%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO008-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:09:01 AM UTC 2026 % Result : Unsatisfiable 19.42s 19.65s % Output : Proof 19.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO008-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n007.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:34:26 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.51/15.77 --- Run --no-e-matching --full-saturate-quant at 6... % 19.42/19.65 % SZS status Unsatisfiable % 19.42/19.65 % SZS output start Proof % 19.42/19.65 ( % 19.42/19.65 (declare-sort $$unsorted 0) % 19.42/19.65 (declare-const tptp.a $$unsorted) % 19.42/19.65 (declare-const tptp.b $$unsorted) % 19.42/19.65 (declare-const tptp.c $$unsorted) % 19.42/19.65 (declare-const tptp.additive_identity $$unsorted) % 19.42/19.65 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 19.42/19.65 (declare-const tptp.multiplicative_identity $$unsorted) % 19.42/19.65 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 19.42/19.65 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 19.42/19.65 (define @t1 () (@var "X" $$unsorted)) % 19.42/19.65 (define @t2 () (@var "Y" $$unsorted)) % 19.42/19.65 (define @t3 () (tptp.add @t1 @t2)) % 19.42/19.65 (define @t4 () (@list @t1 @t2)) % 19.42/19.65 (define @t5 () (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 19.42/19.65 (define @t6 () (tptp.multiply @t1 @t2)) % 19.42/19.65 (define @t7 () (forall @t4 (= @t6 (tptp.multiply @t2 @t1)))) % 19.42/19.65 (define @t8 () (@var "Z" $$unsorted)) % 19.42/19.65 (define @t9 () (tptp.add @t2 @t8)) % 19.42/19.65 (define @t10 () (tptp.add @t1 @t8)) % 19.42/19.65 (define @t11 () (@list @t1 @t2 @t8)) % 19.42/19.65 (define @t12 () (forall @t11 (= (tptp.add @t6 @t8) (tptp.multiply @t10 @t9)))) % 19.42/19.65 (define @t13 () (tptp.multiply @t2 @t8)) % 19.42/19.65 (define @t14 () (forall @t11 (= (tptp.add @t1 @t13) (tptp.multiply @t3 @t10)))) % 19.42/19.65 (define @t15 () (tptp.multiply @t1 @t8)) % 19.42/19.65 (define @t16 () (forall @t11 (= (tptp.multiply @t1 @t9) (tptp.add @t6 @t15)))) % 19.42/19.65 (define @t17 () (tptp.inverse @t1)) % 19.42/19.65 (define @t18 () (@list @t1)) % 19.42/19.65 (define @t19 () (tptp.add @t17 @t1)) % 19.42/19.65 (define @t20 () (forall @t18 (= @t19 tptp.multiplicative_identity))) % 19.42/19.65 (define @t21 () (tptp.multiply @t1 @t17)) % 19.42/19.65 (define @t22 () (forall @t18 (= @t21 tptp.additive_identity))) % 19.42/19.65 (define @t23 () (tptp.multiply @t17 @t1)) % 19.42/19.65 (define @t24 () (forall @t18 (= @t23 tptp.additive_identity))) % 19.42/19.65 (define @t25 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 19.42/19.65 (define @t26 () (forall @t18 (= @t25 @t1))) % 19.42/19.65 (define @t27 () (tptp.add @t1 tptp.additive_identity)) % 19.42/19.65 (define @t28 () (forall @t18 (= @t27 @t1))) % 19.42/19.65 (define @t29 () (tptp.add tptp.additive_identity @t1)) % 19.42/19.65 (define @t30 () (forall @t18 (= @t29 @t1))) % 19.42/19.65 (define @t31 () (tptp.add