%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV400+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 09:03:35 AM UTC 2026
% Result : Theorem 0.12s 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 31 ( 13 ~; 0 |; 16 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 6 sgn 14 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax22,axiom,
! [U,V] : ~ pair_in_list(create_slb,U,V),
file('SWV007+2.ax',ax22) ).
fof(l36_co,conjecture,
! [U,V,W,X] :
( ( less_than(X,W)
& pair_in_list(create_slb,V,W) )
=> pair_in_list(update_slb(create_slb,X),V,W) ),
file('theBenchmark.p',l36_co) ).
fof(f_10_1,plain,
! [U,V] : ~ pair_in_list(create_slb,U,V),
inference(fof_nnf,[status(thm)],[ax22]) ).
fof(f_10_2,plain,
! [U_30,U_29] : ~ pair_in_list(create_slb,U_30,U_29),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
~ pair_in_list(create_slb,U_30,U_29),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_19_1,negated_conjecture,
~ ! [U,V,W,X] :
( ( less_than(X,W)
& pair_in_list(create_slb,V,W) )
=> pair_in_list(update_slb(create_slb,X),V,W) ),
inference(negate,[status(cth)],[l36_co]) ).
fof(f_19_2,negated_conjecture,
? [U,V,W,X] :
( ~ pair_in_list(update_slb(create_slb,X),V,W)
& less_than(X,W)
& pair_in_list(create_slb,V,W) ),
inference(fof_nnf,[status(thm)],[f_19_1]) ).
fof(f_19_3,negated_conjecture,
? [U_72,U_71,U_70,U_69] :
( ~ pair_in_list(update_slb(create_slb,U_69),U_71,U_70)
& less_than(U_69,U_70)
& pair_in_list(create_slb,U_71,U_70) ),
inference(variable_rename,[status(thm)],[f_19_2]) ).
fof(f_19_4,negated_conjecture,
? [U_71,U_70,U_69] :
( ~ pair_in_list(update_slb(create_slb,U_69),U_71,U_70)
& less_than(U_69,U_70)
& pair_in_list(create_slb,U_71,U_70) ),
inference(miniscope,[status(thm)],[f_19_3]) ).
fof(f_19_5,negated_conjecture,
? [U_70,U_69] :
( ~ pair_in_list(update_slb(create_slb,U_69),sK1,U_70)
& less_than(U_69,U_70)
& pair_in_list(create_slb,sK1,U_70) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_71,sK1)],[f_19_4]) ).
fof(f_19_6,negated_conjecture,
? [U_69] :
( ~ pair_in_list(update_slb(create_slb,U_69),sK1,sK2)
& less_than(U_69,sK2)
& pair_in_list(create_slb,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_70,sK2)],[f_19_5]) ).
fof(f_19_7,negated_conjecture,
( ~ pair_in_list(update_slb(create_slb,sK3),sK1,sK2)
& less_than(sK3,sK2)
& pair_in_list(create_slb,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_69,sK3)],[f_19_6]) ).
fof(f_19_8,negated_conjecture,
( ~ pair_in_list(update_slb(create_slb,sK3),sK1,sK2)
& less_than(sK3,sK2)
& pair_in_list(create_slb,sK1,sK2) ),
inference(definitional_conversion,[status(esa)],[f_19_7]) ).
cnf(f_19_9,negated_conjecture,
pair_in_list(create_slb,sK1,sK2),
inference(clausify,[status(thm)],[f_19_8]) ).
cnf(t1,plain,
~ pair_in_list(create_slb,sK1,sK2),
inference(start,[status(thm),parent(0:0)],[f_10_3]) ).
cnf(t2,plain,
pair_in_list(create_slb,sK1,sK2),
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 : SWV400+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
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 03:35:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.40 % SZS status Theorem for theBenchmark
% 0.12/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------