%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN073+2 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:42:54 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN073+2 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 12:43:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "Y24" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "X19" $$unsorted)) % 0.36/0.57 (define @t3 () (= @t2 @t1)) % 0.36/0.57 (define @t4 () (tptp.r1 @t2)) % 0.36/0.57 (define @t5 () (@var "Y21" $$unsorted)) % 0.36/0.57 (define @t6 () (@var "X12" $$unsorted)) % 0.36/0.57 (define @t7 () (= @t6 @t5)) % 0.36/0.57 (define @t8 () (@var "X11" $$unsorted)) % 0.36/0.57 (define @t9 () (tptp.r2 @t8 @t6)) % 0.36/0.57 (define @t10 () (@var "Y22" $$unsorted)) % 0.36/0.57 (define @t11 () (@var "X15" $$unsorted)) % 0.36/0.57 (define @t12 () (= @t11 @t10)) % 0.36/0.57 (define @t13 () (@var "X14" $$unsorted)) % 0.36/0.57 (define @t14 () (@var "X13" $$unsorted)) % 0.36/0.57 (define @t15 () (tptp.r3 @t14 @t13 @t11)) % 0.36/0.57 (define @t16 () (@var "Y23" $$unsorted)) % 0.36/0.57 (define @t17 () (@var "X18" $$unsorted)) % 0.36/0.57 (define @t18 () (= @t17 @t16)) % 0.36/0.57 (define @t19 () (@var "X17" $$unsorted)) % 0.36/0.57 (define @t20 () (@var "X16" $$unsorted)) % 0.36/0.57 (define @t21 () (tptp.r4 @t20 @t19 @t17)) % 0.36/0.57 (define @t22 () (@var "Y7" $$unsorted)) % 0.36/0.57 (define @t23 () (@var "X8" $$unsorted)) % 0.36/0.57 (define @t24 () (@var "X1" $$unsorted)) % 0.36/0.57 (define @t25 () (@var "Y4" $$unsorted)) % 0.36/0.57 (define @t26 () (@var "Y5" $$unsorted)) % 0.36/0.57 (define @t27 () (@var "Y15" $$unsorted)) % 0.36/0.57 (define @t28 () (@list @t26)) % 0.36/0.57 (define @t29 () (@list @t25)) % 0.36/0.57 (define @t30 () (@var "Y6" $$unsorted)) % 0.36/0.57 (define @t31 () (@var "X9" $$unsorted)) % 0.36/0.57 (define @t32 () (@var "X2" $$unsorted)) % 0.36/0.57 (define @t33 () (@var "Y2" $$unsorted)) % 0.36/0.57 (define @t34 () (@var "Y3" $$unsorted)) % 0.36/0.57 (define @t35 () (@var "Y14" $$unsorted)) % 0.36/0.57 (define @t36 () (@list @t34)) % 0.36/0.57 (define @t37 () (@list @t33)) % 0.36/0.57 (define @t38 () (@var "X10" $$unsorted)) % 0.36/0.57 (define @t39 () (@var "X3" $$unsorted)) % 0.36/0.57 (define @t40 () (= @t39 @t38)) % 0.36/0.57 (define @t41 () (@var "Y12" $$unsorted)) % 0.36/0.57 (define @t42 () (not (tptp.r2 @t38 @t41))) % 0.36/0.57 (define @t43 () (@var "Y13" $$unsorted)) % 0.36/0.57 (define @t44 () (not (= @t43 @t41))) % 0.36/0.57 (define @t45 () (not (tptp.r2 @t39 @t43))) % 0.36/0.57 (define @t46 () (or @t45 @t44)) % 0.36/0.57 (define @t47 () (@list @t43)) % 0.36/0.57 (define @t48 () (forall @t47 @t46)) % 0.36/0.57 (define @t49 () (or @t48 @t42)) % 0.36/0.57 (define @t50 () (@list @t41)) % 0.36/0.57 (define @t51 () (forall @t50 @t49)) % 0.36/0.57 (define @t52 () (or @t51 @t40)) % 0.36/0.57 (define @t53 () (@list @t39 @t38)) % 0.36/0.57 (define @t54 () (forall @t53 @t52)) % 0.36/0.57 (define @t55 () (@var "X4" $$unsorted)) % 