%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD012-4 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:15:21 AM UTC 2026 % Result : Unsatisfiable 65.65s 65.81s % Output : Proof 65.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : FLD012-4 : TPTP v9.2.1. Bugfixed v2.1.0. % 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 : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 22:35:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.33/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.58 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.45/27.60 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.44/33.67 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.54/63.72 --- Run --trigger-sel=max --full-saturate-quant at 15... % 65.65/65.81 % SZS status Unsatisfiable % 65.65/65.81 % SZS output start Proof % 65.65/65.82 ( % 65.65/65.82 (declare-sort $$unsorted 0) % 65.65/65.82 (declare-const tptp.v $$unsorted) % 65.65/65.82 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 65.65/65.82 (declare-const tptp.defined (-> $$unsorted Bool)) % 65.65/65.82 (declare-const tptp.b $$unsorted) % 65.65/65.82 (declare-const tptp.additive_identity $$unsorted) % 65.65/65.82 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.65/65.82 (declare-const tptp.a $$unsorted) % 65.65/65.82 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.65/65.82 (declare-const tptp.multiplicative_identity $$unsorted) % 65.65/65.82 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 65.65/65.82 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 65.65/65.82 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 65.65/65.82 (declare-const tptp.u $$unsorted) % 65.65/65.82 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 65.65/65.82 (define @t1 () (@var "W" $$unsorted)) % 65.65/65.82 (define @t2 () (@var "Z" $$unsorted)) % 65.65/65.82 (define @t3 () (@var "U" $$unsorted)) % 65.65/65.82 (define @t4 () (tptp.sum @t3 @t2 @t1)) % 65.65/65.82 (define @t5 () (@var "V" $$unsorted)) % 65.65/65.82 (define @t6 () (@var "Y" $$unsorted)) % 65.65/65.82 (define @t7 () (not (tptp.sum @t6 @t2 @t5))) % 65.65/65.82 (define @t8 () (@var "X" $$unsorted)) % 65.65/65.82 (define @t9 () (not (tptp.sum @t8 @t6 @t3))) % 65.65/65.82 (define @t10 () (tptp.sum @t8 @t5 @t1)) % 65.65/65.82 (define @t11 () (@list @t8 @t5 @t1 @t6 @t3 @t2)) % 65.65/65.82 (define @t12 () (@list @t3 @t2 @t1 @t8 @t6 @t5)) % 65.65/65.82 (define @t13 () (not (tptp.defined @t8))) % 65.65/65.82 (define @t14 () (@list @t8)) % 65.65/65.82 (define @t15 () (tptp.additive_inverse @t8)) % 65.65/65.82 (define @t16 () (@list @t6 @t8 @t2)) % 65.65/65.82 (define @t17 () (tptp.product @t3 @t2 @t1)) % 65.65/65.82 (define @t18 () (not (tptp.product @t6 @t2 @t5))) % 65.65/65.82 (define @t19 () (not (tptp.product @t8 @t6 @t3))) % 65.65/65.82 (define @t20 () (tptp.product @t8 @t5 @t1)) % 65.65/65.82 (define @t21 () (tptp.sum tptp.additive_identity @t8 tptp.additive_identity)) % 65.65/65.82 (define @t22 () (tptp.multiplicative_inverse @t8)) % 65.65/65.82 (define @t23 () (not (tptp.product @t8 @t6 @t2))) % 65.65/65.82 (define @t24 () (@var "D" $$unsorted)) % 65.65/65.82 (define @t25 () (not (tptp.product @t6 @t2 @t24))) % 65.65/65.82 (define @t26 () (@var "C" $$unsorted)) % 65.65/65.82 (define @t27 () (not (tptp.product @t8 @t2 @t26))) % 65.65/65.82 (define @t28 () (@var "B" $$unsorted)) % 65.65/65.82 (define @t29 () (@var "A" $$unsorted)) % 65.65/65.82 (define @t30 () (tptp.product @t29 @t2 @t28)) % 65.65/65.82 (define @t31 () (not (tptp.sum @t8 @t6 @t29))) % 65.65/65.82 (define @t32 () (tptp.sum @t26 @t24 @t28)) % 65.65/65.82 (define @t33 () (forall (@list @t26 @t24 @t28 @t8 @t6 @t29 @t2) (or @t32 @t31 (not @t30) @t27 @t25))) % 65.65/65.82 (define @t34 () (not (tptp.defined @t6))) % 65.65/65.82 (define @t35 () (tptp.add @t8 @t6)) % 65.65/65.82 (define @t36 () (@list @t8 @t6)) % 65.65/65.82 (define @t37 () (tptp.defined tptp.additive_identity)) % 65.65/65.82 (define @t38 () (tptp.multiply @t8 @t6)) % 65.65/65.82 (define @t39 () (tptp.defined tptp.multiplicative_identity)) % 65.65/65.82 (define @t40 () (tptp.less_or_equal @t6 @t8)) % 65.65/65.82 (define @t41 () (tptp.less_or_equal @t8 @t6)) % 65.65/65.82 (define @t42 () (not @t41)) % 65.65/65.82 (define @t43 () (tptp.defined tptp.a)) % 65.65/65.82 (define @t44 () (tptp.defined tptp.b)) % 65.65/65.82 (define @t45 () (tptp.defined tptp.u)) % 65.65/65.82 (define @t46 () (tptp.defined tptp.v)) % 65.65/65.82 (define @t47 () (tptp.sum tptp.additive_identity tptp.a tptp.additive_identity)) % 65.65/65.82 (define @t48 () (tptp.sum tptp.additive_identity tptp.b tptp.additive_identity)) % 65.65/65.82 (define @t49 () (tptp.product tptp.a tptp.b tptp.u)) % 65.65/65.82 (define @t50 () (tptp.multiplicative_inverse tptp.b)) % 65.65/65.82 (define @t51 () (tptp.multiplicative_inverse tptp.a)) % 65.65/65.82 (define @t52 () (tptp.product @t51 @t50 tptp.v)) % 65.65/65.82 (define @t53 () (tptp.multiplicative_inverse tptp.u)) % 65.65/65.82 (define @t54 () (tptp.product tptp.multiplicative_identity @t53 tptp.v)) % 65.65/65.82 (define @t55 () (@list tptp.u)) % 65.65/65.82 (define @t56 () (@list tptp.b)) % 65.65/65.82 (define @t57 () (not @t44)) % 65.65/65.82 (define @t58 () (tptp.product @t50 tptp.b tptp.multiplicative_identity)) % 65.65/65.82 (define @t59 () (or @t58 @t48 @t57)) % 65.65/65.82 (define @t60 () (@list true false false)) % 65.65/65.82 (define @t61 () (not @t58)) % 65.65/65.82 (define @t62 () (tptp.product tptp.b @t50 tptp.multiplicative_identity)) % 65.65/65.82 (define @t63 () (or @t62 @t61)) % 65.65/65.82 (define @t64 () (@list false false)) % 65.65/65.82 (define @t65 () (@list tptp.a)) % 65.65/65.82 (define @t66 () (not @t43)) % 65.65/65.82 (define @t67 () (tptp.product tptp.multiplicative_identity tptp.a tptp.a)) % 65.65/65.82 (define @t68 () (or @t67 @t66)) % 65.65/65.82 (define @t69 () (not @t67)) % 65.65/65.82 (define @t70 () (tptp.product tptp.a tptp.multiplicative_identity tptp.a)) % 65.65/65.82 (define @t71 () (or @t70 @t69)) % 65.65/65.82 (define @t72 () (not @t70)) % 65.65/65.82 (define @t73 () (not @t62)) % 65.65/65.82 (define @t74 () (not @t49)) % 65.65/65.82 (define @t75 () (tptp.product tptp.u @t50 tptp.a)) % 65.65/65.82 (define @t76 () (or @t75 @t74 @t73 @t72)) % 65.65/65.82 (define @t77 () (@list false false false false)) % 65.65/65.82 (define @t78 () (tptp.product @t51 tptp.a tptp.multiplicative_identity)) % 65.65/65.82 (define @t79 () (or @t78 @t47 @t66)) % 65.65/65.82 (define @t80 () (not @t78)) % 65.65/65.82 (define @t81 () (tptp.product tptp.a @t51 tptp.multiplicative_identity)) % 65.65/65.82 (define @t82 () (or @t81 @t80)) % 65.65/65.82 (define @t83 () (not @t52)) % 65.65/65.82 (define @t84 () (tptp.product @t50 @t51 tptp.v)) % 65.65/65.82 (define @t85 () (or @t84 @t83)) % 65.65/65.82 (define @t86 () (not @t81)) % 65.65/65.82 (define @t87 () (not @t84)) % 65.65/65.82 (define @t88 () (not @t75)) % 65.65/65.82 (define @t89 () (tptp.product tptp.u tptp.v tptp.multiplicative_identity)) % 65.65/65.82 (define @t90 () (or @t89 @t88 @t87 @t86)) % 65.65/65.82 (define @t91 () (not @t89)) % 65.65/65.82 (define @t92 () (tptp.product tptp.v tptp.u tptp.multiplicative_identity)) % 65.65/65.82 (define @t93 () (or @t92 @t91)) % 65.65/65.82 (define @t94 () (not @t46)) % 65.65/65.82 (define @t95 () (tptp.product tptp.multiplicative_identity tptp.v tptp.v)) % 65.65/65.82 (define @t96 () (or @t95 @t94)) % 65.65/65.82 (define @t97 () (not @t95)) % 65.65/65.82 (define @t98 () (tptp.product tptp.v tptp.multiplicative_identity tptp.v)) % 65.65/65.82 (define @t99 () (or @t98 @t97)) % 65.65/65.82 (define @t100 () (not @t98)) % 65.65/65.82 (define @t101 () (tptp.product tptp.u @t53 tptp.multiplicative_identity)) % 65.65/65.82 (define @t102 () (not @t101)) % 65.65/65.82 (define @t103 () (not @t92)) % 65.65/65.82 (define @t104 () (or @t54 @t103 @t102 @t100)) % 65.65/65.82 (define @t105 () (tptp.product @t53 tptp.u tptp.multiplicative_identity)) % 65.65/65.82 (define @t106 () (not @t105)) % 65.65/65.82 (define @t107 () (or @t101 @t106)) % 65.65/65.82 (define @t108 () (@list true false)) % 65.65/65.82 (define @t109 () (not @t45)) % 65.65/65.82 (define @t110 () (tptp.sum