%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ040-1 : TPTP v9.2.0. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ydcuj7Uyh6 true
% Computer : n020.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 04:49:34 PM UTC 2025
% Result : Unsatisfiable 16.74s 2.95s
% Output : Refutation 16.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : PUZ040-1 : TPTP v9.2.0. Bugfixed v2.6.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ydcuj7Uyh6 true
% 0.10/0.30 % Computer : n020.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 15:08:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.16/0.56 % Total configuration time : 435
% 0.16/0.56 % Estimated wc time : 1092
% 0.16/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.84/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.84/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.84/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.84/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.84/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.84/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.12/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 16.74/2.95 % Solved by fo/fo5.sh.
% 16.74/2.95 % done 580 iterations in 2.297s
% 16.74/2.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 16.74/2.95 % SZS output start Refutation
% 16.74/2.95 thf(state_type, type, state: $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 16.74/2.95 $i > $i > $i > $o).
% 16.74/2.95 thf(s1_type, type, s1: $i > $i > $i).
% 16.74/2.95 thf(s_type, type, s: $i > $i).
% 16.74/2.95 thf(e2_type, type, e2: $i > $i > $i).
% 16.74/2.95 thf(s3_type, type, s3: $i > $i > $i).
% 16.74/2.95 thf(v2_type, type, v2: $i > $i > $i).
% 16.74/2.95 thf(h_type, type, h: $i > $i > $i).
% 16.74/2.95 thf(v3_type, type, v3: $i > $i > $i).
% 16.74/2.95 thf(bb_type, type, bb: $i > $i > $i).
% 16.74/2.95 thf(v4_type, type, v4: $i > $i > $i).
% 16.74/2.95 thf(s2_type, type, s2: $i > $i > $i).
% 16.74/2.95 thf(e1_type, type, e1: $i > $i > $i).
% 16.74/2.95 thf(s4_type, type, s4: $i > $i > $i).
% 16.74/2.95 thf(o_type, type, o: $i).
% 16.74/2.95 thf(v1_type, type, v1: $i > $i > $i).
% 16.74/2.95 thf(initial_state, axiom,
% 16.74/2.95 (state @
% 16.74/2.95 ( bb @ o @ ( s @ o ) ) @ ( v1 @ o @ o ) @
% 16.74/2.95 ( v2 @ o @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( v3 @ ( s @ ( s @ o ) ) @ o ) @
% 16.74/2.95 ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) @
% 16.74/2.95 ( h @ ( s @ ( s @ o ) ) @ ( s @ o ) ) @
% 16.74/2.95 ( s1 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ o ) ) @
% 16.74/2.95 ( s2 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ ( s @ o ) ) ) @
% 16.74/2.95 ( s3 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ o ) ) @
% 16.74/2.95 ( s4 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ o ) ) ) @
% 16.74/2.95 ( e1 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ o ) @
% 16.74/2.95 ( e2 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ ( s @ o ) ) ) ))).
% 16.74/2.95 thf(zip_derived_cl41, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ o)) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ (s @ (s @ o)))) @ o) @
% 16.74/2.95 (e2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))))),
% 16.74/2.95 inference('cnf', [status(esa)], [initial_state])).
% 16.74/2.95 thf(v3_down, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ E2 ))).
% 16.74/2.95 thf(zip_derived_cl26, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ (v3 @ X3 @ X4) @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ (s @ (s @ X3)) @ X4) @ X11)
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ (v3 @ (s @ X3) @ X4) @ X5 @ X6 @ X7 @
% 16.74/2.95 X8 @ X9 @ X10 @ (e1 @ X3 @ X4) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [v3_down])).
% 16.74/2.95 thf(zip_derived_cl46, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ o)) @ o) @
% 16.74/2.95 (e2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl26])).
% 16.74/2.95 thf(v1_down, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ E2 ))).
% 16.74/2.95 thf(zip_derived_cl18, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ (v1 @ X1 @ X2) @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ (s @ (s @ X1)) @ X2) @ X11)
% 16.74/2.95 | (state @ X0 @ (v1 @ (s @ X1) @ X2) @ X3 @ X4 @ X5 @ X6 @ X7 @
% 16.74/2.95 X8 @ X9 @ X10 @ (e1 @ X1 @ X2) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [v1_down])).
% 16.74/2.95 thf(zip_derived_cl50, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ o) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @ (e1 @ o @ o) @
% 16.74/2.95 (e2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl18])).
