%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV405+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 : n004.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 0.15s 10.45s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 114 ( 47 ~; 31 |; 32 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 85 ( 12 sgn 44 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax22,axiom,
! [U,V] : ~ pair_in_list(create_slb,U,V),
file('SWV007+2.ax',ax22) ).
fof(ax36,axiom,
! [U,V] : check_cpq(triple(U,create_slb,V)),
file('SWV007+3.ax',ax36) ).
fof(l41_co,conjecture,
! [U,V] :
( check_cpq(triple(U,create_slb,V))
<=> ! [W,X] :
( pair_in_list(create_slb,W,X)
=> less_than(X,W) ) ),
file('theBenchmark.p',l41_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_24_1,plain,
! [U,V] : check_cpq(triple(U,create_slb,V)),
inference(fof_nnf,[status(thm)],[ax36]) ).
fof(f_24_2,plain,
! [U_81,U_80] : check_cpq(triple(U_81,create_slb,U_80)),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
check_cpq(triple(U_81,create_slb,U_80)),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_42_1,negated_conjecture,
~ ! [U,V] :
( check_cpq(triple(U,create_slb,V))
<=> ! [W,X] :
( pair_in_list(create_slb,W,X)
=> less_than(X,W) ) ),
inference(negate,[status(cth)],[l41_co]) ).
fof(f_42_2,negated_conjecture,
? [U,V] :
( ( ~ check_cpq(triple(U,create_slb,V))
& ! [W,X] :
( less_than(X,W)
| ~ pair_in_list(create_slb,W,X) ) )
| ( ? [W,X] :
( ~ less_than(X,W)
& pair_in_list(create_slb,W,X) )
& check_cpq(triple(U,create_slb,V)) ) ),
inference(fof_nnf,[status(thm)],[f_42_1]) ).
fof(f_42_3,negated_conjecture,
? [U_156,U_155] :
( ( ~ check_cpq(triple(U_156,create_slb,U_155))
& ! [U_154,U_153] :
( less_than(U_153,U_154)
| ~ pair_in_list(create_slb,U_154,U_153) ) )
| ( ? [U_152,U_151] :
( ~ less_than(U_151,U_152)
& pair_in_list(create_slb,U_152,U_151) )
& check_cpq(triple(U_156,create_slb,U_155)) ) ),
inference(variable_rename,[status(thm)],[f_42_2]) ).
fof(f_42_4,negated_conjecture,
( ( ? [U_160,U_158] : ~ check_cpq(triple(U_160,create_slb,U_158))
& ! [U_154,U_153] :
( less_than(U_153,U_154)
| ~ pair_in_list(create_slb,U_154,U_153) ) )
| ( ? [U_159,U_157] : check_cpq(triple(U_159,create_slb,U_157))
& ? [U_152,U_151] :
( ~ less_than(U_151,U_152)
& pair_in_list(create_slb,U_152,U_151) ) ) ),
inference(miniscope,[status(thm)],[f_42_3]) ).
fof(f_42_5,negated_conjecture,
( ( ? [U_160,U_158] : ~ check_cpq(triple(U_160,create_slb,U_158))
& ! [U_154,U_153] :
( less_than(U_153,U_154)
| ~ pair_in_list(create_slb,U_154,U_153) ) )
| ( ? [U_159,U_157] : check_cpq(triple(U_159,create_slb,U_157))
& ? [U_151] :
( ~ less_than(U_151,sK1)
& pair_in_list(create_slb,sK1,U_151) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_152,sK1)],[f_42_4]) ).
fof(f_42_6,negated_conjecture,
( ( ? [U_160,U_158] : ~ check_cpq(triple(U_160,create_slb,U_158))
& ! [U_154,U_153] :
( less_than(U_153,U_154)
| ~ pair_in_list(create_slb,U_154,U_153) ) )
| ( ? [U_159,U_157] : check_cpq(triple(U_159,create_slb,U_157))
& ~ less_than(sK2,sK1)
& pair_in_list(create_slb,sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_151,sK2)],[f_42_5]) ).
