%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN377+1 : TPTP v9.3.1. Released v2.0.0.
% 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 09:10:12 AM UTC 2026
% Result : Theorem 0.15s 5.44s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 1
% Syntax : Number of formulae : 86 ( 35 unt; 0 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 414 ( 159 ~; 147 |; 102 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-5 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 242 ( 41 sgn 130 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2128,conjecture,
( ! [X] :
( big_p(X)
<=> ! [Y] : big_p(Y) )
<=> ( ? [X] : big_p(X)
<=> ! [Y] : big_p(Y) ) ),
file('theBenchmark.p',x2128) ).
fof(f_1_1,negated_conjecture,
~ ( ! [X] :
( big_p(X)
<=> ! [Y] : big_p(Y) )
<=> ( ? [X] : big_p(X)
<=> ! [Y] : big_p(Y) ) ),
inference(negate,[status(cth)],[x2128]) ).
fof(f_1_2,negated_conjecture,
( ( ? [X] :
( ( ~ big_p(X)
& ! [Y] : big_p(Y) )
| ( ? [Y] : ~ big_p(Y)
& big_p(X) ) )
& ( ? [X] : big_p(X)
| ? [Y] : ~ big_p(Y) )
& ( ! [Y] : big_p(Y)
| ! [X] : ~ big_p(X) ) )
| ( ( ( ! [X] : ~ big_p(X)
& ! [Y] : big_p(Y) )
| ( ? [Y] : ~ big_p(Y)
& ? [X] : big_p(X) ) )
& ! [X] :
( ( big_p(X)
| ? [Y] : ~ big_p(Y) )
& ( ! [Y] : big_p(Y)
| ~ big_p(X) ) ) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ( ? [U_13] :
( ( ~ big_p(U_13)
& ! [U_12] : big_p(U_12) )
| ( ? [U_11] : ~ big_p(U_11)
& big_p(U_13) ) )
& ( ? [U_10] : big_p(U_10)
| ? [U_9] : ~ big_p(U_9) )
& ( ! [U_8] : big_p(U_8)
| ! [U_7] : ~ big_p(U_7) ) )
| ( ( ( ! [U_6] : ~ big_p(U_6)
& ! [U_5] : big_p(U_5) )
| ( ? [U_4] : ~ big_p(U_4)
& ? [U_3] : big_p(U_3) ) )
& ! [U_2] :
( ( big_p(U_2)
| ? [U_1] : ~ big_p(U_1) )
& ( ! [U_0] : big_p(U_0)
| ~ big_p(U_2) ) ) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ( ( ( ? [U_17] : ~ big_p(U_17)
& ! [U_12] : big_p(U_12) )
| ( ? [U_16] : big_p(U_16)
& ? [U_11] : ~ big_p(U_11) ) )
& ( ? [U_10] : big_p(U_10)
| ? [U_9] : ~ big_p(U_9) )
& ( ! [U_8] : big_p(U_8)
| ! [U_7] : ~ big_p(U_7) ) )
| ( ( ( ! [U_6] : ~ big_p(U_6)
& ! [U_5] : big_p(U_5) )
| ( ? [U_4] : ~ big_p(U_4)
& ? [U_3] : big_p(U_3) ) )
& ( ! [U_15] : big_p(U_15)
| ? [U_1] : ~ big_p(U_1) )
& ( ! [U_14] : ~ big_p(U_14)
| ! [U_0] : big_p(U_0) ) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ( ( ( ? [U_17] : ~ big_p(U_17)
& ! [U_12] : big_p(U_12) )
| ( ? [U_16] : big_p(U_16)
& ? [U_11] : ~ big_p(U_11) ) )
& ( ? [U_10] : big_p(U_10)