0.36/0.57 (define @t56 () (@var "Y9" $$unsorted)) % 0.36/0.57 (define @t57 () (@var "Y16" $$unsorted)) % 0.36/0.57 (define @t58 () (@var "Y18" $$unsorted)) % 0.36/0.57 (define @t59 () (@var "Y8" $$unsorted)) % 0.36/0.57 (define @t60 () (@var "Y17" $$unsorted)) % 0.36/0.57 (define @t61 () (@var "X5" $$unsorted)) % 0.36/0.57 (define @t62 () (@var "Y11" $$unsorted)) % 0.36/0.57 (define @t63 () (@var "X6" $$unsorted)) % 0.36/0.57 (define @t64 () (@var "Y1" $$unsorted)) % 0.36/0.57 (define @t65 () (@var "Y19" $$unsorted)) % 0.36/0.57 (define @t66 () (@var "Y10" $$unsorted)) % 0.36/0.57 (define @t67 () (@var "X7" $$unsorted)) % 0.36/0.57 (define @t68 () (not (tptp.r2 @t67 @t66))) % 0.36/0.57 (define @t69 () (@var "Y20" $$unsorted)) % 0.36/0.57 (define @t70 () (not (= @t69 @t66))) % 0.36/0.57 (define @t71 () (not (tptp.r1 @t69))) % 0.36/0.57 (define @t72 () (or @t71 @t70)) % 0.36/0.57 (define @t73 () (@list @t69)) % 0.36/0.57 (define @t74 () (forall @t73 @t72)) % 0.36/0.57 (define @t75 () (or @t74 @t68)) % 0.36/0.57 (define @t76 () (forall (@list @t67 @t66) @t75)) % 0.36/0.57 (define @t77 () (not (tptp.r2 @t34 @t64))) % 0.36/0.57 (define @t78 () (forall @t36 (or (forall @t28 (or (not (tptp.r1 @t26)) (not (tptp.r2 @t26 @t34)))) @t77))) % 0.36/0.57 (define @t79 () (not (= @t33 @t64))) % 0.36/0.57 (define @t80 () (forall @t37 (or (forall @t29 (or (not (tptp.r1 @t25)) (not (tptp.r2 @t25 @t33)))) @t79))) % 0.36/0.57 (define @t81 () (or @t80 @t78)) % 0.36/0.57 (define @t82 () (@list @t64)) % 0.36/0.57 (define @t83 () (forall @t82 @t81)) % 0.36/0.57 (define @t84 () (not @t83)) % 0.36/0.57 (define @t85 () (@var "BOUND_VARIABLE_8181" $$unsorted)) % 0.36/0.57 (define @t86 () (@var "BOUND_VARIABLE_8183" $$unsorted)) % 0.36/0.57 (define @t87 () (not (tptp.r2 @t86 @t85))) % 0.36/0.57 (define @t88 () (not (tptp.r1 @t86))) % 0.36/0.57 (define @t89 () (not (tptp.r2 @t85 @t64))) % 0.36/0.57 (define @t90 () (@var "BOUND_VARIABLE_8174" $$unsorted)) % 0.36/0.57 (define @t91 () (not (tptp.r2 @t90 @t64))) % 0.36/0.57 (define @t92 () (not (tptp.r1 @t90))) % 0.36/0.57 (define @t93 () (or @t92 @t91 @t89 @t88 @t87)) % 0.36/0.57 (define @t94 () (or @t89 @t88 @t87)) % 0.36/0.57 (define @t95 () (or @t92 @t91)) % 0.36/0.57 (define @t96 () (or @t95 @t94)) % 0.36/0.57 (define @t97 () (@list @t64 @t90 @t85 @t86)) % 0.36/0.57 (define @t98 () (forall @t97 @t96)) % 0.36/0.57 (define @t99 () (forall (@list @t90 @t85 @t86) @t96)) % 0.36/0.57 (define @t100 () (forall (@list @t85 @t86) @t94)) % 0.36/0.57 (define @t101 () (@var "BOUND_VARIABLE_8160" $$unsorted)) % 0.36/0.57 (define @t102 () (forall (@list @t90) @t95)) % 0.36/0.57 (define @t103 () (@var "BOUND_VARIABLE_8138" $$unsorted)) % 0.36/0.57 (define @t104 () (@list @t103)) % 0.36/0.57 (define @t105 () (or @t102 @t100)) % 0.36/0.57 (define @t106 () (not (tptp.r2 @t101 @t34))) % 0.36/0.57 (define @t107 () (not (tptp.r1 @t101))) % 0.36/0.57 (define @t108 () (or @t77 @t107 @t106)) % 0.36/0.57 (define @t109 () (@list @t34 @t101)) % 0.36/0.57 (define @t110 () (not (tptp.r2 @t103 @t64))) % 0.36/0.57 (define @t111 () (not (tptp.r1 @t103))) % 0.36/0.57 (define @t112 () (or @t111 @t110)) % 0.36/0.57 (define @t113 () (@list @t103)) % 0.36/0.57 (define @t114 () (or @t107 @t106)) % 0.36/0.57 (define @t115 () (or @t114 @t77)) % 0.36/0.57 (define @t116 () (forall @t109 @t115)) % 0.36/0.57 (define @t117 () (@list @t101)) % 0.36/0.57 (define @t118 () (forall @t117 @t115)) % 0.36/0.57 (define @t119 () (forall @t117 @t114)) % 0.36/0.57 (define @t120 () (or @t119 @t77)) % 0.36/0.57 (define @t121 () (not (= @t64 @t64))) % 0.36/0.57 (define @t122 () (or @t121 @t111 @t110)) % 0.36/0.57 (define @t123 () (not (tptp.r2 @t103 @t33))) % 0.36/0.57 (define @t124 () (or @t79 @t79 @t111 @t123)) % 0.36/0.57 (define @t125 () (or @t79 @t111 @t123)) % 0.36/0.57 (define @t126 () (forall @t37 @t125)) % 0.36/0.57 (define @t127 () (forall @t113 @t126)) % 0.36/0.57 (define @t128 () (forall (@list @t103 @t33) @t125)) % 0.36/0.57 (define @t129 () (@list @t33 @t103)) % 0.36/0.57 (define @t130 () (or @t111 @t123)) % 0.36/0.57 (define @t131 () (or @t130 @t79)) % 0.36/0.57 (define @t132 () (forall @t129 @t131)) % 0.36/0.57 (define @t133 () (forall @t113 @t131)) % 0.36/0.57 (define @t134 () (forall @t113 @t130)) % 0.36/0.57 (define @t135 () (or @t134 @t79)) % 0.36/0.57 (define @t136 () (forall @t97 @t93)) % 0.36/0.57 (define @t137 () (@quantifiers_skolemize @t136 1)) % 0.36/0.57 (define @t138 () (tptp.r1 @t137)) % 0.36/0.57 (define @t139 () (@quantifiers_skolemize @t136 2)) % 0.36/0.57 (define @t140 () (@quantifiers_skolemize @t136 3)) % 0.36/0.57 (define @t141 () (tptp.r2 @t140 @t139)) % 0.36/0.57 (define @t142 () (not @t141)) % 0.36/0.57 (define @t143 () (@quantifiers_skolemize @t136 0)) % 0.36/0.57 (define @t144 () (tptp.r2 @t139 @t143)) % 0.36/0.57 (define @t145 () (not @t144)) % 0.36/0.57 (define @t146 () (tptp.r2 @t137 @t143)) % 0.36/0.57 (define @t147 () (not @t146)) % 0.36/0.57 (define @t148 () (not @t138)) % 0.36/0.57 (define @t149 () (or @t148 @t147 @t145 (not (tptp.r1 @t140)) @t142)) % 0.36/0.57 (define @t150 () (@list true)) % 0.36/0.57 (define @t151 () (@list @t149)) % 0.36/0.57 (define @t152 () (@var "BOUND_VARIABLE_7995" $$unsorted)) % 0.36/0.57 (define @t153 () (not (tptp.r2 @t38 @t152))) % 0.36/0.57 (define @t154 () (not (tptp.r2 @t39 @t152))) % 0.36/0.57 (define @t155 () (or @t154 @t153)) % 0.36/0.57 (define @t156 () (or @t155 @t40)) % 0.36/0.57 (define @t157 () (forall (@list @t39 @t38 @t152) @t156)) % 0.36/0.57 (define @t158 () (@list @t152)) % 0.36/0.57 (define @t159 () (forall @t158 @t156)) % 0.36/0.57 (define @t160 () (forall @t158 @t155)) % 0.36/0.57 (define @t161 () (or @t160 @t40)) % 0.36/0.57 (define @t162 () (not (tptp.r2 @t39 @t41))) % 0.36/0.57 (define @t163 () (not (= @t41 @t41))) % 0.36/0.57 (define @t164 () (or @t162 @t163)) % 0.36/0.57 (define @t165 () (not (= @t41 @t43))) % 0.36/0.57 (define @t166 () (or @t165 @t45 @t165)) % 0.36/0.57 (define @t167 () (or @t45 @t165)) % 0.36/0.57 (define @t168 () (= @t137 @t139)) % 0.36/0.57 (define @t169 () (or @t168 @t147 @t145)) % 0.36/0.57 (define @t170 () (not (tptp.r1 @t66))) % 0.36/0.57 (define @t171 () (not (= @t66 @t66))) % 0.36/0.57 (define @t172 () (or @t170 @t171)) % 0.36/0.57 (define @t173 () (not (= @t66 @t69))) % 0.36/0.57 (define @t174 () (or @t173 @t71 @t173)) % 0.36/0.57 (define @t175 () (or @t71 @t173)) % 0.36/0.57 (define @t176 () (tptp.r1 @t139)) % 0.36/0.57 (define @t177 () (not @t176)) % 0.36/0.57 (define @t178 () (or @t177 @t142)) % 0.36/0.57 (define @t179 () (and @t138 @t168)) % 0.36/0.57 (assume @p1 (exists (@list @t1) (forall (@list @t2) (or (and (not @t4) (not @t3)) (and @t4 @t3))))) % 0.36/0.57 (assume @p2 (forall (@list @t8) (exists (@list @t5) (forall (@list @t6) (or (and (not @t9) (not @t7)) (and @t9 @t7)))))) % 0.36/0.57 (assume @p3 (forall (@list @t14 @t13) (exists (@list @t10) (forall (@list @t11) (or (and (not @t15) (not @t12)) (and @t15 @t12)))))) % 0.36/0.57 (assume @p4 (forall (@list @t20 @t19) (exists (@list @t16) (forall (@list @t17) (or (and (not @t21) (not @t18)) (and @t21 @t18)))))) % 0.36/0.57 (assume @p5 (forall (@list @t24 @t23) (exists @t29 (and (exists @t28 (and (exists (@list @t27) (and (tptp.r2 @t23 @t27) (tptp.r3 @t24 @t27 @t26))) (= @t26 @t25))) (exists (@list @t22) (and (tptp.r2 @t22 @t25) (tptp.r3 @t24 @t23 @t22))))))) % 0.36/0.57 (assume @p6 (forall (@list @t32 @t31) (exists @t37 (and (exists @t36 (and (exists (@list @t35) (and (tptp.r2 @t31 @t35) (tptp.r4 @t32 @t35 @t34))) (= @t34 @t33))) (exists (@list @t30) (and (tptp.r3 @t30 @t32 @t33) (tptp.r4 @t32 @t31 @t30))))))) % 0.36/0.57 (assume @p7 @t54) % 0.36/0.57 (assume @p8 (forall (@list @t55) (exists (@list @t56) (and (exists (@list @t57) (and (tptp.r1 @t57) (tptp.r3 @t55 @t57 @t56))) (= @t56 @t55))))) % 0.36/0.57 (assume @p9 (forall (@list @t61) (exists (@list @t59) (and (exists (@list @t60) (and (tptp.r1 @t60) (tptp.r4 @t61 @t60 @t59))) (exists (@list @t58) (and (tptp.r1 @t58) (= @t59 @t58))))))) % 0.36/0.57 (assume @p10 (forall (@list @t63) (or (exists (@list @t65) (and (tptp.r1 @t65) (= @t63 @t65))) (exists (@list @t64 @t62) (and (tptp.r2 @t64 @t62) (= @t63 @t62)))))) % 0.36/0.57 (assume @p11 @t76) % 0.36/0.57 (assume @p12 @t84) % 0.36/0.57 (assume @p13 true) % 0.36/0.57 (step @p14 :rule aci_norm :args ((= @t96 @t93))) % 0.36/0.57 (step @p15 :rule cong :premises (@p14) :args (@t98)) % 0.36/0.57 (step @p16 :rule quant-merge-prenex :args ((= (forall @t82 @t99) @t98))) % 0.36/0.57 (step @p17 :rule alpha_equiv :args (@t100 (@list @t85 @t86) (@list @t34 @t101))) % 0.36/0.57 (step @p18 :rule alpha_equiv :args (@t102 (@list @t90) @t104)) % 0.36/0.57 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t105)) % 0.36/0.57 (step @p20 :rule quant-miniscope-or :args ((= @t99 @t105))) % 0.36/0.57 (step @p21 :rule trans :premises (@p20 @p19)) % 0.36/0.57 (step @p22 :rule symm :premises (@p21)) % 0.36/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t82 (or (forall @t113 @t112) (forall @t109 @t108))))) % 0.36/0.57 (step @p24 :rule trans :premises (@p23 @p16)) % 0.36/0.57 (step @p25 :rule trans :premises (@p24 @p15)) % 0.36/0.57 (step @p26 :rule aci_norm :args ((= @t115 @t108))) % 0.36/0.57 (step @p27 :rule cong :premises (@p26) :args (@t116)) % 0.36/0.57 (step @p28 :rule quant-merge-prenex :args ((= (forall @t36 @t118) @t116))) % 0.36/0.57 (step @p29 :rule refl :args (@t77)) % 0.36/0.57 (step @p30 :rule alpha_equiv :args (@t119 (@list @t101) (@list @t26))) % 0.36/0.57 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t120)) % 0.36/0.57 (step @p32 :rule quant-miniscope-or :args ((= @t118 @t120))) % 0.36/0.57 (step @p33 :rule trans :premises (@p32 @p31)) % 0.36/0.57 (step @p34 :rule symm :premises (@p33)) % 0.36/0.57 (step @p35 :rule cong :premises (@p34) :args (@t78)) % 0.36/0.57 (step @p36 :rule trans :premises (@p35 @p28)) % 0.36/0.57 (step @p37 :rule trans :premises (@p36 @p27)) % 0.36/0.57 (step @p38 :rule aci_norm :args ((= (or false @t111 @t110) @t112))) % 0.36/0.57 (step @p39 :rule refl :args (@t110)) % 0.36/0.57 (step @p40 :rule refl :args (@t111)) % 0.36/0.57 (step @p41 :rule evaluate :args ((not true))) % 0.36/0.57 (step @p42 :rule eq-refl :args (@t64)) % 0.36/0.57 (step @p43 :rule cong :premises (@p42) :args (@t121)) % 0.36/0.57 (step @p44 :rule trans :premises (@p43 @p41)) % 0.36/0.57 (step @p45 :rule nary_cong :premises (@p44 @p40 @p39) :args (@t122)) % 0.36/0.57 (step @p46 :rule trans :premises (@p45 @p38)) % 0.36/0.57 (step @p47 :rule cong :premises (@p46) :args ((forall @t113 @t122))) % 0.36/0.57 (step @p48 :rule quant-var-elim-eq :args ((= (forall @t37 @t124) @t122))) % 0.36/0.57 (step @p49 :rule aci_norm :args ((= @t125 @t124))) % 0.36/0.57 (step @p50 :rule cong :premises (@p49) :args (@t126)) % 0.36/0.57 (step @p51 :rule trans :premises (@p50 @p48)) % 0.36/0.57 (step @p52 :rule cong :premises (@p51) :args (@t127)) % 0.36/0.57 (step @p53 :rule quant-merge-prenex :args ((= @t127 @t128))) % 0.36/0.57 (step @p54 :rule symm :premises (@p53)) % 0.36/0.57 (step @p55 :rule quant_var_reordering :args ((= (forall @t129 @t125) @t128))) % 0.36/0.57 (step @p56 :rule trans :premises (@p55 @p54 @p52)) % 0.36/0.57 (step @p57 :rule trans :premises (@p56 @p47)) % 0.36/0.57 (step @p58 :rule aci_norm :args ((= @t131 @t125))) % 0.36/0.57 (step @p59 :rule cong :premises (@p58) :args (@t132)) % 0.36/0.57 (step @p60 :rule trans :premises (@p59 @p57)) % 0.36/0.57 (step @p61 :rule quant-merge-prenex :args ((= (forall @t37 @t133) @t132))) % 0.36/0.57 (step @p62 :rule refl :args (@t79)) % 0.36/0.57 (step @p63 :rule alpha_equiv :args (@t134 @t104 (@list @t25))) % 0.36/0.57 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t135)) % 0.36/0.57 (step @p65 :rule quant-miniscope-or :args ((= @t133 @t135))) % 0.36/0.57 (step @p66 :rule trans :premises (@p65 @p64)) % 0.36/0.57 (step @p67 :rule symm :premises (@p66)) % 0.36/0.57 (step @p68 :rule cong :premises (@p67) :args (@t80)) % 0.36/0.57 (step @p69 :rule trans :premises (@p68 @p61)) % 0.36/0.57 (step @p70 :rule trans :premises (@p69 @p60)) % 0.36/0.57 (step @p71 :rule nary_cong :premises (@p70 @p37) :args (@t81)) % 0.36/0.57 (step @p72 :rule cong :premises (@p71) :args (@t83)) % 0.36/0.57 (step @p73 :rule trans :premises (@p72 @p25)) % 0.36/0.57 (step @p74 :rule cong :premises (@p73) :args (@t84)) % 0.36/0.57 (step @p75 :rule eq_resolve :premises (@p12 @p74)) % 0.36/0.57 (step @p76 :rule skolemize :premises (@p75)) % 0.36/0.57 (step @p77 :rule bool-double-not-elim :args (@t138)) % 0.36/0.57 (step @p78 :rule refl :args (@t149)) % 0.36/0.57 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t149 (not @t148)))) % 0.36/0.57 (step @p80 :rule cnf_or_neg :args (@t149 0)) % 0.36/0.57 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.36/0.57 (step @p82 :rule reordering :premises (@p81) :args ((or @t138 @t149))) % 0.36/0.57 (step @p83 :rule chain_m_resolution :premises (@p82 @p76) :args (@t138 @t150 @t151)) % 0.36/0.57 (step @p84 :rule aci_norm :args ((= @t156 (or @t40 @t154 @t153)))) % 0.36/0.57 (step @p85 :rule cong :premises (@p84) :args (@t157)) % 0.36/0.57 (step @p86 :rule quant-merge-prenex :args ((= (forall @t53 @t159) @t157))) % 0.36/0.57 (step @p87 :rule refl :args (@t40)) % 0.36/0.57 (step @p88 :rule alpha_equiv :args (@t160 (@list @t152) (@list @t41))) % 0.36/0.57 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t161)) % 0.36/0.57 (step @p90 :rule quant-miniscope-or :args ((= @t159 @t161))) % 0.36/0.57 (step @p91 :rule trans :premises (@p90 @p89)) % 0.36/0.57 (step @p92 :rule symm :premises (@p91)) % 0.36/0.57 (step @p93 :rule cong :premises (@p92) :args ((forall @t53 (or (forall @t50 (or @t162 @t42)) @t40)))) % 0.36/0.57 (step @p94 :rule trans :premises (@p93 @p86)) % 0.36/0.57 (step @p95 :rule trans :premises (@p94 @p85)) % 0.36/0.57 (step @p96 :rule refl :args (@t40)) % 0.36/0.57 (step @p97 :rule refl :args (@t42)) % 0.36/0.57 (step @p98 :rule aci_norm :args ((= (or @t162 false) @t162))) % 0.36/0.57 (step @p99 :rule eq-refl :args (@t41)) % 0.36/0.57 (step @p100 :rule cong :premises (@p99) :args (@t163)) % 0.36/0.57 (step @p101 :rule trans :premises (@p100 @p41)) % 0.36/0.57 (step @p102 :rule refl :args (@t162)) % 0.36/0.57 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t164)) % 0.36/0.57 (step @p104 :rule trans :premises (@p103 @p98)) % 0.36/0.57 (step @p105 :rule quant-var-elim-eq :args ((= (forall @t47 (or @t44 @t45 @t165)) @t164))) % 0.36/0.57 (step @p106 :rule refl :args (@t165)) % 0.36/0.57 (step @p107 :rule refl :args (@t45)) % 0.36/0.57 (step @p108 :rule eq-symm :args (@t41 @t43)) % 0.36/0.57 (step @p109 :rule cong :premises (@p108) :args (@t165)) % 0.36/0.57 (step @p110 :rule nary_cong :premises (@p109 @p107 @p106) :args (@t166)) % 0.36/0.57 (step @p111 :rule aci_norm :args ((= @t167 @t166))) % 0.36/0.57 (step @p112 :rule trans :premises (@p111 @p110)) % 0.36/0.57 (step @p113 :rule cong :premises (@p112) :args ((forall @t47 @t167))) % 