%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN054+1 : TPTP v9.2.0. Bugfixed 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.LaxOep0FCZ true
% Computer : n026.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 04:48:53 PM UTC 2025
% Result : Theorem 22.36s 3.78s
% Output : Refutation 22.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN054+1 : TPTP v9.2.0. Bugfixed v7.3.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LaxOep0FCZ true
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:10:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /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
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 22.36/3.78 % Solved by fo/fo3_bce.sh.
% 22.36/3.78 % BCE start: 68
% 22.36/3.78 % BCE eliminated: 0
% 22.36/3.78 % PE start: 68
% 22.36/3.78 logic: neq
% 22.36/3.78 % PE eliminated: 25
% 22.36/3.78 % done 3658 iterations in 3.031s
% 22.36/3.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 22.36/3.78 % SZS output start Refutation
% 22.36/3.78 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 22.36/3.78 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 22.36/3.78 thf(sk__2_type, type, sk__2: $i > $i > $i).
% 22.36/3.78 thf(sk__12_type, type, sk__12: $i > $i).
% 22.36/3.78 thf(sk__14_type, type, sk__14: $i > $i).
% 22.36/3.78 thf(r4_type, type, r4: $i > $i > $i > $o).
% 22.36/3.78 thf(r3_type, type, r3: $i > $i > $i > $o).
% 22.36/3.78 thf(sk__13_type, type, sk__13: $i > $i).
% 22.36/3.78 thf(id_type, type, id: $i > $i > $o).
% 22.36/3.78 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $o).
% 22.36/3.78 thf(sk__6_type, type, sk__6: $i > $i > $i).
% 22.36/3.78 thf(r1_type, type, r1: $i > $o).
% 22.36/3.78 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 22.36/3.78 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 22.36/3.78 thf(sk__type, type, sk_: $i).
% 22.36/3.78 thf(r2_type, type, r2: $i > $i > $o).
% 22.36/3.78 thf(sk__15_type, type, sk__15: $i > $i).
% 22.36/3.78 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 22.36/3.78 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 22.36/3.78 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 22.36/3.78 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $o).
% 22.36/3.78 thf(axiom_1a, axiom,
% 22.36/3.78 (![X1:$i,X8:$i]:
% 22.36/3.78 ( ?[Y4:$i]:
% 22.36/3.78 ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) &
% 22.36/3.78 ( ?[Y5:$i]:
% 22.36/3.78 ( ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) &
% 22.36/3.78 ( id @ Y5 @ Y4 ) ) ) ) ))).
% 22.36/3.78 thf(zip_derived_cl46, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (r3 @ X0 @ X1 @ (sk__5 @ X1 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_1a])).
% 22.36/3.78 thf(axiom_3, axiom,
% 22.36/3.78 (![X13:$i,X14:$i]:
% 22.36/3.78 ( ?[Y22:$i]:
% 22.36/3.78 ( ![X15:$i]:
% 22.36/3.78 ( ( ( id @ X15 @ Y22 ) & ( r3 @ X13 @ X14 @ X15 ) ) |
% 22.36/3.78 ( ( ~( r3 @ X13 @ X14 @ X15 ) ) & ( ~( id @ X15 @ Y22 ) ) ) ) ) ))).
% 22.36/3.78 thf(zf_stmt_0, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 22.36/3.78 thf(zf_stmt_1, axiom,
% 22.36/3.78 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 22.36/3.78 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) =>
% 22.36/3.78 ( ( ~( id @ X15 @ Y22 ) ) & ( ~( r3 @ X13 @ X14 @ X15 ) ) ) ))).
% 22.36/3.78 thf(zf_stmt_2, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 22.36/3.78 thf(zf_stmt_3, axiom,
% 22.36/3.78 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 22.36/3.78 ( ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) =>
% 22.36/3.78 ( ( r3 @ X13 @ X14 @ X15 ) & ( id @ X15 @ Y22 ) ) ))).
% 22.36/3.78 thf(zf_stmt_4, axiom,
% 22.36/3.78 (![X13:$i,X14:$i]:
% 22.36/3.78 ( ?[Y22:$i]:
% 22.36/3.78 ( ![X15:$i]:
% 22.36/3.78 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) |
% 22.36/3.78 ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) ) ) ))).
