%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV097^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:39:50 AM UTC 2026
% Result : Theorem 32.39s 14.04s
% Output : Refutation 32.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV097^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.10/0.21 % Computer : n011.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 16:00:31 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.18/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 3.55/1.60 % [INFO] Parsing done (682ms).
% 3.55/1.63 % [INFO] Running in sequential loop mode.
% 4.96/2.21 % [INFO] eprover registered as external prover.
% 4.96/2.23 % [INFO] Scanning for conjecture ...
% 5.99/2.69 % [INFO] Found a conjecture (or negated_conjecture) and 181 axioms. Running axiom selection ...
% 6.79/2.99 % [INFO] Axiom selection finished. Selected 181 axioms (removed 0 axioms).
% 8.10/3.30 % [INFO] Problem is higher-order (TPTP THF).
% 8.10/3.33 % [INFO] Type checking passed.
% 8.10/3.34 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 32.39/14.03 % [INFO] Killing All external provers ...
% 32.39/14.04 % Time passed: 13685ms (effective reasoning time: 12397ms)
% 32.39/14.04 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 32.39/14.04 % Axioms used in derivation (0):
% 32.39/14.04 % No. of inferences in proof: 4
% 32.39/14.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 13685 ms resp. 12397 ms w/o parsing
% 32.73/14.19 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.73/14.19 thf(mu_type, type, mu: $tType).
% 32.73/14.19 thf(qmltpeq_decl, type, qmltpeq: (mu > (mu > ($i > $o)))).
% 32.73/14.19 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 32.73/14.19 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 32.73/14.19 thf(mand_decl, type, mand: (($i > $o) > (($i > $o) > ($i > $o)))).
% 32.73/14.19 thf(mimplies_decl, type, mimplies: (($i > $o) > (($i > $o) > ($i > $o)))).
% 32.73/14.19 thf(exists_in_world_decl, type, exists_in_world: (mu > ($i > $o))).
% 32.73/14.19 thf(mforall_ind_decl, type, mforall_ind: ((mu > ($i > $o)) > ($i > $o))).
% 32.73/14.19 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 32.73/14.19 thf(rel_s4_decl, type, rel_s4: ($i > ($i > $o))).
% 32.73/14.19 thf(mbox_s4_decl, type, mbox_s4: (($i > $o) > ($i > $o))).
% 32.73/14.19 thf(leq_decl, type, leq: (mu > (mu > ($i > $o)))).
% 32.73/14.19 thf(z_defuse_decl, type, z_defuse: mu).
% 32.73/14.19 thf(minus_decl, type, minus: (mu > (mu > mu))).
% 32.73/14.19 thf(pv5_decl, type, pv5: mu).
% 32.73/14.19 thf(xinit_noise_defuse_decl, type, xinit_noise_defuse: mu).
% 32.73/14.19 thf(xinit_mean_defuse_decl, type, xinit_mean_defuse: mu).
% 32.73/14.19 thf(xinit_defuse_decl, type, xinit_defuse: mu).
% 32.73/14.19 thf(u_defuse_decl, type, u_defuse: mu).
% 32.73/14.19 thf(a_select3_decl, type, a_select3: (mu > (mu > (mu > mu)))).
% 32.73/14.19 thf(sigma_defuse_decl, type, sigma_defuse: mu).
% 32.73/14.19 thf(use_decl, type, use: mu).
% 32.73/14.19 thf(rho_defuse_decl, type, rho_defuse: mu).
% 32.73/14.19 thf(a_select2_decl, type, a_select2: (mu > (mu > mu))).
% 32.73/14.19 thf(n999_decl, type, n999: mu).
% 32.73/14.19 thf(n4_decl, type, n4: mu).
% 32.73/14.19 thf(n5_decl, type, n5: mu).
% 32.73/14.19 thf(n1_decl, type, n1: mu).
% 32.73/14.19 thf(n2_decl, type, n2: mu).
% 32.73/14.19 thf(n3_decl, type, n3: mu).
% 32.73/14.19 thf(n0_decl, type, n0: mu).
