%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET788+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n005.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 08:57:26 AM UTC 2026
% Result : Theorem 0.13s 5.49s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 85 ( 35 unt; 0 def)
% Number of atoms : 285 ( 0 equ)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 330 ( 130 ~; 117 |; 76 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 137 ( 12 sgn 80 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ! [X,Y] :
( equalish(X,Y)
<=> ! [Z] :
( a_member_of(Z,X)
<=> a_member_of(Z,Y) ) )
=> ! [X,Y] :
( equalish(X,Y)
<=> equalish(Y,X) ) ),
file('theBenchmark.p',prove_this) ).
fof(f_1_1,negated_conjecture,
( ~ ! [X,Y] :
( equalish(X,Y)
<=> equalish(Y,X) )
& ! [X,Y] :
( equalish(X,Y)
<=> ! [Z] :
( a_member_of(Z,X)
<=> a_member_of(Z,Y) ) ) ),
inference(negate,[status(cth)],[prove_this]) ).
fof(f_1_2,negated_conjecture,
( ? [X,Y] :
( ( ~ equalish(X,Y)
& equalish(Y,X) )
| ( ~ equalish(Y,X)
& equalish(X,Y) ) )
& ! [X,Y] :
( ( equalish(X,Y)
| ? [Z] :
( ( ~ a_member_of(Z,X)
& a_member_of(Z,Y) )
| ( ~ a_member_of(Z,Y)
& a_member_of(Z,X) ) ) )
& ( ! [Z] :
( ( a_member_of(Z,X)
| ~ a_member_of(Z,Y) )
& ( a_member_of(Z,Y)
| ~ a_member_of(Z,X) ) )
| ~ equalish(X,Y) ) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ? [U_5,U_4] :
( ( ~ equalish(U_5,U_4)
& equalish(U_4,U_5) )
| ( ~ equalish(U_4,U_5)
& equalish(U_5,U_4) ) )
& ! [U_3,U_2] :
( ( equalish(U_3,U_2)
| ? [U_1] :
( ( ~ a_member_of(U_1,U_3)
& a_member_of(U_1,U_2) )
| ( ~ a_member_of(U_1,U_2)
& a_member_of(U_1,U_3) ) ) )
& ( ! [U_0] :
( ( a_member_of(U_0,U_3)
| ~ a_member_of(U_0,U_2) )
& ( a_member_of(U_0,U_2)
| ~ a_member_of(U_0,U_3) ) )
| ~ equalish(U_3,U_2) ) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ( ? [U_17,U_15] :
( ~ equalish(U_17,U_15)
& equalish(U_15,U_17) )
| ? [U_16,U_14] :
( ~ equalish(U_14,U_16)
& equalish(U_16,U_14) ) )
& ! [U_13,U_11] :
( equalish(U_13,U_11)
| ? [U_9] :
( ~ a_member_of(U_9,U_13)
& a_member_of(U_9,U_11) )
| ? [U_8] :
( ~ a_member_of(U_8,U_11)
& a_member_of(U_8,U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ equalish(U_12,U_10) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ( ? [U_17,U_15] :
( ~ equalish(U_17,U_15)
& equalish(U_15,U_17) )
| ? [U_16,U_14] :
( ~ equalish(U_14,U_16)
& equalish(U_16,U_14) ) )
& ! [U_13,U_11] :
( equalish(U_13,U_11)
| ? [U_9] :
( ~ a_member_of(U_9,U_13)
& a_member_of(U_9,U_11) )
| ( ~ a_member_of(sK1(U_13,U_11),U_11)
& a_member_of(sK1(U_13,U_11),U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ equalish(U_12,U_10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_8,sK1(U_13,U_11))],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ( ? [U_17,U_15] :
( ~ equalish(U_17,U_15)
& equalish(U_15,U_17) )
| ? [U_16,U_14] :
( ~ equalish(U_14,U_16)
& equalish(U_16,U_14) ) )
& ! [U_13,U_11] :
( equalish(U_13,U_11)
| ( ~ a_member_of(sK2(U_13,U_11),U_13)
& a_member_of(sK2(U_13,U_11),U_11) )
| ( ~ a_member_of(sK1(U_13,U_11),U_11)