% 22.36/3.78 thf(zip_derived_cl14, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.36/3.78 ( (zip_tseitin_5 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2)
% 22.36/3.78 | (zip_tseitin_4 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 22.36/3.78 thf(zip_derived_cl11, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.36/3.78 ( (id @ X0 @ X1) | ~ (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 22.36/3.78 thf(zip_derived_cl75, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.36/3.78 ( (zip_tseitin_5 @ X2 @ (sk__2 @ X1 @ X0) @ X1 @ X0)
% 22.36/3.78 | (id @ X2 @ (sk__2 @ X1 @ X0)))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl14, zip_derived_cl11])).
% 22.36/3.78 thf(zip_derived_cl13, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.36/3.78 (~ (r3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_5 @ X2 @ X3 @ X1 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 22.36/3.78 thf(zip_derived_cl101, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.36/3.78 ( (id @ X0 @ (sk__2 @ X1 @ X2)) | ~ (r3 @ X2 @ X1 @ X0))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl75, zip_derived_cl13])).
% 22.36/3.78 thf(zip_derived_cl183, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (id @ (sk__5 @ X1 @ X0) @ (sk__2 @ X1 @ X0))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl101])).
% 22.36/3.78 thf(axiom_8, axiom,
% 22.36/3.78 (![X26:$i,X27:$i]:
% 22.36/3.78 ( ( ~( id @ X26 @ X27 ) ) | ( ( ~( r1 @ X26 ) ) & ( ~( r1 @ X27 ) ) ) |
% 22.36/3.78 ( ( r1 @ X26 ) & ( r1 @ X27 ) ) ))).
% 22.36/3.78 thf(zf_stmt_5, type, zip_tseitin_9 : $i > $i > $o).
% 22.36/3.78 thf(zf_stmt_6, axiom,
% 22.36/3.78 (![X27:$i,X26:$i]:
% 22.36/3.78 ( ( zip_tseitin_9 @ X27 @ X26 ) => ( ( r1 @ X27 ) & ( r1 @ X26 ) ) ))).
% 22.36/3.78 thf(zf_stmt_7, type, zip_tseitin_8 : $i > $i > $o).
% 22.36/3.78 thf(zf_stmt_8, axiom,
% 22.36/3.78 (![X27:$i,X26:$i]:
% 22.36/3.78 ( ( zip_tseitin_8 @ X27 @ X26 ) =>
% 22.36/3.78 ( ( ~( r1 @ X27 ) ) & ( ~( r1 @ X26 ) ) ) ))).
% 22.36/3.78 thf(zf_stmt_9, axiom,
% 22.36/3.78 (![X26:$i,X27:$i]:
% 22.36/3.78 ( ( zip_tseitin_9 @ X27 @ X26 ) | ( zip_tseitin_8 @ X27 @ X26 ) |
% 22.36/3.78 ( ~( id @ X26 @ X27 ) ) ))).
% 22.36/3.78 thf(zip_derived_cl27, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]:
% 22.36/3.78 ( (zip_tseitin_9 @ X0 @ X1)
% 22.36/3.78 | (zip_tseitin_8 @ X0 @ X1)
% 22.36/3.78 | ~ (id @ X1 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 22.36/3.78 thf(zip_derived_cl23, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_8 @ X0 @ X1))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 22.36/3.78 thf(zip_derived_cl78, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]:
% 22.36/3.78 (~ (id @ X1 @ X0) | (zip_tseitin_9 @ X0 @ X1) | ~ (r1 @ X0))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl27, zip_derived_cl23])).
% 22.36/3.78 thf(zip_derived_cl26, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_9 @ X1 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_6])).
% 22.36/3.78 thf(zip_derived_cl107, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | ~ (id @ X0 @ X1) | (r1 @ X0))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl78, zip_derived_cl26])).
% 22.36/3.78 thf(zip_derived_cl632, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]:
% 22.36/3.78 ( (r1 @ (sk__5 @ X1 @ X0)) | ~ (r1 @ (sk__2 @ X1 @ X0)))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl107])).
