%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU241+1 : TPTP v9.3.1. Released v3.3.0.
% 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 : n015.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 08:58:39 AM UTC 2026
% Result : Theorem 85.06s 90.32s
% Output : Proof 85.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 99 ( 52 unt; 0 def)
% Number of atoms : 289 ( 32 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 308 ( 118 ~; 117 |; 60 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 88 ( 1 sgn 55 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d12_relat_2,axiom,
! [A] :
( relation(A)
=> ( antisymmetric(A)
<=> is_antisymmetric_in(A,relation_field(A)) ) ),
file('theBenchmark.p',d12_relat_2) ).
fof(d4_relat_2,axiom,
! [A] :
( relation(A)
=> ! [B] :
( is_antisymmetric_in(A,B)
<=> ! [C,D] :
( ( in(ordered_pair(D,C),A)
& in(ordered_pair(C,D),A)
& in(D,B)
& in(C,B) )
=> C = D ) ) ),
file('theBenchmark.p',d4_relat_2) ).
fof(l3_wellord1,conjecture,
! [A] :
( relation(A)
=> ( antisymmetric(A)
<=> ! [B,C] :
( ( in(ordered_pair(C,B),A)
& in(ordered_pair(B,C),A) )
=> B = C ) ) ),
file('theBenchmark.p',l3_wellord1) ).
fof(t30_relat_1,axiom,
! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(B,relation_field(C))
& in(A,relation_field(C)) ) ) ),
file('theBenchmark.p',t30_relat_1) ).
fof(f_6_1,plain,
! [A] :
( ( ( antisymmetric(A)
| ~ is_antisymmetric_in(A,relation_field(A)) )
& ( is_antisymmetric_in(A,relation_field(A))
| ~ antisymmetric(A) ) )
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[d12_relat_2]) ).
fof(f_6_2,plain,
! [U_8] :
( ( ( antisymmetric(U_8)
| ~ is_antisymmetric_in(U_8,relation_field(U_8)) )
& ( is_antisymmetric_in(U_8,relation_field(U_8))
| ~ antisymmetric(U_8) ) )
| ~ relation(U_8) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( is_antisymmetric_in(U_8,relation_field(U_8))
| ~ antisymmetric(U_8)
| ~ relation(U_8) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( antisymmetric(U_8)
| ~ is_antisymmetric_in(U_8,relation_field(U_8))
| ~ relation(U_8) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [A] :
( ! [B] :
( ( is_antisymmetric_in(A,B)
| ? [C,D] :
( C != D
& in(ordered_pair(D,C),A)
& in(ordered_pair(C,D),A)
& in(D,B)
& in(C,B) ) )
& ( ! [C,D] :
( C = D
| ~ in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(D,B)
| ~ in(C,B) )
| ~ is_antisymmetric_in(A,B) ) )
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[d4_relat_2]) ).
