%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG082+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:45:37 AM UTC 2026 % Result : Theorem 16.14s 16.31s % Output : Proof 16.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG082+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:06:34 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.14/16.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.14/16.31 --- Run --no-e-matching --full-saturate-quant at 6... % 16.14/16.31 % SZS status Theorem % 16.14/16.31 % SZS output start Proof % 16.14/16.31 ( % 16.14/16.31 (declare-sort $$unsorted 0) % 16.14/16.31 (declare-const tptp.xx $$unsorted) % 16.14/16.31 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.14/16.31 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.14/16.31 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 16.14/16.31 (declare-const tptp.sz10 $$unsorted) % 16.14/16.31 (declare-const tptp.sz00 $$unsorted) % 16.14/16.31 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 16.14/16.31 (define @t1 () (@var "W0" $$unsorted)) % 16.14/16.31 (define @t2 () (tptp.aElement0 @t1)) % 16.14/16.31 (define @t3 () (@list @t1)) % 16.14/16.31 (define @t4 () (tptp.aElement0 tptp.sz00)) % 16.14/16.31 (define @t5 () (tptp.aElement0 tptp.sz10)) % 16.14/16.31 (define @t6 () (tptp.smndt0 @t1)) % 16.14/16.31 (define @t7 () (tptp.aElement0 @t6)) % 16.14/16.31 (define @t8 () (forall @t3 (=> @t2 @t7))) % 16.14/16.31 (define @t9 () (@var "W1" $$unsorted)) % 16.14/16.31 (define @t10 () (tptp.sdtpldt0 @t1 @t9)) % 16.14/16.31 (define @t11 () (tptp.aElement0 @t10)) % 16.14/16.31 (define @t12 () (tptp.aElement0 @t9)) % 16.14/16.31 (define @t13 () (and @t2 @t12)) % 16.14/16.31 (define @t14 () (@list @t1 @t9)) % 16.14/16.31 (define @t15 () (forall @t14 (=> @t13 @t11))) % 16.14/16.31 (define @t16 () (tptp.sdtasdt0 @t1 @t9)) % 16.14/16.31 (define @t17 () (tptp.aElement0 @t16)) % 16.14/16.31 (define @t18 () (forall @t14 (=> @t13 @t17))) % 16.14/16.31 (define @t19 () (= @t10 (tptp.sdtpldt0 @t9 @t1))) % 16.14/16.31 (define @t20 () (forall @t14 (=> @t13 @t19))) % 16.14/16.31 (define @t21 () (@var "W2" $$unsorted)) % 16.14/16.31 (define @t22 () (tptp.sdtpldt0 @t9 @t21)) % 16.14/16.31 (define @t23 () (= (tptp.sdtpldt0 @t10 @t21) (tptp.sdtpldt0 @t1 @t22))) % 16.14/16.31 (define @t24 () (tptp.aElement0 @t21)) % 16.14/16.31 (define @t25 () (and @t2 @t12 @t24)) % 16.14/16.31 (define @t26 () (@list @t1 @t9 @t21)) % 16.14/16.31 (define @t27 () (forall @t26 (=> @t25 @t23))) % 16.14/16.31 (define @t28 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 16.14/16.31 (define @t29 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 16.14/16.31 (define @t30 () (and (= @t29 @t1) @t28)) % 16.14/16.31 (define @t31 () (=> @t2 @t30)) % 16.14/16.31 (define @t32 () (forall @t3 @t31)) % 16.14/16.31 (define @t33 () (= tptp.sz00 (tptp.sdtpldt0 @t6 @t1))) % 16.14/16.31 (define @t34 () (tptp.sdtpldt0 @t1 @t6)) % 16.14/16.31 (define @t35 () (and (= @t34 tptp.sz00) @t33)) % 16.14/16.31 (define @t36 () (=> @t2 @t35)) % 16.14/16.31 (define @t37 () (forall @t3 @t36)) % 16.14/16.31 (define @t38 () (tptp.sdtasdt0 @t9 @t1)) % 16.14/16.31 (define @t39 () (= @t16 @t38)) % 16.14/16.31 (define @t40 () (forall @t14 (=> @t13 @t39))) % 16.14/16.31 (define @t41 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 16.14/16.31 (define @t42 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 16.14/16.31 (define @t43 () (and (= @t42 @t1) @t41)) % 16.14/16.31 (define @t44 () (=> @t2 @t43)) % 16.14/16.31 (define @t45 () (forall @t3 @t44)) % 16.14/16.31 (define @t46 () (and (= (tptp.sdtasdt0 @t1 @t22) (tptp.sdtpldt0 @t16 (tptp.sdtasdt0 @t1 @t21))) (= (tptp.sdtasdt0 @t22 @t1) (tptp.sdtpldt0 @t38 (tptp.sdtasdt0 @t21 @t1))))) % 16.14/16.31 (define @t47 () (forall @t26 (=> @t25 @t46))) % 16.14/16.31 (define @t48 () (tptp.aElement0 tptp.xx)) % 16.14/16.31 (define @t49 () (tptp.smndt0 tptp.xx)) % 16.14/16.31 (define @t50 () (tptp.smndt0 tptp.sz10)) % 16.14/16.31 (define @t51 () (tptp.sdtasdt0 @t50 tptp.xx)) % 16.14/16.31 (define @t52 () (not @t24)) % 16.14/16.31 (define @t53 () (not @t12)) % 16.14/16.31 (define @t54 () (not @t2)) % 16.14/16.31 (define @t55 () (or @t54 @t53 @t52 @t23)) % 16.14/16.31 (define @t56 () (or @t54 @t53 @t52)) % 16.14/16.31 (define @t57 () (not @t25)) % 16.14/16.31 (define @t58 () (tptp.sdtpldt0 tptp.xx @t49)) % 16.14/16.31 (define @t59 () (tptp.sdtasdt0 tptp.xx @t50)) % 16.14/16.31 (define @t60 () (tptp.sdtpldt0 @t59 @t58)) % 16.14/16.31 (define @t61 () (tptp.sdtpldt0 @t59 tptp.xx)) % 16.14/16.31 (define @t62 () (tptp.sdtpldt0 @t61 @t49)) % 16.14/16.31 (define @t63 () (= @t62 @t60)) % 16.14/16.31 (define @t64 () (= @t60 @t62)) % 16.14/16.31 (define @t65 () (and (= @t1 @t29) @t28)) % 16.14/16.31 (define @t66 () (@list tptp.xx)) % 16.14/16.31 (define @t67 () (tptp.aElement0 @t49)) % 16.14/16.31 (define @t68 () (not @t48)) % 16.14/16.31 (define @t69 () (or @t68 @t67)) % 16.14/16.31 (define @t70 () (@list false false)) % 16.14/16.31 (define @t71 () (= @t49 (tptp.sdtpldt0 tptp.sz00 @t49))) % 16.14/16.31 (define @t72 () (and (= @t49 (tptp.sdtpldt0 @t49 tptp.sz00)) @t71)) % 16.14/16.31 (define @t73 () (not @t67)) % 16.14/16.31 (define @t74 () (or @t73 @t72)) % 16.14/16.31 (define @t75 () (@list false)) % 16.14/16.31 (define @t76 () (and (= tptp.sz00 @t34) @t33)) % 16.14/16.31 (define @t77 () (= tptp.sz00 @t58)) % 16.14/16.31 (define @t78 () (and @t77 (= tptp.sz00 (tptp.sdtpldt0 @t49 tptp.xx)))) % 16.14/16.31 (define @t79 () (or @t68 @t78)) % 16.14/16.31 (define @t80 () (and (= @t1 @t42) @t41)) % 16.14/16.31 (define @t81 () (tptp.sdtasdt0 tptp.sz10 tptp.xx)) % 16.14/16.31 (define @t82 () (tptp.sdtasdt0 tptp.xx tptp.sz10)) % 16.14/16.31 (define @t83 () (= tptp.xx @t82)) % 16.14/16.31 (define @t84 () (and @t83 (= tptp.xx @t81))) % 16.14/16.31 (define @t85 () (or @t68 @t84)) % 16.14/16.31 (define @t86 () (@list tptp.sz10)) % 16.14/16.31 (define @t87 () (tptp.sdtpldt0 tptp.sz10 tptp.sz00)) % 16.14/16.31 (define @t88 () (= tptp.sz10 @t87)) % 16.14/16.31 (define @t89 () (and @t88 (= tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.sz10)))) % 16.14/16.31 (define @t90 () (not @t5)) % 16.14/16.31 (define @t91 () (or @t90 @t89)) % 16.14/16.31 (define @t92 () (tptp.sdtasdt0 tptp.xx @t87)) % 16.14/16.31 (define @t93 () (= @t92 (tptp.sdtpldt0 @t82 (tptp.sdtasdt0 tptp.xx tptp.sz00)))) % 16.14/16.31 (define @t94 () (and @t93 (= (tptp.sdtasdt0 @t87 tptp.xx) (tptp.sdtpldt0 @t81 (tptp.sdtasdt0 tptp.sz00 tptp.xx))))) % 16.14/16.31 (define @t95 () (not @t4)) % 16.14/16.31 (define @t96 () (or @t68 @t90 @t95 @t94)) % 16.14/16.31 (define @t97 () (@list false false false false)) % 16.14/16.31 (define @t98 () (tptp.sdtpldt0 @t50 tptp.sz10)) % 16.14/16.31 (define @t99 () (= tptp.sz00 @t98)) % 16.14/16.31 (define @t100 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.sz10 @t50)) @t99)) % 16.14/16.31 (define @t101 () (or @t90 @t100)) % 16.14/16.31 (define @t102 () (tptp.sdtasdt0 tptp.xx @t98)) % 16.14/16.31 (define @t103 () (tptp.aElement0 @t50)) % 16.14/16.31 (define @t104 () (or @t90 @t103)) % 16.14/16.31 (define @t105 () (= @t102 (tptp.sdtpldt0 @t59 @t82))) % 16.14/16.31 (define @t106 () (and @t105 (= (tptp.sdtasdt0 @t98 tptp.xx) (tptp.sdtpldt0 @t51 @t81)))) % 16.14/16.31 (define @t107 () (not @t103)) % 16.14/16.31 (define @t108 () (or @t68 @t107 @t90 @t106)) % 16.14/16.31 (define @t109 () (or @t54 @t53)) % 16.14/16.31 (define @t110 () (not @t13)) % 16.14/16.31 (define @t111 () (@list tptp.xx @t50)) % 16.14/16.31 (define @t112 () (tptp.aElement0 @t59)) % 