%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : COM007+2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n006.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 08:14:43 AM UTC 2026
% Result : Theorem 202.81s 203.21s
% Output : Proof 204.00s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(assumption,axiom,
( reflexive_rewrite(a,c)
& reflexive_rewrite(a,b) ),
file('theBenchmark.p',assumption) ).
fof(goal_ax,axiom,
! [A] :
( ( reflexive_rewrite(c,A)
& reflexive_rewrite(b,A) )
=> goal ),
file('theBenchmark.p',goal_ax) ).
fof(equal_in_reflexive_rewrite,axiom,
! [A,B] :
( A = B
=> reflexive_rewrite(A,B) ),
file('theBenchmark.p',equal_in_reflexive_rewrite) ).
fof(rewrite_in_reflexive_rewrite,axiom,
! [A,B] :
( rewrite(A,B)
=> reflexive_rewrite(A,B) ),
file('theBenchmark.p',rewrite_in_reflexive_rewrite) ).
fof(equal_or_rewrite,axiom,
! [A,B] :
( reflexive_rewrite(A,B)
=> ( rewrite(A,B)
| A = B ) ),
file('theBenchmark.p',equal_or_rewrite) ).
fof(rewrite_diamond,axiom,
! [A,B,C] :
( ( rewrite(A,C)
& rewrite(A,B) )
=> ? [D] :
( rewrite(C,D)
& rewrite(B,D) ) ),
file('theBenchmark.p',rewrite_diamond) ).
fof(goal_to_be_proved,conjecture,
goal,
file('theBenchmark.p',goal_to_be_proved) ).
fof(f_1_1,plain,
( reflexive_rewrite(a,c)
& reflexive_rewrite(a,b) ),
inference(fof_nnf,[status(thm)],[assumption]) ).
cnf(f_1_2,plain,
reflexive_rewrite(a,b),
inference(clausify,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
reflexive_rewrite(a,c),
inference(clausify,[status(thm)],[f_1_1]) ).
fof(f_2_1,plain,
! [A] :
( goal
| ~ reflexive_rewrite(c,A)
| ~ reflexive_rewrite(b,A) ),
inference(fof_nnf,[status(thm)],[goal_ax]) ).
fof(f_2_2,plain,
! [U_0] :
( goal
| ~ reflexive_rewrite(c,U_0)
| ~ reflexive_rewrite(b,U_0) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_0] :
( ~ reflexive_rewrite(c,U_0)
| ~ reflexive_rewrite(b,U_0) )
| goal ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( ~ reflexive_rewrite(c,U_0)
| ~ reflexive_rewrite(b,U_0)
| goal ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A,B] :
( reflexive_rewrite(A,B)
| A != B ),
inference(fof_nnf,[status(thm)],[equal_in_reflexive_rewrite]) ).
fof(f_3_2,plain,
! [U_2,U_1] :
( reflexive_rewrite(U_2,U_1)
| U_2 != U_1 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( reflexive_rewrite(U_2,U_1)
| U_2 != U_1 ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [A,B] :
( reflexive_rewrite(A,B)
| ~ rewrite(A,B) ),
inference(fof_nnf,[status(thm)],[rewrite_in_reflexive_rewrite]) ).
fof(f_4_2,plain,
! [U_4,U_3] :
( reflexive_rewrite(U_4,U_3)
| ~ rewrite(U_4,U_3) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( reflexive_rewrite(U_4,U_3)
| ~ rewrite(U_4,U_3) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [A,B] :
( rewrite(A,B)
| A = B
| ~ reflexive_rewrite(A,B) ),
inference(fof_nnf,[status(thm)],[equal_or_rewrite]) ).
fof(f_5_2,plain,
! [U_6,U_5] :
( rewrite(U_6,U_5)
| U_6 = U_5
| ~ reflexive_rewrite(U_6,U_5) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( rewrite(U_6,U_5)
| U_6 = U_5
| ~ reflexive_rewrite(U_6,U_5) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [A,B,C] :
( ? [D] :
( rewrite(C,D)
& rewrite(B,D) )
| ~ rewrite(A,C)
| ~ rewrite(A,B) ),
inference(fof_nnf,[status(thm)],[rewrite_diamond]) ).
fof(f_6_2,plain,
! [U_10,U_9,U_8] :
( ? [U_7] :
( rewrite(U_8,U_7)
& rewrite(U_9,U_7) )
| ~ rewrite(U_10,U_8)
| ~ rewrite(U_10,U_9) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_10,U_9,U_8] :
( ( rewrite(U_8,sK1(U_10,U_9,U_8))
& rewrite(U_9,sK1(U_10,U_9,U_8)) )
| ~ rewrite(U_10,U_8)
| ~ rewrite(U_10,U_9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_7,sK1(U_10,U_9,U_8))],[f_6_2]) ).
cnf(f_6_4,plain,
( rewrite(U_9,sK1(U_10,U_9,U_8))
| ~ rewrite(U_10,U_8)
| ~ rewrite(U_10,U_9) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_5,plain,
( rewrite(U_8,sK1(U_10,U_9,U_8))
| ~ rewrite(U_10,U_8)
| ~ rewrite(U_10,U_9) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,negated_conjecture,
~ goal,
inference(negate,[status(cth)],[goal_to_be_proved]) ).
cnf(f_7_2,negated_conjecture,
~ goal,
inference(clausify,[status(thm)],[f_7_1]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( sK1(Eq_x_0,Eq_x_1,Eq_x_2) = sK1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( reflexive_rewrite(Eq_y_0,Eq_y_1)
| ~ reflexive_rewrite(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_6,axiom,
( rewrite(Eq_y_0,Eq_y_1)
| ~ rewrite(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COM007+2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n006.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 15:08:27 UTC 2026
% 0.17/0.43 % CPUTime :
% 202.81/203.21 % SZS status Theorem for theBenchmark
% 202.81/203.21 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------