fof(f_7_2,plain,
! [U_14] :
( ! [U_13] :
( ( is_antisymmetric_in(U_14,U_13)
| ? [U_12,U_11] :
( U_12 != U_11
& in(ordered_pair(U_11,U_12),U_14)
& in(ordered_pair(U_12,U_11),U_14)
& in(U_11,U_13)
& in(U_12,U_13) ) )
& ( ! [U_10,U_9] :
( U_10 = U_9
| ~ in(ordered_pair(U_9,U_10),U_14)
| ~ in(ordered_pair(U_10,U_9),U_14)
| ~ in(U_9,U_13)
| ~ in(U_10,U_13) )
| ~ is_antisymmetric_in(U_14,U_13) ) )
| ~ relation(U_14) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_14] :
( ( ! [U_16] :
( is_antisymmetric_in(U_14,U_16)
| ? [U_12,U_11] :
( U_12 != U_11
& in(ordered_pair(U_11,U_12),U_14)
& in(ordered_pair(U_12,U_11),U_14)
& in(U_11,U_16)
& in(U_12,U_16) ) )
& ! [U_15] :
( ! [U_10,U_9] :
( U_10 = U_9
| ~ in(ordered_pair(U_9,U_10),U_14)
| ~ in(ordered_pair(U_10,U_9),U_14)
| ~ in(U_9,U_15)
| ~ in(U_10,U_15) )
| ~ is_antisymmetric_in(U_14,U_15) ) )
| ~ relation(U_14) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
! [U_14] :
( ( ! [U_16] :
( is_antisymmetric_in(U_14,U_16)
| ? [U_11] :
( sK1(U_14,U_16) != U_11
& in(ordered_pair(U_11,sK1(U_14,U_16)),U_14)
& in(ordered_pair(sK1(U_14,U_16),U_11),U_14)
& in(U_11,U_16)
& in(sK1(U_14,U_16),U_16) ) )
& ! [U_15] :
( ! [U_10,U_9] :
( U_10 = U_9
| ~ in(ordered_pair(U_9,U_10),U_14)
| ~ in(ordered_pair(U_10,U_9),U_14)
| ~ in(U_9,U_15)
| ~ in(U_10,U_15) )
| ~ is_antisymmetric_in(U_14,U_15) ) )
| ~ relation(U_14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_12,sK1(U_14,U_16))],[f_7_3]) ).
fof(f_7_5,plain,
! [U_14] :
( ( ! [U_16] :
( is_antisymmetric_in(U_14,U_16)
| ( sK1(U_14,U_16) != sK2(U_14,U_16)
& in(ordered_pair(sK2(U_14,U_16),sK1(U_14,U_16)),U_14)
& in(ordered_pair(sK1(U_14,U_16),sK2(U_14,U_16)),U_14)
& in(sK2(U_14,U_16),U_16)
& in(sK1(U_14,U_16),U_16) ) )
& ! [U_15] :
( ! [U_10,U_9] :
( U_10 = U_9
| ~ in(ordered_pair(U_9,U_10),U_14)
| ~ in(ordered_pair(U_10,U_9),U_14)
| ~ in(U_9,U_15)
| ~ in(U_10,U_15) )
| ~ is_antisymmetric_in(U_14,U_15) ) )
| ~ relation(U_14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_11,sK2(U_14,U_16))],[f_7_4]) ).
cnf(f_7_6,plain,
( U_10 = U_9
| ~ in(ordered_pair(U_9,U_10),U_14)
| ~ in(ordered_pair(U_10,U_9),U_14)
| ~ in(U_9,U_15)
| ~ in(U_10,U_15)
| ~ is_antisymmetric_in(U_14,U_15)
| ~ relation(U_14) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_9,plain,
( in(ordered_pair(sK1(U_14,U_16),sK2(U_14,U_16)),U_14)
| is_antisymmetric_in(U_14,U_16)
| ~ relation(U_14) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_10,plain,
( in(ordered_pair(sK2(U_14,U_16),sK1(U_14,U_16)),U_14)
| is_antisymmetric_in(U_14,U_16)
| ~ relation(U_14) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_11,plain,
( sK1(U_14,U_16) != sK2(U_14,U_16)
| is_antisymmetric_in(U_14,U_16)
| ~ relation(U_14) ),
inference(clausify,[status(thm)],[f_7_5]) ).
fof(f_25_1,negated_conjecture,
~ ! [A] :
( relation(A)
=> ( antisymmetric(A)
<=> ! [B,C] :
( ( in(ordered_pair(C,B),A)
& in(ordered_pair(B,C),A) )
=> B = C ) ) ),
inference(negate,[status(cth)],[l3_wellord1]) ).
fof(f_25_2,negated_conjecture,
? [A] :
( ( ( ~ antisymmetric(A)
& ! [B,C] :
( B = C
| ~ in(ordered_pair(C,B),A)
| ~ in(ordered_pair(B,C),A) ) )
| ( ? [B,C] :
( B != C
& in(ordered_pair(C,B),A)
& in(ordered_pair(B,C),A) )
& antisymmetric(A) ) )
& relation(A) ),
inference(fof_nnf,[status(thm)],[f_25_1]) ).