| ? [U_9] : ~ big_p(U_9) )
& ( ! [U_8] : big_p(U_8)
| ! [U_7] : ~ big_p(U_7) ) )
| ( ( ( ! [U_6] : ~ big_p(U_6)
& ! [U_5] : big_p(U_5) )
| ( ? [U_4] : ~ big_p(U_4)
& ? [U_3] : big_p(U_3) ) )
& ( ! [U_15] : big_p(U_15)
| ~ big_p(sK1) )
& ( ! [U_14] : ~ big_p(U_14)
| ! [U_0] : big_p(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_1,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ( ( ( ? [U_17] : ~ big_p(U_17)
& ! [U_12] : big_p(U_12) )
| ( ? [U_16] : big_p(U_16)
& ? [U_11] : ~ big_p(U_11) ) )
& ( ? [U_10] : big_p(U_10)
| ? [U_9] : ~ big_p(U_9) )
& ( ! [U_8] : big_p(U_8)
| ! [U_7] : ~ big_p(U_7) ) )
| ( ( ( ! [U_6] : ~ big_p(U_6)
& ! [U_5] : big_p(U_5) )
| ( ? [U_4] : ~ big_p(U_4)
& big_p(sK2) ) )
& ( ! [U_15] : big_p(U_15)
| ~ big_p(sK1) )
& ( ! [U_14] : ~ big_p(U_14)
| ! [U_0] : big_p(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_3,sK2)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ( ( ( ? [U_17] : ~ big_p(U_17)
& ! [U_12] : big_p(U_12) )
| ( ? [U_16] : big_p(U_16)
& ? [U_11] : ~ big_p(U_11) ) )
& ( ? [U_10] : big_p(U_10)
| ? [U_9] : ~ big_p(U_9) )
& ( ! [U_8] : big_p(U_8)
| ! [U_7] : ~ big_p(U_7) ) )
| ( ( ( ! [U_6] : ~ big_p(U_6)
& ! [U_5] : big_p(U_5) )
| ( ~ big_p(sK3)
& big_p(sK2) ) )
& ( ! [U_15] : big_p(U_15)
| ~ big_p(sK1) )
& ( ! [U_14] : ~ big_p(U_14)
| ! [U_0] : big_p(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_4,sK3)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ( ( ( ? [U_17] : ~ big_p(U_17)
& ! [U_12] : big_p(U_12) )
| ( ? [U_16] : big_p(U_16)
& ? [U_11] : ~ big_p(U_11) ) )
& ( ? [U_10] : big_p(U_10)
| ~ big_p(sK4) )
& ( ! [U_8] : big_p(U_8)
| ! [U_7] : ~ big_p(U_7) ) )
| ( ( ( ! [U_6] : ~ big_p(U_6)
& ! [U_5] : big_p(U_5) )
| ( ~ big_p(sK3)
& big_p(sK2) ) )
& ( ! [U_15] : big_p(U_15)
| ~ big_p(sK1) )
& ( ! [U_14] : ~ big_p(U_14)
| ! [U_0] : big_p(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_9,sK4)],[f_1_7]) ).
fof(f_1_9,negated_conjecture,
( ( ( ( ? [U_17] : ~ big_p(U_17)
& ! [U_12] : big_p(U_12) )
| ( ? [U_16] : big_p(U_16)
& ? [U_11] : ~ big_p(U_11) ) )
& ( big_p(sK5)
| ~ big_p(sK4) )
& ( ! [U_8] : big_p(U_8)
| ! [U_7] : ~ big_p(U_7) ) )
| ( ( ( ! [U_6] : ~ big_p(U_6)
& ! [U_5] : big_p(U_5) )
| ( ~ big_p(sK3)
& big_p(sK2) ) )
& ( ! [U_15] : big_p(U_15)
| ~ big_p(sK1) )
& ( ! [U_14] : ~ big_p(U_14)
| ! [U_0] : big_p(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_10,sK5)],[f_1_8]) ).
