%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN116-10 : 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.6jxTUdzAyc true
% Computer : n002.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 05:04:03 PM UTC 2025
% Result : Unsatisfiable 1.10s 0.96s
% Output : Refutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN116-10 : TPTP v9.2.0. Released v7.5.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6jxTUdzAyc true
% 0.10/0.30 % Computer : n002.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
% 0.10/0.30 % DateTime : Wed Oct 1 13:37:23 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.16/0.51 % Total configuration time : 435
% 0.16/0.51 % Estimated wc time : 1092
% 0.16/0.51 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.59 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.59 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.94/0.59 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.94/0.60 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.98/0.61 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.64 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.06/0.64 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.10/0.96 % Solved by fo/fo7.sh.
% 1.10/0.96 % done 708 iterations in 0.326s
% 1.10/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.10/0.96 % SZS output start Refutation
% 1.10/0.96 thf(q1_type, type, q1: $i > $i > $i > $i).
% 1.10/0.96 thf(p1_type, type, p1: $i > $i > $i > $i).
% 1.10/0.96 thf(p3_type, type, p3: $i > $i > $i > $i).
% 1.10/0.96 thf(n2_type, type, n2: $i > $i).
% 1.10/0.96 thf(d_type, type, d: $i).
% 1.10/0.96 thf(true_type, type, true: $i).
% 1.10/0.96 thf(m0_type, type, m0: $i > $i > $i > $i).
% 1.10/0.96 thf(k5_type, type, k5: $i > $i).
% 1.10/0.96 thf(r3_type, type, r3: $i > $i > $i > $i).
% 1.10/0.96 thf(c_type, type, c: $i).
% 1.10/0.96 thf(n0_type, type, n0: $i > $i > $i).
% 1.10/0.96 thf(l1_type, type, l1: $i > $i > $i).
% 1.10/0.96 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 1.10/0.96 thf(k1_type, type, k1: $i > $i).
% 1.10/0.96 thf(b_type, type, b: $i).
% 1.10/0.96 thf(p0_type, type, p0: $i > $i > $i).
% 1.10/0.96 thf(p2_type, type, p2: $i > $i > $i > $i).
% 1.10/0.96 thf(s4_type, type, s4: $i > $i).
% 1.10/0.96 thf(s0_type, type, s0: $i > $i).
% 1.10/0.96 thf(prove_this, conjecture, (( k5 @ b ) = ( true ))).
% 1.10/0.96 thf(zf_stmt_0, negated_conjecture, (( k5 @ b ) != ( true )),
% 1.10/0.96 inference('cnf.neg', [status(esa)], [prove_this])).
% 1.10/0.96 thf(zip_derived_cl301, plain, (((k5 @ b) != (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.10/0.96 thf(axiom_1, axiom, (( s0 @ d ) = ( true ))).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl302, plain, (((k5 @ b) != (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)], [zip_derived_cl301, zip_derived_cl1])).
% 1.10/0.96 thf(axiom_34, axiom, (( n0 @ c @ d ) = ( true ))).
% 1.10/0.96 thf(zip_derived_cl34, plain, (((n0 @ c @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_34])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl322, plain, (((n0 @ c @ d) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 1.10/0.96 thf(rule_001, axiom,
% 1.10/0.96 (( ifeq @ ( n0 @ J @ I ) @ true @ ( k1 @ I ) @ true ) = ( true ))).
% 1.10/0.96 thf(zip_derived_cl39, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]:
% 1.10/0.96 ((ifeq @ (n0 @ X0 @ X1) @ true @ (k1 @ X1) @ true) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [rule_001])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl347, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]:
% 1.10/0.96 ((ifeq @ (n0 @ X0 @ X1) @ (s0 @ d) @ (k1 @ X1) @ (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl39, zip_derived_cl1, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl1])).
% 1.10/0.96 thf(zip_derived_cl355, plain,
% 1.10/0.96 (((ifeq @ (s0 @ d) @ (s0 @ d) @ (k1 @ d) @ (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl322, zip_derived_cl347])).
% 1.10/0.96 thf(ifeq_axiom, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl561, plain, (((s0 @ d) = (k1 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl355, zip_derived_cl0])).
% 1.10/0.96 thf(rule_249, axiom,
% 1.10/0.96 (( ifeq @
% 1.10/0.96 ( n2 @ H ) @ true @
% 1.10/0.96 ( ifeq @ ( k1 @ H ) @ true @ ( p3 @ H @ H @ H ) @ true ) @ true ) =
% 1.10/0.96 ( true ))).
