ~ m1_subset_1(U_49,k1_zfmisc_1(U_48)) ) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
( ! [U_53,U_51] :
( m1_subset_1(U_53,k1_zfmisc_1(U_51))
| ~ r1_tarski(U_53,U_51) )
& ! [U_52,U_50] :
( r1_tarski(U_52,U_50)
| ~ m1_subset_1(U_52,k1_zfmisc_1(U_50)) ) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
cnf(f_24_4,plain,
( r1_tarski(U_52,U_50)
| ~ m1_subset_1(U_52,k1_zfmisc_1(U_50)) ),
inference(clausify,[status(thm)],[f_24_3]) ).
cnf(f_24_5,plain,
( m1_subset_1(U_53,k1_zfmisc_1(U_51))
| ~ r1_tarski(U_53,U_51) ),
inference(clausify,[status(thm)],[f_24_3]) ).
fof(f_25_1,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t4_subset]) ).
fof(f_25_2,plain,
! [U_56,U_55,U_54] :
( m1_subset_1(U_56,U_54)
| ~ m1_subset_1(U_55,k1_zfmisc_1(U_54))
| ~ r2_hidden(U_56,U_55) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( m1_subset_1(U_56,U_54)
| ~ m1_subset_1(U_55,k1_zfmisc_1(U_54))
| ~ r2_hidden(U_56,U_55) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
! [A,B,C] :
( ~ v1_xboole_0(C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t5_subset]) ).
fof(f_26_2,plain,
! [U_59,U_58,U_57] :
( ~ v1_xboole_0(U_57)
| ~ m1_subset_1(U_58,k1_zfmisc_1(U_57))
| ~ r2_hidden(U_59,U_58) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
! [U_59,U_58] :
( ! [U_57] :
( ~ v1_xboole_0(U_57)
| ~ m1_subset_1(U_58,k1_zfmisc_1(U_57)) )
| ~ r2_hidden(U_59,U_58) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
cnf(f_26_4,plain,
( ~ v1_xboole_0(U_57)
| ~ m1_subset_1(U_58,k1_zfmisc_1(U_57))
| ~ r2_hidden(U_59,U_58) ),
inference(clausify,[status(thm)],[f_26_3]) ).
fof(f_27_1,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_27_2,plain,
! [U_60] :
( U_60 = k1_xboole_0
| ~ v1_xboole_0(U_60) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( U_60 = k1_xboole_0
| ~ v1_xboole_0(U_60) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_28_2,plain,
! [U_62,U_61] :
( ~ v1_xboole_0(U_61)
| ~ r2_hidden(U_62,U_61) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( ~ v1_xboole_0(U_61)
| ~ r2_hidden(U_62,U_61) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| A = B
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_29_2,plain,
! [U_64,U_63] :
( ~ v1_xboole_0(U_63)
| U_64 = U_63
| ~ v1_xboole_0(U_64) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
! [U_64] :
( ! [U_63] :
( ~ v1_xboole_0(U_63)
| U_64 = U_63 )
| ~ v1_xboole_0(U_64) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
cnf(f_29_4,plain,
( ~ v1_xboole_0(U_63)
| U_64 = U_63
| ~ v1_xboole_0(U_64) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_6_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_6_2]) ).
cnf(f_7_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_7_2]) ).
cnf(f_8_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_8_2]) ).
cnf(f_10_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_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,
( k1_zfmisc_1(Eq_x_0) = k1_zfmisc_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( k5_setfam_1(Eq_x_0,Eq_x_1) = k5_setfam_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( k3_tarski(Eq_x_0) = k3_tarski(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK4(Eq_x_0) = sK4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK5(Eq_x_0,Eq_x_1,Eq_x_2) = sK5(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_9,axiom,
( sK6(Eq_x_0,Eq_x_1) = sK6(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( sK7(Eq_x_0,Eq_x_1) = sK7(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( sK8(Eq_x_0,Eq_x_1) = sK8(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( sK9(Eq_x_0) = sK9(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( sK11(Eq_x_0) = sK11(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( sK13(Eq_x_0) = sK13(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( m1_subset_1(Eq_y_0,Eq_y_1)
| ~ m1_subset_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( r2_hidden(Eq_y_0,Eq_y_1)
| ~ r2_hidden(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( v1_xboole_0(Eq_y_0)
| ~ v1_xboole_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( v1_relat_1(Eq_y_0)
| ~ v1_relat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( v3_relat_1(Eq_y_0)
| ~ v3_relat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,axiom,
( r1_tarski(Eq_y_0,Eq_y_1)
| ~ r1_tarski(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,axiom,
( sP1(Eq_y_0)
| ~ sP1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU430+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ 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
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 00:25:34 UTC 2026
% 0.02/0.36 % CPUTime :
% 120.14/120.44 % SZS status Theorem for theBenchmark
% 120.14/120.44 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------