%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV014+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 : Wed Jun 3 09:00:20 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV014+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n006.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 19:52:34 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.generate_b_nonce (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.generate_expiration_time (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.b_stored (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.fresh_to_b (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.bt $$unsorted) % 0.38/0.60 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.b_holds (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.quadruple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.a_stored (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.at $$unsorted) % 0.38/0.60 (declare-const tptp.key (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.t_holds (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.party_of_protocol (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.intruder_message (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.b $$unsorted) % 0.38/0.60 (declare-const tptp.t $$unsorted) % 0.38/0.60 (declare-const tptp.a $$unsorted) % 0.38/0.60 (declare-const tptp.a_holds (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.an_a_nonce $$unsorted) % 0.38/0.60 (declare-const tptp.encrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.intruder_holds (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.a_nonce (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.sent (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.generate_key (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.message (-> $$unsorted Bool)) % 0.38/0.60 (define @t1 () (tptp.party_of_protocol tptp.a)) % 0.38/0.60 (define @t2 () (tptp.pair tptp.a tptp.an_a_nonce)) % 0.38/0.60 (define @t3 () (tptp.message (tptp.sent tptp.a tptp.b @t2))) % 0.38/0.60 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t5 () (@var "W" $$unsorted)) % 0.38/0.60 (define @t6 () (@var "U" $$unsorted)) % 0.38/0.60 (define @t7 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t8 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t9 () (@var "V" $$unsorted)) % 0.38/0.60 (define @t10 () (tptp.party_of_protocol tptp.b)) % 0.38/0.60 (define @t11 () (tptp.fresh_to_b tptp.an_a_nonce)) % 0.38/0.60 (define @t12 () (tptp.pair @t6 @t9)) % 0.38/0.60 (define @t13 () (and (tptp.message (tptp.sent tptp.b tptp.t (tptp.triple tptp.b (tptp.generate_b_nonce @t9) (tptp.encrypt (tptp.triple @t6 @t9 (tptp.generate_expiration_time @t9)) tptp.bt)))) (tptp.b_stored @t12))) % 0.38/0.60 (define @t14 () (tptp.fresh_to_b @t9)) % 0.38/0.60 (define @t15 () (tptp.message (tptp.sent @t6 tptp.b @t12))) % 0.38/0.60 (define @t16 () (and @t15 @t14)) % 