% 32.73/14.19 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 32.73/14.19 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 32.73/14.19 thf(mand_def, definition, mand = (^ [A:($i > $o),B:($i > $o)]: (mnot @ (mor @ (mnot @ A) @ (mnot @ B)))) ).
% 32.73/14.19 thf(mimplies_def, definition, mimplies = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 32.73/14.19 thf(mforall_ind_def, definition, mforall_ind = (^ [A:(mu > ($i > $o)),B:$i]: ! [C:mu]: ((exists_in_world @ C @ B) => (A @ C @ B))) ).
% 32.73/14.19 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 32.73/14.19 thf(mbox_s4_def, definition, mbox_s4 = (^ [A:($i > $o),B:$i]: ! [C:$i]: (~ (rel_s4 @ B @ C) | (A @ C))) ).
% 32.73/14.19 thf(1,conjecture,((mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^ [A:mu]: (mbox_s4 @ (mforall_ind @ (^ [B:mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ A)) @ (mand @ (mbox_s4 @ (leq @ n0 @ B)) @ (mand @ (mbox_s4 @ (leq @ A @ n2)) @ (mbox_s4 @ (leq @ B @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ A @ B) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ A @ B) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^ [A:mu]: (mbox_s4 @ (mforall_ind @ (^ [B:mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ A)) @ (mand @ (mbox_s4 @ (leq @ n0 @ B)) @ (mand @ (mbox_s4 @ (leq @ A @ n2)) @ (mbox_s4 @ (leq @ B @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ A @ B) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ A @ B) @ use))))))))))))))))))))))))))))))))))))))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^ [A:mu]: (mbox_s4 @ (mforall_ind @ (^ [B:mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ A)) @ (mand @ (mbox_s4 @ (leq @ n0 @ B)) @ (mand @ (mbox_s4 @ (leq @ A @ n2)) @ (mbox_s4 @ (leq @ B @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ A @ B) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ A @ B) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^ [A:mu]: (mbox_s4 @ (mforall_ind @ (^ [B:mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ A)) @ (mand @ (mbox_s4 @ (leq @ n0 @ B)) @ (mand @ (mbox_s4 @ (leq @ A @ n2)) @ (mbox_s4 @ (leq @ B @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ A @ B) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ A @ B) @ use))))))))))))))))))))))))))))))))))))))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009)).
% 32.73/14.19 thf(2,negated_conjecture,((~ (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^ [A:mu]: (mbox_s4 @ (mforall_ind @ (^ [B:mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ A)) @ (mand @ (mbox_s4 @ (leq @ n0 @ B)) @ (mand @ (mbox_s4 @ (leq @ A @ n2)) @ (mbox_s4 @ (leq @ B @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ A @ B) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ A @ B) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^ [A:mu]: (mbox_s4 @ (mforall_ind @ (^ [B:mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ A)) @ (mand @ (mbox_s4 @ (leq @ n0 @ B)) @ (mand @ (mbox_s4 @ (leq @ A @ n2)) @ (mbox_s4 @ (leq @ B @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ A @ B) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ A @ B) @ use))))))))))))))))))))))))))))))))))))))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^ [A:mu]: (mbox_s4 @ (mforall_ind @ (^ [B:mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ A)) @ (mand @ (mbox_s4 @ (leq @ n0 @ B)) @ (mand @ (mbox_s4 @ (leq @ A @ n2)) @ (mbox_s4 @ (leq @ B @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ A @ B) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ A @ B) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^ [A:mu]: (mbox_s4 @ (mforall_ind @ (^ [B:mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ A)) @ (mand @ (mbox_s4 @ (leq @ n0 @ B)) @ (mand @ (mbox_s4 @ (leq @ A @ n2)) @ (mbox_s4 @ (leq @ B @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ A @ B) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ A @ B) @ use)))))))))))))))))))))))))))))))))))))))))))))),inference(neg_conjecture,[status(cth)],[1])).
% 32.73/14.19 thf(184,plain,(~ (($true))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 32.73/14.19 thf(185,plain,(($false)),inference(simp,[status(thm)],[184])).
% 32.73/14.19 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.73/14.19 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------