% 22.36/3.78 thf(zip_derived_cl45, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (id @ (sk__6 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_1a])).
% 22.36/3.78 thf(zip_derived_cl43, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_1a])).
% 22.36/3.78 thf(zip_derived_cl44, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__7 @ X1 @ X0) @ (sk__6 @ X1 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_1a])).
% 22.36/3.78 thf(zeroplusoneidone, conjecture,
% 22.36/3.78 (?[Y1:$i]:
% 22.36/3.78 ( ( ?[Y3:$i]:
% 22.36/3.78 ( ( ?[Y6:$i]: ( ( r2 @ Y6 @ Y3 ) & ( r1 @ Y6 ) ) ) & ( id @ Y1 @ Y3 ) ) ) &
% 22.36/3.78 ( ?[Y2:$i]:
% 22.36/3.78 ( ( ?[Y5:$i]: ( ( r2 @ Y5 @ Y2 ) & ( r1 @ Y5 ) ) ) &
% 22.36/3.78 ( ?[Y4:$i]: ( ( r3 @ Y4 @ Y2 @ Y1 ) & ( r1 @ Y4 ) ) ) ) ) ))).
% 22.36/3.78 thf(zf_stmt_10, negated_conjecture,
% 22.36/3.78 (~( ?[Y1:$i]:
% 22.36/3.78 ( ( ?[Y3:$i]:
% 22.36/3.78 ( ( ?[Y6:$i]: ( ( r2 @ Y6 @ Y3 ) & ( r1 @ Y6 ) ) ) &
% 22.36/3.78 ( id @ Y1 @ Y3 ) ) ) &
% 22.36/3.78 ( ?[Y2:$i]:
% 22.36/3.78 ( ( ?[Y5:$i]: ( ( r2 @ Y5 @ Y2 ) & ( r1 @ Y5 ) ) ) &
% 22.36/3.78 ( ?[Y4:$i]: ( ( r3 @ Y4 @ Y2 @ Y1 ) & ( r1 @ Y4 ) ) ) ) ) ) )),
% 22.36/3.78 inference('cnf.neg', [status(esa)], [zeroplusoneidone])).
% 22.36/3.78 thf(zip_derived_cl67, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.36/3.78 (~ (id @ X0 @ X1)
% 22.36/3.78 | ~ (r2 @ X2 @ X1)
% 22.36/3.78 | ~ (r1 @ X2)
% 22.36/3.78 | ~ (r3 @ X3 @ X4 @ X0)
% 22.36/3.78 | ~ (r1 @ X3)
% 22.36/3.78 | ~ (r2 @ X5 @ X4)
% 22.36/3.78 | ~ (r1 @ X5))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_10])).
% 22.36/3.78 thf(zip_derived_cl287, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.36/3.78 (~ (r1 @ X2)
% 22.36/3.78 | ~ (r2 @ X2 @ (sk__7 @ X1 @ X0))
% 22.36/3.78 | ~ (r1 @ X0)
% 22.36/3.78 | ~ (r1 @ X3)
% 22.36/3.78 | ~ (r2 @ X3 @ X4)
% 22.36/3.78 | ~ (id @ (sk__6 @ X1 @ X0) @ X4))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl67])).
% 22.36/3.78 thf(zip_derived_cl326, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.36/3.78 (~ (id @ (sk__6 @ X1 @ X0) @ X2)
% 22.36/3.78 | ~ (r2 @ X3 @ X2)
% 22.36/3.78 | ~ (r1 @ X3)
% 22.36/3.78 | ~ (r1 @ X0)
% 22.36/3.78 | ~ (r1 @ X1))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl287])).
% 22.36/3.78 thf(zip_derived_cl334, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.36/3.78 (~ (r1 @ X1)
% 22.36/3.78 | ~ (r1 @ X0)
% 22.36/3.78 | ~ (r1 @ X2)
% 22.36/3.78 | ~ (r2 @ X2 @ (sk__4 @ X1 @ X0)))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl326])).
