%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ039-10 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AFuXJzDPWR true
% Computer : n003.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 153.20s 22.56s
% Output : Refutation 153.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PUZ039-10 : TPTP v9.2.0. Released v7.5.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AFuXJzDPWR true
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:08:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.59/0.64 % Total configuration time : 435
% 0.59/0.64 % Estimated wc time : 1092
% 0.59/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 153.20/22.56 % Solved by fo/fo6_bce.sh.
% 153.20/22.56 % BCE start: 44
% 153.20/22.56 % BCE eliminated: 0
% 153.20/22.56 % PE start: 44
% 153.20/22.56 logic: eq
% 153.20/22.56 % PE eliminated: 0
% 153.20/22.56 % done 4431 iterations in 21.823s
% 153.20/22.56 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 153.20/22.56 % SZS output start Refutation
% 153.20/22.56 thf(true_type, type, true: $i).
% 153.20/22.56 thf(e1_type, type, e1: $i > $i > $i).
% 153.20/22.56 thf(s_type, type, s: $i > $i).
% 153.20/22.56 thf(h_type, type, h: $i > $i > $i).
% 153.20/22.56 thf(s3_type, type, s3: $i > $i > $i).
% 153.20/22.56 thf(o_type, type, o: $i).
% 153.20/22.56 thf(s1_type, type, s1: $i > $i > $i).
% 153.20/22.56 thf(v3_type, type, v3: $i > $i > $i).
% 153.20/22.56 thf(v1_type, type, v1: $i > $i > $i).
% 153.20/22.56 thf(e2_type, type, e2: $i > $i > $i).
% 153.20/22.56 thf(s4_type, type, s4: $i > $i > $i).
% 153.20/22.56 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 153.20/22.56 thf(bb_type, type, bb: $i > $i > $i).
% 153.20/22.56 thf(s2_type, type, s2: $i > $i > $i).
% 153.20/22.56 thf(state_type, type, state: $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 153.20/22.56 $i > $i > $i > $i).
% 153.20/22.56 thf(v2_type, type, v2: $i > $i > $i).
% 153.20/22.56 thf(v4_type, type, v4: $i > $i > $i).
% 153.20/22.56 thf(initial_state, axiom,
% 153.20/22.56 (( state @
% 153.20/22.56 ( bb @ o @ ( s @ o ) ) @ ( v1 @ o @ o ) @
% 153.20/22.56 ( v2 @ o @ ( s @ ( s @ ( s @ o ) ) ) ) @
% 153.20/22.56 ( v3 @ ( s @ ( s @ o ) ) @ o ) @
% 153.20/22.56 ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) @
% 153.20/22.56 ( h @ ( s @ ( s @ o ) ) @ ( s @ o ) ) @
% 153.20/22.56 ( s1 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ o ) ) @
% 153.20/22.56 ( s2 @ ( s @ ( s @ ( s @ o ) ) ) @ ( s @ ( s @ o ) ) ) @
% 153.20/22.56 ( s3 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ o ) ) @
% 153.20/22.56 ( s4 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ o ) ) ) @
% 153.20/22.56 ( e1 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ o ) @
% 153.20/22.56 ( e2 @ ( s @ ( s @ ( s @ ( s @ o ) ) ) ) @ ( s @ ( s @ ( s @ o ) ) ) ) ) =
% 153.20/22.56 ( true ))).
% 153.20/22.56 thf(zip_derived_cl42, plain,
% 153.20/22.56 (((state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (e1 @ (s @ (s @ (s @ (s @ o)))) @ o) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o))))) = (true))),
% 153.20/22.56 inference('cnf', [status(esa)], [initial_state])).
% 153.20/22.56 thf(swap_blanks, axiom,
% 153.20/22.56 (( ifeq @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ X @ Y ) @
% 153.20/22.56 ( e2 @ Q @ W ) ) @
% 153.20/22.56 true @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ S4 @ ( e1 @ Q @ W ) @
% 153.20/22.56 ( e2 @ X @ Y ) ) @
% 153.20/22.56 true ) =
% 153.20/22.56 ( true ))).
% 153.20/22.56 thf(zip_derived_cl41, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 153.20/22.56 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 153.20/22.56 ((ifeq @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 153.20/22.56 (e1 @ X10 @ X11) @ (e2 @ X12 @ X13)) @
% 153.20/22.56 true @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 153.20/22.56 (e1 @ X12 @ X13) @ (e2 @ X10 @ X11)) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('cnf', [status(esa)], [swap_blanks])).
