%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU261+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 : n016.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 08:58:46 AM UTC 2026
% Result : Theorem 0.09s 0.85s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 133 ( 97 unt; 0 def)
% Number of atoms : 345 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 347 ( 135 ~; 126 |; 67 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 48 ( 0 sgn 18 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_wellord1,axiom,
! [A] :
( relation(A)
=> ( well_ordering(A)
<=> ( well_founded_relation(A)
& connected(A)
& antisymmetric(A)
& transitive(A)
& reflexive(A) ) ) ),
file('theBenchmark.p',d4_wellord1) ).
fof(t53_wellord1,axiom,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ! [C] :
( ( function(C)
& relation(C) )
=> ( relation_isomorphism(A,B,C)
=> ( ( well_founded_relation(A)
=> well_founded_relation(B) )
& ( antisymmetric(A)
=> antisymmetric(B) )
& ( connected(A)
=> connected(B) )
& ( transitive(A)
=> transitive(B) )
& ( reflexive(A)
=> reflexive(B) ) ) ) ) ) ),
file('theBenchmark.p',t53_wellord1) ).
fof(t54_wellord1,conjecture,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ! [C] :
( ( function(C)
& relation(C) )
=> ( ( relation_isomorphism(A,B,C)
& well_ordering(A) )
=> well_ordering(B) ) ) ) ),
file('theBenchmark.p',t54_wellord1) ).
fof(f_1_1,plain,
! [A] :
( ( ( well_ordering(A)
| ~ well_founded_relation(A)
| ~ connected(A)
| ~ antisymmetric(A)
| ~ transitive(A)
| ~ reflexive(A) )
& ( ( well_founded_relation(A)
& connected(A)
& antisymmetric(A)
& transitive(A)
& reflexive(A) )
| ~ well_ordering(A) ) )
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[d4_wellord1]) ).
fof(f_1_2,plain,
! [U_0] :
( ( ( well_ordering(U_0)
| ~ well_founded_relation(U_0)
| ~ connected(U_0)
| ~ antisymmetric(U_0)
| ~ transitive(U_0)
| ~ reflexive(U_0) )
& ( ( well_founded_relation(U_0)
& connected(U_0)
& antisymmetric(U_0)
& transitive(U_0)
& reflexive(U_0) )
| ~ well_ordering(U_0) ) )
| ~ relation(U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( reflexive(U_0)
| ~ well_ordering(U_0)
| ~ relation(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
( transitive(U_0)
| ~ well_ordering(U_0)
| ~ relation(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
cnf(f_1_5,plain,
( antisymmetric(U_0)
| ~ well_ordering(U_0)
| ~ relation(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
cnf(f_1_6,plain,
( connected(U_0)
| ~ well_ordering(U_0)
| ~ relation(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
cnf(f_1_7,plain,
( well_founded_relation(U_0)
| ~ well_ordering(U_0)
| ~ relation(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
cnf(f_1_8,plain,
( well_ordering(U_0)
| ~ well_founded_relation(U_0)
| ~ connected(U_0)
| ~ antisymmetric(U_0)
| ~ transitive(U_0)
| ~ reflexive(U_0)
| ~ relation(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_3_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( well_founded_relation(B)
| ~ well_founded_relation(A) )
& ( antisymmetric(B)
| ~ antisymmetric(A) )
& ( connected(B)
| ~ connected(A) )
& ( transitive(B)
| ~ transitive(A) )
& ( reflexive(B)
| ~ reflexive(A) ) )
| ~ relation_isomorphism(A,B,C)
| ~ function(C)
| ~ relation(C) )
| ~ relation(B) )
| ~ relation(A) ),
inference(fof_nnf,[status(thm)],[t53_wellord1]) ).
fof(f_3_2,plain,
! [U_4] :
( ! [U_3] :
( ! [U_2] :
( ( ( well_founded_relation(U_3)
| ~ well_founded_relation(U_4) )
& ( antisymmetric(U_3)
| ~ antisymmetric(U_4) )
& ( connected(U_3)
| ~ connected(U_4) )
& ( transitive(U_3)
| ~ transitive(U_4) )
& ( reflexive(U_3)
| ~ reflexive(U_4) ) )
| ~ relation_isomorphism(U_4,U_3,U_2)
| ~ function(U_2)
| ~ relation(U_2) )
| ~ relation(U_3) )
| ~ relation(U_4) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( reflexive(U_3)
| ~ reflexive(U_4)
| ~ relation_isomorphism(U_4,U_3,U_2)
| ~ function(U_2)
| ~ relation(U_2)
| ~ relation(U_3)
| ~ relation(U_4) ),
inference(clausify,[status(thm)],[f_3_2]) ).