% 22.36/3.78 thf(zip_derived_cl47, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (r2 @ (sk__5 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_1a])).
% 22.36/3.78 thf(zip_derived_cl353, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]:
% 22.36/3.78 (~ (r1 @ (sk__5 @ X1 @ X0)) | ~ (r1 @ X0) | ~ (r1 @ X1))),
% 22.36/3.78 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl47])).
% 22.36/3.78 thf(zip_derived_cl6823, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]:
% 22.36/3.78 (~ (r1 @ (sk__2 @ X1 @ X0)) | ~ (r1 @ X1) | ~ (r1 @ X0))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl632, zip_derived_cl353])).
% 22.36/3.78 thf(axiom_4a, axiom,
% 22.36/3.78 (![X4:$i]:
% 22.36/3.78 ( ?[Y9:$i]:
% 22.36/3.78 ( ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) &
% 22.36/3.78 ( id @ Y9 @ X4 ) ) ))).
% 22.36/3.78 thf(zip_derived_cl54, plain, (![X0 : $i]: (id @ (sk__12 @ X0) @ X0)),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_4a])).
% 22.36/3.78 thf(axiom_6, axiom,
% 22.36/3.78 (![X21:$i,X22:$i]: ( ( id @ X22 @ X21 ) | ( ~( id @ X21 @ X22 ) ) ))).
% 22.36/3.78 thf(zip_derived_cl21, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (id @ X1 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_6])).
% 22.36/3.78 thf(zip_derived_cl142, plain, (![X0 : $i]: (id @ X0 @ (sk__12 @ X0))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl21])).
% 22.36/3.78 thf(axiom_7, axiom,
% 22.36/3.78 (![X23:$i,X24:$i,X25:$i]:
% 22.36/3.78 ( ( ~( id @ X24 @ X25 ) ) | ( id @ X23 @ X25 ) | ( ~( id @ X23 @ X24 ) ) ))).
% 22.36/3.78 thf(zip_derived_cl22, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.36/3.78 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_7])).
% 22.36/3.78 thf(zip_derived_cl229, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (~ (id @ (sk__12 @ X0) @ X1) | (id @ X0 @ X1))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl22])).
% 22.36/3.78 thf(zip_derived_cl55, plain,
% 22.36/3.78 (![X0 : $i]: (r3 @ X0 @ (sk__13 @ X0) @ (sk__12 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_4a])).
% 22.36/3.78 thf(zip_derived_cl101, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.36/3.78 ( (id @ X0 @ (sk__2 @ X1 @ X2)) | ~ (r3 @ X2 @ X1 @ X0))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl75, zip_derived_cl13])).
% 22.36/3.78 thf(zip_derived_cl225, plain,
% 22.36/3.78 (![X0 : $i]: (id @ (sk__12 @ X0) @ (sk__2 @ (sk__13 @ X0) @ X0))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl101])).
% 22.36/3.78 thf(zip_derived_cl1596, plain,
% 22.36/3.78 (![X0 : $i]: (id @ X0 @ (sk__2 @ (sk__13 @ X0) @ X0))),
% 22.36/3.78 inference('sup+', [status(thm)], [zip_derived_cl229, zip_derived_cl225])).
% 22.36/3.78 thf(axiom_1, axiom,
% 22.36/3.78 (?[Y24:$i]:
% 22.36/3.78 ( ![X19:$i]:
% 22.36/3.78 ( ( ( id @ X19 @ Y24 ) & ( r1 @ X19 ) ) |
% 22.36/3.78 ( ( ~( r1 @ X19 ) ) & ( ~( id @ X19 @ Y24 ) ) ) ) ))).
% 22.36/3.78 thf(zf_stmt_11, type, zip_tseitin_1 : $i > $i > $o).
% 22.36/3.78 thf(zf_stmt_12, axiom,
% 22.36/3.78 (![X19:$i,Y24:$i]:
% 22.36/3.78 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 22.36/3.78 ( ( ~( id @ X19 @ Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 22.36/3.78 thf(zf_stmt_13, type, zip_tseitin_0 : $i > $i > $o).
