0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.9dwyDyjdQL
0.14/0.35	% Computer   : n021.cluster.edu
0.14/0.35	% Model      : x86_64 x86_64
0.14/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory     : 8042.1875MB
0.14/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 960
0.14/0.35	% DateTime   : Thu Jul  2 07:02:37 EDT 2020
0.14/0.35	% CPUTime    : 
0.14/0.35	% Running portfolio for 120 s
0.14/0.35	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.14/0.35	% Number of cores: 8
0.14/0.36	% Python version: Python 3.6.8
0.14/0.36	% Running in FO mode
0.52/0.75	% Running /export/starexec/sandbox/solver/bin/fo/fo7.sh for 25
0.52/0.75	% Solved by: fo/fo7.sh
0.52/0.75	To remain in the chosen logic fragment, unification with booleans has been disabled.
0.52/0.75	% done 743 iterations in 0.289s
0.52/0.75	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.52/0.75	% SZS output start Refutation
0.52/0.75	tff(modus_ponens_strict_implies, axiom,
0.52/0.75	  (modus_ponens_strict_implies <=>
0.52/0.75	   (![X,Y]:
0.52/0.75	      ((is_a_theorem(strict_implies(X,Y)) & is_a_theorem(X)) =>
0.52/0.75	       is_a_theorem(Y))))).
0.52/0.75	tff('0', plain, ( modus_ponens_strict_implies | ~ is_a_theorem(sk_Y_24)),
0.52/0.75	    inference('cnf', [status(esa)], [modus_ponens_strict_implies])).
0.52/0.75	tff('1', plain, (~ is_a_theorem(sk_Y_24)) <= (~ ( is_a_theorem(sk_Y_24))),
0.52/0.75	    inference('split', [status(esa)], ['0'])).
0.52/0.75	tff('2', plain, ( modus_ponens_strict_implies |  is_a_theorem(sk_X_34)),
0.52/0.75	    inference('cnf', [status(esa)], [modus_ponens_strict_implies])).
0.52/0.75	tff('3', plain,
0.52/0.75	    ( modus_ponens_strict_implies) <= (( modus_ponens_strict_implies)),
0.52/0.75	    inference('split', [status(esa)], ['2'])).
0.52/0.75	tff(s1_0_modus_ponens_strict_implies, conjecture,
0.52/0.75	  (modus_ponens_strict_implies)).
0.52/0.75	tff(zf_stmt_0, negated_conjecture, (~modus_ponens_strict_implies)).
0.52/0.75	tff('4', plain, ~ modus_ponens_strict_implies,
0.52/0.75	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.52/0.75	tff('5', plain, ~ ( modus_ponens_strict_implies),
0.52/0.75	    inference('sup-', [status(thm)], ['3', '4'])).
0.52/0.75	tff('6', plain, ~ ( is_a_theorem(sk_Y_24)) | ( modus_ponens_strict_implies),
0.52/0.75	    inference('split', [status(esa)], ['0'])).
0.52/0.75	tff('7', plain, ~ ( is_a_theorem(sk_Y_24)),
0.52/0.75	    inference('sat_resolution*', [status(thm)], ['5', '6'])).
0.52/0.75	tff('8', plain, ~ is_a_theorem(sk_Y_24),
0.52/0.75	    inference('simpl_trail', [status(thm)], ['1', '7'])).
0.52/0.75	tff('9', plain,
0.52/0.75	    ( modus_ponens_strict_implies
0.52/0.75	     |  is_a_theorem(strict_implies(sk_X_34, sk_Y_24))),
0.52/0.75	    inference('cnf', [status(esa)], [modus_ponens_strict_implies])).
0.52/0.75	tff('10', plain,
0.52/0.75	    ( is_a_theorem(strict_implies(sk_X_34, sk_Y_24)))
0.52/0.75	      <= (( is_a_theorem(strict_implies(sk_X_34, sk_Y_24)))),
0.52/0.75	    inference('split', [status(esa)], ['9'])).
0.52/0.75	tff('11', plain,
0.52/0.75	    ( is_a_theorem(strict_implies(sk_X_34, sk_Y_24))) | 
0.52/0.75	    ( modus_ponens_strict_implies), inference('split', [status(esa)], ['9'])).
0.52/0.75	tff('12', plain, ( is_a_theorem(strict_implies(sk_X_34, sk_Y_24))),
0.52/0.75	    inference('sat_resolution*', [status(thm)], ['5', '11'])).
0.52/0.75	tff('13', plain,  is_a_theorem(strict_implies(sk_X_34, sk_Y_24)),
0.52/0.75	    inference('simpl_trail', [status(thm)], ['10', '12'])).
0.52/0.75	tff(op_strict_implies, axiom,
0.52/0.75	  (op_strict_implies =>
0.52/0.75	   (![X,Y]: (necessarily(implies(X,Y)) = strict_implies(X,Y))))).