fof(f_1_10,negated_conjecture,
( ( ( ( ? [U_17] : ~ big_p(U_17)
& ! [U_12] : big_p(U_12) )
| ( ? [U_16] : big_p(U_16)
& ~ big_p(sK6) ) )
& ( big_p(sK5)
| ~ big_p(sK4) )
& ( ! [U_8] : big_p(U_8)
| ! [U_7] : ~ big_p(U_7) ) )
| ( ( ( ! [U_6] : ~ big_p(U_6)
& ! [U_5] : big_p(U_5) )
| ( ~ big_p(sK3)
& big_p(sK2) ) )
& ( ! [U_15] : big_p(U_15)
| ~ big_p(sK1) )
& ( ! [U_14] : ~ big_p(U_14)
| ! [U_0] : big_p(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_11,sK6)],[f_1_9]) ).
fof(f_1_11,negated_conjecture,
( ( ( ( ? [U_17] : ~ big_p(U_17)
& ! [U_12] : big_p(U_12) )
| ( big_p(sK7)
& ~ big_p(sK6) ) )
& ( big_p(sK5)
| ~ big_p(sK4) )
& ( ! [U_8] : big_p(U_8)
| ! [U_7] : ~ big_p(U_7) ) )
| ( ( ( ! [U_6] : ~ big_p(U_6)
& ! [U_5] : big_p(U_5) )
| ( ~ big_p(sK3)
& big_p(sK2) ) )
& ( ! [U_15] : big_p(U_15)
| ~ big_p(sK1) )
& ( ! [U_14] : ~ big_p(U_14)
| ! [U_0] : big_p(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_16,sK7)],[f_1_10]) ).
fof(f_1_12,negated_conjecture,
( ( ( ( ~ big_p(sK8)
& ! [U_12] : big_p(U_12) )
| ( big_p(sK7)
& ~ big_p(sK6) ) )
& ( big_p(sK5)
| ~ big_p(sK4) )
& ( ! [U_8] : big_p(U_8)
| ! [U_7] : ~ big_p(U_7) ) )
| ( ( ( ! [U_6] : ~ big_p(U_6)
& ! [U_5] : big_p(U_5) )
| ( ~ big_p(sK3)
& big_p(sK2) ) )
& ( ! [U_15] : big_p(U_15)
| ~ big_p(sK1) )
& ( ! [U_14] : ~ big_p(U_14)
| ! [U_0] : big_p(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_17,sK8)],[f_1_11]) ).
fof(f_1_13,negated_conjecture,
( ! [U_12] :
( ~ big_p(sK8)
| ~ sP4(U_12) )
& ! [U_12] :
( big_p(U_12)
| ~ sP4(U_12) )
& ( big_p(sK7)
| ~ sP3 )
& ( ~ big_p(sK6)
| ~ sP3 )
& ! [U_8,U_7,U_12] :
( sP4(U_12)
| sP3
| ~ sP5(U_8,U_7,U_12) )
& ! [U_8,U_7,U_12] :
( big_p(sK5)
| ~ big_p(sK4)
| ~ sP5(U_8,U_7,U_12) )
& ! [U_8,U_7,U_12] :
( big_p(U_8)
| ~ big_p(U_7)
| ~ sP5(U_8,U_7,U_12) )
& ! [U_6,U_5] :
( ~ big_p(U_6)
| ~ sP1(U_6,U_5) )
& ! [U_6,U_5] :
( big_p(U_5)
| ~ sP1(U_6,U_5) )
& ( ~ big_p(sK3)
| ~ sP0 )
& ( big_p(sK2)
| ~ sP0 )
& ! [U_6,U_5,U_0,U_15,U_14] :
( sP1(U_6,U_5)
| sP0
| ~ sP2(U_6,U_5,U_0,U_15,U_14) )
& ! [U_6,U_5,U_0,U_15,U_14] :
( big_p(U_15)
| ~ big_p(sK1)
| ~ sP2(U_6,U_5,U_0,U_15,U_14) )
& ! [U_6,U_5,U_0,U_15,U_14] :
( ~ big_p(U_14)
| big_p(U_0)
| ~ sP2(U_6,U_5,U_0,U_15,U_14) )
& ! [U_8,U_7,U_12,U_6,U_5,U_0,U_15,U_14] :
( sP5(U_8,U_7,U_12)
| sP2(U_6,U_5,U_0,U_15,U_14) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4,sP5])],[f_1_12]) ).