% 16.74/2.95 thf(swap_blanks, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @
% 16.74/2.95 ( e2 @ Q @ W ) ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ Q @ W ) @
% 16.74/2.95 ( e2 @ X @ Y ) ))).
% 16.74/2.95 thf(zip_derived_cl40, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 (e1 @ X10 @ X11) @ (e2 @ X12 @ X13))
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 (e1 @ X12 @ X13) @ (e2 @ X10 @ X11)))),
% 16.74/2.95 inference('cnf', [status(esa)], [swap_blanks])).
% 16.74/2.95 thf(zip_derived_cl51, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ o) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @ (e2 @ o @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl40])).
% 16.74/2.95 thf(v4_down, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ X ) @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ E2 ))).
% 16.74/2.95 thf(zip_derived_cl30, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ (v4 @ X4 @ X5) @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ (s @ (s @ X4)) @ X5) @ X11)
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ (v4 @ (s @ X4) @ X5) @ X6 @ X7 @
% 16.74/2.95 X8 @ X9 @ X10 @ (e1 @ X4 @ X5) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [v4_down])).
% 16.74/2.95 thf(zip_derived_cl54, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ o) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @ (e2 @ o @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl30])).
% 16.74/2.95 thf(h_right, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ E2 ))).
% 16.74/2.95 thf(zip_derived_cl32, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ (h @ X5 @ X6) @ X7 @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ X5 @ (s @ (s @ X6))) @ X11)
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ (h @ X5 @ (s @ X6)) @ X7 @ X8 @
% 16.74/2.95 X9 @ X10 @ (e1 @ X5 @ X6) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [h_right])).
% 16.74/2.95 thf(zip_derived_cl61, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ o) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ o)) @ (s @ o)) @ (e2 @ o @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl32])).
% 16.74/2.95 thf(s1_up, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ E2 ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ ( s @ X ) @ Y ) @ E2 ))).
% 16.74/2.95 thf(zip_derived_cl3, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ (s1 @ (s @ X6) @ X7) @ X8 @
% 16.74/2.95 X9 @ X10 @ (e1 @ X6 @ X7) @ X11)
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ (s1 @ X6 @ X7) @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ (s @ X6) @ X7) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [s1_up])).
% 16.74/2.95 thf(zip_derived_cl64, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ o) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ (s @ o))) @ (s @ o)) @ (e2 @ o @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl3])).
% 16.74/2.95 thf(s3_up, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ ( s @ X ) @ Y ) @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ E2 ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ ( s3 @ X @ Y ) @ S4 @
% 16.74/2.95 ( e1 @ ( s @ X ) @ Y ) @ E2 ))).
% 16.74/2.95 thf(zip_derived_cl11, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @
% 16.74/2.95 (s3 @ (s @ X8) @ X9) @ X10 @ (e1 @ X8 @ X9) @ X11)
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ (s3 @ X8 @ X9) @
% 16.74/2.95 X10 @ (e1 @ (s @ X8) @ X9) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [s3_up])).
% 16.74/2.95 thf(zip_derived_cl71, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ o) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @ (e2 @ o @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl11])).
% 16.74/2.95 thf(zip_derived_cl40, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 (e1 @ X10 @ X11) @ (e2 @ X12 @ X13))
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 (e1 @ X12 @ X13) @ (e2 @ X10 @ X11)))),
% 16.74/2.95 inference('cnf', [status(esa)], [swap_blanks])).
% 16.74/2.95 thf(zip_derived_cl82, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ o) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @ (e1 @ o @ o) @
% 16.74/2.95 (e2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl40])).
% 16.74/2.95 thf(v1_up, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ ( v1 @ ( s @ X ) @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ E2 ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ ( v1 @ X @ Y ) @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ))).
% 16.74/2.95 thf(zip_derived_cl19, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ (v1 @ (s @ X1) @ X2) @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 16.74/2.95 X9 @ X10 @ (e1 @ X1 @ X2) @ X11)
% 16.74/2.95 | (state @ X0 @ (v1 @ X1 @ X2) @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ (s @ (s @ X1)) @ X2) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [v1_up])).
% 16.74/2.95 thf(zip_derived_cl97, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ o)) @ o) @ (e2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl19])).
% 16.74/2.95 thf(s1_left, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ ( s @ Y ) ) @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ E2 ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ ( s @ Y ) ) @ E2 ))).
