%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COM007+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 10:54:54 AM UTC 2025
% Result : Theorem 71.81s 9.35s
% Output : CNFRefutation 71.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 21 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 127 ( 56 ~; 59 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 16 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goal_to_be_proved,plain,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(goal_to_be_proved_negated,plain,
~ goal,
inference(negate_conjecture,[status(cth)],[goal_to_be_proved]) ).
cnf(11,plain,
~ goal,
inference(cnf,[status(esa)],[goal_to_be_proved_negated]) ).
cnf(l0,plain,
~ goal,
inference(instantiation,[status(thm)],[11]) ).
fof(goal_ax,plain,
! [A] :
( ( reflexive_rewrite(b,A)
& reflexive_rewrite(c,A) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_ax) ).
cnf(2,plain,
( ~ reflexive_rewrite(b,X0)
| ~ reflexive_rewrite(c,X0)
| goal ),
inference(cnf,[status(esa)],[goal_ax]) ).
cnf(l1,plain,
( ~ reflexive_rewrite(b,sK1(a,b,c))
| ~ reflexive_rewrite(c,sK1(a,b,c))
| goal ),
inference(instantiation,[status(thm)],[2]) ).
fof(rewrite_in_reflexive_rewrite,plain,
! [A,B] :
( rewrite(A,B)
=> reflexive_rewrite(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).
cnf(7,plain,
( ~ rewrite(X0,X1)
| reflexive_rewrite(X0,X1) ),
inference(cnf,[status(esa)],[rewrite_in_reflexive_rewrite]) ).
cnf(l4,plain,
( ~ rewrite(c,sK1(a,b,c))
| reflexive_rewrite(c,sK1(a,b,c)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l2,plain,
( ~ rewrite(b,sK1(a,b,c))
| reflexive_rewrite(b,sK1(a,b,c)) ),
inference(instantiation,[status(thm)],[7]) ).
fof(rewrite_diamond,plain,
! [A,B,C] :
( ( rewrite(A,B)
& rewrite(A,C) )
=> ? [D] :
( rewrite(B,D)
& rewrite(C,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_diamond) ).
cnf(10,plain,
( ~ rewrite(X0,X1)
| ~ rewrite(X0,X2)
| rewrite(X2,sK1(X0,X1,X2)) ),
inference(cnf,[status(esa)],[rewrite_diamond]) ).
cnf(l7,plain,
( ~ rewrite(a,b)
| ~ rewrite(a,c)
| rewrite(c,sK1(a,b,c)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(9,plain,
( ~ rewrite(X0,X1)
| ~ rewrite(X0,X2)
| rewrite(X1,sK1(X0,X1,X2)) ),
inference(cnf,[status(esa)],[rewrite_diamond]) ).
cnf(l3,plain,
( ~ rewrite(a,b)
| ~ rewrite(a,c)
| rewrite(b,sK1(a,b,c)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(equalish_or_rewrite,plain,
! [A,B] :
( reflexive_rewrite(A,B)
=> ( equalish(A,B)
| rewrite(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite) ).
cnf(8,plain,
( ~ reflexive_rewrite(X0,X1)
| equalish(X0,X1)
| rewrite(X0,X1) ),
inference(cnf,[status(esa)],[equalish_or_rewrite]) ).
cnf(l21,plain,
( ~ reflexive_rewrite(a,b)
| equalish(a,b)
| rewrite(a,b) ),
inference(instantiation,[status(thm)],[8]) ).
fof(symmtery,plain,
! [A,B] :
( equalish(A,B)
=> equalish(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmtery) ).
cnf(4,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmtery]) ).
cnf(l57,plain,
( ~ equalish(a,b)
| equalish(b,a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l15,plain,
( ~ reflexive_rewrite(a,c)
| equalish(a,c)
| rewrite(a,c) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l13,plain,
( ~ reflexive_rewrite(a,b)
| equalish(a,b)
| rewrite(a,b) ),
inference(instantiation,[status(thm)],[8]) ).
fof(assumption,plain,
( reflexive_rewrite(a,b)
& reflexive_rewrite(a,c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption) ).
cnf(0,plain,
reflexive_rewrite(a,b),
inference(cnf,[status(esa)],[assumption]) ).
cnf(l34,plain,
reflexive_rewrite(a,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(l17,plain,
( ~ equalish(a,b)
| equalish(b,a) ),
inference(instantiation,[status(thm)],[4]) ).
fof(substitution,plain,
! [A,B,C] :
( ( equalish(A,B)
& reflexive_rewrite(B,C) )
=> reflexive_rewrite(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution) ).
