%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MSC012+1 : TPTP v9.3.1. Released v3.2.0.
% 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 : 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 08:50:56 AM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(left_to_right,axiom,
! [A,B] :
( ( p(B)
& less(A,B)
& p(A) )
=> goal ),
file('theBenchmark.p',left_to_right) ).
fof(right_to_left,axiom,
! [A] :
( ? [B] :
( p(B)
& less(A,B) )
| p(A) ),
file('theBenchmark.p',right_to_left) ).
fof(transitive_less,axiom,
! [A,B,C] :
( ( less(B,C)
& less(A,B) )
=> less(A,C) ),
file('theBenchmark.p',transitive_less) ).
fof(serial_less,axiom,
! [A] :
? [B] : less(A,B),
file('theBenchmark.p',serial_less) ).
fof(goal_to_be_proved,conjecture,
goal,
file('theBenchmark.p',goal_to_be_proved) ).
fof(f_1_1,plain,
! [A,B] :
( goal
| ~ p(B)
| ~ less(A,B)
| ~ p(A) ),
inference(fof_nnf,[status(thm)],[left_to_right]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( goal
| ~ p(U_0)
| ~ less(U_1,U_0)
| ~ p(U_1) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_1] :
( ! [U_0] :
( ~ p(U_0)
| ~ less(U_1,U_0) )
| ~ p(U_1) )
| goal ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
( ~ p(U_0)
| ~ less(U_1,U_0)
| ~ p(U_1)
| goal ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [A] :
( ? [B] :
( p(B)
& less(A,B) )
| p(A) ),
inference(fof_nnf,[status(thm)],[right_to_left]) ).
fof(f_2_2,plain,
! [U_3] :
( ? [U_2] :
( p(U_2)
& less(U_3,U_2) )
| p(U_3) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_3] :
( ( p(sK1(U_3))
& less(U_3,sK1(U_3)) )
| p(U_3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1(U_3))],[f_2_2]) ).
cnf(f_2_4,plain,
( less(U_3,sK1(U_3))
| p(U_3) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
( p(sK1(U_3))
| p(U_3) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A,B,C] :
( less(A,C)
| ~ less(B,C)
| ~ less(A,B) ),
inference(fof_nnf,[status(thm)],[transitive_less]) ).
fof(f_3_2,plain,
! [U_6,U_5,U_4] :
( less(U_6,U_4)
| ~ less(U_5,U_4)
| ~ less(U_6,U_5) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( less(U_6,U_4)
| ~ less(U_5,U_4)
| ~ less(U_6,U_5) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [A] :
? [B] : less(A,B),
inference(fof_nnf,[status(thm)],[serial_less]) ).
fof(f_4_2,plain,
! [U_8] :
? [U_7] : less(U_8,U_7),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_8] : less(U_8,sK2(U_8)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_7,sK2(U_8))],[f_4_2]) ).
cnf(f_4_4,plain,
less(U_8,sK2(U_8)),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,negated_conjecture,
~ goal,
inference(negate,[status(cth)],[goal_to_be_proved]) ).
fof(f_5_2,negated_conjecture,
~ goal,
inference(definitional_conversion,[status(esa)],[f_5_1]) ).
cnf(f_5_3,negated_conjecture,
~ goal,
inference(clausify,[status(thm)],[f_5_2]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC012+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 16:20:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------