% 16.74/2.95 thf(zip_derived_cl1, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ (s1 @ X6 @ (s @ X7)) @ X8 @
% 16.74/2.95 X9 @ X10 @ (e1 @ X6 @ X7) @ X11)
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ (s1 @ X6 @ X7) @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ X6 @ (s @ X7)) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [s1_left])).
% 16.74/2.95 thf(zip_derived_cl172, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @ (s1 @ (s @ (s @ o)) @ o) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (e2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl1])).
% 16.74/2.95 thf(zip_derived_cl11, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @
% 16.74/2.95 (s3 @ (s @ X8) @ X9) @ X10 @ (e1 @ X8 @ X9) @ X11)
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ (s3 @ X8 @ X9) @
% 16.74/2.95 X10 @ (e1 @ (s @ X8) @ X9) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [s3_up])).
% 16.74/2.95 thf(zip_derived_cl258, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @ (s1 @ (s @ (s @ o)) @ o) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (e2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl11])).
% 16.74/2.95 thf(v3_right, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ V1 @ V2 @ ( v3 @ X @ ( s @ Y ) ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ))).
% 16.74/2.95 thf(zip_derived_cl24, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ (v3 @ X3 @ X4) @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ X3 @ (s @ X4)) @ (e2 @ (s @ X3) @ (s @ X4)))
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ (v3 @ X3 @ (s @ X4)) @ X5 @ X6 @ X7 @
% 16.74/2.95 X8 @ X9 @ X10 @ (e1 @ X3 @ X4) @ (e2 @ (s @ X3) @ X4)))),
% 16.74/2.95 inference('cnf', [status(esa)], [v3_right])).
% 16.74/2.95 thf(zip_derived_cl360, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (v3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @ (s1 @ (s @ (s @ o)) @ o) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ (s @ o))) @ o) @ (e2 @ (s @ (s @ (s @ (s @ o)))) @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl24])).
% 16.74/2.95 thf(s1_down, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ X @ Y ) @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ ( s @ X ) @ Y ) @ E2 ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 B @ V1 @ V2 @ V3 @ V4 @ H @ ( s1 @ ( s @ X ) @ Y ) @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ E2 ))).
% 16.74/2.95 thf(zip_derived_cl2, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ (s1 @ X6 @ X7) @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ (s @ X6) @ X7) @ X11)
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ (s1 @ (s @ X6) @ X7) @
% 16.74/2.95 X8 @ X9 @ X10 @ (e1 @ X6 @ X7) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [s1_down])).
% 16.74/2.95 thf(zip_derived_cl361, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (v3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ o)) @ o) @ (e2 @ (s @ (s @ (s @ (s @ o)))) @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl360, zip_derived_cl2])).
% 16.74/2.95 thf(zip_derived_cl18, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ (v1 @ X1 @ X2) @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ (s @ (s @ X1)) @ X2) @ X11)
% 16.74/2.95 | (state @ X0 @ (v1 @ (s @ X1) @ X2) @ X3 @ X4 @ X5 @ X6 @ X7 @
% 16.74/2.95 X8 @ X9 @ X10 @ (e1 @ X1 @ X2) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [v1_down])).
% 16.74/2.95 thf(zip_derived_cl367, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ o) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (v3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @ (e1 @ o @ o) @
% 16.74/2.95 (e2 @ (s @ (s @ (s @ (s @ o)))) @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl18])).
% 16.74/2.95 thf(zip_derived_cl40, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 (e1 @ X10 @ X11) @ (e2 @ X12 @ X13))
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 (e1 @ X12 @ X13) @ (e2 @ X10 @ X11)))),
% 16.74/2.95 inference('cnf', [status(esa)], [swap_blanks])).
% 16.74/2.95 thf(zip_derived_cl368, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ o) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (v3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ o))) @ o) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ (s @ (s @ o)))) @ o) @ (e2 @ o @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl40])).
% 16.74/2.95 thf(zip_derived_cl2, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ (s1 @ X6 @ X7) @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ (s @ X6) @ X7) @ X11)
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ (s1 @ (s @ X6) @ X7) @
% 16.74/2.95 X8 @ X9 @ X10 @ (e1 @ X6 @ X7) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [s1_down])).
% 16.74/2.95 thf(zip_derived_cl370, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ o) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (v3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ (s @ o)))) @ o) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ (s @ (s @ o))) @ o) @ (e2 @ o @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl368, zip_derived_cl2])).