0.36/0.57 (step @p114 :rule trans :premises (@p113 @p105)) % 0.36/0.57 (step @p115 :rule trans :premises (@p114 @p104)) % 0.36/0.57 (step @p116 :rule eq-symm :args (@t43 @t41)) % 0.36/0.57 (step @p117 :rule cong :premises (@p116) :args (@t44)) % 0.36/0.57 (step @p118 :rule refl :args (@t45)) % 0.36/0.57 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t46)) % 0.36/0.57 (step @p120 :rule cong :premises (@p119) :args (@t48)) % 0.36/0.57 (step @p121 :rule trans :premises (@p120 @p115)) % 0.36/0.57 (step @p122 :rule nary_cong :premises (@p121 @p97) :args (@t49)) % 0.36/0.57 (step @p123 :rule cong :premises (@p122) :args (@t51)) % 0.36/0.57 (step @p124 :rule nary_cong :premises (@p123 @p96) :args (@t52)) % 0.36/0.57 (step @p125 :rule cong :premises (@p124) :args (@t54)) % 0.36/0.57 (step @p126 :rule trans :premises (@p125 @p95)) % 0.36/0.57 (step @p127 :rule eq_resolve :premises (@p7 @p126)) % 0.36/0.57 (step @p128 :rule instantiate :premises (@p127) :args ((@list @t137 @t139 @t143))) % 0.36/0.57 (step @p129 :rule bool-double-not-elim :args (@t144)) % 0.36/0.57 (step @p130 :rule nary_cong :premises (@p78 @p129) :args ((or @t149 (not @t145)))) % 0.36/0.57 (step @p131 :rule cnf_or_neg :args (@t149 2)) % 0.36/0.57 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 0.36/0.57 (step @p133 :rule reordering :premises (@p132) :args ((or @t144 @t149))) % 0.36/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p76) :args (@t144 @t150 @t151)) % 0.36/0.57 (step @p135 :rule bool-double-not-elim :args (@t146)) % 0.36/0.57 (step @p136 :rule nary_cong :premises (@p78 @p135) :args ((or @t149 (not @t147)))) % 0.36/0.57 (step @p137 :rule cnf_or_neg :args (@t149 1)) % 0.36/0.57 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.36/0.57 (step @p139 :rule reordering :premises (@p138) :args ((or @t146 @t149))) % 0.36/0.57 (step @p140 :rule chain_m_resolution :premises (@p139 @p76) :args (@t146 @t150 @t151)) % 0.36/0.57 (step @p141 :rule cnf_or_pos :args (@t169)) % 0.36/0.57 (step @p142 :rule reordering :premises (@p141) :args ((or @t147 @t145 @t168 (not @t169)))) % 0.36/0.57 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p134 @p128) :args (@t168 (@list false false false) (@list @t146 @t144 @t169))) % 0.36/0.57 (step @p144 :rule refl :args (@t68)) % 0.36/0.57 (step @p145 :rule aci_norm :args ((= (or @t170 false) @t170))) % 0.36/0.57 (step @p146 :rule eq-refl :args (@t66)) % 0.36/0.57 (step @p147 :rule cong :premises (@p146) :args (@t171)) % 0.36/0.57 (step @p148 :rule trans :premises (@p147 @p41)) % 0.36/0.57 (step @p149 :rule refl :args (@t170)) % 0.36/0.57 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t172)) % 0.36/0.57 (step @p151 :rule trans :premises (@p150 @p145)) % 0.36/0.57 (step @p152 :rule quant-var-elim-eq :args ((= (forall @t73 (or @t70 @t71 @t173)) @t172))) % 0.36/0.57 (step @p153 :rule refl :args (@t173)) % 0.36/0.57 (step @p154 :rule refl :args (@t71)) % 0.36/0.57 (step @p155 :rule eq-symm :args (@t66 @t69)) % 