%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN067+1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:42:52 AM UTC 2026 % Result : Theorem 15.95s 16.18s % Output : Proof 15.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.13 % Problem : NUN067+1 : TPTP v9.2.1. Released v7.3.0. % 0.10/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 12:37:31 EDT 2026 % 0.17/0.36 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.95/16.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.95/16.18 --- Run --no-e-matching --full-saturate-quant at 6... % 15.95/16.18 % SZS status Theorem % 15.95/16.18 % SZS output start Proof % 15.95/16.18 ( % 15.95/16.18 (declare-sort $$unsorted 0) % 15.95/16.18 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.r1 (-> $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.id (-> $$unsorted $$unsorted Bool)) % 15.95/16.18 (define @t1 () (@var "Y24" $$unsorted)) % 15.95/16.18 (define @t2 () (@var "X19" $$unsorted)) % 15.95/16.18 (define @t3 () (tptp.id @t2 @t1)) % 15.95/16.18 (define @t4 () (tptp.r1 @t2)) % 15.95/16.18 (define @t5 () (@var "Y21" $$unsorted)) % 15.95/16.18 (define @t6 () (@var "X12" $$unsorted)) % 15.95/16.18 (define @t7 () (tptp.id @t6 @t5)) % 15.95/16.18 (define @t8 () (@var "X11" $$unsorted)) % 15.95/16.18 (define @t9 () (tptp.r2 @t8 @t6)) % 15.95/16.18 (define @t10 () (@var "Y22" $$unsorted)) % 15.95/16.18 (define @t11 () (@var "X15" $$unsorted)) % 15.95/16.18 (define @t12 () (tptp.id @t11 @t10)) % 15.95/16.18 (define @t13 () (@var "X14" $$unsorted)) % 15.95/16.18 (define @t14 () (@var "X13" $$unsorted)) % 15.95/16.18 (define @t15 () (tptp.r3 @t14 @t13 @t11)) % 15.95/16.18 (define @t16 () (@var "Y23" $$unsorted)) % 15.95/16.18 (define @t17 () (@var "X18" $$unsorted)) % 15.95/16.18 (define @t18 () (tptp.id @t17 @t16)) % 15.95/16.18 (define @t19 () (@var "X17" $$unsorted)) % 15.95/16.18 (define @t20 () (@var "X16" $$unsorted)) % 15.95/16.18 (define @t21 () (tptp.r4 @t20 @t19 @t17)) % 15.95/16.18 (define @t22 () (@var "X20" $$unsorted)) % 15.95/16.18 (define @t23 () (@var "X21" $$unsorted)) % 15.95/16.18 (define @t24 () (@var "X22" $$unsorted)) % 15.95/16.18 (define @t25 () (@var "X25" $$unsorted)) % 15.95/16.18 (define @t26 () (@var "X24" $$unsorted)) % 15.95/16.18 (define @t27 () (@var "X23" $$unsorted)) % 15.95/16.18 (define @t28 () (@var "X27" $$unsorted)) % 15.95/16.18 (define @t29 () (tptp.r1 @t28)) % 15.95/16.18 (define @t30 () (@var "X26" $$unsorted)) % 15.95/16.18 (define @t31 () (tptp.r1 @t30)) % 15.95/16.18 (define @t32 () (@var "X31" $$unsorted)) % 15.95/16.18 (define @t33 () (@var "X30" $$unsorted)) % 15.95/16.18 (define @t34 () (tptp.r2 @t33 @t32)) % 15.95/16.18 (define @t35 () (@var "X29" $$unsorted)) % 15.95/16.18 (define @t36 () (@var "X28" $$unsorted)) % 15.95/16.18 (define @t37 () (tptp.r2 @t36 @t35)) % 15.95/16.18 (define @t38 () (@var "X37" $$unsorted)) % 15.95/16.18 (define @t39 () (@var "X36" $$unsorted)) % 15.95/16.18 (define @t40 () (@var "X35" $$unsorted)) % 15.95/16.18 (define @t41 () (tptp.r3 @t40 @t39 @t38)) % 15.95/16.18 (define @t42 () (@var "X34" $$unsorted)) % 15.95/16.18 (define @t43 () (@var "X33" $$unsorted)) % 15.95/16.18 (define @t44 () (@var "X32" $$unsorted)) % 15.95/16.18 (define @t45 () (tptp.r3 @t44 @t43 @t42)) % 15.95/16.18 (define @t46 () (@var "X43" $$unsorted)) % 15.95/16.18 (define @t47 () (@var "X42" $$unsorted)) % 15.95/16.18 (define @t48 () (@var "X41" $$unsorted)) % 15.95/16.18 (define @t49 () (tptp.r4 @t48 @t47 @t46)) % 15.95/16.18 (define @t50 () (@var "X40" $$unsorted)) % 15.95/16.18 (define @t51 () (@var "X39" $$unsorted)) % 15.95/16.18 (define @t52 () (@var "X38" $$unsorted)) % 15.95/16.18 (define @t53 () (tptp.r4 @t52 @t51 @t50)) % 15.95/16.18 (define @t54 () (@var "Y7" $$unsorted)) % 15.95/16.18 (define @t55 () (@var "X8" $$unsorted)) % 15.95/16.18 (define @t56 () (@var "X1" $$unsorted)) % 15.95/16.18 (define @t57 () (tptp.r3 @t56 @t55 @t54)) % 15.95/16.18 (define @t58 () (@var "Y4" $$unsorted)) % 15.95/16.18 (define @t59 () (tptp.r2 @t54 @t58)) % 15.95/16.18 (define @t60 () (and @t59 @t57)) % 15.95/16.18 (define @t61 () (@list @t54)) % 15.95/16.18 (define @t62 () (exists @t61 @t60)) % 15.95/16.18 (define @t63 () (@var "Y5" $$unsorted)) % 15.95/16.18 (define @t64 () (@var "Y15" $$unsorted)) % 15.95/16.18 (define @t65 () (tptp.r3 @t56 @t64 @t63)) % 15.95/16.18 (define @t66 () (tptp.r2 @t55 @t64)) % 15.95/16.18 (define @t67 () (and @t66 @t65)) % 15.95/16.18 (define @t68 () (@list @t64)) % 15.95/16.18 (define @t69 () (exists @t68 @t67)) % 15.95/16.18 (define @t70 () (tptp.id @t63 @t58)) % 15.95/16.18 (define @t71 () (and @t70 @t69)) % 15.95/16.18 (define @t72 () (@list @t63)) % 15.95/16.18 (define @t73 () (exists @t72 @t71)) % 15.95/16.18 (define @t74 () (and @t73 @t62)) % 15.95/16.18 (define @t75 () (@list @t58)) % 15.95/16.18 (define @t76 () (exists @t75 @t74)) % 15.95/16.18 (define @t77 () (forall (@list @t56 @t55) @t76)) % 15.95/16.18 (define @t78 () (@var "Y6" $$unsorted)) % 15.95/16.18 (define @t79 () (@var "X9" $$unsorted)) % 15.95/16.18 (define @t80 () (@var "X2" $$unsorted)) % 15.95/16.18 (define @t81 () (@var "Y2" $$unsorted)) % 15.95/16.18 (define @t82 () (@var "Y3" $$unsorted)) % 15.95/16.18 (define @t83 () (@var "Y14" $$unsorted)) % 15.95/16.18 (define @t84 () (@list @t81)) % 15.95/16.18 (define @t85 () (@var "X10" $$unsorted)) % 15.95/16.18 (define @t86 () (@var "X3" $$unsorted)) % 15.95/16.18 (define @t87 () (@var "Y12" $$unsorted)) % 15.95/16.18 (define @t88 () (@var "Y13" $$unsorted)) % 15.95/16.18 (define @t89 () (@var "Y9" $$unsorted)) % 15.95/16.18 (define @t90 () (@var "Y16" $$unsorted)) % 15.95/16.18 (define @t91 () (@var "X4" $$unsorted)) % 15.95/16.18 (define @t92 () (@var "Y18" $$unsorted)) % 15.95/16.18 (define @t93 () (@var "Y8" $$unsorted)) % 15.95/16.18 (define @t94 () (@var "Y17" $$unsorted)) % 15.95/16.18 (define @t95 () (@var "X5" $$unsorted)) % 15.95/16.18 (define @t96 () (@var "Y11" $$unsorted)) % 15.95/16.18 (define @t97 () (@var "Y1" $$unsorted)) % 15.95/16.18 (define @t98 () (@var "X6" $$unsorted)) % 15.95/16.18 (define @t99 () (@var "Y19" $$unsorted)) % 15.95/16.18 (define @t100 () (tptp.r1 @t99)) % 15.95/16.18 (define @t101 () (@list @t99)) % 15.95/16.18 (define @t102 () (@var "Y10" $$unsorted)) % 15.95/16.18 (define @t103 () (@var "X7" $$unsorted)) % 15.95/16.18 (define @t104 () (not (tptp.r2 @t103 @t102))) % 15.95/16.18 (define @t105 () (@var "Y20" $$unsorted)) % 15.95/16.18 (define @t106 () (@list @t103 @t102)) % 15.95/16.18 (define @t107 () (forall @t106 (or (forall (@list @t105) (or (not (tptp.id @t105 @t102)) (not (tptp.r1 @t105)))) @t104))) % 15.95/16.18 (define @t108 () (not (tptp.r1 @t81))) % 15.95/16.18 (define @t109 () (forall @t84 (or (not (tptp.id @t97 @t81)) @t108))) % 15.95/16.18 (define @t110 () (@list @t97)) % 15.95/16.18 (define @t111 () (exists @t110 @t109)) % 15.95/16.18 (define @t112 () (not @t111)) % 15.95/16.18 (define @t113 () (forall @t110 (not @t109))) % 15.95/16.18 (define @t114 () (@var "BOUND_VARIABLE_7791" $$unsorted)) % 15.95/16.18 (define @t115 () (@const 0 $$unsorted)) % 15.95/16.18 (define @t116 () (not (tptp.r2 @t114 @t58))) % 15.95/16.18 (define @t117 () (@var "BOUND_VARIABLE_7780" $$unsorted)) % 15.95/16.18 (define @t118 () (@var "BOUND_VARIABLE_7782" $$unsorted)) % 15.95/16.18 (define @t119 () (not (tptp.id @t117 @t58))) % 15.95/16.18 (define @t120 () (@list @t58 @t117 @t118 @t114)) % 15.95/16.18 (define @t121 () (forall @t120 (or @t119 (not (tptp.r2 @t115 @t118)) (not (tptp.r3 @t115 @t118 @t117)) @t116 (not (tptp.r3 @t115 @t115 @t114))))) % 15.95/16.18 (define @t122 () (@quantifiers_skolemize @t121 0)) % 15.95/16.18 (define @t123 () (@list @t122)) % 15.95/16.18 (define @t124 () (forall @t101 (or (not (tptp.id @t122 @t99)) (not @t100)))) % 15.95/16.18 (define @t125 () (@list true)) % 15.95/16.18 (define @t126 () (@quantifiers_skolemize @t124 0)) % 15.95/16.18 (define @t127 () (tptp.id @t122 @t126)) % 15.95/16.18 (define @t128 () (tptp.r1 @t126)) % 15.95/16.18 (define @t129 () (not @t128)) % 15.95/16.18 (define @t130 () (not @t127)) % 15.95/16.18 (define @t131 () (or @t130 @t129)) % 15.95/16.18 (define @t132 () (@list @t131)) % 15.95/16.18 (define @t133 () (tptp.r1 @t122)) % 15.95/16.18 (define @t134 () (not @t133)) % 15.95/16.18 (define @t135 () (and @t134 @t129)) % 15.95/16.18 (define @t136 () (not @t135)) % 15.95/16.18 (define @t137 () (@var "BOUND_VARIABLE_8002" $$unsorted)) % 15.95/16.18 (define @t138 () (not (tptp.r1 @t137))) % 15.95/16.18 (define @t139 () (not (tptp.id @t137 @t102))) % 15.95/16.18 (define @t140 () (or @t139 @t138)) % 15.95/16.18 (define @t141 () (or @t140 @t104)) % 15.95/16.18 (define @t142 () (forall (@list @t103 @t102 @t137) @t141)) % 15.95/16.18 (define @t143 () (@list @t137)) % 15.95/16.18 (define @t144 () (forall @t143 @t141)) % 15.95/16.18 (define @t145 () (forall @t143 @t140)) % 15.95/16.18 (define @t146 () (or @t145 @t104)) % 15.95/16.18 (define @t147 () (@quantifiers_skolemize @t121 3)) % 15.95/16.18 (define @t148 () (not (tptp.r3 @t56 @t55 @t114))) % 15.95/16.18 (define @t149 () (not (tptp.r3 @t56 @t118 @t117))) % 15.95/16.18 (define @t150 () (not (tptp.r2 @t55 @t118))) % 15.95/16.18 (define @t151 () (or @t116 @t148)) % 15.95/16.18 (define @t152 () (or @t119 @t150 @t149)) % 15.95/16.18 (define @t153 () (or @t152 @t151)) % 15.95/16.18 (define @t154 () (forall @t120 @t153)) % 15.95/16.18 (define @t155 () (forall (@list @t117 @t118 @t114) @t153)) % 15.95/16.18 (define @t156 () (forall (@list @t114) @t151)) % 15.95/16.18 (define @t157 () (forall (@list @t117 @t118) @t152)) % 15.95/16.18 (define @t158 () (@var "BOUND_VARIABLE_7752" $$unsorted)) % 15.95/16.18 (define @t159 () (or @t157 @t156)) % 15.95/16.18 (define @t160 () (forall @t61 (or (not @t59) (not @t57)))) % 15.95/16.18 (define @t161 () (not (tptp.r3 @t56 @t158 @t63))) % 15.95/16.18 (define @t162 () (not (tptp.r2 @t55 @t158))) % 15.95/16.18 (define @t163 () (not @t70)) % 15.95/16.18 (define @t164 () (or @t163 @t162 @t161)) % 15.95/16.18 (define @t165 () (@list @t63 @t158)) % 15.95/16.18 (define @t166 () (forall @t165 @t164)) % 15.95/16.18 (define @t167 () (not @t160)) % 15.95/16.18 (define @t168 () (not @t166)) % 15.95/16.18 (define @t169 () (and @t168 @t167)) % 15.95/16.18 (define @t170 () (forall @t75 (not @t169))) % 15.95/16.18 (define @t171 () (not @t170)) % 15.95/16.18 (define @t172 () (forall @t61 (not @t60))) % 15.95/16.18 (define @t173 () (not @t172)) % 15.95/16.18 (define @t174 () (or @t162 @t161)) % 15.95/16.18 (define @t175 () (or @t163 @t174)) % 15.95/16.18 (define @t176 () (forall @t165 @t175)) % 15.95/16.18 (define @t177 () (@list @t158)) % 15.95/16.18 (define @t178 () (forall @t177 @t175)) % 15.95/16.18 (define @t179 () (forall @t177 @t174)) % 15.95/16.18 (define @t180 () (or @t163 @t179)) % 15.95/16.18 (define @t181 () (forall @t68 (or (not @t66) (not @t65)))) % 15.95/16.18 (define @t182 () (not @t181)) % 15.95/16.18 (define @t183 () (and @t70 @t182)) % 15.95/16.18 (define @t184 () (forall @t72 (not @t183))) % 15.95/16.18 (define @t185 () (not @t184)) % 15.95/16.18 (define @t186 () (forall @t68 (not @t67))) % 15.95/16.18 (define @t187 () (not @t186)) % 15.95/16.18 (define @t188 () (tptp.r2 @t147 @t122)) % 15.95/16.18 (define @t189 () (not @t188)) % 15.95/16.18 (define @t190 () (@quantifiers_skolemize @t121 1)) % 15.95/16.18 (define @t191 () (@quantifiers_skolemize @t121 2)) % 15.95/16.18 (define @t192 () (or (not (tptp.id @t190 @t122)) (not (tptp.r2 @t115 @t191)) (not (tptp.r3 @t115 @t191 @t190)) @t189 (not (tptp.r3 @t115 @t115 @t147)))) % 15.95/16.18 (define @t193 () (tptp.id @t122 @t122)) % 15.95/16.18 (define @t194 () (not @t193)) % 15.95/16.18 (define @t195 () (or @t189 @t194 @t134)) % 15.95/16.18 (define @t196 () (and @t133 @t128)) % 15.95/16.18 (define @t197 () (not @t196)) % 15.95/16.18 (define @t198 () (or @t130 @t135 @t196)) % 15.95/16.18 (assume @p1 (exists (@list @t1) (forall (@list @t2) (or (and @t3 @t4) (and (not @t4) (not @t3)))))) % 15.95/16.18 (assume @p2 (forall (@list @t8) (exists (@list @t5) (forall (@list @t6) (or (and @t7 @t9) (and (not @t9) (not @t7))))))) % 15.95/16.18 (assume @p3 (forall (@list @t14 @t13) (exists (@list @t10) (forall (@list @t11) (or (and @t12 @t15) (and (not @t15) (not @t12))))))) % 15.95/16.18 (assume @p4 (forall (@list @t20 @t19) (exists (@list @t16) (forall (@list @t17) (or (and @t18 @t21) (and (not @t21) (not @t18))))))) % 15.95/16.18 (assume @p5 (forall (@list @t22) (tptp.id @t22 @t22))) % 15.95/16.18 (assume @p6 (forall (@list @t23 @t24) (or (not (tptp.id @t23 @t24)) (tptp.id @t24 @t23)))) % 15.95/16.18 (assume @p7 (forall (@list @t27 @t26 @t25) (or (not (tptp.id @t27 @t26)) (tptp.id @t27 @t25) (not (tptp.id @t26 @t25))))) % 15.95/16.18 (assume @p8 (forall (@list @t30 @t28) (or (not (tptp.id @t30 @t28)) (and (not @t31) (not @t29)) (and @t31 @t29)))) % 15.95/16.18 (assume @p9 (forall (@list @t36 @t35 @t33 @t32) (or (not (tptp.id @t36 @t33)) (not (tptp.id @t35 @t32)) (and (not @t37) (not @t34)) (and @t37 @t34)))) % 15.95/16.18 (assume @p10 (forall (@list @t44 @t43 @t42 @t40 @t39 @t38) (or (not (tptp.id @t44 @t40)) (not (tptp.id @t43 @t39)) (not (tptp.id @t42 @t38)) (and (not @t45) (not @t41)) (and @t45 @t41)))) % 15.95/16.18 (assume @p11 (forall (@list @t52 @t51 @t50 @t48 @t47 @t46) (or (not (tptp.id @t52 @t48)) (not (tptp.id @t51 @t47)) (not (tptp.id @t50 @t46)) (and (not @t53) (not @t49)) (and @t53 @t49)))) % 15.95/16.18 (assume @p12 @t77) % 15.95/16.18 (assume @p13 (forall (@list @t80 @t79) (exists @t84 (and (exists (@list @t82) (and (tptp.id @t82 @t81) (exists (@list @t83) (and (tptp.r2 @t79 @t83) (tptp.r4 @t80 @t83 @t82))))) (exists (@list @t78) (and (tptp.r3 @t78 @t80 @t81) (tptp.r4 @t80 @t79 @t78))))))) % 15.95/16.18 (assume @p14 (forall (@list @t86 @t85) (or (forall (@list @t87) (or (forall (@list @t88) (or (not (tptp.id @t88 @t87)) (not (tptp.r2 @t86 @t88)))) (not (tptp.r2 @t85 @t87)))) (tptp.id @t86 @t85)))) % 15.95/16.18 (assume @p15 (forall (@list @t91) (exists (@list @t89) (and (tptp.id @t89 @t91) (exists (@list @t90) (and (tptp.r1 @t90) (tptp.r3 @t91 @t90 @t89))))))) % 15.95/16.18 (assume @p16 (forall (@list @t95) (exists (@list @t93) (and (exists (@list @t94) (and (tptp.r1 @t94) (tptp.r4 @t95 @t94 @t93))) (exists (@list @t92) (and (tptp.id @t93 @t92) (tptp.r1 @t92))))))) % 15.95/16.18 (assume @p17 (forall (@list @t98) (or (exists @t101 (and (tptp.id @t98 @t99) @t100)) (exists (@list @t97 @t96) (and (tptp.id @t98 @t96) (tptp.r2 @t97 @t96)))))) % 15.95/16.18 (assume @p18 @t107) % 15.95/16.18 (assume @p19 @t112) % 15.95/16.18 (assume @p20 true) % 15.95/16.18 (step @p21 :rule bool-double-not-elim :args (@t113)) % 15.95/16.18 (step @p22 :rule exists-elim :args ((= @t111 (not @t113)))) % 15.95/16.18 (step @p23 :rule cong :premises (@p22) :args (@t112)) % 15.95/16.18 (step @p24 :rule trans :premises (@p23 @p21)) % 15.95/16.18 (step @p25 :rule eq_resolve :premises (@p19 @p24)) % 