& a_member_of(sK1(U_13,U_11),U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ equalish(U_12,U_10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_9,sK2(U_13,U_11))],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ( ? [U_17,U_15] :
( ~ equalish(U_17,U_15)
& equalish(U_15,U_17) )
| ? [U_14] :
( ~ equalish(U_14,sK3)
& equalish(sK3,U_14) ) )
& ! [U_13,U_11] :
( equalish(U_13,U_11)
| ( ~ a_member_of(sK2(U_13,U_11),U_13)
& a_member_of(sK2(U_13,U_11),U_11) )
| ( ~ a_member_of(sK1(U_13,U_11),U_11)
& a_member_of(sK1(U_13,U_11),U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ equalish(U_12,U_10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_16,sK3)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ( ? [U_17,U_15] :
( ~ equalish(U_17,U_15)
& equalish(U_15,U_17) )
| ( ~ equalish(sK4,sK3)
& equalish(sK3,sK4) ) )
& ! [U_13,U_11] :
( equalish(U_13,U_11)
| ( ~ a_member_of(sK2(U_13,U_11),U_13)
& a_member_of(sK2(U_13,U_11),U_11) )
| ( ~ a_member_of(sK1(U_13,U_11),U_11)
& a_member_of(sK1(U_13,U_11),U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ equalish(U_12,U_10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_14,sK4)],[f_1_7]) ).
fof(f_1_9,negated_conjecture,
( ( ? [U_15] :
( ~ equalish(sK5,U_15)
& equalish(U_15,sK5) )
| ( ~ equalish(sK4,sK3)
& equalish(sK3,sK4) ) )
& ! [U_13,U_11] :
( equalish(U_13,U_11)
| ( ~ a_member_of(sK2(U_13,U_11),U_13)
& a_member_of(sK2(U_13,U_11),U_11) )
| ( ~ a_member_of(sK1(U_13,U_11),U_11)
& a_member_of(sK1(U_13,U_11),U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ equalish(U_12,U_10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_17,sK5)],[f_1_8]) ).
fof(f_1_10,negated_conjecture,
( ( ( ~ equalish(sK5,sK6)
& equalish(sK6,sK5) )
| ( ~ equalish(sK4,sK3)
& equalish(sK3,sK4) ) )
& ! [U_13,U_11] :
( equalish(U_13,U_11)
| ( ~ a_member_of(sK2(U_13,U_11),U_13)
& a_member_of(sK2(U_13,U_11),U_11) )
| ( ~ a_member_of(sK1(U_13,U_11),U_11)
& a_member_of(sK1(U_13,U_11),U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ equalish(U_12,U_10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_15,sK6)],[f_1_9]) ).
fof(f_1_11,negated_conjecture,
( ( ~ equalish(sK5,sK6)
| ~ sP4 )
& ( equalish(sK6,sK5)
| ~ sP4 )
& ( ~ equalish(sK4,sK3)
| ~ sP3 )
& ( equalish(sK3,sK4)
| ~ sP3 )
& ! [U_11,U_13] :
( ~ a_member_of(sK2(U_13,U_11),U_13)
| ~ sP2(U_11,U_13) )
& ! [U_11,U_13] :
( a_member_of(sK2(U_13,U_11),U_11)
| ~ sP2(U_11,U_13) )
& ! [U_11,U_13] :
( ~ a_member_of(sK1(U_13,U_11),U_11)
| ~ sP1(U_11,U_13) )
& ! [U_11,U_13] :
( a_member_of(sK1(U_13,U_11),U_13)
| ~ sP1(U_11,U_13) )
& ! [U_6,U_7,U_12,U_10] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10)
| ~ sP0(U_6,U_7,U_12,U_10) )
& ! [U_6,U_7,U_12,U_10] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12)
| ~ sP0(U_6,U_7,U_12,U_10) )
& ( sP4
| sP3 )
& ! [U_11,U_13] :
( equalish(U_13,U_11)
| sP2(U_11,U_13)
| sP1(U_11,U_13) )
& ! [U_6,U_7,U_12,U_10] :
( sP0(U_6,U_7,U_12,U_10)
| ~ equalish(U_12,U_10) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4])],[f_1_10]) ).