cnf(f_3_4,plain,
( transitive(U_3)
| ~ transitive(U_4)
| ~ relation_isomorphism(U_4,U_3,U_2)
| ~ function(U_2)
| ~ relation(U_2)
| ~ relation(U_3)
| ~ relation(U_4) ),
inference(clausify,[status(thm)],[f_3_2]) ).
cnf(f_3_5,plain,
( connected(U_3)
| ~ connected(U_4)
| ~ relation_isomorphism(U_4,U_3,U_2)
| ~ function(U_2)
| ~ relation(U_2)
| ~ relation(U_3)
| ~ relation(U_4) ),
inference(clausify,[status(thm)],[f_3_2]) ).
cnf(f_3_6,plain,
( antisymmetric(U_3)
| ~ antisymmetric(U_4)
| ~ relation_isomorphism(U_4,U_3,U_2)
| ~ function(U_2)
| ~ relation(U_2)
| ~ relation(U_3)
| ~ relation(U_4) ),
inference(clausify,[status(thm)],[f_3_2]) ).
cnf(f_3_7,plain,
( well_founded_relation(U_3)
| ~ well_founded_relation(U_4)
| ~ relation_isomorphism(U_4,U_3,U_2)
| ~ function(U_2)
| ~ relation(U_2)
| ~ relation(U_3)
| ~ relation(U_4) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,negated_conjecture,
~ ! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ! [C] :
( ( function(C)
& relation(C) )
=> ( ( relation_isomorphism(A,B,C)
& well_ordering(A) )
=> well_ordering(B) ) ) ) ),
inference(negate,[status(cth)],[t54_wellord1]) ).
fof(f_4_2,negated_conjecture,
? [A] :
( ? [B] :
( ? [C] :
( ~ well_ordering(B)
& relation_isomorphism(A,B,C)
& well_ordering(A)
& function(C)
& relation(C) )
& relation(B) )
& relation(A) ),
inference(fof_nnf,[status(thm)],[f_4_1]) ).
fof(f_4_3,negated_conjecture,
? [U_7] :
( ? [U_6] :
( ? [U_5] :
( ~ well_ordering(U_6)
& relation_isomorphism(U_7,U_6,U_5)
& well_ordering(U_7)
& function(U_5)
& relation(U_5) )
& relation(U_6) )
& relation(U_7) ),
inference(variable_rename,[status(thm)],[f_4_2]) ).
fof(f_4_4,negated_conjecture,
( ? [U_6] :
( ? [U_5] :
( ~ well_ordering(U_6)
& relation_isomorphism(sK2,U_6,U_5)
& well_ordering(sK2)
& function(U_5)
& relation(U_5) )
& relation(U_6) )
& relation(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_7,sK2)],[f_4_3]) ).
fof(f_4_5,negated_conjecture,
( ? [U_5] :
( ~ well_ordering(sK3)
& relation_isomorphism(sK2,sK3,U_5)
& well_ordering(sK2)
& function(U_5)
& relation(U_5) )
& relation(sK3)
& relation(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_6,sK3)],[f_4_4]) ).
fof(f_4_6,negated_conjecture,
( ~ well_ordering(sK3)
& relation_isomorphism(sK2,sK3,sK4)
& well_ordering(sK2)
& function(sK4)
& relation(sK4)
& relation(sK3)
& relation(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_5,sK4)],[f_4_5]) ).
fof(f_4_7,negated_conjecture,
( ~ well_ordering(sK3)
& relation_isomorphism(sK2,sK3,sK4)
& well_ordering(sK2)
& function(sK4)
& relation(sK4)
& relation(sK3)
& relation(sK2) ),
inference(definitional_conversion,[status(esa)],[f_4_6]) ).
cnf(f_4_8,negated_conjecture,
relation(sK2),
inference(clausify,[status(thm)],[f_4_7]) ).
cnf(f_4_9,negated_conjecture,
relation(sK3),
inference(clausify,[status(thm)],[f_4_7]) ).
cnf(f_4_10,negated_conjecture,
relation(sK4),
inference(clausify,[status(thm)],[f_4_7]) ).
cnf(f_4_11,negated_conjecture,
function(sK4),
inference(clausify,[status(thm)],[f_4_7]) ).
cnf(f_4_12,negated_conjecture,
well_ordering(sK2),
inference(clausify,[status(thm)],[f_4_7]) ).
cnf(f_4_13,negated_conjecture,
relation_isomorphism(sK2,sK3,sK4),
inference(clausify,[status(thm)],[f_4_7]) ).
cnf(f_4_14,negated_conjecture,
~ well_ordering(sK3),
inference(clausify,[status(thm)],[f_4_7]) ).
cnf(t1,plain,
~ well_ordering(sK3),
inference(start,[status(thm),parent(0:0)],[f_4_14]) ).