15.95/16.18 (step @p26 :rule instantiate :premises (@p25) :args (@t123)) % 15.95/16.18 (step @p27 :rule alpha_equiv :args (@t124 (@list @t99) (@list @t81))) % 15.95/16.18 (step @p28 :rule equiv_elim1 :premises (@p27)) % 15.95/16.18 (step @p29 :rule chain_m_resolution :premises (@p28 @p26) :args ((not @t124) @t125 (@list (forall @t84 (or (not (tptp.id @t122 @t81)) @t108))))) % 15.95/16.18 (step @p30 :rule skolemize :premises (@p29)) % 15.95/16.18 (step @p31 :rule bool-double-not-elim :args (@t127)) % 15.95/16.18 (step @p32 :rule refl :args (@t131)) % 15.95/16.18 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t131 (not @t130)))) % 15.95/16.18 (step @p34 :rule cnf_or_neg :args (@t131 0)) % 15.95/16.18 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 15.95/16.18 (step @p36 :rule reordering :premises (@p35) :args ((or @t127 @t131))) % 15.95/16.18 (step @p37 :rule chain_m_resolution :premises (@p36 @p30) :args (@t127 @t125 @t132)) % 15.95/16.18 (step @p38 :rule instantiate :premises (@p8) :args ((@list @t122 @t126))) % 15.95/16.18 (step @p39 :rule bool-double-not-elim :args (@t128)) % 15.95/16.18 (step @p40 :rule nary_cong :premises (@p32 @p39) :args ((or @t131 (not @t129)))) % 15.95/16.18 (step @p41 :rule cnf_or_neg :args (@t131 1)) % 15.95/16.18 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 15.95/16.18 (step @p43 :rule reordering :premises (@p42) :args ((or @t128 @t131))) % 15.95/16.18 (step @p44 :rule chain_m_resolution :premises (@p43 @p30) :args (@t128 @t125 @t132)) % 15.95/16.18 (step @p45 :rule cnf_and_pos :args (@t135 1)) % 15.95/16.18 (step @p46 :rule reordering :premises (@p45) :args ((or @t129 @t136))) % 15.95/16.18 (step @p47 :rule chain_m_resolution :premises (@p46 @p44) :args (@t136 (@list false) (@list @t128))) % 15.95/16.18 (step @p48 :rule aci_norm :args ((= @t141 (or @t104 @t139 @t138)))) % 15.95/16.18 (step @p49 :rule cong :premises (@p48) :args (@t142)) % 15.95/16.18 (step @p50 :rule quant-merge-prenex :args ((= (forall @t106 @t144) @t142))) % 15.95/16.18 (step @p51 :rule refl :args (@t104)) % 15.95/16.18 (step @p52 :rule alpha_equiv :args (@t145 (@list @t137) (@list @t105))) % 15.95/16.18 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t146)) % 15.95/16.18 (step @p54 :rule quant-miniscope-or :args ((= @t144 @t146))) % 15.95/16.18 (step @p55 :rule trans :premises (@p54 @p53)) % 15.95/16.18 (step @p56 :rule symm :premises (@p55)) % 15.95/16.18 (step @p57 :rule cong :premises (@p56) :args (@t107)) % 15.95/16.18 (step @p58 :rule trans :premises (@p57 @p50)) % 15.95/16.18 (step @p59 :rule trans :premises (@p58 @p49)) % 15.95/16.18 (step @p60 :rule eq_resolve :premises (@p18 @p59)) % 15.95/16.18 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t147 @t122 @t122))) % 15.95/16.18 (step @p62 :rule instantiate :premises (@p5) :args (@t123)) % 15.95/16.18 (step @p63 :rule aci_norm :args ((= @t153 (or @t119 @t150 @t149 @t116 @t148)))) % 15.95/16.18 (step @p64 :rule cong :premises (@p63) :args (@t154)) % 