% 22.36/3.78 thf(zf_stmt_14, axiom,
% 22.36/3.78 (![X19:$i,Y24:$i]:
% 22.36/3.78 ( ( zip_tseitin_0 @ X19 @ Y24 ) => ( ( r1 @ X19 ) & ( id @ X19 @ Y24 ) ) ))).
% 22.36/3.78 thf(zf_stmt_15, axiom,
% 22.36/3.78 (?[Y24:$i]:
% 22.36/3.78 ( ![X19:$i]:
% 22.36/3.78 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 22.36/3.78 thf(zip_derived_cl4, plain,
% 22.36/3.78 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_15])).
% 22.36/3.78 thf(zip_derived_cl1, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 22.36/3.78 thf(zip_derived_cl69, plain,
% 22.36/3.78 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (id @ X0 @ sk_))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl4, zip_derived_cl1])).
% 22.36/3.78 thf(zip_derived_cl3, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_1 @ X0 @ X1))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 22.36/3.78 thf(zip_derived_cl89, plain, (![X0 : $i]: ( (id @ X0 @ sk_) | ~ (r1 @ X0))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl69, zip_derived_cl3])).
% 22.36/3.78 thf(axiom_5a, axiom,
% 22.36/3.78 (![X5:$i]:
% 22.36/3.78 ( ?[Y8:$i]:
% 22.36/3.78 ( ( ?[Y18:$i]: ( ( r1 @ Y18 ) & ( id @ Y8 @ Y18 ) ) ) &
% 22.36/3.78 ( ?[Y17:$i]: ( ( r4 @ X5 @ Y17 @ Y8 ) & ( r1 @ Y17 ) ) ) ) ))).
% 22.36/3.78 thf(zip_derived_cl60, plain,
% 22.36/3.78 (![X0 : $i]: (id @ (sk__14 @ X0) @ (sk__15 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_5a])).
% 22.36/3.78 thf(zip_derived_cl22, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.36/3.78 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_7])).
% 22.36/3.78 thf(zip_derived_cl164, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]:
% 22.36/3.78 (~ (id @ (sk__15 @ X0) @ X1) | (id @ (sk__14 @ X0) @ X1))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl22])).
% 22.36/3.78 thf(zip_derived_cl507, plain,
% 22.36/3.78 (![X0 : $i]: (~ (r1 @ (sk__15 @ X0)) | (id @ (sk__14 @ X0) @ sk_))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl164])).
% 22.36/3.78 thf(zip_derived_cl59, plain, (![X0 : $i]: (r1 @ (sk__15 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_5a])).
% 22.36/3.78 thf(zip_derived_cl512, plain, (![X0 : $i]: (id @ (sk__14 @ X0) @ sk_)),
% 22.36/3.78 inference('demod', [status(thm)], [zip_derived_cl507, zip_derived_cl59])).
% 22.36/3.78 thf(zip_derived_cl22, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.36/3.78 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_7])).
% 22.36/3.78 thf(zip_derived_cl514, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (~ (id @ sk_ @ X1) | (id @ (sk__14 @ X0) @ X1))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl512, zip_derived_cl22])).
% 22.36/3.78 thf(zip_derived_cl27, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]:
% 22.36/3.78 ( (zip_tseitin_9 @ X0 @ X1)
% 22.36/3.78 | (zip_tseitin_8 @ X0 @ X1)
% 22.36/3.78 | ~ (id @ X1 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 22.36/3.78 thf(zip_derived_cl24, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_8 @ X1 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 22.36/3.78 thf(zip_derived_cl79, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]:
% 22.36/3.78 (~ (id @ X0 @ X1) | (zip_tseitin_9 @ X1 @ X0) | ~ (r1 @ X0))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl27, zip_derived_cl24])).
% 22.36/3.78 thf(zip_derived_cl25, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_9 @ X0 @ X1))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_6])).
% 22.36/3.78 thf(zip_derived_cl108, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | ~ (id @ X1 @ X0) | (r1 @ X0))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl79, zip_derived_cl25])).
% 22.36/3.78 thf(zip_derived_cl60, plain,
% 22.36/3.78 (![X0 : $i]: (id @ (sk__14 @ X0) @ (sk__15 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_5a])).
