%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT113+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 : Tue Sep 8 06:05:00 AM UTC 2026 % Result : Theorem 0.19s 0.54s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT113+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n001.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 14:12:52 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.54 % SZS status Theorem % 0.19/0.54 % SZS output start Proof % 0.19/0.54 ( % 0.19/0.54 (declare-sort $$unsorted 0) % 0.19/0.54 (declare-const tptp.event (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.e1 $$unsorted) % 0.19/0.54 (declare-const tptp.rule (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.f1 $$unsorted) % 0.19/0.54 (declare-const tptp.target (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.concert_ds $$unsorted) % 0.19/0.54 (declare-const tptp.action (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.aer (-> $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.act (-> $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.founds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.agent (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.aee (-> $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.right (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.power (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.norm_state_change (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.tgt (-> $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.does (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.philharmonie $$unsorted) % 0.19/0.54 (declare-const tptp.proh (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.duty (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.has_rem (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.triggers (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.duty_rem $$unsorted) % 0.19/0.54 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.bearer (-> $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.founds_rem (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.rfr (-> $$unsorted $$unsorted)) % 0.19/0.54 (declare-const tptp.decl (-> $$unsorted $$unsorted)) % 0.19/0.54 (declare-const tptp.cnt (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.subjection (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.distrib $$unsorted) % 0.19/0.54 (declare-const tptp.inst_event (-> $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.activates (-> $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.rem_act (-> $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.competent_for (-> $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.about_event (-> $$unsorted $$unsorted Bool)) % 0.19/0.54 (declare-const tptp.marketplace $$unsorted) % 0.19/0.54 (define @t1 () (@var "Rho" $$unsorted)) % 0.19/0.54 (define @t2 () (@var "C" $$unsorted)) % 0.19/0.54 (define @t3 () (@var "T" $$unsorted)) % 0.19/0.54 (define @t4 () (@var "A" $$unsorted)) % 0.19/0.54 (define @t5 () (tptp.rfr @t4)) % 0.19/0.54 (define @t6 () (@var "Y" $$unsorted)) % 0.19/0.54 (define @t7 () (@var "D" $$unsorted)) % 0.19/0.54 (define @t8 () (@var "X" $$unsorted)) % 0.19/0.54 (define @t9 () (@var "F" $$unsorted)) % 0.19/0.54 (define @t10 () (@var "E" $$unsorted)) % 0.19/0.54 (define @t11 () (tptp.activates @t10 @t9)) % 0.19/0.54 (define @t12 () (tptp.tgt @t9 @t3)) % 0.19/0.54 (define @t13 () (tptp.act @t9 @t4)) % 0.19/0.54 (define @t14 () (tptp.aer @t9 @t6)) % 0.19/0.54 (define @t15 () (tptp.aee @t9 @t8)) % 0.19/0.54 (define @t16 () (tptp.proh @t9)) % 0.19/0.54 (define @t17 () (@list @t9 @t8 @t6 @t4 @t3 @t10)) % 0.19/0.54 (define @t18 () (@var "RhoR" $$unsorted)) % 0.19/0.54 (define @t19 () (@var "S" $$unsorted)) % 0.19/0.54 (define @t20 () (tptp.part_of @t19 @t18)) % 0.19/0.54 (define @t21 () (tptp.decl @t4)) % 0.19/0.54 (define @t22 () (tptp.cnt @t19 @t21 @t3)) % 0.19/0.54 (define @t23 () (tptp.bearer @t19 @t8)) % 0.19/0.54 (define @t24 () (tptp.subjection @t19)) % 0.19/0.54 (define @t25 () (@var "Pw" $$unsorted)) % 0.19/0.54 (define @t26 () (tptp.part_of @t25 @t18)) % 0.19/0.54 (define @t27 () (tptp.cnt @t25 @t21 @t3)) % 0.19/0.54 (define @t28 () (tptp.bearer @t25 @t6)) % 0.19/0.54 (define @t29 () (tptp.power @t25)) % 0.19/0.54 (define @t30 () (tptp.founds_rem @t10 @t18 @t9)) % 0.19/0.54 (define @t31 () (and @t30 @t29 @t28 @t27 @t26 @t24 @t23 @t22 @t20)) % 0.19/0.54 (define @t32 () (@list @t18 @t25 @t19)) % 0.19/0.54 (define @t33 () (exists @t32 @t31)) % 0.19/0.54 (define @t34 () (tptp.has_rem @t9)) % 0.19/0.54 (define @t35 () (and @t16 @t34 @t15 @t14 @t13 @t12 @t11)) % 0.19/0.54 (define @t36 () (=> @t35 @t33)) % 0.19/0.54 (define @t37 () (forall @t17 @t36)) % 0.19/0.54 (define @t38 () (@var "Q" $$unsorted)) % 0.19/0.54 (define @t39 () (tptp.inst_event @t10)) % 0.19/0.54 (define @t40 () (@list @t10)) % 0.19/0.54 (define @t41 () (tptp.competent_for @t6 @t10)) % 0.19/0.54 (define @t42 () (tptp.about_event @t19 @t10)) % 0.19/0.54 (define @t43 () (tptp.about_event @t25 @t10)) % 0.19/0.54 (define @t44 () (@var "B" $$unsorted)) % 0.19/0.54 (define @t45 () (@var "R" $$unsorted)) % 0.19/0.54 (define @t46 () (tptp.founds_rem @t10 @t1 @t45)) % 0.19/0.54 (define @t47 () (tptp.part_of @t25 @t1)) % 0.19/0.54 (define @t48 () (and @t29 @t27 @t47 @t46)) % 0.19/0.54 (define @t49 () (forall (@list @t25 @t4 @t3 @t1 @t10 @t45) (=> @t48 @t43))) % 0.19/0.54 (define @t50 () (tptp.part_of @t19 @t1)) % 0.19/0.54 (define @t51 () (and @t24 @t22 @t50 @t46)) % 0.19/0.54 (define @t52 () (@list @t19 @t4 @t3 @t1 @t10 @t45)) % 0.19/0.54 (define @t53 () (forall @t52 (=> @t51 @t42))) % 0.19/0.54 (define @t54 () (tptp.proh tptp.f1)) % 0.19/0.54 (define @t55 () (tptp.has_rem tptp.f1)) % 0.19/0.54 (define @t56 () (tptp.aee tptp.f1 tptp.marketplace)) % 0.19/0.54 (define @t57 () (tptp.aer tptp.f1 tptp.philharmonie)) % 0.19/0.54 (define @t58 () (tptp.act tptp.f1 tptp.distrib)) % 0.19/0.54 (define @t59 () (tptp.tgt tptp.f1 tptp.concert_ds)) % 0.19/0.54 (define @t60 () (tptp.activates tptp.e1 tptp.f1)) % 0.19/0.54 (define @t61 () (tptp.about_event @t19 tptp.e1)) % 0.19/0.54 (define @t62 () (tptp.decl tptp.distrib)) % 0.19/0.54 (define @t63 () (tptp.cnt @t19 @t62 tptp.concert_ds)) % 0.19/0.54 (define @t64 () (tptp.bearer @t19 tptp.marketplace)) % 0.19/0.54 (define @t65 () (tptp.about_event @t25 tptp.e1)) % 0.19/0.54 (define @t66 () (tptp.cnt @t25 @t62 tptp.concert_ds)) % 0.19/0.54 (define @t67 () (tptp.bearer @t25 tptp.philharmonie)) % 0.19/0.54 (define @t68 () (tptp.founds_rem tptp.e1 @t18 tptp.f1)) % 0.19/0.54 (define @t69 () (and @t68 @t29 @t67 @t66 @t26 @t65 @t24 @t64 @t63 @t20 @t61)) % 0.19/0.54 (define @t70 () (exists @t32 @t69)) % 0.19/0.54 (define @t71 () (not @t70)) % 0.19/0.54 (define @t72 () (not @t46)) % 0.19/0.54 (define @t73 () (not @t50)) % 0.19/0.54 (define @t74 () (not @t22)) % 0.19/0.54 (define @t75 () (not @t24)) % 0.19/0.54 (define @t76 () (or @t75 @t74 @t73 @t72 @t42)) % 0.19/0.54 (define @t77 () (or @t75 @t74 @t73 @t72)) % 