%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV392+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 : n001.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 09:03:34 AM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 40 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 18 ~; 2 |; 18 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 1 sgn 9 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax20,axiom,
! [U] : ~ contains_slb(create_slb,U),
file('SWV007+2.ax',ax20) ).
fof(l28_co,conjecture,
! [U,V] :
( pair_in_list(create_slb,U,V)
=> ! [W] :
( contains_slb(create_slb,W)
=> ( U = W
| pair_in_list(remove_slb(create_slb,W),U,V) ) ) ),
file('theBenchmark.p',l28_co) ).
fof(f_8_1,plain,
! [U] : ~ contains_slb(create_slb,U),
inference(fof_nnf,[status(thm)],[ax20]) ).
fof(f_8_2,plain,
! [U_16] : ~ contains_slb(create_slb,U_16),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
~ contains_slb(create_slb,U_16),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_19_1,negated_conjecture,
~ ! [U,V] :
( pair_in_list(create_slb,U,V)
=> ! [W] :
( contains_slb(create_slb,W)
=> ( U = W
| pair_in_list(remove_slb(create_slb,W),U,V) ) ) ),
inference(negate,[status(cth)],[l28_co]) ).
fof(f_19_2,negated_conjecture,
? [U,V] :
( ? [W] :
( U != W
& ~ pair_in_list(remove_slb(create_slb,W),U,V)
& contains_slb(create_slb,W) )
& pair_in_list(create_slb,U,V) ),
inference(fof_nnf,[status(thm)],[f_19_1]) ).
fof(f_19_3,negated_conjecture,
? [U_71,U_70] :
( ? [U_69] :
( U_71 != U_69
& ~ pair_in_list(remove_slb(create_slb,U_69),U_71,U_70)
& contains_slb(create_slb,U_69) )
& pair_in_list(create_slb,U_71,U_70) ),
inference(variable_rename,[status(thm)],[f_19_2]) ).
fof(f_19_4,negated_conjecture,
? [U_70] :
( ? [U_69] :
( sK1 != U_69
& ~ pair_in_list(remove_slb(create_slb,U_69),sK1,U_70)
& contains_slb(create_slb,U_69) )
& pair_in_list(create_slb,sK1,U_70) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_71,sK1)],[f_19_3]) ).
fof(f_19_5,negated_conjecture,
( ? [U_69] :
( sK1 != U_69
& ~ pair_in_list(remove_slb(create_slb,U_69),sK1,sK2)
& contains_slb(create_slb,U_69) )
& pair_in_list(create_slb,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_70,sK2)],[f_19_4]) ).
fof(f_19_6,negated_conjecture,
( sK1 != sK3
& ~ pair_in_list(remove_slb(create_slb,sK3),sK1,sK2)
& contains_slb(create_slb,sK3)
& pair_in_list(create_slb,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_69,sK3)],[f_19_5]) ).
fof(f_19_7,negated_conjecture,
( sK1 != sK3
& ~ pair_in_list(remove_slb(create_slb,sK3),sK1,sK2)
& contains_slb(create_slb,sK3)
& pair_in_list(create_slb,sK1,sK2) ),
inference(definitional_conversion,[status(esa)],[f_19_6]) ).
cnf(f_19_9,negated_conjecture,
contains_slb(create_slb,sK3),
inference(clausify,[status(thm)],[f_19_7]) ).
cnf(t1,plain,
~ contains_slb(create_slb,sK3),
inference(start,[status(thm),parent(0:0)],[f_8_3]) ).
cnf(t2,plain,
contains_slb(create_slb,sK3),
inference(extension,[status(thm),parent(t1:1)],[f_19_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV392+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
% 0.08/0.34 % Computer : n001.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 03:35:40 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------