%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN374+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 : n020.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 0.67s 0.95s
% Output : Proof 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 108 ( 48 unt; 0 def)
% Number of atoms : 365 ( 0 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 422 ( 165 ~; 157 |; 94 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 2 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 236 ( 55 sgn 108 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2125,conjecture,
( ? [X] :
! [Y] :
( big_p(X)
<=> big_p(Y) )
<=> ( ? [X] : big_p(X)
<=> ! [Y] : big_p(Y) ) ),
file('theBenchmark.p',x2125) ).
fof(f_1_1,negated_conjecture,
~ ( ? [X] :
! [Y] :
( big_p(X)
<=> big_p(Y) )
<=> ( ? [X] : big_p(X)
<=> ! [Y] : big_p(Y) ) ),
inference(negate,[status(cth)],[x2125]) ).
fof(f_1_2,negated_conjecture,
( ( ! [X] :
? [Y] :
( ( ~ big_p(X)
& big_p(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] :
! [Y] :
( ( big_p(X)
| ~ big_p(Y) )
& ( big_p(Y)
| ~ big_p(X) ) ) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ( ! [U_11] :
? [U_10] :
( ( ~ big_p(U_11)
& big_p(U_10) )
| ( ~ big_p(U_10)
& big_p(U_11) ) )
& ( ? [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] :
! [U_0] :
( ( big_p(U_1)
| ~ big_p(U_0) )
& ( big_p(U_0)
| ~ big_p(U_1) ) ) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ( ! [U_11] :
( ( ? [U_15] : big_p(U_15)
& ~ big_p(U_11) )
| ( ? [U_14] : ~ big_p(U_14)
& big_p(U_11) ) )
& ( ? [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] :
( ( ! [U_13] : ~ big_p(U_13)
| big_p(U_1) )
& ( ! [U_12] : big_p(U_12)
| ~ big_p(U_1) ) ) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ( ! [U_11] :
( ( ? [U_15] : big_p(U_15)
& ~ big_p(U_11) )
| ( ? [U_14] : ~ big_p(U_14)
& big_p(U_11) ) )
& ( ? [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_13] : ~ big_p(U_13)
| big_p(sK1) )
& ( ! [U_12] : big_p(U_12)
| ~ big_p(sK1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_1,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ( ! [U_11] :
( ( ? [U_15] : big_p(U_15)
& ~ big_p(U_11) )
| ( ? [U_14] : ~ big_p(U_14)
& big_p(U_11) ) )
& ( ? [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)
& big_p(sK2) ) )
& ( ! [U_13] : ~ big_p(U_13)
| big_p(sK1) )
& ( ! [U_12] : big_p(U_12)
| ~ big_p(sK1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_2,sK2)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ( ! [U_11] :
( ( ? [U_15] : big_p(U_15)
& ~ big_p(U_11) )
| ( ? [U_14] : ~ big_p(U_14)
& big_p(U_11) ) )
& ( ? [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(sK3)
& big_p(sK2) ) )
& ( ! [U_13] : ~ big_p(U_13)
| big_p(sK1) )
& ( ! [U_12] : big_p(U_12)
| ~ big_p(sK1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_3,sK3)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ( ! [U_11] :
( ( ? [U_15] : big_p(U_15)
& ~ big_p(U_11) )
| ( ? [U_14] : ~ big_p(U_14)
& big_p(U_11) ) )
& ( ? [U_9] : big_p(U_9)
| ~ big_p(sK4) )
& ( ! [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(sK3)
& big_p(sK2) ) )
& ( ! [U_13] : ~ big_p(U_13)
| big_p(sK1) )
& ( ! [U_12] : big_p(U_12)
| ~ big_p(sK1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_8,sK4)],[f_1_7]) ).
fof(f_1_9,negated_conjecture,
( ( ! [U_11] :
( ( ? [U_15] : big_p(U_15)
& ~ big_p(U_11) )
| ( ? [U_14] : ~ big_p(U_14)
& big_p(U_11) ) )
& ( big_p(sK5)
| ~ big_p(sK4) )
& ( ! [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(sK3)
& big_p(sK2) ) )
& ( ! [U_13] : ~ big_p(U_13)
| big_p(sK1) )
& ( ! [U_12] : big_p(U_12)
| ~ big_p(sK1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_9,sK5)],[f_1_8]) ).
fof(f_1_10,negated_conjecture,
( ( ! [U_11] :
( ( ? [U_15] : big_p(U_15)
& ~ big_p(U_11) )
| ( ~ big_p(sK6(U_11))
& big_p(U_11) ) )
& ( big_p(sK5)
| ~ big_p(sK4) )
& ( ! [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(sK3)
& big_p(sK2) ) )
& ( ! [U_13] : ~ big_p(U_13)
| big_p(sK1) )
& ( ! [U_12] : big_p(U_12)
| ~ big_p(sK1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_14,sK6(U_11))],[f_1_9]) ).
