%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX204-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EswWBgDf7d true
% 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 : Tue May 5 07:08:49 PM UTC 2026
% Result : Unsatisfiable 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX204-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EswWBgDf7d true
% 0.16/0.35 % Computer : n021.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue May 5 11:31:10 EDT 2026
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.55/0.67 % Total configuration time : 435
% 0.55/0.67 % Estimated wc time : 1092
% 0.55/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.77 % Solved by fo/fo3_bce.sh.
% 0.57/0.77 % BCE start: 13
% 0.57/0.77 % BCE eliminated: 0
% 0.57/0.77 % PE start: 13
% 0.57/0.77 logic: eq
% 0.57/0.77 % PE eliminated: 0
% 0.57/0.77 % done 21 iterations in 0.009s
% 0.57/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.77 % SZS output start Refutation
% 0.57/0.77 thf(btrue_type, type, btrue: $i).
% 0.57/0.77 thf(x22_type, type, x22: $i > $i > $i).
% 0.57/0.77 thf(eq_type, type, eq: $i > $i > $i).
% 0.57/0.77 thf(z_type, type, z: $i).
% 0.57/0.77 thf(x2_type, type, x2: $i > $i > $i).
% 0.57/0.77 thf(s_type, type, s: $i > $i).
% 0.57/0.77 thf(eq2_type, type, eq2: $i > $i > $i).
% 0.57/0.77 thf(mul_idem_type, type, mul_idem: $i > $i).
% 0.57/0.77 thf(bfalse_type, type, bfalse: $i).
% 0.57/0.77 thf(axiom, axiom, (( x2 @ z @ Y ) = ( Y ))).
% 0.57/0.77 thf(zip_derived_cl0, plain, (![X0 : $i]: ((x2 @ z @ X0) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom])).
% 0.57/0.77 thf(axiom_001, axiom, (( x2 @ ( s @ N ) @ Y ) = ( s @ ( x2 @ N @ Y ) ))).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]: ((x2 @ (s @ X0) @ X1) = (s @ (x2 @ X0 @ X1)))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_001])).
% 0.57/0.77 thf(axiom_003, axiom,
% 0.57/0.77 (( x22 @ ( s @ N ) @ Y ) = ( x2 @ Y @ ( x22 @ N @ Y ) ))).
% 0.57/0.77 thf(zip_derived_cl3, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((x22 @ (s @ X1) @ X0) = (x2 @ X0 @ (x22 @ X1 @ X0)))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_003])).
% 0.57/0.77 thf(axiom_004, axiom, (( mul_idem @ X ) = ( eq @ ( x22 @ X @ X ) @ X ))).
% 0.57/0.77 thf(zip_derived_cl4, plain,
% 0.57/0.77 (![X0 : $i]: ((mul_idem @ X0) = (eq @ (x22 @ X0 @ X0) @ X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_004])).
% 0.57/0.77 thf(zip_derived_cl18, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((mul_idem @ (s @ X0))
% 0.57/0.77 = (eq @ (x2 @ (s @ X0) @ (x22 @ X0 @ (s @ X0))) @ (s @ X0)))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]: ((x2 @ (s @ X0) @ X1) = (s @ (x2 @ X0 @ X1)))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_001])).
% 0.57/0.77 thf(axiom_007, axiom, (( eq @ ( s @ X ) @ ( s @ Y ) ) = ( eq @ X @ Y ))).
% 0.57/0.77 thf(zip_derived_cl7, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]: ((eq @ (s @ X0) @ (s @ X1)) = (eq @ X0 @ X1))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_007])).
% 0.57/0.77 thf(zip_derived_cl19, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((mul_idem @ (s @ X0)) = (eq @ (x2 @ X0 @ (x22 @ X0 @ (s @ X0))) @ X0))),
% 0.57/0.77 inference('demod', [status(thm)],
% 0.57/0.77 [zip_derived_cl18, zip_derived_cl1, zip_derived_cl7])).
% 0.57/0.77 thf(zip_derived_cl21, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((mul_idem @ (s @ (s @ X0)))
% 0.57/0.77 = (eq @ (s @ (x2 @ X0 @ (x22 @ (s @ X0) @ (s @ (s @ X0))))) @
% 0.57/0.77 (s @ X0)))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl19])).
