%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ093^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:44:11 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ093^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 : Tue Jun 2 13:18:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (define @t1 () (@var "Xhh" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "P" (-> $$unsorted $$unsorted))) % 0.38/0.60 (define @t3 () (_ @t2 @t1)) % 0.38/0.60 (define @t4 () (@var "Xh" $$unsorted)) % 0.38/0.60 (define @t5 () (_ @t2 @t4)) % 0.38/0.60 (define @t6 () (= @t5 @t3)) % 0.38/0.60 (define @t7 () (not @t6)) % 0.38/0.60 (define @t8 () (@var "Xee" $$unsorted)) % 0.38/0.60 (define @t9 () (_ @t2 @t8)) % 0.38/0.60 (define @t10 () (@var "Xe" $$unsorted)) % 0.38/0.60 (define @t11 () (_ @t2 @t10)) % 0.38/0.60 (define @t12 () (= @t11 @t9)) % 0.38/0.60 (define @t13 () (not @t12)) % 0.38/0.60 (define @t14 () (@var "Xdd" $$unsorted)) % 0.38/0.60 (define @t15 () (_ @t2 @t14)) % 0.38/0.60 (define @t16 () (@var "Xd" $$unsorted)) % 0.38/0.60 (define @t17 () (_ @t2 @t16)) % 0.38/0.60 (define @t18 () (= @t17 @t15)) % 0.38/0.60 (define @t19 () (not @t18)) % 0.38/0.60 (define @t20 () (@var "Xcc" $$unsorted)) % 0.38/0.60 (define @t21 () (_ @t2 @t20)) % 0.38/0.60 (define @t22 () (@var "Xc" $$unsorted)) % 0.38/0.60 (define @t23 () (_ @t2 @t22)) % 0.38/0.60 (define @t24 () (= @t23 @t21)) % 0.38/0.60 (define @t25 () (not @t24)) % 0.38/0.60 (define @t26 () (@var "Xbb" $$unsorted)) % 0.38/0.60 (define @t27 () (_ @t2 @t26)) % 0.38/0.60 (define @t28 () (@var "Xb" $$unsorted)) % 0.38/0.60 (define @t29 () (_ @t2 @t28)) % 0.38/0.60 (define @t30 () (= @t29 @t27)) % 0.38/0.60 (define @t31 () (not @t30)) % 0.38/0.60 (define @t32 () (@var "Xaa" $$unsorted)) % 0.38/0.60 (define @t33 () (_ @t2 @t32)) % 0.38/0.60 (define @t34 () (@var "Xa" $$unsorted)) % 0.38/0.60 (define @t35 () (_ @t2 @t34)) % 0.38/0.60 (define @t36 () (= @t35 @t33)) % 0.38/0.60 (define @t37 () (not @t36)) % 0.38/0.60 (define @t38 () (or @t37 @t31 @t25 @t19 @t13 @t7)) % 0.38/0.60 (define @t39 () (= @t17 @t9)) % 0.38/0.60 (define @t40 () (= @t11 @t3)) % 0.38/0.60 (define @t41 () (not @t40)) % 0.38/0.60 (define @t42 () (and @t30 (= @t27 @t23) @t24 @t41)) % 0.38/0.60 (define @t43 () (=> @t42 @t39)) % 0.38/0.60 (define @t44 () (not (= @t35 @t27))) % 0.38/0.60 (define @t45 () (= @t23 @t15)) % 0.38/0.60 (define @t46 () (and @t12 @t6 @t45)) % 0.38/0.60 (define @t47 () (=> @t46 @t44)) % 0.38/0.60 (define @t48 () (= @t29 @t21)) % 0.38/0.60 (define @t49 () (not @t48)) % 0.38/0.60 (define @t50 () (and @t36 @t18 @t49)) % 0.38/0.60 (define @t51 () (=> @t50 @t40)) % 0.38/0.60 (define @t52 () (and @t24 (= @t21 @t17) @t18 @t44)) % 0.38/0.60 (define @t53 () (=> @t52 @t41)) % 0.38/0.60 (define @t54 () (not @t39)) % 0.38/0.60 (define @t55 () (and @t36 @t6 @t48)) % 0.38/0.60 (define @t56 () (=> @t55 @t54)) % 0.38/0.60 (define @t57 () (and @t36 @t30 @t40)) % 0.38/0.60 (define @t58 () (=> @t57 @t45)) % 0.38/0.60 (define @t59 () (and @t58 @t56 @t53 @t51 @t47 @t43)) % 0.38/0.60 (define @t60 () (=> @t59 @t38)) % 0.38/0.60 (define @t61 () (@list @t2)) % 0.38/0.60 (define @t62 () (forall @t61 @t60)) % 0.38/0.60 (define @t63 () (@list @t34 @t32 @t28 @t26 @t22 @t20 @t16 @t14 @t10 @t8 @t4 @t1)) % 0.38/0.60 (define @t64 () (exists @t63 @t62)) % 0.38/0.60 (define @t65 () (not @t64)) % 0.38/0.60 (define @t66 () (_ @t2 @t4)) % 0.38/0.60 (define @t67 () (_ @t2 @t1)) % 0.38/0.60 (define @t68 () (= @t67 @t66)) % 0.38/0.60 (define @t69 () (not @t68)) % 0.38/0.60 (define @t70 () (_ @t2 @t8)) % 0.38/0.60 (define @t71 () (_ @t2 @t10)) % 0.38/0.60 (define @t72 () (= @t71 @t70)) % 0.38/0.60 (define @t73 () (_ @t2 @t16)) % 0.38/0.60 (define @t74 () (_ @t2 @t14)) % 0.38/0.60 (define @t75 () (= @t74 @t73)) % 0.38/0.60 (define @t76 () (not @t75)) % 0.38/0.60 (define @t77 () (_ @t2 @t20)) % 0.38/0.60 (define @t78 () (_ @t2 @t22)) % 0.38/0.60 (define @t79 () (= @t78 @t77)) % 0.38/0.60 (define @t80 () (_ @t2 @t28)) % 0.38/0.60 (define @t81 () (_ @t2 @t26)) % 0.38/0.60 (define @t82 () (= @t81 @t80)) % 0.38/0.60 (define @t83 () (not @t82)) % 0.38/0.60 (define @t84 () (_ @t2 @t32)) % 0.38/0.60 (define @t85 () (_ @t2 @t34)) % 0.38/0.60 (define @t86 () (= @t85 @t84)) % 0.38/0.60 (define @t87 () (not @t86)) % 0.38/0.60 (define @t88 () (= @t70 @t73)) % 0.38/0.60 (define @t89 () (not @t88)) % 0.38/0.60 (define @t90 () (= @t67 @t71)) % 0.38/0.60 (define @t91 () (not @t90)) % 0.38/0.60 (define @t92 () (= @t85 @t81)) % 0.38/0.60 (define @t93 () (= @t74 @t78)) % 0.38/0.60 (define @t94 () (= @t80 @t77)) % 0.38/0.60 (define @t95 () (and @t86 @t82 @t90 (not @t93))) % 0.38/0.60 (define @t96 () (forall @t61 (or @t95 (and @t86 @t68 @t94 @t88) (and @t79 (= @t77 @t73) @t75 (not @t92) @t90) (and @t86 @t75 (not @t94) @t91) (and @t72 @t68 @t93 @t92) (and @t82 (= @t81 @t78) @t79 @t91 @t89) @t87 @t83 (not @t79) @t76 (not @t72) @t69))) % 0.38/0.60 (define @t97 () (forall @t63 (not @t96))) % 0.38/0.60 (define @t98 () (= @t70 @t71)) % 0.38/0.60 (define @t99 () (not @t98)) % 0.38/0.60 (define @t100 () (= @t77 @t78)) % 0.38/0.60 (define @t101 () (not @t100)) % 0.38/0.60 (define @t102 () (and @t82 (= @t78 @t81) @t100 @t91 @t89)) % 0.38/0.60 (define @t103 () (= @t81 @t85)) % 0.38/0.60 (define @t104 () (and @t98 @t68 @t93 @t103)) % 0.38/0.60 (define @t105 () (= @t77 @t80)) % 0.38/0.60 (define @t106 () (not @t105)) % 0.38/0.60 (define @t107 () (and @t86 @t75 @t106 @t91)) % 0.38/0.60 (define @t108 () (not @t103)) % 0.38/0.60 (define @t109 () (and @t100 (= @t73 @t77) @t75 @t108 @t90)) % 0.38/0.60 (define @t110 () (and @t86 @t68 @t105 @t88)) % 0.38/0.60 (define @t111 () (or @t95 @t110 @t109 @t107 @t104 @t102 @t87 @t83 @t101 @t76 @t99 @t69)) % 0.38/0.60 (define @t112 () (= @t3 @t5)) % 0.38/0.60 (define @t113 () (not @t112)) % 0.38/0.60 (define @t114 () (= @t9 @t11)) % 0.38/0.60 (define @t115 () (not @t114)) % 0.38/0.60 (define @t116 () (= @t15 @t17)) % 0.38/0.60 (define @t117 () (not @t116)) % 0.38/0.60 (define @t118 () (= @t21 @t23)) % 0.38/0.60 (define @t119 () (not @t118)) % 0.38/0.60 (define @t120 () (= @t27 @t29)) % 0.38/0.60 (define @t121 () (not @t120)) % 0.38/0.60 (define @t122 () (= @t9 @t17)) % 0.38/0.60 (define @t123 () (not @t122)) % 0.38/0.60 (define @t124 () (= @t3 @t11)) % 0.38/0.60 (define @t125 () (not @t124)) % 0.38/0.60 (define @t126 () (= @t23 @t27)) % 0.38/0.60 (define @t127 () (and @t120 @t126 @t118 @t125 @t123)) % 0.38/0.60 (define @t128 () (= @t27 @t35)) % 0.38/0.60 (define @t129 () (= @t15 @t23)) % 0.38/0.60 (define @t130 () (and @t114 @t112 @t129 @t128)) % 0.38/0.60 (define @t131 () (= @t21 @t29)) % 0.38/0.60 (define @t132 () (not @t131)) % 0.38/0.60 (define @t133 () (and @t36 @t116 @t132 @t125)) % 0.38/0.60 (define @t134 () (not @t128)) % 0.38/0.60 (define @t135 () (= @t17 @t21)) % 0.38/0.60 (define @t136 () (and @t118 @t135 @t116 @t134 @t124)) % 0.38/0.60 (define @t137 () (and @t36 @t112 @t131 @t122)) % 0.38/0.60 (define @t138 () (not @t129)) % 0.38/0.60 (define @t139 () (and @t36 @t120 @t124 @t138)) % 0.38/0.60 (define @t140 () (or @t139 @t137 @t136 @t133 @t130 @t127 @t37 @t121 @t119 @t117 @t115 @t113)) % 0.38/0.60 (define @t141 () (or @t37 @t121 @t119 @t117 @t115 @t113)) % 0.38/0.60 (define @t142 () (and @t120 @t126 @t118 @t125)) % 0.38/0.60 (define @t143 () (and @t114 @t112 @t129)) % 0.38/0.60 (define @t144 () (and @t36 @t116 @t132)) % 0.38/0.60 (define @t145 () (and @t118 @t135 @t116 @t134)) % 0.38/0.60 (define @t146 () (and @t36 @t112 @t131)) % 0.38/0.60 (define @t147 () (and @t36 @t120 @t124)) % 0.38/0.60 (define @t148 () (=> @t142 @t122)) % 0.38/0.60 (define @t149 () (not @t148)) % 0.38/0.60 (define @t150 () (=> @t143 @t134)) % 0.38/0.60 (define @t151 () (not @t150)) % 0.38/0.60 (define @t152 () (=> @t144 @t124)) % 0.38/0.60 (define @t153 () (not @t152)) % 0.38/0.60 (define @t154 () (=> @t145 @t125)) % 0.38/0.60 (define @t155 () (not @t154)) % 0.38/0.60 (define @t156 () (=> @t146 @t123)) % 0.38/0.60 (define @t157 () (not @t156)) % 0.38/0.60 (define @t158 () (=> @t147 @t129)) % 0.38/0.60 (define @t159 () (not @t158)) % 0.38/0.60 (define @t160 () (or @t159 @t157 @t155 @t153 @t151 @t149)) % 0.38/0.60 (define @t161 () (and @t158 @t156 @t154 @t152 @t150 @t148)) % 0.38/0.60 (define @t162 () (@const 0 $$unsorted)) % 0.38/0.60 (define @t163 () (_ @t2 @t162)) % 0.38/0.60 (define @t164 () (= @t163 @t163)) % 0.38/0.60 (define @t165 () (not @t164)) % 0.38/0.60 (define @t166 () (and @t164 @t164 @t164 @t165 @t165)) % 0.38/0.60 (define @t167 () (and @t164 @t164 @t164 @t164)) % 0.38/0.60 (define @t168 () (and @t164 @t164 @t165 @t165)) % 0.38/0.60 (define @t169 () (and @t164 @t164 @t164 @t165 @t164)) % 0.38/0.60 (define @t170 () (and @t164 @t164 @t164 @t165)) % 0.38/0.60 (define @t171 () (or @t170 @t167 @t169 @t168 @t167 @t166 @t165 @t165 @t165 @t165 @t165 @t165)) % 0.38/0.60 (define @t172 () (forall @t61 @t171)) % 0.38/0.60 (define @t173 () (not @t172)) % 0.38/0.60 (assume @p1 @t65) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule bool-double-not-elim :args (@t97)) % 0.38/0.60 (step @p4 :rule exists-elim :args ((= (exists @t63 @t96) (not @t97)))) % 0.38/0.60 (step @p5 :rule refl :args (@t69)) % 0.38/0.60 (step @p6 :rule eq-symm :args (@t70 @t71)) % 0.38/0.60 (step @p7 :rule cong :premises (@p6) :args (@t99)) % 0.38/0.60 (step @p8 :rule refl :args (@t76)) % 0.38/0.60 (step @p9 :rule eq-symm :args (@t77 @t78)) % 0.38/0.60 (step @p10 :rule cong :premises (@p9) :args (@t101)) % 0.38/0.60 (step @p11 :rule refl :args (@t83)) % 0.38/0.60 (step @p12 :rule refl :args (@t87)) % 0.38/0.60 (step @p13 :rule refl :args (@t89)) % 0.38/0.60 (step @p14 :rule refl :args (@t91)) % 0.38/0.60 (step @p15 :rule eq-symm :args (@t78 @t81)) % 0.38/0.60 (step @p16 :rule refl :args (@t82)) % 0.38/0.60 (step @p17 :rule nary_cong :premises (@p16 @p15 @p9 @p14 @p13) :args (@t102)) % 0.38/0.60 (step @p18 :rule eq-symm :args (@t81 @t85)) % 0.38/0.60 (step @p19 :rule refl :args (@t93)) % 0.38/0.60 (step @p20 :rule refl :args (@t68)) % 0.38/0.60 (step @p21 :rule nary_cong :premises (@p6 @p20 @p19 @p18) :args (@t104)) % 0.38/0.60 (step @p22 :rule eq-symm :args (@t77 @t80)) % 0.38/0.60 (step @p23 :rule cong :premises (@p22) :args (@t106)) % 0.38/0.60 (step @p24 :rule refl :args (@t75)) % 0.38/0.60 (step @p25 :rule refl :args (@t86)) % 0.38/0.60 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23 @p14) :args (@t107)) % 0.38/0.60 (step @p27 :rule refl :args (@t90)) % 0.38/0.60 (step @p28 :rule cong :premises (@p18) :args (@t108)) % 0.38/0.60 (step @p29 :rule eq-symm :args (@t73 @t77)) % 0.38/0.60 (step @p30 :rule nary_cong :premises (@p9 @p29 @p24 @p28 @p27) :args (@t109)) % 0.38/0.60 (step @p31 :rule refl :args (@t88)) % 0.38/0.60 (step @p32 :rule nary_cong :premises (@p25 @p20 @p22 @p31) :args (@t110)) % 0.38/0.60 (step @p33 :rule refl :args (@t95)) % 0.38/0.60 (step @p34 :rule nary_cong :premises (@p33 @p32 @p30 @p26 @p21 @p17 @p12 @p11 @p10 @p8 @p7 @p5) :args (@t111)) % 0.38/0.60 (step @p35 :rule cong :premises (@p34) :args ((forall @t61 @t111))) % 0.38/0.60 (step @p36 :rule refl :args (@t66)) % 0.38/0.60 (step @p37 :rule refl :args (@t5)) % 0.38/0.60 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t5 @t66))) % 0.38/0.60 (step @p39 :rule symm :premises (@p38)) % 0.38/0.60 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.38/0.60 (step @p41 :rule refl :args (@t67)) % 0.38/0.60 (step @p42 :rule refl :args (@t3)) % 0.38/0.60 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t3 @t67))) % 0.38/0.60 (step @p44 :rule symm :premises (@p43)) % 0.38/0.60 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.38/0.60 (step @p46 :rule cong :premises (@p45 @p40) :args (@t112)) % 0.38/0.60 (step @p47 :rule cong :premises (@p46) :args (@t113)) % 0.38/0.60 (step @p48 :rule refl :args (@t71)) % 0.38/0.60 (step @p49 :rule refl :args (@t11)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t11 @t71))) % 0.38/0.60 (step @p51 :rule symm :premises (@p50)) % 0.38/0.60 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.38/0.60 (step @p53 :rule refl :args (@t70)) % 0.38/0.60 (step @p54 :rule refl :args (@t9)) % 0.38/0.60 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t9 @t70))) % 0.38/0.60 (step @p56 :rule symm :premises (@p55)) % 0.38/0.60 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.38/0.60 (step @p58 :rule cong :premises (@p57 @p52) :args (@t114)) % 0.38/0.60 (step @p59 :rule cong :premises (@p58) :args (@t115)) % 0.38/0.60 (step @p60 :rule refl :args (@t73)) % 0.38/0.60 (step @p61 :rule refl :args (@t17)) % 0.38/0.60 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t17 @t73))) % 0.38/0.60 (step @p63 :rule symm :premises (@p62)) % 0.38/0.60 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.38/0.60 (step @p65 :rule refl :args (@t74)) % 0.38/0.60 (step @p66 :rule refl :args (@t15)) % 0.38/0.60 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t15 @t74))) % 0.38/0.60 (step @p68 :rule symm :premises (@p67)) % 0.38/0.60 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.38/0.60 (step @p70 :rule cong :premises (@p69 @p64) :args (@t116)) % 0.38/0.60 (step @p71 :rule cong :premises (@p70) :args (@t117)) % 0.38/0.60 (step @p72 :rule refl :args (@t78)) % 0.38/0.60 (step @p73 :rule refl :args (@t23)) % 0.38/0.60 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t23 @t78))) % 0.38/0.60 (step @p75 :rule symm :premises (@p74)) % 0.38/0.60 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.38/0.60 (step @p77 :rule refl :args (@t77)) % 0.38/0.60 (step @p78 :rule refl :args (@t21)) % 0.38/0.60 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t21 @t77))) % 0.38/0.60 (step @p80 :rule symm :premises (@p79)) % 0.38/0.60 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.38/0.60 (step @p82 :rule cong :premises (@p81 @p76) :args (@t118)) % 0.38/0.60 (step @p83 :rule cong :premises (@p82) :args (@t119)) % 0.38/0.60 (step @p84 :rule refl :args (@t80)) % 0.38/0.60 (step @p85 :rule refl :args (@t29)) % 0.38/0.60 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t29 @t80))) % 0.38/0.60 (step @p87 :rule symm :premises (@p86)) % 0.38/0.60 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.38/0.60 (step @p89 :rule refl :args (@t81)) % 0.38/0.60 (step @p90 :rule refl :args (@t27)) % 0.38/0.60 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t27 @t81))) % 0.38/0.60 (step @p92 :rule symm :premises (@p91)) % 0.38/0.60 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.38/0.60 (step @p94 :rule cong :premises (@p93 @p88) :args (@t120)) % 0.38/0.60 (step @p95 :rule cong :premises (@p94) :args (@t121)) % 0.38/0.60 (step @p96 :rule refl :args (@t84)) % 0.38/0.60 (step @p97 :rule refl :args (@t33)) % 0.38/0.60 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t33 @t84))) % 0.38/0.60 (step @p99 :rule symm :premises (@p98)) % 0.38/0.60 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.38/0.60 (step @p101 :rule refl :args (@t85)) % 0.38/0.60 (step @p102 :rule refl :args (@t35)) % 0.38/0.60 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t35 @t85))) % 0.38/0.60 (step @p104 :rule symm :premises (@p103)) % 0.38/0.60 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.38/0.60 (step @p106 :rule cong :premises (@p105 @p100) :args (@t36)) % 0.38/0.60 (step @p107 :rule cong :premises (@p106) :args (@t37)) % 0.38/0.60 (step @p108 :rule cong :premises (@p57 @p64) :args (@t122)) % 0.38/0.60 (step @p109 :rule cong :premises (@p108) :args (@t123)) % 0.38/0.60 (step @p110 :rule cong :premises (@p45 @p52) :args (@t124)) % 0.38/0.60 (step @p111 :rule cong :premises (@p110) :args (@t125)) % 0.38/0.60 (step @p112 :rule cong :premises (@p76 @p93) :args (@t126)) % 0.38/0.60 (step @p113 :rule nary_cong :premises (@p94 @p112 @p82 @p111 @p109) :args (@t127)) % 0.38/0.60 (step @p114 :rule cong :premises (@p93 @p105) :args (@t128)) % 0.38/0.60 (step @p115 :rule cong :premises (@p69 @p76) :args (@t129)) % 0.38/0.60 (step @p116 :rule nary_cong :premises (@p58 @p46 @p115 @p114) :args (@t130)) % 0.38/0.60 (step @p117 :rule cong :premises (@p81 @p88) :args (@t131)) % 0.38/0.60 (step @p118 :rule cong :premises (@p117) :args (@t132)) % 0.38/0.60 (step @p119 :rule nary_cong :premises (@p106 @p70 @p118 @p111) :args (@t133)) % 0.38/0.60 (step @p120 :rule cong :premises (@p114) :args (@t134)) % 0.38/0.60 (step @p121 :rule cong :premises (@p64 @p81) :args (@t135)) % 0.38/0.60 (step @p122 :rule nary_cong :premises (@p82 @p121 @p70 @p120 @p110) :args (@t136)) % 0.38/0.60 (step @p123 :rule nary_cong :premises (@p106 @p46 @p117 @p108) :args (@t137)) % 0.38/0.60 (step @p124 :rule cong :premises (@p115) :args (@t138)) % 0.38/0.60 (step @p125 :rule nary_cong :premises (@p106 @p94 @p110 @p124) :args (@t139)) % 0.38/0.60 (step @p126 :rule nary_cong :premises (@p125 @p123 @p122 @p119 @p116 @p113 @p107 @p95 @p83 @p71 @p59 @p47) :args (@t140)) % 0.38/0.60 (step @p127 :rule cong :premises (@p126) :args ((forall @t61 @t140))) % 0.38/0.60 (step @p128 :rule trans :premises (@p127 @p35)) % 