tptp.additive_identity tptp.u tptp.additive_identity)) % 65.65/65.82 (define @t111 () (or @t105 @t110 @t109)) % 65.65/65.82 (define @t112 () (not @t110)) % 65.65/65.82 (define @t113 () (tptp.sum tptp.u tptp.additive_identity tptp.additive_identity)) % 65.65/65.82 (define @t114 () (or @t113 @t112)) % 65.65/65.82 (define @t115 () (tptp.product tptp.multiplicative_identity tptp.u tptp.u)) % 65.65/65.82 (define @t116 () (or @t115 @t109)) % 65.65/65.82 (define @t117 () (not @t115)) % 65.65/65.82 (define @t118 () (tptp.product tptp.u tptp.multiplicative_identity tptp.u)) % 65.65/65.82 (define @t119 () (or @t118 @t117)) % 65.65/65.82 (define @t120 () (not @t37)) % 65.65/65.82 (define @t121 () (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity)) % 65.65/65.82 (define @t122 () (or @t121 @t120)) % 65.65/65.82 (define @t123 () (not @t121)) % 65.65/65.82 (define @t124 () (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity)) % 65.65/65.82 (define @t125 () (or @t124 @t123)) % 65.65/65.82 (define @t126 () (tptp.sum tptp.additive_identity tptp.u tptp.u)) % 65.65/65.82 (define @t127 () (or @t126 @t109)) % 65.65/65.82 (define @t128 () (not @t126)) % 65.65/65.82 (define @t129 () (tptp.sum tptp.u tptp.additive_identity tptp.u)) % 65.65/65.82 (define @t130 () (or @t129 @t128)) % 65.65/65.82 (define @t131 () (not @t113)) % 65.65/65.82 (define @t132 () (not @t124)) % 65.65/65.82 (define @t133 () (not @t118)) % 65.65/65.82 (define @t134 () (not @t129)) % 65.65/65.82 (define @t135 () (tptp.product tptp.u tptp.multiplicative_identity tptp.additive_identity)) % 65.65/65.82 (define @t136 () (or @t135 @t134 @t133 @t132 @t131)) % 65.65/65.82 (define @t137 () (tptp.sum tptp.a tptp.additive_identity tptp.additive_identity)) % 65.65/65.82 (define @t138 () (not @t137)) % 65.65/65.82 (define @t139 () (or @t47 @t138)) % 65.65/65.82 (define @t140 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 65.65/65.82 (define @t141 () (or @t140 @t66)) % 65.65/65.82 (define @t142 () (not @t140)) % 65.65/65.82 (define @t143 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 65.65/65.82 (define @t144 () (or @t143 @t142)) % 65.65/65.82 (define @t145 () (tptp.sum tptp.a tptp.u tptp.additive_identity)) % 65.65/65.82 (define @t146 () (not @t145)) % 65.65/65.82 (define @t147 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.u)) % 65.65/65.82 (define @t148 () (not @t147)) % 65.65/65.82 (define @t149 () (not @t143)) % 65.65/65.82 (define @t150 () (or @t137 @t149 @t148 @t146)) % 65.65/65.82 (define @t151 () (@list tptp.multiplicative_identity)) % 65.65/65.82 (define @t152 () (not @t39)) % 65.65/65.82 (define @t153 () (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 65.65/65.82 (define @t154 () (or @t153 @t152)) % 65.65/65.82 (define @t155 () (tptp.additive_inverse tptp.multiplicative_identity)) % 65.65/65.82 (define @t156 () (tptp.sum @t155 tptp.multiplicative_identity tptp.additive_identity)) % 65.65/65.82 (define @t157 () (or @t156 @t152)) % 65.65/65.82 (define @t158 () (not @t156)) % 65.65/65.82 (define @t159 () (tptp.sum tptp.multiplicative_identity @t155 tptp.additive_identity)) % 65.65/65.82 (define @t160 () (or @t159 @t158)) % 65.65/65.82 (define @t161 () (not @t159)) % 65.65/65.82 (define @t162 () (not @t153)) % 65.65/65.82 (define @t163 () (tptp.sum tptp.multiplicative_identity @t155 tptp.u)) % 65.65/65.82 (define @t164 () (or @t163 @t162 @t161 @t148)) % 65.65/65.82 (define @t165 () (tptp.product tptp.b tptp.a tptp.u)) % 65.65/65.82 (define @t166 () (or @t165 @t74)) % 65.65/65.82 (define @t167 () (not @t135)) % 65.65/65.82 (define @t168 () (not @t165)) % 65.65/65.82 (define @t169 () (tptp.product tptp.b tptp.a tptp.additive_identity)) % 65.65/65.82 (define @t170 () (or @t169 @t168 @t72 @t167)) % 65.65/65.82 (define @t171 () (not @t169)) % 65.65/65.82 (define @t172 () (tptp.product tptp.a tptp.b tptp.additive_identity)) % 65.65/65.82 (define @t173 () (or @t172 @t171)) % 65.65/65.82 (define @t174 () (not @t172)) % 65.65/65.82 (define @t175 () (tptp.product tptp.additive_identity @t50 tptp.a)) % 65.65/65.82 (define @t176 () (or @t175 @t174 @t73 @t72)) % 