%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GRP012+5 : TPTP v9.3.1. Released v3.1.0.
% 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 : n009.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 08:41:07 AM UTC 2026
% Result : Theorem 30.15s 30.42s
% Output : Proof 30.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 66 ( 46 unt; 0 def)
% Number of atoms : 258 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 285 ( 93 ~; 81 |; 103 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 254 ( 0 sgn 208 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_distribution,conjecture,
! [E] :
( ( ! [X] : product(inverse(X),X,E)
& ! [X] : product(X,inverse(X),E)
& ! [X] : product(E,X,X)
& ! [X] : product(X,E,X)
& ! [X,Y,Z,U,V,W] :
( ( product(X,V,W)
& product(Y,Z,V)
& product(X,Y,U) )
=> product(U,Z,W) )
& ! [X,Y,Z,U,V,W] :
( ( product(U,Z,W)
& product(Y,Z,V)
& product(X,Y,U) )
=> product(X,V,W) )
& ! [X,Y] :
? [Z] : product(X,Y,Z) )
=> ! [U,V,W,X] :
( ( product(V,U,X)
& product(inverse(U),inverse(V),W) )
=> product(inverse(W),inverse(X),E) ) ),
file('theBenchmark.p',prove_distribution) ).
fof(f_1_1,negated_conjecture,
~ ! [E] :
( ( ! [X] : product(inverse(X),X,E)
& ! [X] : product(X,inverse(X),E)
& ! [X] : product(E,X,X)
& ! [X] : product(X,E,X)
& ! [X,Y,Z,U,V,W] :
( ( product(X,V,W)
& product(Y,Z,V)
& product(X,Y,U) )
=> product(U,Z,W) )
& ! [X,Y,Z,U,V,W] :
( ( product(U,Z,W)
& product(Y,Z,V)
& product(X,Y,U) )
=> product(X,V,W) )
& ! [X,Y] :
? [Z] : product(X,Y,Z) )
=> ! [U,V,W,X] :
( ( product(V,U,X)
& product(inverse(U),inverse(V),W) )
=> product(inverse(W),inverse(X),E) ) ),
inference(negate,[status(cth)],[prove_distribution]) ).
fof(f_1_2,negated_conjecture,
? [E] :
( ? [U,V,W,X] :
( ~ product(inverse(W),inverse(X),E)
& product(V,U,X)
& product(inverse(U),inverse(V),W) )
& ! [X] : product(inverse(X),X,E)
& ! [X] : product(X,inverse(X),E)
& ! [X] : product(E,X,X)
& ! [X] : product(X,E,X)
& ! [X,Y,Z,U,V,W] :
( product(U,Z,W)
| ~ product(X,V,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
& ! [X,Y,Z,U,V,W] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
& ! [X,Y] :
? [Z] : product(X,Y,Z) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_23] :
( ? [U_22,U_21,U_20,U_19] :
( ~ product(inverse(U_20),inverse(U_19),U_23)
& product(U_21,U_22,U_19)
& product(inverse(U_22),inverse(U_21),U_20) )
& ! [U_18] : product(inverse(U_18),U_18,U_23)
& ! [U_17] : product(U_17,inverse(U_17),U_23)
& ! [U_16] : product(U_23,U_16,U_16)
& ! [U_15] : product(U_15,U_23,U_15)
& ! [U_14,U_13,U_12,U_11,U_10,U_9] :
( product(U_11,U_12,U_9)
| ~ product(U_14,U_10,U_9)
| ~ product(U_13,U_12,U_10)
| ~ product(U_14,U_13,U_11) )
& ! [U_8,U_7,U_6,U_5,U_4,U_3] :
( product(U_8,U_4,U_3)
| ~ product(U_5,U_6,U_3)
| ~ product(U_7,U_6,U_4)
| ~ product(U_8,U_7,U_5) )
& ! [U_2,U_1] :
? [U_0] : product(U_2,U_1,U_0) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_22,U_21,U_20,U_19] :
( ~ product(inverse(U_20),inverse(U_19),sK1)
& product(U_21,U_22,U_19)
& product(inverse(U_22),inverse(U_21),U_20) )
& ! [U_18] : product(inverse(U_18),U_18,sK1)
& ! [U_17] : product(U_17,inverse(U_17),sK1)
& ! [U_16] : product(sK1,U_16,U_16)
& ! [U_15] : product(U_15,sK1,U_15)
& ! [U_14,U_13,U_12,U_11,U_10,U_9] :
( product(U_11,U_12,U_9)
