%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR144^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:13:06 AM UTC 2026 % Result : Theorem 150.80s 151.07s % Output : Proof 150.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR144^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 21:58:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 150.80/151.07 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.80/151.07 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.80/151.07 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.80/151.07 --- Run --ho-elim --full-saturate-quant at 18s... % 150.80/151.07 % SZS status Theorem % 150.80/151.07 % SZS output start Proof % 150.80/151.07 ( % 150.80/151.07 (declare-sort $$unsorted 0) % 150.80/151.07 (declare-const tptp.lMax_THFTYPE_i $$unsorted) % 150.80/151.07 (declare-const tptp.believes_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 150.80/151.07 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 150.80/151.07 (declare-const tptp.considers_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 150.80/151.07 (declare-const tptp.inverse_THFTYPE_IIiioIIiioIoI (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool)) % 150.80/151.07 (declare-const tptp.husband_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.80/151.07 (declare-const tptp.wife_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.80/151.07 (define @t1 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI) tptp.wife_THFTYPE_IiioI)) % 150.80/151.07 (define @t2 () (@var "INST1" $$unsorted)) % 150.80/151.07 (define @t3 () (@var "INST2" $$unsorted)) % 150.80/151.07 (define @t4 () (@var "REL2" (-> $$unsorted $$unsorted Bool))) % 150.80/151.07 (define @t5 () (_ (_ @t4 @t3) @t2)) % 150.80/151.07 (define @t6 () (@var "REL1" (-> $$unsorted $$unsorted Bool))) % 150.80/151.07 (define @t7 () (_ (_ @t6 @t2) @t3)) % 150.80/151.07 (define @t8 () (= @t7 @t5)) % 150.80/151.07 (define @t9 () (@list @t2 @t3)) % 150.80/151.07 (define @t10 () (forall @t9 @t8)) % 150.80/151.07 (define @t11 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI @t6) @t4)) % 150.80/151.07 (define @t12 () (=> @t11 @t10)) % 150.80/151.07 (define @t13 () (@list @t4 @t6)) % 150.80/151.07 (define @t14 () (forall @t13 @t12)) % 150.80/151.07 (define @t15 () (@var "FORMULA" Bool)) % 150.80/151.07 (define @t16 () (@var "AGENT" $$unsorted)) % 150.80/151.07 (define @t17 () (_ (_ tptp.considers_THFTYPE_IiooI @t16) @t15)) % 150.80/151.07 (define @t18 () (@var "TIME" $$unsorted)) % 150.80/151.07 (define @t19 () (_ tptp.holdsDuring_THFTYPE_IiooI @t18)) % 150.80/151.07 (define @t20 () (_ @t19 @t17)) % 150.80/151.07 (define @t21 () (@list @t18)) % 150.80/151.07 (define @t22 () (exists @t21 @t20)) % 150.80/151.07 (define @t23 () (_ (_ tptp.believes_THFTYPE_IiooI @t16) @t15)) % 150.80/151.07 (define @t24 () (=> @t23 @t22)) % 150.80/151.07 (define @t25 () (@list @t15 @t16)) % 150.80/151.07 (define @t26 () (forall @t25 @t24)) % 150.80/151.07 (define @t27 () (@var "X" $$unsorted)) % 150.80/151.07 (define @t28 () (_ (_ tptp.wife_THFTYPE_IiioI @t27) tptp.lMax_THFTYPE_i)) % 150.80/151.07 (define @t29 () (_ tptp.considers_THFTYPE_IiooI tptp.lMax_THFTYPE_i)) % 150.80/151.07 (define @t30 () (_ @t29 @t28)) % 150.80/151.07 (define @t31 () (@var "Z" $$unsorted)) % 150.80/151.07 (define @t32 () (_ tptp.holdsDuring_THFTYPE_IiooI @t31)) % 150.80/151.07 (define @t33 () (_ @t32 @t30)) % 150.80/151.07 (define @t34 () (@list @t31)) % 150.80/151.07 (define @t35 () (exists @t34 @t33)) % 150.80/151.07 (define @t36 () (not @t35)) % 150.80/151.07 (define @t37 () (@list @t27)) % 150.80/151.07 (define @t38 () (forall @t37 @t36)) % 150.80/151.07 (define @t39 () (_ (_ tptp.husband_THFTYPE_IiioI tptp.lMax_THFTYPE_i) @t31)) % 150.80/151.07 (define @t40 () (_ tptp.believes_THFTYPE_IiooI tptp.lMax_THFTYPE_i)) % 150.80/151.07 (define @t41 () (_ @t40 @t39)) % 150.80/151.07 (define @t42 () (not @t41)) % 150.80/151.07 (define @t43 () (exists @t34 @t42)) % 150.80/151.07 (define @t44 () (not @t43)) % 150.80/151.07 (define @t45 () (@const 0 (@ho-elim-sort (-> $$unsorted Bool Bool)))) % 150.80/151.07 (define @t46 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool Bool)) $$unsorted (@ho-elim-sort (-> Bool Bool))))) % 150.80/151.07 (define @t47 () (_ @t46 @t45 tptp.lMax_THFTYPE_i)) % 150.80/151.07 (define @t48 () (@purify @t47)) % 150.80/151.07 (define @t49 () (@var "BOUND_VARIABLE_7488" $$unsorted)) % 150.80/151.07 (define @t50 () (@var "BOUND_VARIABLE_7486" $$unsorted)) % 150.80/151.07 (define @t51 () (@var "BOUND_VARIABLE_7571" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.80/151.07 (define @t52 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.80/151.07 (define @t53 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.80/151.07 (define @t54 () (_ @t53 (_ @t52 @t51 @t50) @t49)) % 150.80/151.07 (define @t55 () (@var "BOUND_VARIABLE_7564" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.80/151.07 (define @t56 () (_ @t53 (_ @t52 @t55 @t49) @t50)) % 150.80/151.07 (define @t57 () (@const 4 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) Bool)))) % 150.80/151.07 (define @t58 () (@const 5 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) Bool))))) % 150.80/151.07 (define @t59 () (@const 6 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) Bool))) % 150.80/151.07 (define @t60 () (not (_ @t59 (_ @t58 @t57 @t51) @t55))) % 150.80/151.07 (define @t61 () (or @t60 (= @t54 @t56))) % 150.80/151.07 (define @t62 () (forall (@list @t55 @t51 @t50 @t49) @t61)) % 150.80/151.07 (define @t63 () (= (_ @t6 @t50 @t49) (_ @t4 @t49 @t50))) % 150.80/151.07 (define @t64 () (tptp.inverse_THFTYPE_IIiioIIiioIoI @t6 @t4)) % 150.80/151.07 (define @t65 () (not @t64)) % 150.80/151.07 (define @t66 () (or @t65 @t63)) % 150.80/151.07 (define @t67 () (forall (@list @t4 @t6 @t50 @t49) @t66)) % 150.80/151.07 (define @t68 () (@list @t50 @t49)) % 150.80/151.07 (define @t69 () (forall @t68 @t66)) % 150.80/151.07 (define @t70 () (forall @t68 @t63)) % 150.80/151.07 (define @t71 () (or @t65 @t70)) % 150.80/151.07 (define @t72 () (_ @t4 @t3 @t2)) % 150.80/151.07 (define @t73 () (_ @t6 @t2 @t3)) % 150.80/151.07 (define @t74 () (forall @t9 (= @t73 @t72))) % 150.80/151.07 (define @t75 () (not @t11)) % 150.80/151.07 (define @t76 () (or @t75 @t74)) % 150.80/151.07 (define @t77 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.80/151.07 (define @t78 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.80/151.07 (define @t79 () (_ @t59 (_ @t58 @t57 @t77) @t78)) % 150.80/151.07 (define @t80 () (_ @t52 @t77 tptp.lMax_THFTYPE_i)) % 150.80/151.07 (define @t81 () (_ @t53 @t80 tptp.lMax_THFTYPE_i)) % 150.80/151.07 (define @t82 () (_ @t53 (_ @t52 @t78 tptp.lMax_THFTYPE_i) tptp.lMax_THFTYPE_i)) % 150.80/151.07 (define @t83 () (= @t82 @t81)) % 150.80/151.07 (define @t84 () (not @t79)) % 150.80/151.07 (define @t85 () (or @t84 @t83)) % 150.80/151.07 (define @t86 () (@list false false)) % 150.80/151.07 (define @t87 () (not @t83)) % 150.80/151.07 (define @t88 () (not @t82)) % 150.80/151.07 (define @t89 () (@purify @t82)) % 150.80/151.07 (define @t90 () (@purify @t81)) % 150.80/151.07 (define @t91 () (@const 9 (-> (@ho-elim-sort (-> Bool Bool)) Bool Bool))) % 150.80/151.07 (define @t92 () (_ @t91 @t47 @t89)) % 150.80/151.07 (define @t93 () (_ @t91 @t47 @t82)) % 150.80/151.07 (define @t94 () (@purify @t93)) % 150.80/151.07 (define @t95 () (= @t93 @t94)) % 150.80/151.07 (define @t96 () (not @t94)) % 150.80/151.07 (define @t97 () (= @t47 @t48)) % 150.80/151.07 (define @t98 () (_ @t91 @t48 @t89)) % 150.80/151.07 (define @t99 () (_ @t91 @t47 @t90)) % 150.80/151.07 (define @t100 () (and @t97 @t89 @t92 @t90)) % 150.80/151.07 (define @t101 () (not @t90)) % 150.80/151.07 (define @t102 () (not @t89)) % 150.80/151.07 (define @t103 () (not @t92)) % 150.80/151.07 (define @t104 () (not @t97)) % 150.80/151.07 (define @t105 () (@purify @t99)) % 150.80/151.07 (define @t106 () (not @t99)) % 150.80/151.07 (define @t107 () (@const 10 (@ho-elim-sort (-> $$unsorted Bool Bool)))) % 150.80/151.07 (define @t108 () (_ @t46 @t107 @t18)) % 150.80/151.07 (define @t109 () (@const 11 (@ho-elim-sort (-> $$unsorted Bool Bool)))) % 150.80/151.07 (define @t110 () (tptp.considers_THFTYPE_IiooI @t16 @t15)) % 150.80/151.07 (define @t111 () (tptp.holdsDuring_THFTYPE_IiooI @t18 @t110)) % 150.80/151.07 (define @t112 () (not (forall @t21 (not @t111)))) % 150.80/151.07 (define @t113 () (tptp.believes_THFTYPE_IiooI @t16 @t15)) % 150.80/151.07 (define @t114 () (not @t23)) % 150.80/151.07 (define @t115 () (or @t114 @t112)) % 150.80/151.07 (define @t116 () (not @t20)) % 150.80/151.07 (define @t117 () (forall @t21 @t116)) % 150.80/151.07 (define @t118 () (not @t117)) % 150.80/151.07 (define @t119 () (_ @t46 @t109 tptp.lMax_THFTYPE_i)) % 150.80/151.07 (define @t120 () (forall @t34 (_ @t91 @t119 (_ @t53 @t80 @t31)))) % 150.80/151.07 (define @t121 () (tptp.husband_THFTYPE_IiioI tptp.lMax_THFTYPE_i @t31)) % 150.80/151.07 (define @t122 () (tptp.believes_THFTYPE_IiooI tptp.lMax_THFTYPE_i @t121)) % 150.80/151.07 (define @t123 () (forall @t34 @t122)) % 150.80/151.07 (define @t124 () (forall @t34 (not @t42))) % 150.80/151.07 (define @t125 () (not @t124)) % 150.80/151.07 (define @t126 () (_ @t91 @t119 @t81)) % 150.80/151.07 (define @t127 () (_ @t91 @t119 @t90)) % 150.80/151.07 (define @t128 () (@list false)) % 150.80/151.07 (define @t129 () (forall @t21 (not (_ @t91 @t108 @t99)))) % 150.80/151.07 (define @t130 () (not @t129)) % 150.80/151.07 (define @t131 () (not @t127)) % 150.80/151.07 (define @t132 () (or @t131 @t130)) % 150.80/151.07 (define @t133 () (@quantifiers_skolemize @t129 0)) % 150.80/151.07 (define @t134 () (_ @t46 @t107 @t133)) % 150.80/151.07 (define @t135 () (_ @t91 @t134 @t105)) % 150.80/151.07 (define @t136 () (_ @t91 @t134 @t99)) % 150.80/151.07 (define @t137 () (not (not @t136))) % 150.80/151.07 (define @t138 () (@list true)) % 150.80/151.07 (define @t139 () (@list @t27 @t31)) % 150.80/151.07 (define @t140 () (forall @t139 (not (_ @t91 (_ @t46 @t107 @t31) (_ @t91 @t47 (_ @t53 (_ @t52 @t78 @t27) tptp.lMax_THFTYPE_i)))))) % 150.80/151.07 (define @t141 () (tptp.wife_THFTYPE_IiioI @t27 tptp.lMax_THFTYPE_i)) % 150.80/151.07 (define @t142 () (tptp.considers_THFTYPE_IiooI tptp.lMax_THFTYPE_i @t141)) % 150.80/151.07 (define @t143 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t142)) % 150.80/151.07 (define @t144 () (not @t143)) % 150.80/151.07 (define @t145 () (forall @t139 @t144)) % 150.80/151.07 (define @t146 () (forall @t34 @t144)) % 150.80/151.07 (define @t147 () (not @t33)) % 150.80/151.07 (define @t148 () (forall @t34 @t147)) % 150.80/151.07 (define @t149 () (not @t148)) % 150.80/151.07 (define @t150 () (_ @t91 @t134 @t93)) % 150.80/151.07 (define @t151 () (not @t150)) % 150.80/151.07 (define @t152 () (_ @t91 @t134 @t94)) % 150.80/151.07 (define @t153 () (not @t152)) % 150.80/151.07 (define @t154 () (not @t135)) % 150.80/151.07 (define @t155 () (not @t105)) % 150.80/151.07 (define @t156 () (not @t153)) % 150.80/151.07 (define @t157 () (= true false)) % 150.80/151.07 (define @t158 () (and @t153 @t94 @t105 @t135)) % 150.80/151.07 (define @t159 () (not @t103)) % 150.80/151.07 (define @t160 () (and @t97 @t89 @t103 @t90)) % 150.80/151.07 (define @t161 () (and @t153 @t96 @t155 @t135)) % 150.80/151.07 (define @t162 () (not @t81)) % 150.80/151.07 (define @t163 () (not @t101)) % 150.80/151.07 (define @t164 () (not @t102)) % 150.80/151.07 (define @t165 () (and @t97 @t92 @t102 @t101)) % 150.80/151.07 (define @t166 () (and @t97 @t103 @t102 @t101)) % 150.80/151.07 (assume @p1 @t1) % 150.80/151.07 (assume @p2 @t14) % 150.80/151.07 (assume @p3 @t26) % 150.80/151.07 (assume @p4 @t38) % 150.80/151.07 (assume @p5 @t44) % 150.80/151.07 (assume @p6 true) % 150.80/151.07 (step @p7 :rule skolem_intro :args (@t48)) % 150.80/151.07 (step @p8 :rule symm :premises (@p7)) % 150.80/151.07 (step @p9 :rule eq-symm :args (@t54 @t56)) % 150.80/151.07 (step @p10 :rule refl :args (@t60)) % 150.80/151.07 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t61)) % 150.80/151.07 (step @p12 :rule cong :premises (@p11) :args (@t62)) % 150.80/151.07 ; WARNING: add trust step for TRUST % 150.80/151.07 ; trust TRUST PREPROCESS_HO_ELIM % 150.80/151.07 (step @p13 :rule trust :premises () :args ((= @t67 @t62))) % 150.80/151.07 (step @p14 :rule quant-merge-prenex :args ((= (forall @t13 @t69) @t67))) % 150.80/151.07 (step @p15 :rule alpha_equiv :args (@t70 (@list @t50 @t49) (@list @t2 @t3))) % 150.80/151.07 (step @p16 :rule refl :args (@t65)) % 150.80/151.07 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t71)) % 150.80/151.07 (step @p18 :rule quant-miniscope-or :args ((= @t69 @t71))) % 150.80/151.07 (step @p19 :rule trans :premises (@p18 @p17)) % 150.80/151.07 (step @p20 :rule symm :premises (@p19)) % 150.80/151.07 (step @p21 :rule cong :premises (@p20) :args ((forall @t13 (or @t65 @t74)))) % 150.80/151.07 (step @p22 :rule trans :premises (@p21 @p14)) % 150.80/151.07 (step @p23 :rule refl :args (@t74)) % 150.80/151.07 (step @p24 :rule refl :args (@t64)) % 150.80/151.07 (step @p25 :rule refl :args (@t11)) % 150.80/151.07 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t11 @t64))) % 150.80/151.07 (step @p27 :rule symm :premises (@p26)) % 150.80/151.07 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 150.80/151.07 (step @p29 :rule cong :premises (@p28) :args (@t75)) % 150.80/151.07 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t76)) % 150.80/151.07 (step @p31 :rule cong :premises (@p30) :args ((forall @t13 @t76))) % 150.80/151.07 (step @p32 :rule trans :premises (@p31 @p22)) % 150.80/151.07 (step @p33 :rule bool-impl-elim :args (@t11 @t74)) % 150.80/151.07 (step @p34 :rule cong :premises (@p33) :args ((forall @t13 (=> @t11 @t74)))) % 150.80/151.07 (step @p35 :rule trans :premises (@p34 @p32)) % 150.80/151.07 (step @p36 :rule refl :args (@t72)) % 150.80/151.07 (step @p37 :rule refl :args (@t5)) % 150.80/151.07 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t5 @t72))) % 150.80/151.07 (step @p39 :rule symm :premises (@p38)) % 150.80/151.07 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 150.80/151.07 (step @p41 :rule refl :args (@t73)) % 150.80/151.07 (step @p42 :rule refl :args (@t7)) % 150.80/151.07 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t7 @t73))) % 150.80/151.07 (step @p44 :rule symm :premises (@p43)) % 150.80/151.07 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 150.80/151.07 (step @p46 :rule cong :premises (@p45 @p40) :args (@t8)) % 150.80/151.07 (step @p47 :rule cong :premises (@p46) :args (@t10)) % 150.80/151.07 (step @p48 :rule refl :args (@t11)) % 150.80/151.07 (step @p49 :rule cong :premises (@p48 @p47) :args (@t12)) % 150.80/151.07 (step @p50 :rule cong :premises (@p49) :args (@t14)) % 150.80/151.07 (step @p51 :rule trans :premises (@p50 @p35)) % 150.80/151.07 (step @p52 :rule trans :premises (@p51 @p13 @p12)) % 150.80/151.07 (step @p53 :rule eq_resolve :premises (@p2 @p52)) % 150.80/151.07 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t78 @t77 tptp.lMax_THFTYPE_i tptp.lMax_THFTYPE_i))) % 150.80/151.07 ; trust TRUST PREPROCESS_HO_ELIM % 150.80/151.07 (step @p55 :rule trust :premises () :args ((= @t1 @t79))) % 150.80/151.07 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 150.80/151.07 (step @p57 :rule cnf_or_pos :args (@t85)) % 150.80/151.07 (step @p58 :rule reordering :premises (@p57) :args ((or @t84 @t83 (not @t85)))) % 150.80/151.07 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p54) :args (@t83 @t86 (@list @t79 @t85))) % 150.80/151.07 (step @p60 :rule cnf_equiv_pos1 :args (@t83)) % 150.80/151.07 (step @p61 :rule reordering :premises (@p60) :args ((or @t81 @t88 @t87))) % 150.80/151.07 (step @p62 :rule skolem_intro :args (@t89)) % 150.80/151.07 (step @p63 :rule symm :premises (@p62)) % 150.80/151.07 (step @p64 :rule equiv_elim1 :premises (@p63)) % 150.80/151.07 (step @p65 :rule skolem_intro :args (@t90)) % 150.80/151.07 (step @p66 :rule symm :premises (@p65)) % 150.80/151.07 (step @p67 :rule equiv_elim1 :premises (@p66)) % 150.80/151.07 (step @p68 :rule eq-symm :args (@t92 @t94)) % 150.80/151.07 (step @p69 :rule refl :args (@t94)) % 150.80/151.07 (step @p70 :rule refl :args (@t47)) % 150.80/151.07 (step @p71 :rule cong :premises (@p70 @p63) :args (@t93)) % 150.80/151.07 (step @p72 :rule cong :premises (@p71 @p69) :args (@t95)) % 150.80/151.07 (step @p73 :rule trans :premises (@p72 @p68)) % 150.80/151.07 (step @p74 :rule eq-symm :args (@t94 @t93)) % 150.80/151.07 (step @p75 :rule trans :premises (@p74 @p73)) % 150.80/151.07 (step @p76 :rule skolem_intro :args (@t94)) % 150.80/151.07 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 150.80/151.07 (step @p78 :rule equiv_elim1 :premises (@p77)) % 150.80/151.07 (step @p79 :rule reordering :premises (@p78) :args ((or @t92 @t96))) % 150.80/151.07 (assume-push @p481 @t97) % 150.80/151.07 (assume-push @p482 @t89) % 150.80/151.07 (assume-push @p483 @t92) % 150.80/151.07 (assume-push @p484 @t90) % 150.80/151.07 (assume-push @p485 @t92) % 150.80/151.07 (assume-push @p486 @t97) % 150.80/151.07 (assume-push @p487 @t89) % 