cnf(5,plain,
( ~ reflexive_rewrite(X0,X1)
| ~ equalish(X2,X0)
| reflexive_rewrite(X2,X1) ),
inference(cnf,[status(esa)],[substitution]) ).
cnf(l26,plain,
( ~ reflexive_rewrite(a,c)
| ~ equalish(b,a)
| reflexive_rewrite(b,c) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l29,plain,
reflexive_rewrite(a,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(l216,plain,
( ~ reflexive_rewrite(c,b)
| ~ equalish(a,c)
| reflexive_rewrite(a,b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l270,plain,
( ~ reflexive_rewrite(b,c)
| ~ reflexive_rewrite(c,c)
| goal ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
reflexive_rewrite(a,c),
inference(cnf,[status(esa)],[assumption]) ).
cnf(l27,plain,
reflexive_rewrite(a,c),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ reflexive_rewrite(a,c)
| equalish(a,c)
| rewrite(a,c) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l205,plain,
( ~ reflexive_rewrite(a,c)
| ~ equalish(b,a)
| reflexive_rewrite(b,c) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l263,plain,
reflexive_rewrite(a,c),
inference(instantiation,[status(thm)],[1]) ).
cnf(l11,plain,
( ~ equalish(a,c)
| equalish(c,a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l234,plain,
( ~ reflexive_rewrite(a,b)
| ~ equalish(c,a)
| reflexive_rewrite(c,b) ),
inference(instantiation,[status(thm)],[5]) ).
fof(equalish_in_reflexive_rewrite,plain,
! [A,B] :
( equalish(A,B)
=> reflexive_rewrite(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_in_reflexive_rewrite) ).
cnf(6,plain,
( ~ equalish(X0,X1)
| reflexive_rewrite(X0,X1) ),
inference(cnf,[status(esa)],[equalish_in_reflexive_rewrite]) ).
cnf(l273,plain,
( ~ equalish(c,c)
| reflexive_rewrite(c,c) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l6,plain,
reflexive_rewrite(a,c),
inference(instantiation,[status(thm)],[1]) ).
cnf(l235,plain,
( ~ reflexive_rewrite(b,b)
| ~ reflexive_rewrite(c,b)
| goal ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l1180,plain,
( ~ reflexive_rewrite(b,c)
| ~ reflexive_rewrite(c,c)
| goal ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l232,plain,
( ~ reflexive_rewrite(a,b)
| ~ equalish(c,a)
| reflexive_rewrite(c,b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l1471,plain,
( ~ equalish(b,b)
| reflexive_rewrite(b,b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1459,plain,
( ~ equalish(a,c)
| equalish(c,a) ),
inference(instantiation,[status(thm)],[4]) ).
fof(reflexivity,plain,
! [A] : equalish(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
cnf(3,plain,
equalish(X0,X0),
inference(cnf,[status(esa)],[reflexivity]) ).
cnf(l1192,plain,
equalish(c,c),
inference(instantiation,[status(thm)],[3]) ).
cnf(l1189,plain,
( ~ equalish(c,c)
| reflexive_rewrite(c,c) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1503,plain,
equalish(b,b),
inference(instantiation,[status(thm)],[3]) ).
cnf(l1342,plain,
equalish(c,c),
inference(instantiation,[status(thm)],[3]) ).
cnf(l1117,plain,
reflexive_rewrite(a,c),
inference(instantiation,[status(thm)],[1]) ).
cnf(l260,plain,
( ~ equalish(a,c)
| equalish(c,a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l19,plain,
( ~ reflexive_rewrite(a,b)
| ~ equalish(c,a)
| reflexive_rewrite(c,b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l218,plain,
reflexive_rewrite(a,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(l233,plain,
reflexive_rewrite(a,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(l92,plain,
( ~ reflexive_rewrite(b,b)
| ~ reflexive_rewrite(c,b)
| goal ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l702,plain,
( ~ equalish(b,b)
| reflexive_rewrite(b,b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l705,plain,
equalish(b,b),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l7,l3,l21,l57,l15,l13,l34,l17,l26,l29,l216,l270,l27,l5,l205,l263,l11,l234,l273,l6,l235,l1180,l232,l1471,l1459,l1192,l1189,l1503,l1342,l1117,l260,l19,l218,l233,l92,l702,l705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM007+1 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 06:07:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.12/0.35 % launching worker at depth: 12
% 0.12/0.36 % launching worker at depth: 13
% 0.18/0.41 % launching worker at depth: 14
% 2.92/0.74 % launching worker at depth: 15
% 18.44/2.64 % launching worker at depth: 16
% 71.81/9.35 % SZS status Theorem for theBenchmark
% 71.81/9.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------