15.95/16.18 (step @p65 :rule quant-merge-prenex :args ((= (forall @t75 @t155) @t154))) % 15.95/16.18 (step @p66 :rule alpha_equiv :args (@t156 (@list @t114) (@list @t54))) % 15.95/16.18 (step @p67 :rule alpha_equiv :args (@t157 (@list @t117 @t118) (@list @t63 @t158))) % 15.95/16.18 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t159)) % 15.95/16.18 (step @p69 :rule quant-miniscope-or :args ((= @t155 @t159))) % 15.95/16.18 (step @p70 :rule trans :premises (@p69 @p68)) % 15.95/16.18 (step @p71 :rule symm :premises (@p70)) % 15.95/16.18 (step @p72 :rule cong :premises (@p71) :args ((forall @t75 (or @t166 @t160)))) % 15.95/16.18 (step @p73 :rule trans :premises (@p72 @p65)) % 15.95/16.18 (step @p74 :rule trans :premises (@p73 @p64)) % 15.95/16.18 (step @p75 :rule bool-double-not-elim :args (@t160)) % 15.95/16.18 (step @p76 :rule bool-double-not-elim :args (@t166)) % 15.95/16.18 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t168) (not @t167)))) % 15.95/16.18 (step @p78 :rule bool-and-de-morgan :args (@t168 @t167 true)) % 15.95/16.18 (step @p79 :rule trans :premises (@p78 @p77)) % 15.95/16.18 (step @p80 :rule cong :premises (@p79) :args (@t170)) % 15.95/16.18 (step @p81 :rule trans :premises (@p80 @p74)) % 15.95/16.18 (step @p82 :rule cong :premises (@p81) :args (@t171)) % 15.95/16.18 (step @p83 :rule exists-elim :args ((= (exists @t75 @t169) @t171))) % 15.95/16.18 (step @p84 :rule trans :premises (@p83 @p82)) % 15.95/16.18 (step @p85 :rule bool-and-de-morgan :args (@t59 @t57 true)) % 15.95/16.18 (step @p86 :rule cong :premises (@p85) :args (@t172)) % 15.95/16.18 (step @p87 :rule cong :premises (@p86) :args (@t173)) % 15.95/16.18 (step @p88 :rule exists-elim :args ((= @t62 @t173))) % 15.95/16.18 (step @p89 :rule trans :premises (@p88 @p87)) % 15.95/16.18 (step @p90 :rule aci_norm :args ((= @t175 @t164))) % 15.95/16.18 (step @p91 :rule cong :premises (@p90) :args (@t176)) % 15.95/16.18 (step @p92 :rule quant-merge-prenex :args ((= (forall @t72 @t178) @t176))) % 15.95/16.18 (step @p93 :rule alpha_equiv :args (@t179 (@list @t158) (@list @t64))) % 15.95/16.18 (step @p94 :rule refl :args (@t163)) % 15.95/16.18 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t180)) % 15.95/16.18 (step @p96 :rule quant-miniscope-or :args ((= @t178 @t180))) % 15.95/16.18 (step @p97 :rule trans :premises (@p96 @p95)) % 15.95/16.18 (step @p98 :rule symm :premises (@p97)) % 15.95/16.18 (step @p99 :rule cong :premises (@p98) :args ((forall @t72 (or @t163 @t181)))) % 15.95/16.18 (step @p100 :rule trans :premises (@p99 @p92)) % 15.95/16.18 (step @p101 :rule trans :premises (@p100 @p91)) % 15.95/16.18 (step @p102 :rule bool-double-not-elim :args (@t181)) % 15.95/16.18 (step @p103 :rule nary_cong :premises (@p94 @p102) :args ((or @t163 (not @t182)))) % 15.95/16.18 (step @p104 :rule bool-and-de-morgan :args (@t70 @t182 true)) % 15.95/16.18 (step @p105 :rule trans :premises (@p104 @p103)) % 15.95/16.18 (step @p106 :rule cong :premises (@p105) :args (@t184)) % 15.95/16.18 (step @p107 :rule trans :premises (@p106 @p101)) % 15.95/16.18 (step @p108 :rule cong :premises (@p107) :args (@t185)) % 15.95/16.18 (step @p109 :rule exists-elim :args ((= (exists @t72 @t183) @t185))) % 15.95/16.18 (step @p110 :rule trans :premises (@p109 @p108)) % 15.95/16.18 (step @p111 :rule bool-and-de-morgan :args (@t66 @t65 true)) % 15.95/16.18 (step @p112 :rule cong :premises (@p111) :args (@t186)) % 15.95/16.18 (step @p113 :rule cong :premises (@p112) :args (@t187)) % 15.95/16.18 (step @p114 :rule exists-elim :args ((= @t69 @t187))) % 15.95/16.18 (step @p115 :rule trans :premises (@p114 @p113)) % 15.95/16.18 (step @p116 :rule refl :args (@t70)) % 15.95/16.18 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t71)) % 15.95/16.18 (step @p118 :rule cong :premises (@p117) :args (@t73)) % 15.95/16.18 (step @p119 :rule trans :premises (@p118 @p110)) % 15.95/16.18 (step @p120 :rule nary_cong :premises (@p119 @p89) :args (@t74)) % 15.95/16.18 (step @p121 :rule cong :premises (@p120) :args (@t76)) % 15.95/16.18 (step @p122 :rule trans :premises (@p121 @p84)) % 15.95/16.18 (step @p123 :rule cong :premises (@p122) :args (@t77)) % 15.95/16.18 (step @p124 :rule eq_resolve :premises (@p12 @p123)) % 15.95/16.18 (step @p125 :rule instantiate :premises (@p124) :args ((@list @t115 @t115))) % 15.95/16.18 (step @p126 :rule skolemize :premises (@p125)) % 15.95/16.18 (step @p127 :rule bool-double-not-elim :args (@t188)) % 15.95/16.18 (step @p128 :rule refl :args (@t192)) % 15.95/16.18 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t192 (not @t189)))) % 15.95/16.18 (step @p130 :rule cnf_or_neg :args (@t192 3)) % 15.95/16.18 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 15.95/16.18 (step @p132 :rule reordering :premises (@p131) :args ((or @t188 @t192))) % 15.95/16.18 (step @p133 :rule chain_m_resolution :premises (@p132 @p126) :args (@t188 @t125 (@list @t192))) % 15.95/16.18 (step @p134 :rule cnf_or_pos :args (@t195)) % 15.95/16.18 (step @p135 :rule reordering :premises (@p134) :args ((or @t189 @t134 @t194 (not @t195)))) % 15.95/16.18 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p62 @p61) :args (@t134 (@list false false false) (@list @t188 @t193 @t195))) % 15.95/16.18 (step @p137 :rule cnf_and_pos :args (@t196 0)) % 15.95/16.18 (step @p138 :rule reordering :premises (@p137) :args ((or @t133 @t197))) % 15.95/16.18 (step @p139 :rule chain_m_resolution :premises (@p138 @p136) :args (@t197 @t125 (@list @t133))) % 15.95/16.18 (step @p140 :rule cnf_or_pos :args (@t198)) % 15.95/16.18 (step @p141 :rule reordering :premises (@p140) :args ((or @t130 @t135 @t196 (not @t198)))) % 15.95/16.18 (step @p142 false :rule chain_m_resolution :premises (@p141 @p139 @p47 @p38 @p37) :args (false (@list true true false false) (@list @t196 @t135 @t198 @t127))) % 15.95/16.18 ) % 15.95/16.18 % SZS output end Proof % 15.95/16.18 % cvc5 exiting %------------------------------------------------------------------------------