0.19/0.54 (define @t78 () (not @t61)) % 0.19/0.54 (define @t79 () (not @t20)) % 0.19/0.54 (define @t80 () (not @t63)) % 0.19/0.54 (define @t81 () (not @t64)) % 0.19/0.54 (define @t82 () (not @t65)) % 0.19/0.54 (define @t83 () (not @t26)) % 0.19/0.54 (define @t84 () (not @t66)) % 0.19/0.54 (define @t85 () (not @t67)) % 0.19/0.54 (define @t86 () (not @t29)) % 0.19/0.54 (define @t87 () (not @t68)) % 0.19/0.54 (define @t88 () (or @t87 @t86 @t85 @t84 @t83 @t82 @t75 @t81 @t80 @t79 @t78)) % 0.19/0.54 (define @t89 () (forall @t32 (not @t69))) % 0.19/0.54 (define @t90 () (not @t89)) % 0.19/0.54 (define @t91 () (forall @t32 (or @t87 @t86 @t85 @t84 @t83 @t75 @t81 @t80 @t79))) % 0.19/0.54 (define @t92 () (@quantifiers_skolemize @t91 2)) % 0.19/0.54 (define @t93 () (@quantifiers_skolemize @t91 1)) % 0.19/0.54 (define @t94 () (@quantifiers_skolemize @t91 0)) % 0.19/0.54 (define @t95 () (not @t47)) % 0.19/0.54 (define @t96 () (not @t27)) % 0.19/0.54 (define @t97 () (or @t86 @t96 @t95 @t72)) % 0.19/0.54 (define @t98 () (not @t23)) % 0.19/0.54 (define @t99 () (not @t28)) % 0.19/0.54 (define @t100 () (not @t30)) % 0.19/0.54 (define @t101 () (or @t100 @t86 @t99 @t96 @t83 @t75 @t98 @t74 @t79)) % 0.19/0.54 (define @t102 () (not (forall @t32 @t101))) % 0.19/0.54 (define @t103 () (not @t11)) % 0.19/0.54 (define @t104 () (not @t12)) % 0.19/0.54 (define @t105 () (not @t13)) % 0.19/0.54 (define @t106 () (not @t14)) % 0.19/0.54 (define @t107 () (not @t15)) % 0.19/0.54 (define @t108 () (not @t34)) % 0.19/0.54 (define @t109 () (not @t16)) % 0.19/0.54 (define @t110 () (or @t109 @t108 @t107 @t106 @t105 @t104 @t103)) % 0.19/0.54 (define @t111 () (forall @t32 (not @t31))) % 0.19/0.54 (define @t112 () (not @t111)) % 0.19/0.54 (define @t113 () (not @t91)) % 0.19/0.54 (define @t114 () (not @t60)) % 0.19/0.54 (define @t115 () (not @t59)) % 0.19/0.54 (define @t116 () (not @t58)) % 0.19/0.54 (define @t117 () (not @t57)) % 0.19/0.54 (define @t118 () (not @t56)) % 0.19/0.54 (define @t119 () (not @t55)) % 0.19/0.54 (define @t120 () (not @t54)) % 0.19/0.54 (define @t121 () (or @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113)) % 0.19/0.54 (define @t122 () (tptp.part_of @t93 @t94)) % 0.19/0.54 (define @t123 () (tptp.part_of @t92 @t94)) % 0.19/0.54 (define @t124 () (not @t123)) % 0.19/0.54 (define @t125 () (tptp.cnt @t92 @t62 tptp.concert_ds)) % 0.19/0.54 (define @t126 () (not @t125)) % 0.19/0.54 (define @t127 () (tptp.bearer @t92 tptp.marketplace)) % 0.19/0.54 (define @t128 () (not @t127)) % 0.19/0.54 (define @t129 () (tptp.subjection @t92)) % 0.19/0.54 (define @t130 () (not @t129)) % 0.19/0.54 (define @t131 () (not @t122)) % 0.19/0.54 (define @t132 () (tptp.cnt @t93 @t62 tptp.concert_ds)) % 0.19/0.54 (define @t133 () (not @t132)) % 0.19/0.54 (define @t134 () (tptp.bearer @t93 tptp.philharmonie)) % 0.19/0.54 (define @t135 () (not @t134)) % 0.19/0.54 (define @t136 () (tptp.power @t93)) % 0.19/0.54 (define @t137 () (not @t136)) % 0.19/0.54 (define @t138 () (tptp.founds_rem tptp.e1 @t94 tptp.f1)) % 0.19/0.54 (define @t139 () (not @t138)) % 0.19/0.54 (define @t140 () (or @t139 @t137 @t135 @t133 @t131 @t130 @t128 @t126 @t124)) % 0.19/0.54 (define @t141 () (@list true)) % 0.19/0.54 (define @t142 () (@list @t140)) % 0.19/0.54 (define @t143 () (tptp.about_event @t93 tptp.e1)) % 0.19/0.54 (define @t144 () (or @t137 @t133 @t131 @t139 @t143)) % 0.19/0.54 (define @t145 () (tptp.about_event @t92 tptp.e1)) % 0.19/0.54 (define @t146 () (not @t145)) % 0.19/0.54 (define @t147 () (not @t143)) % 0.19/0.54 (define @t148 () (or @t139 @t137 @t135 @t133 @t131 @t147 @t130 @t128 @t126 @t124 @t146)) % 0.19/0.54 (define @t149 () (or @t130 @t126 @t124 @t139 @t145)) % 0.19/0.54 (define @t150 () (not @t149)) % 0.19/0.54 (define @t151 () (forall @t52 @t76)) % 0.19/0.54 (assume @p1 (forall @t17 (=> (and @t16 @t15 @t14 @t13 @t12 @t11) (exists (@list @t1 @t7 @t2) (and (tptp.founds @t10 @t1 @t9) (tptp.duty @t7) (tptp.bearer @t7 @t8) (tptp.cnt @t7 @t5 @t3) (tptp.part_of @t7 @t1) (tptp.right @t2) (tptp.bearer @t2 @t6) (tptp.cnt @t2 @t5 @t3) (tptp.part_of @t2 @t1)))))) % 0.19/0.54 (assume @p2 @t37) % 0.19/0.54 (assume @p3 (forall (@list @t8 @t4 @t3 @t38) (=> (tptp.norm_state_change @t8 @t4 @t3 @t38) (exists @t40 (and @t39 (tptp.triggers @t10 @t8 @t4 @t3 @t38)))))) % 0.19/0.54 (assume @p4 (forall @t40 (=> @t39 (exists (@list @t6) @t41)))) % 0.19/0.54 (assume @p5 (forall (@list @t6 @t10) (=> @t41 (exists (@list @t25 @t19 @t8) (and @t29 @t28 @t43 @t24 @t23 @t42))))) % 0.19/0.54 (assume @p6 (forall (@list @t9 @t8 @t4 @t3) (=> (and @t16 @t34 @t13 @t12 @t15 (tptp.does @t8 @t4 @t3)) (exists (@list @t44) (and (tptp.rem_act @t9 @t44) (tptp.norm_state_change @t8 @t44 @t3 tptp.duty_rem)))))) % 0.19/0.54 (assume @p7 @t49) % 0.19/0.54 (assume @p8 @t53) % 0.19/0.54 (assume @p9 (tptp.agent tptp.marketplace)) % 0.19/0.54 (assume @p10 (tptp.agent tptp.philharmonie)) % 0.19/0.54 (assume @p11 (tptp.action tptp.distrib)) % 0.19/0.54 (assume @p12 (tptp.target tptp.concert_ds)) % 0.19/0.54 (assume @p13 (tptp.rule tptp.f1)) % 0.19/0.54 (assume @p14 (tptp.event tptp.e1)) % 0.19/0.54 (assume @p15 @t54) % 0.19/0.54 (assume @p16 @t55) % 0.19/0.54 (assume @p17 @t56) % 0.19/0.54 (assume @p18 @t57) % 0.19/0.54 (assume @p19 @t58) % 0.19/0.54 (assume @p20 @t59) % 0.19/0.54 (assume @p21 @t60) % 0.19/0.54 (assume @p22 (tptp.does tptp.marketplace tptp.distrib tptp.concert_ds)) % 0.19/0.54 (assume @p23 @t71) % 0.19/0.54 (assume @p24 true) % 0.19/0.54 (step @p25 :rule aci_norm :args ((= (or @t77 @t42) @t76))) % 0.19/0.54 (step @p26 :rule refl :args (@t42)) % 0.19/0.54 (step @p27 :rule aci_norm :args ((= (or @t75 (or @t74 (or @t73 @t72))) @t77))) % 0.19/0.54 (step @p28 :rule bool-and-de-morgan :args (@t50 @t46 true)) % 0.19/0.54 (step @p29 :rule refl :args (@t74)) % 0.19/0.54 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t74 (not (and @t50 @t46))))) % 0.19/0.54 (step @p31 :rule bool-and-de-morgan :args (@t22 @t50 (and @t46))) % 0.19/0.54 (step @p32 :rule trans :premises (@p31 @p30)) % 0.19/0.54 (step @p33 :rule refl :args (@t75)) % 0.19/0.54 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t75 (not (and @t22 @t50 @t46))))) % 0.19/0.54 (step @p35 :rule bool-and-de-morgan :args (@t24 @t22 (and @t50 @t46))) % 0.19/0.54 (step @p36 :rule trans :premises (@p35 @p34)) % 0.19/0.54 (step @p37 :rule trans :premises (@p36 @p27)) % 0.19/0.54 (step @p38 :rule nary_cong :premises (@p37 @p26) :args ((or (not @t51) @t42))) % 0.19/0.54 (step @p39 :rule trans :premises (@p38 @p25)) % 0.19/0.54 (step @p40 :rule bool-impl-elim :args (@t51 @t42)) % 0.19/0.54 (step @p41 :rule trans :premises (@p40 @p39)) % 0.19/0.54 (step @p42 :rule cong :premises (@p41) :args (@t53)) % 0.19/0.54 (step @p43 :rule eq_resolve :premises (@p8 @p42)) % 0.19/0.54 (step @p44 :rule bool-double-not-elim :args ((forall @t32 @t88))) % 0.19/0.54 (step @p45 :rule aci_norm :args ((= (or @t87 (or @t86 (or @t85 (or @t84 (or @t83 (or @t82 (or @t75 (or @t81 (or @t80 (or @t79 @t78)))))))))) @t88))) % 0.19/0.54 (step @p46 :rule bool-and-de-morgan :args (@t20 @t61 true)) % 0.19/0.54 (step @p47 :rule refl :args (@t80)) % 0.19/0.54 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t80 (not (and @t20 @t61))))) % 0.19/0.54 (step @p49 :rule bool-and-de-morgan :args (@t63 @t20 (and @t61))) % 0.19/0.54 (step @p50 :rule trans :premises (@p49 @p48)) % 0.19/0.54 (step @p51 :rule refl :args (@t81)) % 0.19/0.54 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t81 (not (and @t63 @t20 @t61))))) % 0.19/0.54 (step @p53 :rule bool-and-de-morgan :args (@t64 @t63 (and @t20 @t61))) % 0.19/0.54 (step @p54 :rule trans :premises (@p53 @p52)) % 0.19/0.54 (step @p55 :rule nary_cong :premises (@p33 @p54) :args ((or @t75 (not (and @t64 @t63 @t20 @t61))))) % 0.19/0.54 (step @p56 :rule bool-and-de-morgan :args (@t24 @t64 (and @t63 @t20 @t61))) % 0.19/0.54 (step @p57 :rule trans :premises (@p56 @p55)) % 0.19/0.54 (step @p58 :rule refl :args (@t82)) % 0.19/0.54 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t82 (not (and @t24 @t64 @t63 @t20 @t61))))) % 0.19/0.54 (step @p60 :rule bool-and-de-morgan :args (@t65 @t24 (and @t64 @t63 @t20 @t61))) % 0.19/0.54 (step @p61 :rule trans :premises (@p60 @p59)) % 0.19/0.54 (step @p62 :rule refl :args (@t83)) % 0.19/0.54 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t83 (not (and @t65 @t24 @t64 @t63 @t20 @t61))))) % 0.19/0.54 (step @p64 :rule bool-and-de-morgan :args (@t26 @t65 (and @t24 @t64 @t63 @t20 @t61))) % 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:premises (@p102 @p92) :args ((or (not @t48) @t43))) % 0.19/0.54 (step @p104 :rule trans :premises (@p103 @p91)) % 0.19/0.54 (step @p105 :rule bool-impl-elim :args (@t48 @t43)) % 0.19/0.54 (step @p106 :rule trans :premises (@p105 @p104)) % 0.19/0.54 (step @p107 :rule cong :premises (@p106) :args (@t49)) % 0.19/0.54 (step @p108 :rule eq_resolve :premises (@p7 @p107)) % 0.19/0.54 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t93 tptp.distrib tptp.concert_ds @t94 tptp.e1 tptp.f1))) % 0.19/0.54 (step @p110 :rule aci_norm :args ((= (or @t110 @t102) (or @t109 @t108 @t107 @t106 @t105 @t104 @t103 @t102)))) % 0.19/0.54 (step @p111 :rule refl :args (@t102)) % 0.19/0.54 (step @p112 :rule aci_norm :args ((= (or @t109 (or @t108 (or @t107 (or @t106 (or @t105 (or @t104 @t103)))))) @t110))) % 0.19/0.54 (step @p113 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.19/0.54 (step @p114 :rule refl :args (@t105)) % 0.19/0.54 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t105 (not (and @t12 @t11))))) % 0.19/0.54 (step @p116 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11))) % 0.19/0.54 (step @p117 :rule trans :premises (@p116 @p115)) % 0.19/0.54 (step @p118 :rule refl :args (@t106)) % 0.19/0.54 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t106 (not (and @t13 @t12 @t11))))) % 0.19/0.54 (step @p120 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11))) % 0.19/0.54 (step @p121 :rule trans :premises (@p120 @p119)) % 0.19/0.54 (step @p122 :rule refl :args (@t107)) % 0.19/0.54 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t107 (not (and @t14 @t13 @t12 @t11))))) % 0.19/0.54 (step @p124 :rule bool-and-de-morgan :args (@t15 @t14 (and @t13 @t12 @t11))) % 0.19/0.54 (step @p125 :rule trans :premises (@p124 @p123)) % 0.19/0.54 (step @p126 :rule refl :args (@t108)) % 0.19/0.54 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t108 (not (and @t15 @t14 @t13 @t12 @t11))))) % 0.19/0.54 (step @p128 :rule bool-and-de-morgan :args (@t34 @t15 (and @t14 @t13 @t12 @t11))) % 0.19/0.54 (step @p129 :rule trans :premises (@p128 @p127)) % 0.19/0.54 (step @p130 :rule refl :args (@t109)) % 0.19/0.54 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t109 (not (and @t34 @t15 @t14 @t13 @t12 @t11))))) % 0.19/0.54 (step @p132 :rule bool-and-de-morgan :args (@t16 @t34 (and @t15 @t14 @t13 @t12 @t11))) % 0.19/0.54 (step @p133 :rule trans :premises (@p132 @p131)) % 0.19/0.54 (step @p134 :rule trans :premises (@p133 @p112)) % 0.19/0.54 (step @p135 :rule nary_cong :premises (@p134 @p111) :args ((or (not @t35) @t102))) % 0.19/0.54 (step @p136 :rule trans :premises (@p135 @p110)) % 0.19/0.54 (step @p137 :rule bool-impl-elim :args (@t35 @t102)) % 0.19/0.54 (step @p138 :rule trans :premises (@p137 @p136)) % 0.19/0.54 (step @p139 :rule cong :premises (@p138) :args ((forall @t17 (=> @t35 @t102)))) % 0.19/0.54 (step @p140 :rule aci_norm :args ((= (or @t100 (or @t86 (or @t99 (or @t96 (or @t83 (or @t75 (or @t98 (or @t74 @t79)))))))) @t101))) % 0.19/0.54 (step @p141 :rule bool-and-de-morgan :args (@t22 @t20 true)) % 0.19/0.54 (step @p142 :rule refl :args (@t98)) % 0.19/0.54 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t98 (not (and @t22 @t20))))) % 0.19/0.54 (step @p144 :rule bool-and-de-morgan :args (@t23 @t22 (and @t20))) % 0.19/0.54 (step @p145 :rule trans :premises (@p144 @p143)) % 0.19/0.54 (step @p146 :rule nary_cong :premises (@p33 @p145) :args ((or @t75 (not (and @t23 @t22 @t20))))) % 0.19/0.54 (step @p147 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22 @t20))) % 0.19/0.54 (step @p148 :rule trans :premises (@p147 @p146)) % 0.19/0.54 (step @p149 :rule nary_cong :premises (@p62 @p148) :args ((or @t83 (not (and @t24 @t23 @t22 @t20))))) % 0.19/0.54 (step @p150 :rule bool-and-de-morgan :args (@t26 @t24 (and @t23 @t22 @t20))) % 0.19/0.54 (step @p151 :rule trans :premises (@p150 @p149)) % 0.19/0.54 (step @p152 :rule nary_cong :premises (@p95 @p151) :args ((or @t96 (not (and @t26 @t24 @t23 @t22 @t20))))) % 0.19/0.54 (step @p153 :rule bool-and-de-morgan :args (@t27 @t26 (and @t24 @t23 @t22 @t20))) % 0.19/0.54 (step @p154 :rule trans :premises (@p153 @p152)) % 0.19/0.54 (step @p155 :rule refl :args (@t99)) % 0.19/0.54 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t99 (not (and @t27 @t26 @t24 @t23 @t22 @t20))))) % 0.19/0.54 (step @p157 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t24 @t23 @t22 @t20))) % 0.19/0.54 (step @p158 :rule trans :premises (@p157 @p156)) % 0.19/0.54 (step @p159 :rule nary_cong :premises (@p74 @p158) :args ((or @t86 (not (and @t28 @t27 @t26 @t24 @t23 @t22 @t20))))) % 0.19/0.54 (step @p160 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t26 @t24 @t23 @t22 @t20))) % 0.19/0.54 (step @p161 :rule trans :premises (@p160 @p159)) % 0.19/0.54 (step @p162 :rule refl :args (@t100)) % 0.19/0.54 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t100 (not (and @t29 @t28 @t27 @t26 @t24 @t23 @t22 @t20))))) % 0.19/0.54 (step @p164 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t27 @t26 @t24 @t23 @t22 @t20))) % 0.19/0.54 (step @p165 :rule trans :premises (@p164 @p163)) % 0.19/0.54 (step @p166 :rule trans :premises (@p165 @p140)) % 0.19/0.54 (step @p167 :rule cong :premises (@p166) :args (@t111)) % 0.19/0.54 (step @p168 :rule cong :premises (@p167) :args (@t112)) % 0.19/0.54 (step @p169 :rule exists-elim :args ((= @t33 @t112))) % 0.19/0.54 (step @p170 :rule trans :premises (@p169 @p168)) % 0.19/0.54 (step @p171 :rule refl :args (@t35)) % 0.19/0.54 (step @p172 :rule cong :premises (@p171 @p170) :args (@t36)) % 0.19/0.54 (step @p173 :rule cong :premises (@p172) :args (@t37)) % 0.19/0.54 (step @p174 :rule trans :premises (@p173 @p139)) % 0.19/0.54 (step @p175 :rule eq_resolve :premises (@p2 @p174)) % 0.19/0.54 (step @p176 :rule instantiate :premises (@p175) :args ((@list tptp.f1 tptp.marketplace tptp.philharmonie tptp.distrib tptp.concert_ds tptp.e1))) % 0.19/0.54 (step @p177 :rule cnf_or_pos :args (@t121)) % 0.19/0.54 (step @p178 :rule reordering :premises (@p177) :args ((or @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 (not @t121)))) % 0.19/0.54 (step @p179 :rule chain_m_resolution :premises (@p178 @p15 @p16 @p17 @p18 @p19 @p20 @p21 @p176) :args (@t113 (@list false false false false false false false false) (@list @t54 @t55 @t56 @t57 @t58 @t59 @t60 @t121))) % 0.19/0.54 (step @p180 :rule skolemize :premises (@p179)) % 0.19/0.54 (step @p181 :rule bool-double-not-elim :args (@t122)) % 0.19/0.54 (step @p182 :rule refl :args (@t140)) % 0.19/0.54 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t140 (not @t131)))) % 0.19/0.54 (step @p184 :rule cnf_or_neg :args (@t140 4)) % 0.19/0.54 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.19/0.54 (step @p186 :rule reordering :premises (@p185) :args ((or @t122 @t140))) % 0.19/0.54 (step @p187 :rule chain_m_resolution :premises (@p186 @p180) :args (@t122 @t141 @t142)) % 0.19/0.54 (step @p188 :rule bool-double-not-elim :args (@t132)) % 0.19/0.54 (step @p189 :rule nary_cong :premises (@p182 @p188) :args ((or @t140 (not @t133)))) % 0.19/0.54 (step @p190 :rule cnf_or_neg :args (@t140 3)) % 0.19/0.54 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.19/0.54 (step @p192 :rule reordering :premises (@p191) :args ((or @t132 @t140))) % 0.19/0.54 (step @p193 :rule chain_m_resolution :premises (@p192 @p180) :args (@t132 @t141 @t142)) % 0.19/0.54 (step @p194 :rule bool-double-not-elim :args (@t136)) % 0.19/0.54 (step @p195 :rule nary_cong :premises (@p182 @p194) :args ((or @t140 (not @t137)))) % 0.19/0.54 (step @p196 :rule cnf_or_neg :args (@t140 1)) % 0.19/0.54 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 0.19/0.54 (step @p198 :rule reordering :premises (@p197) :args ((or @t136 @t140))) % 0.19/0.54 (step @p199 :rule chain_m_resolution :premises (@p198 @p180) :args (@t136 @t141 @t142)) % 0.19/0.54 (step @p200 :rule bool-double-not-elim :args (@t138)) % 0.19/0.54 (step @p201 :rule nary_cong :premises (@p182 @p200) :args ((or @t140 (not @t139)))) % 0.19/0.54 (step @p202 :rule cnf_or_neg :args (@t140 0)) % 0.19/0.54 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 0.19/0.54 (step @p204 :rule reordering :premises (@p203) :args ((or @t138 @t140))) % 0.19/0.54 (step @p205 :rule chain_m_resolution :premises (@p204 @p180) :args (@t138 @t141 @t142)) % 0.19/0.54 (step @p206 :rule cnf_or_pos :args (@t144)) % 0.19/0.54 (step @p207 :rule reordering :premises (@p206) :args ((or @t139 @t137 @t133 @t131 @t143 (not @t144)))) % 0.19/0.54 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p199 @p193 @p187 @p109) :args (@t143 (@list false false false false false) (@list @t138 @t136 @t132 @t122 @t144))) % 0.19/0.54 (step @p209 :rule bool-double-not-elim :args (@t123)) % 0.19/0.54 (step @p210 :rule nary_cong :premises (@p182 @p209) :args ((or @t140 (not @t124)))) % 0.19/0.54 (step @p211 :rule cnf_or_neg :args (@t140 8)) % 0.19/0.54 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.19/0.54 (step @p213 :rule reordering :premises (@p212) :args ((or @t123 @t140))) % 0.19/0.54 (step @p214 :rule chain_m_resolution :premises (@p213 @p180) :args (@t123 @t141 @t142)) % 0.19/0.54 (step @p215 :rule bool-double-not-elim :args (@t125)) % 0.19/0.54 (step @p216 :rule nary_cong :premises (@p182 @p215) :args ((or @t140 (not @t126)))) % 0.19/0.54 (step @p217 :rule cnf_or_neg :args (@t140 7)) % 0.19/0.54 (step @p218 :rule eq_resolve :premises (@p217 @p216)) % 0.19/0.54 (step @p219 :rule reordering :premises (@p218) :args ((or @t125 @t140))) % 0.19/0.54 (step @p220 :rule chain_m_resolution :premises (@p219 @p180) :args (@t125 @t141 @t142)) % 0.19/0.54 (step @p221 :rule bool-double-not-elim :args (@t127)) % 0.19/0.54 (step @p222 :rule nary_cong :premises (@p182 @p221) :args ((or @t140 (not @t128)))) % 0.19/0.54 (step @p223 :rule cnf_or_neg :args (@t140 6)) % 0.19/0.54 (step @p224 :rule eq_resolve :premises (@p223 @p222)) % 0.19/0.54 (step @p225 :rule reordering :premises (@p224) :args ((or @t127 @t140))) % 0.19/0.54 (step @p226 :rule chain_m_resolution :premises (@p225 @p180) :args (@t127 @t141 @t142)) % 0.19/0.54 (step @p227 :rule bool-double-not-elim :args (@t129)) % 0.19/0.54 (step @p228 :rule nary_cong :premises (@p182 @p227) :args ((or @t140 (not @t130)))) % 0.19/0.54 (step @p229 :rule cnf_or_neg :args (@t140 5)) % 0.19/0.54 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 0.19/0.54 (step @p231 :rule reordering :premises (@p230) :args ((or @t129 @t140))) % 0.19/0.54 (step @p232 :rule chain_m_resolution :premises (@p231 @p180) :args (@t129 @t141 @t142)) % 0.19/0.54 (step @p233 :rule bool-double-not-elim :args (@t134)) % 0.19/0.54 (step @p234 :rule nary_cong :premises (@p182 @p233) :args ((or @t140 (not @t135)))) % 0.19/0.54 (step @p235 :rule cnf_or_neg :args (@t140 2)) % 0.19/0.54 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 0.19/0.54 (step @p237 :rule reordering :premises (@p236) :args ((or @t134 @t140))) % 0.19/0.54 (step @p238 :rule chain_m_resolution :premises (@p237 @p180) :args (@t134 @t141 @t142)) % 0.19/0.54 (step @p239 :rule cnf_or_pos :args (@t148)) % 0.19/0.54 (step @p240 :rule reordering :premises (@p239) :args ((or @t139 @t137 @t135 @t133 @t131 @t130 @t128 @t126 @t124 @t147 @t146 (not @t148)))) % 0.19/0.54 (step @p241 :rule chain_m_resolution :premises (@p240 @p205 @p199 @p238 @p193 @p187 @p232 @p226 @p220 @p214 @p208 @p90) :args (@t146 (@list false false false false false false false false false false false) (@list @t138 @t136 @t134 @t132 @t122 @t129 @t127 @t125 @t123 @t143 @t148))) % 0.19/0.54 (step @p242 :rule cnf_or_pos :args (@t149)) % 0.19/0.54 (step @p243 :rule reordering :premises (@p242) :args ((or @t139 @t130 @t126 @t124 @t145 @t150))) % 0.19/0.54 (step @p244 :rule chain_m_resolution :premises (@p243 @p205 @p232 @p220 @p214 @p241) :args (@t150 (@list false false false false true) (@list @t138 @t129 @t125 @t123 @t145))) % 0.19/0.54 (assume-push @p251 @t151) % 0.19/0.54 (step @p246 :rule instantiate :premises (@p43) :args ((@list @t92 tptp.distrib tptp.concert_ds @t94 tptp.e1 tptp.f1))) % 0.19/0.54 (step-pop @p252 :rule scope :premises (@p246)) % 0.19/0.54 (step @p247 :rule process_scope :premises (@p252) :args (@t149)) % 0.19/0.54 (step @p249 :rule implies_elim :premises (@p247)) % 0.19/0.54 (step @p250 false :rule chain_m_resolution :premises (@p249 @p244 @p43) :args (false (@list true false) (@list @t149 @t151))) % 0.19/0.54 ) % 0.19/0.54 % SZS output end Proof % 0.19/0.54 % cvc5 exiting %------------------------------------------------------------------------------