0.36/0.57 (step @p156 :rule cong :premises (@p155) :args (@t173)) % 0.36/0.57 (step @p157 :rule nary_cong :premises (@p156 @p154 @p153) :args (@t174)) % 0.36/0.57 (step @p158 :rule aci_norm :args ((= @t175 @t174))) % 0.36/0.57 (step @p159 :rule trans :premises (@p158 @p157)) % 0.36/0.57 (step @p160 :rule cong :premises (@p159) :args ((forall @t73 @t175))) % 0.36/0.57 (step @p161 :rule trans :premises (@p160 @p152)) % 0.36/0.57 (step @p162 :rule trans :premises (@p161 @p151)) % 0.36/0.57 (step @p163 :rule eq-symm :args (@t69 @t66)) % 0.36/0.57 (step @p164 :rule cong :premises (@p163) :args (@t70)) % 0.36/0.57 (step @p165 :rule refl :args (@t71)) % 0.36/0.57 (step @p166 :rule nary_cong :premises (@p165 @p164) :args (@t72)) % 0.36/0.57 (step @p167 :rule cong :premises (@p166) :args (@t74)) % 0.36/0.57 (step @p168 :rule trans :premises (@p167 @p162)) % 0.36/0.57 (step @p169 :rule nary_cong :premises (@p168 @p144) :args (@t75)) % 0.36/0.57 (step @p170 :rule cong :premises (@p169) :args (@t76)) % 0.36/0.57 (step @p171 :rule eq_resolve :premises (@p11 @p170)) % 0.36/0.57 (step @p172 :rule instantiate :premises (@p171) :args ((@list @t140 @t139))) % 0.36/0.57 (step @p173 :rule bool-double-not-elim :args (@t141)) % 0.36/0.57 (step @p174 :rule nary_cong :premises (@p78 @p173) :args ((or @t149 (not @t142)))) % 0.36/0.57 (step @p175 :rule cnf_or_neg :args (@t149 4)) % 0.36/0.57 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.36/0.57 (step @p177 :rule reordering :premises (@p176) :args ((or @t141 @t149))) % 0.36/0.57 (step @p178 :rule chain_m_resolution :premises (@p177 @p76) :args (@t141 @t150 @t151)) % 0.36/0.57 (step @p179 :rule cnf_or_pos :args (@t178)) % 0.36/0.57 (step @p180 :rule reordering :premises (@p179) :args ((or @t142 @t177 (not @t178)))) % 0.36/0.57 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p172) :args (@t177 (@list false false) (@list @t141 @t178))) % 0.36/0.57 (assume-push @p197 @t138) % 0.36/0.57 (assume-push @p198 @t168) % 0.36/0.57 (step @p184 :rule true_intro :premises (@p83)) % 0.36/0.57 (step @p185 :rule symm :premises (@p143)) % 0.36/0.57 (step @p186 :rule cong :premises (@p185) :args (@t176)) % 0.36/0.57 (step @p187 :rule trans :premises (@p186 @p184)) % 0.36/0.57 (step @p188 :rule true_elim :premises (@p187)) % 0.36/0.57 (step-pop @p199 :rule scope :premises (@p188)) % 0.36/0.57 (step-pop @p200 :rule scope :premises (@p199)) % 0.36/0.57 (step @p189 :rule process_scope :premises (@p200) :args (@t176)) % 0.36/0.57 (step @p192 :rule implies_elim :premises (@p189)) % 0.36/0.57 (step @p193 :rule cnf_and_neg :args (@t179)) % 0.36/0.57 (step @p194 :rule resolution :premises (@p193 @p192) :args (true @t179)) % 0.36/0.57 (step @p195 :rule reordering :premises (@p194) :args ((or @t148 @t176 (not @t168)))) % 0.36/0.57 (step @p196 false :rule chain_m_resolution :premises (@p195 @p181 @p143 @p83) :args (false (@list true false false) (@list @t176 @t168 @t138))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------