% 153.20/22.56 thf(zip_derived_cl45, plain,
% 153.20/22.56 (((ifeq @ true @ true @
% 153.20/22.56 (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (e1 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ (s @ o)))) @ o)) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl41])).
% 153.20/22.56 thf(ifeq_axiom, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 153.20/22.56 thf(zip_derived_cl0, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 153.20/22.56 inference('cnf', [status(esa)], [ifeq_axiom])).
% 153.20/22.56 thf(zip_derived_cl46, plain,
% 153.20/22.56 (((true)
% 153.20/22.56 = (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (e1 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ (s @ o)))) @ o)))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl0])).
% 153.20/22.56 thf(s4_right, axiom,
% 153.20/22.56 (( ifeq @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ Y ) @
% 153.20/22.56 ( e1 @ X @ ( s @ Y ) ) @ E2 ) @
% 153.20/22.56 true @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ S2 @ S3 @ ( s4 @ X @ ( s @ Y ) ) @
% 153.20/22.56 ( e1 @ X @ Y ) @ E2 ) @
% 153.20/22.56 true ) =
% 153.20/22.56 ( true ))).
% 153.20/22.56 thf(zip_derived_cl13, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 153.20/22.56 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 153.20/22.56 ((ifeq @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 153.20/22.56 (s4 @ X9 @ X10) @ (e1 @ X9 @ (s @ X10)) @ X11) @
% 153.20/22.56 true @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 153.20/22.56 (s4 @ X9 @ (s @ X10)) @ (e1 @ X9 @ X10) @ X11) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('cnf', [status(esa)], [s4_right])).
% 153.20/22.56 thf(zip_derived_cl97, plain,
% 153.20/22.56 (((ifeq @ true @ true @
% 153.20/22.56 (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ (s @ o)))) @ o)) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl13])).
% 153.20/22.56 thf(zip_derived_cl0, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 153.20/22.56 inference('cnf', [status(esa)], [ifeq_axiom])).
% 153.20/22.56 thf(zip_derived_cl272, plain,
% 153.20/22.56 (((true)
% 153.20/22.56 = (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ (s @ o)))) @ o)))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 153.20/22.56 thf(s2_down, axiom,
% 153.20/22.56 (( ifeq @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ X @ Y ) @ S3 @ S4 @
% 153.20/22.56 ( e1 @ ( s @ X ) @ Y ) @ E2 ) @
% 153.20/22.56 true @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ V4 @ H @ S1 @ ( s2 @ ( s @ X ) @ Y ) @ S3 @ S4 @
% 153.20/22.56 ( e1 @ X @ Y ) @ E2 ) @
% 153.20/22.56 true ) =
% 153.20/22.56 ( true ))).
% 153.20/22.56 thf(zip_derived_cl7, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 153.20/22.56 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 153.20/22.56 ((ifeq @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ (s2 @ X7 @ X8) @ X9 @
% 153.20/22.56 X10 @ (e1 @ (s @ X7) @ X8) @ X11) @
% 153.20/22.56 true @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ (s2 @ (s @ X7) @ X8) @
% 153.20/22.56 X9 @ X10 @ (e1 @ X7 @ X8) @ X11) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('cnf', [status(esa)], [s2_down])).
% 153.20/22.56 thf(zip_derived_cl274, plain,
% 153.20/22.56 (((ifeq @ true @ true @
% 153.20/22.56 (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ (s @ o)))) @ o)) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl272, zip_derived_cl7])).
% 153.20/22.56 thf(zip_derived_cl0, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 153.20/22.56 inference('cnf', [status(esa)], [ifeq_axiom])).
% 153.20/22.56 thf(zip_derived_cl757, plain,
% 153.20/22.56 (((true)
% 153.20/22.56 = (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ (s @ o))) @ (s @ (s @ o))) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ (s @ o)))) @ o)))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl0])).
% 153.20/22.56 thf(zip_derived_cl41, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 153.20/22.56 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 153.20/22.56 ((ifeq @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 153.20/22.56 (e1 @ X10 @ X11) @ (e2 @ X12 @ X13)) @
% 153.20/22.56 true @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 153.20/22.56 (e1 @ X12 @ X13) @ (e2 @ X10 @ X11)) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('cnf', [status(esa)], [swap_blanks])).
% 153.20/22.56 thf(zip_derived_cl763, plain,
% 153.20/22.56 (((ifeq @ true @ true @
% 153.20/22.56 (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ (s @ (s @ o)))) @ o) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o)))) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl757, zip_derived_cl41])).