fof(f_42_7,negated_conjecture,
( ( ? [U_160,U_158] : ~ check_cpq(triple(U_160,create_slb,U_158))
& ! [U_154,U_153] :
( less_than(U_153,U_154)
| ~ pair_in_list(create_slb,U_154,U_153) ) )
| ( ? [U_157] : check_cpq(triple(sK3,create_slb,U_157))
& ~ less_than(sK2,sK1)
& pair_in_list(create_slb,sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_159,sK3)],[f_42_6]) ).
fof(f_42_8,negated_conjecture,
( ( ? [U_160,U_158] : ~ check_cpq(triple(U_160,create_slb,U_158))
& ! [U_154,U_153] :
( less_than(U_153,U_154)
| ~ pair_in_list(create_slb,U_154,U_153) ) )
| ( check_cpq(triple(sK3,create_slb,sK4))
& ~ less_than(sK2,sK1)
& pair_in_list(create_slb,sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_157,sK4)],[f_42_7]) ).
fof(f_42_9,negated_conjecture,
( ( ? [U_158] : ~ check_cpq(triple(sK5,create_slb,U_158))
& ! [U_154,U_153] :
( less_than(U_153,U_154)
| ~ pair_in_list(create_slb,U_154,U_153) ) )
| ( check_cpq(triple(sK3,create_slb,sK4))
& ~ less_than(sK2,sK1)
& pair_in_list(create_slb,sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_160,sK5)],[f_42_8]) ).
fof(f_42_10,negated_conjecture,
( ( ~ check_cpq(triple(sK5,create_slb,sK6))
& ! [U_154,U_153] :
( less_than(U_153,U_154)
| ~ pair_in_list(create_slb,U_154,U_153) ) )
| ( check_cpq(triple(sK3,create_slb,sK4))
& ~ less_than(sK2,sK1)
& pair_in_list(create_slb,sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_158,sK6)],[f_42_9]) ).
fof(f_42_11,negated_conjecture,
( ! [U_153,U_154] :
( ~ check_cpq(triple(sK5,create_slb,sK6))
| ~ sP1(U_153,U_154) )
& ! [U_153,U_154] :
( less_than(U_153,U_154)
| ~ pair_in_list(create_slb,U_154,U_153)
| ~ sP1(U_153,U_154) )
& ( check_cpq(triple(sK3,create_slb,sK4))
| ~ sP0 )
& ( ~ less_than(sK2,sK1)
| ~ sP0 )
& ( pair_in_list(create_slb,sK1,sK2)
| ~ sP0 )
& ! [U_153,U_154] :
( sP1(U_153,U_154)
| sP0 ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_42_10]) ).
cnf(f_42_12,negated_conjecture,
( sP1(U_153,U_154)
| sP0 ),
inference(clausify,[status(thm)],[f_42_11]) ).
cnf(f_42_13,negated_conjecture,
( pair_in_list(create_slb,sK1,sK2)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_42_11]) ).
cnf(f_42_17,negated_conjecture,
( ~ check_cpq(triple(sK5,create_slb,sK6))
| ~ sP1(U_153,U_154) ),
inference(clausify,[status(thm)],[f_42_11]) ).
cnf(t1,plain,
( ~ check_cpq(triple(sK5,create_slb,sK6))
| ~ sP1(U_1408,U_1409) ),
inference(start,[status(thm),parent(0:0)],[f_42_17]) ).
cnf(t2,plain,
( sP0
| sP1(U_1408,U_1409) ),
inference(extension,[status(thm),parent(t1:1)],[f_42_12]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( pair_in_list(create_slb,sK1,sK2)
| ~ sP0 ),
inference(extension,[status(thm),parent(t2:2)],[f_42_13]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
~ pair_in_list(create_slb,sK1,sK2),
inference(extension,[status(thm),parent(t4:2)],[f_10_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
check_cpq(triple(sK5,create_slb,sK6)),
inference(extension,[status(thm),parent(t1:2)],[f_24_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV405+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
% 0.10/10.39 % Computer : n004.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Sun Sep 20 03:31:02 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.15/10.45 % SZS status Theorem for theBenchmark
% 0.15/10.45 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------