fof(f_25_3,negated_conjecture,
? [U_34] :
( ( ( ~ antisymmetric(U_34)
& ! [U_33,U_32] :
( U_33 = U_32
| ~ in(ordered_pair(U_32,U_33),U_34)
| ~ in(ordered_pair(U_33,U_32),U_34) ) )
| ( ? [U_31,U_30] :
( U_31 != U_30
& in(ordered_pair(U_30,U_31),U_34)
& in(ordered_pair(U_31,U_30),U_34) )
& antisymmetric(U_34) ) )
& relation(U_34) ),
inference(variable_rename,[status(thm)],[f_25_2]) ).
fof(f_25_4,negated_conjecture,
( ( ( ~ antisymmetric(sK4)
& ! [U_33,U_32] :
( U_33 = U_32
| ~ in(ordered_pair(U_32,U_33),sK4)
| ~ in(ordered_pair(U_33,U_32),sK4) ) )
| ( ? [U_31,U_30] :
( U_31 != U_30
& in(ordered_pair(U_30,U_31),sK4)
& in(ordered_pair(U_31,U_30),sK4) )
& antisymmetric(sK4) ) )
& relation(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_34,sK4)],[f_25_3]) ).
fof(f_25_5,negated_conjecture,
( ( ( ~ antisymmetric(sK4)
& ! [U_33,U_32] :
( U_33 = U_32
| ~ in(ordered_pair(U_32,U_33),sK4)
| ~ in(ordered_pair(U_33,U_32),sK4) ) )
| ( ? [U_30] :
( sK5 != U_30
& in(ordered_pair(U_30,sK5),sK4)
& in(ordered_pair(sK5,U_30),sK4) )
& antisymmetric(sK4) ) )
& relation(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_31,sK5)],[f_25_4]) ).
fof(f_25_6,negated_conjecture,
( ( ( ~ antisymmetric(sK4)
& ! [U_33,U_32] :
( U_33 = U_32
| ~ in(ordered_pair(U_32,U_33),sK4)
| ~ in(ordered_pair(U_33,U_32),sK4) ) )
| ( sK5 != sK6
& in(ordered_pair(sK6,sK5),sK4)
& in(ordered_pair(sK5,sK6),sK4)
& antisymmetric(sK4) ) )
& relation(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_30,sK6)],[f_25_5]) ).
cnf(f_25_7,negated_conjecture,
relation(sK4),
inference(clausify,[status(thm)],[f_25_6]) ).
cnf(f_25_8,negated_conjecture,
( U_33 = U_32
| ~ in(ordered_pair(U_32,U_33),sK4)
| ~ in(ordered_pair(U_33,U_32),sK4)
| antisymmetric(sK4) ),
inference(clausify,[status(thm)],[f_25_6]) ).
cnf(f_25_13,negated_conjecture,
( in(ordered_pair(sK5,sK6),sK4)
| ~ antisymmetric(sK4) ),
inference(clausify,[status(thm)],[f_25_6]) ).
cnf(f_25_14,negated_conjecture,
( in(ordered_pair(sK6,sK5),sK4)
| ~ antisymmetric(sK4) ),
inference(clausify,[status(thm)],[f_25_6]) ).
cnf(f_25_15,negated_conjecture,
( sK5 != sK6
| ~ antisymmetric(sK4) ),
inference(clausify,[status(thm)],[f_25_6]) ).
fof(f_34_1,plain,
! [A,B,C] :
( ( in(B,relation_field(C))
& in(A,relation_field(C)) )
| ~ in(ordered_pair(A,B),C)
| ~ relation(C) ),
inference(fof_nnf,[status(thm)],[t30_relat_1]) ).
fof(f_34_2,plain,
! [U_47,U_46,U_45] :
( ( in(U_46,relation_field(U_45))
& in(U_47,relation_field(U_45)) )
| ~ in(ordered_pair(U_47,U_46),U_45)
| ~ relation(U_45) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_4,plain,
( in(U_46,relation_field(U_45))
| ~ in(ordered_pair(U_47,U_46),U_45)
| ~ relation(U_45) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(t1,plain,
( sK5 != sK6
| ~ antisymmetric(sK4) ),
inference(start,[status(thm),parent(0:0)],[f_25_15]) ).