tptp.a tptp.b)) % 19.42/19.65 (define @t32 () (tptp.add @t31 tptp.c)) % 19.42/19.65 (define @t33 () (tptp.add tptp.b tptp.c)) % 19.42/19.65 (define @t34 () (tptp.add tptp.a @t33)) % 19.42/19.65 (define @t35 () (= @t34 @t32)) % 19.42/19.65 (define @t36 () (@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 19.42/19.65 (define @t37 () (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity)) % 19.42/19.65 (define @t38 () (tptp.add tptp.multiplicative_identity @t37)) % 19.42/19.65 (define @t39 () (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity)) % 19.42/19.65 (define @t40 () (tptp.multiply @t39 @t39)) % 19.42/19.65 (define @t41 () (= @t38 @t40)) % 19.42/19.65 (define @t42 () (= @t40 @t38)) % 19.42/19.65 (define @t43 () (@list false)) % 19.42/19.65 (define @t44 () (@list tptp.multiplicative_identity)) % 19.42/19.65 (define @t45 () (tptp.inverse tptp.multiplicative_identity)) % 19.42/19.65 (define @t46 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 19.42/19.65 (define @t47 () (tptp.add @t46 tptp.additive_identity)) % 19.42/19.65 (define @t48 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 19.42/19.65 (define @t49 () (tptp.multiply @t48 @t48)) % 19.42/19.65 (define @t50 () (= @t47 @t49)) % 19.42/19.65 (define @t51 () (@list tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 19.42/19.65 (define @t52 () (= @t49 @t47)) % 19.42/19.65 (define @t53 () (@list tptp.additive_identity tptp.a)) % 19.42/19.65 (define @t54 () (tptp.multiply tptp.additive_identity @t48)) % 19.42/19.65 (define @t55 () (tptp.add @t46 @t46)) % 19.42/19.65 (define @t56 () (= @t54 @t55)) % 19.42/19.65 (define @t57 () (= @t55 @t54)) % 19.42/19.65 (define @t58 () (@list tptp.a)) % 19.42/19.65 (define @t59 () (@list tptp.b)) % 19.42/19.65 (define @t60 () (@list tptp.c)) % 19.42/19.65 (define @t61 () (tptp.inverse tptp.a)) % 19.42/19.65 (define @t62 () (tptp.inverse tptp.b)) % 19.42/19.65 (define @t63 () (tptp.inverse tptp.c)) % 19.42/19.65 (define @t64 () (tptp.add tptp.c @t31)) % 19.42/19.65 (define @t65 () (= @t64 @t32)) % 19.42/19.65 (define @t66 () (@list tptp.c @t31)) % 19.42/19.65 (define @t67 () (= @t32 @t64)) % 19.42/19.65 (define @t68 () (tptp.multiply @t34 @t31)) % 19.42/19.65 (define @t69 () (tptp.multiply @t31 @t34)) % 19.42/19.65 (define @t70 () (= @t68 @t69)) % 19.42/19.65 (define @t71 () (@list @t34 @t31)) % 19.42/19.65 (define @t72 () (= @t69 @t68)) % 19.42/19.65 (define @t73 () (tptp.add tptp.additive_identity tptp.b)) % 19.42/19.65 (define @t74 () (tptp.add tptp.additive_identity tptp.multiplicative_identity)) % 19.42/19.65 (define @t75 () (tptp.add tptp.multiplicative_identity tptp.additive_identity)) % 19.42/19.65 (define @t76 () (= @t75 @t74)) % 19.42/19.65 (define @t77 () (tptp.add @t37 tptp.multiplicative_identity)) % 19.42/19.65 (define @t78 () (= @t77 @t40)) % 19.42/19.65 (define @t79 () (tptp.multiply @t39 tptp.multiplicative_identity)) % 19.42/19.65 (define @t80 () (= @t79 (tptp.add @t37 @t37))) % 19.42/19.65 (define @t81 () (tptp.add @t45 