65.65/65.82 (define @t177 () (tptp.sum tptp.additive_identity tptp.b tptp.b)) % 65.65/65.82 (define @t178 () (or @t177 @t57)) % 65.65/65.82 (define @t179 () (not @t177)) % 65.65/65.82 (define @t180 () (tptp.sum tptp.b tptp.additive_identity tptp.b)) % 65.65/65.82 (define @t181 () (or @t180 @t179)) % 65.65/65.82 (define @t182 () (not @t175)) % 65.65/65.82 (define @t183 () (not @t180)) % 65.65/65.82 (define @t184 () (tptp.sum tptp.multiplicative_identity tptp.a tptp.multiplicative_identity)) % 65.65/65.82 (define @t185 () (or @t184 @t183 @t73 @t73 @t182)) % 65.65/65.82 (define @t186 () (not @t184)) % 65.65/65.82 (define @t187 () (tptp.sum tptp.a tptp.multiplicative_identity tptp.multiplicative_identity)) % 65.65/65.82 (define @t188 () (or @t187 @t186)) % 65.65/65.82 (define @t189 () (not @t163)) % 65.65/65.82 (define @t190 () (not @t187)) % 65.65/65.82 (define @t191 () (or @t145 @t190 @t189 @t161)) % 65.65/65.82 (define @t192 () (or @t147 @t128 @t133 @t132 @t167)) % 65.65/65.82 (define @t193 () (not @t192)) % 65.65/65.82 (assume @p1 (forall @t11 (or @t10 @t9 @t7 (not @t4)))) % 65.65/65.82 (assume @p2 (forall @t12 (or @t4 @t9 @t7 (not @t10)))) % 65.65/65.82 (assume @p3 (forall @t14 (or (tptp.sum tptp.additive_identity @t8 @t8) @t13))) % 65.65/65.82 (assume @p4 (forall @t14 (or (tptp.sum @t15 @t8 tptp.additive_identity) @t13))) % 65.65/65.82 (assume @p5 (forall @t16 (or (tptp.sum @t6 @t8 @t2) (not (tptp.sum @t8 @t6 @t2))))) % 65.65/65.82 (assume @p6 (forall @t11 (or @t20 @t19 @t18 (not @t17)))) % 65.65/65.82 (assume @p7 (forall @t12 (or @t17 @t19 @t18 (not @t20)))) % 65.65/65.82 (assume @p8 (forall @t14 (or (tptp.product tptp.multiplicative_identity @t8 @t8) @t13))) % 65.65/65.82 (assume @p9 (forall @t14 (or (tptp.product @t22 @t8 tptp.multiplicative_identity) @t21 @t13))) % 65.65/65.82 (assume @p10 (forall @t16 (or (tptp.product @t6 @t8 @t2) @t23))) % 65.65/65.82 (assume @p11 @t33) % 65.65/65.82 (assume @p12 (forall (@list @t29 @t2 @t28 @t8 @t6 @t26 @t24) (or @t30 @t31 @t27 @t25 (not @t32)))) % 65.65/65.82 (assume @p13 (forall @t36 (or (tptp.defined @t35) @t13 @t34))) % 65.65/65.82 (assume @p14 @t37) % 65.65/65.82 (assume @p15 (forall @t14 (or (tptp.defined @t15) @t13))) % 65.65/65.82 (assume @p16 (forall @t36 (or (tptp.defined @t38) @t13 @t34))) % 65.65/65.82 (assume @p17 @t39) % 65.65/65.82 (assume @p18 (forall @t14 (or (tptp.defined @t22) @t13 @t21))) % 65.65/65.82 (assume @p19 (forall @t36 (or (tptp.sum @t8 @t6 @t35) @t13 @t34))) % 65.65/65.82 (assume @p20 (forall @t36 (or (tptp.product @t8 @t6 @t38) @t13 @t34))) % 65.65/65.82 (assume @p21 (forall @t36 (or (tptp.sum tptp.additive_identity @t8 @t6) @t42 (not @t40)))) % 65.65/65.82 (assume @p22 (forall (@list @t8 @t2 @t6) (or (tptp.less_or_equal @t8 @t2) @t42 (not (tptp.less_or_equal @t6 @t2))))) % 65.65/65.82 (assume @p23 (forall @t36 (or @t41 @t40 @t13 @t34))) % 65.65/65.82 (assume @p24 (forall (@list @t3 @t5 @t8 @t6 @t2) (or (tptp.less_or_equal @t3 @t5) @t42 (not (tptp.sum @t8 @t2 @t3)) @t7))) % 65.65/65.82 (assume @p25 (forall (@list @t2 @t8 @t6) (or (tptp.less_or_equal tptp.additive_identity @t2) (not (tptp.less_or_equal tptp.additive_identity @t8)) (not (tptp.less_or_equal tptp.additive_identity @t6)) @t23))) % 65.65/65.82 (assume @p26 (not (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) % 65.65/65.82 (assume @p27 @t43) % 65.65/65.82 (assume @p28 @t44) % 65.65/65.82 (assume @p29 @t45) % 65.65/65.82 (assume @p30 @t46) % 65.65/65.82 (assume @p31 (not @t47)) % 65.65/65.82 (assume @p32 (not @t48)) % 65.65/65.82 (assume @p33 @t49) % 65.65/65.82 (assume @p34 @t52) % 65.65/65.82 (assume @p35 (not @t54)) % 65.65/65.82 (step @p36 :rule instantiate :premises (@p12) :args ((@list tptp.u tptp.multiplicative_identity tptp.additive_identity tptp.u tptp.additive_identity tptp.u tptp.additive_identity))) % 65.65/65.82 (step @p37 :rule instantiate :premises (@p5) :args ((@list tptp.u tptp.additive_identity tptp.additive_identity))) % 65.65/65.82 (step @p38 :rule instantiate :premises (@p9) :args (@t55)) % 65.65/65.82 (step @p39 :rule instantiate :premises (@p10) :args ((@list