cnf(f_1_12,negated_conjecture,
( sP0(U_6,U_7,U_12,U_10)
| ~ equalish(U_12,U_10) ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_13,negated_conjecture,
( equalish(U_13,U_11)
| sP2(U_11,U_13)
| sP1(U_11,U_13) ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_14,negated_conjecture,
( sP4
| sP3 ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_15,negated_conjecture,
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12)
| ~ sP0(U_6,U_7,U_12,U_10) ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_16,negated_conjecture,
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10)
| ~ sP0(U_6,U_7,U_12,U_10) ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_17,negated_conjecture,
( a_member_of(sK1(U_13,U_11),U_13)
| ~ sP1(U_11,U_13) ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_18,negated_conjecture,
( ~ a_member_of(sK1(U_13,U_11),U_11)
| ~ sP1(U_11,U_13) ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_19,negated_conjecture,
( a_member_of(sK2(U_13,U_11),U_11)
| ~ sP2(U_11,U_13) ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_20,negated_conjecture,
( ~ a_member_of(sK2(U_13,U_11),U_13)
| ~ sP2(U_11,U_13) ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_21,negated_conjecture,
( equalish(sK3,sK4)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_22,negated_conjecture,
( ~ equalish(sK4,sK3)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_23,negated_conjecture,
( equalish(sK6,sK5)
| ~ sP4 ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_24,negated_conjecture,
( ~ equalish(sK5,sK6)
| ~ sP4 ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(t1,plain,
( ~ equalish(sK4,sK3)
| ~ sP3 ),
inference(start,[status(thm),parent(0:0)],[f_1_22]) ).
cnf(t2,plain,
( sP4
| sP3 ),
inference(extension,[status(thm),parent(t1:1)],[f_1_14]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ equalish(sK5,sK6)
| ~ sP4 ),
inference(extension,[status(thm),parent(t2:2)],[f_1_24]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( sP2(sK6,sK5)
| sP1(sK6,sK5)
| equalish(sK5,sK6) ),
inference(extension,[status(thm),parent(t4:2)],[f_1_13]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ a_member_of(sK1(sK5,sK6),sK6)
| ~ sP1(sK6,sK5) ),
inference(extension,[status(thm),parent(t6:2)],[f_1_18]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ a_member_of(sK1(sK5,sK6),sK5)
| ~ sP0(U_138,sK1(sK5,sK6),sK6,sK5)
| a_member_of(sK1(sK5,sK6),sK6) ),
inference(extension,[status(thm),parent(t8:2)],[f_1_16]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ equalish(sK6,sK5)
| sP0(U_138,sK1(sK5,sK6),sK6,sK5) ),
inference(extension,[status(thm),parent(t10:2)],[f_1_12]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ sP4
| equalish(sK6,sK5) ),
inference(extension,[status(thm),parent(t12:2)],[f_1_23]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
$false,
inference(reduction,[status(thm),parent(t14:2)],[t14:2,t2:2]) ).
cnf(t17,plain,
( ~ sP1(sK6,sK5)
| a_member_of(sK1(sK5,sK6),sK5) ),
inference(extension,[status(thm),parent(t10:3)],[f_1_17]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t10:3]) ).
cnf(t19,plain,
$false,
inference(reduction,[status(thm),parent(t17:2)],[t17:2,t6:2]) ).
cnf(t20,plain,
( ~ a_member_of(sK2(sK5,sK6),sK5)
| ~ sP2(sK6,sK5) ),
inference(extension,[status(thm),parent(t6:3)],[f_1_20]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t6:3]) ).