16.14/16.31 (define @t113 () (or @t68 @t107 @t112)) % 16.14/16.31 (define @t114 () (@list false false false)) % 16.14/16.31 (define @t115 () (tptp.sdtpldt0 tptp.xx @t59)) % 16.14/16.31 (define @t116 () (= @t115 @t61)) % 16.14/16.31 (define @t117 () (not @t112)) % 16.14/16.31 (define @t118 () (or @t68 @t117 @t116)) % 16.14/16.31 (define @t119 () (tptp.sdtpldt0 tptp.xx @t115)) % 16.14/16.31 (define @t120 () (tptp.sdtpldt0 tptp.xx tptp.xx)) % 16.14/16.31 (define @t121 () (tptp.sdtpldt0 @t120 @t59)) % 16.14/16.31 (define @t122 () (= @t121 @t119)) % 16.14/16.31 (define @t123 () (or @t68 @t68 @t117 @t122)) % 16.14/16.31 (define @t124 () (tptp.aElement0 @t120)) % 16.14/16.31 (define @t125 () (or @t68 @t68 @t124)) % 16.14/16.31 (define @t126 () (tptp.sdtpldt0 @t59 @t120)) % 16.14/16.31 (define @t127 () (= @t126 @t121)) % 16.14/16.31 (define @t128 () (not @t124)) % 16.14/16.31 (define @t129 () (or @t117 @t128 @t127)) % 16.14/16.31 (define @t130 () (tptp.sdtpldt0 @t126 @t49)) % 16.14/16.31 (define @t131 () (tptp.sdtpldt0 @t120 @t49)) % 16.14/16.31 (define @t132 () (= @t130 (tptp.sdtpldt0 @t59 @t131))) % 16.14/16.31 (define @t133 () (or @t117 @t128 @t73 @t132)) % 16.14/16.31 (define @t134 () (= @t131 (tptp.sdtpldt0 tptp.xx @t58))) % 16.14/16.31 (define @t135 () (or @t68 @t68 @t73 @t134)) % 16.14/16.31 (define @t136 () (tptp.sdtpldt0 tptp.xx tptp.sz00)) % 16.14/16.31 (define @t137 () (= tptp.xx @t136)) % 16.14/16.31 (define @t138 () (and @t137 (= tptp.xx (tptp.sdtpldt0 tptp.sz00 tptp.xx)))) % 16.14/16.31 (define @t139 () (or @t68 @t138)) % 16.14/16.31 (define @t140 () (or @t54 @t53 @t39)) % 16.14/16.31 (define @t141 () (or @t68 @t107 (= @t59 @t51))) % 16.14/16.31 (define @t142 () (forall @t14 @t140)) % 16.14/16.31 (define @t143 () (= @t51 @t59)) % 16.14/16.31 (define @t144 () (or @t68 @t107 @t143)) % 16.14/16.31 (define @t145 () (= @t59 (tptp.sdtpldt0 @t59 tptp.sz00))) % 16.14/16.31 (define @t146 () (and @t145 (= @t59 (tptp.sdtpldt0 tptp.sz00 @t59)))) % 16.14/16.31 (define @t147 () (or @t117 @t146)) % 16.14/16.31 (define @t148 () (or @t117 @t68 @t73 @t63)) % 16.14/16.31 (define @t149 () (not @t148)) % 16.14/16.31 (define @t150 () (forall @t26 @t55)) % 16.14/16.31 (assume @p1 (forall @t3 (=> @t2 true))) % 16.14/16.31 (assume @p2 @t4) % 16.14/16.31 (assume @p3 @t5) % 16.14/16.31 (assume @p4 @t8) % 16.14/16.31 (assume @p5 @t15) % 16.14/16.31 (assume @p6 @t18) % 16.14/16.31 (assume @p7 @t20) % 16.14/16.31 (assume @p8 @t27) % 16.14/16.31 (assume @p9 @t32) % 16.14/16.31 (assume @p10 @t37) % 16.14/16.31 (assume @p11 @t40) % 16.14/16.31 (assume @p12 (forall @t26 (=> @t25 (= (tptp.sdtasdt0 @t16 @t21) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t9 @t21)))))) % 16.14/16.31 (assume @p13 @t45) % 16.14/16.31 (assume @p14 @t47) % 16.14/16.31 (assume @p15 @t48) % 16.14/16.31 (assume @p16 (not (= @t51 @t49))) % 16.14/16.31 (assume @p17 true) % 16.14/16.31 (step @p18 :rule aci_norm :args ((= (or @t56 @t23) @t55))) % 16.14/16.31 (step @p19 :rule refl :args (@t23)) % 16.14/16.31 (step @p20 :rule aci_norm :args ((= (or @t54 (or @t53 @t52)) @t56))) % 16.14/16.31 (step @p21 :rule bool-and-de-morgan :args (@t12 @t24 true)) % 16.14/16.31 (step @p22 :rule refl :args (@t54)) % 16.14/16.31 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t54 (not (and @t12 @t24))))) % 16.14/16.31 (step @p24 :rule bool-and-de-morgan :args (@t2 @t12 (and @t24))) % 16.14/16.31 (step @p25 :rule trans :premises (@p24 @p23)) % 16.14/16.31 (step @p26 :rule trans :premises (@p25 @p20)) % 16.14/16.31 (step @p27 :rule nary_cong :premises (@p26 @p19) :args ((or @t57 @t23))) % 16.14/16.31 (step @p28 :rule trans :premises (@p27 @p18)) % 16.14/16.31 (step @p29 :rule bool-impl-elim :args (@t25 @t23)) % 16.14/16.31 (step @p30 :rule trans :premises (@p29 @p28)) % 16.14/16.31 (step @p31 :rule cong :premises (@p30) :args (@t27)) % 16.14/16.31 (step @p32 :rule eq_resolve :premises (@p8 @p31)) % 16.14/16.31 (step @p33 :rule bool-eq-false :args (@t63)) % 16.14/16.31 (step @p34 :rule symm :premises (@p33)) % 16.14/16.31 (step @p35 :rule eq-symm :args (@t60 @t62)) % 16.14/16.31 (step @p36 :rule cong :premises (@p35) :args ((not @t64))) % 16.14/16.31 (step @p37 :rule bool-eq-false :args (@t64)) % 16.14/16.31 (step @p38 :rule trans :premises (@p37 @p36)) % 16.14/16.31 (step @p39 :rule trans :premises (@p38 @p34)) % 16.14/16.31 (step @p40 :rule false_intro :premises (@p16)) % 16.14/16.31 (step @p41 :rule bool-impl-elim :args (@t2 @t65)) % 16.14/16.31 (step @p42 :rule cong :premises (@p41) :args ((forall @t3 (=> @t2 @t65)))) % 16.14/16.31 (step @p43 :rule refl :args (@t28)) % 16.14/16.31 (step @p44 :rule eq-symm :args (@t29 @t1)) % 16.14/16.31 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t30)) % 16.14/16.31 (step @p46 :rule refl :args (@t2)) % 16.14/16.31 (step @p47 :rule cong :premises (@p46 @p45) :args (@t31)) % 16.14/16.31 (step @p48 :rule cong :premises (@p47) :args (@t32)) % 16.14/16.31 (step @p49 :rule trans :premises (@p48 @p42)) % 16.14/16.31 (step @p50 :rule eq_resolve :premises (@p9 @p49)) % 16.14/16.31 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t49))) % 16.14/16.31 (step @p52 :rule bool-impl-elim :args (@t2 @t7)) % 16.14/16.31 (step @p53 :rule cong :premises (@p52) :args (@t8)) % 16.14/16.31 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 16.14/16.31 (step @p55 :rule instantiate :premises (@p54) :args (@t66)) % 16.14/16.31 (step @p56 :rule cnf_or_pos :args (@t69)) % 16.14/16.31 (step @p57 :rule reordering :premises (@p56) :args ((or @t68 @t67 (not @t69)))) % 16.14/16.31 (step @p58 :rule chain_m_resolution :premises (@p57 @p15 @p55) :args (@t67 @t70 (@list @t48 @t69))) % 16.14/16.31 (step @p59 :rule cnf_or_pos :args (@t74)) % 16.14/16.31 (step @p60 :rule reordering :premises (@p59) :args ((or @t73 @t72 (not @t74)))) % 16.14/16.31 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p51) :args (@t72 @t70 (@list @t67 @t74))) % 16.14/16.31 (step @p62 :rule cnf_and_pos :args (@t72 1)) % 16.14/16.31 (step @p63 :rule reordering :premises (@p62) :args ((or @t71 (not @t72)))) % 16.14/16.31 (step @p64 :rule chain_m_resolution :premises (@p63 @p61) :args (@t71 @t75 (@list @t72))) % 16.14/16.31 (step @p65 :rule symm :premises (@p64)) % 16.14/16.31 (step @p66 :rule refl :args (@t49)) % 16.14/16.31 (step @p67 :rule bool-impl-elim :args (@t2 @t76)) % 16.14/16.31 (step @p68 :rule cong :premises (@p67) :args ((forall @t3 (=> @t2 @t76)))) % 16.14/16.31 (step @p69 :rule refl :args (@t33)) % 16.14/16.31 (step @p70 :rule eq-symm :args (@t34 tptp.sz00)) % 16.14/16.31 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t35)) % 16.14/16.31 (step @p72 :rule cong :premises (@p46 @p71) :args (@t36)) % 16.14/16.31 (step @p73 :rule cong :premises (@p72) :args (@t37)) % 16.14/16.31 (step @p74 :rule trans :premises (@p73 @p68)) % 16.14/16.31 (step @p75 :rule eq_resolve :premises (@p10 @p74)) % 16.14/16.31 (step @p76 :rule instantiate :premises (@p75) :args (@t66)) % 16.14/16.31 (step @p77 :rule cnf_or_pos :args (@t79)) % 16.14/16.31 (step @p78 :rule reordering :premises (@p77) :args ((or @t68 @t78 (not @t79)))) % 16.14/16.31 (step @p79 :rule chain_m_resolution :premises (@p78 @p15 @p76) :args (@t78 @t70 (@list @t48 @t79))) % 16.14/16.31 (step @p80 :rule cnf_and_pos :args (@t78 0)) % 16.14/16.31 (step @p81 :rule reordering :premises (@p80) :args ((or @t77 (not @t78)))) % 16.14/16.31 (step @p82 :rule chain_m_resolution :premises (@p81 @p79) :args (@t77 @t75 (@list @t78))) % 16.14/16.31 (step @p83 :rule symm :premises (@p82)) % 16.14/16.31 (step @p84 :rule bool-impl-elim :args (@t2 @t80)) % 16.14/16.31 (step @p85 :rule cong :premises (@p84) :args ((forall @t3 (=> @t2 @t80)))) % 16.14/16.31 (step @p86 :rule refl :args (@t41)) % 16.14/16.31 (step @p87 :rule eq-symm :args (@t42 @t1)) % 16.14/16.31 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t43)) % 16.14/16.31 (step @p89 :rule cong :premises (@p46 @p88) :args (@t44)) % 16.14/16.31 (step @p90 :rule cong :premises (@p89) :args (@t45)) % 16.14/16.31 (step @p91 :rule trans :premises (@p90 @p85)) % 16.14/16.31 (step @p92 :rule eq_resolve :premises (@p13 @p91)) % 16.14/16.31 (step @p93 :rule instantiate :premises (@p92) :args (@t66)) % 16.14/16.31 (step @p94 :rule cnf_or_pos :args (@t85)) % 16.14/16.31 (step @p95 :rule reordering :premises (@p94) :args ((or @t68 @t84 (not @t85)))) % 16.14/16.31 (step @p96 :rule chain_m_resolution :premises (@p95 @p15 @p93) :args (@t84 @t70 (@list @t48 @t85))) % 16.14/16.31 (step @p97 :rule cnf_and_pos :args (@t84 0)) % 16.14/16.31 (step @p98 :rule reordering :premises (@p97) :args ((or @t83 (not @t84)))) % 16.14/16.31 (step @p99 :rule chain_m_resolution :premises (@p98 @p96) :args (@t83 @t75 (@list @t84))) % 16.14/16.31 (step @p100 :rule symm :premises (@p99)) % 16.14/16.31 (step @p101 :rule instantiate :premises (@p50) :args (@t86)) % 16.14/16.31 (step @p102 :rule cnf_or_pos :args (@t91)) % 16.14/16.31 (step @p103 :rule reordering :premises (@p102) :args ((or @t90 @t89 (not @t91)))) % 16.14/16.31 (step @p104 :rule chain_m_resolution :premises (@p103 @p3 @p101) :args (@t89 @t70 (@list @t5 @t91))) % 16.14/16.31 (step @p105 :rule cnf_and_pos :args (@t89 0)) % 16.14/16.31 (step @p106 :rule reordering :premises (@p105) :args ((or @t88 (not @t89)))) % 16.14/16.31 (step @p107 :rule chain_m_resolution :premises (@p106 @p104) :args (@t88 @t75 (@list @t89))) % 16.14/16.31 (step @p108 :rule symm :premises (@p107)) % 16.14/16.31 (step @p109 :rule refl :args (tptp.xx)) % 16.14/16.31 (step @p110 :rule cong :premises (@p109 @p108) :args (@t92)) % 16.14/16.31 (step @p111 :rule aci_norm :args ((= (or @t56 @t46) (or @t54 @t53 @t52 @t46)))) % 16.14/16.31 (step @p112 :rule refl :args (@t46)) % 16.14/16.31 (step @p113 :rule nary_cong :premises (@p26 @p112) :args ((or @t57 @t46))) % 16.14/16.31 (step @p114 :rule trans :premises (@p113 @p111)) % 16.14/16.31 (step @p115 :rule bool-impl-elim :args (@t25 @t46)) % 16.14/16.31 (step @p116 :rule trans :premises (@p115 @p114)) % 16.14/16.31 (step @p117 :rule cong :premises (@p116) :args (@t47)) % 16.14/16.31 (step @p118 :rule eq_resolve :premises (@p14 @p117)) % 16.14/16.31 (step @p119 :rule instantiate :premises (@p118) :args ((@list tptp.xx tptp.sz10 tptp.sz00))) % 16.14/16.31 (step @p120 :rule cnf_or_pos :args (@t96)) % 16.14/16.31 (step @p121 :rule reordering :premises (@p120) :args ((or @t95 @t90 @t68 @t94 (not @t96)))) % 16.14/16.31 (step @p122 :rule chain_m_resolution :premises (@p121 @p2 @p3 @p15 @p119) :args (@t94 @t97 (@list @t4 @t5 @t48 @t96))) % 16.14/16.31 (step @p123 :rule cnf_and_pos :args (@t94 0)) % 16.14/16.31 (step @p124 :rule reordering :premises (@p123) :args ((or @t93 (not @t94)))) % 16.14/16.31 (step @p125 :rule chain_m_resolution :premises (@p124 @p122) :args (@t93 @t75 (@list @t94))) % 16.14/16.31 (step @p126 :rule symm :premises (@p125)) % 16.14/16.31 (step @p127 :rule instantiate :premises (@p75) :args (@t86)) % 16.14/16.31 (step @p128 :rule cnf_or_pos :args (@t101)) % 16.14/16.31 (step @p129 :rule reordering :premises (@p128) :args ((or @t90 @t100 (not @t101)))) % 16.14/16.31 (step @p130 :rule chain_m_resolution :premises (@p129 @p3 @p127) :args (@t100 @t70 (@list @t5 @t101))) % 16.14/16.31 (step @p131 :rule cnf_and_pos :args (@t100 1)) % 16.14/16.31 (step @p132 :rule reordering :premises (@p131) :args ((or @t99 (not @t100)))) % 16.14/16.31 (step @p133 :rule