150.80/151.07 (assume-push @p488 @t90) % 150.80/151.07 (step @p88 :rule true_intro :premises (@p483)) % 150.80/151.07 (step @p89 :rule refl :args (@t89)) % 150.80/151.07 (step @p90 :rule cong :premises (@p7 @p89) :args (@t98)) % 150.80/151.07 (step @p91 :rule true_intro :premises (@p482)) % 150.80/151.07 (step @p92 :rule symm :premises (@p91)) % 150.80/151.07 (step @p93 :rule true_intro :premises (@p484)) % 150.80/151.07 (step @p94 :rule trans :premises (@p93 @p92)) % 150.80/151.07 (step @p95 :rule cong :premises (@p8 @p94) :args (@t99)) % 150.80/151.07 (step @p96 :rule trans :premises (@p95 @p90 @p88)) % 150.80/151.07 (step @p97 :rule true_elim :premises (@p96)) % 150.80/151.07 (step-pop @p489 :rule scope :premises (@p97)) % 150.80/151.07 (step-pop @p490 :rule scope :premises (@p489)) % 150.80/151.07 (step-pop @p491 :rule scope :premises (@p490)) % 150.80/151.07 (step-pop @p492 :rule scope :premises (@p491)) % 150.80/151.07 (step @p98 :rule process_scope :premises (@p492) :args (@t99)) % 150.80/151.07 (step @p103 :rule and_intro :premises (@p483 @p8 @p482 @p484)) % 150.80/151.07 (step @p104 :rule modus_ponens :premises (@p103 @p98)) % 150.80/151.07 (step-pop @p493 :rule scope :premises (@p104)) % 150.80/151.07 (step-pop @p494 :rule scope :premises (@p493)) % 150.80/151.07 (step-pop @p495 :rule scope :premises (@p494)) % 150.80/151.07 (step-pop @p496 :rule scope :premises (@p495)) % 150.80/151.07 (step @p105 :rule process_scope :premises (@p496) :args (@t99)) % 150.80/151.07 (step @p110 :rule implies_elim :premises (@p105)) % 150.80/151.07 (step @p111 :rule cnf_and_neg :args (@t100)) % 150.80/151.07 (step @p112 :rule resolution :premises (@p111 @p110) :args (true @t100)) % 150.80/151.07 (step @p113 :rule reordering :premises (@p112) :args ((or @t104 @t103 @t102 @t101 @t99))) % 150.80/151.07 (step @p114 :rule skolem_intro :args (@t105)) % 150.80/151.07 (step @p115 :rule symm :premises (@p114)) % 150.80/151.07 (step @p116 :rule equiv_elim1 :premises (@p115)) % 150.80/151.07 (step @p117 :rule reordering :premises (@p116) :args ((or @t105 @t106))) % 150.80/151.07 ; trust TRUST PREPROCESS_HO_ELIM % 150.80/151.07 (step @p118 :rule trust :premises () :args ((= (forall @t25 (or (not @t113) @t112)) (forall @t25 (or (not (_ @t91 (_ @t46 @t109 @t16) @t15)) (not (forall @t21 (not (_ @t91 @t108 (_ @t91 (_ @t46 @t45 @t16) @t15)))))))))) % 150.80/151.07 (step @p119 :rule refl :args (@t112)) % 150.80/151.07 (step @p120 :rule refl :args (@t113)) % 150.80/151.07 (step @p121 :rule refl :args (@t23)) % 150.80/151.07 (step @p122 :rule cong :premises (@p121 @p120) :args ((= @t23 @t113))) % 150.80/151.07 (step @p123 :rule symm :premises (@p122)) % 150.80/151.07 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 150.80/151.07 (step @p125 :rule cong :premises (@p124) :args (@t114)) % 150.80/151.07 (step @p126 :rule nary_cong :premises (@p125 @p119) :args (@t115)) % 150.80/151.07 (step @p127 :rule cong :premises (@p126) :args ((forall @t25 @t115))) % 150.80/151.07 (step @p128 :rule bool-impl-elim :args (@t23 @t112)) % 150.80/151.07 (step @p129 :rule cong :premises (@p128) :args ((forall @t25 (=> @t23 @t112)))) % 150.80/151.07 (step @p130 :rule trans :premises (@p129 @p127)) % 150.80/151.07 (step @p131 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t18 @t17))) % 150.80/151.07 (step @p132 :rule refl :args (@t110)) % 150.80/151.07 (step @p133 :rule refl :args (@t18)) % 150.80/151.07 (step @p134 :rule cong :premises (@p133 @p132) :args (@t111)) % 150.80/151.07 (step @p135 :rule trans :premises (@p134 @p131)) % 150.80/151.07 (step @p136 :rule refl :args (@t19)) % 150.80/151.07 (step @p137 :rule ho_cong :premises (@p136 @p132)) % 150.80/151.07 (step @p138 :rule cong :premises (@p137 @p135) :args ((= (_ @t19 @t110) @t111))) % 150.80/151.07 (step @p139 :rule symm :premises (@p138)) % 150.80/151.07 (step @p140 :rule refl :args (@t20)) % 150.80/151.07 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 150.80/151.07 (step @p142 :rule refl :args (@t17)) % 150.80/151.07 (step @p143 :rule cong :premises (@p142 @p132) :args ((= @t17 @t110))) % 150.80/151.07 (step @p144 :rule symm :premises (@p143)) % 150.80/151.07 (step @p145 :rule eq_resolve :premises (@p142 @p144)) % 150.80/151.07 (step @p146 :rule ho_cong :premises (@p136 @p145)) % 150.80/151.07 (step @p147 :rule trans :premises (@p146 @p141)) % 150.80/151.07 (step @p148 :rule cong :premises (@p147) :args (@t116)) % 150.80/151.07 (step @p149 :rule cong :premises (@p148) :args (@t117)) % 150.80/151.07 (step @p150 :rule cong :premises (@p149) :args (@t118)) % 150.80/151.07 (step @p151 :rule exists-elim :args ((= @t22 @t118))) % 150.80/151.07 (step @p152 :rule trans :premises (@p151 @p150)) % 150.80/151.07 (step @p153 :rule refl :args (@t23)) % 150.80/151.07 (step @p154 :rule cong :premises (@p153 @p152) :args (@t24)) % 150.80/151.07 (step @p155 :rule cong :premises (@p154) :args (@t26)) % 150.80/151.07 (step @p156 :rule trans :premises (@p155 @p130)) % 150.80/151.07 (step @p157 :rule trans :premises (@p156 @p118)) % 150.80/151.07 (step @p158 :rule eq_resolve :premises (@p3 @p157)) % 150.80/151.07 (step @p159 :rule instantiate :premises (@p158) :args ((@list @t90 tptp.lMax_THFTYPE_i))) % 150.80/151.07 ; trust TRUST PREPROCESS_HO_ELIM % 150.80/151.07 (step @p160 :rule trust :premises () :args ((= @t123 @t120))) % 150.80/151.07 (step @p161 :rule bool-double-not-elim :args (@t123)) % 150.80/151.08 (step @p162 :rule refl :args ((tptp.believes_THFTYPE_IiooI tptp.lMax_THFTYPE_i @t39))) % 150.80/151.08 (step @p163 :rule refl :args (@t121)) % 150.80/151.08 (step @p164 :rule refl :args (tptp.lMax_THFTYPE_i)) % 150.80/151.08 (step @p165 :rule cong :premises (@p164 @p163) :args (@t122)) % 