cnf(t22,plain,
( ~ a_member_of(sK2(sK5,sK6),sK6)
| ~ sP0(sK2(sK5,sK6),U_151,sK6,sK5)
| a_member_of(sK2(sK5,sK6),sK5) ),
inference(extension,[status(thm),parent(t20:2)],[f_1_15]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ equalish(sK6,sK5)
| sP0(sK2(sK5,sK6),U_151,sK6,sK5) ),
inference(extension,[status(thm),parent(t22:2)],[f_1_12]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( ~ sP4
| equalish(sK6,sK5) ),
inference(extension,[status(thm),parent(t24:2)],[f_1_23]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
$false,
inference(reduction,[status(thm),parent(t26:2)],[t26:2,t2:2]) ).
cnf(t29,plain,
( ~ sP2(sK6,sK5)
| a_member_of(sK2(sK5,sK6),sK6) ),
inference(extension,[status(thm),parent(t22:3)],[f_1_19]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t22:3]) ).
cnf(t31,plain,
$false,
inference(reduction,[status(thm),parent(t29:2)],[t29:2,t6:3]) ).
cnf(l1,lemma,
sP3,
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t32,plain,
( sP2(sK3,sK4)
| sP1(sK3,sK4)
| equalish(sK4,sK3) ),
inference(extension,[status(thm),parent(t1:2)],[f_1_13]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t1:2]) ).
cnf(t34,plain,
( ~ a_member_of(sK1(sK4,sK3),sK3)
| ~ sP1(sK3,sK4) ),
inference(extension,[status(thm),parent(t32:2)],[f_1_18]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
( ~ a_member_of(sK1(sK4,sK3),sK4)
| ~ sP0(U_164,sK1(sK4,sK3),sK3,sK4)
| a_member_of(sK1(sK4,sK3),sK3) ),
inference(extension,[status(thm),parent(t34:2)],[f_1_16]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
( ~ equalish(sK3,sK4)
| sP0(U_164,sK1(sK4,sK3),sK3,sK4) ),
inference(extension,[status(thm),parent(t36:2)],[f_1_12]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
( ~ sP3
| equalish(sK3,sK4) ),
inference(extension,[status(thm),parent(t38:2)],[f_1_21]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
sP3,
inference(lemma_extension,[status(thm),parent(t40:2)],[l1:1]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
( ~ sP1(sK3,sK4)
| a_member_of(sK1(sK4,sK3),sK4) ),
inference(extension,[status(thm),parent(t36:3)],[f_1_17]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t36:3]) ).
cnf(t46,plain,
$false,
inference(reduction,[status(thm),parent(t44:2)],[t44:2,t32:2]) ).
cnf(t47,plain,
( ~ a_member_of(sK2(sK4,sK3),sK4)
| ~ sP2(sK3,sK4) ),
inference(extension,[status(thm),parent(t32:3)],[f_1_20]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t32:3]) ).
cnf(t49,plain,
( ~ a_member_of(sK2(sK4,sK3),sK3)
| ~ sP0(sK2(sK4,sK3),U_177,sK3,sK4)
| a_member_of(sK2(sK4,sK3),sK4) ),
inference(extension,[status(thm),parent(t47:2)],[f_1_15]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t47:2]) ).
cnf(t51,plain,
( ~ equalish(sK3,sK4)
| sP0(sK2(sK4,sK3),U_177,sK3,sK4) ),
inference(extension,[status(thm),parent(t49:2)],[f_1_12]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t49:2]) ).
cnf(t53,plain,
( ~ sP3
| equalish(sK3,sK4) ),
inference(extension,[status(thm),parent(t51:2)],[f_1_21]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t51:2]) ).
cnf(t55,plain,
sP3,
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,
( ~ sP2(sK3,sK4)
| a_member_of(sK2(sK4,sK3),sK3) ),
inference(extension,[status(thm),parent(t49:3)],[f_1_19]) ).
cnf(t58,plain,
$false,
inference(connection,[status(thm),parent(t57:1)],[t57:1,t49:3]) ).
cnf(t59,plain,
$false,
inference(reduction,[status(thm),parent(t57:2)],[t57:2,t32:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET788+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.09/5.37 % Computer : n005.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 22:57:56 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.13/5.49 % SZS status Theorem for theBenchmark
% 0.13/5.49 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------