%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO691-1.000 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0Ku4JbF7uy true
% Computer : n018.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 Oct 2 05:08:09 PM UTC 2025
% Result : Unsatisfiable 0.48s 0.84s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO691-1.000 : TPTP v9.2.0. Released v7.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0Ku4JbF7uy true
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8042.1875MB
% 0.09/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Wed Oct 1 17:56:23 EDT 2025
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Running portfolio for 300 s
% 0.09/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Number of cores: 8
% 0.09/0.34 % Python version: Python 3.6.8
% 0.09/0.34 % Running in FO mode
% 0.46/0.64 % Total configuration time : 435
% 0.46/0.64 % Estimated wc time : 1092
% 0.46/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.84 % Solved by fo/fo13.sh.
% 0.48/0.84 % done 15 iterations in 0.026s
% 0.48/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.84 % SZS output start Refutation
% 0.48/0.84 thf(succ_type, type, succ: $i > $i).
% 0.48/0.84 thf(a_type, type, a: $i).
% 0.48/0.84 thf(f_type, type, f: $i > $i > $i).
% 0.48/0.84 thf(top_type, type, top: $i > $i > $o).
% 0.48/0.84 thf(seq_type, type, seq: $i > $i > $i > $o).
% 0.48/0.84 thf(zero_type, type, zero: $i).
% 0.48/0.84 thf(step_type, type, step: $i > $i > $o).
% 0.48/0.84 thf(rule_1, axiom,
% 0.48/0.84 (top @
% 0.48/0.84 ( f @ ( f @ Z @ Y ) @ ( f @ X @ a ) ) @
% 0.48/0.84 ( f @ ( f @ X @ ( f @ Y @ a ) ) @ Z ))).
% 0.48/0.84 thf(zip_derived_cl0, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.84 (top @ (f @ (f @ X0 @ X1) @ (f @ X2 @ a)) @
% 0.48/0.84 (f @ (f @ X2 @ (f @ X1 @ a)) @ X0))),
% 0.48/0.84 inference('cnf', [status(esa)], [rule_1])).
% 0.48/0.84 thf(rewrite_top, axiom, (( ~( top @ X @ Y ) ) | ( step @ X @ Y ))).
% 0.48/0.84 thf(zip_derived_cl2, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i]: (~ (top @ X0 @ X1) | (step @ X0 @ X1))),
% 0.48/0.84 inference('cnf', [status(esa)], [rewrite_top])).
% 0.48/0.84 thf(zip_derived_cl8, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.84 (step @ (f @ (f @ X0 @ X1) @ (f @ X2 @ a)) @
% 0.48/0.84 (f @ (f @ X2 @ (f @ X1 @ a)) @ X0))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.48/0.84 thf(rewrite_left, axiom,
% 0.48/0.84 (( ~( step @ X @ Y ) ) | ( step @ ( f @ X @ Z ) @ ( f @ Y @ Z ) ))).
% 0.48/0.84 thf(zip_derived_cl3, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.84 (~ (step @ X0 @ X1) | (step @ (f @ X0 @ X2) @ (f @ X1 @ X2)))),
% 0.48/0.84 inference('cnf', [status(esa)], [rewrite_left])).
% 0.48/0.84 thf(zip_derived_cl9, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.84 (step @ (f @ (f @ (f @ X0 @ X1) @ (f @ X2 @ a)) @ X3) @
% 0.48/0.84 (f @ (f @ (f @ X2 @ (f @ X1 @ a)) @ X0) @ X3))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 0.48/0.84 thf(zip_derived_cl8, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.84 (step @ (f @ (f @ X0 @ X1) @ (f @ X2 @ a)) @
% 0.48/0.84 (f @ (f @ X2 @ (f @ X1 @ a)) @ X0))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.48/0.84 thf(rewrite_sequence_zero, axiom, (seq @ zero @ X @ X)).
% 0.48/0.84 thf(zip_derived_cl5, plain, (![X0 : $i]: (seq @ zero @ X0 @ X0)),
% 0.48/0.84 inference('cnf', [status(esa)], [rewrite_sequence_zero])).
% 0.48/0.84 thf(rewrite_sequence_succ, axiom,
% 0.48/0.84 (( ~( seq @ N @ X @ Y ) ) | ( ~( step @ Y @ Z ) ) |
% 0.48/0.84 ( seq @ ( succ @ N ) @ X @ Z ))).
% 0.48/0.84 thf(zip_derived_cl6, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.84 (~ (seq @ X0 @ X1 @ X2)
% 0.48/0.84 | ~ (step @ X2 @ X3)
% 0.48/0.84 | (seq @ (succ @ X0) @ X1 @ X3))),
% 0.48/0.84 inference('cnf', [status(esa)], [rewrite_sequence_succ])).