0.38/0.60 (define @t17 () (@list @t6 @t9)) % 0.38/0.60 (define @t18 () (forall @t17 (=> @t16 @t13))) % 0.38/0.60 (define @t19 () (tptp.b_holds (tptp.key @t9 @t7))) % 0.38/0.60 (define @t20 () (tptp.b_stored (tptp.pair @t7 @t4))) % 0.38/0.60 (define @t21 () (tptp.message (tptp.sent @t7 tptp.b (tptp.pair (tptp.encrypt (tptp.triple @t7 @t9 (tptp.generate_expiration_time @t4)) tptp.bt) (tptp.encrypt (tptp.generate_b_nonce @t4) @t9))))) % 0.38/0.60 (define @t22 () (and @t21 @t20)) % 0.38/0.60 (define @t23 () (forall (@list @t9 @t7 @t4) (=> @t22 @t19))) % 0.38/0.60 (define @t24 () (tptp.generate_key @t7)) % 0.38/0.60 (define @t25 () (@var "X1" $$unsorted)) % 0.38/0.60 (define @t26 () (tptp.intruder_message @t5)) % 0.38/0.60 (define @t27 () (tptp.message (tptp.sent @t6 @t9 @t5))) % 0.38/0.60 (define @t28 () (@list @t6 @t9 @t5)) % 0.38/0.60 (define @t29 () (forall @t28 (=> @t27 @t26))) % 0.38/0.60 (define @t30 () (tptp.intruder_message @t9)) % 0.38/0.60 (define @t31 () (tptp.intruder_message @t6)) % 0.38/0.60 (define @t32 () (and @t31 @t30)) % 0.38/0.60 (define @t33 () (tptp.intruder_message @t12)) % 0.38/0.60 (define @t34 () (forall @t17 (=> @t33 @t32))) % 0.38/0.60 (define @t35 () (and @t31 @t30 @t26)) % 0.38/0.60 (define @t36 () (tptp.intruder_message (tptp.triple @t6 @t9 @t5))) % 0.38/0.60 (define @t37 () (forall @t28 (=> @t36 @t35))) % 0.38/0.60 (define @t38 () (and @t31 @t30 @t26 (tptp.intruder_message @t7))) % 0.38/0.60 (define @t39 () (tptp.intruder_message (tptp.quadruple @t6 @t9 @t5 @t7))) % 0.38/0.60 (define @t40 () (@list @t6 @t9 @t5 @t7)) % 0.38/0.60 (define @t41 () (forall @t17 (=> @t32 @t33))) % 0.38/0.60 (define @t42 () (tptp.party_of_protocol @t5)) % 0.38/0.60 (define @t43 () (tptp.intruder_holds (tptp.key @t9 @t5))) % 0.38/0.60 (define @t44 () (tptp.intruder_message (tptp.encrypt @t6 @t9))) % 0.38/0.60 (define @t45 () (tptp.message (tptp.sent @t9 @t5 @t6))) % 0.38/0.60 (define @t46 () (tptp.party_of_protocol @t9)) % 0.38/0.60 (define @t47 () (and @t31 @t46 @t42)) % 0.38/0.60 (define @t48 () (forall @t28 (=> @t47 @t45))) % 0.38/0.60 (define @t49 () (and @t30 @t42)) % 0.38/0.60 (define @t50 () (@list @t9 @t5)) % 0.38/0.60 (define @t51 () (forall @t50 (=> @t49 @t43))) % 0.38/0.60 (define @t52 () (and @t31 @t43 @t42)) % 0.38/0.60 (define @t53 () (forall @t28 (=> @t52 @t44))) % 0.38/0.60 (define @t54 () (@list @t6)) % 0.38/0.60 (define @t55 () (tptp.b_holds (tptp.key @t6 tptp.a))) % 0.38/0.60 (define @t56 () (tptp.intruder_holds (tptp.key @t6 tptp.b))) % 0.38/0.60 (define @t57 () (and @t56 @t55)) % 0.38/0.60 (define @t58 () (exists @t54 @t57)) % 0.38/0.60 (define @t59 () (not @t58)) % 0.38/0.60 (define @t60 () (not @t42)) % 0.38/0.60 (define @t61 () (not @t30)) % 0.38/0.60 (define @t62 () (or @t61 @t60 @t43)) % 0.38/0.60 (define @t63 () (forall @t54 (not @t57))) % 0.38/0.60 (define @t64 () (not @t63)) % 0.38/0.60 (define @t65 () (not @t20)) % 0.38/0.60 (define @t66 () (not @t21)) % 0.38/0.60 (define @t67 () (not @t46)) % 0.38/0.60 (define @t68 () (not @t31)) % 0.38/0.60 (define @t69 () (or @t68 @t67 @t60)) % 0.38/0.60 (define @t70 () (tptp.generate_b_nonce tptp.an_a_nonce)) % 0.38/0.60 (define @t71 () (tptp.encrypt @t70 tptp.an_a_nonce)) % 0.38/0.60 (define @t72 () (tptp.encrypt (tptp.triple tptp.a tptp.an_a_nonce (tptp.generate_expiration_time tptp.an_a_nonce)) tptp.bt)) % 0.38/0.60 (define @t73 () (tptp.pair @t72 @t71)) % 0.38/0.60 (define @t74 () (not @t43)) % 0.38/0.60 (define @t75 () (or @t68 @t74 @t60)) % 0.38/0.60 (define @t76 () (@list tptp.a tptp.an_a_nonce)) % 0.38/0.60 (define @t77 () (tptp.intruder_message @t2)) % 0.38/0.60 (define @t78 () (not @t3)) % 0.38/0.60 (define @t79 () (or @t78 @t77)) % 0.38/0.60 (define @t80 () (@list false false)) % 0.38/0.60 (define @t81 () (tptp.intruder_message tptp.an_a_nonce)) % 0.38/0.60 (define @t82 () (and (tptp.intruder_message tptp.a) @t81)) % 0.38/0.60 (define @t83 () (not @t77)) % 0.38/0.60 (define @t84 () (or @t83 @t82)) % 0.38/0.60 (define @t85 () (@list false)) % 0.38/0.60 (define @t86 () (tptp.key tptp.an_a_nonce tptp.a)) % 0.38/0.60 (define @t87 () (tptp.intruder_holds @t86)) % 0.38/0.60 (define @t88 () (not @t1)) % 0.38/0.60 (define @t89 () (not @t81)) % 0.38/0.60 (define @t90 () (or @t89 @t88 @t87)) % 0.38/0.60 (define @t91 () (@list false false false)) % 0.38/0.60 (define @t92 () (tptp.triple tptp.b @t70 @t72)) % 0.38/0.60 (define @t93 () (not @t14)) % 0.38/0.60 (define @t94 () (not @t15)) % 0.38/0.60 (define @t95 () (tptp.b_stored @t2)) % 0.38/0.60 (define @t96 () (tptp.message (tptp.sent tptp.b tptp.t @t92))) % 0.38/0.60 (define @t97 () (and @t96 @t95)) % 0.38/0.60 (define @t98 () (not @t11)) % 0.38/0.60 (define @t99 () (or @t78 @t98 @t97)) % 0.38/0.60 (define @t100 () (not @t97)) % 0.38/0.60 (define @t101 () (@list @t97)) % 0.38/0.60 (define @t102 () (tptp.intruder_message @t92)) % 0.38/0.60 (define @t103 () (not @t96)) % 0.38/0.60 (define @t104 () (or @t103 @t102)) % 0.38/0.60 (define @t105 () (tptp.intruder_message @t72)) % 0.38/0.60 (define @t106 () (tptp.intruder_message @t70)) % 0.38/0.60 (define @t107 () (and (tptp.intruder_message tptp.b) @t106 @t105)) % 0.38/0.60 (define @t108 () (not @t102)) % 0.38/0.60 (define @t109 () (or @t108 @t107)) % 0.38/0.60 (define @t110 () (not @t107)) % 0.38/0.60 (define @t111 () (@list @t107)) % 0.38/0.60 (define @t112 () (tptp.intruder_message @t71)) % 0.38/0.60 (define @t113 () (not @t87)) % 0.38/0.60 (define @t114 () (not @t106)) % 0.38/0.60 (define @t115 () (or @t114 @t113 @t88 @t112)) % 0.38/0.60 (define @t116 () (@list false false false false)) % 0.38/0.60 (define @t117 () (tptp.intruder_message @t73)) % 0.38/0.60 (define @t118 () (not @t112)) % 0.38/0.60 (define @t119 () (not @t105)) % 0.38/0.60 (define @t120 () (or @t119 @t118 @t117)) % 0.38/0.60 (define @t121 () (tptp.message (tptp.sent tptp.a tptp.b @t73))) % 0.38/0.60 (define @t122 () (not @t10)) % 0.38/0.60 (define @t123 () (not @t117)) % 0.38/0.60 (define @t124 () (or @t123 @t88 @t122 @t121)) % 0.38/0.60 (define @t125 () (tptp.b_holds @t86)) % 0.38/0.60 (define @t126 () (not @t95)) % 0.38/0.60 (define @t127 () (not @t121)) % 0.38/0.60 (define @t128 () (or @t127 @t126 @t125)) % 0.38/0.60 (define @t129 () (not @t125)) % 0.38/0.60 (define @t130 () (tptp.intruder_holds (tptp.key tptp.an_a_nonce tptp.b))) % 0.38/0.60 (define @t131 () (not @t130)) % 0.38/0.60 (define @t132 () (or @t131 @t129)) % 0.38/0.60 (define @t133 () (or @t89 @t122 @t130)) % 0.38/0.60 (define @t134 () (not @t133)) % 0.38/0.60 (define @t135 () (forall @t50 @t62)) % 0.38/0.60 (assume @p1 (tptp.a_holds (tptp.key tptp.at tptp.t))) % 0.38/0.60 (assume @p2 @t1) % 0.38/0.60 (assume @p3 @t3) % 0.38/0.60 (assume @p4 (tptp.a_stored (tptp.pair tptp.b tptp.an_a_nonce))) % 0.38/0.60 (assume @p5 (forall (@list @t6 @t9 @t5 @t7 @t4 @t8) (=> (and (tptp.message (tptp.sent tptp.t tptp.a (tptp.triple (tptp.encrypt (tptp.quadruple @t4 @t8 @t5 @t9) tptp.at) @t7 @t6))) (tptp.a_stored (tptp.pair @t4 @t8))) (and (tptp.message (tptp.sent tptp.a @t4 (tptp.pair @t7 (tptp.encrypt @t6 @t5)))) (tptp.a_holds (tptp.key @t5 @t4)))))) % 0.38/0.60 (assume @p6 (tptp.b_holds (tptp.key tptp.bt tptp.t))) % 0.38/0.60 (assume @p7 @t10) % 0.38/0.60 (assume @p8 @t11) % 0.38/0.60 (assume @p9 @t18) % 0.38/0.60 (assume @p10 @t23) % 0.38/0.60 (assume @p11 (tptp.t_holds (tptp.key tptp.at tptp.a))) % 0.38/0.60 (assume @p12 (tptp.t_holds (tptp.key tptp.bt tptp.b))) % 0.38/0.60 (assume @p13 (tptp.party_of_protocol tptp.t)) % 0.38/0.60 (assume @p14 (forall (@list @t6 @t9 @t5 @t7 @t4 @t8 @t25) (=> (and (tptp.message (tptp.sent @t6 tptp.t (tptp.triple @t6 @t9 (tptp.encrypt (tptp.triple @t5 @t7 @t4) @t8)))) (tptp.t_holds (tptp.key @t8 @t6)) (tptp.t_holds (tptp.key @t25 @t5)) (tptp.a_nonce @t7)) (tptp.message (tptp.sent tptp.t @t5 (tptp.triple (tptp.encrypt (tptp.quadruple @t6 @t7 @t24 @t4) @t25) (tptp.encrypt (tptp.triple @t5 @t24 @t4) @t8) @t9)))))) % 0.38/0.60 (assume @p15 @t29) % 0.38/0.60 (assume @p16 @t34) % 0.38/0.60 (assume @p17 @t37) % 0.38/0.60 (assume @p18 (forall @t40 (=> @t39 @t38))) % 0.38/0.60 (assume @p19 @t41) % 0.38/0.60 (assume @p20 (forall @t28 (=> @t35 @t36))) % 0.38/0.60 (assume @p21 (forall @t40 (=> @t38 @t39))) % 0.38/0.60 (assume @p22 (forall @t28 (=> (and @t44 @t43 @t42) @t30))) % 0.38/0.60 (assume @p23 @t48) % 0.38/0.60 (assume @p24 @t51) % 0.38/0.60 (assume @p25 @t53) % 0.38/0.60 (assume @p26 (tptp.a_nonce tptp.an_a_nonce)) % 0.38/0.60 (assume @p27 (forall @t54 (not (tptp.a_nonce (tptp.generate_key @t6))))) % 0.38/0.60 (assume @p28 (forall @t54 (and (tptp.a_nonce (tptp.generate_expiration_time @t6)) (tptp.a_nonce (tptp.generate_b_nonce @t6))))) % 0.38/0.60 (assume @p29 @t59) % 0.38/0.60 (assume @p30 true) % 0.38/0.60 (step @p31 :rule aci_norm :args ((= (or (or @t61 @t60) @t43) @t62))) % 0.38/0.60 (step @p32 :rule refl :args (@t43)) % 0.38/0.60 (step @p33 :rule bool-and-de-morgan :args (@t30 @t42 true)) % 0.38/0.60 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t49) @t43))) % 0.38/0.60 (step @p35 :rule trans :premises (@p34 @p31)) % 0.38/0.60 (step @p36 :rule bool-impl-elim :args (@t49 @t43)) % 0.38/0.60 (step @p37 :rule trans :premises (@p36 @p35)) % 0.38/0.60 (step @p38 :rule cong :premises (@p37) :args (@t51)) % 0.38/0.60 (step @p39 :rule eq_resolve :premises (@p24 @p38)) % 0.38/0.60 (step @p40 :rule bool-double-not-elim :args ((forall @t54 (or (not @t56) (not @t55))))) % 0.38/0.60 (step @p41 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 0.38/0.60 (step @p42 :rule cong :premises (@p41) :args (@t63)) % 0.38/0.60 (step @p43 :rule cong :premises (@p42) :args (@t64)) % 0.38/0.60 (step @p44 :rule exists-elim :args ((= @t58 @t64))) % 0.38/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.60 (step @p46 :rule cong :premises (@p45) :args (@t59)) % 0.38/0.60 (step @p47 :rule trans :premises (@p46 @p40)) % 0.38/0.60 (step @p48 :rule eq_resolve :premises (@p29 @p47)) % 0.38/0.60 (step @p49 :rule instantiate :premises (@p48) :args ((@list tptp.an_a_nonce))) % 0.38/0.60 (step @p50 :rule aci_norm :args ((= (or (or @t66 @t65) @t19) (or @t66 @t65 @t19)))) % 0.38/0.60 (step @p51 :rule refl :args (@t19)) % 0.38/0.60 (step @p52 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.38/0.60 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t22) @t19))) % 0.38/0.60 (step @p54 :rule trans :premises (@p53 @p50)) % 0.38/0.60 (step @p55 :rule bool-impl-elim :args (@t22 @t19)) % 0.38/0.60 (step @p56 :rule trans :premises (@p55 @p54)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56) :args (@t23)) % 0.38/0.60 (step @p58 :rule eq_resolve :premises (@p10 @p57)) % 0.38/0.60 (step @p59 :rule instantiate :premises (@p58) :args ((@list tptp.an_a_nonce tptp.a tptp.an_a_nonce))) % 0.38/0.60 (step @p60 :rule aci_norm :args ((= (or @t69 @t45) (or @t68 @t67 @t60 @t45)))) % 0.38/0.60 (step @p61 :rule refl :args (@t45)) % 0.38/0.60 (step @p62 :rule aci_norm :args ((= (or @t68 (or @t67 @t60)) @t69))) % 0.38/0.60 (step @p63 :rule bool-and-de-morgan :args (@t46 @t42 true)) % 0.38/0.60 (step @p64 :rule refl :args (@t68)) % 0.38/0.60 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t68 (not (and @t46 @t42))))) % 0.38/0.60 (step @p66 :rule bool-and-de-morgan :args (@t31 @t46 (and @t42))) % 0.38/0.60 (step @p67 :rule trans :premises (@p66 @p65)) % 0.38/0.60 (step @p68 :rule trans :premises (@p67 @p62)) % 0.38/0.60 (step @p69 :rule nary_cong :premises (@p68 @p61) :args ((or (not @t47) @t45))) % 0.38/0.60 (step @p70 :rule trans :premises (@p69 @p60)) % 0.38/0.60 (step @p71 :rule bool-impl-elim :args (@t47 @t45)) % 0.38/0.60 (step @p72 :rule trans :premises (@p71 @p70)) % 0.38/0.60 (step @p73 :rule cong :premises (@p72) :args (@t48)) % 