fof(f_1_11,negated_conjecture,
( ( ! [U_11] :
( ( big_p(sK7(U_11))
& ~ big_p(U_11) )
| ( ~ big_p(sK6(U_11))
& big_p(U_11) ) )
& ( big_p(sK5)
| ~ big_p(sK4) )
& ( ! [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(sK3)
& big_p(sK2) ) )
& ( ! [U_13] : ~ big_p(U_13)
| big_p(sK1) )
& ( ! [U_12] : big_p(U_12)
| ~ big_p(sK1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_15,sK7(U_11))],[f_1_10]) ).
fof(f_1_12,negated_conjecture,
( ! [U_11] :
( big_p(sK7(U_11))
| ~ sP4(U_11) )
& ! [U_11] :
( ~ big_p(U_11)
| ~ sP4(U_11) )
& ! [U_11] :
( ~ big_p(sK6(U_11))
| ~ sP3(U_11) )
& ! [U_11] :
( big_p(U_11)
| ~ sP3(U_11) )
& ! [U_7,U_6,U_11] :
( sP4(U_11)
| sP3(U_11)
| ~ sP5(U_7,U_6,U_11) )
& ! [U_7,U_6,U_11] :
( big_p(sK5)
| ~ big_p(sK4)
| ~ sP5(U_7,U_6,U_11) )
& ! [U_7,U_6,U_11] :
( big_p(U_7)
| ~ big_p(U_6)
| ~ sP5(U_7,U_6,U_11) )
& ! [U_5,U_4] :
( ~ big_p(U_5)
| ~ sP1(U_5,U_4) )
& ! [U_5,U_4] :
( big_p(U_4)
| ~ sP1(U_5,U_4) )
& ( ~ big_p(sK3)
| ~ sP0 )
& ( big_p(sK2)
| ~ sP0 )
& ! [U_12,U_5,U_4,U_13] :
( sP1(U_5,U_4)
| sP0
| ~ sP2(U_12,U_5,U_4,U_13) )
& ! [U_12,U_5,U_4,U_13] :
( ~ big_p(U_13)
| big_p(sK1)
| ~ sP2(U_12,U_5,U_4,U_13) )
& ! [U_12,U_5,U_4,U_13] :
( big_p(U_12)
| ~ big_p(sK1)
| ~ sP2(U_12,U_5,U_4,U_13) )
& ! [U_7,U_6,U_12,U_11,U_5,U_4,U_13] :
( sP5(U_7,U_6,U_11)
| sP2(U_12,U_5,U_4,U_13) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4,sP5])],[f_1_11]) ).
cnf(f_1_13,negated_conjecture,
( sP5(U_7,U_6,U_11)
| sP2(U_12,U_5,U_4,U_13) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_14,negated_conjecture,
( big_p(U_12)
| ~ big_p(sK1)
| ~ sP2(U_12,U_5,U_4,U_13) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_15,negated_conjecture,
( ~ big_p(U_13)
| big_p(sK1)
| ~ sP2(U_12,U_5,U_4,U_13) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_16,negated_conjecture,
( sP1(U_5,U_4)
| sP0
| ~ sP2(U_12,U_5,U_4,U_13) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_17,negated_conjecture,
( big_p(sK2)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_18,negated_conjecture,
( ~ big_p(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_19,negated_conjecture,
( big_p(U_4)
| ~ sP1(U_5,U_4) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_20,negated_conjecture,
( ~ big_p(U_5)
| ~ sP1(U_5,U_4) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_21,negated_conjecture,
( big_p(U_7)
| ~ big_p(U_6)
| ~ sP5(U_7,U_6,U_11) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_22,negated_conjecture,
( big_p(sK5)
| ~ big_p(sK4)
| ~ sP5(U_7,U_6,U_11) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_23,negated_conjecture,
( sP4(U_11)
| sP3(U_11)
| ~ sP5(U_7,U_6,U_11) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_24,negated_conjecture,
( big_p(U_11)
| ~ sP3(U_11) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_25,negated_conjecture,
( ~ big_p(sK6(U_11))
| ~ sP3(U_11) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_26,negated_conjecture,
( ~ big_p(U_11)
| ~ sP4(U_11) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(f_1_27,negated_conjecture,
( big_p(sK7(U_11))
| ~ sP4(U_11) ),
inference(clausify,[status(thm)],[f_1_12]) ).
cnf(t1,plain,
( ~ big_p(sK3)
| ~ sP0 ),
inference(start,[status(thm),parent(0:0)],[f_1_18]) ).