% 0.48/0.84 thf(zip_derived_cl7, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i]:
% 0.48/0.84 (~ (step @ X0 @ X1) | (seq @ (succ @ zero) @ X0 @ X1))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 0.48/0.84 thf(zip_derived_cl11, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.84 (seq @ (succ @ zero) @ (f @ (f @ X0 @ X1) @ (f @ X2 @ a)) @
% 0.48/0.84 (f @ (f @ X2 @ (f @ X1 @ a)) @ X0))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 0.48/0.84 thf(zip_derived_cl6, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.84 (~ (seq @ X0 @ X1 @ X2)
% 0.48/0.84 | ~ (step @ X2 @ X3)
% 0.48/0.84 | (seq @ (succ @ X0) @ X1 @ X3))),
% 0.48/0.84 inference('cnf', [status(esa)], [rewrite_sequence_succ])).
% 0.48/0.84 thf(zip_derived_cl15, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.84 (~ (step @ (f @ (f @ X2 @ (f @ X1 @ a)) @ X0) @ X3)
% 0.48/0.84 | (seq @ (succ @ (succ @ zero)) @
% 0.48/0.84 (f @ (f @ X0 @ X1) @ (f @ X2 @ a)) @ X3))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl6])).
% 0.48/0.84 thf(zip_derived_cl6, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.84 (~ (seq @ X0 @ X1 @ X2)
% 0.48/0.84 | ~ (step @ X2 @ X3)
% 0.48/0.84 | (seq @ (succ @ X0) @ X1 @ X3))),
% 0.48/0.84 inference('cnf', [status(esa)], [rewrite_sequence_succ])).
% 0.48/0.84 thf(zip_derived_cl16, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.48/0.84 (~ (step @ (f @ (f @ X1 @ (f @ X2 @ a)) @ X3) @ X0)
% 0.48/0.84 | ~ (step @ X0 @ X4)
% 0.48/0.84 | (seq @ (succ @ (succ @ (succ @ zero))) @
% 0.48/0.84 (f @ (f @ X3 @ X2) @ (f @ X1 @ a)) @ X4))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl6])).
% 0.48/0.84 thf(zip_derived_cl21, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.48/0.84 (~ (step @ (f @ (f @ (f @ X3 @ (f @ X2 @ a)) @ X1) @ X0) @ X4)
% 0.48/0.84 | (seq @ (succ @ (succ @ (succ @ zero))) @
% 0.48/0.84 (f @ (f @ X0 @ X3) @ (f @ (f @ X1 @ X2) @ a)) @ X4))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl16])).
% 0.48/0.84 thf(prove, conjecture, (seq @ ( succ @ ( succ @ ( succ @ zero ) ) ) @ X @ X)).
% 0.48/0.84 thf(zf_stmt_0, negated_conjecture,
% 0.48/0.84 (~( seq @ ( succ @ ( succ @ ( succ @ zero ) ) ) @ X @ X )),
% 0.48/0.84 inference('cnf.neg', [status(esa)], [prove])).
% 0.48/0.84 thf(zip_derived_cl1, plain,
% 0.48/0.84 (![X0 : $i]: ~ (seq @ (succ @ (succ @ (succ @ zero))) @ X0 @ X0)),
% 0.48/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.84 thf(zip_derived_cl24, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.84 ~ (step @ (f @ (f @ (f @ X2 @ (f @ X0 @ a)) @ X1) @ X3) @
% 0.48/0.84 (f @ (f @ X3 @ X2) @ (f @ (f @ X1 @ X0) @ a)))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 0.48/0.84 thf(zip_derived_cl8, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.84 (step @ (f @ (f @ X0 @ X1) @ (f @ X2 @ a)) @
% 0.48/0.84 (f @ (f @ X2 @ (f @ X1 @ a)) @ X0))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.48/0.84 thf(rewrite_right, axiom,
% 0.48/0.84 (( ~( step @ Y @ Z ) ) | ( step @ ( f @ X @ Y ) @ ( f @ X @ Z ) ))).
% 0.48/0.84 thf(zip_derived_cl4, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.84 (~ (step @ X0 @ X1) | (step @ (f @ X2 @ X0) @ (f @ X2 @ X1)))),
% 0.48/0.84 inference('cnf', [status(esa)], [rewrite_right])).
% 0.48/0.84 thf(zip_derived_cl10, plain,
% 0.48/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.84 (step @ (f @ X3 @ (f @ (f @ X0 @ X1) @ (f @ X2 @ a))) @
% 0.48/0.84 (f @ X3 @ (f @ (f @ X2 @ (f @ X1 @ a)) @ X0)))),
% 0.48/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 0.48/0.84 thf(zip_derived_cl28, plain, ($false),
% 0.48/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl10])).
% 0.48/0.84
% 0.48/0.84 % SZS output end Refutation
% 0.48/0.84
% 0.48/0.84
% 0.48/0.84 % Terminating...
% 1.74/0.97 % Runner terminated.
% 1.74/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------