% 153.20/22.56 thf(zip_derived_cl0, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 153.20/22.56 inference('cnf', [status(esa)], [ifeq_axiom])).
% 153.20/22.56 thf(zip_derived_cl1713, plain,
% 153.20/22.56 (((true)
% 153.20/22.56 = (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ (s @ (s @ o)))) @ o) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o)))))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl763, zip_derived_cl0])).
% 153.20/22.56 thf(v3_down, axiom,
% 153.20/22.56 (( ifeq @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ ( v3 @ X @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 153.20/22.56 ( e1 @ ( s @ ( s @ X ) ) @ Y ) @ E2 ) @
% 153.20/22.56 true @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ ( v3 @ ( s @ X ) @ Y ) @ V4 @ H @ S1 @ S2 @ S3 @ S4 @
% 153.20/22.56 ( e1 @ X @ Y ) @ E2 ) @
% 153.20/22.56 true ) =
% 153.20/22.56 ( true ))).
% 153.20/22.56 thf(zip_derived_cl27, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 153.20/22.56 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 153.20/22.56 ((ifeq @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ (v3 @ X3 @ X4) @ X5 @ X6 @ X7 @ X8 @ X9 @
% 153.20/22.56 X10 @ (e1 @ (s @ (s @ X3)) @ X4) @ X11) @
% 153.20/22.56 true @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ (v3 @ (s @ X3) @ X4) @ X5 @ X6 @ X7 @ X8 @
% 153.20/22.56 X9 @ X10 @ (e1 @ X3 @ X4) @ X11) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('cnf', [status(esa)], [v3_down])).
% 153.20/22.56 thf(zip_derived_cl1719, plain,
% 153.20/22.56 (((ifeq @ true @ true @
% 153.20/22.56 (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ o)) @ o) @ (e2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o)))) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl1713, zip_derived_cl27])).
% 153.20/22.56 thf(zip_derived_cl0, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 153.20/22.56 inference('cnf', [status(esa)], [ifeq_axiom])).
% 153.20/22.56 thf(zip_derived_cl3397, plain,
% 153.20/22.56 (((true)
% 153.20/22.56 = (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ (s @ o)) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o)))))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl1719, zip_derived_cl0])).
% 153.20/22.56 thf(h_left, axiom,
% 153.20/22.56 (( ifeq @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ ( s @ Y ) ) @ S1 @ S2 @ S3 @ S4 @
% 153.20/22.56 ( e1 @ X @ Y ) @ E2 ) @
% 153.20/22.56 true @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ V4 @ ( h @ X @ Y ) @ S1 @ S2 @ S3 @ S4 @
% 153.20/22.56 ( e1 @ X @ ( s @ ( s @ Y ) ) ) @ E2 ) @
% 153.20/22.56 true ) =
% 153.20/22.56 ( true ))).
% 153.20/22.56 thf(zip_derived_cl34, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 153.20/22.56 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 153.20/22.56 ((ifeq @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ X4 @ (h @ X5 @ (s @ X6)) @ X7 @ X8 @
% 153.20/22.56 X9 @ X10 @ (e1 @ X5 @ X6) @ X11) @
% 153.20/22.56 true @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ X4 @ (h @ X5 @ X6) @ X7 @ X8 @ X9 @
% 153.20/22.56 X10 @ (e1 @ X5 @ (s @ (s @ X6))) @ X11) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('cnf', [status(esa)], [h_left])).
% 153.20/22.56 thf(zip_derived_cl3400, plain,
% 153.20/22.56 (((ifeq @ true @ true @
% 153.20/22.56 (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ o) @ (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o)))) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl3397, zip_derived_cl34])).
% 153.20/22.56 thf(zip_derived_cl0, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 153.20/22.56 inference('cnf', [status(esa)], [ifeq_axiom])).
% 153.20/22.56 thf(zip_derived_cl6250, plain,
% 153.20/22.56 (((true)
% 153.20/22.56 = (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (h @ (s @ (s @ o)) @ o) @ (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ o))) @ (s @ (s @ o)))))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl3400, zip_derived_cl0])).
% 153.20/22.56 thf(v4_left, axiom,
% 153.20/22.56 (( ifeq @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ ( v4 @ X @ ( s @ Y ) ) @ H @ S1 @ S2 @ S3 @ S4 @
% 153.20/22.56 ( e1 @ X @ Y ) @ ( e2 @ ( s @ X ) @ Y ) ) @
% 153.20/22.56 true @
% 153.20/22.56 ( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ ( v4 @ X @ Y ) @ H @ S1 @ S2 @ S3 @ S4 @
% 153.20/22.56 ( e1 @ X @ ( s @ Y ) ) @ ( e2 @ ( s @ X ) @ ( s @ Y ) ) ) @
% 153.20/22.56 true ) =
% 153.20/22.56 ( true ))).