% 1.10/0.96 thf(zip_derived_cl247, plain,
% 1.10/0.96 (![X0 : $i]:
% 1.10/0.96 ((ifeq @ (n2 @ X0) @ true @
% 1.10/0.96 (ifeq @ (k1 @ X0) @ true @ (p3 @ X0 @ X0 @ X0) @ true) @ true)
% 1.10/0.96 = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [rule_249])).
% 1.10/0.96 thf(axiom_14, axiom, (( p0 @ b @ X ) = ( true ))).
% 1.10/0.96 thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_14])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl326, plain, (![X0 : $i]: ((p0 @ b @ X0) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.10/0.96 thf(rule_085, axiom,
% 1.10/0.96 (( ifeq @ ( p0 @ C @ B ) @ true @ ( p1 @ B @ B @ B ) @ true ) = ( true ))).
% 1.10/0.96 thf(zip_derived_cl121, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]:
% 1.10/0.96 ((ifeq @ (p0 @ X0 @ X1) @ true @ (p1 @ X1 @ X1 @ X1) @ true) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [rule_085])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl454, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]:
% 1.10/0.96 ((ifeq @ (p0 @ X0 @ X1) @ (s0 @ d) @ (p1 @ X1 @ X1 @ X1) @ (s0 @ d))
% 1.10/0.96 = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl121, zip_derived_cl1, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl1])).
% 1.10/0.96 thf(zip_derived_cl456, plain,
% 1.10/0.96 (![X0 : $i]:
% 1.10/0.96 ((ifeq @ (s0 @ d) @ (s0 @ d) @ (p1 @ X0 @ X0 @ X0) @ (s0 @ d))
% 1.10/0.96 = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl326, zip_derived_cl454])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl670, plain, (![X0 : $i]: ((s0 @ d) = (p1 @ X0 @ X0 @ X0))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl456, zip_derived_cl0])).
% 1.10/0.96 thf(rule_137, axiom,
% 1.10/0.96 (( ifeq @ ( p1 @ B @ C @ A ) @ true @ ( n2 @ A ) @ true ) = ( true ))).
% 1.10/0.96 thf(zip_derived_cl172, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.96 ((ifeq @ (p1 @ X0 @ X1 @ X2) @ true @ (n2 @ X2) @ true) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [rule_137])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl390, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.96 ((ifeq @ (p1 @ X0 @ X1 @ X2) @ (s0 @ d) @ (n2 @ X2) @ (s0 @ d))
% 1.10/0.96 = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl172, zip_derived_cl1, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl1])).
% 1.10/0.96 thf(zip_derived_cl679, plain,
% 1.10/0.96 (![X0 : $i]:
% 1.10/0.96 ((ifeq @ (s0 @ d) @ (s0 @ d) @ (n2 @ X0) @ (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl670, zip_derived_cl390])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl684, plain, (![X0 : $i]: ((s0 @ d) = (n2 @ X0))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl679, zip_derived_cl0])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1180, plain,
% 1.10/0.96 (![X0 : $i]:
% 1.10/0.96 ((ifeq @ (k1 @ X0) @ (s0 @ d) @ (p3 @ X0 @ X0 @ X0) @ (s0 @ d))
% 1.10/0.96 = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl247, zip_derived_cl684, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl0, zip_derived_cl1])).
% 1.10/0.96 thf(zip_derived_cl1181, plain,
% 1.10/0.96 (((ifeq @ (s0 @ d) @ (s0 @ d) @ (p3 @ d @ d @ d) @ (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl561, zip_derived_cl1180])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl1239, plain, (((s0 @ d) = (p3 @ d @ d @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl1181, zip_derived_cl0])).
% 1.10/0.96 thf(zip_derived_cl322, plain, (((n0 @ c @ d) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 1.10/0.96 thf(rule_002, axiom,
% 1.10/0.96 (( ifeq @ ( n0 @ H @ G ) @ true @ ( l1 @ G @ G ) @ true ) = ( true ))).
% 1.10/0.96 thf(zip_derived_cl40, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]:
% 1.10/0.96 ((ifeq @ (n0 @ X0 @ X1) @ true @ (l1 @ X1 @ X1) @ true) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [rule_002])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl359, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]:
% 1.10/0.96 ((ifeq @ (n0 @ X0 @ X1) @ (s0 @ d) @ (l1 @ X1 @ X1) @ (s0 @ d))
% 1.10/0.96 = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl40, zip_derived_cl1, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl1])).
% 1.10/0.96 thf(zip_derived_cl367, plain,
% 1.10/0.96 (((ifeq @ (s0 @ d) @ (s0 @ d) @ (l1 @ d @ d) @ (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl322, zip_derived_cl359])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl645, plain, (((s0 @ d) = (l1 @ d @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 1.10/0.96 thf(rule_299, axiom,
% 1.10/0.96 (( ifeq @
% 1.10/0.96 ( p3 @ B @ C @ D ) @ true @
% 1.10/0.96 ( ifeq @ ( l1 @ A @ C ) @ true @ ( s4 @ A ) @ true ) @ true ) =
% 1.10/0.96 ( true ))).