0.52/0.75	tff('14', plain,
0.52/0.75	    ![X105, X106]:
0.52/0.75	      (necessarily(implies(X105, X106)) = strict_implies(X105, X106)
0.52/0.75	       | ~ op_strict_implies),
0.52/0.75	    inference('cnf', [status(esa)], [op_strict_implies])).
0.52/0.75	tff('15', plain,
0.52/0.75	    (![X105, X106]:
0.52/0.75	       necessarily(implies(X105, X106)) = strict_implies(X105, X106))
0.52/0.75	      <= ((![X105, X106]:
0.52/0.75	             necessarily(implies(X105, X106)) = strict_implies(X105, X106))),
0.52/0.75	    inference('split', [status(esa)], ['14'])).
0.52/0.75	tff(s1_0_op_strict_implies, axiom, (op_strict_implies)).
0.52/0.75	tff('16', plain,  op_strict_implies,
0.52/0.75	    inference('cnf', [status(esa)], [s1_0_op_strict_implies])).
0.52/0.75	tff('17', plain, (~ op_strict_implies) <= (~ ( op_strict_implies)),
0.52/0.75	    inference('split', [status(esa)], ['14'])).
0.52/0.75	tff('18', plain, ( op_strict_implies),
0.52/0.75	    inference('sup-', [status(thm)], ['16', '17'])).
0.52/0.75	tff('19', plain,
0.52/0.75	    (![X105, X106]:
0.52/0.75	       necessarily(implies(X105, X106)) = strict_implies(X105, X106)) | 
0.52/0.75	    ~ ( op_strict_implies), inference('split', [status(esa)], ['14'])).
0.52/0.75	tff('20', plain,
0.52/0.75	    (![X105, X106]:
0.52/0.75	       necessarily(implies(X105, X106)) = strict_implies(X105, X106)),
0.52/0.75	    inference('sat_resolution*', [status(thm)], ['18', '19'])).
0.52/0.75	tff('21', plain,
0.52/0.75	    ![X105, X106]:
0.52/0.75	      necessarily(implies(X105, X106)) = strict_implies(X105, X106),
0.52/0.75	    inference('simpl_trail', [status(thm)], ['15', '20'])).
0.52/0.75	tff(axiom_M, axiom,
0.52/0.75	  ((![X]: is_a_theorem(implies(necessarily(X),X))) <=> axiom_M)).
0.52/0.75	tff('22', plain,
0.52/0.75	    ![X70]: ( is_a_theorem(implies(necessarily(X70), X70)) | ~ axiom_M),
0.52/0.75	    inference('cnf', [status(esa)], [axiom_M])).
0.52/0.75	tff('23', plain,
0.52/0.75	    (![X70]:  is_a_theorem(implies(necessarily(X70), X70)))
0.52/0.75	      <= ((![X70]:  is_a_theorem(implies(necessarily(X70), X70)))),
0.52/0.75	    inference('split', [status(esa)], ['22'])).
0.52/0.75	tff(km4b_axiom_M, axiom, (axiom_M)).
0.52/0.75	tff('24', plain,  axiom_M, inference('cnf', [status(esa)], [km4b_axiom_M])).
0.52/0.75	tff('25', plain, (~ axiom_M) <= (~ ( axiom_M)),
0.52/0.75	    inference('split', [status(esa)], ['22'])).
0.52/0.75	tff('26', plain, ( axiom_M), inference('sup-', [status(thm)], ['24', '25'])).
0.52/0.75	tff('27', plain,
0.52/0.75	    (![X70]:  is_a_theorem(implies(necessarily(X70), X70))) | ~ ( axiom_M),
0.52/0.75	    inference('split', [status(esa)], ['22'])).
0.52/0.75	tff('28', plain, (![X70]:  is_a_theorem(implies(necessarily(X70), X70))),
0.52/0.75	    inference('sat_resolution*', [status(thm)], ['26', '27'])).
0.52/0.75	tff('29', plain, ![X70]:  is_a_theorem(implies(necessarily(X70), X70)),
0.52/0.75	    inference('simpl_trail', [status(thm)], ['23', '28'])).
0.52/0.75	tff(modus_ponens, axiom,
0.52/0.75	  ((![X,Y]:
0.52/0.75	      ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y))) <=>
0.52/0.75	   modus_ponens)).
0.52/0.75	tff('30', plain,
0.52/0.75	    ![X48, X49]:
0.52/0.75	      ( is_a_theorem(X48)
0.52/0.75	       | ~ is_a_theorem(implies(X49, X48))
0.52/0.75	       | ~ is_a_theorem(X49)
0.52/0.75	       | ~ modus_ponens),
0.52/0.75	    inference('cnf', [status(esa)], [modus_ponens])).