tptp.u @t53 tptp.multiplicative_identity))) % 65.65/65.82 (step @p40 :rule instantiate :premises (@p7) :args ((@list tptp.multiplicative_identity @t53 tptp.v tptp.v tptp.u tptp.multiplicative_identity))) % 65.65/65.82 (step @p41 :rule instantiate :premises (@p10) :args ((@list tptp.v tptp.u tptp.multiplicative_identity))) % 65.65/65.82 (step @p42 :rule instantiate :premises (@p6) :args ((@list tptp.u tptp.v tptp.multiplicative_identity @t50 tptp.a @t51))) % 65.65/65.82 (step @p43 :rule instantiate :premises (@p7) :args ((@list tptp.u @t50 tptp.a tptp.a tptp.b tptp.multiplicative_identity))) % 65.65/65.82 (step @p44 :rule instantiate :premises (@p10) :args ((@list tptp.b @t50 tptp.multiplicative_identity))) % 65.65/65.82 (step @p45 :rule instantiate :premises (@p9) :args (@t56)) % 65.65/65.82 (step @p46 :rule cnf_or_pos :args (@t59)) % 65.65/65.82 (step @p47 :rule reordering :premises (@p46) :args ((or @t48 @t57 @t58 (not @t59)))) % 65.65/65.82 (step @p48 :rule chain_m_resolution :premises (@p47 @p32 @p28 @p45) :args (@t58 @t60 (@list @t48 @t44 @t59))) % 65.65/65.82 (step @p49 :rule cnf_or_pos :args (@t63)) % 65.65/65.82 (step @p50 :rule reordering :premises (@p49) :args ((or @t61 @t62 (not @t63)))) % 65.65/65.82 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p44) :args (@t62 @t64 (@list @t58 @t63))) % 65.65/65.82 (step @p52 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.multiplicative_identity tptp.a))) % 65.65/65.82 (step @p53 :rule instantiate :premises (@p8) :args (@t65)) % 65.65/65.82 (step @p54 :rule cnf_or_pos :args (@t68)) % 65.65/65.82 (step @p55 :rule reordering :premises (@p54) :args ((or @t66 @t67 (not @t68)))) % 65.65/65.82 (step @p56 :rule chain_m_resolution :premises (@p55 @p27 @p53) :args (@t67 @t64 (@list @t43 @t68))) % 65.65/65.82 (step @p57 :rule cnf_or_pos :args (@t71)) % 65.65/65.82 (step @p58 :rule reordering :premises (@p57) :args ((or @t69 @t70 (not @t71)))) % 65.65/65.82 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p52) :args (@t70 @t64 (@list @t67 @t71))) % 65.65/65.82 (step @p60 :rule cnf_or_pos :args (@t76)) % 65.65/65.82 (step @p61 :rule reordering :premises (@p60) :args ((or @t74 @t72 @t73 @t75 (not @t76)))) % 65.65/65.82 (step @p62 :rule chain_m_resolution :premises (@p61 @p33 @p59 @p51 @p43) :args (@t75 @t77 (@list @t49 @t70 @t62 @t76))) % 65.65/65.82 (step @p63 :rule instantiate :premises (@p10) :args ((@list tptp.a @t51 tptp.multiplicative_identity))) % 65.65/65.82 (step @p64 :rule instantiate :premises (@p9) :args (@t65)) % 65.65/65.82 (step @p65 :rule cnf_or_pos :args (@t79)) % 65.65/65.82 (step @p66 :rule reordering :premises (@p65) :args ((or @t47 @t66 @t78 (not @t79)))) % 65.65/65.82 (step @p67 :rule chain_m_resolution :premises (@p66 @p31 @p27 @p64) :args (@t78 @t60 (@list @t47 @t43 @t79))) % 65.65/65.82 (step @p68 :rule cnf_or_pos :args (@t82)) % 65.65/65.82 (step @p69 :rule reordering :premises (@p68) :args ((or @t80 @t81 (not @t82)))) % 65.65/65.82 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p63) :args (@t81 @t64 (@list @t78 @t82))) % 65.65/65.82 (step @p71 :rule instantiate :premises (@p10) :args ((@list @t50 @t51 tptp.v))) % 65.65/65.82 (step @p72 :rule cnf_or_pos :args (@t85)) % 65.65/65.82 (step @p73 :rule reordering :premises (@p72) :args ((or @t83 @t84 (not @t85)))) % 65.65/65.82 (step @p74 :rule chain_m_resolution :premises (@p73 @p34 @p71) :args (@t84 @t64 (@list @t52 @t85))) % 65.65/65.82 (step @p75 :rule cnf_or_pos :args (@t90)) % 65.65/65.82 (step @p76 :rule reordering :premises (@p75) :args ((or @t87 @t86 @t89 @t88 (not @t90)))) % 65.65/65.82 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p70 @p62 @p42) :args (@t89 @t77 (@list @t84 @t81 @t75 @t90))) % 65.65/65.82 (step @p78 :rule cnf_or_pos :args (@t93)) % 65.65/65.82 (step @p79 :rule reordering :premises (@p78) :args ((or @t92 @t91 (not @t93)))) % 65.65/65.82 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p41) :args (@t92 @t64 (@list @t89 @t93))) % 65.65/65.82 (step @p81 :rule instantiate :premises (@p10) :args ((@list tptp.v tptp.multiplicative_identity tptp.v))) % 65.65/65.82 (step @p82 :rule instantiate :premises (@p8) :args ((@list tptp.v))) % 65.65/65.82 (step @p83 :rule cnf_or_pos :args (@t96)) % 65.65/65.82 (step @p84 :rule reordering :premises (@p83) :args ((or @t94 @t95 (not @t96)))) % 65.65/65.82 (step @p85 :rule chain_m_resolution :premises (@p84 @p30 @p82) :args (@t95 @t64 (@list @t46 @t96))) % 65.65/65.82 (step @p86 :rule cnf_or_pos :args (@t99)) % 65.65/65.82 (step @p87 :rule reordering :premises (@p86) :args ((or @t97 @t98 (not @t99)))) % 65.65/65.82 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p81) :args (@t98 @t64 (@list @t95 @t99))) % 65.65/65.82 (step @p89 :rule cnf_or_pos :args (@t104)) % 65.65/65.82 (step @p90 :rule reordering :premises (@p89) :args ((or @t54 @t100 @t102 @t103 (not @t104)))) % 65.65/65.82 (step @p91 :rule chain_m_resolution :premises (@p90 @p35 @p88 @p80 @p40) :args (@t102 (@list true false false false) (@list @t54 @t98 @t92 @t104))) % 65.65/65.82 (step @p92 :rule cnf_or_pos :args (@t107)) % 65.65/65.82 (step @p93 :rule reordering :premises (@p92) :args ((or @t106 @t101 (not @t107)))) % 65.65/65.82 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p39) :args (@t106 @t108 (@list @t101 @t107))) % 65.65/65.82 (step @p95 :rule cnf_or_pos :args (@t111)) % 65.65/65.82 (step @p96 :rule reordering :premises (@p95) :args ((or @t109 @t105 @t110 (not @t111)))) % 65.65/65.82 (step @p97 :rule chain_m_resolution :premises (@p96 @p29 @p94 @p38) :args (@t110 (@list false true false) (@list @t45 @t105 @t111))) % 65.65/65.82 (step @p98 :rule cnf_or_pos :args (@t114)) % 65.65/65.82 (step @p99 :rule reordering :premises (@p98) :args ((or @t112 @t113 (not @t114)))) % 65.65/65.82 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p37) :args (@t113 @t64 (@list @t110 @t114))) % 65.65/65.82 (step @p101 :rule instantiate :premises (@p10) :args ((@list tptp.u tptp.multiplicative_identity tptp.u))) % 65.65/65.82 (step @p102 :rule instantiate :premises (@p8) :args (@t55)) % 65.65/65.82 (step @p103 :rule cnf_or_pos :args (@t116)) % 65.65/65.82 (step @p104 :rule reordering :premises (@p103) :args ((or @t109 @t115 (not @t116)))) % 65.65/65.82 (step @p105 :rule chain_m_resolution :premises (@p104 @p29 @p102) :args (@t115 @t64 (@list @t45 @t116))) % 65.65/65.82 (step @p106 :rule cnf_or_pos :args (@t119)) % 65.65/65.82 (step @p107 :rule reordering :premises (@p106) :args ((or @t117 @t118 (not @t119)))) % 65.65/65.82 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p101) :args (@t118 @t64 (@list @t115 @t119))) % 65.65/65.82 (step @p109 :rule instantiate :premises (@p10) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 65.65/65.82 (step @p110 :rule instantiate :premises (@p8) :args ((@list tptp.additive_identity))) % 65.65/65.82 (step @p111 :rule cnf_or_pos :args (@t122)) % 65.65/65.82 (step @p112 :rule reordering :premises (@p111) :args ((or @t120 @t121 (not @t122)))) % 65.65/65.82 (step @p113 :rule chain_m_resolution :premises (@p112 @p14 @p110) :args (@t121 @t64 (@list @t37 @t122))) % 65.65/65.82 (step @p114 :rule cnf_or_pos :args (@t125)) % 65.65/65.82 (step @p115 :rule reordering :premises (@p114) :args ((or @t123 @t124 (not @t125)))) % 65.65/65.82 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p109) :args (@t124 @t64 (@list @t121 @t125))) % 65.65/65.82 (step @p117 :rule instantiate :premises (@p5) :args ((@list tptp.u tptp.additive_identity tptp.u))) % 65.65/65.82 (step @p118 :rule instantiate :premises (@p3) :args (@t55)) % 65.65/65.82 (step @p119 :rule cnf_or_pos :args (@t127)) % 65.65/65.82 (step @p120 :rule reordering :premises (@p119) :args ((or @t109 @t126 (not @t127)))) % 65.65/65.82 (step @p121 :rule chain_m_resolution :premises (@p120 @p29 @p118) :args (@t126 @t64 (@list @t45 @t127))) % 65.65/65.82 (step @p122 :rule cnf_or_pos :args (@t130)) % 65.65/65.82 (step @p123 :rule reordering :premises (@p122) :args ((or @t128 @t129 (not @t130)))) % 65.65/65.82 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p117) :args (@t129 @t64 (@list @t126 @t130))) % 65.65/65.82 (step @p125 :rule cnf_or_pos :args (@t136)) % 65.65/65.82 (step @p126 :rule reordering :premises (@p125) :args ((or @t134 @t132 @t133 @t131 @t135 (not @t136)))) % 65.65/65.82 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p116 @p108 @p100 @p36) :args (@t135 (@list false false false false false) (@list @t129 @t124 @t118 @t113 @t136))) % 65.65/65.82 (step @p128 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.a tptp.additive_identity))) % 65.65/65.82 (step @p129 :rule cnf_or_pos :args (@t139)) % 65.65/65.82 (step @p130 :rule reordering :premises (@p129) :args ((or @t47 @t138 (not @t139)))) % 65.65/65.82 (step @p131 :rule chain_m_resolution :premises (@p130 @p31 @p128) :args (@t138 @t108 (@list @t47 @t139))) % 65.65/65.82 (step @p132 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.additive_identity tptp.a))) % 65.65/65.82 (step @p133 :rule instantiate :premises (@p3) :args (@t65)) % 65.65/65.82 (step @p134 :rule cnf_or_pos :args (@t141)) % 65.65/65.82 (step @p135 :rule reordering :premises (@p134) :args ((or @t66 @t140 (not @t141)))) % 65.65/65.82 (step @p136 :rule chain_m_resolution :premises (@p135 @p27 @p133) :args (@t140 @t64 (@list @t43 @t141))) % 65.65/65.82 (step @p137 :rule cnf_or_pos :args (@t144)) % 65.65/65.82 (step @p138 :rule reordering :premises (@p137) :args ((or @t142 @t143 (not @t144)))) % 65.65/65.82 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p132) :args (@t143 @t64 (@list @t140 @t144))) % 65.65/65.82 (step @p140 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.additive_identity tptp.additive_identity tptp.a tptp.additive_identity tptp.u))) % 65.65/65.82 (step @p141 :rule cnf_or_pos :args (@t150)) % 65.65/65.82 (step @p142 :rule reordering :premises (@p141) :args ((or @t137 @t149 @t148 @t146 (not @t150)))) % 65.65/65.82 (step @p143 :rule instantiate :premises (@p3) :args (@t151)) % 65.65/65.82 (step @p144 :rule cnf_or_pos :args (@t154)) % 65.65/65.82 (step @p145 :rule reordering :premises (@p144) :args ((or @t152 @t153 (not @t154)))) % 65.65/65.82 (step @p146 :rule chain_m_resolution :premises (@p145 @p17 @p143) :args (@t153 @t64 (@list @t39 @t154))) % 65.65/65.82 (step @p147 :rule instantiate :premises (@p5) :args ((@list tptp.multiplicative_identity @t155 tptp.additive_identity))) % 65.65/65.82 (step @p148 :rule instantiate :premises (@p4) :args (@t151)) % 65.65/65.82 (step @p149 :rule cnf_or_pos :args (@t157)) % 65.65/65.82 (step @p150 :rule reordering :premises (@p149) :args ((or @t152 @t156 (not @t157)))) % 65.65/65.82 (step @p151 :rule chain_m_resolution :premises (@p150 @p17 @p148) :args (@t156 @t64 (@list @t39 @t157))) % 65.65/65.82 (step @p152 :rule cnf_or_pos :args (@t160)) % 65.65/65.82 (step @p153 :rule reordering :premises (@p152) :args ((or @t158 @t159 (not @t160)))) % 65.65/65.82 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p147) :args (@t159 @t64 (@list @t156 @t160))) % 65.65/65.82 (step @p155 :rule instantiate :premises (@p2) :args ((@list tptp.multiplicative_identity @t155 tptp.u tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 65.65/65.82 (step @p156 :rule cnf_or_pos :args (@t164)) % 65.65/65.82 (step @p157 :rule reordering :premises (@p156) :args ((or @t162 @t161 @t148 @t163 (not @t164)))) % 65.65/65.82 (step @p158 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.multiplicative_identity tptp.multiplicative_identity))) % 65.65/65.82 (step @p159 :rule instantiate :premises (@p11) :args ((@list tptp.multiplicative_identity tptp.a tptp.multiplicative_identity tptp.b tptp.additive_identity tptp.b @t50))) % 65.65/65.82 (step @p160 :rule instantiate :premises (@p7) :args ((@list tptp.additive_identity @t50 tptp.a tptp.a tptp.b tptp.multiplicative_identity))) % 65.65/65.82 (step @p161 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.b tptp.additive_identity))) % 65.65/65.82 (step @p162 :rule instantiate :premises (@p6) :args ((@list tptp.b tptp.a tptp.additive_identity tptp.a tptp.u tptp.multiplicative_identity))) % 65.65/65.82 (step @p163 :rule instantiate :premises (@p10) :args ((@list tptp.b tptp.a tptp.u))) % 65.65/65.82 (step @p164 :rule cnf_or_pos :args (@t166)) % 65.65/65.82 (step @p165 :rule reordering :premises (@p164) :args ((or @t74 @t165 (not @t166)))) % 65.65/65.82 (step @p166 :rule chain_m_resolution :premises (@p165 @p33 @p163) :args (@t165 @t64 (@list @t49 @t166))) % 65.65/65.82 (step @p167 :rule cnf_or_pos :args (@t170)) % 65.65/65.82 (step @p168 :rule reordering :premises (@p167) :args ((or @t168 @t72 @t169 @t167 (not @t170)))) % 65.65/65.82 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p59 @p127 @p162) :args (@t169 @t77 (@list @t165 @t70 @t135 @t170))) % 65.65/65.82 (step @p170 :rule cnf_or_pos :args (@t173)) % 65.65/65.82 (step @p171 :rule reordering :premises (@p170) :args ((or @t171 @t172 (not @t173)))) % 65.65/65.82 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p161) :args (@t172 @t64 (@list @t169 @t173))) % 65.65/65.82 (step @p173 :rule cnf_or_pos :args (@t176)) % 65.65/65.82 (step @p174 :rule reordering :premises (@p173) :args ((or @t72 @t73 @t174 @t175 (not @t176)))) % 65.65/65.82 (step @p175 :rule chain_m_resolution :premises (@p174 @p59 @p51 @p172 @p160) :args (@t175 @t77 (@list @t70 @t62 @t172 @t176))) % 65.65/65.82 (step @p176 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.additive_identity tptp.b))) % 65.65/65.82 (step @p177 :rule instantiate :premises (@p3) :args (@t56)) % 65.65/65.82 (step @p178 :rule cnf_or_pos :args (@t178)) % 65.65/65.82 (step @p179 :rule reordering :premises (@p178) :args ((or @t57 @t177 (not @t178)))) % 65.65/65.82 (step @p180 :rule chain_m_resolution :premises (@p179 @p28 @p177) :args (@t177 @t64 (@list @t44 @t178))) % 65.65/65.82 (step @p181 :rule cnf_or_pos :args (@t181)) % 65.65/65.82 (step @p182 :rule reordering :premises (@p181) :args ((or @t179 @t180 (not @t181)))) % 65.65/65.82 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p176) :args (@t180 @t64 (@list @t177 @t181))) % 65.65/65.82 (step @p184 :rule cnf_or_pos :args (@t185)) % 65.65/65.82 (step @p185 :rule factoring :premises (@p184)) % 65.65/65.82 (step @p186 :rule reordering :premises (@p185) :args ((or @t183 @t73 @t182 @t184 (not @t185)))) % 65.65/65.82 (step @p187 :rule chain_m_resolution :premises (@p186 @p183 @p51 @p175 @p159) :args (@t184 @t77 (@list @t180 @t62 @t175 @t185))) % 65.65/65.82 (step @p188 :rule cnf_or_pos :args (@t188)) % 65.65/65.82 (step @p189 :rule reordering :premises (@p188) :args ((or @t187 @t186 (not @t188)))) % 65.65/65.82 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p158) :args (@t187 @t64 (@list @t184 @t188))) % 65.65/65.82 (step @p191 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.u tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity @t155))) % 65.65/65.82 (step @p192 :rule cnf_or_pos :args (@t191)) % 65.65/65.82 (step @p193 :rule reordering :premises (@p192) :args ((or @t161 @t145 @t189 @t190 (not @t191)))) % 65.65/65.82 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p190 @p154 @p157 @p155 @p154 @p146 @p142 @p140 @p139 @p131) :args (@t148 (@list false false false false false false false true false false true) (@list @t191 @t187 @t159 @t163 @t164 @t159 @t153 @t145 @t150 @t143 @t137))) % 65.65/65.82 (step @p195 :rule cnf_or_pos :args (@t192)) % 65.65/65.82 (step @p196 :rule reordering :premises (@p195) :args ((or @t128 @t147 @t132 @t133 @t167 @t193))) % 65.65/65.82 (step @p197 :rule chain_m_resolution :premises (@p196 @p121 @p194 @p116 @p108 @p127) :args (@t193 (@list false true false false false) (@list @t126 @t147 @t124 @t118 @t135))) % 65.65/65.82 (assume-push @p204 @t33) % 65.65/65.82 (step @p199 :rule instantiate :premises (@p11) :args ((@list tptp.additive_identity tptp.additive_identity tptp.u tptp.additive_identity tptp.u tptp.u tptp.multiplicative_identity))) % 65.65/65.82 (step-pop @p205 :rule scope :premises (@p199)) % 65.65/65.82 (step @p200 :rule process_scope :premises (@p205) :args (@t192)) % 65.65/65.82 (step @p202 :rule implies_elim :premises (@p200)) % 65.65/65.82 (step @p203 false :rule chain_m_resolution :premises (@p202 @p197 @p11) :args (false @t108 (@list @t192 @t33))) % 65.65/65.82 ) % 65.65/65.82 % SZS output end Proof % 65.65/65.82 % cvc5 exiting %------------------------------------------------------------------------------