%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV395+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 : n012.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 0.06s 0.34s
% Output : Proof 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 13 ~; 0 |; 25 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 30 ( 2 sgn 14 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax22,axiom,
! [U,V] : ~ pair_in_list(create_slb,U,V),
file('SWV007+2.ax',ax22) ).
fof(l31_co,conjecture,
! [U,V,W,X] :
( ( ok(remove_cpq(triple(U,create_slb,V),W))
& strictly_less_than(W,X)
& pair_in_list(create_slb,W,X) )
=> pair_in_list(remove_slb(create_slb,W),W,X) ),
file('theBenchmark.p',l31_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_42_1,negated_conjecture,
~ ! [U,V,W,X] :
( ( ok(remove_cpq(triple(U,create_slb,V),W))
& strictly_less_than(W,X)
& pair_in_list(create_slb,W,X) )
=> pair_in_list(remove_slb(create_slb,W),W,X) ),
inference(negate,[status(cth)],[l31_co]) ).
fof(f_42_2,negated_conjecture,
? [U,V,W,X] :
( ~ pair_in_list(remove_slb(create_slb,W),W,X)
& ok(remove_cpq(triple(U,create_slb,V),W))
& strictly_less_than(W,X)
& pair_in_list(create_slb,W,X) ),
inference(fof_nnf,[status(thm)],[f_42_1]) ).
fof(f_42_3,negated_conjecture,
? [U_154,U_153,U_152,U_151] :
( ~ pair_in_list(remove_slb(create_slb,U_152),U_152,U_151)
& ok(remove_cpq(triple(U_154,create_slb,U_153),U_152))
& strictly_less_than(U_152,U_151)
& pair_in_list(create_slb,U_152,U_151) ),
inference(variable_rename,[status(thm)],[f_42_2]) ).
fof(f_42_4,negated_conjecture,
? [U_153,U_152,U_151] :
( ~ pair_in_list(remove_slb(create_slb,U_152),U_152,U_151)
& ok(remove_cpq(triple(sK1,create_slb,U_153),U_152))
& strictly_less_than(U_152,U_151)
& pair_in_list(create_slb,U_152,U_151) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_154,sK1)],[f_42_3]) ).
fof(f_42_5,negated_conjecture,
? [U_152,U_151] :
( ~ pair_in_list(remove_slb(create_slb,U_152),U_152,U_151)
& ok(remove_cpq(triple(sK1,create_slb,sK2),U_152))
& strictly_less_than(U_152,U_151)
& pair_in_list(create_slb,U_152,U_151) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_153,sK2)],[f_42_4]) ).
fof(f_42_6,negated_conjecture,
? [U_151] :
( ~ pair_in_list(remove_slb(create_slb,sK3),sK3,U_151)
& ok(remove_cpq(triple(sK1,create_slb,sK2),sK3))
& strictly_less_than(sK3,U_151)
& pair_in_list(create_slb,sK3,U_151) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_152,sK3)],[f_42_5]) ).
fof(f_42_7,negated_conjecture,
( ~ pair_in_list(remove_slb(create_slb,sK3),sK3,sK4)
& ok(remove_cpq(triple(sK1,create_slb,sK2),sK3))
& strictly_less_than(sK3,sK4)
& pair_in_list(create_slb,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_151,sK4)],[f_42_6]) ).
fof(f_42_8,negated_conjecture,
( ~ pair_in_list(remove_slb(create_slb,sK3),sK3,sK4)
& ok(remove_cpq(triple(sK1,create_slb,sK2),sK3))
& strictly_less_than(sK3,sK4)
& pair_in_list(create_slb,sK3,sK4) ),
inference(definitional_conversion,[status(esa)],[f_42_7]) ).
cnf(f_42_9,negated_conjecture,
pair_in_list(create_slb,sK3,sK4),
inference(clausify,[status(thm)],[f_42_8]) ).
cnf(t1,plain,
~ pair_in_list(create_slb,sK3,sK4),
inference(start,[status(thm),parent(0:0)],[f_10_3]) ).
cnf(t2,plain,
pair_in_list(create_slb,sK3,sK4),
inference(extension,[status(thm),parent(t1:1)],[f_42_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV395+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.01 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 20 03:29:52 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.06/0.34 % SZS status Theorem for theBenchmark
% 0.06/0.34 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------