cnf(t2,plain,
( ~ is_antisymmetric_in(sK4,relation_field(sK4))
| ~ relation(sK4)
| antisymmetric(sK4) ),
inference(extension,[status(thm),parent(t1:1)],[f_6_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
relation(sK4),
inference(extension,[status(thm),parent(t2:2)],[f_25_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(l2,lemma,
relation(sK4),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t6,plain,
( sK1(sK4,relation_field(sK4)) != sK2(sK4,relation_field(sK4))
| ~ relation(sK4)
| is_antisymmetric_in(sK4,relation_field(sK4)) ),
inference(extension,[status(thm),parent(t2:3)],[f_7_11]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
relation(sK4),
inference(lemma_extension,[status(thm),parent(t6:2)],[l2:1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ in(ordered_pair(sK1(sK4,relation_field(sK4)),sK2(sK4,relation_field(sK4))),sK4)
| ~ in(ordered_pair(sK2(sK4,relation_field(sK4)),sK1(sK4,relation_field(sK4))),sK4)
| antisymmetric(sK4)
| sK1(sK4,relation_field(sK4)) = sK2(sK4,relation_field(sK4)) ),
inference(extension,[status(thm),parent(t6:3)],[f_25_8]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
$false,
inference(reduction,[status(thm),parent(t10:2)],[t10:2,t1:1]) ).
cnf(t13,plain,
( is_antisymmetric_in(sK4,relation_field(sK4))
| ~ relation(sK4)
| in(ordered_pair(sK2(sK4,relation_field(sK4)),sK1(sK4,relation_field(sK4))),sK4) ),
inference(extension,[status(thm),parent(t10:3)],[f_7_10]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t10:3]) ).
cnf(t15,plain,
relation(sK4),
inference(lemma_extension,[status(thm),parent(t13:2)],[l2:1]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t13:2]) ).
cnf(t17,plain,
$false,
inference(reduction,[status(thm),parent(t13:3)],[t13:3,t2:3]) ).
cnf(t18,plain,
( is_antisymmetric_in(sK4,relation_field(sK4))
| ~ relation(sK4)
| in(ordered_pair(sK1(sK4,relation_field(sK4)),sK2(sK4,relation_field(sK4))),sK4) ),
inference(extension,[status(thm),parent(t10:4)],[f_7_9]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t10:4]) ).
cnf(t20,plain,
relation(sK4),
inference(lemma_extension,[status(thm),parent(t18:2)],[l2:1]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
$false,
inference(reduction,[status(thm),parent(t18:3)],[t18:3,t2:3]) ).
cnf(l1,lemma,
antisymmetric(sK4),
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t23,plain,
( ~ in(ordered_pair(sK5,sK6),sK4)
| ~ in(ordered_pair(sK6,sK5),sK4)
| antisymmetric(sK4)
| sK5 = sK6 ),
inference(extension,[status(thm),parent(t1:2)],[f_25_8]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t1:2]) ).
cnf(t25,plain,
( is_antisymmetric_in(sK4,relation_field(sK4))
| ~ relation(sK4)
| ~ antisymmetric(sK4) ),
inference(extension,[status(thm),parent(t23:2)],[f_6_3]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t23:2]) ).
cnf(t27,plain,
relation(sK4),
inference(extension,[status(thm),parent(t25:2)],[f_25_7]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t25:2]) ).
cnf(l12,lemma,
relation(sK4),
inference(lemma,[status(cth),parent(t25:2),below(t23:2)],[t25:2]) ).
cnf(t29,plain,
( sK5 = sK6
| ~ in(sK5,relation_field(sK4))
| ~ in(sK6,relation_field(sK4))
| ~ in(ordered_pair(sK5,sK6),sK4)
| ~ in(ordered_pair(sK6,sK5),sK4)
| ~ relation(sK4)
| ~ is_antisymmetric_in(sK4,relation_field(sK4)) ),
inference(extension,[status(thm),parent(t25:3)],[f_7_6]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t25:3]) ).