% 22.36/3.78 thf(zip_derived_cl21, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (id @ X1 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_6])).
% 22.36/3.78 thf(zip_derived_cl166, plain,
% 22.36/3.78 (![X0 : $i]: (id @ (sk__15 @ X0) @ (sk__14 @ X0))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl21])).
% 22.36/3.78 thf(zip_derived_cl22, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.36/3.78 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_7])).
% 22.36/3.78 thf(zip_derived_cl273, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]:
% 22.36/3.78 (~ (id @ (sk__14 @ X0) @ X1) | (id @ (sk__15 @ X0) @ X1))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl22])).
% 22.36/3.78 thf(zip_derived_cl3341, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]:
% 22.36/3.78 ( (r1 @ X0) | ~ (r1 @ (sk__15 @ X1)) | ~ (id @ (sk__14 @ X1) @ X0))),
% 22.36/3.78 inference('sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl273])).
% 22.36/3.78 thf(zip_derived_cl59, plain, (![X0 : $i]: (r1 @ (sk__15 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_5a])).
% 22.36/3.78 thf(zip_derived_cl3358, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (id @ (sk__14 @ X1) @ X0))),
% 22.36/3.78 inference('demod', [status(thm)], [zip_derived_cl3341, zip_derived_cl59])).
% 22.36/3.78 thf(zip_derived_cl5755, plain,
% 22.36/3.78 (![X0 : $i]: (~ (id @ sk_ @ X0) | (r1 @ X0))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl514, zip_derived_cl3358])).
% 22.36/3.78 thf(zip_derived_cl14842, plain, ( (r1 @ (sk__2 @ (sk__13 @ sk_) @ sk_))),
% 22.36/3.78 inference('sup-', [status(thm)], [zip_derived_cl1596, zip_derived_cl5755])).
% 22.36/3.78 thf(zip_derived_cl14996, plain, ((~ (r1 @ sk_) | ~ (r1 @ (sk__13 @ sk_)))),
% 22.36/3.78 inference('sup+', [status(thm)],
% 22.36/3.78 [zip_derived_cl6823, zip_derived_cl14842])).
% 22.36/3.78 thf(zip_derived_cl4, plain,
% 22.36/3.78 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_15])).
% 22.36/3.78 thf(zip_derived_cl0, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 22.36/3.78 thf(zip_derived_cl68, plain,
% 22.36/3.78 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (r1 @ X0))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl4, zip_derived_cl0])).
% 22.36/3.78 thf(zip_derived_cl2, plain,
% 22.36/3.78 (![X0 : $i, X1 : $i]: (~ (id @ X0 @ X1) | ~ (zip_tseitin_1 @ X0 @ X1))),
% 22.36/3.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 22.36/3.78 thf(zip_derived_cl86, plain, (![X0 : $i]: ( (r1 @ X0) | ~ (id @ X0 @ sk_))),
% 22.36/3.78 inference('dp-resolution', [status(thm)],
% 22.36/3.78 [zip_derived_cl68, zip_derived_cl2])).
% 22.36/3.78 thf(axiom_5, axiom, (![X20:$i]: ( id @ X20 @ X20 ))).
% 22.36/3.78 thf(zip_derived_cl20, plain, (![X0 : $i]: (id @ X0 @ X0)),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_5])).
% 22.36/3.78 thf(zip_derived_cl122, plain, ( (r1 @ sk_)),
% 22.36/3.78 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl20])).
% 22.36/3.78 thf(zip_derived_cl56, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 22.36/3.78 inference('cnf', [status(esa)], [axiom_4a])).
% 22.36/3.78 thf(zip_derived_cl14999, plain, ($false),
% 22.36/3.78 inference('demod', [status(thm)],
% 22.36/3.78 [zip_derived_cl14996, zip_derived_cl122, zip_derived_cl56])).
% 22.36/3.78
% 22.36/3.78 % SZS output end Refutation
% 22.36/3.78
% 22.36/3.78
% 22.36/3.78 % Terminating...
% 22.83/3.87 % Runner terminated.
% 22.83/3.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------