%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% 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 : n007.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 09:03:37 AM UTC 2026
% Result : Theorem 19.35s 24.65s
% Output : Proof 19.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 32 unt; 0 def)
% Number of atoms : 45 ( 39 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 18 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 83 ( 5 sgn 50 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax42,axiom,
! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W),
file('SWV007+3.ax',ax42) ).
fof(ax55,axiom,
! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X),
file('SWV007+4.ax',ax55) ).
fof(main2_l12,lemma,
! [U,V,W,X,Y] : i(triple(U,W,X)) = i(triple(V,W,Y)),
file('theBenchmark.p',main2_l12) ).
fof(co2,conjecture,
! [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) = insert_pq(i(triple(U,V,W)),X),
file('theBenchmark.p',co2) ).
fof(f_42_1,plain,
! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W),
inference(fof_nnf,[status(thm)],[ax42]) ).
fof(f_42_2,plain,
! [U_152,U_151,U_150,U_149] : insert_cpq(triple(U_152,U_151,U_150),U_149) = triple(insert_pqp(U_152,U_149),insert_slb(U_151,pair(U_149,bottom)),U_150),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
insert_cpq(triple(U_152,U_151,U_150),U_149) = triple(insert_pqp(U_152,U_149),insert_slb(U_151,pair(U_149,bottom)),U_150),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_55_1,plain,
! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X),
inference(fof_nnf,[status(thm)],[ax55]) ).
fof(f_55_2,plain,
! [U_193,U_192,U_191,U_190,U_189] : i(triple(U_193,insert_slb(U_192,pair(U_190,U_189)),U_191)) = insert_pq(i(triple(U_193,U_192,U_191)),U_190),
inference(variable_rename,[status(thm)],[f_55_1]) ).
cnf(f_55_3,plain,
i(triple(U_193,insert_slb(U_192,pair(U_190,U_189)),U_191)) = insert_pq(i(triple(U_193,U_192,U_191)),U_190),
inference(clausify,[status(thm)],[f_55_2]) ).
fof(f_63_1,plain,
! [U,V,W,X,Y] : i(triple(U,W,X)) = i(triple(V,W,Y)),
inference(fof_nnf,[status(thm)],[main2_l12]) ).
fof(f_63_2,plain,
! [U_237,U_236,U_235,U_234,U_233] : i(triple(U_237,U_235,U_234)) = i(triple(U_236,U_235,U_233)),
inference(variable_rename,[status(thm)],[f_63_1]) ).
cnf(f_63_3,plain,
i(triple(U_237,U_235,U_234)) = i(triple(U_236,U_235,U_233)),
inference(clausify,[status(thm)],[f_63_2]) ).
fof(f_64_1,negated_conjecture,
~ ! [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) = insert_pq(i(triple(U,V,W)),X),
inference(negate,[status(cth)],[co2]) ).
fof(f_64_2,negated_conjecture,
? [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) != insert_pq(i(triple(U,V,W)),X),
inference(fof_nnf,[status(thm)],[f_64_1]) ).
fof(f_64_3,negated_conjecture,
? [U_241,U_240,U_239,U_238] : i(insert_cpq(triple(U_241,U_240,U_239),U_238)) != insert_pq(i(triple(U_241,U_240,U_239)),U_238),
inference(variable_rename,[status(thm)],[f_64_2]) ).
fof(f_64_4,negated_conjecture,
? [U_240,U_239,U_238] : i(insert_cpq(triple(sK5,U_240,U_239),U_238)) != insert_pq(i(triple(sK5,U_240,U_239)),U_238),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_241,sK5)],[f_64_3]) ).
fof(f_64_5,negated_conjecture,
? [U_239,U_238] : i(insert_cpq(triple(sK5,sK6,U_239),U_238)) != insert_pq(i(triple(sK5,sK6,U_239)),U_238),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_240,sK6)],[f_64_4]) ).