cnf(f_1_14,negated_conjecture,
( sP5(U_8,U_7,U_12)
| sP2(U_6,U_5,U_0,U_15,U_14) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_15,negated_conjecture,
( ~ big_p(U_14)
| big_p(U_0)
| ~ sP2(U_6,U_5,U_0,U_15,U_14) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_17,negated_conjecture,
( sP1(U_6,U_5)
| sP0
| ~ sP2(U_6,U_5,U_0,U_15,U_14) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_18,negated_conjecture,
( big_p(sK2)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_19,negated_conjecture,
( ~ big_p(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_20,negated_conjecture,
( big_p(U_5)
| ~ sP1(U_6,U_5) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_21,negated_conjecture,
( ~ big_p(U_6)
| ~ sP1(U_6,U_5) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_22,negated_conjecture,
( big_p(U_8)
| ~ big_p(U_7)
| ~ sP5(U_8,U_7,U_12) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_24,negated_conjecture,
( sP4(U_12)
| sP3
| ~ sP5(U_8,U_7,U_12) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_25,negated_conjecture,
( ~ big_p(sK6)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_26,negated_conjecture,
( big_p(sK7)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_27,negated_conjecture,
( big_p(U_12)
| ~ sP4(U_12) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_28,negated_conjecture,
( ~ big_p(sK8)
| ~ sP4(U_12) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(t1,plain,
( ~ big_p(sK3)
| ~ sP0 ),
inference(start,[status(thm),parent(0:0)],[f_1_19]) ).
cnf(t2,plain,
( sP1(U_230,U_230)
| ~ sP2(U_230,U_230,U_215,U_216,U_217)
| sP0 ),
inference(extension,[status(thm),parent(t1:1)],[f_1_17]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( sP5(sK6,sK7,sK8)
| sP2(U_230,U_230,U_215,U_216,U_217) ),
inference(extension,[status(thm),parent(t2:2)],[f_1_14]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( sP3
| sP4(sK8)
| ~ sP5(sK6,sK7,sK8) ),
inference(extension,[status(thm),parent(t4:2)],[f_1_24]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ big_p(sK8)
| ~ sP4(sK8) ),
inference(extension,[status(thm),parent(t6:2)],[f_1_28]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ sP4(sK8)
| big_p(sK8) ),
inference(extension,[status(thm),parent(t8:2)],[f_1_27]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
$false,
inference(reduction,[status(thm),parent(t10:2)],[t10:2,t6:2]) ).
cnf(t13,plain,
( big_p(sK7)
| ~ sP3 ),
inference(extension,[status(thm),parent(t6:3)],[f_1_26]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t6:3]) ).
cnf(t15,plain,
( big_p(sK6)
| ~ sP5(sK6,sK7,sK8)
| ~ big_p(sK7) ),
inference(extension,[status(thm),parent(t13:2)],[f_1_22]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t13:2]) ).
cnf(t17,plain,
$false,
inference(reduction,[status(thm),parent(t15:2)],[t15:2,t4:2]) ).
cnf(t18,plain,
( ~ sP3
| ~ big_p(sK6) ),
inference(extension,[status(thm),parent(t15:3)],[f_1_25]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t15:3]) ).
cnf(t20,plain,
$false,
inference(reduction,[status(thm),parent(t18:2)],[t18:2,t6:3]) ).
cnf(t21,plain,
( ~ big_p(U_230)
| ~ sP1(U_230,U_230) ),
inference(extension,[status(thm),parent(t2:3)],[f_1_21]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t2:3]) ).
