%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG036+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 09:45:45 AM UTC 2025
% Result : Theorem 16.76s 2.50s
% Output : CNFRefutation 16.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 88 ( 1 unt; 0 def)
% Number of atoms : 285 ( 200 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 328 ( 131 ~; 149 |; 48 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(112,plain,
( op(e2,e2) != e0
| op(e3,e3) != e0
| op(e0,e0) != e0
| op(e1,e1) != e0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( op(e2,e2) != e0
| op(e3,e3) != e0
| op(e0,e0) != e0
| op(e1,e1) != e0 ),
inference(instantiation,[status(thm)],[112]) ).
cnf(117,plain,
( op(e1,e1) = e0
| sP0
| sP1
| sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l9,plain,
( op(e1,e1) = e0
| sP0
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[117]) ).
cnf(129,plain,
( op(e2,e2) = e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l18,plain,
( op(e2,e2) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[129]) ).
cnf(121,plain,
( op(e2,e2) = e3
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l84,plain,
( op(e2,e2) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[121]) ).
cnf(126,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l16,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[126]) ).
cnf(118,plain,
( op(e2,e2) = e0
| sP0
| sP1
| sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l3,plain,
( op(e2,e2) = e0
| sP0
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[118]) ).
cnf(114,plain,
( op(e2,e2) != e2
| op(e3,e3) != e2
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l240,plain,
( op(e2,e2) != e2
| op(e3,e3) != e2
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(instantiation,[status(thm)],[114]) ).
cnf(124,plain,
( op(e3,e3) = e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l241,plain,
( op(e3,e3) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[124]) ).
cnf(128,plain,
( op(e3,e3) = e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l4,plain,
( op(e3,e3) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[128]) ).
cnf(125,plain,
( op(e2,e2) = e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l242,plain,
( op(e2,e2) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[125]) ).
cnf(120,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l11,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[120]) ).
cnf(113,plain,
( op(e2,e2) != e1
| op(e3,e3) != e1
| op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l36,plain,
( op(e2,e2) != e1
| op(e3,e3) != e1
| op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(instantiation,[status(thm)],[113]) ).
cnf(l13,plain,
( op(e3,e3) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[124]) ).
cnf(l106,plain,
( op(e2,e2) != e1
| op(e3,e3) != e1
| op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(instantiation,[status(thm)],[113]) ).
cnf(130,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l124,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[130]) ).
cnf(115,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3
| op(e0,e0) != e3
| op(e1,e1) != e3 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l215,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3
| op(e0,e0) != e3
| op(e1,e1) != e3 ),
inference(instantiation,[status(thm)],[115]) ).
cnf(119,plain,
( op(e3,e3) = e0
| sP0
| sP1
| sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
( op(e3,e3) = e0
| sP0
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[119]) ).
cnf(l403,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[120]) ).
cnf(l116,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3
| op(e0,e0) != e3
| op(e1,e1) != e3 ),
inference(instantiation,[status(thm)],[115]) ).
cnf(116,plain,
( op(e0,e0) = e0
| sP0
| sP1
| sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l5,plain,
( op(e0,e0) = e0
| sP0
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[116]) ).
cnf(l6,plain,
( op(e2,e2) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[129]) ).
cnf(l137,plain,
( op(e2,e2) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[121]) ).
cnf(l39,plain,
( op(e2,e2) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[121]) ).
cnf(123,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l14,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[123]) ).
cnf(l10,plain,
( op(e3,e3) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[128]) ).
cnf(122,plain,
( op(e1,e1) = e3
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l138,plain,
( op(e1,e1) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[122]) ).
cnf(l28,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3
| op(e0,e0) != e3
| op(e1,e1) != e3 ),
inference(instantiation,[status(thm)],[115]) ).
cnf(l42,plain,
( op(e2,e2) != e1
| op(e3,e3) != e1
| op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(instantiation,[status(thm)],[113]) ).
cnf(l118,plain,
( op(e2,e2) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[129]) ).
cnf(l7,plain,
( op(e2,e2) != e1
| op(e3,e3) != e1
| op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(instantiation,[status(thm)],[113]) ).
cnf(131,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l185,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[131]) ).
cnf(l314,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[131]) ).
cnf(l50,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[130]) ).
cnf(l821,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[123]) ).
cnf(l40,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[126]) ).
cnf(l899,plain,
( op(e1,e1) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[122]) ).
cnf(l43,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[120]) ).
cnf(l119,plain,
( op(e2,e2) != e2
| op(e3,e3) != e2
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(instantiation,[status(thm)],[114]) ).
cnf(127,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l130,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[127]) ).
cnf(l32,plain,
( op(e3,e3) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[128]) ).
cnf(l41,plain,
( op(e2,e2) != e2
| op(e3,e3) != e2
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(instantiation,[status(thm)],[114]) ).
cnf(l133,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[126]) ).
cnf(l44,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3
| op(e0,e0) != e3
| op(e1,e1) != e3 ),
inference(instantiation,[status(thm)],[115]) ).
cnf(l239,plain,
( op(e1,e1) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[122]) ).
cnf(l323,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[130]) ).
cnf(l313,plain,
( op(e3,e3) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[128]) ).
cnf(l200,plain,
( op(e2,e2) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[125]) ).
cnf(l963,plain,
( op(e3,e3) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[124]) ).
cnf(l964,plain,
( op(e2,e2) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[129]) ).
cnf(l47,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[131]) ).
cnf(l171,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[120]) ).
cnf(l37,plain,
( op(e2,e2) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[125]) ).
cnf(l820,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[123]) ).
cnf(l169,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[123]) ).
cnf(l46,plain,
( op(e2,e2) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[125]) ).
cnf(l308,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[127]) ).
cnf(l132,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[131]) ).
cnf(l157,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[130]) ).
cnf(l45,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[127]) ).
cnf(l78,plain,
( op(e2,e2) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[121]) ).
cnf(l38,plain,
( op(e2,e2) != e2
| op(e3,e3) != e2
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(instantiation,[status(thm)],[114]) ).
cnf(l1560,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[126]) ).
cnf(l340,plain,
( op(e1,e1) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[122]) ).
cnf(l838,plain,
( op(e3,e3) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[124]) ).
cnf(l847,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[127]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l9,l18,l84,l16,l3,l240,l241,l4,l242,l11,l36,l13,l106,l124,l215,l1,l403,l116,l5,l6,l137,l39,l14,l10,l138,l28,l42,l118,l7,l185,l314,l50,l821,l40,l899,l43,l119,l130,l32,l41,l133,l44,l239,l323,l313,l200,l963,l964,l47,l171,l37,l820,l169,l46,l308,l132,l157,l45,l78,l38,l1560,l340,l838,l847]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG036+1 : TPTP v9.0.0. Released v2.7.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 02:01:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 2
% 16.76/2.50 % SZS status Theorem for theBenchmark
% 16.76/2.50 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------