%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV365+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 09:03:31 AM UTC 2026
% Result : Theorem 19.34s 19.69s
% Output : Proof 19.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 21 unt; 0 def)
% Number of atoms : 31 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 16 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 35 ( 2 sgn 14 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax54,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
file('SWV007+4.ax',ax54) ).
fof(l1_co,conjecture,
! [U,V,X,Y] : i(triple(U,create_slb,X)) = i(triple(V,create_slb,Y)),
file('theBenchmark.p',l1_co) ).
fof(f_54_1,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(fof_nnf,[status(thm)],[ax54]) ).
fof(f_54_2,plain,
! [U_188,U_187] : i(triple(U_188,create_slb,U_187)) = create_pq,
inference(variable_rename,[status(thm)],[f_54_1]) ).
cnf(f_54_3,plain,
i(triple(U_188,create_slb,U_187)) = create_pq,
inference(clausify,[status(thm)],[f_54_2]) ).
fof(f_63_1,negated_conjecture,
~ ! [U,V,X,Y] : i(triple(U,create_slb,X)) = i(triple(V,create_slb,Y)),
inference(negate,[status(cth)],[l1_co]) ).
fof(f_63_2,negated_conjecture,
? [U,V,X,Y] : i(triple(U,create_slb,X)) != i(triple(V,create_slb,Y)),
inference(fof_nnf,[status(thm)],[f_63_1]) ).
fof(f_63_3,negated_conjecture,
? [U_236,U_235,U_234,U_233] : i(triple(U_236,create_slb,U_234)) != i(triple(U_235,create_slb,U_233)),
inference(variable_rename,[status(thm)],[f_63_2]) ).
fof(f_63_4,negated_conjecture,
? [U_235,U_234,U_233] : i(triple(sK5,create_slb,U_234)) != i(triple(U_235,create_slb,U_233)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_236,sK5)],[f_63_3]) ).
fof(f_63_5,negated_conjecture,
? [U_234,U_233] : i(triple(sK5,create_slb,U_234)) != i(triple(sK6,create_slb,U_233)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_235,sK6)],[f_63_4]) ).
fof(f_63_6,negated_conjecture,
? [U_233] : i(triple(sK5,create_slb,sK7)) != i(triple(sK6,create_slb,U_233)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_234,sK7)],[f_63_5]) ).
fof(f_63_7,negated_conjecture,
i(triple(sK5,create_slb,sK7)) != i(triple(sK6,create_slb,sK8)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_233,sK8)],[f_63_6]) ).
fof(f_63_8,negated_conjecture,
i(triple(sK5,create_slb,sK7)) != i(triple(sK6,create_slb,sK8)),
inference(definitional_conversion,[status(esa)],[f_63_7]) ).
cnf(f_63_9,negated_conjecture,
i(triple(sK5,create_slb,sK7)) != i(triple(sK6,create_slb,sK8)),
inference(clausify,[status(thm)],[f_63_8]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(t1,plain,
i(triple(sK5,create_slb,sK7)) != i(triple(sK6,create_slb,sK8)),
inference(start,[status(thm),parent(0:0)],[f_63_9]) ).
cnf(t2,plain,
( create_pq != i(triple(sK6,create_slb,sK8))
| i(triple(sK5,create_slb,sK7)) != create_pq
| i(triple(sK5,create_slb,sK7)) = i(triple(sK6,create_slb,sK8)) ),
inference(extension,[status(thm),parent(t1:1)],[equality_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
i(triple(sK5,create_slb,sK7)) = create_pq,
inference(extension,[status(thm),parent(t2:2)],[f_54_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( i(triple(sK6,create_slb,sK8)) != create_pq
| create_pq = i(triple(sK6,create_slb,sK8)) ),
inference(extension,[status(thm),parent(t2:3)],[equality_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
i(triple(sK6,create_slb,sK8)) = create_pq,
inference(extension,[status(thm),parent(t6:2)],[f_54_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV365+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ 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
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 03:32:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 19.34/19.69 % SZS status Theorem for theBenchmark
% 19.34/19.69 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------