150.80/151.08 (step @p166 :rule trans :premises (@p165 @p162)) % 150.80/151.08 (step @p167 :rule refl :args (@t40)) % 150.80/151.08 (step @p168 :rule ho_cong :premises (@p167 @p163)) % 150.80/151.08 (step @p169 :rule cong :premises (@p168 @p166) :args ((= (_ @t40 @t121) @t122))) % 150.80/151.08 (step @p170 :rule symm :premises (@p169)) % 150.80/151.08 (step @p171 :rule refl :args (@t41)) % 150.80/151.08 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 150.80/151.08 (step @p173 :rule refl :args (@t39)) % 150.80/151.08 (step @p174 :rule cong :premises (@p173 @p163) :args ((= @t39 @t121))) % 150.80/151.08 (step @p175 :rule symm :premises (@p174)) % 150.80/151.08 (step @p176 :rule eq_resolve :premises (@p173 @p175)) % 150.80/151.08 (step @p177 :rule ho_cong :premises (@p167 @p176)) % 150.80/151.08 (step @p178 :rule trans :premises (@p177 @p172)) % 150.80/151.08 (step @p179 :rule cong :premises (@p178) :args ((forall @t34 @t41))) % 150.80/151.08 (step @p180 :rule bool-double-not-elim :args (@t41)) % 150.80/151.08 (step @p181 :rule cong :premises (@p180) :args (@t124)) % 150.80/151.08 (step @p182 :rule trans :premises (@p181 @p179)) % 150.80/151.08 (step @p183 :rule cong :premises (@p182) :args (@t125)) % 150.80/151.08 (step @p184 :rule exists-elim :args ((= @t43 @t125))) % 150.80/151.08 (step @p185 :rule trans :premises (@p184 @p183)) % 150.80/151.08 (step @p186 :rule cong :premises (@p185) :args (@t44)) % 150.80/151.08 (step @p187 :rule trans :premises (@p186 @p161)) % 150.80/151.08 (step @p188 :rule trans :premises (@p187 @p160)) % 150.80/151.08 (step @p189 :rule eq_resolve :premises (@p5 @p188)) % 150.80/151.08 (step @p190 :rule refl :args (@t119)) % 150.80/151.08 (step @p191 :rule cong :premises (@p190 @p66) :args (@t126)) % 150.80/151.08 (step @p192 :rule refl :args (@t120)) % 150.80/151.08 (step @p193 :rule cong :premises (@p192 @p191) :args ((=> @t120 @t126))) % 150.80/151.08 (assume-push @p497 @t120) % 150.80/151.08 (step @p195 :rule instantiate :premises (@p189) :args ((@list tptp.lMax_THFTYPE_i))) % 150.80/151.08 (step-pop @p498 :rule scope :premises (@p195)) % 150.80/151.08 (step @p196 :rule process_scope :premises (@p498) :args (@t126)) % 150.80/151.08 (step @p198 :rule eq_resolve :premises (@p196 @p193)) % 150.80/151.08 (step @p199 :rule implies_elim :premises (@p198)) % 150.80/151.08 (step @p200 :rule chain_m_resolution :premises (@p199 @p189) :args (@t127 @t128 (@list @t120))) % 150.80/151.08 (step @p201 :rule cnf_or_pos :args (@t132)) % 150.80/151.08 (step @p202 :rule reordering :premises (@p201) :args ((or @t131 @t130 (not @t132)))) % 150.80/151.08 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p159) :args (@t130 @t86 (@list @t127 @t132))) % 150.80/151.08 (step @p204 :rule refl :args (@t135)) % 150.80/151.08 (step @p205 :rule bool-double-not-elim :args (@t129)) % 150.80/151.08 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or (not @t130) @t135))) % 150.80/151.08 (step @p207 :rule refl :args (@t134)) % 150.80/151.08 (step @p208 :rule cong :premises (@p207 @p115) :args (@t136)) % 150.80/151.08 (step @p209 :rule refl :args (@t130)) % 150.80/151.08 (step @p210 :rule cong :premises (@p209 @p208) :args ((=> @t130 @t136))) % 150.80/151.08 (step @p211 :rule bool-double-not-elim :args (@t136)) % 150.80/151.08 (step @p212 :rule cong :premises (@p209 @p211) :args ((=> @t130 @t137))) % 150.80/151.08 (step @p213 :rule trans :premises (@p212 @p210)) % 150.80/151.08 (assume-push @p499 @t130) % 150.80/151.08 (step @p215 :rule skolemize :premises (@p203)) % 150.80/151.08 (step-pop @p500 :rule scope :premises (@p215)) % 150.80/151.08 (step @p216 :rule process_scope :premises (@p500) :args (@t137)) % 150.80/151.08 (step @p218 :rule eq_resolve :premises (@p216 @p213)) % 150.80/151.08 (step @p219 :rule implies_elim :premises (@p218)) % 150.80/151.08 (step @p220 :rule eq_resolve :premises (@p219 @p206)) % 150.80/151.08 (step @p221 :rule chain_m_resolution :premises (@p220 @p203) :args (@t135 @t138 (@list @t129))) % 150.80/151.08 ; trust TRUST PREPROCESS_HO_ELIM % 150.80/151.08 (step @p222 :rule trust :premises () :args ((= @t145 @t140))) % 150.80/151.08 (step @p223 :rule quant-merge-prenex :args ((= (forall @t37 @t146) @t145))) % 150.80/151.08 (step @p224 :rule bool-double-not-elim :args (@t146)) % 150.80/151.08 (step @p225 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t31 @t30))) % 150.80/151.08 (step @p226 :rule refl :args ((tptp.considers_THFTYPE_IiooI tptp.lMax_THFTYPE_i @t28))) % 150.80/151.08 (step @p227 :rule refl :args (@t141)) % 150.80/151.08 (step @p228 :rule cong :premises (@p164 @p227) :args (@t142)) % 150.80/151.08 (step @p229 :rule trans :premises (@p228 @p226)) % 150.80/151.08 (step @p230 :rule refl :args (@t31)) % 150.80/151.08 (step @p231 :rule cong :premises (@p230 @p229) :args (@t143)) % 150.80/151.08 (step @p232 :rule trans :premises (@p231 @p225)) % 150.80/151.08 (step @p233 :rule refl :args (@t32)) % 150.80/151.08 (step @p234 :rule ho_cong :premises (@p233 @p229)) % 150.80/151.08 (step @p235 :rule cong :premises (@p234 @p232) :args ((= (_ @t32 @t142) @t143))) % 150.80/151.08 (step @p236 :rule symm :premises (@p235)) % 150.80/151.08 (step @p237 :rule refl :args (@t33)) % 150.80/151.08 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 150.80/151.08 (step @p239 :rule refl :args (@t29)) % 150.80/151.08 (step @p240 :rule ho_cong :premises (@p239 @p227)) % 150.80/151.08 (step @p241 :rule cong :premises (@p240 @p229) :args ((= (_ @t29 @t141) @t142))) % 150.80/151.08 (step @p242 :rule symm :premises (@p241)) % 150.80/151.08 (step @p243 :rule refl :args (@t30)) % 150.80/151.08 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 150.80/151.08 (step @p245 :rule