chain_m_resolution :premises (@p132 @p130) :args (@t99 @t75 (@list @t100))) % 16.14/16.31 (step @p134 :rule symm :premises (@p133)) % 16.14/16.31 (step @p135 :rule cong :premises (@p109 @p134) :args (@t102)) % 16.14/16.31 (step @p136 :rule instantiate :premises (@p118) :args ((@list tptp.xx @t50 tptp.sz10))) % 16.14/16.31 (step @p137 :rule instantiate :premises (@p54) :args (@t86)) % 16.14/16.31 (step @p138 :rule cnf_or_pos :args (@t104)) % 16.14/16.31 (step @p139 :rule reordering :premises (@p138) :args ((or @t90 @t103 (not @t104)))) % 16.14/16.31 (step @p140 :rule chain_m_resolution :premises (@p139 @p3 @p137) :args (@t103 @t70 (@list @t5 @t104))) % 16.14/16.31 (step @p141 :rule cnf_or_pos :args (@t108)) % 16.14/16.31 (step @p142 :rule reordering :premises (@p141) :args ((or @t90 @t68 @t107 @t106 (not @t108)))) % 16.14/16.31 (step @p143 :rule chain_m_resolution :premises (@p142 @p3 @p15 @p140 @p136) :args (@t106 @t97 (@list @t5 @t48 @t103 @t108))) % 16.14/16.31 (step @p144 :rule cnf_and_pos :args (@t106 0)) % 16.14/16.31 (step @p145 :rule reordering :premises (@p144) :args ((or @t105 (not @t106)))) % 16.14/16.31 (step @p146 :rule chain_m_resolution :premises (@p145 @p143) :args (@t105 @t75 (@list @t106))) % 16.14/16.31 (step @p147 :rule symm :premises (@p146)) % 16.14/16.31 (step @p148 :rule refl :args (@t59)) % 16.14/16.31 (step @p149 :rule cong :premises (@p148 @p99) :args (@t61)) % 16.14/16.31 (step @p150 :rule aci_norm :args ((= (or @t109 @t19) (or @t54 @t53 @t19)))) % 16.14/16.31 (step @p151 :rule refl :args (@t19)) % 16.14/16.31 (step @p152 :rule bool-and-de-morgan :args (@t2 @t12 true)) % 16.14/16.31 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t110 @t19))) % 16.14/16.31 (step @p154 :rule trans :premises (@p153 @p150)) % 16.14/16.31 (step @p155 :rule bool-impl-elim :args (@t13 @t19)) % 16.14/16.31 (step @p156 :rule trans :premises (@p155 @p154)) % 16.14/16.31 (step @p157 :rule cong :premises (@p156) :args (@t20)) % 16.14/16.31 (step @p158 :rule eq_resolve :premises (@p7 @p157)) % 16.14/16.31 (step @p159 :rule instantiate :premises (@p158) :args ((@list tptp.xx @t59))) % 16.14/16.31 (step @p160 :rule aci_norm :args ((= (or @t109 @t17) (or @t54 @t53 @t17)))) % 16.14/16.31 (step @p161 :rule refl :args (@t17)) % 16.14/16.31 (step @p162 :rule nary_cong :premises (@p152 @p161) :args ((or @t110 @t17))) % 16.14/16.31 (step @p163 :rule trans :premises (@p162 @p160)) % 16.14/16.31 (step @p164 :rule bool-impl-elim :args (@t13 @t17)) % 16.14/16.31 (step @p165 :rule trans :premises (@p164 @p163)) % 16.14/16.31 (step @p166 :rule cong :premises (@p165) :args (@t18)) % 16.14/16.31 (step @p167 :rule eq_resolve :premises (@p6 @p166)) % 16.14/16.31 (step @p168 :rule instantiate :premises (@p167) :args (@t111)) % 16.14/16.31 (step @p169 :rule cnf_or_pos :args (@t113)) % 16.14/16.31 (step @p170 :rule reordering :premises (@p169) :args ((or @t68 @t107 @t112 (not @t113)))) % 16.14/16.31 (step @p171 :rule chain_m_resolution :premises (@p170 @p15 @p140 @p168) :args (@t112 @t114 (@list @t48 @t103 @t113))) % 16.14/16.31 (step @p172 :rule cnf_or_pos :args (@t118)) % 16.14/16.31 (step @p173 :rule reordering :premises (@p172) :args ((or @t68 @t117 @t116 (not @t118)))) % 16.14/16.31 (step @p174 :rule chain_m_resolution :premises (@p173 @p15 @p171 @p159) :args (@t116 @t114 (@list @t48 @t112 @t118))) % 16.14/16.31 (step @p175 :rule trans :premises (@p174 @p149 @p147 @p135)) % 16.14/16.31 (step @p176 :rule cong :premises (@p99 @p175) :args (@t119)) % 16.14/16.31 (step @p177 :rule instantiate :premises (@p32) :args ((@list tptp.xx tptp.xx @t59))) % 16.14/16.31 (step @p178 :rule cnf_or_pos :args (@t123)) % 16.14/16.31 (step @p179 :rule factoring :premises (@p178)) % 16.14/16.31 (step @p180 :rule reordering :premises (@p179) :args ((or @t68 @t117 @t122 (not @t123)))) % 16.14/16.31 (step @p181 :rule chain_m_resolution :premises (@p180 @p15 @p171 @p177) :args (@t122 @t114 (@list @t48 @t112 @t123))) % 16.14/16.31 (step @p182 :rule instantiate :premises (@p158) :args ((@list @t59 @t120))) % 16.14/16.31 (step @p183 :rule aci_norm :args ((= (or @t109 @t11) (or @t54 @t53 @t11)))) % 16.14/16.31 (step @p184 :rule refl :args (@t11)) % 16.14/16.31 (step @p185 :rule nary_cong :premises (@p152 @p184) :args ((or @t110 @t11))) % 16.14/16.31 (step @p186 :rule trans :premises (@p185 @p183)) % 16.14/16.31 (step @p187 :rule bool-impl-elim :args (@t13 @t11)) % 16.14/16.31 (step @p188 :rule trans :premises (@p187 @p186)) % 16.14/16.31 (step @p189 :rule cong :premises (@p188) :args (@t15)) % 16.14/16.31 (step @p190 :rule eq_resolve :premises (@p5 @p189)) % 16.14/16.31 (step @p191 :rule instantiate :premises (@p190) :args ((@list tptp.xx tptp.xx))) % 16.14/16.31 (step @p192 :rule cnf_or_pos :args (@t125)) % 16.14/16.31 (step @p193 :rule factoring :premises (@p192)) % 16.14/16.31 (step @p194 :rule reordering :premises (@p193) :args ((or @t68 @t124 (not @t125)))) % 16.14/16.31 (step @p195 :rule chain_m_resolution :premises (@p194 @p15 @p191) :args (@t124 @t70 (@list @t48 @t125))) % 16.14/16.31 (step @p196 :rule cnf_or_pos :args (@t129)) % 16.14/16.31 (step @p197 :rule reordering :premises (@p196) :args ((or @t128 @t117 @t127 (not @t129)))) % 16.14/16.31 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p171 @p182) :args (@t127 @t114 (@list @t124 @t112 @t129))) % 16.14/16.31 (step @p199 :rule trans :premises (@p198 @p181 @p176 @p126 @p110 @p100)) % 16.14/16.31 (step @p200 :rule cong :premises (@p199 @p66) :args (@t130)) % 16.14/16.31 (step @p201 :rule instantiate :premises (@p32) :args ((@list @t59 @t120 @t49))) % 16.14/16.31 (step @p202 :rule cnf_or_pos :args (@t133)) % 16.14/16.31 (step @p203 :rule reordering :premises (@p202) :args ((or @t73 @t128 @t117 @t132 (not @t133)))) % 16.14/16.31 (step @p204 :rule chain_m_resolution :premises (@p203 @p58 @p195 @p171 @p201) :args (@t132 @t97 (@list @t67 @t124 @t112 @t133))) % 16.14/16.31 (step @p205 :rule symm :premises (@p204)) % 16.14/16.31 (step @p206 :rule instantiate :premises (@p32) :args ((@list tptp.xx tptp.xx @t49))) % 16.14/16.31 (step @p207 :rule cnf_or_pos :args (@t135)) % 16.14/16.31 (step @p208 :rule factoring :premises (@p207)) % 16.14/16.31 (step @p209 :rule reordering :premises (@p208) :args ((or @t68 @t73 @t134 (not @t135)))) % 16.14/16.31 (step @p210 :rule chain_m_resolution :premises (@p209 @p15 @p58 @p206) :args (@t134 @t114 (@list @t48 @t67 @t135))) % 16.14/16.31 (step @p211 :rule symm :premises (@p210)) % 16.14/16.31 (step @p212 :rule cong :premises (@p109 @p82) :args (@t136)) % 16.14/16.31 (step @p213 :rule instantiate :premises (@p50) :args (@t66)) % 16.14/16.31 (step @p214 :rule cnf_or_pos :args (@t139)) % 16.14/16.31 (step @p215 :rule reordering :premises (@p214) :args ((or @t68 @t138 (not @t139)))) % 16.14/16.31 (step @p216 :rule chain_m_resolution :premises (@p215 @p15 @p213) :args (@t138 @t70 (@list @t48 @t139))) % 16.14/16.31 (step @p217 :rule cnf_and_pos :args (@t138 0)) % 16.14/16.31 (step @p218 :rule reordering :premises (@p217) :args ((or @t137 (not @t138)))) % 16.14/16.31 (step @p219 :rule chain_m_resolution :premises (@p218 @p216) :args (@t137 @t75 (@list @t138))) % 16.14/16.31 (step @p220 :rule trans :premises (@p219 @p212 @p211)) % 16.14/16.31 (step @p221 :rule cong :premises (@p148 @p220) :args (@t61)) % 16.14/16.32 (step @p222 :rule trans :premises (@p221 @p205 @p200 @p83)) % 16.14/16.32 (step @p223 :rule cong :premises (@p222 @p66) :args (@t62)) % 16.14/16.32 (step @p224 :rule trans :premises (@p223 @p65)) % 16.14/16.32 (step @p225 :rule aci_norm :args ((= (or @t109 @t39) @t140))) % 16.14/16.32 (step @p226 :rule refl :args (@t39)) % 16.14/16.32 (step @p227 :rule nary_cong :premises (@p152 @p226) :args ((or @t110 @t39))) % 16.14/16.32 (step @p228 :rule trans :premises (@p227 @p225)) % 16.14/16.32 (step @p229 :rule bool-impl-elim :args (@t13 @t39)) % 16.14/16.32 (step @p230 :rule trans :premises (@p229 @p228)) % 16.14/16.32 (step @p231 :rule cong :premises (@p230) :args (@t40)) % 16.14/16.32 (step @p232 :rule eq_resolve :premises (@p11 @p231)) % 16.14/16.32 (step @p233 :rule eq-symm :args (@t59 @t51)) % 16.14/16.32 (step @p234 :rule refl :args (@t107)) % 16.14/16.32 (step @p235 :rule refl :args (@t68)) % 16.14/16.32 (step @p236 :rule nary_cong :premises (@p235 @p234 @p233) :args (@t141)) % 16.14/16.32 (step @p237 :rule refl :args (@t142)) % 16.14/16.32 (step @p238 :rule cong :premises (@p237 @p236) :args ((=> @t142 @t141))) % 16.14/16.32 (assume-push @p273 @t142) % 16.14/16.32 (step @p240 :rule instantiate :premises (@p232) :args (@t111)) % 16.14/16.32 (step-pop @p274 :rule scope :premises (@p240)) % 16.14/16.32 (step @p241 :rule process_scope :premises (@p274) :args (@t141)) % 16.14/16.32 (step @p243 :rule eq_resolve :premises (@p241 @p238)) % 16.14/16.32 (step @p244 :rule implies_elim :premises (@p243)) % 16.14/16.32 (step @p245 :rule chain_m_resolution :premises (@p244 @p232) :args (@t144 @t75 (@list @t142))) % 16.14/16.32 (step @p246 :rule cnf_or_pos :args (@t144)) % 16.14/16.32 (step @p247 :rule reordering :premises (@p246) :args ((or @t68 @t107 @t143 (not @t144)))) % 16.14/16.32 (step @p248 :rule chain_m_resolution :premises (@p247 @p15 @p140 @p245) :args (@t143 @t114 (@list @t48 @t103 @t144))) % 16.14/16.32 (step @p249 :rule symm :premises (@p248)) % 16.14/16.32 (step @p250 :rule instantiate :premises (@p50) :args ((@list @t59))) % 16.14/16.32 (step @p251 :rule cnf_or_pos :args (@t147)) % 16.14/16.32 (step @p252 :rule reordering :premises (@p251) :args ((or @t117 @t146 (not @t147)))) % 16.14/16.32 (step @p253 :rule chain_m_resolution :premises (@p252 @p171 @p250) :args (@t146 @t70 (@list @t112 @t147))) % 16.14/16.32 (step @p254 :rule cnf_and_pos :args (@t146 0)) % 16.14/16.32 (step @p255 :rule reordering :premises (@p254) :args ((or @t145 (not @t146)))) % 16.14/16.32 (step @p256 :rule chain_m_resolution :premises (@p255 @p253) :args (@t145 @t75 (@list @t146))) % 16.14/16.32 (step @p257 :rule symm :premises (@p256)) % 16.14/16.32 (step @p258 :rule cong :premises (@p148 @p83) :args (@t60)) % 16.14/16.32 (step @p259 :rule trans :premises (@p258 @p257 @p249)) % 16.14/16.32 (step @p260 :rule cong :premises (@p259 @p224) :args (@t64)) % 16.14/16.32 (step @p261 :rule trans :premises (@p260 @p40)) % 16.14/16.32 (step @p262 :rule eq_resolve :premises (@p261 @p39)) % 16.14/16.32 (step @p263 :rule false_elim :premises (@p262)) % 16.14/16.32 (step @p264 :rule cnf_or_pos :args (@t148)) % 16.14/16.32 (step @p265 :rule reordering :premises (@p264) :args ((or @t68 @t73 @t117 @t63 @t149))) % 16.14/16.32 (step @p266 :rule chain_m_resolution :premises (@p265 @p15 @p58 @p171 @p263) :args (@t149 (@list false false false true) (@list @t48 @t67 @t112 @t63))) % 16.14/16.32 (assume-push @p275 @t150) % 16.14/16.32 (step @p268 :rule instantiate :premises (@p32) :args ((@list @t59 tptp.xx @t49))) % 16.14/16.32 (step-pop @p276 :rule scope :premises (@p268)) % 16.14/16.32 (step @p269 :rule process_scope :premises (@p276) :args (@t148)) % 16.14/16.32 (step @p271 :rule implies_elim :premises (@p269)) % 16.14/16.32 (step @p272 false :rule chain_m_resolution :premises (@p271 @p266 @p32) :args (false (@list true false) (@list @t148 @t150))) % 16.14/16.32 ) % 16.14/16.32 % SZS output end Proof % 16.14/16.32 % cvc5 exiting %------------------------------------------------------------------------------