0.38/0.60 (step @p74 :rule eq_resolve :premises (@p23 @p73)) % 0.38/0.60 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t73 tptp.a tptp.b))) % 0.38/0.60 (step @p76 :rule aci_norm :args ((= (or (or @t68 @t61) @t33) (or @t68 @t61 @t33)))) % 0.38/0.60 (step @p77 :rule refl :args (@t33)) % 0.38/0.60 (step @p78 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.38/0.60 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t32) @t33))) % 0.38/0.60 (step @p80 :rule trans :premises (@p79 @p76)) % 0.38/0.60 (step @p81 :rule bool-impl-elim :args (@t32 @t33)) % 0.38/0.60 (step @p82 :rule trans :premises (@p81 @p80)) % 0.38/0.60 (step @p83 :rule cong :premises (@p82) :args (@t41)) % 0.38/0.60 (step @p84 :rule eq_resolve :premises (@p19 @p83)) % 0.38/0.60 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t72 @t71))) % 0.38/0.60 (step @p86 :rule aci_norm :args ((= (or @t75 @t44) (or @t68 @t74 @t60 @t44)))) % 0.38/0.60 (step @p87 :rule refl :args (@t44)) % 0.38/0.60 (step @p88 :rule aci_norm :args ((= (or @t68 (or @t74 @t60)) @t75))) % 0.38/0.60 (step @p89 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 0.38/0.60 (step @p90 :rule nary_cong :premises (@p64 @p89) :args ((or @t68 (not (and @t43 @t42))))) % 0.38/0.60 (step @p91 :rule bool-and-de-morgan :args (@t31 @t43 (and @t42))) % 0.38/0.60 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.60 (step @p93 :rule trans :premises (@p92 @p88)) % 0.38/0.60 (step @p94 :rule nary_cong :premises (@p93 @p87) :args ((or (not @t52) @t44))) % 0.38/0.60 (step @p95 :rule trans :premises (@p94 @p86)) % 0.38/0.60 (step @p96 :rule bool-impl-elim :args (@t52 @t44)) % 0.38/0.60 (step @p97 :rule trans :premises (@p96 @p95)) % 0.38/0.60 (step @p98 :rule cong :premises (@p97) :args (@t53)) % 0.38/0.60 (step @p99 :rule eq_resolve :premises (@p25 @p98)) % 0.38/0.60 (step @p100 :rule instantiate :premises (@p99) :args ((@list @t70 tptp.an_a_nonce tptp.a))) % 0.38/0.60 (step @p101 :rule instantiate :premises (@p39) :args ((@list tptp.an_a_nonce tptp.a))) % 0.38/0.60 (step @p102 :rule bool-impl-elim :args (@t33 @t32)) % 0.38/0.60 (step @p103 :rule cong :premises (@p102) :args (@t34)) % 0.38/0.60 (step @p104 :rule eq_resolve :premises (@p16 @p103)) % 0.38/0.60 (step @p105 :rule instantiate :premises (@p104) :args (@t76)) % 0.38/0.60 (step @p106 :rule bool-impl-elim :args (@t27 @t26)) % 0.38/0.60 (step @p107 :rule cong :premises (@p106) :args (@t29)) % 0.38/0.60 (step @p108 :rule eq_resolve :premises (@p15 @p107)) % 0.38/0.60 (step @p109 :rule instantiate :premises (@p108) :args ((@list tptp.a tptp.b @t2))) % 0.38/0.60 (step @p110 :rule cnf_or_pos :args (@t79)) % 0.38/0.60 (step @p111 :rule reordering :premises (@p110) :args ((or @t78 @t77 (not @t79)))) % 0.38/0.60 (step @p112 :rule chain_m_resolution :premises (@p111 @p3 @p109) :args (@t77 @t80 (@list @t3 @t79))) % 0.38/0.60 (step @p113 :rule cnf_or_pos :args (@t84)) % 0.38/0.60 (step @p114 :rule reordering :premises (@p113) :args ((or @t83 @t82 (not @t84)))) % 0.38/0.60 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p105) :args (@t82 @t80 (@list @t77 @t84))) % 0.38/0.60 (step @p116 :rule cnf_and_pos :args (@t82 1)) % 0.38/0.60 (step @p117 :rule reordering :premises (@p116) :args ((or @t81 (not @t82)))) % 0.38/0.60 (step @p118 :rule chain_m_resolution :premises (@p117 @p115) :args (@t81 @t85 (@list @t82))) % 0.38/0.60 (step @p119 :rule cnf_or_pos :args (@t90)) % 0.38/0.60 (step @p120 :rule reordering :premises (@p119) :args ((or @t88 @t89 @t87 (not @t90)))) % 0.38/0.60 (step @p121 :rule chain_m_resolution :premises (@p120 @p2 @p118 @p101) :args (@t87 @t91 (@list @t1 @t81 @t90))) % 0.38/0.60 (step @p122 :rule bool-impl-elim :args (@t36 @t35)) % 0.38/0.60 (step @p123 :rule cong :premises (@p122) :args (@t37)) % 0.38/0.60 (step @p124 :rule eq_resolve :premises (@p17 @p123)) % 0.38/0.60 (step @p125 :rule instantiate :premises (@p124) :args ((@list tptp.b @t70 @t72))) % 0.38/0.60 (step @p126 :rule instantiate :premises (@p108) :args ((@list tptp.b tptp.t @t92))) % 0.38/0.60 (step @p127 :rule aci_norm :args ((= (or (or @t94 @t93) @t13) (or @t94 @t93 @t13)))) % 0.38/0.60 (step @p128 :rule refl :args (@t13)) % 0.38/0.60 (step @p129 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.38/0.60 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t16) @t13))) % 0.38/0.60 (step @p131 :rule trans :premises (@p130 @p127)) % 0.38/0.60 (step @p132 :rule bool-impl-elim :args (@t16 @t13)) % 0.38/0.60 (step @p133 :rule trans :premises (@p132 @p131)) % 0.38/0.60 (step @p134 :rule cong :premises (@p133) :args (@t18)) % 0.38/0.60 (step @p135 :rule eq_resolve :premises (@p9 @p134)) % 0.38/0.60 (step @p136 :rule instantiate :premises (@p135) :args (@t76)) % 0.38/0.60 (step @p137 :rule cnf_or_pos :args (@t99)) % 0.38/0.60 (step @p138 :rule reordering :premises (@p137) :args ((or @t78 @t98 @t97 (not @t99)))) % 0.38/0.60 (step @p139 :rule chain_m_resolution :premises (@p138 @p3 @p8 @p136) :args (@t97 @t91 (@list @t3 @t11 @t99))) % 0.38/0.60 (step @p140 :rule cnf_and_pos :args (@t97 0)) % 0.38/0.60 (step @p141 :rule reordering :premises (@p140) :args ((or @t96 @t100))) % 0.38/0.60 (step @p142 :rule chain_m_resolution :premises (@p141 @p139) :args (@t96 @t85 @t101)) % 0.38/0.60 (step @p143 :rule cnf_or_pos :args (@t104)) % 0.38/0.60 (step @p144 :rule reordering :premises (@p143) :args ((or @t103 @t102 (not @t104)))) % 0.38/0.60 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p126) :args (@t102 @t80 (@list @t96 @t104))) % 0.38/0.60 (step @p146 :rule cnf_or_pos :args (@t109)) % 0.38/0.60 (step @p147 :rule reordering :premises (@p146) :args ((or @t108 @t107 (not @t109)))) % 0.38/0.60 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p125) :args (@t107 @t80 (@list @t102 @t109))) % 0.38/0.60 (step @p149 :rule cnf_and_pos :args (@t107 1)) % 0.38/0.60 (step @p150 :rule reordering :premises (@p149) :args ((or @t106 @t110))) % 0.38/0.60 (step @p151 :rule chain_m_resolution :premises (@p150 @p148) :args (@t106 @t85 @t111)) % 0.38/0.60 (step @p152 :rule cnf_or_pos :args (@t115)) % 0.38/0.60 (step @p153 :rule reordering :premises (@p152) :args ((or @t88 @t114 @t112 @t113 (not @t115)))) % 0.38/0.60 (step @p154 :rule chain_m_resolution :premises (@p153 @p2 @p151 @p121 @p100) :args (@t112 @t116 (@list @t1 @t106 @t87 @t115))) % 0.38/0.60 (step @p155 :rule cnf_and_pos :args (@t107 2)) % 0.38/0.60 (step @p156 :rule reordering :premises (@p155) :args ((or @t105 @t110))) % 0.38/0.60 (step @p157 :rule chain_m_resolution :premises (@p156 @p148) :args (@t105 @t85 @t111)) % 0.38/0.60 (step @p158 :rule cnf_or_pos :args (@t120)) % 0.38/0.60 (step @p159 :rule reordering :premises (@p158) :args ((or @t119 @t117 @t118 (not @t120)))) % 0.38/0.60 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p154 @p85) :args (@t117 @t91 (@list @t105 @t112 @t120))) % 0.38/0.60 (step @p161 :rule cnf_or_pos :args (@t124)) % 0.38/0.60 (step @p162 :rule reordering :premises (@p161) :args ((or @t88 @t122 @t121 @t123 (not @t124)))) % 0.38/0.60 (step @p163 :rule chain_m_resolution :premises (@p162 @p2 @p7 @p160 @p75) :args (@t121 @t116 (@list @t1 @t10 @t117 @t124))) % 0.38/0.60 (step @p164 :rule cnf_and_pos :args (@t97 1)) % 0.38/0.60 (step @p165 :rule reordering :premises (@p164) :args ((or @t95 @t100))) % 0.38/0.60 (step @p166 :rule chain_m_resolution :premises (@p165 @p139) :args (@t95 @t85 @t101)) % 0.38/0.60 (step @p167 :rule cnf_or_pos :args (@t128)) % 0.38/0.60 (step @p168 :rule reordering :premises (@p167) :args ((or @t126 @t127 @t125 (not @t128)))) % 0.38/0.60 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p163 @p59) :args (@t125 @t91 (@list @t95 @t121 @t128))) % 0.38/0.60 (step @p170 :rule cnf_or_pos :args (@t132)) % 0.38/0.60 (step @p171 :rule reordering :premises (@p170) :args ((or @t129 @t131 (not @t132)))) % 0.38/0.60 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p49) :args (@t131 @t80 (@list @t125 @t132))) % 0.38/0.60 (step @p173 :rule cnf_or_pos :args (@t133)) % 0.38/0.60 (step @p174 :rule reordering :premises (@p173) :args ((or @t122 @t89 @t130 @t134))) % 0.38/0.60 (step @p175 :rule chain_m_resolution :premises (@p174 @p7 @p118 @p172) :args (@t134 (@list false false true) (@list @t10 @t81 @t130))) % 0.38/0.60 (assume-push @p182 @t135) % 0.38/0.60 (step @p177 :rule instantiate :premises (@p39) :args ((@list tptp.an_a_nonce tptp.b))) % 0.38/0.60 (step-pop @p183 :rule scope :premises (@p177)) % 0.38/0.60 (step @p178 :rule process_scope :premises (@p183) :args (@t133)) % 0.38/0.60 (step @p180 :rule implies_elim :premises (@p178)) % 0.38/0.60 (step @p181 false :rule chain_m_resolution :premises (@p180 @p175 @p39) :args (false (@list true false) (@list @t133 @t135))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------