% 0.57/0.77 thf(zip_derived_cl3, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((x22 @ (s @ X1) @ X0) = (x2 @ X0 @ (x22 @ X1 @ X0)))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_003])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]: ((x2 @ (s @ X0) @ X1) = (s @ (x2 @ X0 @ X1)))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_001])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]: ((x2 @ (s @ X0) @ X1) = (s @ (x2 @ X0 @ X1)))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_001])).
% 0.57/0.77 thf(zip_derived_cl7, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]: ((eq @ (s @ X0) @ (s @ X1)) = (eq @ X0 @ X1))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_007])).
% 0.57/0.77 thf(zip_derived_cl25, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((mul_idem @ (s @ (s @ X0)))
% 0.57/0.77 = (eq @
% 0.57/0.77 (x2 @ X0 @ (s @ (s @ (x2 @ X0 @ (x22 @ X0 @ (s @ (s @ X0))))))) @
% 0.57/0.77 X0))),
% 0.57/0.77 inference('demod', [status(thm)],
% 0.57/0.77 [zip_derived_cl21, zip_derived_cl3, zip_derived_cl1,
% 0.57/0.77 zip_derived_cl1, zip_derived_cl7])).
% 0.57/0.77 thf(zip_derived_cl30, plain,
% 0.57/0.77 (((mul_idem @ (s @ (s @ z)))
% 0.57/0.77 = (eq @ (s @ (s @ (x2 @ z @ (x22 @ z @ (s @ (s @ z)))))) @ z))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl25])).
% 0.57/0.77 thf(axiom_002, axiom, (( x22 @ z @ Y ) = ( z ))).
% 0.57/0.77 thf(zip_derived_cl2, plain, (![X0 : $i]: ((x22 @ z @ X0) = (z))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_002])).
% 0.57/0.77 thf(zip_derived_cl0, plain, (![X0 : $i]: ((x2 @ z @ X0) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom])).
% 0.57/0.77 thf(axiom_009, axiom, (( eq @ ( s @ X ) @ z ) = ( bfalse ))).
% 0.57/0.77 thf(zip_derived_cl9, plain, (![X0 : $i]: ((eq @ (s @ X0) @ z) = (bfalse))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_009])).
% 0.57/0.77 thf(zip_derived_cl36, plain, (((mul_idem @ (s @ (s @ z))) = (bfalse))),
% 0.57/0.77 inference('demod', [status(thm)],
% 0.57/0.77 [zip_derived_cl30, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.77 zip_derived_cl9])).
% 0.57/0.77 thf(goal, conjecture, (( eq2 @ ( mul_idem @ X ) @ bfalse ) = ( btrue ))).
% 0.57/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.77 (( eq2 @ ( mul_idem @ X ) @ bfalse ) != ( btrue )),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [goal])).
% 0.57/0.77 thf(zip_derived_cl12, plain,
% 0.57/0.77 (![X0 : $i]: ((eq2 @ (mul_idem @ X0) @ bfalse) != (btrue))),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.77 thf(zip_derived_cl42, plain, (((eq2 @ bfalse @ bfalse) != (btrue))),
% 0.57/0.77 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl12])).
% 0.57/0.77 thf(axiom_011, axiom, (( eq2 @ X @ X ) = ( btrue ))).
% 0.57/0.77 thf(zip_derived_cl11, plain, (![X0 : $i]: ((eq2 @ X0 @ X0) = (btrue))),
% 0.57/0.77 inference('cnf', [status(esa)], [axiom_011])).
% 0.57/0.77 thf(zip_derived_cl43, plain, (((btrue) != (btrue))),
% 0.57/0.77 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl11])).
% 0.57/0.77 thf(zip_derived_cl44, plain, ($false),
% 0.57/0.77 inference('simplify', [status(thm)], [zip_derived_cl43])).
% 0.57/0.77
% 0.57/0.77 % SZS output end Refutation
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 % Terminating...
% 0.59/0.87 % Runner terminated.
% 0.59/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------