% 153.20/22.56 thf(zip_derived_cl30, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 153.20/22.56 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 153.20/22.56 ((ifeq @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ (v4 @ X4 @ (s @ X5)) @ X6 @ X7 @ X8 @
% 153.20/22.56 X9 @ X10 @ (e1 @ X4 @ X5) @ (e2 @ (s @ X4) @ X5)) @
% 153.20/22.56 true @
% 153.20/22.56 (state @ X0 @ X1 @ X2 @ X3 @ (v4 @ X4 @ X5) @ X6 @ X7 @ X8 @ X9 @
% 153.20/22.56 X10 @ (e1 @ X4 @ (s @ X5)) @ (e2 @ (s @ X4) @ (s @ X5))) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('cnf', [status(esa)], [v4_left])).
% 153.20/22.56 thf(zip_derived_cl6254, plain,
% 153.20/22.56 (((ifeq @ true @ true @
% 153.20/22.56 (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ o))) @ (h @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o))))) @
% 153.20/22.56 true) = (true))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl6250, zip_derived_cl30])).
% 153.20/22.56 thf(zip_derived_cl0, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 153.20/22.56 inference('cnf', [status(esa)], [ifeq_axiom])).
% 153.20/22.56 thf(zip_derived_cl10713, plain,
% 153.20/22.56 (((true)
% 153.20/22.56 = (state @ (bb @ o @ (s @ o)) @ (v1 @ o @ o) @
% 153.20/22.56 (v2 @ o @ (s @ (s @ (s @ o)))) @ (v3 @ (s @ (s @ (s @ o))) @ o) @
% 153.20/22.56 (v4 @ (s @ (s @ o)) @ (s @ (s @ o))) @ (h @ (s @ (s @ o)) @ o) @
% 153.20/22.56 (s1 @ (s @ (s @ (s @ o))) @ (s @ o)) @
% 153.20/22.56 (s2 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ o))) @
% 153.20/22.56 (s3 @ (s @ (s @ (s @ (s @ o)))) @ (s @ o)) @
% 153.20/22.56 (s4 @ (s @ (s @ (s @ (s @ o)))) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e1 @ (s @ (s @ o)) @ (s @ (s @ (s @ o)))) @
% 153.20/22.56 (e2 @ (s @ (s @ (s @ o))) @ (s @ (s @ (s @ o))))))),
% 153.20/22.56 inference('s_sup+', [status(thm)], [zip_derived_cl6254, zip_derived_cl0])).
% 153.20/22.56 thf(goal_state, conjecture,
% 153.20/22.56 (( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ H @
% 153.20/22.56 S1 @ S2 @ S3 @ S4 @ E1 @ E2 ) =
% 153.20/22.56 ( true ))).
% 153.20/22.56 thf(zf_stmt_0, negated_conjecture,
% 153.20/22.56 (( state @
% 153.20/22.56 B @ V1 @ V2 @ V3 @ ( v4 @ ( s @ ( s @ o ) ) @ ( s @ ( s @ o ) ) ) @ H @
% 153.20/22.56 S1 @ S2 @ S3 @ S4 @ E1 @ E2 ) !=
% 153.20/22.56 ( true )),
% 153.20/22.56 inference('cnf.neg', [status(esa)], [goal_state])).
% 153.20/22.56 thf(zip_derived_cl43, plain,
% 153.20/22.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 153.20/22.56 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 153.20/22.56 ((state @ X0 @ X1 @ X2 @ X3 @ (v4 @ (s @ (s @ o)) @ (s @ (s @ o))) @
% 153.20/22.56 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10) != (true))),
% 153.20/22.56 inference('cnf', [status(esa)], [zf_stmt_0])).
% 153.20/22.56 thf(zip_derived_cl10714, plain, ($false),
% 153.20/22.56 inference('simplify_reflect-', [status(thm)],
% 153.20/22.56 [zip_derived_cl10713, zip_derived_cl43])).
% 153.20/22.56
% 153.20/22.56 % SZS output end Refutation
% 153.20/22.56
% 153.20/22.56
% 153.20/22.56 % Terminating...
% 153.20/22.61 % Runner terminated.
% 153.20/22.62 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------