cnf(t2,plain,
( ~ reflexive(sK3)
| ~ transitive(sK3)
| ~ antisymmetric(sK3)
| ~ connected(sK3)
| ~ well_founded_relation(sK3)
| ~ relation(sK3)
| well_ordering(sK3) ),
inference(extension,[status(thm),parent(t1:1)],[f_1_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
relation(sK3),
inference(extension,[status(thm),parent(t2:2)],[f_4_9]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(l2,lemma,
relation(sK3),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t6,plain,
( ~ relation(sK3)
| ~ relation(sK4)
| ~ function(sK4)
| ~ relation_isomorphism(sK2,sK3,sK4)
| ~ well_founded_relation(sK2)
| ~ relation(sK2)
| well_founded_relation(sK3) ),
inference(extension,[status(thm),parent(t2:3)],[f_3_7]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
relation(sK2),
inference(extension,[status(thm),parent(t6:2)],[f_4_8]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(l4,lemma,
relation(sK2),
inference(lemma,[status(cth),parent(t6:2),below(t2:3)],[t6:2]) ).
cnf(t10,plain,
( ~ well_ordering(sK2)
| ~ relation(sK2)
| well_founded_relation(sK2) ),
inference(extension,[status(thm),parent(t6:3)],[f_1_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
relation(sK2),
inference(lemma_extension,[status(thm),parent(t10:2)],[l4:1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
well_ordering(sK2),
inference(extension,[status(thm),parent(t10:3)],[f_4_12]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
relation_isomorphism(sK2,sK3,sK4),
inference(extension,[status(thm),parent(t6:4)],[f_4_13]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:4]) ).
cnf(t18,plain,
function(sK4),
inference(extension,[status(thm),parent(t6:5)],[f_4_11]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t6:5]) ).
cnf(t20,plain,
relation(sK4),
inference(extension,[status(thm),parent(t6:6)],[f_4_10]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t6:6]) ).
cnf(t22,plain,
relation(sK3),
inference(lemma_extension,[status(thm),parent(t6:7)],[l2:1]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t6:7]) ).
cnf(t24,plain,
( ~ relation(sK3)
| ~ relation(sK4)
| ~ function(sK4)
| ~ relation_isomorphism(sK2,sK3,sK4)
| ~ connected(sK2)
| ~ relation(sK2)
| connected(sK3) ),
inference(extension,[status(thm),parent(t2:4)],[f_3_5]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t2:4]) ).
cnf(t26,plain,
relation(sK2),
inference(extension,[status(thm),parent(t24:2)],[f_4_8]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(l11,lemma,
relation(sK2),
inference(lemma,[status(cth),parent(t24:2),below(t2:4)],[t24:2]) ).
cnf(t28,plain,
( ~ well_ordering(sK2)
| ~ relation(sK2)
| connected(sK2) ),
inference(extension,[status(thm),parent(t24:3)],[f_1_6]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
relation(sK2),
inference(lemma_extension,[status(thm),parent(t28:2)],[l11:1]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
well_ordering(sK2),
inference(extension,[status(thm),parent(t28:3)],[f_4_12]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t28:3]) ).
cnf(t34,plain,
relation_isomorphism(sK2,sK3,sK4),
inference(extension,[status(thm),parent(t24:4)],[f_4_13]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t24:4]) ).
cnf(t36,plain,
function(sK4),
inference(extension,[status(thm),parent(t24:5)],[f_4_11]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t24:5]) ).
cnf(t38,plain,
relation(sK4),
inference(extension,[status(thm),parent(t24:6)],[f_4_10]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t24:6]) ).
cnf(t40,plain,
relation(sK3),
inference(lemma_extension,[status(thm),parent(t24:7)],[l2:1]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t24:7]) ).
cnf(t42,plain,
( ~ relation(sK3)
| ~ relation(sK4)
| ~ function(sK4)
| ~ relation_isomorphism(sK2,sK3,sK4)
| ~ antisymmetric(sK2)
| ~ relation(sK2)
| antisymmetric(sK3) ),
inference(extension,[status(thm),parent(t2:5)],[f_3_6]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t2:5]) ).
cnf(t44,plain,
relation(sK2),
inference(extension,[status(thm),parent(t42:2)],[f_4_8]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(l18,lemma,
relation(sK2),
inference(lemma,[status(cth),parent(t42:2),below(t2:5)],[t42:2]) ).
cnf(t46,plain,
( ~ well_ordering(sK2)
| ~ relation(sK2)
| antisymmetric(sK2) ),
inference(extension,[status(thm),parent(t42:3)],[f_1_5]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
cnf(t48,plain,
relation(sK2),
inference(lemma_extension,[status(thm),parent(t46:2)],[l18:1]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
well_ordering(sK2),
inference(extension,[status(thm),parent(t46:3)],[f_4_12]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t46:3]) ).