% 16.74/2.95 thf(zip_derived_cl18, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 16.74/2.95 (~ (state @ X0 @ (v1 @ X1 @ X2) @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ (s @ (s @ X1)) @ X2) @ X11)
% 16.74/2.95 | (state @ X0 @ (v1 @ (s @ X1) @ X2) @ X3 @ X4 @ X5 @ X6 @ X7 @
% 16.74/2.95 X8 @ X9 @ X10 @ (e1 @ X1 @ X2) @ X11))),
% 16.74/2.95 inference('cnf', [status(esa)], [v1_down])).
% 16.74/2.95 thf(zip_derived_cl374, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ (s @ o)) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (v3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ (s @ o)))) @ o) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ (s @ o) @ o) @ (e2 @ o @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl370, zip_derived_cl18])).
% 16.74/2.95 thf(zip_derived_cl40, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 16.74/2.95 (~ (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 (e1 @ X10 @ X11) @ (e2 @ X12 @ X13))
% 16.74/2.95 | (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 (e1 @ X12 @ X13) @ (e2 @ X10 @ X11)))),
% 16.74/2.95 inference('cnf', [status(esa)], [swap_blanks])).
% 16.74/2.95 thf(zip_derived_cl375, plain,
% 16.74/2.95 ( (state @ (bb @ o @ (s @ o)) @ (v1 @ (s @ (s @ o)) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (v3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ (s @ o)))) @ o) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @ (e1 @ o @ o) @
% 16.74/2.95 (e2 @ (s @ o) @ o))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl374, zip_derived_cl40])).
% 16.74/2.95 thf(b_left, axiom,
% 16.74/2.95 (( ~( state @
% 16.74/2.95 ( bb @ X @ ( s @ Y ) ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) ) |
% 16.74/2.95 ( state @
% 16.74/2.95 ( bb @ X @ Y ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 16.74/2.95 ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ ( e2 @ ( s @ X ) @ ( s @ ( s @ Y ) ) ) ))).
% 16.74/2.95 thf(zip_derived_cl37, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.74/2.95 (~ (state @ (bb @ X0 @ (s @ X1)) @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 16.74/2.95 X9 @ X10 @ (e1 @ X0 @ X1) @ (e2 @ (s @ X0) @ X1))
% 16.74/2.95 | (state @ (bb @ X0 @ X1) @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 16.74/2.95 X10 @ (e1 @ X0 @ (s @ (s @ X1))) @
% 16.74/2.95 (e2 @ (s @ X0) @ (s @ (s @ X1)))))),
% 16.74/2.95 inference('cnf', [status(esa)], [b_left])).
% 16.74/2.95 thf(zip_derived_cl381, plain,
% 16.74/2.95 ( (state @ (bb @ o @ o) @ (v1 @ (s @ (s @ o)) @ o) @
% 16.74/2.95 (v2 @ o @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (v3 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 16.74/2.95 (v4 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o)))) @
% 16.74/2.95 (h @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 16.74/2.95 (s1 @ (s @ (s @ (s @ (s @ o)))) @ o) @
% 16.74/2.95 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 16.74/2.95 (s3 @ (s @ (s @ o)) @ (s @ o)) @
% 16.74/2.95 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 16.74/2.95 (e1 @ o @ (s @ (s @ o))) @ (e2 @ (s @ o) @ (s @ (s @ o))))),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl375, zip_derived_cl37])).
% 16.74/2.95 thf(goal_state, conjecture,
% 16.74/2.95 (state @
% 16.74/2.95 ( bb @ o @ o ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ E1 @ E2)).
% 16.74/2.95 thf(zf_stmt_0, negated_conjecture,
% 16.74/2.95 (~( state @
% 16.74/2.95 ( bb @ o @ o ) @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ E1 @ E2 )),
% 16.74/2.95 inference('cnf.neg', [status(esa)], [goal_state])).
% 16.74/2.95 thf(zip_derived_cl42, plain,
% 16.74/2.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 16.74/2.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 16.74/2.95 ~ (state @ (bb @ o @ o) @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @
% 16.74/2.95 X8 @ X9 @ X10)),
% 16.74/2.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 16.74/2.95 thf(zip_derived_cl805, plain, ($false),
% 16.74/2.95 inference('sup-', [status(thm)], [zip_derived_cl381, zip_derived_cl42])).
% 16.74/2.95
% 16.74/2.95 % SZS output end Refutation
% 16.74/2.95
% 16.74/2.95
% 16.74/2.95 % Terminating...
% 17.20/3.07 % Runner terminated.
% 17.20/3.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------