fof(f_64_6,negated_conjecture,
? [U_238] : i(insert_cpq(triple(sK5,sK6,sK7),U_238)) != insert_pq(i(triple(sK5,sK6,sK7)),U_238),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_239,sK7)],[f_64_5]) ).
fof(f_64_7,negated_conjecture,
i(insert_cpq(triple(sK5,sK6,sK7),sK8)) != insert_pq(i(triple(sK5,sK6,sK7)),sK8),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_238,sK8)],[f_64_6]) ).
fof(f_64_8,negated_conjecture,
i(insert_cpq(triple(sK5,sK6,sK7),sK8)) != insert_pq(i(triple(sK5,sK6,sK7)),sK8),
inference(definitional_conversion,[status(esa)],[f_64_7]) ).
cnf(f_64_9,negated_conjecture,
i(insert_cpq(triple(sK5,sK6,sK7),sK8)) != insert_pq(i(triple(sK5,sK6,sK7)),sK8),
inference(clausify,[status(thm)],[f_64_8]) ).
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(equality_25,axiom,
( i(Eq_x_0) = i(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(t1,plain,
i(insert_cpq(triple(sK5,sK6,sK7),sK8)) != insert_pq(i(triple(sK5,sK6,sK7)),sK8),
inference(start,[status(thm),parent(0:0)],[f_64_9]) ).
cnf(t2,plain,
( i(triple(insert_pqp(sK5,sK8),insert_slb(sK6,pair(sK8,bottom)),sK7)) != insert_pq(i(triple(sK5,sK6,sK7)),sK8)
| i(insert_cpq(triple(sK5,sK6,sK7),sK8)) != i(triple(insert_pqp(sK5,sK8),insert_slb(sK6,pair(sK8,bottom)),sK7))
| i(insert_cpq(triple(sK5,sK6,sK7),sK8)) = insert_pq(i(triple(sK5,sK6,sK7)),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,
( insert_cpq(triple(sK5,sK6,sK7),sK8) != triple(insert_pqp(sK5,sK8),insert_slb(sK6,pair(sK8,bottom)),sK7)
| i(insert_cpq(triple(sK5,sK6,sK7),sK8)) = i(triple(insert_pqp(sK5,sK8),insert_slb(sK6,pair(sK8,bottom)),sK7)) ),
inference(extension,[status(thm),parent(t2:2)],[equality_25]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
insert_cpq(triple(sK5,sK6,sK7),sK8) = triple(insert_pqp(sK5,sK8),insert_slb(sK6,pair(sK8,bottom)),sK7),
inference(extension,[status(thm),parent(t4:2)],[f_42_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( i(triple(sK5,insert_slb(sK6,pair(sK8,bottom)),sK7)) != insert_pq(i(triple(sK5,sK6,sK7)),sK8)
| i(triple(insert_pqp(sK5,sK8),insert_slb(sK6,pair(sK8,bottom)),sK7)) != i(triple(sK5,insert_slb(sK6,pair(sK8,bottom)),sK7))
| i(triple(insert_pqp(sK5,sK8),insert_slb(sK6,pair(sK8,bottom)),sK7)) = insert_pq(i(triple(sK5,sK6,sK7)),sK8) ),
inference(extension,[status(thm),parent(t2:3)],[equality_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
i(triple(insert_pqp(sK5,sK8),insert_slb(sK6,pair(sK8,bottom)),sK7)) = i(triple(sK5,insert_slb(sK6,pair(sK8,bottom)),sK7)),
inference(extension,[status(thm),parent(t8:2)],[f_63_3]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
i(triple(sK5,insert_slb(sK6,pair(sK8,bottom)),sK7)) = insert_pq(i(triple(sK5,sK6,sK7)),sK8),
inference(extension,[status(thm),parent(t8:3)],[f_55_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV415+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n007.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Sun Sep 20 03:29:40 UTC 2026
% 0.12/5.38 % CPUTime :
% 19.35/24.65 % SZS status Theorem for theBenchmark
% 19.35/24.65 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------