cnf(t52,plain,
relation_isomorphism(sK2,sK3,sK4),
inference(extension,[status(thm),parent(t42:4)],[f_4_13]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t42:4]) ).
cnf(t54,plain,
function(sK4),
inference(extension,[status(thm),parent(t42:5)],[f_4_11]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t42:5]) ).
cnf(t56,plain,
relation(sK4),
inference(extension,[status(thm),parent(t42:6)],[f_4_10]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t42:6]) ).
cnf(t58,plain,
relation(sK3),
inference(lemma_extension,[status(thm),parent(t42:7)],[l2:1]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t42:7]) ).
cnf(t60,plain,
( ~ relation(sK3)
| ~ relation(sK4)
| ~ function(sK4)
| ~ relation_isomorphism(sK2,sK3,sK4)
| ~ transitive(sK2)
| ~ relation(sK2)
| transitive(sK3) ),
inference(extension,[status(thm),parent(t2:6)],[f_3_4]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t2:6]) ).
cnf(t62,plain,
relation(sK2),
inference(extension,[status(thm),parent(t60:2)],[f_4_8]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(l25,lemma,
relation(sK2),
inference(lemma,[status(cth),parent(t60:2),below(t2:6)],[t60:2]) ).
cnf(t64,plain,
( ~ well_ordering(sK2)
| ~ relation(sK2)
| transitive(sK2) ),
inference(extension,[status(thm),parent(t60:3)],[f_1_4]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).
cnf(t66,plain,
relation(sK2),
inference(lemma_extension,[status(thm),parent(t64:2)],[l25:1]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
well_ordering(sK2),
inference(extension,[status(thm),parent(t64:3)],[f_4_12]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t64:3]) ).
cnf(t70,plain,
relation_isomorphism(sK2,sK3,sK4),
inference(extension,[status(thm),parent(t60:4)],[f_4_13]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t60:4]) ).
cnf(t72,plain,
function(sK4),
inference(extension,[status(thm),parent(t60:5)],[f_4_11]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t60:5]) ).
cnf(t74,plain,
relation(sK4),
inference(extension,[status(thm),parent(t60:6)],[f_4_10]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t60:6]) ).
cnf(t76,plain,
relation(sK3),
inference(lemma_extension,[status(thm),parent(t60:7)],[l2:1]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t60:7]) ).
cnf(t78,plain,
( ~ relation(sK3)
| ~ relation(sK4)
| ~ function(sK4)
| ~ relation_isomorphism(sK2,sK3,sK4)
| ~ reflexive(sK2)
| ~ relation(sK2)
| reflexive(sK3) ),
inference(extension,[status(thm),parent(t2:7)],[f_3_3]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t2:7]) ).
cnf(t80,plain,
relation(sK2),
inference(extension,[status(thm),parent(t78:2)],[f_4_8]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t78:2]) ).
cnf(l32,lemma,
relation(sK2),
inference(lemma,[status(cth),parent(t78:2),below(t2:7)],[t78:2]) ).
cnf(t82,plain,
( ~ well_ordering(sK2)
| ~ relation(sK2)
| reflexive(sK2) ),
inference(extension,[status(thm),parent(t78:3)],[f_1_3]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t78:3]) ).
cnf(t84,plain,
relation(sK2),
inference(lemma_extension,[status(thm),parent(t82:2)],[l32:1]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
well_ordering(sK2),
inference(extension,[status(thm),parent(t82:3)],[f_4_12]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t82:3]) ).
cnf(t88,plain,
relation_isomorphism(sK2,sK3,sK4),
inference(extension,[status(thm),parent(t78:4)],[f_4_13]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t78:4]) ).
cnf(t90,plain,
function(sK4),
inference(extension,[status(thm),parent(t78:5)],[f_4_11]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t78:5]) ).
cnf(t92,plain,
relation(sK4),
inference(extension,[status(thm),parent(t78:6)],[f_4_10]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t78:6]) ).
cnf(t94,plain,
relation(sK3),
inference(lemma_extension,[status(thm),parent(t78:7)],[l2:1]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t78:7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU261+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.09/0.80 % Computer : n016.cluster.edu
% 0.09/0.80 % Model : x86_64 x86_64
% 0.09/0.80 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.80 % Memory : 8046.5625MB
% 0.09/0.80 % OS : Linux 6.8.0-71-generic
% 0.09/0.80 % CPULimit : 300
% 0.09/0.80 % WCLimit : 300
% 0.09/0.80 % DateTime : Sat Sep 19 23:46:53 UTC 2026
% 0.09/0.80 % CPUTime :
% 0.09/0.85 % SZS status Theorem for theBenchmark
% 0.09/0.85 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------