| ~ product(U_14,U_10,U_9)
| ~ product(U_13,U_12,U_10)
| ~ product(U_14,U_13,U_11) )
& ! [U_8,U_7,U_6,U_5,U_4,U_3] :
( product(U_8,U_4,U_3)
| ~ product(U_5,U_6,U_3)
| ~ product(U_7,U_6,U_4)
| ~ product(U_8,U_7,U_5) )
& ! [U_2,U_1] :
? [U_0] : product(U_2,U_1,U_0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_23,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_22,U_21,U_20,U_19] :
( ~ product(inverse(U_20),inverse(U_19),sK1)
& product(U_21,U_22,U_19)
& product(inverse(U_22),inverse(U_21),U_20) )
& ! [U_18] : product(inverse(U_18),U_18,sK1)
& ! [U_17] : product(U_17,inverse(U_17),sK1)
& ! [U_16] : product(sK1,U_16,U_16)
& ! [U_15] : product(U_15,sK1,U_15)
& ! [U_14,U_13,U_12,U_11,U_10,U_9] :
( product(U_11,U_12,U_9)
| ~ product(U_14,U_10,U_9)
| ~ product(U_13,U_12,U_10)
| ~ product(U_14,U_13,U_11) )
& ! [U_8,U_7,U_6,U_5,U_4,U_3] :
( product(U_8,U_4,U_3)
| ~ product(U_5,U_6,U_3)
| ~ product(U_7,U_6,U_4)
| ~ product(U_8,U_7,U_5) )
& ! [U_2,U_1] : product(U_2,U_1,sK2(U_2,U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_0,sK2(U_2,U_1))],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ? [U_21,U_20,U_19] :
( ~ product(inverse(U_20),inverse(U_19),sK1)
& product(U_21,sK3,U_19)
& product(inverse(sK3),inverse(U_21),U_20) )
& ! [U_18] : product(inverse(U_18),U_18,sK1)
& ! [U_17] : product(U_17,inverse(U_17),sK1)
& ! [U_16] : product(sK1,U_16,U_16)
& ! [U_15] : product(U_15,sK1,U_15)
& ! [U_14,U_13,U_12,U_11,U_10,U_9] :
( product(U_11,U_12,U_9)
| ~ product(U_14,U_10,U_9)
| ~ product(U_13,U_12,U_10)
| ~ product(U_14,U_13,U_11) )
& ! [U_8,U_7,U_6,U_5,U_4,U_3] :
( product(U_8,U_4,U_3)
| ~ product(U_5,U_6,U_3)
| ~ product(U_7,U_6,U_4)
| ~ product(U_8,U_7,U_5) )
& ! [U_2,U_1] : product(U_2,U_1,sK2(U_2,U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_22,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ? [U_20,U_19] :
( ~ product(inverse(U_20),inverse(U_19),sK1)
& product(sK4,sK3,U_19)
& product(inverse(sK3),inverse(sK4),U_20) )
& ! [U_18] : product(inverse(U_18),U_18,sK1)
& ! [U_17] : product(U_17,inverse(U_17),sK1)
& ! [U_16] : product(sK1,U_16,U_16)
& ! [U_15] : product(U_15,sK1,U_15)
& ! [U_14,U_13,U_12,U_11,U_10,U_9] :
( product(U_11,U_12,U_9)
| ~ product(U_14,U_10,U_9)
| ~ product(U_13,U_12,U_10)
| ~ product(U_14,U_13,U_11) )
& ! [U_8,U_7,U_6,U_5,U_4,U_3] :
( product(U_8,U_4,U_3)
| ~ product(U_5,U_6,U_3)
| ~ product(U_7,U_6,U_4)
| ~ product(U_8,U_7,U_5) )
& ! [U_2,U_1] : product(U_2,U_1,sK2(U_2,U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_21,sK4)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ? [U_19] :
( ~ product(inverse(sK5),inverse(U_19),sK1)
& product(sK4,sK3,U_19)
& product(inverse(sK3),inverse(sK4),sK5) )
& ! [U_18] : product(inverse(U_18),U_18,sK1)
& ! [U_17] : product(U_17,inverse(U_17),sK1)
& ! [U_16] : product(sK1,U_16,U_16)
& ! [U_15] : product(U_15,sK1,U_15)
& ! [U_14,U_13,U_12,U_11,U_10,U_9] :
( product(U_11,U_12,U_9)
| ~ product(U_14,U_10,U_9)
| ~ product(U_13,U_12,U_10)
| ~ product(U_14,U_13,U_11) )
& ! [U_8,U_7,U_6,U_5,U_4,U_3] :
( product(U_8,U_4,U_3)
| ~ product(U_5,U_6,U_3)
| ~ product(U_7,U_6,U_4)
| ~ product(U_8,U_7,U_5) )
& ! [U_2,U_1] : product(U_2,U_1,sK2(U_2,U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_20,sK5)],[f_1_7]) ).