cnf(t2,plain,
( sP1(sK5,sK4)
| ~ sP2(U_228,sK5,sK4,U_231)
| sP0 ),
inference(extension,[status(thm),parent(t1:1)],[f_1_16]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( sP5(U_243,sK7(U_243),U_243)
| sP2(U_228,sK5,sK4,U_231) ),
inference(extension,[status(thm),parent(t2:2)],[f_1_13]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( sP3(U_243)
| sP4(U_243)
| ~ sP5(U_243,sK7(U_243),U_243) ),
inference(extension,[status(thm),parent(t4:2)],[f_1_23]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( big_p(sK7(U_243))
| ~ sP4(U_243) ),
inference(extension,[status(thm),parent(t6:2)],[f_1_27]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( big_p(U_243)
| ~ sP5(U_243,sK7(U_243),U_243)
| ~ big_p(sK7(U_243)) ),
inference(extension,[status(thm),parent(t8:2)],[f_1_21]) ).
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,t4:2]) ).
cnf(t13,plain,
( ~ sP4(U_243)
| ~ big_p(U_243) ),
inference(extension,[status(thm),parent(t10:3)],[f_1_26]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t10:3]) ).
cnf(t15,plain,
$false,
inference(reduction,[status(thm),parent(t13:2)],[t13:2,t6:2]) ).
cnf(t16,plain,
( ~ big_p(sK6(U_243))
| ~ sP3(U_243) ),
inference(extension,[status(thm),parent(t6:3)],[f_1_25]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:3]) ).
cnf(t18,plain,
( ~ big_p(U_243)
| ~ sP5(sK6(U_243),U_243,U_253)
| big_p(sK6(U_243)) ),
inference(extension,[status(thm),parent(t16:2)],[f_1_21]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( sP2(U_228,sK5,sK4,U_231)
| sP5(sK6(U_243),U_243,U_253) ),
inference(extension,[status(thm),parent(t18:2)],[f_1_13]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
$false,
inference(reduction,[status(thm),parent(t20:2)],[t20:2,t2:2]) ).
cnf(t23,plain,
( ~ sP3(U_243)
| big_p(U_243) ),
inference(extension,[status(thm),parent(t18:3)],[f_1_24]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t18:3]) ).
cnf(t25,plain,
$false,
inference(reduction,[status(thm),parent(t23:2)],[t23:2,t6:3]) ).
cnf(t26,plain,
( ~ big_p(sK5)
| ~ sP1(sK5,sK4) ),
inference(extension,[status(thm),parent(t2:3)],[f_1_20]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:3]) ).
cnf(t28,plain,
( ~ big_p(sK4)
| ~ sP5(U_264,U_265,U_266)
| big_p(sK5) ),
inference(extension,[status(thm),parent(t26:2)],[f_1_22]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( sP2(U_267,U_271,sK5,U_270)
| sP5(U_264,U_265,U_266) ),
inference(extension,[status(thm),parent(t28:2)],[f_1_13]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( sP0
| sP1(U_271,sK5)
| ~ sP2(U_267,U_271,sK5,U_270) ),
inference(extension,[status(thm),parent(t30:2)],[f_1_16]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( big_p(sK5)
| ~ sP1(U_271,sK5) ),
inference(extension,[status(thm),parent(t32:2)],[f_1_19]) ).
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,t26:2]) ).
cnf(t37,plain,
$false,
inference(reduction,[status(thm),parent(t32:3)],[t32:3,t1:1]) ).
cnf(t38,plain,
( ~ sP1(sK5,sK4)
| big_p(sK4) ),
inference(extension,[status(thm),parent(t28:3)],[f_1_19]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t28:3]) ).
cnf(t40,plain,
$false,
inference(reduction,[status(thm),parent(t38:2)],[t38:2,t2:3]) ).
cnf(l1,lemma,
sP0,
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t41,plain,
( ~ big_p(sK7(sK3))
| ~ sP5(sK3,sK7(sK3),U_284)
| big_p(sK3) ),
inference(extension,[status(thm),parent(t1:2)],[f_1_21]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t1:2]) ).
cnf(t43,plain,
( sP2(sK3,U_290,U_290,sK2)
| sP5(sK3,sK7(sK3),U_284) ),
inference(extension,[status(thm),parent(t41:2)],[f_1_13]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t41:2]) ).
cnf(t45,plain,
( sP0
| sP1(U_290,U_290)
| ~ sP2(sK3,U_290,U_290,sK2) ),
inference(extension,[status(thm),parent(t43:2)],[f_1_16]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t43:2]) ).