tptp.multiplicative_identity)) % 19.42/19.65 (define @t82 () (= tptp.multiplicative_identity @t81)) % 19.42/19.65 (define @t83 () (tptp.multiply tptp.multiplicative_identity @t45)) % 19.42/19.65 (define @t84 () (= tptp.additive_identity @t83)) % 19.42/19.65 (define @t85 () (tptp.multiply @t45 tptp.multiplicative_identity)) % 19.42/19.65 (define @t86 () (= tptp.additive_identity @t85)) % 19.42/19.65 (define @t87 () (= tptp.multiplicative_identity @t37)) % 19.42/19.65 (define @t88 () (= tptp.multiplicative_identity @t75)) % 19.42/19.65 (define @t89 () (tptp.add @t83 tptp.multiplicative_identity)) % 19.42/19.65 (define @t90 () (= @t89 (tptp.multiply @t39 @t81))) % 19.42/19.65 (define @t91 () (= @t45 @t85)) % 19.42/19.65 (define @t92 () (tptp.add tptp.a tptp.additive_identity)) % 19.42/19.65 (define @t93 () (tptp.add tptp.additive_identity tptp.a)) % 19.42/19.65 (define @t94 () (= @t93 @t92)) % 19.42/19.65 (define @t95 () (tptp.multiply tptp.a tptp.additive_identity)) % 19.42/19.65 (define @t96 () (tptp.multiply tptp.additive_identity tptp.a)) % 19.42/19.65 (define @t97 () (= @t96 @t95)) % 19.42/19.65 (define @t98 () (tptp.multiply @t48 tptp.additive_identity)) % 19.42/19.65 (define @t99 () (= @t98 @t55)) % 19.42/19.65 (define @t100 () (= tptp.additive_identity @t48)) % 19.42/19.65 (define @t101 () (tptp.multiply tptp.multiplicative_identity tptp.additive_identity)) % 19.42/19.65 (define @t102 () (tptp.multiply @t74 tptp.additive_identity)) % 19.42/19.65 (define @t103 () (= @t102 (tptp.add @t46 @t101))) % 19.42/19.65 (define @t104 () (= tptp.a @t92)) % 19.42/19.65 (define @t105 () (= tptp.b @t73)) % 19.42/19.65 (define @t106 () (tptp.add tptp.b tptp.additive_identity)) % 19.42/19.65 (define @t107 () (= tptp.b @t106)) % 19.42/19.65 (define @t108 () (tptp.add @t46 tptp.a)) % 19.42/19.65 (define @t109 () (= @t108 (tptp.multiply @t93 @t93))) % 19.42/19.65 (define @t110 () (tptp.multiply tptp.b tptp.additive_identity)) % 19.42/19.65 (define @t111 () (tptp.multiply tptp.additive_identity tptp.b)) % 19.42/19.65 (define @t112 () (= @t111 @t110)) % 19.42/19.65 (define @t113 () (tptp.multiply @t61 tptp.a)) % 19.42/19.65 (define @t114 () (= tptp.additive_identity @t113)) % 19.42/19.65 (define @t115 () (tptp.add tptp.additive_identity tptp.c)) % 19.42/19.65 (define @t116 () (= tptp.c @t115)) % 19.42/19.65 (define @t117 () (tptp.add @t96 @t46)) % 19.42/19.65 (define @t118 () (= (tptp.multiply tptp.additive_identity @t92) @t117)) % 19.42/19.65 (define @t119 () (tptp.multiply tptp.c tptp.multiplicative_identity)) % 19.42/19.65 (define @t120 () (= tptp.c @t119)) % 19.42/19.65 (define @t121 () (tptp.multiply tptp.b @t62)) % 19.42/19.65 (define @t122 () (= tptp.additive_identity @t121)) % 19.42/19.65 (define @t123 () (tptp.multiply @t63 tptp.c)) % 19.42/19.65 (define @t124 () (= tptp.additive_identity @t123)) % 19.42/19.65 (define @t125 () (tptp.multiply @t73 @t31)) % 19.42/19.65 (define @t126 () (= (tptp.add @t96 tptp.b) @t125)) % 19.42/19.65 (define @t127 () (tptp.multiply tptp.c tptp.a)) % 19.42/19.65 (define @t128 () (tptp.multiply tptp.a tptp.c)) % 19.42/19.65 (define @t129 () (= @t128 @t127)) % 19.42/19.65 (define @t130 () (tptp.add @t111 tptp.additive_identity)) % 19.42/19.65 (define @t131 () (= @t130 (tptp.multiply @t48 @t106))) % 19.42/19.65 (define @t132 () (tptp.add tptp.additive_identity @t61)) % 19.42/19.65 (define @t133 () (= @t61 @t132)) % 19.42/19.65 (define @t134 () (tptp.multiply @t132 tptp.a)) % 19.42/19.65 (define @t135 () (= @t134 (tptp.add @t96 @t113))) % 19.42/19.65 (define @t136 () (tptp.add tptp.additive_identity @t62)) % 19.42/19.65 (define @t137 () (= @t62 @t136)) % 19.42/19.65 (define @t138 () (tptp.multiply tptp.b @t136)) % 19.42/19.65 (define @t139 () (= @t138 (tptp.add @t110 @t121))) % 19.42/19.65 (define @t140 () (tptp.multiply @t31 @t92)) % 19.42/19.65 (define @t141 () (= (tptp.add tptp.a @t110) @t140)) % 19.42/19.65 (define @t142 () (tptp.add @t63 tptp.additive_identity)) % 19.42/19.65 (define @t143 () (= @t63 @t142)) % 19.42/19.65 (define @t144 () (tptp.multiply @t33 tptp.c)) % 19.42/19.65 (define @t145 () (tptp.multiply tptp.c @t33)) % 19.42/19.65 (define @t146 () (= @t145 @t144)) % 19.42/19.65 (define @t147 () (tptp.add @t111 tptp.c)) % 19.42/19.65 (define @t148 () (= @t147 (tptp.multiply @t115 @t33))) % 19.42/19.65 (define @t149 () (tptp.multiply tptp.additive_identity tptp.c)) % 19.42/19.65 (define @t150 () (tptp.add tptp.additive_identity @t149)) % 19.42/19.65 (define @t151 () (= @t150 (tptp.multiply @t48 @t115))) % 19.42/19.65 (define @t152 () (tptp.multiply @t142 tptp.c)) % 19.42/19.65 (define @t153 () (= @t152 (tptp.add @t123 @t149))) % 19.42/19.65 (define @t154 () (tptp.add tptp.b @t149)) % 19.42/19.65 (define @t155 () (= @t154 (tptp.multiply @t106 @t33))) % 19.42/19.65 (define @t156 () (tptp.add tptp.c tptp.a)) % 19.42/19.65 (define @t157 () (tptp.multiply @t93 @t156)) % 19.42/19.65 (define @t158 () (= (tptp.add @t149 tptp.a) @t157)) % 19.42/19.65 (define @t159 () (tptp.multiply tptp.c @t39)) % 19.42/19.65 (define @t160 () (= @t159 (tptp.add @t119 @t119))) % 19.42/19.65 (define @t161 () (tptp.add tptp.a tptp.c)) % 19.42/19.65 (define @t162 () (tptp.add @t95 tptp.c)) % 19.42/19.65 (define @t163 () (= @t162 (tptp.multiply @t161 @t115))) % 19.42/19.65 (define @t164 () (tptp.multiply tptp.a tptp.a)) % 19.42/19.65 (define @t165 () (tptp.add @t128 @t164)) % 19.42/19.65 (define @t166 () (= (tptp.multiply tptp.a @t156) @t165)) % 19.42/19.65 (define @t167 () (tptp.add tptp.c tptp.c)) % 19.42/19.65 (define @t168 () (tptp.multiply @t161 @t167)) % 19.42/19.65 (define @t169 () (= (tptp.add @t128 tptp.c) @t168)) % 19.42/19.65 (define @t170 () (tptp.multiply tptp.b @t33)) % 19.42/19.65 (define @t171 () (tptp.add tptp.a @t170)) % 19.42/19.65 (define @t172 () (= @t171 @t69)) % 19.42/19.65 (define @t173 () (tptp.add @t128 @t144)) % 19.42/19.65 (define @t174 () (tptp.multiply @t34 tptp.c)) % 19.42/19.65 (define @t175 () (= @t174 @t173)) % 19.42/19.65 (define @t176 () (tptp.multiply @t64 tptp.a)) % 19.42/19.65 (define @t177 () (= @t176 (tptp.add @t127 (tptp.multiply @t31 tptp.a)))) % 19.42/19.65 (define @t178 () (tptp.multiply @t64 @t33)) % 19.42/19.65 (define @t179 () (= (tptp.multiply @t33 @t64) @t178)) % 19.42/19.65 (define @t180 () (tptp.add @t73 tptp.c)) % 19.42/19.65 (define @t181 () (tptp.multiply @t180 @t32)) % 19.42/19.65 (define @t182 () (= (tptp.add @t125 tptp.c) @t181)) % 19.42/19.65 (define @t183 () (tptp.multiply @t64 @t34)) % 19.42/19.65 (define @t184 () (tptp.multiply @t34 @t64)) % 19.42/19.65 (define @t185 () (= @t184 @t183)) % 19.42/19.65 (define @t186 () (tptp.add @t174 @t68)) % 19.42/19.65 (define @t187 () (= @t184 @t186)) % 19.42/19.65 (define @t188 () (= @t183 (tptp.add @t176 @t178))) % 19.42/19.65 (define @t189 () (and @t76 @t78 @t42 @t80 @t82 @t84 @t86 @t87 @t88 @t90 @t91 @t52 @t94 @t97 @t99 @t57 @t100 @t103 @t104 @t105 @t107 @t109 @t112 @t114 @t116 @t118 @t120 @t122 @t124 @t126 @t129 @t131 @t133 @t135 @t137 @t139 @t141 @t143 @t146 @t148 @t151 @t67 @t153 @t155 @t158 @t160 @t163 @t166 @t169 @t172 @t175 @t72 @t177 @t179 @t182 @t185 @t187 @t188)) % 19.42/19.65 (assume @p1 @t5) % 19.42/19.65 (assume @p2 @t7) % 19.42/19.65 (assume @p3 @t12) % 19.42/19.65 (assume @p4 @t14) % 19.42/19.65 (assume @p5 (forall @t11 (= (tptp.multiply @t3 @t8) (tptp.add @t15 @t13)))) % 19.42/19.65 (assume @p6 @t16) % 19.42/19.65 (assume @p7 (forall @t18 (= (tptp.add @t1 @t17) tptp.multiplicative_identity))) % 19.42/19.65 (assume @p8 @t20) % 19.42/19.65 (assume @p9 @t22) % 19.42/19.65 (assume @p10 @t24) % 19.42/19.65 (assume @p11 @t26) % 19.42/19.65 (assume @p12 (forall @t18 (= (tptp.multiply tptp.multiplicative_identity @t1) @t1))) % 19.42/19.65 (assume @p13 @t28) % 19.42/19.65 (assume @p14 @t30) % 19.42/19.65 (assume @p15 (not @t35)) % 19.42/19.65 (step @p16 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity tptp.additive_identity))) % 19.42/19.65 (step @p17 :rule instantiate :premises (@p3) :args (@t36)) % 19.42/19.65 (step @p18 :rule eq-symm :args (@t38 @t40)) % 19.42/19.65 (step @p19 :rule refl :args (@t14)) % 19.42/19.65 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t14 @t41))) % 19.42/19.65 (assume-push @p390 @t14) % 19.42/19.65 (step @p22 :rule instantiate :premises (@p4) :args (@t36)) % 19.42/19.65 (step-pop @p391 :rule scope :premises (@p22)) % 19.42/19.65 (step @p23 :rule process_scope :premises (@p391) :args (@t41)) % 19.42/19.65 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 19.42/19.65 (step @p26 :rule implies_elim :premises (@p25)) % 19.42/19.65 (step @p27 :rule chain_m_resolution :premises (@p26 @p4) :args (@t42 @t43 (@list @t14))) % 19.42/19.65 (step @p28 :rule instantiate :premises (@p5) :args (@t36)) % 19.42/19.65 (step @p29 :rule eq-symm :args (@t19 tptp.multiplicative_identity)) % 19.42/19.65 (step @p30 :rule cong :premises (@p29) :args (@t20)) % 19.42/19.65 (step @p31 :rule eq_resolve :premises (@p8 @p30)) % 19.42/19.65 (step @p32 :rule instantiate :premises (@p31) :args (@t44)) % 19.42/19.65 (step @p33 :rule eq-symm :args (@t21 tptp.additive_identity)) % 19.42/19.65 (step @p34 :rule cong :premises (@p33) :args (@t22)) % 19.42/19.65 (step @p35 :rule eq_resolve :premises (@p9 @p34)) % 19.42/19.65 (step @p36 :rule instantiate :premises (@p35) :args (@t44)) % 19.42/19.65 (step @p37 :rule eq-symm :args (@t23 tptp.additive_identity)) % 19.42/19.65 (step @p38 :rule cong :premises (@p37) :args (@t24)) % 19.42/19.65 (step @p39 :rule eq_resolve :premises (@p10 @p38)) % 19.42/19.65 (step @p40 :rule instantiate :premises (@p39) :args (@t44)) % 19.42/19.65 (step @p41 :rule eq-symm :args (@t25 @t1)) % 19.42/19.65 (step @p42 :rule cong :premises (@p41) :args (@t26)) % 19.42/19.65 (step @p43 :rule eq_resolve :premises (@p11 @p42)) % 19.42/19.65 (step @p44 :rule instantiate :premises (@p43) :args (@t44)) % 19.42/19.65 (step @p45 :rule eq-symm :args (@t27 @t1)) % 19.42/19.65 (step @p46 :rule cong :premises (@p45) :args (@t28)) % 19.42/19.65 (step @p47 :rule eq_resolve :premises (@p13 @p46)) % 19.42/19.65 (step @p48 :rule instantiate :premises (@p47) :args (@t44)) % 19.42/19.65 (step @p49 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity @t45 tptp.multiplicative_identity))) % 19.42/19.66 (step @p50 :rule instantiate :premises (@p43) :args ((@list @t45))) % 19.42/19.66 (step @p51 :rule eq-symm :args (@t47 @t49)) % 19.42/19.66 (step @p52 :rule refl :args (@t12)) % 19.42/19.66 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t12 @t50))) % 19.42/19.66 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:premises (@p86)) % 19.42/19.66 (step @p294 :rule symm :premises (@p257)) % 19.42/19.66 (step @p295 :rule symm :premises (@p219)) % 19.42/19.66 (step @p296 :rule trans :premises (@p84 @p295 @p94 @p294 @p293 @p292)) % 19.42/19.66 (step @p297 :rule cong :premises (@p296 @p206) :args (@t73)) % 19.42/19.66 (step @p298 :rule trans :premises (@p80 @p297 @p90)) % 19.42/19.66 (step @p299 :rule cong :premises (@p298 @p197) :args (@t33)) % 19.42/19.66 (step @p300 :rule trans :premises (@p299 @p133 @p291 @p132)) % 19.42/19.66 (step @p301 :rule symm :premises (@p131)) % 19.42/19.66 (step @p302 :rule symm :premises (@p76)) % 19.42/19.66 (step @p303 :rule refl :args (@t31)) % 19.42/19.66 (step @p304 :rule cong :premises (@p303 @p302) :args (@t140)) % 19.42/19.66 (step @p305 :rule symm :premises (@p276)) % 19.42/19.66 (step @p306 :rule symm :premises (@p274)) % 19.42/19.66 (step @p307 :rule symm :premises (@p272)) % 19.42/19.66 (step @p308 :rule trans :premises (@p88 @p307 @p96 @p306 @p92 @p305 @p83)) % 19.42/19.66 (step @p309 :rule cong :premises (@p212 @p308) :args (@t92)) % 19.42/19.66 (step @p310 :rule trans :premises (@p254 @p68 @p253 @p252 @p60 @p250 @p246 @p245 @p225 @p221)) % 19.42/19.66 (step @p311 :rule cong :premises (@p310 @p212) :args (@t108)) % 19.42/19.66 (step @p312 :rule symm :premises (@p82)) % 19.42/19.66 (step @p313 :rule symm :premises (@p61)) % 19.42/19.66 (step @p314 :rule trans :premises (@p76 @p313)) % 19.42/19.66 (step @p315 :rule cong :premises (@p314 @p314) :args (@t164)) % 19.42/19.66 (step @p316 :rule trans :premises (@p315 @p312 @p311 @p61 @p309 @p97 @p304)) % 19.42/19.66 (step @p317 :rule cong :premises (@p91 @p316) :args (@t165)) % 19.42/19.66 (step @p318 :rule refl :args (@t156)) % 19.42/19.66 (step @p319 :rule symm :premises (@p314)) % 19.42/19.66 (step @p320 :rule cong :premises (@p319 @p318) :args (@t157)) % 19.42/19.66 (step @p321 :rule symm :premises (@p205)) % 19.42/19.66 (step @p322 :rule cong :premises (@p321 @p212) :args (@t93)) % 19.42/19.66 (step @p323 :rule trans :premises (@p76 @p313 @p322 @p114 @p320 @p117 @p317 @p301)) % 19.42/19.66 (step @p324 :rule cong :premises (@p323 @p300) :args (@t34)) % 19.42/19.66 (step @p325 :rule trans :premises (@p324 @p288 @p287 @p135 @p286 @p106)) % 19.42/19.66 (step-pop @p458 :rule scope :premises (@p325)) % 19.42/19.66 (step-pop @p459 :rule scope :premises (@p458)) % 19.42/19.66 (step-pop @p460 :rule scope :premises (@p459)) % 19.42/19.66 (step-pop @p461 :rule scope :premises (@p460)) % 19.42/19.66 (step-pop @p462 :rule scope :premises (@p461)) % 19.42/19.66 (step-pop @p463 :rule scope :premises (@p462)) % 19.42/19.66 (step-pop @p464 :rule scope :premises (@p463)) % 19.42/19.66 (step-pop @p465 :rule scope :premises (@p464)) % 19.42/19.66 (step-pop @p466 :rule scope :premises (@p465)) % 19.42/19.66 (step-pop @p467 :rule scope :premises (@p466)) % 19.42/19.66 (step-pop @p468 :rule scope :premises (@p467)) % 19.42/19.66 (step-pop @p469 :rule scope :premises (@p468)) % 19.42/19.66 (step-pop @p470 :rule scope :premises (@p469)) % 19.42/19.66 (step-pop @p471 :rule scope :premises (@p470)) % 19.42/19.66 (step-pop @p472 :rule scope :premises (@p471)) % 19.42/19.66 (step-pop @p473 :rule scope :premises (@p472)) % 19.42/19.66 (step-pop @p474 :rule scope :premises (@p473)) % 19.42/19.66 (step-pop @p475 :rule scope :premises (@p474)) % 19.42/19.66 (step-pop @p476 :rule scope :premises (@p475)) % 19.42/19.66 (step-pop @p477 :rule scope :premises (@p476)) % 19.42/19.66 (step-pop @p478 :rule scope :premises (@p477)) % 19.42/19.66 (step-pop @p479 :rule scope :premises (@p478)) % 19.42/19.66 (step-pop @p480 :rule scope :premises (@p479)) % 19.42/19.66 (step-pop @p481 :rule scope :premises (@p480)) % 19.42/19.66 (step-pop @p482 :rule scope :premises (@p481)) % 19.42/19.66 (step-pop @p483 :rule scope :premises (@p482)) % 19.42/19.66 (step-pop @p484 :rule scope :premises (@p483)) % 19.42/19.66 (step-pop @p485 :rule scope :premises (@p484)) % 19.42/19.66 (step-pop @p486 :rule scope :premises (@p485)) % 19.42/19.66 (step-pop @p487 :rule scope :premises (@p486)) % 19.42/19.66 (step-pop @p488 :rule scope :premises (@p487)) % 19.42/19.66 (step-pop @p489 :rule scope :premises (@p488)) % 19.42/19.66 (step-pop @p490 :rule scope :premises (@p489)) % 19.42/19.66 (step-pop @p491 :rule scope :premises (@p490)) % 19.42/19.66 (step-pop @p492 :rule scope :premises (@p491)) % 19.42/19.66 (step-pop @p493 :rule scope :premises (@p492)) % 19.42/19.66 (step-pop @p494 :rule scope :premises (@p493)) % 19.42/19.66 (step-pop @p495 :rule scope :premises (@p494)) % 19.42/19.66 (step-pop @p496 :rule scope :premises (@p495)) % 19.42/19.66 (step-pop @p497 :rule scope :premises (@p496)) % 19.42/19.66 (step-pop @p498 :rule scope :premises (@p497)) % 19.42/19.66 (step-pop @p499 :rule scope :premises (@p498)) % 19.42/19.66 (step-pop @p500 :rule scope :premises (@p499)) % 19.42/19.66 (step-pop @p501 :rule scope :premises (@p500)) % 19.42/19.66 (step-pop @p502 :rule scope :premises (@p501)) % 19.42/19.66 (step-pop @p503 :rule scope :premises (@p502)) % 19.42/19.66 (step-pop @p504 :rule scope :premises (@p503)) % 19.42/19.66 (step-pop @p505 :rule scope :premises (@p504)) % 19.42/19.66 (step-pop @p506 :rule scope :premises (@p505)) % 19.42/19.66 (step-pop @p507 :rule scope :premises (@p506)) % 19.42/19.66 (step-pop @p508 :rule scope :premises (@p507)) % 19.42/19.66 (step-pop @p509 :rule scope :premises (@p508)) % 19.42/19.66 (step-pop @p510 :rule scope :premises (@p509)) % 19.42/19.66 (step-pop @p511 :rule scope :premises (@p510)) % 19.42/19.66 (step-pop @p512 :rule scope :premises (@p511)) % 19.42/19.66 (step-pop @p513 :rule scope :premises (@p512)) % 19.42/19.66 (step-pop @p514 :rule scope :premises (@p513)) % 19.42/19.66 (step-pop @p515 :rule scope :premises (@p514)) % 19.42/19.66 (step @p326 :rule process_scope :premises (@p515) :args (@t35)) % 19.42/19.66 (step @p385 :rule implies_elim :premises (@p326)) % 19.42/19.66 (step @p386 :rule cnf_and_neg :args (@t189)) % 19.42/19.66 (step @p387 :rule resolution :premises (@p386 @p385) :args (true @t189)) % 19.42/19.66 (step @p388 :rule reordering :premises (@p387) :args ((or @t35 (not @t76) (not @t78) (not @t42) (not @t80) (not @t82) (not @t84) (not @t86) (not @t87) (not @t88) (not @t90) (not @t91) (not @t52) (not @t94) (not @t97) (not @t99) (not @t57) (not @t100) (not @t103) (not @t104) (not @t105) (not @t107) (not @t109) (not @t112) (not @t114) (not @t116) (not @t118) (not @t120) (not @t122) (not @t124) (not @t126) (not @t129) (not @t131) (not @t133) (not @t135) (not @t137) (not @t139) (not @t141) (not @t143) (not @t146) (not @t148) (not @t151) (not @t67) (not @t153) (not @t155) (not @t158) (not @t160) (not @t163) (not @t166) (not @t169) (not @t172) (not @t175) (not @t72) (not @t177) (not @t179) (not @t182) (not @t185) (not @t187) (not @t188)))) % 19.42/19.66 (step @p389 false :rule chain_m_resolution :premises (@p388 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p76 @p75 @p74 @p73 @p63 @p62 @p61 @p60 @p50 @p49 @p48 @p44 @p40 @p36 @p32 @p28 @p27 @p17 @p16 @p15) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t188 @t187 @t185 @t182 @t179 @t177 @t72 @t175 @t172 @t169 @t166 @t163 @t160 @t158 @t155 @t153 @t67 @t151 @t148 @t146 @t143 @t141 @t139 @t137 @t135 @t133 @t131 @t129 @t126 @t124 @t122 @t120 @t118 @t116 @t114 @t112 @t109 @t107 @t105 @t104 @t103 @t100 @t57 @t99 @t97 @t94 @t52 @t91 @t90 @t88 @t87 @t86 @t84 @t82 @t80 @t42 @t78 @t76 @t35))) % 19.42/19.66 ) % 19.42/19.66 % SZS output end Proof % 19.42/19.66 % cvc5 exiting %------------------------------------------------------------------------------