% 1.10/0.96 thf(zip_derived_cl279, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.10/0.96 ((ifeq @ (p3 @ X0 @ X1 @ X2) @ true @
% 1.10/0.96 (ifeq @ (l1 @ X3 @ X1) @ true @ (s4 @ X3) @ true) @ true) = (
% 1.10/0.96 true))),
% 1.10/0.96 inference('cnf', [status(esa)], [rule_299])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1660, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.10/0.96 ((ifeq @ (p3 @ X0 @ X1 @ X2) @ (s0 @ d) @
% 1.10/0.96 (ifeq @ (l1 @ X3 @ X1) @ (s0 @ d) @ (s4 @ X3) @ (s0 @ d)) @ (
% 1.10/0.96 s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl279, zip_derived_cl1, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1])).
% 1.10/0.96 thf(zip_derived_cl1661, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]:
% 1.10/0.96 ((ifeq @ (p3 @ X1 @ d @ X0) @ (s0 @ d) @
% 1.10/0.96 (ifeq @ (s0 @ d) @ (s0 @ d) @ (s4 @ d) @ (s0 @ d)) @ (s0 @ d))
% 1.10/0.96 = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl645, zip_derived_cl1660])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl1671, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]:
% 1.10/0.96 ((ifeq @ (p3 @ X1 @ d @ X0) @ (s0 @ d) @ (s4 @ d) @ (s0 @ d))
% 1.10/0.96 = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)], [zip_derived_cl1661, zip_derived_cl0])).
% 1.10/0.96 thf(zip_derived_cl1676, plain,
% 1.10/0.96 (((ifeq @ (s0 @ d) @ (s0 @ d) @ (s4 @ d) @ (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl1239, zip_derived_cl1671])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl1677, plain, (((s0 @ d) = (s4 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl1676, zip_derived_cl0])).
% 1.10/0.96 thf(rule_154, axiom,
% 1.10/0.96 (( ifeq @ ( q1 @ A @ A @ A ) @ true @ ( p2 @ A @ A @ A ) @ true ) =
% 1.10/0.96 ( true ))).
% 1.10/0.96 thf(zip_derived_cl188, plain,
% 1.10/0.96 (![X0 : $i]:
% 1.10/0.96 ((ifeq @ (q1 @ X0 @ X0 @ X0) @ true @ (p2 @ X0 @ X0 @ X0) @ true)
% 1.10/0.96 = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [rule_154])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl576, plain,
% 1.10/0.96 (![X0 : $i]:
% 1.10/0.96 ((ifeq @ (q1 @ X0 @ X0 @ X0) @ (s0 @ d) @ (p2 @ X0 @ X0 @ X0) @
% 1.10/0.96 (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl188, zip_derived_cl1, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl1])).
% 1.10/0.96 thf(axiom_19, axiom, (( m0 @ X @ d @ Y ) = ( true ))).
% 1.10/0.96 thf(zip_derived_cl19, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]: ((m0 @ X0 @ d @ X1) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_19])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl334, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]: ((m0 @ X0 @ d @ X1) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.10/0.96 thf(rule_110, axiom,
% 1.10/0.96 (( ifeq @ ( m0 @ C @ D @ B ) @ true @ ( q1 @ B @ B @ B ) @ true ) =
% 1.10/0.96 ( true ))).
% 1.10/0.96 thf(zip_derived_cl146, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.96 ((ifeq @ (m0 @ X0 @ X1 @ X2) @ true @ (q1 @ X2 @ X2 @ X2) @ true)
% 1.10/0.96 = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [rule_110])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl550, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.96 ((ifeq @ (m0 @ X0 @ X1 @ X2) @ (s0 @ d) @ (q1 @ X2 @ X2 @ X2) @
% 1.10/0.96 (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl146, zip_derived_cl1, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl1])).
% 1.10/0.96 thf(zip_derived_cl553, plain,
% 1.10/0.96 (![X0 : $i]:
% 1.10/0.96 ((ifeq @ (s0 @ d) @ (s0 @ d) @ (q1 @ X0 @ X0 @ X0) @ (s0 @ d))
% 1.10/0.96 = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl550])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl745, plain, (![X0 : $i]: ((s0 @ d) = (q1 @ X0 @ X0 @ X0))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl553, zip_derived_cl0])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl754, plain, (![X0 : $i]: ((p2 @ X0 @ X0 @ X0) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl576, zip_derived_cl745, zip_derived_cl0])).