cnf(t47,plain,
( ~ big_p(U_290)
| ~ sP1(U_290,U_290) ),
inference(extension,[status(thm),parent(t45:2)],[f_1_20]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t45:2]) ).
cnf(t49,plain,
( ~ sP1(U_290,U_290)
| big_p(U_290) ),
inference(extension,[status(thm),parent(t47:2)],[f_1_19]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t47:2]) ).
cnf(t51,plain,
$false,
inference(reduction,[status(thm),parent(t49:2)],[t49:2,t45:2]) ).
cnf(t52,plain,
( big_p(sK2)
| ~ sP0 ),
inference(extension,[status(thm),parent(t45:3)],[f_1_17]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t45:3]) ).
cnf(t54,plain,
( big_p(sK1)
| ~ sP2(sK3,U_290,U_290,sK2)
| ~ big_p(sK2) ),
inference(extension,[status(thm),parent(t52:2)],[f_1_15]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
$false,
inference(reduction,[status(thm),parent(t54:2)],[t54:2,t43:2]) ).
cnf(t57,plain,
( big_p(sK3)
| ~ sP2(sK3,U_290,U_290,sK2)
| ~ big_p(sK1) ),
inference(extension,[status(thm),parent(t54:3)],[f_1_14]) ).
cnf(t58,plain,
$false,
inference(connection,[status(thm),parent(t57:1)],[t57:1,t54:3]) ).
cnf(t59,plain,
$false,
inference(reduction,[status(thm),parent(t57:2)],[t57:2,t43:2]) ).
cnf(t60,plain,
$false,
inference(reduction,[status(thm),parent(t57:3)],[t57:3,t1:2]) ).
cnf(t61,plain,
( ~ sP4(sK3)
| big_p(sK7(sK3)) ),
inference(extension,[status(thm),parent(t41:3)],[f_1_27]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t41:3]) ).
cnf(t63,plain,
( sP3(sK3)
| ~ sP5(U_309,U_310,sK3)
| sP4(sK3) ),
inference(extension,[status(thm),parent(t61:2)],[f_1_23]) ).
cnf(t64,plain,
$false,
inference(connection,[status(thm),parent(t63:1)],[t63:1,t61:2]) ).
cnf(t65,plain,
( sP2(sK7(sK3),U_313,U_314,sK2)
| sP5(U_309,U_310,sK3) ),
inference(extension,[status(thm),parent(t63:2)],[f_1_13]) ).
cnf(t66,plain,
$false,
inference(connection,[status(thm),parent(t65:1)],[t65:1,t63:2]) ).
cnf(t67,plain,
( big_p(sK1)
| ~ big_p(sK2)
| ~ sP2(sK7(sK3),U_313,U_314,sK2) ),
inference(extension,[status(thm),parent(t65:2)],[f_1_15]) ).
cnf(t68,plain,
$false,
inference(connection,[status(thm),parent(t67:1)],[t67:1,t65:2]) ).
cnf(t69,plain,
( ~ sP0
| big_p(sK2) ),
inference(extension,[status(thm),parent(t67:2)],[f_1_17]) ).
cnf(t70,plain,
$false,
inference(connection,[status(thm),parent(t69:1)],[t69:1,t67:2]) ).
cnf(t71,plain,
sP0,
inference(lemma_extension,[status(thm),parent(t69:2)],[l1:1]) ).
cnf(t72,plain,
$false,
inference(connection,[status(thm),parent(t71:1)],[t71:1,t69:2]) ).
cnf(t73,plain,
( big_p(sK7(sK3))
| ~ sP2(sK7(sK3),U_313,U_314,sK2)
| ~ big_p(sK1) ),
inference(extension,[status(thm),parent(t67:3)],[f_1_14]) ).
cnf(t74,plain,
$false,
inference(connection,[status(thm),parent(t73:1)],[t73:1,t67:3]) ).
cnf(t75,plain,
$false,
inference(reduction,[status(thm),parent(t73:2)],[t73:2,t65:2]) ).
cnf(t76,plain,
$false,
inference(reduction,[status(thm),parent(t73:3)],[t73:3,t41:3]) ).
cnf(t77,plain,
( big_p(sK3)
| ~ sP3(sK3) ),
inference(extension,[status(thm),parent(t63:3)],[f_1_24]) ).
cnf(t78,plain,
$false,
inference(connection,[status(thm),parent(t77:1)],[t77:1,t63:3]) ).
cnf(t79,plain,
$false,
inference(reduction,[status(thm),parent(t77:2)],[t77:2,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN374+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
% 0.08/0.34 % Computer : n020.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 06:31:17 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.67/0.95 % SZS status Theorem for theBenchmark
% 0.67/0.95 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------