refl :args (@t28)) % 150.80/151.08 (step @p246 :rule cong :premises (@p245 @p227) :args ((= @t28 @t141))) % 150.80/151.08 (step @p247 :rule symm :premises (@p246)) % 150.80/151.08 (step @p248 :rule eq_resolve :premises (@p245 @p247)) % 150.80/151.08 (step @p249 :rule ho_cong :premises (@p239 @p248)) % 150.80/151.08 (step @p250 :rule trans :premises (@p249 @p244)) % 150.80/151.08 (step @p251 :rule ho_cong :premises (@p233 @p250)) % 150.80/151.08 (step @p252 :rule trans :premises (@p251 @p238)) % 150.80/151.08 (step @p253 :rule cong :premises (@p252) :args (@t147)) % 150.80/151.08 (step @p254 :rule cong :premises (@p253) :args (@t148)) % 150.80/151.08 (step @p255 :rule cong :premises (@p254) :args (@t149)) % 150.80/151.08 (step @p256 :rule exists-elim :args ((= @t35 @t149))) % 150.80/151.08 (step @p257 :rule trans :premises (@p256 @p255)) % 150.80/151.08 (step @p258 :rule cong :premises (@p257) :args (@t36)) % 150.80/151.08 (step @p259 :rule trans :premises (@p258 @p224)) % 150.80/151.08 (step @p260 :rule cong :premises (@p259) :args (@t38)) % 150.80/151.08 (step @p261 :rule trans :premises (@p260 @p223)) % 150.80/151.08 (step @p262 :rule trans :premises (@p261 @p222)) % 150.80/151.08 (step @p263 :rule eq_resolve :premises (@p4 @p262)) % 150.80/151.08 (step @p264 :rule eq-refl :args (@t93)) % 150.80/151.08 (step @p265 :rule refl :args (@t93)) % 150.80/151.08 (step @p266 :rule cong :premises (@p265 @p76) :args (@t95)) % 150.80/151.08 (step @p267 :rule trans :premises (@p266 @p264)) % 150.80/151.08 (step @p268 :rule true_elim :premises (@p267)) % 150.80/151.08 (step @p269 :rule cong :premises (@p207 @p268) :args (@t150)) % 150.80/151.08 (step @p270 :rule cong :premises (@p269) :args (@t151)) % 150.80/151.08 (step @p271 :rule refl :args (@t140)) % 150.80/151.08 (step @p272 :rule cong :premises (@p271 @p270) :args ((=> @t140 @t151))) % 150.80/151.08 (assume-push @p501 @t140) % 150.80/151.08 (step @p274 :rule instantiate :premises (@p263) :args ((@list tptp.lMax_THFTYPE_i @t133))) % 150.80/151.08 (step-pop @p502 :rule scope :premises (@p274)) % 150.80/151.08 (step @p275 :rule process_scope :premises (@p502) :args (@t151)) % 150.80/151.08 (step @p277 :rule eq_resolve :premises (@p275 @p272)) % 150.80/151.08 (step @p278 :rule implies_elim :premises (@p277)) % 150.80/151.08 (step @p279 :rule chain_m_resolution :premises (@p278 @p263) :args (@t153 @t128 (@list @t140))) % 150.80/151.08 (step @p280 :rule bool-double-not-elim :args (@t152)) % 150.80/151.08 (step @p281 :rule refl :args (@t154)) % 150.80/151.08 (step @p282 :rule refl :args (@t155)) % 150.80/151.08 (step @p283 :rule refl :args (@t96)) % 150.80/151.08 (step @p284 :rule nary_cong :premises (@p283 @p282 @p281 @p280) :args ((or @t96 @t155 @t154 @t156))) % 150.80/151.08 (assume-push @p503 @t153) % 150.80/151.08 (assume-push @p504 @t94) % 150.80/151.08 (assume-push @p505 @t105) % 150.80/151.08 (assume-push @p506 @t135) % 150.80/151.08 (step @p289 :rule evaluate :args (@t157)) % 150.80/151.08 (step @p290 :rule false_intro :premises (@p279)) % 150.80/151.08 (step @p291 :rule true_intro :premises (@p504)) % 150.80/151.08 (step @p292 :rule symm :premises (@p291)) % 150.80/151.08 (step @p293 :rule true_intro :premises (@p505)) % 150.80/151.08 (step @p294 :rule trans :premises (@p293 @p292)) % 150.80/151.08 (step @p295 :rule cong :premises (@p207 @p294) :args (@t135)) % 150.80/151.08 (step @p296 :rule true_intro :premises (@p221)) % 150.80/151.08 (step @p297 :rule symm :premises (@p296)) % 150.80/151.08 (step @p298 :rule trans :premises (@p297 @p295 @p290)) % 150.80/151.08 (step @p299 false :rule eq_resolve :premises (@p298 @p289)) % 150.80/151.08 (step-pop @p507 :rule scope :premises (@p299)) % 150.80/151.08 (step-pop @p508 :rule scope :premises (@p507)) % 150.80/151.08 (step-pop @p509 :rule scope :premises (@p508)) % 150.80/151.08 (step-pop @p510 :rule scope :premises (@p509)) % 150.80/151.08 (step @p300 :rule process_scope :premises (@p510) :args (false)) % 150.80/151.08 (assume-push @p511 @t94) % 150.80/151.08 (assume-push @p512 @t105) % 150.80/151.08 (assume-push @p513 @t135) % 150.80/151.08 (assume-push @p514 @t153) % 150.80/151.08 (step @p309 :rule and_intro :premises (@p279 @p511 @p512 @p221)) % 150.80/151.08 (step-pop @p515 :rule scope :premises (@p309)) % 150.80/151.08 (step-pop @p516 :rule scope :premises (@p515)) % 150.80/151.08 (step-pop @p517 :rule scope :premises (@p516)) % 150.80/151.08 (step-pop @p518 :rule scope :premises (@p517)) % 150.80/151.08 (step @p310 :rule process_scope :premises (@p518) :args (@t158)) % 150.80/151.08 (step @p315 :rule implies_elim :premises (@p310)) % 150.80/151.08 (step @p316 :rule resolution :premises (@p315 @p300) :args (true @t158)) % 150.80/151.08 (step @p317 :rule not_and :premises (@p316)) % 150.80/151.08 (step @p318 :rule eq_resolve :premises (@p317 @p284)) % 150.80/151.08 (step @p319 :rule reordering :premises (@p318) :args ((or @t96 @t154 @t155 @t152))) % 150.80/151.08 (step @p320 :rule chain_m_resolution :premises (@p319 @p279 @p221 @p117 @p113 @p8 @p79) :args ((or @t96 @t102 @t101) (@list true false false false false false) (@list @t152 @t135 @t105 @t99 @t97 @t92))) % 150.80/151.08 (step @p321 :rule equiv_elim2 :premises (@p77)) % 150.80/151.08 (step @p322 :rule refl :args (@t106)) % 150.80/151.08 (step @p323 :rule refl :args (@t101)) % 150.80/151.08 (step @p324 :rule bool-double-not-elim :args (@t92)) % 150.80/151.08 (step @p325 :rule refl :args (@t102)) % 150.80/151.08 (step @p326 :rule refl :args (@t104)) % 150.80/151.08 (step @p327 :rule nary_cong :premises (@p326 @p325 @p324 @p323 @p322) :args ((or @t104 @t102 @t159 @t101 @t106))) % 150.80/151.08 (assume-push @p519 @t97) % 150.80/151.08 (assume-push @p520 @t89) % 150.80/151.08 (assume-push @p521 @t103) % 150.80/151.08 (assume-push @p522 @t90) % 150.80/151.08 (assume-push @p523 @t103) % 150.80/151.08 (assume-push @p524 @t97) % 150.80/151.08 (assume-push @p525 @t89) % 150.80/151.08 (assume-push @p526 @t90) % 150.80/151.08 (step @p336 :rule false_intro :premises (@p521)) % 150.80/151.08 (step @p89 :rule refl :args (@t89)) % 150.80/151.08 (step @p90 :rule cong :premises (@p7 @p89) :args (@t98)) % 150.80/151.08 (step @p337 :rule true_intro :premises (@p520)) % 150.80/151.08 (step @p338 :rule symm :premises (@p337)) % 150.80/151.08 (step @p339 :rule true_intro :premises (@p522)) % 150.80/151.08 (step @p340 :rule trans :premises (@p339 @p338)) % 150.80/151.08 (step @p341 :rule cong :premises (@p8 @p340) :args (@t99)) % 150.80/151.08 (step @p342 :rule trans :premises (@p341 @p90 @p336)) % 150.80/151.08 (step @p343 :rule false_elim :premises (@p342)) % 150.80/151.08 (step-pop @p527 :rule scope :premises (@p343)) % 150.80/151.08 (step-pop @p528 :rule scope :premises (@p527)) % 150.80/151.08 (step-pop @p529 :rule scope :premises (@p528)) % 150.80/151.08 (step-pop @p530 :rule scope :premises (@p529)) % 150.80/151.08 (step @p344 :rule process_scope :premises (@p530) :args (@t106)) % 150.80/151.08 (step @p349 :rule and_intro :premises (@p521 @p8 @p520 @p522)) % 150.80/151.08 (step @p350 :rule modus_ponens :premises (@p349 @p344)) % 150.80/151.08 (step-pop @p531 :rule scope :premises (@p350)) % 150.80/151.08 (step-pop @p532 :rule scope :premises (@p531)) % 150.80/151.08 (step-pop @p533 :rule scope :premises (@p532)) % 150.80/151.08 (step-pop @p534 :rule scope :premises (@p533)) % 150.80/151.08 (step @p351 :rule process_scope :premises (@p534) :args (@t106)) % 150.80/151.08 (step @p356 :rule implies_elim :premises (@p351)) % 150.80/151.08 (step @p357 :rule cnf_and_neg :args (@t160)) % 150.80/151.08 (step @p358 :rule resolution :premises (@p357 @p356) :args (true @t160)) % 150.80/151.08 (step @p359 :rule eq_resolve :premises (@p358 @p327)) % 150.80/151.08 (step @p360 :rule reordering :premises (@p359) :args ((or @t104 @t92 @t102 @t101 @t106))) % 150.80/151.08 (step @p361 :rule equiv_elim2 :premises (@p115)) % 150.80/151.08 (step @p362 :rule bool-double-not-elim :args (@t105)) % 150.80/151.08 (step @p363 :rule bool-double-not-elim :args (@t94)) % 150.80/151.08 (step @p364 :rule nary_cong :premises (@p363 @p281 @p362 @p280) :args ((or (not @t96) @t154 (not @t155) @t156))) % 150.80/151.08 (assume-push @p535 @t153) % 150.80/151.08 (assume-push @p536 @t96) % 150.80/151.08 (assume-push @p537 @t155) % 150.80/151.08 (assume-push @p538 @t135) % 150.80/151.08 (step @p289 :rule evaluate :args (@t157)) % 150.80/151.08 (step @p290 :rule false_intro :premises (@p279)) % 150.80/151.08 (step @p369 :rule false_intro :premises (@p536)) % 150.80/151.08 (step @p370 :rule symm :premises (@p369)) % 150.80/151.08 (step @p371 :rule false_intro :premises (@p537)) % 150.80/151.08 (step @p372 :rule trans :premises (@p371 @p370)) % 150.80/151.08 (step @p373 :rule cong :premises (@p207 @p372) :args (@t135)) % 150.80/151.08 (step @p296 :rule true_intro :premises (@p221)) % 150.80/151.08 (step @p297 :rule symm :premises (@p296)) % 150.80/151.08 (step @p374 :rule trans :premises (@p297 @p373 @p290)) % 150.80/151.08 (step @p375 false :rule eq_resolve :premises (@p374 @p289)) % 150.80/151.08 (step-pop @p539 :rule scope :premises (@p375)) % 150.80/151.08 (step-pop @p540 :rule scope :premises (@p539)) % 150.80/151.08 (step-pop @p541 :rule scope :premises (@p540)) % 150.80/151.08 (step-pop @p542 :rule scope :premises (@p541)) % 150.80/151.08 (step @p376 :rule process_scope :premises (@p542) :args (false)) % 150.80/151.08 (assume-push @p543 @t96) % 150.80/151.08 (assume-push @p544 @t135) % 150.80/151.08 (assume-push @p545 @t155) % 150.80/151.08 (assume-push @p546 @t153) % 150.80/151.08 (step @p385 :rule and_intro :premises (@p279 @p543 @p545 @p221)) % 150.80/151.08 (step-pop @p547 :rule scope :premises (@p385)) % 150.80/151.08 (step-pop @p548 :rule scope :premises (@p547)) % 150.80/151.08 (step-pop @p549 :rule scope :premises (@p548)) % 150.80/151.08 (step-pop @p550 :rule scope :premises (@p549)) % 150.80/151.08 (step @p386 :rule process_scope :premises (@p550) :args (@t161)) % 150.80/151.08 (step @p391 :rule implies_elim :premises (@p386)) % 150.80/151.08 (step @p392 :rule resolution :premises (@p391 @p376) :args (true @t161)) % 150.80/151.08 (step @p393 :rule not_and :premises (@p392)) % 150.80/151.08 (step @p394 :rule eq_resolve :premises (@p393 @p364)) % 150.80/151.08 (step @p395 :rule reordering :premises (@p394) :args ((or @t94 @t105 @t154 @t152))) % 150.80/151.08 (step @p396 :rule chain_m_resolution :premises (@p395 @p279 @p221 @p361 @p360 @p8 @p321 @p320 @p67 @p64 @p61 @p59) :args (@t88 (@list true false true true false true true false false false false) (@list @t152 @t135 @t105 @t99 @t97 @t92 @t94 @t90 @t89 @t81 @t83))) % 150.80/151.08 (step @p397 :rule equiv_elim2 :premises (@p63)) % 150.80/151.08 (step @p398 :rule chain_m_resolution :premises (@p397 @p396) :args (@t102 @t138 (@list @t82))) % 150.80/151.08 (step @p399 :rule cnf_equiv_pos2 :args (@t83)) % 150.80/151.08 (step @p400 :rule reordering :premises (@p399) :args ((or @t82 @t162 @t87))) % 150.80/151.08 (step @p401 :rule chain_m_resolution :premises (@p400 @p396 @p59) :args (@t162 (@list true false) (@list @t82 @t83))) % 150.80/151.08 (step @p402 :rule equiv_elim2 :premises (@p66)) % 150.80/151.08 (step @p403 :rule chain_m_resolution :premises (@p402 @p401) :args (@t101 @t138 (@list @t81))) % 150.80/151.08 (step @p404 :rule refl :args (@t99)) % 150.80/151.08 (step @p405 :rule bool-double-not-elim :args (@t90)) % 150.80/151.08 (step @p406 :rule bool-double-not-elim :args (@t89)) % 150.80/151.08 (step @p407 :rule refl :args (@t103)) % 150.80/151.08 (step @p408 :rule nary_cong :premises (@p326 @p407 @p406 @p405 @p404) :args ((or @t104 @t103 @t164 @t163 @t99))) % 150.80/151.08 (assume-push @p551 @t97) % 150.80/151.08 (assume-push @p552 @t92) % 150.80/151.08 (assume-push @p553 @t102) % 150.80/151.08 (assume-push @p554 @t101) % 150.80/151.08 (assume-push @p555 @t92) % 150.80/151.08 (assume-push @p556 @t97) % 150.80/151.08 (assume-push @p557 @t102) % 150.80/151.08 (assume-push @p558 @t101) % 150.80/151.08 (step @p417 :rule true_intro :premises (@p552)) % 150.80/151.08 (step @p89 :rule refl :args (@t89)) % 150.80/151.08 (step @p90 :rule cong :premises (@p7 @p89) :args (@t98)) % 150.80/151.08 (step @p418 :rule false_intro :premises (@p553)) % 150.80/151.08 (step @p419 :rule symm :premises (@p418)) % 150.80/151.08 (step @p420 :rule false_intro :premises (@p554)) % 150.80/151.08 (step @p421 :rule trans :premises (@p420 @p419)) % 150.80/151.08 (step @p422 :rule cong :premises (@p8 @p421) :args (@t99)) % 150.80/151.08 (step @p423 :rule trans :premises (@p422 @p90 @p417)) % 150.80/151.08 (step @p424 :rule true_elim :premises (@p423)) % 150.80/151.08 (step-pop @p559 :rule scope :premises (@p424)) % 150.80/151.08 (step-pop @p560 :rule scope :premises (@p559)) % 150.80/151.08 (step-pop @p561 :rule scope :premises (@p560)) % 150.80/151.08 (step-pop @p562 :rule scope :premises (@p561)) % 150.80/151.08 (step @p425 :rule process_scope :premises (@p562) :args (@t99)) % 150.80/151.08 (step @p430 :rule and_intro :premises (@p552 @p8 @p553 @p554)) % 150.80/151.08 (step @p431 :rule modus_ponens :premises (@p430 @p425)) % 150.80/151.08 (step-pop @p563 :rule scope :premises (@p431)) % 150.80/151.08 (step-pop @p564 :rule scope :premises (@p563)) % 150.80/151.08 (step-pop @p565 :rule scope :premises (@p564)) % 150.80/151.08 (step-pop @p566 :rule scope :premises (@p565)) % 150.80/151.08 (step @p432 :rule process_scope :premises (@p566) :args (@t99)) % 150.80/151.08 (step @p437 :rule implies_elim :premises (@p432)) % 150.80/151.08 (step @p438 :rule cnf_and_neg :args (@t165)) % 150.80/151.08 (step @p439 :rule resolution :premises (@p438 @p437) :args (true @t165)) % 150.80/151.08 (step @p440 :rule eq_resolve :premises (@p439 @p408)) % 150.80/151.08 (step @p441 :rule reordering :premises (@p440) :args ((or @t104 @t89 @t103 @t90 @t99))) % 150.80/151.08 (step @p442 :rule chain_m_resolution :premises (@p441 @p403 @p398 @p8 @p117 @p319 @p279 @p221 @p79) :args (@t96 (@list true true false true true true false false) (@list @t90 @t89 @t97 @t99 @t105 @t152 @t135 @t92))) % 150.80/151.08 (step @p443 :rule chain_m_resolution :premises (@p321 @p442) :args (@t103 @t138 (@list @t94))) % 150.80/151.08 (step @p444 :rule chain_m_resolution :premises (@p395 @p442 @p221 @p279) :args (@t105 (@list true false true) (@list @t94 @t135 @t152))) % 150.80/151.08 (step @p445 :rule chain_m_resolution :premises (@p361 @p444) :args (@t99 @t128 (@list @t105))) % 150.80/151.08 (step @p446 :rule nary_cong :premises (@p326 @p324 @p406 @p405 @p322) :args ((or @t104 @t159 @t164 @t163 @t106))) % 150.80/151.08 (assume-push @p567 @t97) % 150.80/151.08 (assume-push @p568 @t103) % 150.80/151.08 (assume-push @p569 @t102) % 150.80/151.08 (assume-push @p570 @t101) % 150.80/151.08 (assume-push @p571 @t103) % 150.80/151.08 (assume-push @p572 @t97) % 150.80/151.08 (assume-push @p573 @t102) % 150.80/151.08 (assume-push @p574 @t101) % 150.80/151.08 (step @p455 :rule false_intro :premises (@p568)) % 150.80/151.08 (step @p89 :rule refl :args (@t89)) % 150.80/151.08 (step @p90 :rule cong :premises (@p7 @p89) :args (@t98)) % 150.80/151.08 (step @p456 :rule false_intro :premises (@p569)) % 150.80/151.08 (step @p457 :rule symm :premises (@p456)) % 150.80/151.08 (step @p458 :rule false_intro :premises (@p570)) % 150.80/151.08 (step @p459 :rule trans :premises (@p458 @p457)) % 150.80/151.08 (step @p460 :rule cong :premises (@p8 @p459) :args (@t99)) % 150.80/151.08 (step @p461 :rule trans :premises (@p460 @p90 @p455)) % 150.80/151.08 (step @p462 :rule false_elim :premises (@p461)) % 150.80/151.08 (step-pop @p575 :rule scope :premises (@p462)) % 150.80/151.08 (step-pop @p576 :rule scope :premises (@p575)) % 150.80/151.08 (step-pop @p577 :rule scope :premises (@p576)) % 150.80/151.08 (step-pop @p578 :rule scope :premises (@p577)) % 150.80/151.08 (step @p463 :rule process_scope :premises (@p578) :args (@t106)) % 150.80/151.08 (step @p468 :rule and_intro :premises (@p568 @p8 @p569 @p570)) % 150.80/151.08 (step @p469 :rule modus_ponens :premises (@p468 @p463)) % 150.80/151.08 (step-pop @p579 :rule scope :premises (@p469)) % 150.80/151.08 (step-pop @p580 :rule scope :premises (@p579)) % 150.80/151.08 (step-pop @p581 :rule scope :premises (@p580)) % 150.80/151.08 (step-pop @p582 :rule scope :premises (@p581)) % 150.80/151.08 (step @p470 :rule process_scope :premises (@p582) :args (@t106)) % 150.80/151.08 (step @p475 :rule implies_elim :premises (@p470)) % 150.80/151.08 (step @p476 :rule cnf_and_neg :args (@t166)) % 150.80/151.08 (step @p477 :rule resolution :premises (@p476 @p475) :args (true @t166)) % 150.80/151.08 (step @p478 :rule eq_resolve :premises (@p477 @p446)) % 150.80/151.08 (step @p479 :rule reordering :premises (@p478) :args ((or @t104 @t89 @t92 @t90 @t106))) % 150.80/151.08 (step @p480 false :rule chain_m_resolution :premises (@p479 @p445 @p443 @p403 @p398 @p8) :args (false (@list false true true true false) (@list @t99 @t92 @t90 @t89 @t97))) % 150.80/151.08 ) % 150.80/151.08 % SZS output end Proof % 150.80/151.08 % cvc5 exiting %------------------------------------------------------------------------------