%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PUZ021-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 : Fri Jul 25 01:24:27 PM UTC 2025
% Result : Unsatisfiable 95.47s 12.39s
% Output : CNFRefutation 95.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_statement_exists1)
% Comments :
%------------------------------------------------------------------------------
cnf(11,plain,
( ~ says(me,X0)
| ~ a_truth(and(knave(me),rich(me)),X0) ),
inference(cnf,[status(esa)],[prove_statement_exists1]) ).
cnf(l0,plain,
( ~ says(me,and(knave(me),knave(me)))
| ~ a_truth(and(knave(me),rich(me)),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(9,plain,
( ~ a_truth(and(X0,X1),X2)
| a_truth(X1,X2) ),
inference(cnf,[status(esa)],[conjunction2]) ).
cnf(l2,plain,
( ~ a_truth(and(X0_2,and(knave(me),rich(me))),and(knave(me),knave(me)))
| a_truth(and(knave(me),rich(me)),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(12,plain,
( says(me,X0)
| a_truth(and(knave(me),rich(me)),X0) ),
inference(cnf,[status(esa)],[prove_statement_exists2]) ).
cnf(l1,plain,
( says(me,and(knave(me),knave(me)))
| a_truth(and(knave(me),rich(me)),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(6,plain,
( ~ says(X0,X1)
| ~ a_truth(X1,X2)
| ~ a_truth(knave(X0),X2) ),
inference(cnf,[status(esa)],[knaves_lie1]) ).
cnf(l124,plain,
( ~ says(me,and(knave(me),rich(me)))
| ~ a_truth(and(knave(me),rich(me)),and(knave(me),knave(me)))
| ~ a_truth(knave(me),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l5,plain,
( ~ a_truth(and(X0_5,and(X0_2,and(knave(me),rich(me)))),and(knave(me),knave(me)))
| a_truth(and(X0_2,and(knave(me),rich(me))),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(4,plain,
( ~ says(X0,X1)
| ~ a_truth(knight(X0),X2)
| a_truth(X1,X2) ),
inference(cnf,[status(esa)],[knights_tell_truth1]) ).
cnf(l139,plain,
( ~ says(me,and(X0_5,and(X0_2,and(knave(me),rich(me)))))
| ~ a_truth(knight(me),and(knave(me),knave(me)))
| a_truth(and(X0_5,and(X0_2,and(knave(me),rich(me)))),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l272,plain,
( ~ a_truth(and(knight(me),knave(me)),and(knave(me),knave(me)))
| a_truth(knave(me),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(1,plain,
( a_truth(knight(X0),X1)
| a_truth(knave(X0),X1) ),
inference(cnf,[status(esa)],[knight_or_knave]) ).
cnf(l144,plain,
( a_truth(knight(me),and(knave(me),knave(me)))
| a_truth(knave(me),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(10,plain,
( ~ a_truth(X0,X1)
| ~ a_truth(X2,X1)
| a_truth(and(X0,X2),X1) ),
inference(cnf,[status(esa)],[conjunction3]) ).
cnf(l145,plain,
( ~ a_truth(knave(me),and(knave(me),knave(me)))
| ~ a_truth(knave(me),and(knave(me),knave(me)))
| a_truth(and(knave(me),knave(me)),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l214,plain,
( ~ says(me,and(knave(me),knave(me)))
| ~ a_truth(and(knave(me),knave(me)),and(knave(me),knave(me)))
| ~ a_truth(knave(me),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l438,plain,
( ~ says(me,and(knight(me),knave(me)))
| ~ a_truth(knight(me),and(knave(me),knave(me)))
| a_truth(and(knight(me),knave(me)),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l224,plain,
( says(me,and(knave(me),knave(me)))
| a_truth(and(knave(me),rich(me)),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(7,plain,
( ~ a_truth(knave(X0),X1)
| says(X0,X2)
| a_truth(X2,X1) ),
inference(cnf,[status(esa)],[knaves_lie2]) ).
