%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT042-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 06:04:50 AM UTC 2026 % Result : Unsatisfiable 0.20s 0.53s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT042-1 : TPTP v9.3.0. Released v2.4.0. % 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 : n003.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 13:06:39 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.10/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.53 % SZS status Unsatisfiable % 0.20/0.53 % SZS output start Proof % 0.20/0.55 ( % 0.20/0.55 (declare-sort $$unsorted 0) % 0.20/0.55 (declare-const tptp.sk3 $$unsorted) % 0.20/0.55 (declare-const tptp.sk2 $$unsorted) % 0.20/0.55 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.20/0.55 (declare-const tptp.stock_of_knowledge (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.55 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.20/0.55 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.20/0.55 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.20/0.55 (declare-const tptp.position (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.55 (declare-const tptp.capability (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.55 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.20/0.55 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.20/0.55 (declare-const tptp.internal_friction (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.55 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.55 (declare-const tptp.external_ties (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.55 (declare-const tptp.sk1 $$unsorted) % 0.20/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.20/0.55 (define @t2 () (@var "A" $$unsorted)) % 0.20/0.55 (define @t3 () (= @t2 @t1)) % 0.20/0.55 (define @t4 () (tptp.smaller @t2 @t1)) % 0.20/0.55 (define @t5 () (tptp.smaller_or_equal @t2 @t1)) % 0.20/0.55 (define @t6 () (@list @t2 @t1)) % 0.20/0.55 (define @t7 () (not @t4)) % 0.20/0.55 (define @t8 () (not @t3)) % 0.20/0.55 (define @t9 () (or @t8 @t5)) % 0.20/0.55 (define @t10 () (forall @t6 @t9)) % 0.20/0.55 (define @t11 () (tptp.greater @t2 @t1)) % 0.20/0.55 (define @t12 () (tptp.greater_or_equal @t2 @t1)) % 0.20/0.55 (define @t13 () (forall @t6 (or (not @t12) @t11 @t3))) % 0.20/0.55 (define @t14 () (not @t11)) % 0.20/0.55 (define @t15 () (or @t8 @t12)) % 0.20/0.55 (define @t16 () (forall @t6 @t15)) % 0.20/0.55 (define @t17 () (tptp.greater @t1 @t2)) % 0.20/0.55 (define @t18 () (@var "C" $$unsorted)) % 0.20/0.55 (define @t19 () (@list @t2 @t1 @t18)) % 0.20/0.55 (define @t20 () (tptp.hazard_of_mortality @t2 @t1)) % 0.20/0.55 (define @t21 () (tptp.hazard_of_mortality @t2 @t18)) % 0.20/0.55 (define @t22 () (tptp.smaller @t21 @t20)) % 0.20/0.55 (define @t23 () (tptp.position @t2 @t1)) % 0.20/0.55 (define @t24 () (tptp.position @t2 @t18)) % 0.20/0.55 (define @t25 () (tptp.capability @t2 @t1)) % 0.20/0.55 (define @t26 () (tptp.capability @t2 @t18)) % 0.20/0.55 (define @t27 () (tptp.has_immunity @t2 @t18)) % 0.20/0.55 (define @t28 () (tptp.has_immunity @t2 @t1)) % 0.20/0.55 (define @t29 () (not (tptp.organization @t2))) % 0.20/0.55 (define @t30 () (= @t24 @t23)) % 0.20/0.55 (define @t31 () (= @t26 @t25)) % 0.20/0.55 (define @t32 () (tptp.internal_friction @t2 @t18)) % 0.20/0.55 (define @t33 () (tptp.internal_friction @t2 @t1)) % 0.20/0.55 (define @t34 () (tptp.stock_of_knowledge @t2 @t18)) % 0.20/0.55 (define @t35 () (tptp.stock_of_knowledge @t2 @t1)) % 0.20/0.55 (define @t36 () (not (= @t33 @t32))) % 0.20/0.55 (define @t37 () (not (= @t35 @t34))) % 0.20/0.55 (define @t38 () (or @t29 @t37 @t36 (= @t25 @t26))) % 0.20/0.55 (define @t39 () (forall @t19 @t38)) % 0.20/0.55 (define @t40 () (tptp.external_ties @t2 @t18)) % 0.20/0.55 (define @t41 () (tptp.external_ties @t2 @t1)) % 0.20/0.55 (define @t42 () (not (= @t41 @t40))) % 0.20/0.55 (define @t43 () (or @t29 @t42 (= @t23 @t24))) % 0.20/0.55 (define @t44 () (forall @t19 @t43)) % 0.20/0.55 (define @t45 () (tptp.organization tptp.sk1)) % 0.20/0.55 (define @t46 () (tptp.has_immunity tptp.sk1 tptp.sk2)) % 0.20/0.55 (define @t47 () (tptp.has_immunity tptp.sk1 tptp.sk3)) % 0.20/0.55 (define @t48 () (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)) % 0.20/0.55 (define @t49 () (tptp.stock_of_knowledge tptp.sk1 tptp.sk3)) % 0.20/0.55 (define @t50 () (tptp.greater_or_equal @t49 @t48)) % 0.20/0.55 (define @t51 () (tptp.greater @t49 @t48)) % 0.20/0.55 (define @t52 () (tptp.internal_friction tptp.sk1 tptp.sk2)) % 0.20/0.55 (define @t53 () (tptp.internal_friction tptp.sk1 tptp.sk3)) % 0.20/0.55 (define @t54 () (tptp.smaller_or_equal @t53 @t52)) % 0.20/0.55 (define @t55 () (tptp.external_ties tptp.sk1 tptp.sk2)) % 0.20/0.55 (define @t56 () (tptp.external_ties tptp.sk1 tptp.sk3)) % 0.20/0.55 (define @t57 () (tptp.greater @t56 @t55)) % 0.20/0.55 (define @t58 () (tptp.greater_or_equal @t56 @t55)) % 0.20/0.55 (define @t59 () (or @t54 @t54)) % 0.20/0.55 (define @t60 () (tptp.smaller (tptp.hazard_of_mortality tptp.sk1 tptp.sk3) (tptp.hazard_of_mortality tptp.sk1 tptp.sk2))) % 0.20/0.55 (define @t61 () (not @t60)) % 0.20/0.55 (define @t62 () (or @t61 @t61)) % 0.20/0.55 (define @t63 () (tptp.greater_or_equal @t1 @t1)) % 0.20/0.55 (define @t64 () (not (= @t1 @t1))) % 0.20/0.55 (define @t65 () (or @t64 @t63)) % 0.20/0.55 (define @t66 () (@list @t1)) % 0.20/0.55 (define @t67 () (or @t8 @t8 @t12)) % 0.20/0.55 (define @t68 () (@list @t2)) % 0.20/0.55 (define @t69 () (forall @t68 @t15)) % 0.20/0.55 (define @t70 () (forall @t66 @t69)) % 0.20/0.55 (define @t71 () (@list @t1 @t2)) % 0.20/0.55 (define @t72 () (forall @t71 @t15)) % 0.20/0.55 (define @t73 () (tptp.capability tptp.sk1 tptp.sk3)) % 0.20/0.55 (define @t74 () (@list tptp.sk1 tptp.sk2 tptp.sk3)) % 0.20/0.55 (define @t75 () (@list tptp.sk1 tptp.sk3 tptp.sk2)) % 0.20/0.55 (define @t76 () (tptp.capability tptp.sk1 tptp.sk2)) % 0.20/0.55 (define @t77 () (tptp.greater @t73 @t76)) % 0.20/0.55 (define @t78 () (not @t54)) % 0.20/0.55 (define @t79 () (not @t51)) % 0.20/0.55 (define @t80 () (not @t45)) % 0.20/0.55 (define @t81 () (or @t80 @t79 @t78 @t77)) % 0.20/0.55 (define @t82 () (= @t56 @t55)) % 0.20/0.55 (define @t83 () (not @t58)) % 0.20/0.55 (define @t84 () (or @t83 @t57 @t82)) % 0.20/0.55 (define @t85 () (tptp.position tptp.sk1 tptp.sk2)) % 0.20/0.55 (define @t86 () (tptp.position tptp.sk1 tptp.sk3)) % 0.20/0.55 (define @t87 () (tptp.greater_or_equal @t86 @t85)) % 0.20/0.55 (define @t88 () (not @t87)) % 0.20/0.55 (define @t89 () (not @t77)) % 0.20/0.55 (define @t90 () (or @t80 @t46 @t47 @t89 @t88 @t60)) % 0.20/0.55 (define @t91 () (= @t86 @t85)) % 0.20/0.55 (define @t92 () (not (= @t55 @t56))) % 0.20/0.55 (define @t93 () (or @t80 @t92 @t91)) % 0.20/0.55 (define @t94 () (forall @t19 (or @t29 @t42 @t30))) % 0.20/0.55 (define @t95 () (not @t82)) % 0.20/0.55 (define @t96 () (or @t80 @t95 @t91)) % 0.20/0.55 (define @t97 () (@list false)) % 0.20/0.55 (define @t98 () (tptp.greater_or_equal @t86 @t86)) % 0.20/0.55 (define @t99 () (not @t98)) % 0.20/0.55 (define @t100 () (not @t91)) % 0.20/0.55 (define @t101 () (= false true)) % 0.20/0.55 (define @t102 () (and @t98 @t91 @t88)) % 0.20/0.55 (define @t103 () (tptp.greater @t86 @t85)) % 0.20/0.55 (define @t104 () (not @t57)) % 0.20/0.55 (define @t105 () (or @t80 @t104 @t103)) % 0.20/0.55 (define @t106 () (not @t103)) % 0.20/0.55 (define @t107 () (tptp.greater_or_equal @t73 @t76)) % 0.20/0.55 (define @t108 () (not @t107)) % 0.20/0.55 (define @t109 () (or @t80 @t46 @t47 @t108 @t106 @t60)) % 0.20/0.55 (define @t110 () (@list true true true false false false)) % 0.20/0.55 (define @t111 () (= @t73 @t76)) % 0.20/0.55 (define @t112 () (not (= @t52 @t53))) % 0.20/0.55 (define @t113 () (= @t48 @t49)) % 0.20/0.55 (define @t114 () (not @t113)) % 0.20/0.55 (define @t115 () (or @t80 @t114 @t112 @t111)) % 0.20/0.55 (define @t116 () (forall @t19 (or @t29 @t37 @t36 @t31))) % 0.20/0.55 (define @t117 () (= @t53 @t52)) % 0.20/0.55 (define @t118 () (not @t117)) % 0.20/0.55 (define @t119 () (or @t80 @t114 @t118 @t111)) % 0.20/0.55 (define @t120 () (@list @t53 @t52)) % 0.20/0.55 (define @t121 () (tptp.smaller_or_equal @t1 @t1)) % 0.20/0.55 (define @t122 () (or @t64 @t121)) % 0.20/0.55 (define @t123 () (or @t8 @t8 @t5)) % 0.20/0.55 (define @t124 () (forall @t68 @t9)) % 0.20/0.55 (define @t125 () (forall @t66 @t124)) % 0.20/0.55 (define @t126 () (forall @t71 @t9)) % 0.20/0.55 (define @t127 () (not @t50)) % 0.20/0.55 (define @t128 () (or @t127 @t51 (= @t49 @t48))) % 0.20/0.55 (define @t129 () (or @t127 @t51 @t113)) % 0.20/0.55 (define @t130 () (or @t106 @t87)) % 0.20/0.55 (define @t131 () (@list false false)) % 0.20/0.55 (define @t132 () (tptp.smaller_or_equal @t49 @t49)) % 0.20/0.55 (define @t133 () (tptp.smaller_or_equal @t48 @t49)) % 0.20/0.55 (define @t134 () (and @t113 @t132)) % 0.20/0.55 (define @t135 () (tptp.smaller @t76 @t73)) % 0.20/0.55 (define @t136 () (not @t135)) % 0.20/0.55 (define @t137 () (or @t136 @t77)) % 0.20/0.55 (define @t138 () (@list true false)) % 0.20/0.55 (define @t139 () (tptp.greater @t52 @t53)) % 0.20/0.55 (define @t140 () (not @t139)) % 0.20/0.55 (define @t141 () (not @t133)) % 0.20/0.55 (define @t142 () (or @t80 @t141 @t140 @t135)) % 0.20/0.55 (define @t143 () (tptp.smaller @t53 @t52)) % 0.20/0.55 (define @t144 () (not @t143)) % 0.20/0.55 (define @t145 () (or @t144 @t139)) % 0.20/0.55 (define @t146 () (or @t78 @t143 @t117)) % 0.20/0.55 (define @t147 () (@list false true false)) % 0.20/0.55 (define @t148 () (tptp.greater_or_equal @t73 @t73)) % 0.20/0.55 (define @t149 () (not @t148)) % 0.20/0.55 (define @t150 () (not @t111)) % 0.20/0.55 (define @t151 () (and @t148 @t111 @t108)) % 0.20/0.55 (assume @p1 (forall @t6 (or (not @t5) @t4 @t3))) % 0.20/0.55 (assume @p2 (forall @t6 (or @t7 @t5))) % 0.20/0.55 (assume @p3 @t10) % 0.20/0.55 (assume @p4 @t13) % 0.20/0.55 (assume @p5 (forall @t6 (or @t14 @t12))) % 0.20/0.55 (assume @p6 @t16) % 0.20/0.55 (assume @p7 (forall @t6 (or @t7 @t17))) % 0.20/0.55 (assume @p8 (forall @t6 (or @t14 (tptp.smaller @t1 @t2)))) % 0.20/0.55 (assume @p9 (forall @t6 (or @t14 (not @t17)))) % 0.20/0.55 (assume @p10 (forall @t19 (or @t14 (not (tptp.greater @t1 @t18)) (tptp.greater @t2 @t18)))) % 0.20/0.55 (assume @p11 (forall @t6 (or @t4 @t3 @t11))) % 0.20/0.55 (assume @p12 (forall @t19 (or @t29 @t28 @t27 (not (tptp.greater @t26 @t25)) (not (tptp.greater_or_equal @t24 @t23)) @t22))) % 0.20/0.55 (assume @p13 (forall @t19 (or @t29 @t28 @t27 (not (tptp.greater_or_equal @t26 @t25)) (not (tptp.greater @t24 @t23)) @t22))) % 0.20/0.55 (assume @p14 (forall @t19 (or @t29 @t28 @t27 (not @t31) (not @t30) (= @t21 @t20)))) % 0.20/0.55 (assume @p15 (forall @t19 (or @t29 (not (tptp.greater @t35 @t34)) (not (tptp.smaller_or_equal @t33 @t32)) (tptp.greater @t25 @t26)))) % 0.20/0.55 (assume @p16 (forall @t19 (or @t29 (not (tptp.smaller_or_equal @t35 @t34)) (not (tptp.greater @t33 @t32)) (tptp.smaller @t25 @t26)))) % 0.20/0.55 (assume @p17 @t39) % 0.20/0.55 (assume @p18 (forall @t19 (or @t29 (not (tptp.greater @t41 @t40)) (tptp.greater @t23 @t24)))) % 0.20/0.55 (assume @p19 @t44) % 0.20/0.55 (assume @p20 @t45) % 0.20/0.55 (assume @p21 (not @t46)) % 0.20/0.55 (assume @p22 (not @t47)) % 0.20/0.55 (assume @p23 (or @t51 @t50)) % 0.20/0.55 (assume @p24 (or @t51 @t54)) % 0.20/0.55 (assume @p25 (or @t51 @t57)) % 0.20/0.55 (assume @p26 (or @t54 @t50)) % 0.20/0.55 (assume @p27 (or @t58 @t50)) % 0.20/0.55 (assume @p28 @t59) % 0.20/0.55 (assume @p29 (or @t54 @t57)) % 0.20/0.55 (assume @p30 (or @t58 @t54)) % 0.20/0.55 (assume @p31 (or @t58 @t57)) % 0.20/0.55 (assume @p32 (or @t51 @t61)) % 0.20/0.55 (assume @p33 (or @t54 @t61)) % 0.20/0.55 (assume @p34 (or @t58 @t61)) % 0.20/0.55 (assume @p35 (or @t61 @t50)) % 0.20/0.55 (assume @p36 (or @t61 @t54)) % 0.20/0.55 (assume @p37 (or @t61 @t57)) % 0.20/0.55 (assume @p38 @t62) % 0.20/0.55 (step @p39 :rule aci_norm :args ((= (or false @t63) @t63))) % 0.20/0.55 (step @p40 :rule refl :args (@t63)) % 0.20/0.55 (step @p41 :rule evaluate :args ((not true))) % 0.20/0.55 (step @p42 :rule eq-refl :args (@t1)) % 0.20/0.55 (step @p43 :rule cong :premises (@p42) :args (@t64)) % 0.20/0.55 (step @p44 :rule trans :premises (@p43 @p41)) % 0.20/0.55 (step @p45 :rule nary_cong :premises (@p44 @p40) :args (@t65)) % 0.20/0.55 (step @p46 :rule trans :premises (@p45 @p39)) % 0.20/0.55 (step @p47 :rule cong :premises (@p46) :args ((forall @t66 @t65))) % 0.20/0.55 (step @p48 :rule quant-var-elim-eq :args ((= (forall @t68 @t67) @t65))) % 0.20/0.55 (step @p49 :rule aci_norm :args ((= @t15 @t67))) % 0.20/0.55 (step @p50 :rule cong :premises (@p49) :args (@t69)) % 0.20/0.55 (step @p51 :rule trans :premises (@p50 @p48)) % 0.20/0.55 (step @p52 :rule cong :premises (@p51) :args (@t70)) % 0.20/0.55 (step @p53 :rule quant-merge-prenex :args ((= @t70 @t72))) % 0.20/0.55 (step @p54 :rule symm :premises (@p53)) % 0.20/0.55 (step @p55 :rule quant_var_reordering :args ((= @t16 @t72))) % 0.20/0.55 (step @p56 :rule trans :premises (@p55 @p54 @p52)) % 0.20/0.55 (step @p57 :rule trans :premises (@p56 @p47)) % 0.20/0.55 (step @p58 :rule eq_resolve :premises (@p6 @p57)) % 0.20/0.55 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t73))) % 0.20/0.55 (step @p60 :rule instantiate :premises (@p13) :args (@t74)) % 0.20/0.55 (step @p61 :rule instantiate :premises (@p18) :args (@t75)) % 0.20/0.55 (step @p62 :rule reordering :premises (@p31) :args ((or @t57 @t58))) % 0.20/0.55 (step @p63 :rule aci_norm :args ((= @t59 @t54))) % 0.20/0.55 (step @p64 :rule eq_resolve :premises (@p28 @p63)) % 0.20/0.55 (step @p65 :rule instantiate :premises (@p15) :args (@t75)) % 0.20/0.55 (step @p66 :rule cnf_or_pos :args (@t81)) % 0.20/0.55 (step @p67 :rule reordering :premises (@p66) :args ((or @t80 @t79 @t78 @t77 (not @t81)))) % 0.20/0.55 (step @p68 :rule instantiate :premises (@p4) :args ((@list @t56 @t55))) % 0.20/0.55 (step @p69 :rule cnf_or_pos :args (@t84)) % 0.20/0.55 (step @p70 :rule reordering :premises (@p69) :args ((or @t57 @t83 @t82 (not @t84)))) % 0.20/0.55 (step @p71 :rule aci_norm :args ((= @t62 @t61))) % 0.20/0.55 (step @p72 :rule eq_resolve :premises (@p38 @p71)) % 0.20/0.55 (step @p73 :rule instantiate :premises (@p12) :args (@t74)) % 0.20/0.55 (step @p74 :rule cnf_or_pos :args (@t90)) % 0.20/0.55 (step @p75 :rule reordering :premises (@p74) :args ((or @t46 @t47 @t60 @t80 @t89 @t88 (not @t90)))) % 0.20/0.55 (step @p76 :rule eq-symm :args (@t23 @t24)) % 0.20/0.55 (step @p77 :rule refl :args (@t42)) % 0.20/0.55 (step @p78 :rule refl :args (@t29)) % 0.20/0.55 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args (@t43)) % 0.20/0.55 (step @p80 :rule cong :premises (@p79) :args (@t44)) % 0.20/0.55 (step @p81 :rule eq_resolve :premises (@p19 @p80)) % 0.20/0.55 (step @p82 :rule refl :args (@t91)) % 0.20/0.55 (step @p83 :rule eq-symm :args (@t55 @t56)) % 0.20/0.55 (step @p84 :rule cong :premises (@p83) :args (@t92)) % 0.20/0.55 (step @p85 :rule refl :args (@t80)) % 0.20/0.55 (step @p86 :rule nary_cong :premises (@p85 @p84 @p82) :args (@t93)) % 0.20/0.55 (step @p87 :rule refl :args (@t94)) % 0.20/0.55 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t94 @t93))) % 0.20/0.55 (assume-push @p271 @t94) % 0.20/0.55 (step @p90 :rule instantiate :premises (@p81) :args (@t74)) % 0.20/0.55 (step-pop @p272 :rule scope :premises (@p90)) % 0.20/0.55 (step @p91 :rule process_scope :premises (@p272) :args (@t93)) % 0.20/0.55 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 0.20/0.55 (step @p94 :rule implies_elim :premises (@p93)) % 0.20/0.55 (step @p95 :rule chain_m_resolution :premises (@p94 @p81) :args (@t96 @t97 (@list @t94))) % 0.20/0.55 (step @p96 :rule cnf_or_pos :args (@t96)) % 0.20/0.55 (step @p97 :rule reordering :premises (@p96) :args ((or @t80 @t91 @t95 (not @t96)))) % 0.20/0.55 (step @p98 :rule instantiate :premises (@p58) :args ((@list @t86))) % 0.20/0.55 (step @p99 :rule refl :args (@t99)) % 0.20/0.55 (step @p100 :rule refl :args (@t100)) % 0.20/0.55 (step @p101 :rule bool-double-not-elim :args (@t87)) % 0.20/0.55 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args ((or (not @t88) @t100 @t99))) % 0.20/0.55 (assume-push @p273 @t98) % 0.20/0.55 (assume-push @p274 @t91) % 0.20/0.55 (assume-push @p275 @t88) % 0.20/0.55 (step @p106 :rule evaluate :args (@t101)) % 0.20/0.55 (step @p107 :rule true_intro :premises (@p98)) % 0.20/0.55 (step @p108 :rule symm :premises (@p274)) % 0.20/0.55 (step @p109 :rule refl :args (@t86)) % 0.20/0.55 (step @p110 :rule cong :premises (@p109 @p108) :args (@t87)) % 0.20/0.55 (step @p111 :rule false_intro :premises (@p275)) % 0.20/0.55 (step @p112 :rule symm :premises (@p111)) % 0.20/0.55 (step @p113 :rule trans :premises (@p112 @p110 @p107)) % 0.20/0.55 (step @p114 false :rule eq_resolve :premises (@p113 @p106)) % 0.20/0.55 (step-pop @p276 :rule scope :premises (@p114)) % 0.20/0.55 (step-pop @p277 :rule scope :premises (@p276)) % 0.20/0.55 (step-pop @p278 :rule scope :premises (@p277)) % 0.20/0.55 (step @p115 :rule process_scope :premises (@p278) :args (false)) % 0.20/0.55 (assume-push @p279 @t88) % 0.20/0.55 (assume-push @p280 @t91) % 0.20/0.55 (assume-push @p281 @t98) % 0.20/0.55 (step @p122 :rule and_intro :premises (@p98 @p280 @p279)) % 0.20/0.55 (step-pop @p282 :rule scope :premises (@p122)) % 0.20/0.55 (step-pop @p283 :rule scope :premises (@p282)) % 0.20/0.55 (step-pop @p284 :rule scope :premises (@p283)) % 0.20/0.55 (step @p123 :rule process_scope :premises (@p284) :args (@t102)) % 0.20/0.55 (step @p127 :rule implies_elim :premises (@p123)) % 0.20/0.55 (step @p128 :rule resolution :premises (@p127 @p115) :args (true @t102)) % 0.20/0.55 (step @p129 :rule not_and :premises (@p128)) % 0.20/0.55 (step @p130 :rule eq_resolve :premises (@p129 @p102)) % 0.20/0.55 (step @p131 :rule chain_m_resolution :premises (@p130 @p98 @p97 @p95 @p20 @p75 @p73 @p72 @p22 @p21 @p20 @p70 @p68 @p67 @p65 @p64 @p20 @p62 @p25) :args (@t57 (@list false false false false true false true true true false false false false false false false false false) (@list @t98 @t91 @t96 @t45 @t87 @t90 @t60 @t47 @t46 @t45 @t82 @t84 @t77 @t81 @t54 @t45 @t58 @t51))) % 0.20/0.55 (step @p132 :rule cnf_or_pos :args (@t105)) % 0.20/0.55 (step @p133 :rule reordering :premises (@p132) :args ((or @t80 @t104 @t103 (not @t105)))) % 0.20/0.55 (step @p134 :rule chain_m_resolution :premises (@p133 @p20 @p131 @p61) :args (@t103 (@list false false false) (@list @t45 @t57 @t105))) % 0.20/0.55 (step @p135 :rule cnf_or_pos :args (@t109)) % 0.20/0.55 (step @p136 :rule reordering :premises (@p135) :args ((or @t46 @t47 @t60 @t80 @t108 @t106 (not @t109)))) % 0.20/0.55 (step @p137 :rule chain_m_resolution :premises (@p136 @p21 @p22 @p72 @p20 @p134 @p60) :args (@t108 @t110 (@list @t46 @t47 @t60 @t45 @t103 @t109))) % 0.20/0.55 (step @p138 :rule eq-symm :args (@t25 @t26)) % 0.20/0.55 (step @p139 :rule refl :args (@t36)) % 0.20/0.55 (step @p140 :rule refl :args (@t37)) % 0.20/0.55 (step @p141 :rule nary_cong :premises (@p78 @p140 @p139 @p138) :args (@t38)) % 0.20/0.55 (step @p142 :rule cong :premises (@p141) :args (@t39)) % 0.20/0.55 (step @p143 :rule eq_resolve :premises (@p17 @p142)) % 0.20/0.55 (step @p144 :rule refl :args (@t111)) % 0.20/0.55 (step @p145 :rule eq-symm :args (@t52 @t53)) % 0.20/0.55 (step @p146 :rule cong :premises (@p145) :args (@t112)) % 0.20/0.55 (step @p147 :rule refl :args (@t114)) % 0.20/0.55 (step @p148 :rule nary_cong :premises (@p85 @p147 @p146 @p144) :args (@t115)) % 0.20/0.55 (step @p149 :rule refl :args (@t116)) % 0.20/0.55 (step @p150 :rule cong :premises (@p149 @p148) :args ((=> @t116 @t115))) % 0.20/0.55 (assume-push @p285 @t116) % 0.20/0.55 (step @p152 :rule instantiate :premises (@p143) :args (@t74)) % 0.20/0.55 (step-pop @p286 :rule scope 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@p167 :rule aci_norm :args ((= @t9 @t123))) % 0.20/0.55 (step @p168 :rule cong :premises (@p167) :args (@t124)) % 0.20/0.55 (step @p169 :rule trans :premises (@p168 @p166)) % 0.20/0.55 (step @p170 :rule cong :premises (@p169) :args (@t125)) % 0.20/0.55 (step @p171 :rule quant-merge-prenex :args ((= @t125 @t126))) % 0.20/0.55 (step @p172 :rule symm :premises (@p171)) % 0.20/0.55 (step @p173 :rule quant_var_reordering :args ((= @t10 @t126))) % 0.20/0.55 (step @p174 :rule trans :premises (@p173 @p172 @p170)) % 0.20/0.55 (step @p175 :rule trans :premises (@p174 @p165)) % 0.20/0.55 (step @p176 :rule eq_resolve :premises (@p3 @p175)) % 0.20/0.55 (step @p177 :rule instantiate :premises (@p176) :args ((@list @t49))) % 0.20/0.55 (step @p178 :rule eq-symm :args (@t49 @t48)) % 0.20/0.55 (step @p179 :rule refl :args (@t51)) % 0.20/0.55 (step @p180 :rule refl :args (@t127)) % 0.20/0.55 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args (@t128)) % 0.20/0.55 (step @p182 :rule refl :args (@t13)) % 0.20/0.55 (step @p183 :rule cong :premises (@p182 @p181) :args ((=> @t13 @t128))) % 0.20/0.55 (assume-push @p287 @t13) % 0.20/0.55 (step @p185 :rule instantiate :premises (@p4) :args ((@list @t49 @t48))) % 0.20/0.55 (step-pop @p288 :rule scope :premises (@p185)) % 0.20/0.55 (step @p186 :rule process_scope :premises (@p288) :args (@t128)) % 0.20/0.55 (step @p188 :rule eq_resolve :premises (@p186 @p183)) % 0.20/0.55 (step @p189 :rule implies_elim :premises (@p188)) % 0.20/0.55 (step @p190 :rule chain_m_resolution :premises (@p189 @p4) :args (@t129 @t97 (@list @t13))) % 0.20/0.55 (step @p191 :rule instantiate :premises (@p5) :args ((@list @t86 @t85))) % 0.20/0.55 (step @p192 :rule cnf_or_pos :args (@t130)) % 0.20/0.55 (step @p193 :rule reordering :premises (@p192) :args ((or @t87 @t106 (not @t130)))) % 0.20/0.55 (step @p194 :rule chain_m_resolution :premises (@p193 @p134 @p191) :args (@t87 @t131 (@list @t103 @t130))) % 0.20/0.55 (step @p195 :rule chain_m_resolution :premises (@p75 @p21 @p22 @p72 @p20 @p194 @p73) :args (@t89 @t110 (@list @t46 @t47 @t60 @t45 @t87 @t90))) % 0.20/0.55 (step @p196 :rule chain_m_resolution :premises (@p67 @p20 @p64 @p195 @p65) :args (@t79 (@list false false true false) (@list @t45 @t54 @t77 @t81))) % 0.20/0.55 (step @p197 :rule chain_m_resolution :premises (@p23 @p196) :args (@t50 (@list true) (@list @t51))) % 0.20/0.55 (step @p198 :rule cnf_or_pos :args (@t129)) % 0.20/0.55 (step @p199 :rule reordering :premises (@p198) :args ((or @t51 @t127 @t113 (not @t129)))) % 0.20/0.55 (step @p200 :rule chain_m_resolution :premises (@p199 @p196 @p197 @p190) :args (@t113 (@list true false false) (@list @t51 @t50 @t129))) % 0.20/0.55 (assume-push @p289 @t113) % 0.20/0.55 (assume-push @p290 @t132) % 0.20/0.55 (assume-push @p291 @t132) % 0.20/0.55 (assume-push @p292 @t113) % 0.20/0.55 (step @p205 :rule true_intro :premises (@p177)) % 0.20/0.55 (step @p206 :rule refl :args (@t49)) % 0.20/0.55 (step @p207 :rule cong :premises (@p289 @p206) :args (@t133)) % 0.20/0.55 (step @p208 :rule trans :premises (@p207 @p205)) % 0.20/0.55 (step @p209 :rule true_elim :premises (@p208)) % 0.20/0.55 (step-pop @p293 :rule scope :premises (@p209)) % 0.20/0.55 (step-pop @p294 :rule scope :premises (@p293)) % 0.20/0.55 (step @p210 :rule process_scope :premises (@p294) :args (@t133)) % 0.20/0.55 (step @p213 :rule and_intro :premises (@p177 @p289)) % 0.20/0.55 (step @p214 :rule modus_ponens :premises (@p213 @p210)) % 0.20/0.55 (step-pop @p295 :rule scope :premises (@p214)) % 0.20/0.55 (step-pop @p296 :rule scope :premises (@p295)) % 0.20/0.55 (step @p215 :rule process_scope :premises (@p296) :args (@t133)) % 0.20/0.55 (step @p218 :rule implies_elim :premises (@p215)) % 0.20/0.55 (step @p219 :rule cnf_and_neg :args (@t134)) % 0.20/0.55 (step @p220 :rule resolution :premises (@p219 @p218) :args (true @t134)) % 0.20/0.55 (step @p221 :rule reordering :premises (@p220) :args ((or @t114 @t133 (not @t132)))) % 0.20/0.55 (step @p222 :rule chain_m_resolution :premises (@p221 @p200 @p177) :args (@t133 @t131 (@list @t113 @t132))) % 0.20/0.55 (step @p223 :rule instantiate :premises (@p7) :args ((@list @t76 @t73))) % 0.20/0.55 (step @p224 :rule cnf_or_pos :args (@t137)) % 0.20/0.55 (step @p225 :rule reordering :premises (@p224) :args ((or @t77 @t136 (not @t137)))) % 0.20/0.55 (step @p226 :rule chain_m_resolution :premises (@p225 @p195 @p223) :args (@t136 @t138 (@list @t77 @t137))) % 0.20/0.55 (step @p227 :rule cnf_or_pos :args (@t142)) % 0.20/0.55 (step @p228 :rule reordering :premises (@p227) :args ((or @t80 @t135 @t140 @t141 (not @t142)))) % 0.20/0.55 (step @p229 :rule chain_m_resolution :premises (@p228 @p20 @p226 @p222 @p160) :args (@t140 (@list false true false false) (@list @t45 @t135 @t133 @t142))) % 0.20/0.55 (step @p230 :rule cnf_or_pos :args (@t145)) % 0.20/0.55 (step @p231 :rule reordering :premises (@p230) :args ((or @t144 @t139 (not @t145)))) % 0.20/0.55 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p159) :args (@t144 @t138 (@list @t139 @t145))) % 0.20/0.55 (step @p233 :rule cnf_or_pos :args (@t146)) % 0.20/0.55 (step @p234 :rule reordering :premises (@p233) :args ((or @t78 @t143 @t117 (not @t146)))) % 0.20/0.55 (step @p235 :rule chain_m_resolution :premises (@p234 @p64 @p232 @p158) :args (@t117 @t147 (@list @t54 @t143 @t146))) % 0.20/0.55 (step @p236 :rule cnf_or_pos :args (@t119)) % 0.20/0.55 (step @p237 :rule reordering :premises (@p236) :args ((or @t80 @t111 @t114 @t118 (not @t119)))) % 0.20/0.55 (step @p238 :rule chain_m_resolution :premises (@p237 @p20 @p200 @p235 @p157) :args (@t111 (@list false false false false) (@list @t45 @t113 @t117 @t119))) % 0.20/0.55 (step @p239 :rule refl :args (@t149)) % 0.20/0.55 (step @p240 :rule refl :args (@t150)) % 0.20/0.55 (step @p241 :rule bool-double-not-elim :args (@t107)) % 0.20/0.55 (step @p242 :rule nary_cong :premises (@p241 @p240 @p239) :args ((or (not @t108) @t150 @t149))) % 0.20/0.55 (assume-push @p297 @t148) % 0.20/0.55 (assume-push @p298 @t111) % 0.20/0.55 (assume-push @p299 @t108) % 0.20/0.55 (step @p106 :rule evaluate :args (@t101)) % 0.20/0.55 (step @p246 :rule true_intro :premises (@p59)) % 0.20/0.55 (step @p247 :rule symm :premises (@p298)) % 0.20/0.55 (step @p248 :rule refl :args (@t73)) % 0.20/0.55 (step @p249 :rule cong :premises (@p248 @p247) :args (@t107)) % 0.20/0.55 (step @p250 :rule false_intro :premises (@p299)) % 0.20/0.55 (step @p251 :rule symm :premises (@p250)) % 0.20/0.55 (step @p252 :rule trans :premises (@p251 @p249 @p246)) % 0.20/0.55 (step @p253 false :rule eq_resolve :premises (@p252 @p106)) % 0.20/0.55 (step-pop @p300 :rule scope :premises (@p253)) % 0.20/0.55 (step-pop @p301 :rule scope :premises (@p300)) % 0.20/0.55 (step-pop @p302 :rule scope :premises (@p301)) % 0.20/0.55 (step @p254 :rule process_scope :premises (@p302) :args (false)) % 0.20/0.55 (assume-push @p303 @t108) % 0.20/0.55 (assume-push @p304 @t111) % 0.20/0.55 (assume-push @p305 @t148) % 0.20/0.55 (step @p261 :rule and_intro :premises (@p59 @p304 @p303)) % 0.20/0.55 (step-pop @p306 :rule scope :premises (@p261)) % 0.20/0.55 (step-pop @p307 :rule scope :premises (@p306)) % 0.20/0.55 (step-pop @p308 :rule scope :premises (@p307)) % 0.20/0.55 (step @p262 :rule process_scope :premises (@p308) :args (@t151)) % 0.20/0.55 (step @p266 :rule implies_elim :premises (@p262)) % 0.20/0.55 (step @p267 :rule resolution :premises (@p266 @p254) :args (true @t151)) % 0.20/0.55 (step @p268 :rule not_and :premises (@p267)) % 0.20/0.55 (step @p269 :rule eq_resolve :premises (@p268 @p242)) % 0.20/0.55 (step @p270 false :rule chain_m_resolution :premises (@p269 @p238 @p137 @p59) :args (false @t147 (@list @t111 @t107 @t148))) % 0.20/0.55 ) % 0.20/0.55 % SZS output end Proof % 0.20/0.55 % cvc5 exiting %------------------------------------------------------------------------------