% 1.10/0.96 thf(rule_267, axiom,
% 1.10/0.96 (( ifeq @ ( p2 @ B @ D @ C ) @ true @ ( r3 @ B @ C @ B ) @ true ) =
% 1.10/0.96 ( true ))).
% 1.10/0.96 thf(zip_derived_cl261, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.96 ((ifeq @ (p2 @ X0 @ X1 @ X2) @ true @ (r3 @ X0 @ X2 @ X0) @ true)
% 1.10/0.96 = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [rule_267])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl611, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.96 ((ifeq @ (p2 @ X0 @ X1 @ X2) @ (s0 @ d) @ (r3 @ X0 @ X2 @ X0) @
% 1.10/0.96 (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl261, zip_derived_cl1, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl1])).
% 1.10/0.96 thf(zip_derived_cl769, plain,
% 1.10/0.96 (![X0 : $i]:
% 1.10/0.96 ((ifeq @ (s0 @ d) @ (s0 @ d) @ (r3 @ X0 @ X0 @ X0) @ (s0 @ d))
% 1.10/0.96 = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl754, zip_derived_cl611])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl875, plain, (![X0 : $i]: ((s0 @ d) = (r3 @ X0 @ X0 @ X0))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl769, zip_derived_cl0])).
% 1.10/0.96 thf(rule_300, axiom,
% 1.10/0.96 (( ifeq @
% 1.10/0.96 ( s4 @ F ) @ true @
% 1.10/0.96 ( ifeq @ ( r3 @ G @ E @ E ) @ true @ ( k5 @ E ) @ true ) @ true ) =
% 1.10/0.96 ( true ))).
% 1.10/0.96 thf(zip_derived_cl280, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.96 ((ifeq @ (s4 @ X0) @ true @
% 1.10/0.96 (ifeq @ (r3 @ X1 @ X2 @ X2) @ true @ (k5 @ X2) @ true) @ true)
% 1.10/0.96 = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [rule_300])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1, plain, (((s0 @ d) = (true))),
% 1.10/0.96 inference('cnf', [status(esa)], [axiom_1])).
% 1.10/0.96 thf(zip_derived_cl1186, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.96 ((ifeq @ (s4 @ X0) @ (s0 @ d) @
% 1.10/0.96 (ifeq @ (r3 @ X1 @ X2 @ X2) @ (s0 @ d) @ (k5 @ X2) @ (s0 @ d)) @
% 1.10/0.96 (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)],
% 1.10/0.96 [zip_derived_cl280, zip_derived_cl1, zip_derived_cl1,
% 1.10/0.96 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1])).
% 1.10/0.96 thf(zip_derived_cl1187, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]:
% 1.10/0.96 ((ifeq @ (s4 @ X1) @ (s0 @ d) @
% 1.10/0.96 (ifeq @ (s0 @ d) @ (s0 @ d) @ (k5 @ X0) @ (s0 @ d)) @ (s0 @ d))
% 1.10/0.96 = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl875, zip_derived_cl1186])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl1188, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i]:
% 1.10/0.96 ((ifeq @ (s4 @ X1) @ (s0 @ d) @ (k5 @ X0) @ (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)], [zip_derived_cl1187, zip_derived_cl0])).
% 1.10/0.96 thf(zip_derived_cl1689, plain,
% 1.10/0.96 (![X0 : $i]:
% 1.10/0.96 ((ifeq @ (s0 @ d) @ (s0 @ d) @ (k5 @ X0) @ (s0 @ d)) = (s0 @ d))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl1677, zip_derived_cl1188])).
% 1.10/0.96 thf(zip_derived_cl0, plain,
% 1.10/0.96 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.10/0.96 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.10/0.96 thf(zip_derived_cl1691, plain, (![X0 : $i]: ((s0 @ d) = (k5 @ X0))),
% 1.10/0.96 inference('sup+', [status(thm)], [zip_derived_cl1689, zip_derived_cl0])).
% 1.10/0.96 thf(zip_derived_cl1692, plain, (((s0 @ d) != (s0 @ d))),
% 1.10/0.96 inference('demod', [status(thm)], [zip_derived_cl302, zip_derived_cl1691])).
% 1.10/0.96 thf(zip_derived_cl1693, plain, ($false),
% 1.10/0.96 inference('simplify', [status(thm)], [zip_derived_cl1692])).
% 1.10/0.96
% 1.10/0.96 % SZS output end Refutation
% 1.10/0.96
% 1.10/0.96
% 1.10/0.96 % Terminating...
% 1.54/1.04 % Runner terminated.
% 1.54/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------