%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP124-9.004 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:19:51 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP124-9.004 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 00:52:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Unsatisfiable % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.product2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.product1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.e_1 $$unsorted) % 0.45/0.66 (declare-const tptp.e_2 $$unsorted) % 0.45/0.66 (declare-const tptp.e_3 $$unsorted) % 0.45/0.66 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.e_4 $$unsorted) % 0.45/0.66 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.66 (define @t3 () (not (tptp.group_element @t1))) % 0.45/0.66 (define @t4 () (not (tptp.group_element @t2))) % 0.45/0.66 (define @t5 () (@list @t2 @t1)) % 0.45/0.66 (define @t6 () (tptp.group_element tptp.e_1)) % 0.45/0.66 (define @t7 () (tptp.group_element tptp.e_2)) % 0.45/0.66 (define @t8 () (tptp.group_element tptp.e_3)) % 0.45/0.66 (define @t9 () (tptp.group_element tptp.e_4)) % 0.45/0.66 (define @t10 () (tptp.equalish tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t11 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.45/0.66 (define @t12 () (tptp.equalish tptp.e_1 tptp.e_4)) % 0.45/0.66 (define @t13 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.45/0.66 (define @t14 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.45/0.66 (define @t15 () (tptp.equalish tptp.e_3 tptp.e_1)) % 0.45/0.66 (define @t16 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.45/0.66 (define @t17 () (tptp.equalish tptp.e_3 tptp.e_4)) % 0.45/0.66 (define @t18 () (tptp.equalish tptp.e_4 tptp.e_1)) % 0.45/0.66 (define @t19 () (tptp.equalish tptp.e_4 tptp.e_2)) % 0.45/0.66 (define @t20 () (tptp.equalish tptp.e_4 tptp.e_3)) % 0.45/0.66 (define @t21 () (@var "Z" $$unsorted)) % 0.45/0.66 (define @t22 () (@var "W" $$unsorted)) % 0.45/0.66 (define @t23 () (tptp.equalish @t22 @t21)) % 0.45/0.66 (define @t24 () (@list @t2 @t1 @t22 @t21)) % 0.45/0.66 (define @t25 () (@list @t2 @t22 @t1 @t21)) % 0.45/0.66 (define @t26 () (@list @t22 @t1 @t2 @t21)) % 0.45/0.66 (define @t27 () (@list @t2)) % 0.45/0.66 (define @t28 () (@var "Z2" $$unsorted)) % 0.45/0.66 (define @t29 () (@var "Z1" $$unsorted)) % 0.45/0.66 (define @t30 () (@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_1)) % 0.45/0.66 (define @t31 () (@list tptp.e_3)) % 0.45/0.66 (define @t32 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_3)) % 0.45/0.66 (define @t33 () (not @t32)) % 0.45/0.66 (define @t34 () (tptp.product1 tptp.e_3 tptp.e_3 tptp.e_3)) % 0.45/0.66 (define @t35 () (not @t34)) % 0.45/0.66 (define @t36 () (or @t35 @t33 @t15)) % 0.45/0.66 (define @t37 () (@list true false false)) % 0.45/0.66 (define @t38 () (@list tptp.e_4 tptp.e_1 tptp.e_2 tptp.e_3)) % 0.45/0.66 (define @t39 () (@list tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_1)) % 0.45/0.66 (define @t40 () (@list tptp.e_4)) % 0.45/0.66 (define @t41 () (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_4)) % 0.45/0.66 (define @t42 () (not @t41)) % 0.45/0.66 (define @t43 () (tptp.product1 tptp.e_4 tptp.e_4 tptp.e_4)) % 0.45/0.66 (define @t44 () (not @t43)) % 0.45/0.66 (define @t45 () (or @t44 @t42 @t18)) % 0.45/0.66 (define @t46 () (tptp.product1 tptp.e_1 tptp.e_4 tptp.e_4)) % 0.45/0.66 (define @t47 () (not @t46)) % 0.45/0.66 (define @t48 () (or @t47 @t44 @t12)) % 0.45/0.66 (define @t49 () (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_4)) % 0.45/0.66 (define @t50 () (not @t49)) % 0.45/0.66 (define @t51 () (or @t44 @t50 @t20)) % 0.45/0.66 (define @t52 () (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_2)) % 0.45/0.66 (define @t53 () (not @t52)) % 0.45/0.66 (define @t54 () (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_2)) % 