0.38/0.60 (step @p129 :rule aci_norm :args ((= (or (or @t139 @t137 @t136 @t133 @t130 @t127) @t141) @t140))) % 0.38/0.60 (step @p130 :rule refl :args (@t141)) % 0.38/0.60 (step @p131 :rule aci_norm :args ((= (and @t142 @t123) @t127))) % 0.38/0.60 (step @p132 :rule bool-implies-de-morgan :args (@t142 @t122)) % 0.38/0.60 (step @p133 :rule trans :premises (@p132 @p131)) % 0.38/0.60 (step @p134 :rule aci_norm :args ((= (and @t143 @t128) @t130))) % 0.38/0.60 (step @p135 :rule bool-double-not-elim :args (@t128)) % 0.38/0.60 (step @p136 :rule refl :args (@t143)) % 0.38/0.60 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((and @t143 (not @t134)))) % 0.38/0.60 (step @p138 :rule bool-implies-de-morgan :args (@t143 @t134)) % 0.38/0.60 (step @p139 :rule trans :premises (@p138 @p137)) % 0.38/0.60 (step @p140 :rule trans :premises (@p139 @p134)) % 0.38/0.60 (step @p141 :rule aci_norm :args ((= (and @t144 @t125) @t133))) % 0.38/0.60 (step @p142 :rule bool-implies-de-morgan :args (@t144 @t124)) % 0.38/0.60 (step @p143 :rule trans :premises (@p142 @p141)) % 0.38/0.60 (step @p144 :rule aci_norm :args ((= (and @t145 @t124) @t136))) % 0.38/0.60 (step @p145 :rule bool-double-not-elim :args (@t124)) % 0.38/0.60 (step @p146 :rule refl :args (@t145)) % 0.38/0.60 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((and @t145 (not @t125)))) % 0.38/0.60 (step @p148 :rule bool-implies-de-morgan :args (@t145 @t125)) % 0.38/0.60 (step @p149 :rule trans :premises (@p148 @p147)) % 0.38/0.60 (step @p150 :rule trans :premises (@p149 @p144)) % 0.38/0.60 (step @p151 :rule aci_norm :args ((= (and @t146 @t122) @t137))) % 0.38/0.60 (step @p152 :rule bool-double-not-elim :args (@t122)) % 0.38/0.60 (step @p153 :rule refl :args (@t146)) % 0.38/0.60 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((and @t146 (not @t123)))) % 0.38/0.60 (step @p155 :rule bool-implies-de-morgan :args (@t146 @t123)) % 0.38/0.60 (step @p156 :rule trans :premises (@p155 @p154)) % 0.38/0.60 (step @p157 :rule trans :premises (@p156 @p151)) % 0.38/0.60 (step @p158 :rule aci_norm :args ((= (and @t147 @t138) @t139))) % 0.38/0.60 (step @p159 :rule bool-implies-de-morgan :args (@t147 @t129)) % 0.38/0.60 (step @p160 :rule trans :premises (@p159 @p158)) % 0.38/0.60 (step @p161 :rule nary_cong :premises (@p160 @p157 @p150 @p143 @p140 @p133) :args (@t160)) % 0.38/0.60 (step @p162 :rule aci_norm :args ((= (or @t159 (or @t157 (or @t155 (or @t153 (or @t151 @t149))))) @t160))) % 0.38/0.60 (step @p163 :rule bool-and-de-morgan :args (@t150 @t148 true)) % 0.38/0.60 (step @p164 :rule refl :args (@t153)) % 0.38/0.60 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t153 (not (and @t150 @t148))))) % 0.38/0.60 (step @p166 :rule bool-and-de-morgan :args (@t152 @t150 (and @t148))) % 0.38/0.60 (step @p167 :rule trans :premises (@p166 @p165)) % 0.38/0.60 (step @p168 :rule refl :args (@t155)) % 0.38/0.60 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or @t155 (not (and @t152 @t150 @t148))))) % 0.38/0.60 (step @p170 :rule bool-and-de-morgan :args (@t154 @t152 (and @t150 @t148))) % 0.38/0.60 (step @p171 :rule trans :premises (@p170 @p169)) % 0.38/0.60 (step @p172 :rule refl :args (@t157)) % 0.38/0.60 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t157 (not (and @t154 @t152 @t150 @t148))))) % 0.38/0.60 (step @p174 :rule bool-and-de-morgan :args (@t156 @t154 (and @t152 @t150 @t148))) % 0.38/0.60 (step @p175 :rule trans :premises (@p174 @p173)) % 0.38/0.60 (step @p176 :rule refl :args (@t159)) % 0.38/0.60 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t159 (not (and @t156 @t154 @t152 @t150 @t148))))) % 0.38/0.60 (step @p178 :rule bool-and-de-morgan :args (@t158 @t156 (and @t154 @t152 @t150 @t148))) % 0.38/0.60 (step @p179 :rule trans :premises (@p178 @p177)) % 0.38/0.60 (step @p180 :rule trans :premises (@p179 @p162)) % 0.38/0.60 (step @p181 :rule trans :premises (@p180 @p161)) % 0.38/0.60 (step @p182 :rule nary_cong :premises (@p181 @p130) :args ((or (not @t161) @t141))) % 0.38/0.60 (step @p183 :rule trans :premises (@p182 @p129)) % 0.38/0.60 (step @p184 :rule bool-impl-elim :args (@t161 @t141)) % 0.38/0.60 (step @p185 :rule trans :premises (@p184 @p183)) % 0.38/0.60 (step @p186 :rule cong :premises (@p185) :args ((forall @t61 (=> @t161 @t141)))) % 0.38/0.60 (step @p187 :rule trans :premises (@p186 @p128)) % 0.38/0.60 (step @p188 :rule eq-symm :args (@t5 @t3)) % 0.38/0.60 (step @p189 :rule cong :premises (@p188) :args (@t7)) % 0.38/0.60 (step @p190 :rule eq-symm :args (@t11 @t9)) % 0.38/0.60 (step @p191 :rule cong :premises (@p190) :args (@t13)) % 0.38/0.60 (step @p192 :rule eq-symm :args (@t17 @t15)) % 0.38/0.60 (step @p193 :rule cong :premises (@p192) :args (@t19)) % 0.38/0.60 (step @p194 :rule eq-symm :args (@t23 @t21)) % 0.38/0.60 (step @p195 :rule cong :premises (@p194) :args (@t25)) % 0.38/0.60 (step @p196 :rule eq-symm :args (@t29 @t27)) % 0.38/0.60 (step @p197 :rule cong :premises (@p196) :args (@t31)) % 0.38/0.60 (step @p198 :rule refl :args (@t37)) % 0.38/0.60 (step @p199 :rule nary_cong :premises (@p198 @p197 @p195 @p193 @p191 @p189) :args (@t38)) % 0.38/0.60 (step @p200 :rule eq-symm :args (@t17 @t9)) % 0.38/0.60 (step @p201 :rule eq-symm :args (@t11 @t3)) % 0.38/0.60 (step @p202 :rule cong :premises (@p201) :args (@t41)) % 0.38/0.60 (step @p203 :rule eq-symm :args (@t27 @t23)) % 0.38/0.60 (step @p204 :rule nary_cong :premises (@p196 @p203 @p194 @p202) :args (@t42)) % 0.38/0.60 (step @p205 :rule cong :premises (@p204 @p200) :args (@t43)) % 0.38/0.60 (step @p206 :rule eq-symm :args (@t35 @t27)) % 0.38/0.60 (step @p207 :rule cong :premises (@p206) :args (@t44)) % 0.38/0.60 (step @p208 :rule eq-symm :args (@t23 @t15)) % 0.38/0.60 (step @p209 :rule nary_cong :premises (@p190 @p188 @p208) :args (@t46)) % 0.38/0.60 (step @p210 :rule cong :premises (@p209 @p207) :args (@t47)) % 0.38/0.60 (step @p211 :rule eq-symm :args (@t29 @t21)) % 0.38/0.60 (step @p212 :rule cong :premises (@p211) :args (@t49)) % 0.38/0.60 (step @p213 :rule refl :args (@t36)) % 0.38/0.60 (step @p214 :rule nary_cong :premises (@p213 @p192 @p212) :args (@t50)) % 0.38/0.60 (step @p215 :rule cong :premises (@p214 @p201) :args (@t51)) % 0.38/0.60 (step @p216 :rule eq-symm :args (@t21 @t17)) % 0.38/0.60 (step @p217 :rule nary_cong :premises (@p194 @p216 @p192 @p207) :args (@t52)) % 0.38/0.60 (step @p218 :rule cong :premises (@p217 @p202) :args (@t53)) % 0.38/0.60 (step @p219 :rule cong :premises (@p200) :args (@t54)) % 0.38/0.60 (step @p220 :rule nary_cong :premises (@p213 @p188 @p211) :args (@t55)) % 0.38/0.60 (step @p221 :rule cong :premises (@p220 @p219) :args (@t56)) % 0.38/0.60 (step @p222 :rule nary_cong :premises (@p213 @p196 @p201) :args (@t57)) % 0.38/0.60 (step @p223 :rule cong :premises (@p222 @p208) :args (@t58)) % 0.38/0.60 (step @p224 :rule nary_cong :premises (@p223 @p221 @p218 @p215 @p210 @p205) :args (@t59)) % 0.38/0.60 (step @p225 :rule cong :premises (@p224 @p199) :args (@t60)) % 0.38/0.60 (step @p226 :rule cong :premises (@p225) :args (@t62)) % 0.38/0.60 (step @p227 :rule trans :premises (@p226 @p187)) % 0.38/0.60 (step @p228 :rule cong :premises (@p227) :args (@t64)) % 0.38/0.60 (step @p229 :rule trans :premises (@p228 @p4)) % 0.38/0.60 (step @p230 :rule cong :premises (@p229) :args (@t65)) % 0.38/0.60 (step @p231 :rule trans :premises (@p230 @p3)) % 0.38/0.60 (step @p232 :rule eq_resolve :premises (@p1 @p231)) % 0.38/0.60 (step @p233 :rule bool-impl-false1 :args (@t97)) % 0.38/0.60 (step @p234 :rule evaluate :args ((not true))) % 0.38/0.60 (step @p235 :rule quant-unused-vars :args ((= (forall @t61 true) true))) % 0.38/0.60 (step @p236 :rule evaluate :args ((or false true false false true false false false false false false false))) % 0.38/0.60 (step @p237 :rule eq-refl :args (@t163)) % 0.38/0.60 (step @p238 :rule cong :premises (@p237) :args (@t165)) % 0.38/0.60 (step @p239 :rule trans :premises (@p238 @p234)) % 0.38/0.60 (step @p240 :rule evaluate :args ((and true true true false false))) % 0.38/0.60 (step @p241 :rule nary_cong :premises (@p237 @p237 @p237 @p239 @p239) :args (@t166)) % 0.38/0.60 (step @p242 :rule trans :premises (@p241 @p240)) % 0.38/0.60 (step @p243 :rule aci_norm :args ((= @t167 @t164))) % 0.38/0.60 (step @p244 :rule trans :premises (@p243 @p237)) % 0.38/0.60 (step @p245 :rule evaluate :args ((and true true false false))) % 0.38/0.60 (step @p246 :rule nary_cong :premises (@p237 @p237 @p239 @p239) :args (@t168)) % 0.38/0.60 (step @p247 :rule trans :premises (@p246 @p245)) % 0.38/0.60 (step @p248 :rule evaluate :args ((and true true true false true))) % 0.38/0.60 (step @p249 :rule nary_cong :premises (@p237 @p237 @p237 @p239 @p237) :args (@t169)) % 0.38/0.61 (step @p250 :rule trans :premises (@p249 @p248)) % 0.38/0.61 (step @p251 :rule evaluate :args ((and true true true false))) % 0.38/0.61 (step @p252 :rule nary_cong :premises (@p237 @p237 @p237 @p239) :args (@t170)) % 0.38/0.61 (step @p253 :rule trans :premises (@p252 @p251)) % 0.38/0.61 (step @p254 :rule nary_cong :premises (@p253 @p244 @p250 @p247 @p244 @p242 @p239 @p239 @p239 @p239 @p239 @p239) :args (@t171)) % 0.38/0.61 (step @p255 :rule trans :premises (@p254 @p236)) % 0.38/0.61 (step @p256 :rule cong :premises (@p255) :args (@t172)) % 0.38/0.61 (step @p257 :rule trans :premises (@p256 @p235)) % 0.38/0.61 (step @p258 :rule cong :premises (@p257) :args (@t173)) % 0.38/0.61 (step @p259 :rule trans :premises (@p258 @p234)) % 0.38/0.61 (step @p260 :rule refl :args (@t97)) % 0.38/0.61 (step @p261 :rule cong :premises (@p260 @p259) :args ((=> @t97 @t173))) % 0.38/0.61 (step @p262 :rule trans :premises (@p261 @p233)) % 0.38/0.61 (assume-push @p269 @t97) % 0.38/0.61 (step @p264 :rule instantiate :premises (@p232) :args ((@list @t162 @t162 @t162 @t162 @t162 @t162 @t162 @t162 @t162 @t162 @t162 @t162))) % 0.38/0.61 (step-pop @p270 :rule scope :premises (@p264)) % 0.38/0.61 (step @p265 :rule process_scope :premises (@p270) :args (@t173)) % 0.38/0.61 (step @p267 :rule eq_resolve :premises (@p265 @p262)) % 0.38/0.61 (step @p268 false :rule chain_m_resolution :premises (@p267 @p232) :args (false (@list false) (@list @t97))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------