fof(f_1_9,negated_conjecture,
( ~ product(inverse(sK5),inverse(sK6),sK1)
& product(sK4,sK3,sK6)
& product(inverse(sK3),inverse(sK4),sK5)
& ! [U_18] : product(inverse(U_18),U_18,sK1)
& ! [U_17] : product(U_17,inverse(U_17),sK1)
& ! [U_16] : product(sK1,U_16,U_16)
& ! [U_15] : product(U_15,sK1,U_15)
& ! [U_14,U_13,U_12,U_11,U_10,U_9] :
( product(U_11,U_12,U_9)
| ~ product(U_14,U_10,U_9)
| ~ product(U_13,U_12,U_10)
| ~ product(U_14,U_13,U_11) )
& ! [U_8,U_7,U_6,U_5,U_4,U_3] :
( product(U_8,U_4,U_3)
| ~ product(U_5,U_6,U_3)
| ~ product(U_7,U_6,U_4)
| ~ product(U_8,U_7,U_5) )
& ! [U_2,U_1] : product(U_2,U_1,sK2(U_2,U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_19,sK6)],[f_1_8]) ).
fof(f_1_10,negated_conjecture,
( ~ product(inverse(sK5),inverse(sK6),sK1)
& product(sK4,sK3,sK6)
& product(inverse(sK3),inverse(sK4),sK5)
& ! [U_18] : product(inverse(U_18),U_18,sK1)
& ! [U_17] : product(U_17,inverse(U_17),sK1)
& ! [U_16] : product(sK1,U_16,U_16)
& ! [U_15] : product(U_15,sK1,U_15)
& ! [U_9,U_13,U_12,U_10,U_11,U_14] :
( product(U_11,U_12,U_9)
| ~ product(U_14,U_10,U_9)
| ~ product(U_13,U_12,U_10)
| ~ product(U_14,U_13,U_11) )
& ! [U_8,U_4,U_7,U_6,U_3,U_5] :
( product(U_8,U_4,U_3)
| ~ product(U_5,U_6,U_3)
| ~ product(U_7,U_6,U_4)
| ~ product(U_8,U_7,U_5) )
& ! [U_2,U_1] : product(U_2,U_1,sK2(U_2,U_1)) ),
inference(definitional_conversion,[status(esa)],[f_1_9]) ).
cnf(f_1_11,negated_conjecture,
product(U_2,U_1,sK2(U_2,U_1)),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(f_1_12,negated_conjecture,
( product(U_8,U_4,U_3)
| ~ product(U_5,U_6,U_3)
| ~ product(U_7,U_6,U_4)
| ~ product(U_8,U_7,U_5) ),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(f_1_13,negated_conjecture,
( product(U_11,U_12,U_9)
| ~ product(U_14,U_10,U_9)
| ~ product(U_13,U_12,U_10)
| ~ product(U_14,U_13,U_11) ),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(f_1_15,negated_conjecture,
product(sK1,U_16,U_16),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(f_1_16,negated_conjecture,
product(U_17,inverse(U_17),sK1),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(f_1_17,negated_conjecture,
product(inverse(U_18),U_18,sK1),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(f_1_18,negated_conjecture,
product(inverse(sK3),inverse(sK4),sK5),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(f_1_19,negated_conjecture,
product(sK4,sK3,sK6),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(f_1_20,negated_conjecture,
~ product(inverse(sK5),inverse(sK6),sK1),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(t1,plain,
( ~ product(sK3,sK1,sK2(sK3,sK2(inverse(sK6),inverse(sK5))))
| ~ product(sK4,sK2(sK3,sK2(inverse(sK6),inverse(sK5))),inverse(sK5))
| product(sK6,sK1,inverse(sK5))
| ~ product(sK4,sK3,sK6) ),
inference(start,[status(thm),parent(0:0)],[f_1_13]) ).
cnf(t2,plain,
product(sK4,sK3,sK6),
inference(extension,[status(thm),parent(t1:1)],[f_1_19]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ product(sK1,inverse(sK6),inverse(sK6))
| ~ product(sK6,inverse(sK6),sK1)
| product(inverse(sK5),inverse(sK6),sK1)
| ~ product(sK6,sK1,inverse(sK5)) ),
inference(extension,[status(thm),parent(t1:2)],[f_1_13]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
~ product(inverse(sK5),inverse(sK6),sK1),
inference(extension,[status(thm),parent(t4:2)],[f_1_20]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
product(sK6,inverse(sK6),sK1),
inference(extension,[status(thm),parent(t4:3)],[f_1_16]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
product(sK1,inverse(sK6),inverse(sK6)),
inference(extension,[status(thm),parent(t4:4)],[f_1_15]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:4]) ).
cnf(t12,plain,
( ~ product(sK3,sK2(inverse(sK6),inverse(sK5)),sK2(sK3,sK2(inverse(sK6),inverse(sK5))))
| ~ product(sK6,sK2(inverse(sK6),inverse(sK5)),inverse(sK5))
| ~ product(sK4,sK3,sK6)
| product(sK4,sK2(sK3,sK2(inverse(sK6),inverse(sK5))),inverse(sK5)) ),
inference(extension,[status(thm),parent(t1:3)],[f_1_12]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t1:3]) ).