cnf(t31,plain,
relation(sK4),
inference(lemma_extension,[status(thm),parent(t29:2)],[l12:1]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t29:2]) ).
cnf(t33,plain,
( ~ antisymmetric(sK4)
| in(ordered_pair(sK6,sK5),sK4) ),
inference(extension,[status(thm),parent(t29:3)],[f_25_14]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t29:3]) ).
cnf(t35,plain,
antisymmetric(sK4),
inference(lemma_extension,[status(thm),parent(t33:2)],[l1:1]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t33:2]) ).
cnf(t37,plain,
( ~ antisymmetric(sK4)
| in(ordered_pair(sK5,sK6),sK4) ),
inference(extension,[status(thm),parent(t29:4)],[f_25_13]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t29:4]) ).
cnf(t39,plain,
antisymmetric(sK4),
inference(lemma_extension,[status(thm),parent(t37:2)],[l1:1]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t37:2]) ).
cnf(t41,plain,
( ~ in(ordered_pair(sK5,sK6),sK4)
| ~ relation(sK4)
| in(sK6,relation_field(sK4)) ),
inference(extension,[status(thm),parent(t29:5)],[f_34_4]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t29:5]) ).
cnf(t43,plain,
relation(sK4),
inference(lemma_extension,[status(thm),parent(t41:2)],[l12:1]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t41:2]) ).
cnf(t45,plain,
( ~ antisymmetric(sK4)
| in(ordered_pair(sK5,sK6),sK4) ),
inference(extension,[status(thm),parent(t41:3)],[f_25_13]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t41:3]) ).
cnf(t47,plain,
antisymmetric(sK4),
inference(lemma_extension,[status(thm),parent(t45:2)],[l1:1]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t45:2]) ).
cnf(t49,plain,
( ~ in(ordered_pair(sK6,sK5),sK4)
| ~ relation(sK4)
| in(sK5,relation_field(sK4)) ),
inference(extension,[status(thm),parent(t29:6)],[f_34_4]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t29:6]) ).
cnf(t51,plain,
relation(sK4),
inference(lemma_extension,[status(thm),parent(t49:2)],[l12:1]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t49:2]) ).
cnf(t53,plain,
( ~ antisymmetric(sK4)
| in(ordered_pair(sK6,sK5),sK4) ),
inference(extension,[status(thm),parent(t49:3)],[f_25_14]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t49:3]) ).
cnf(t55,plain,
antisymmetric(sK4),
inference(lemma_extension,[status(thm),parent(t53:2)],[l1:1]) ).
cnf(t56,plain,
$false,
inference(connection,[status(thm),parent(t55:1)],[t55:1,t53:2]) ).
cnf(t57,plain,
$false,
inference(reduction,[status(thm),parent(t29:7)],[t29:7,t1:2]) ).
cnf(t58,plain,
( ~ antisymmetric(sK4)
| in(ordered_pair(sK6,sK5),sK4) ),
inference(extension,[status(thm),parent(t23:3)],[f_25_14]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t23:3]) ).
cnf(t60,plain,
antisymmetric(sK4),
inference(lemma_extension,[status(thm),parent(t58:2)],[l1:1]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(t62,plain,
( ~ antisymmetric(sK4)
| in(ordered_pair(sK5,sK6),sK4) ),
inference(extension,[status(thm),parent(t23:4)],[f_25_13]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t23:4]) ).
cnf(t64,plain,
antisymmetric(sK4),
inference(lemma_extension,[status(thm),parent(t62:2)],[l1:1]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU241+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ 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
% 0.09/5.37 % Computer : n015.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 19 23:41:11 UTC 2026
% 0.09/5.37 % CPUTime :
% 85.06/90.32 % SZS status Theorem for theBenchmark
% 85.06/90.32 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------