0.45/0.66 (define @t55 () (not @t54)) % 0.45/0.66 (define @t56 () (or @t55 @t53 @t12)) % 0.45/0.66 (define @t57 () (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t58 () (not @t57)) % 0.45/0.66 (define @t59 () (or @t58 @t53 @t11)) % 0.45/0.66 (define @t60 () (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_3)) % 0.45/0.66 (define @t61 () (not @t60)) % 0.45/0.66 (define @t62 () (or @t35 @t61 @t15)) % 0.45/0.66 (define @t63 () (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_1)) % 0.45/0.66 (define @t64 () (not @t63)) % 0.45/0.66 (define @t65 () (tptp.product1 tptp.e_1 tptp.e_1 tptp.e_1)) % 0.45/0.66 (define @t66 () (not @t65)) % 0.45/0.66 (define @t67 () (or @t66 @t64 @t11)) % 0.45/0.66 (define @t68 () (tptp.product1 tptp.e_1 tptp.e_3 tptp.e_4)) % 0.45/0.66 (define @t69 () (not @t8)) % 0.45/0.66 (define @t70 () (not @t6)) % 0.45/0.66 (define @t71 () (or @t70 @t69 @t63 @t54 @t60 @t68)) % 0.45/0.66 (define @t72 () (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_1)) % 0.45/0.66 (define @t73 () (not @t72)) % 0.45/0.66 (define @t74 () (or @t73 @t66 @t18)) % 0.45/0.66 (define @t75 () (tptp.product1 tptp.e_4 tptp.e_1 tptp.e_3)) % 0.45/0.66 (define @t76 () (not @t9)) % 0.45/0.66 (define @t77 () (or @t76 @t70 @t72 @t57 @t75 @t41)) % 0.45/0.66 (define @t78 () (tptp.product2 tptp.e_3 tptp.e_3 tptp.e_1)) % 0.45/0.66 (define @t79 () (not @t78)) % 0.45/0.66 (define @t80 () (tptp.product2 tptp.e_3 tptp.e_3 tptp.e_3)) % 0.45/0.66 (define @t81 () (not @t80)) % 0.45/0.66 (define @t82 () (or @t81 @t79 @t15)) % 0.45/0.66 (define @t83 () (not @t75)) % 0.45/0.66 (define @t84 () (not @t68)) % 0.45/0.66 (define @t85 () (or @t84 @t83 @t78)) % 0.45/0.66 (define @t86 () (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_3)) % 0.45/0.66 (define @t87 () (not @t86)) % 0.45/0.66 (define @t88 () (or @t87 @t35 @t20)) % 0.45/0.66 (define @t89 () (tptp.product1 tptp.e_4 tptp.e_3 tptp.e_1)) % 0.45/0.66 (define @t90 () (or @t76 @t69 @t89 @t52 @t86 @t49)) % 0.45/0.66 (define @t91 () (@list false false true true true false)) % 0.45/0.66 (define @t92 () (tptp.product2 tptp.e_3 tptp.e_3 tptp.e_4)) % 0.45/0.66 (define @t93 () (not @t92)) % 0.45/0.66 (define @t94 () (or @t93 @t81 @t20)) % 0.45/0.66 (define @t95 () (tptp.product1 tptp.e_1 tptp.e_4 tptp.e_3)) % 0.45/0.66 (define @t96 () (not @t95)) % 0.45/0.66 (define @t97 () (not @t89)) % 0.45/0.66 (define @t98 () (or @t97 @t96 @t92)) % 0.45/0.66 (define @t99 () (tptp.product1 tptp.e_1 tptp.e_4 tptp.e_1)) % 0.45/0.66 (define @t100 () (not @t99)) % 0.45/0.66 (define @t101 () (or @t66 @t100 @t12)) % 0.45/0.66 (define @t102 () (tptp.product1 tptp.e_1 tptp.e_4 tptp.e_2)) % 0.45/0.66 (define @t103 () (or @t70 @t76 @t99 @t102 @t95 @t46)) % 0.45/0.66 (define @t104 () (tptp.product2 tptp.e_4 tptp.e_4 tptp.e_1)) % 0.45/0.66 (define @t105 () (not @t104)) % 0.45/0.66 (define @t106 () (tptp.product2 tptp.e_4 tptp.e_4 tptp.e_4)) % 0.45/0.66 (define @t107 () (not @t106)) % 0.45/0.66 (define @t108 () (or @t107 @t105 @t18)) % 0.45/0.66 (define @t109 () (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_4)) % 0.45/0.66 (define @t110 () (not @t109)) % 0.45/0.66 (define @t111 () (not @t102)) % 0.45/0.66 (define @t112 () (or @t111 @t110 @t104)) % 0.45/0.66 (define @t113 () (@list tptp.e_2)) % 0.45/0.66 (define @t114 () (tptp.product1 tptp.e_2 tptp.e_2 tptp.e_2)) % 0.45/0.66 (define @t115 () (not @t114)) % 0.45/0.66 (define @t116 () (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t117 () (not @t116)) % 0.45/0.66 (define @t118 () (or @t117 @t115 @t10)) % 0.45/0.66 (define @t119 () (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_1)) % 0.45/0.66 (define @t120 () (not @t119)) % 0.45/0.66 (define @t121 () (or @t120 @t66 @t13)) % 0.45/0.66 (define @t122 () (tptp.product1 tptp.e_2 tptp.e_1 tptp.e_3)) % 0.45/0.66 (define @t123 () (not @t7)) % 0.45/0.66 (define @t124 () (or @t123 @t70 @t119 @t116 @t122 @t109)) % 0.45/0.66 (define @t125 () (not @t122)) % 0.45/0.66 (define @t126 () (or @t83 @t125 @t19)) % 0.45/0.66 (define @t127 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_2)) % 0.45/0.66 (define @t128 () (not @t127)) % 0.45/0.66 (define @t129 () (or @t58 @t128 @t20)) % 0.45/0.66 (define @t130 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_1)) % 0.45/0.66 (define @t131 () (not @t130)) % 0.45/0.66 (define @t132 () (or @t131 @t66 @t15)) % 0.45/0.66 (define @t133 () (tptp.product1 tptp.e_3 tptp.e_1 tptp.e_4)) % 0.45/0.66 (define @t134 () (or @t69 @t70 @t130 @t127 @t32 @t133)) % 0.45/0.66 (define @t135 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_4)) % 0.45/0.66 (define @t136 () (not @t135)) % 0.45/0.66 (define @t137 () (not @t133)) % 0.45/0.66 (define @t138 () (or @t137 @t136 @t10)) % 0.45/0.66 (define @t139 () (tptp.product2 tptp.e_3 tptp.e_2 tptp.e_3)) % 0.45/0.66 (define @t140 () (not @t139)) % 0.45/0.66 (define @t141 () (or @t81 @t140 @t16)) % 0.45/0.66 (define @t142 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_3)) % 0.45/0.66 (define @t143 () (not @t142)) % 0.45/0.66 (define @t144 () (or @t143 @t35 @t139)) % 0.45/0.66 (define @t145 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_2)) % 0.45/0.66 (define @t146 () (not @t145)) % 0.45/0.66 (define @t147 () (or @t115 @t146 @t14)) % 0.45/0.66 (define @t148 () (tptp.product1 tptp.e_3 tptp.e_2 tptp.e_1)) % 0.45/0.66 (define @t149 () (or @t69 @t123 @t148 @t145 @t142 @t135)) % 0.45/0.66 (define @t150 () (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_4)) % 0.45/0.66 (define @t151 () (not @t150)) % 0.45/0.66 (define @t152 () (or @t44 @t151 @t19)) % 0.45/0.66 (define @t153 () (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_1)) % 0.45/0.66 (define @t154 () (not @t153)) % 0.45/0.66 (define @t155 () (tptp.product2 tptp.e_2 tptp.e_2 tptp.e_2)) % 0.45/0.66 (define @t156 () (not @t155)) % 0.45/0.66 (define @t157 () (or @t156 @t154 @t13)) % 0.45/0.66 (define @t158 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_4)) % 0.45/0.66 (define @t159 () (not @t158)) % 0.45/0.66 (define @t160 () (or @t159 @t58 @t153)) % 0.45/0.66 (define @t161 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_2)) % 0.45/0.66 (define @t162 () (not @t161)) % 0.45/0.66 (define @t163 () (or @t162 @t115 @t10)) % 0.45/0.66 (define @t164 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_1)) % 0.45/0.66 (define @t165 () (not @t164)) % 0.45/0.66 (define @t166 () (or @t66 @t165 @t10)) % 0.45/0.66 (define @t167 () (tptp.product1 tptp.e_1 tptp.e_2 tptp.e_3)) % 0.45/0.66 (define @t168 () (or @t70 @t123 @t164 @t161 @t167 @t158)) % 0.45/0.66 (define @t169 () (not @t167)) % 0.45/0.66 (define @t170 () (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_3)) % 0.45/0.66 (define @t171 () (not @t170)) % 0.45/0.66 (define @t172 () (or @t171 @t169 @t18)) % 0.45/0.66 (define @t173 () (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_2)) % 0.45/0.66 (define @t174 () (not @t173)) % 0.45/0.66 (define @t175 () (or @t174 @t115 @t19)) % 0.45/0.66 (define @t176 () (tptp.product1 tptp.e_4 tptp.e_2 tptp.e_1)) % 0.45/0.66 (define @t177 () (or @t76 @t123 @t176 @t173 @t170 @t150)) % 0.45/0.66 (define @t178 () (not @t176)) % 0.45/0.66 (define @t179 () (not @t148)) % 0.45/0.66 (define @t180 () (or @t179 @t178 @t17)) % 0.45/0.66 (assume @p1 (forall @t5 (or @t4 @t3 (tptp.product tptp.e_1 @t2 @t1) (tptp.product tptp.e_2 @t2 @t1) (tptp.product tptp.e_3 @t2 @t1) (tptp.product tptp.e_4 @t2 @t1)))) % 0.45/0.66 (assume @p2 (forall @t5 (or @t4 @t3 (tptp.product @t2 tptp.e_1 @t1) (tptp.product @t2 tptp.e_2 @t1) (tptp.product @t2 tptp.e_3 @t1) (tptp.product @t2 tptp.e_4 @t1)))) % 0.45/0.66 (assume @p3 @t6) % 0.45/0.66 (assume @p4 @t7) % 0.45/0.66 (assume @p5 @t8) % 0.45/0.66 (assume @p6 @t9) % 0.45/0.66 (assume @p7 (not @t10)) % 0.45/0.66 (assume @p8 (not @t11)) % 0.45/0.66 (assume @p9 (not @t12)) % 0.45/0.66 (assume @p10 (not @t13)) % 0.45/0.66 (assume @p11 (not @t14)) % 0.45/0.66 (assume @p12 (not (tptp.equalish tptp.e_2 tptp.e_4))) % 0.45/0.66 (assume @p13 (not @t15)) % 0.45/0.66 (assume @p14 (not @t16)) % 0.45/0.66 (assume @p15 (not @t17)) % 0.45/0.66 (assume @p16 (not @t18)) % 0.45/0.66 (assume @p17 (not @t19)) % 0.45/0.66 (assume @p18 (not @t20)) % 0.45/0.66 (assume @p19 (forall @t5 (or @t4 @t3 (tptp.product1 @t2 @t1 tptp.e_1) (tptp.product1 @t2 @t1 tptp.e_2) (tptp.product1 @t2 @t1 tptp.e_3) (tptp.product1 @t2 @t1 tptp.e_4)))) % 0.45/0.66 (assume @p20 (forall @t24 (or (not (tptp.product1 @t2 @t1 @t22)) (not (tptp.product1 @t2 @t1 @t21)) @t23))) % 0.45/0.66 (assume @p21 (forall @t25 (or (not (tptp.product1 @t2 @t22 @t1)) (not (tptp.product1 @t2 @t21 @t1)) @t23))) % 0.45/0.66 (assume @p22 (forall @t26 (or (not (tptp.product1 @t22 @t1 @t2)) (not (tptp.product1 @t21 @t1 @t2)) @t23))) % 0.45/0.66 (assume @p23 (forall @t27 (tptp.product1 @t2 @t2 @t2))) % 0.45/0.66 (assume @p24 (forall @t5 (or @t4 @t3 (tptp.product2 @t2 @t1 tptp.e_1) (tptp.product2 @t2 @t1 tptp.e_2) (tptp.product2 @t2 @t1 tptp.e_3) (tptp.product2 @t2 @t1 tptp.e_4)))) % 0.45/0.66 (assume @p25 (forall @t24 (or (not (tptp.product2 @t2 @t1 @t22)) (not (tptp.product2 @t2 @t1 @t21)) @t23))) % 0.45/0.66 (assume @p26 (forall @t25 (or (not (tptp.product2 @t2 @t22 @t1)) (not (tptp.product2 @t2 @t21 @t1)) @t23))) % 0.45/0.66 (assume @p27 (forall @t26 (or (not (tptp.product2 @t22 @t1 @t2)) (not (tptp.product2 @t21 @t1 @t2)) @t23))) % 0.45/0.66 (assume @p28 (forall @t27 (tptp.product2 @t2 @t2 @t2))) % 0.45/0.66 (assume @p29 (forall (@list @t2 @t1 @t29 @t28) (or (not (tptp.product1 @t2 @t1 @t29)) (not (tptp.product1 @t29 @t2 @t28)) (tptp.product2 @t28 @t1 @t2)))) % 0.45/0.66 (step @p30 :rule instantiate :premises (@p22) :args ((@list tptp.e_3 tptp.e_2 tptp.e_1 tptp.e_4))) % 0.45/0.66 (step @p31 :rule instantiate :premises (@p19) :args ((@list tptp.e_3 tptp.e_2))) % 0.45/0.66 (step @p32 :rule instantiate :premises (@p21) :args ((@list tptp.e_3 tptp.e_1 tptp.e_4 tptp.e_2))) % 0.45/0.66 (step @p33 :rule instantiate :premises (@p19) :args ((@list tptp.e_3 tptp.e_1))) % 0.45/0.66 (step @p34 :rule instantiate :premises (@p21) :args (@t30)) % 0.45/0.66 (step @p35 :rule instantiate :premises (@p23) :args (@t31)) % 0.45/0.66 (step @p36 :rule cnf_or_pos :args (@t36)) % 0.45/0.66 (step @p37 :rule reordering :premises (@p36) :args ((or @t15 @t35 @t33 (not @t36)))) % 0.45/0.66 (step @p38 :rule chain_m_resolution :premises (@p37 @p13 @p35 @p34) :args (@t33 @t37 (@list @t15 @t34 @t36))) % 0.45/0.66 (step @p39 :rule instantiate :premises (@p22) :args (@t38)) % 0.45/0.66 (step @p40 :rule instantiate :premises (@p19) :args ((@list tptp.e_4 tptp.e_1))) % 0.45/0.66 (step @p41 :rule instantiate :premises (@p21) :args (@t39)) % 0.45/0.66 (step @p42 :rule instantiate :premises (@p23) :args (@t40)) % 0.45/0.66 (step @p43 :rule cnf_or_pos :args (@t45)) % 0.45/0.66 (step @p44 :rule reordering :premises (@p43) :args ((or @t18 @t44 @t42 (not @t45)))) % 0.45/0.66 (step @p45 :rule chain_m_resolution :premises (@p44 @p16 @p42 @p41) :args (@t42 @t37 (@list @t18 @t43 @t45))) % 0.45/0.66 (step @p46 :rule instantiate :premises (@p22) :args ((@list tptp.e_4 tptp.e_1 tptp.e_3 tptp.e_2))) % 0.45/0.66 (step @p47 :rule instantiate :premises (@p19) :args ((@list tptp.e_2 tptp.e_1))) % 0.45/0.66 (step @p48 :rule instantiate :premises (@p29) :args ((@list tptp.e_1 tptp.e_4 tptp.e_2 tptp.e_4))) % 0.45/0.66 (step @p49 :rule instantiate :premises (@p19) :args ((@list tptp.e_1 tptp.e_4))) % 0.45/0.66 (step @p50 :rule instantiate :premises (@p22) :args ((@list tptp.e_1 tptp.e_4 tptp.e_4 tptp.e_4))) % 0.45/0.66 (step @p51 :rule cnf_or_pos :args (@t48)) % 0.45/0.66 (step @p52 :rule reordering :premises (@p51) :args ((or @t12 @t44 @t47 (not @t48)))) % 0.45/0.66 (step @p53 :rule chain_m_resolution :premises (@p52 @p9 @p42 @p50) :args (@t47 @t37 (@list @t12 @t43 @t48))) % 0.45/0.66 (step @p54 :rule instantiate :premises (@p29) :args ((@list tptp.e_4 tptp.e_3 tptp.e_1 tptp.e_3))) % 0.45/0.66 (step @p55 :rule instantiate :premises (@p19) :args ((@list tptp.e_4 tptp.e_3))) % 0.45/0.66 (step @p56 :rule instantiate :premises (@p21) :args ((@list tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_3))) % 0.45/0.66 (step @p57 :rule cnf_or_pos :args (@t51)) % 0.45/0.66 (step @p58 :rule reordering :premises (@p57) :args ((or @t20 @t44 @t50 (not @t51)))) % 0.45/0.66 (step @p59 :rule chain_m_resolution :premises (@p58 @p18 @p42 @p56) :args (@t50 @t37 (@list @t20 @t43 @t51))) % 0.45/0.66 (step @p60 :rule instantiate :premises (@p22) :args ((@list tptp.e_1 tptp.e_3 tptp.e_2 tptp.e_4))) % 0.45/0.66 (step @p61 :rule cnf_or_pos :args (@t56)) % 0.45/0.66 (step @p62 :rule reordering :premises (@p61) :args ((or @t12 @t55 @t53 (not @t56)))) % 0.45/0.66 (step @p63 :rule instantiate :premises (@p21) :args (@t38)) % 0.45/0.66 (step @p64 :rule cnf_or_pos :args (@t59)) % 0.45/0.66 (step @p65 :rule reordering :premises (@p64) :args ((or @t11 @t58 @t53 (not @t59)))) % 0.45/0.66 (step @p66 :rule instantiate :premises (@p19) :args ((@list tptp.e_1 tptp.e_3))) % 0.45/0.66 (step @p67 :rule instantiate :premises (@p22) :args (@t30)) % 0.45/0.66 (step @p68 :rule cnf_or_pos :args (@t62)) % 0.45/0.66 (step @p69 :rule reordering :premises (@p68) :args ((or @t15 @t35 @t61 (not @t62)))) % 0.45/0.66 (step @p70 :rule chain_m_resolution :premises (@p69 @p13 @p35 @p67) :args (@t61 @t37 (@list @t15 @t34 @t62))) % 0.45/0.66 (step @p71 :rule instantiate :premises (@p21) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3))) % 0.45/0.66 (step @p72 :rule instantiate :premises (@p23) :args ((@list tptp.e_1))) % 0.45/0.66 (step @p73 :rule cnf_or_pos :args (@t67)) % 0.45/0.66 (step @p74 :rule reordering :premises (@p73) :args ((or @t11 @t66 @t64 (not @t67)))) % 0.45/0.66 (step @p75 :rule chain_m_resolution :premises (@p74 @p8 @p72 @p71) :args (@t64 @t37 (@list @t11 @t65 @t67))) % 0.45/0.66 (step @p76 :rule cnf_or_pos :args (@t71)) % 0.45/0.66 (step @p77 :rule reordering :premises (@p76) :args ((or @t70 @t69 @t63 @t54 @t60 @t68 (not @t71)))) % 0.45/0.66 (step @p78 :rule instantiate :premises (@p22) :args ((@list tptp.e_4 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.45/0.66 (step @p79 :rule cnf_or_pos :args (@t74)) % 0.45/0.66 (step @p80 :rule reordering :premises (@p79) :args ((or @t18 @t66 @t73 (not @t74)))) % 0.45/0.66 (step @p81 :rule chain_m_resolution :premises (@p80 @p16 @p72 @p78) :args (@t73 @t37 (@list @t18 @t65 @t74))) % 0.45/0.66 (step @p82 :rule cnf_or_pos :args (@t77)) % 0.45/0.66 (step @p83 :rule reordering :premises (@p82) :args ((or @t70 @t76 @t72 @t57 @t75 @t41 (not @t77)))) % 0.45/0.66 (step @p84 :rule instantiate :premises (@p25) :args (@t30)) % 0.45/0.66 (step @p85 :rule instantiate :premises (@p28) :args (@t31)) % 0.45/0.66 (step @p86 :rule cnf_or_pos :args (@t82)) % 0.45/0.66 (step @p87 :rule reordering :premises (@p86) :args ((or @t15 @t79 @t81 (not @t82)))) % 0.45/0.66 (step @p88 :rule chain_m_resolution :premises (@p87 @p13 @p85 @p84) :args (@t79 @t37 (@list @t15 @t80 @t82))) % 0.45/0.66 (step @p89 :rule instantiate :premises (@p29) :args ((@list tptp.e_1 tptp.e_3 tptp.e_4 tptp.e_3))) % 0.45/0.66 (step @p90 :rule cnf_or_pos :args (@t85)) % 0.45/0.66 (step @p91 :rule reordering :premises (@p90) :args ((or @t78 @t84 @t83 (not @t85)))) % 0.45/0.66 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p88 @p83 @p81 @p45 @p40 @p6 @p3 @p77 @p75 @p70 @p66 @p5 @p3 @p65 @p63 @p8 @p62 @p60 @p9) :args (@t53 (@list false true false true true false false false false true true false false false true false true true false true) (@list @t85 @t78 @t75 @t72 @t41 @t77 @t9 @t6 @t68 @t63 @t60 @t71 @t8 @t6 @t57 @t59 @t11 @t54 @t56 @t12))) % 0.45/0.66 (step @p93 :rule instantiate :premises (@p22) :args ((@list tptp.e_4 tptp.e_3 tptp.e_3 tptp.e_3))) % 0.45/0.66 (step @p94 :rule cnf_or_pos :args (@t88)) % 0.45/0.66 (step @p95 :rule reordering :premises (@p94) :args ((or @t20 @t35 @t87 (not @t88)))) % 0.45/0.66 (step @p96 :rule chain_m_resolution :premises (@p95 @p18 @p35 @p93) :args (@t87 @t37 (@list @t20 @t34 @t88))) % 0.45/0.66 (step @p97 :rule cnf_or_pos :args (@t90)) % 0.45/0.66 (step @p98 :rule reordering :premises (@p97) :args ((or @t69 @t76 @t86 @t89 @t52 @t49 (not @t90)))) % 0.45/0.66 (step @p99 :rule chain_m_resolution :premises (@p98 @p5 @p6 @p96 @p92 @p59 @p55) :args (@t89 @t91 (@list @t8 @t9 @t86 @t52 @t49 @t90))) % 0.45/0.66 (step @p100 :rule instantiate :premises (@p25) :args ((@list tptp.e_3 tptp.e_3 tptp.e_4 tptp.e_3))) % 0.45/0.66 (step @p101 :rule cnf_or_pos :args (@t94)) % 0.45/0.66 (step @p102 :rule reordering :premises (@p101) :args ((or @t20 @t81 @t93 (not @t94)))) % 0.45/0.66 (step @p103 :rule chain_m_resolution :premises (@p102 @p18 @p85 @p100) :args (@t93 @t37 (@list @t20 @t80 @t94))) % 0.45/0.66 (step @p104 :rule cnf_or_pos :args (@t98)) % 0.45/0.66 (step @p105 :rule reordering :premises (@p104) :args ((or @t92 @t96 @t97 (not @t98)))) % 0.45/0.66 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p99 @p54) :args (@t96 @t37 (@list @t92 @t89 @t98))) % 0.45/0.66 (step @p107 :rule instantiate :premises (@p21) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4))) % 0.45/0.66 (step @p108 :rule cnf_or_pos :args (@t101)) % 0.45/0.66 (step @p109 :rule reordering :premises (@p108) :args ((or @t12 @t66 @t100 (not @t101)))) % 0.45/0.66 (step @p110 :rule chain_m_resolution :premises (@p109 @p9 @p72 @p107) :args (@t100 @t37 (@list @t12 @t65 @t101))) % 0.45/0.66 (step @p111 :rule cnf_or_pos :args (@t103)) % 0.45/0.66 (step @p112 :rule reordering :premises (@p111) :args ((or @t70 @t76 @t99 @t102 @t95 @t46 (not @t103)))) % 0.45/0.66 (step @p113 :rule chain_m_resolution :premises (@p112 @p3 @p6 @p110 @p106 @p53 @p49) :args (@t102 @t91 (@list @t6 @t9 @t99 @t95 @t46 @t103))) % 0.45/0.66 (step @p114 :rule instantiate :premises (@p25) :args (@t39)) % 0.45/0.66 (step @p115 :rule instantiate :premises (@p28) :args (@t40)) % 0.45/0.66 (step @p116 :rule cnf_or_pos :args (@t108)) % 0.45/0.66 (step @p117 :rule reordering :premises (@p116) :args ((or @t18 @t105 @t107 (not @t108)))) % 0.45/0.66 (step @p118 :rule chain_m_resolution :premises (@p117 @p16 @p115 @p114) :args (@t105 @t37 (@list @t18 @t106 @t108))) % 0.45/0.66 (step @p119 :rule cnf_or_pos :args (@t112)) % 0.45/0.66 (step @p120 :rule reordering :premises (@p119) :args ((or @t104 @t110 @t111 (not @t112)))) % 0.45/0.66 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p113 @p48) :args (@t110 @t37 (@list @t104 @t102 @t112))) % 0.45/0.66 (step @p122 :rule instantiate :premises (@p21) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.45/0.66 (step @p123 :rule instantiate :premises (@p23) :args (@t113)) % 0.45/0.66 (step @p124 :rule cnf_or_pos :args (@t118)) % 0.45/0.66 (step @p125 :rule reordering :premises (@p124) :args ((or @t10 @t117 @t115 (not @t118)))) % 0.45/0.66 (step @p126 :rule chain_m_resolution :premises (@p125 @p7 @p123 @p122) :args (@t117 @t37 (@list @t10 @t114 @t118))) % 0.45/0.66 (step @p127 :rule instantiate :premises (@p22) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.45/0.66 (step @p128 :rule cnf_or_pos :args (@t121)) % 0.45/0.66 (step @p129 :rule reordering :premises (@p128) :args ((or @t13 @t66 @t120 (not @t121)))) % 0.45/0.66 (step @p130 :rule chain_m_resolution :premises (@p129 @p10 @p72 @p127) :args (@t120 @t37 (@list @t13 @t65 @t121))) % 0.45/0.66 (step @p131 :rule cnf_or_pos :args (@t124)) % 0.45/0.66 (step @p132 :rule reordering :premises (@p131) :args ((or @t70 @t123 @t119 @t116 @t122 @t109 (not @t124)))) % 0.45/0.66 (step @p133 :rule chain_m_resolution :premises (@p132 @p3 @p4 @p130 @p126 @p121 @p47) :args (@t122 @t91 (@list @t6 @t7 @t119 @t116 @t109 @t124))) % 0.45/0.66 (step @p134 :rule cnf_or_pos :args (@t126)) % 0.45/0.66 (step @p135 :rule reordering :premises (@p134) :args ((or @t19 @t125 @t83 (not @t126)))) % 0.45/0.66 (step @p136 :rule chain_m_resolution :premises (@p135 @p17 @p133 @p46) :args (@t83 @t37 (@list @t19 @t122 @t126))) % 0.45/0.66 (step @p137 :rule chain_m_resolution :premises (@p83 @p3 @p6 @p81 @p136 @p45 @p40) :args (@t57 @t91 (@list @t6 @t9 @t72 @t75 @t41 @t77))) % 0.45/0.66 (step @p138 :rule cnf_or_pos :args (@t129)) % 0.45/0.66 (step @p139 :rule reordering :premises (@p138) :args ((or @t20 @t128 @t58 (not @t129)))) % 0.45/0.66 (step @p140 :rule chain_m_resolution :premises (@p139 @p18 @p137 @p39) :args (@t128 @t37 (@list @t20 @t57 @t129))) % 0.45/0.66 (step @p141 :rule instantiate :premises (@p22) :args ((@list tptp.e_3 tptp.e_1 tptp.e_1 tptp.e_1))) % 0.45/0.66 (step @p142 :rule cnf_or_pos :args (@t132)) % 0.45/0.66 (step @p143 :rule reordering :premises (@p142) :args ((or @t15 @t66 @t131 (not @t132)))) % 0.45/0.66 (step @p144 :rule chain_m_resolution :premises (@p143 @p13 @p72 @p141) :args (@t131 @t37 (@list @t15 @t65 @t132))) % 0.45/0.66 (step @p145 :rule cnf_or_pos :args (@t134)) % 0.45/0.66 (step @p146 :rule reordering :premises (@p145) :args ((or @t70 @t69 @t130 @t127 @t32 @t133 (not @t134)))) % 0.45/0.66 (step @p147 :rule chain_m_resolution :premises (@p146 @p3 @p5 @p144 @p140 @p38 @p33) :args (@t133 @t91 (@list @t6 @t8 @t130 @t127 @t32 @t134))) % 0.45/0.66 (step @p148 :rule cnf_or_pos :args (@t138)) % 0.45/0.66 (step @p149 :rule reordering :premises (@p148) :args ((or @t10 @t137 @t136 (not @t138)))) % 0.45/0.66 (step @p150 :rule chain_m_resolution :premises (@p149 @p7 @p147 @p32) :args (@t136 @t37 (@list @t10 @t133 @t138))) % 0.45/0.66 (step @p151 :rule instantiate :premises (@p29) :args ((@list tptp.e_3 tptp.e_2 tptp.e_3 tptp.e_3))) % 0.45/0.66 (step @p152 :rule instantiate :premises (@p26) :args ((@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_2))) % 0.45/0.66 (step @p153 :rule cnf_or_pos :args (@t141)) % 0.45/0.66 (step @p154 :rule reordering :premises (@p153) :args ((or @t16 @t81 @t140 (not @t141)))) % 0.45/0.66 (step @p155 :rule chain_m_resolution :premises (@p154 @p14 @p85 @p152) :args (@t140 @t37 (@list @t16 @t80 @t141))) % 0.45/0.66 (step @p156 :rule cnf_or_pos :args (@t144)) % 0.45/0.66 (step @p157 :rule reordering :premises (@p156) :args ((or @t35 @t139 @t143 (not @t144)))) % 0.45/0.66 (step @p158 :rule chain_m_resolution :premises (@p157 @p35 @p155 @p151) :args (@t143 (@list false true false) (@list @t34 @t139 @t144))) % 0.45/0.66 (step @p159 :rule instantiate :premises (@p22) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.45/0.66 (step @p160 :rule cnf_or_pos :args (@t147)) % 0.45/0.66 (step @p161 :rule reordering :premises (@p160) :args ((or @t14 @t115 @t146 (not @t147)))) % 0.45/0.66 (step @p162 :rule chain_m_resolution :premises (@p161 @p11 @p123 @p159) :args (@t146 @t37 (@list @t14 @t114 @t147))) % 0.45/0.66 (step @p163 :rule cnf_or_pos :args (@t149)) % 0.45/0.66 (step @p164 :rule reordering :premises (@p163) :args ((or @t123 @t69 @t148 @t145 @t142 @t135 (not @t149)))) % 0.45/0.66 (step @p165 :rule chain_m_resolution :premises (@p164 @p4 @p5 @p162 @p158 @p150 @p31) :args (@t148 @t91 (@list @t7 @t8 @t145 @t142 @t135 @t149))) % 0.45/0.66 (step @p166 :rule instantiate :premises (@p19) :args ((@list tptp.e_4 tptp.e_2))) % 0.45/0.66 (step @p167 :rule instantiate :premises (@p21) :args ((@list tptp.e_4 tptp.e_4 tptp.e_4 tptp.e_2))) % 0.45/0.66 (step @p168 :rule cnf_or_pos :args (@t152)) % 0.45/0.66 (step @p169 :rule reordering :premises (@p168) :args ((or @t19 @t44 @t151 (not @t152)))) % 0.45/0.66 (step @p170 :rule chain_m_resolution :premises (@p169 @p17 @p42 @p167) :args (@t151 @t37 (@list @t19 @t43 @t152))) % 0.45/0.66 (step @p171 :rule instantiate :premises (@p22) :args ((@list tptp.e_4 tptp.e_2 tptp.e_3 tptp.e_1))) % 0.45/0.66 (step @p172 :rule instantiate :premises (@p19) :args ((@list tptp.e_1 tptp.e_2))) % 0.45/0.66 (step @p173 :rule instantiate :premises (@p29) :args ((@list tptp.e_1 tptp.e_2 tptp.e_4 tptp.e_2))) % 0.45/0.66 (step @p174 :rule instantiate :premises (@p25) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_1))) % 0.45/0.66 (step @p175 :rule instantiate :premises (@p28) :args (@t113)) % 0.45/0.66 (step @p176 :rule cnf_or_pos :args (@t157)) % 0.45/0.66 (step @p177 :rule reordering :premises (@p176) :args ((or @t13 @t156 @t154 (not @t157)))) % 0.45/0.66 (step @p178 :rule chain_m_resolution :premises (@p177 @p10 @p175 @p174) :args (@t154 @t37 (@list @t13 @t155 @t157))) % 0.45/0.66 (step @p179 :rule cnf_or_pos :args (@t160)) % 0.45/0.66 (step @p180 :rule reordering :premises (@p179) :args ((or @t159 @t153 @t58 (not @t160)))) % 0.45/0.66 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p137 @p173) :args (@t159 @t37 (@list @t153 @t57 @t160))) % 0.45/0.66 (step @p182 :rule instantiate :premises (@p22) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.45/0.66 (step @p183 :rule cnf_or_pos :args (@t163)) % 0.45/0.66 (step @p184 :rule reordering :premises (@p183) :args ((or @t10 @t162 @t115 (not @t163)))) % 0.45/0.66 (step @p185 :rule chain_m_resolution :premises (@p184 @p7 @p123 @p182) :args (@t162 @t37 (@list @t10 @t114 @t163))) % 0.45/0.66 (step @p186 :rule instantiate :premises (@p21) :args ((@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_2))) % 0.45/0.66 (step @p187 :rule cnf_or_pos :args (@t166)) % 0.45/0.66 (step @p188 :rule reordering :premises (@p187) :args ((or @t10 @t66 @t165 (not @t166)))) % 0.45/0.66 (step @p189 :rule chain_m_resolution :premises (@p188 @p7 @p72 @p186) :args (@t165 @t37 (@list @t10 @t65 @t166))) % 0.45/0.66 (step @p190 :rule cnf_or_pos :args (@t168)) % 0.45/0.66 (step @p191 :rule reordering :premises (@p190) :args ((or @t70 @t123 @t164 @t161 @t167 @t158 (not @t168)))) % 0.45/0.66 (step @p192 :rule chain_m_resolution :premises (@p191 @p3 @p4 @p189 @p185 @p181 @p172) :args (@t167 @t91 (@list @t6 @t7 @t164 @t161 @t158 @t168))) % 0.45/0.66 (step @p193 :rule cnf_or_pos :args (@t172)) % 0.45/0.66 (step @p194 :rule reordering :premises (@p193) :args ((or @t18 @t169 @t171 (not @t172)))) % 0.45/0.66 (step @p195 :rule chain_m_resolution :premises (@p194 @p16 @p192 @p171) :args (@t171 @t37 (@list @t18 @t167 @t172))) % 0.45/0.66 (step @p196 :rule instantiate :premises (@p22) :args ((@list tptp.e_4 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.45/0.66 (step @p197 :rule cnf_or_pos :args (@t175)) % 0.45/0.66 (step @p198 :rule reordering :premises (@p197) :args ((or @t19 @t115 @t174 (not @t175)))) % 0.45/0.66 (step @p199 :rule chain_m_resolution :premises (@p198 @p17 @p123 @p196) :args (@t174 @t37 (@list @t19 @t114 @t175))) % 0.45/0.66 (step @p200 :rule cnf_or_pos :args (@t177)) % 0.45/0.66 (step @p201 :rule reordering :premises (@p200) :args ((or @t123 @t76 @t176 @t173 @t170 @t150 (not @t177)))) % 0.45/0.66 (step @p202 :rule chain_m_resolution :premises (@p201 @p4 @p6 @p199 @p195 @p170 @p166) :args (@t176 @t91 (@list @t7 @t9 @t173 @t170 @t150 @t177))) % 0.45/0.66 (step @p203 :rule cnf_or_pos :args (@t180)) % 0.45/0.66 (step @p204 :rule reordering :premises (@p203) :args ((or @t17 @t179 @t178 (not @t180)))) % 0.45/0.66 (step @p205 false :rule chain_m_resolution :premises (@p204 @p202 @p165 @p30 @p15) :args (false (@list false false false true) (@list @t176 @t148 @t180 @t17))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.66 % cvc5 exiting %------------------------------------------------------------------------------