cnf(t14,plain,
product(sK4,sK3,sK6),
inference(extension,[status(thm),parent(t12:2)],[f_1_19]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ product(inverse(sK6),inverse(sK5),sK2(inverse(sK6),inverse(sK5)))
| ~ product(sK1,inverse(sK5),inverse(sK5))
| ~ product(sK6,inverse(sK6),sK1)
| product(sK6,sK2(inverse(sK6),inverse(sK5)),inverse(sK5)) ),
inference(extension,[status(thm),parent(t12:3)],[f_1_12]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
product(sK6,inverse(sK6),sK1),
inference(extension,[status(thm),parent(t16:2)],[f_1_16]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
product(sK1,inverse(sK5),inverse(sK5)),
inference(extension,[status(thm),parent(t16:3)],[f_1_15]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
product(inverse(sK6),inverse(sK5),sK2(inverse(sK6),inverse(sK5))),
inference(extension,[status(thm),parent(t16:4)],[f_1_11]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t16:4]) ).
cnf(t24,plain,
product(sK3,sK2(inverse(sK6),inverse(sK5)),sK2(sK3,sK2(inverse(sK6),inverse(sK5)))),
inference(extension,[status(thm),parent(t12:4)],[f_1_11]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t12:4]) ).
cnf(l6,lemma,
product(sK4,sK2(sK3,sK2(inverse(sK6),inverse(sK5))),inverse(sK5)),
inference(lemma,[status(cth),parent(t1:3),below(0:0)],[t1:3]) ).
cnf(t26,plain,
( ~ product(inverse(sK3),sK2(sK3,sK2(inverse(sK6),inverse(sK5))),sK1)
| ~ product(sK1,sK2(sK3,sK2(inverse(sK6),inverse(sK5))),sK2(sK3,sK2(inverse(sK6),inverse(sK5))))
| ~ product(sK3,inverse(sK3),sK1)
| product(sK3,sK1,sK2(sK3,sK2(inverse(sK6),inverse(sK5)))) ),
inference(extension,[status(thm),parent(t1:4)],[f_1_12]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t1:4]) ).
cnf(t28,plain,
product(sK3,inverse(sK3),sK1),
inference(extension,[status(thm),parent(t26:2)],[f_1_16]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
product(sK1,sK2(sK3,sK2(inverse(sK6),inverse(sK5))),sK2(sK3,sK2(inverse(sK6),inverse(sK5)))),
inference(extension,[status(thm),parent(t26:3)],[f_1_15]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
( ~ product(inverse(sK4),inverse(sK5),sK2(sK3,sK2(inverse(sK6),inverse(sK5))))
| ~ product(sK5,inverse(sK5),sK1)
| ~ product(inverse(sK3),inverse(sK4),sK5)
| product(inverse(sK3),sK2(sK3,sK2(inverse(sK6),inverse(sK5))),sK1) ),
inference(extension,[status(thm),parent(t26:4)],[f_1_12]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t26:4]) ).
cnf(t34,plain,
product(inverse(sK3),inverse(sK4),sK5),
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,
product(sK5,inverse(sK5),sK1),
inference(extension,[status(thm),parent(t32:3)],[f_1_16]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
( ~ product(sK4,sK2(sK3,sK2(inverse(sK6),inverse(sK5))),inverse(sK5))
| ~ product(sK1,sK2(sK3,sK2(inverse(sK6),inverse(sK5))),sK2(sK3,sK2(inverse(sK6),inverse(sK5))))
| ~ product(inverse(sK4),sK4,sK1)
| product(inverse(sK4),inverse(sK5),sK2(sK3,sK2(inverse(sK6),inverse(sK5)))) ),
inference(extension,[status(thm),parent(t32:4)],[f_1_12]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t32:4]) ).
cnf(t40,plain,
product(inverse(sK4),sK4,sK1),
inference(extension,[status(thm),parent(t38:2)],[f_1_17]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
product(sK1,sK2(sK3,sK2(inverse(sK6),inverse(sK5))),sK2(sK3,sK2(inverse(sK6),inverse(sK5)))),
inference(extension,[status(thm),parent(t38:3)],[f_1_15]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t38:3]) ).
cnf(t44,plain,
product(sK4,sK2(sK3,sK2(inverse(sK6),inverse(sK5))),inverse(sK5)),
inference(lemma_extension,[status(thm),parent(t38:4)],[l6:1]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t38:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP012+5 : TPTP v9.3.1. Released v3.1.0.
% 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
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 08:30:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 30.15/30.42 % SZS status Theorem for theBenchmark
% 30.15/30.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------