0.52/0.75	tff('31', plain,
0.52/0.75	    (![X48, X49]:
0.52/0.75	       ( is_a_theorem(X48)
0.52/0.75	        | ~ is_a_theorem(implies(X49, X48))
0.52/0.75	        | ~ is_a_theorem(X49)))
0.52/0.75	      <= ((![X48, X49]:
0.52/0.75	             ( is_a_theorem(X48)
0.52/0.75	              | ~ is_a_theorem(implies(X49, X48))
0.52/0.75	              | ~ is_a_theorem(X49)))),
0.52/0.75	    inference('split', [status(esa)], ['30'])).
0.52/0.75	tff(hilbert_modus_ponens, axiom, (modus_ponens)).
0.52/0.75	tff('32', plain,  modus_ponens,
0.52/0.75	    inference('cnf', [status(esa)], [hilbert_modus_ponens])).
0.52/0.75	tff('33', plain, (~ modus_ponens) <= (~ ( modus_ponens)),
0.52/0.75	    inference('split', [status(esa)], ['30'])).
0.52/0.75	tff('34', plain, ( modus_ponens),
0.52/0.75	    inference('sup-', [status(thm)], ['32', '33'])).
0.52/0.75	tff('35', plain,
0.52/0.75	    (![X48, X49]:
0.52/0.75	       ( is_a_theorem(X48)
0.52/0.75	        | ~ is_a_theorem(implies(X49, X48))
0.52/0.75	        | ~ is_a_theorem(X49))) | 
0.52/0.75	    ~ ( modus_ponens), inference('split', [status(esa)], ['30'])).
0.52/0.75	tff('36', plain,
0.52/0.75	    (![X48, X49]:
0.52/0.75	       ( is_a_theorem(X48)
0.52/0.75	        | ~ is_a_theorem(implies(X49, X48))
0.52/0.75	        | ~ is_a_theorem(X49))),
0.52/0.75	    inference('sat_resolution*', [status(thm)], ['34', '35'])).
0.52/0.75	tff('37', plain,
0.52/0.75	    ![X48, X49]:
0.52/0.75	      ( is_a_theorem(X48)
0.52/0.75	       | ~ is_a_theorem(implies(X49, X48))
0.52/0.75	       | ~ is_a_theorem(X49)),
0.52/0.75	    inference('simpl_trail', [status(thm)], ['31', '36'])).
0.52/0.75	tff('38', plain,
0.52/0.75	    ![X0]: (~ is_a_theorem(necessarily(X0)) |  is_a_theorem(X0)),
0.52/0.75	    inference('sup-', [status(thm)], ['29', '37'])).
0.52/0.75	tff('39', plain,
0.52/0.75	    ![X0, X1]:
0.52/0.75	      (~ is_a_theorem(strict_implies(X1, X0))
0.52/0.75	       |  is_a_theorem(implies(X1, X0))),
0.52/0.75	    inference('sup-', [status(thm)], ['21', '38'])).
0.52/0.75	tff('40', plain,  is_a_theorem(implies(sk_X_34, sk_Y_24)),
0.52/0.75	    inference('sup-', [status(thm)], ['13', '39'])).
0.52/0.75	tff('41', plain,
0.52/0.75	    ![X48, X49]:
0.52/0.75	      ( is_a_theorem(X48)
0.52/0.75	       | ~ is_a_theorem(implies(X49, X48))
0.52/0.75	       | ~ is_a_theorem(X49)),
0.52/0.75	    inference('simpl_trail', [status(thm)], ['31', '36'])).
0.52/0.75	tff('42', plain, (~ is_a_theorem(sk_X_34) |  is_a_theorem(sk_Y_24)),
0.52/0.75	    inference('sup-', [status(thm)], ['40', '41'])).
0.52/0.75	tff('43', plain, ( is_a_theorem(sk_X_34)) <= (( is_a_theorem(sk_X_34))),
0.52/0.75	    inference('split', [status(esa)], ['2'])).
0.52/0.75	tff('44', plain, ( is_a_theorem(sk_X_34)) | ( modus_ponens_strict_implies),
0.52/0.75	    inference('split', [status(esa)], ['2'])).
0.52/0.75	tff('45', plain, ( is_a_theorem(sk_X_34)),
0.52/0.75	    inference('sat_resolution*', [status(thm)], ['5', '44'])).
0.52/0.75	tff('46', plain,  is_a_theorem(sk_X_34),
0.52/0.75	    inference('simpl_trail', [status(thm)], ['43', '45'])).
0.52/0.75	tff('47', plain,  is_a_theorem(sk_Y_24),
0.52/0.75	    inference('demod', [status(thm)], ['42', '46'])).
0.52/0.75	tff('48', plain, $false, inference('demod', [status(thm)], ['8', '47'])).
0.52/0.75	
0.52/0.75	% SZS output end Refutation
0.52/0.75	
0.52/0.76	% Zipperpin 1.5 exiting
0.52/0.76	EOF