cnf(l141,plain,
( ~ a_truth(knave(me),and(knave(me),knave(me)))
| says(me,and(X0_5,and(X0_2,and(knave(me),rich(me)))))
| a_truth(and(X0_5,and(X0_2,and(knave(me),rich(me)))),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(5,plain,
( ~ a_truth(X0,X1)
| ~ a_truth(knight(X2),X1)
| says(X2,X0) ),
inference(cnf,[status(esa)],[knights_tell_truth2]) ).
cnf(l427,plain,
( ~ a_truth(and(knave(me),rich(me)),and(knight(me),knave(me)))
| ~ a_truth(knight(me),and(knight(me),knave(me)))
| says(me,and(knave(me),rich(me))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l147,plain,
( a_truth(knight(me),and(knave(me),knave(me)))
| a_truth(knave(me),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l439,plain,
( ~ a_truth(knave(me),and(knight(me),knave(me)))
| says(me,and(knight(me),knave(me)))
| a_truth(and(knight(me),knave(me)),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
( ~ a_truth(and(X0,X1),X2)
| a_truth(X0,X2) ),
inference(cnf,[status(esa)],[conjunction1]) ).
cnf(l440,plain,
( ~ a_truth(and(knave(me),rich(me)),and(knight(me),knave(me)))
| a_truth(knave(me),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l952,plain,
( a_truth(knight(me),and(knave(me),knave(me)))
| a_truth(knave(me),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l809,plain,
( says(me,and(knight(me),knave(me)))
| a_truth(and(knave(me),rich(me)),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l148,plain,
( ~ says(me,and(knave(me),knave(me)))
| ~ a_truth(knight(me),and(knave(me),knave(me)))
| a_truth(and(knave(me),knave(me)),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l428,plain,
( a_truth(knight(me),and(knight(me),knave(me)))
| a_truth(knave(me),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l202,plain,
( ~ a_truth(and(knave(me),knave(me)),and(knave(me),knave(me)))
| a_truth(knave(me),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l149,plain,
( says(me,and(knave(me),knave(me)))
| a_truth(and(knave(me),rich(me)),and(knave(me),knave(me))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l447,plain,
( ~ a_truth(knave(me),and(knight(me),knave(me)))
| says(me,and(knave(me),rich(me)))
| a_truth(and(knave(me),rich(me)),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l964,plain,
( ~ a_truth(and(knight(me),knave(me)),and(knight(me),knave(me)))
| ~ a_truth(knight(me),and(knight(me),knave(me)))
| says(me,and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l965,plain,
( ~ a_truth(and(knight(me),knave(me)),and(knight(me),knave(me)))
| a_truth(knight(me),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l449,plain,
( ~ a_truth(knave(me),and(knight(me),knave(me)))
| says(me,and(knight(me),knave(me)))
| a_truth(and(knight(me),knave(me)),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l621,plain,
( ~ says(me,and(knight(me),knave(me)))
| ~ a_truth(and(knave(me),rich(me)),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l633,plain,
( ~ a_truth(knave(me),and(knight(me),knave(me)))
| says(me,and(knave(me),rich(me)))
| a_truth(and(knave(me),rich(me)),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l620,plain,
( ~ a_truth(and(knight(me),knave(me)),and(knight(me),knave(me)))
| a_truth(knight(me),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l448,plain,
( a_truth(knight(me),and(knight(me),knave(me)))
| a_truth(knave(me),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l450,plain,
( ~ says(me,and(knight(me),knave(me)))
| ~ a_truth(knight(me),and(knight(me),knave(me)))
| a_truth(and(knight(me),knave(me)),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l453,plain,
( says(me,and(knight(me),knave(me)))
| a_truth(and(knave(me),rich(me)),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l493,plain,
( ~ a_truth(and(knight(me),knave(me)),and(knight(me),knave(me)))
| a_truth(knave(me),and(knight(me),knave(me))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l124,l5,l139,l272,l144,l145,l214,l438,l224,l141,l427,l147,l439,l440,l952,l809,l148,l428,l202,l149,l447,l964,l965,l449,l621,l633,l620,l448,l450,l453,l493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ021-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.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 : Mon Jul 21 15:50:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.39 % launching worker at depth: 11
% 10.80/1.72 % launching worker at depth: 12
% 95.47/12.39 % SZS status Theorem for theBenchmark
% 95.47/12.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------