cnf(t23,plain,
( ~ sP1(U_230,U_230)
| big_p(U_230) ),
inference(extension,[status(thm),parent(t21:2)],[f_1_20]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t21:2]) ).
cnf(t25,plain,
$false,
inference(reduction,[status(thm),parent(t23:2)],[t23:2,t2:3]) ).
cnf(l1,lemma,
sP0,
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t26,plain,
( ~ big_p(sK7)
| ~ sP5(sK3,sK7,U_243)
| big_p(sK3) ),
inference(extension,[status(thm),parent(t1:2)],[f_1_22]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t1:2]) ).
cnf(t28,plain,
( sP2(U_250,U_250,sK3,U_247,sK2)
| sP5(sK3,sK7,U_243) ),
inference(extension,[status(thm),parent(t26:2)],[f_1_14]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( sP0
| sP1(U_250,U_250)
| ~ sP2(U_250,U_250,sK3,U_247,sK2) ),
inference(extension,[status(thm),parent(t28:2)],[f_1_17]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( ~ big_p(U_250)
| ~ sP1(U_250,U_250) ),
inference(extension,[status(thm),parent(t30:2)],[f_1_21]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ sP1(U_250,U_250)
| big_p(U_250) ),
inference(extension,[status(thm),parent(t32:2)],[f_1_20]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
$false,
inference(reduction,[status(thm),parent(t34:2)],[t34:2,t30:2]) ).
cnf(t37,plain,
( big_p(sK2)
| ~ sP0 ),
inference(extension,[status(thm),parent(t30:3)],[f_1_18]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t30:3]) ).
cnf(t39,plain,
( big_p(sK3)
| ~ sP2(U_250,U_250,sK3,U_247,sK2)
| ~ big_p(sK2) ),
inference(extension,[status(thm),parent(t37:2)],[f_1_15]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t37:2]) ).
cnf(t41,plain,
$false,
inference(reduction,[status(thm),parent(t39:2)],[t39:2,t28:2]) ).
cnf(t42,plain,
$false,
inference(reduction,[status(thm),parent(t39:3)],[t39:3,t1:2]) ).
cnf(t43,plain,
( ~ sP4(sK7)
| big_p(sK7) ),
inference(extension,[status(thm),parent(t26:3)],[f_1_27]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t26:3]) ).
cnf(t45,plain,
( sP3
| ~ sP5(U_267,U_268,sK7)
| sP4(sK7) ),
inference(extension,[status(thm),parent(t43:2)],[f_1_24]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t43:2]) ).
cnf(t47,plain,
( sP2(U_270,U_271,sK7,U_273,sK2)
| sP5(U_267,U_268,sK7) ),
inference(extension,[status(thm),parent(t45:2)],[f_1_14]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t45:2]) ).
cnf(t49,plain,
( big_p(sK7)
| ~ big_p(sK2)
| ~ sP2(U_270,U_271,sK7,U_273,sK2) ),
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,
( ~ sP0
| big_p(sK2) ),
inference(extension,[status(thm),parent(t49:2)],[f_1_18]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t49:2]) ).
cnf(t53,plain,
sP0,
inference(lemma_extension,[status(thm),parent(t51:2)],[l1:1]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t51:2]) ).
cnf(t55,plain,
$false,
inference(reduction,[status(thm),parent(t49:3)],[t49:3,t26:3]) ).
cnf(t56,plain,
( big_p(sK7)
| ~ sP3 ),
inference(extension,[status(thm),parent(t45:3)],[f_1_26]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t45:3]) ).
cnf(t58,plain,
$false,
inference(reduction,[status(thm),parent(t56:2)],[t56:2,t26:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN377+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.12/5.39 % Computer : n011.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sun Sep 20 06:30:00 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.15/5.44 % SZS status Theorem for theBenchmark
% 0.15/5.44 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------