%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP127-4.004 : 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 : n027.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 08:19:54 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP127-4.004 : 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 % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 00:53:06 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Unsatisfiable % 0.46/0.64 % SZS output start Proof % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-const tptp.group_element (-> $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.e_1 $$unsorted) % 0.46/0.65 (declare-const tptp.e_2 $$unsorted) % 0.46/0.65 (declare-const tptp.e_3 $$unsorted) % 0.46/0.65 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.e_4 $$unsorted) % 0.46/0.65 (define @t1 () (@var "Y" $$unsorted)) % 0.46/0.65 (define @t2 () (@var "X" $$unsorted)) % 0.46/0.65 (define @t3 () (not (tptp.group_element @t1))) % 0.46/0.65 (define @t4 () (not (tptp.group_element @t2))) % 0.46/0.65 (define @t5 () (@list @t2 @t1)) % 0.46/0.65 (define @t6 () (@var "Z2" $$unsorted)) % 0.46/0.65 (define @t7 () (@var "Z1" $$unsorted)) % 0.46/0.65 (define @t8 () (tptp.product @t7 @t1 @t6)) % 0.46/0.65 (define @t9 () (not @t8)) % 0.46/0.65 (define @t10 () (tptp.product @t6 @t1 @t2)) % 0.46/0.65 (define @t11 () (not @t10)) % 0.46/0.65 (define @t12 () (tptp.product @t1 @t2 @t7)) % 0.46/0.65 (define @t13 () (@list @t1 @t2 @t7 @t6)) % 0.46/0.65 (define @t14 () (forall @t13 (or @t12 @t11 @t9))) % 0.46/0.65 (define @t15 () (not @t12)) % 0.46/0.65 (define @t16 () (tptp.group_element tptp.e_1)) % 0.46/0.65 (define @t17 () (tptp.group_element tptp.e_2)) % 0.46/0.65 (define @t18 () (tptp.group_element tptp.e_3)) % 0.46/0.65 (define @t19 () (tptp.group_element tptp.e_4)) % 0.46/0.65 (define @t20 () (tptp.equalish tptp.e_1 tptp.e_3)) % 0.46/0.65 (define @t21 () (tptp.equalish tptp.e_1 tptp.e_4)) % 0.46/0.65 (define @t22 () (tptp.equalish tptp.e_2 tptp.e_1)) % 0.46/0.65 (define @t23 () (tptp.equalish tptp.e_2 tptp.e_3)) % 0.46/0.65 (define @t24 () (tptp.equalish tptp.e_2 tptp.e_4)) % 0.46/0.65 (define @t25 () (tptp.equalish tptp.e_3 tptp.e_2)) % 0.46/0.65 (define @t26 () (tptp.equalish tptp.e_3 tptp.e_4)) % 0.46/0.65 (define @t27 () (tptp.equalish tptp.e_4 tptp.e_3)) % 0.46/0.65 (define @t28 () (@var "Z" $$unsorted)) % 0.46/0.65 (define @t29 () (@var "W" $$unsorted)) % 0.46/0.65 (define @t30 () (tptp.equalish @t29 @t28)) % 0.46/0.65 (define @t31 () (forall (@list @t2 @t29 @t1 @t28) (or (not (tptp.product @t2 @t29 @t1)) (not (tptp.product @t2 @t28 @t1)) @t30))) % 0.46/0.65 (define @t32 () (forall (@list @t2) (tptp.product @t2 @t2 @t2))) % 0.46/0.65 (define @t33 () (forall @t13 (or @t15 @t9 @t10))) % 0.46/0.65 (define @t34 () (@list tptp.e_3 tptp.e_3 tptp.e_3 tptp.e_2)) % 0.46/0.65 (define @t35 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_3)) % 0.46/0.65 (define @t36 () (not @t35)) % 0.46/0.65 (define @t37 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_3)) % 0.46/0.65 (define @t38 () (not @t37)) % 0.46/0.65 (define @t39 () (or @t38 @t36 @t25)) % 0.46/0.65 (define @t40 () (@list true false false)) % 0.46/0.65 (define @t41 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_2)) % 0.46/0.65 (define @t42 () (not @t41)) % 0.46/0.65 (define @t43 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_2)) % 0.46/0.65 (define @t44 () (not @t43)) % 0.46/0.65 (define @t45 () (or @t44 @t42 @t23)) % 0.46/0.65 (define @t46 () (@list tptp.e_2 tptp.e_3)) % 0.46/0.65 (define @t47 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_4)) % 0.46/0.65 (define @t48 () (tptp.product tptp.e_2 tptp.e_3 tptp.e_1)) % 0.46/0.65 (define @t49 () (not @t18)) % 0.46/0.65 (define @t50 () (not @t17)) % 0.46/0.65 (define @t51 () (or @t50 @t49 @t48 @t41 @t35 @t47)) % 0.46/0.65 (define @t52 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_3)) % 0.46/0.65 (define @t53 () (not @t52)) % 0.46/0.65 (define @t54 () (or @t38 @t53 @t25)) % 0.46/0.65 (define @t55 () (tptp.product tptp.e_4 tptp.e_2 tptp.e_3)) % 0.46/0.65 (define @t56 () (not @t55)) % 0.46/0.65 (define @t57 () (not @t47)) % 0.46/0.65 (define @t58 () (or @t57 @t56 @t52)) % 0.46/0.65 (define @t59 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_3)) % 0.46/0.65 (define @t60 () (not @t59)) % 0.46/0.65 (define @t61 () (or @t41 @t60 @t44)) % 0.46/0.65 (define @t62 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_3)) % 0.46/0.65 (define @t63 () (or @t50 @t49 @t62 @t59 @t52 @t55)) % 0.46/0.65 (define @t64 () (tptp.product tptp.e_1 tptp.e_4 tptp.e_3)) % 0.46/0.65 (define @t65 () (not @t64)) % 0.46/0.65 (define @t66 () (not @t62)) % 0.46/0.65 (define @t67 () (or @t66 @t65 @t24)) % 0.46/0.65 (define @t68 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_2)) % 0.46/0.65 (define @t69 () (not @t68)) % 0.46/0.65 (define @t70 () (or @t69 @t66 @t23)) % 0.46/0.65 (define @t71 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_4)) % 0.46/0.65 (define @t72 () (tptp.product tptp.e_1 tptp.e_4 tptp.e_1)) % 0.46/0.65 (define @t73 () (not @t72)) % 0.46/0.65 (define @t74 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_1)) % 0.46/0.65 (define @t75 () (not @t74)) % 0.46/0.65 (define @t76 () (or @t75 @t73 @t21)) % 0.46/0.65 (define @t77 () (@list tptp.e_1 tptp.e_4)) % 0.46/0.65 (define @t78 () (tptp.product tptp.e_4 tptp.e_4 tptp.e_4)) % 0.46/0.65 (define @t79 () (not @t78)) % 0.46/0.65 (define @t80 () (tptp.product tptp.e_1 tptp.e_4 tptp.e_4)) % 0.46/0.65 (define @t81 () (not @t80)) % 0.46/0.65 (define @t82 () (or @t81 @t79 @t21)) % 0.46/0.65 (define @t83 () (tptp.product tptp.e_1 tptp.e_4 tptp.e_2)) % 0.46/0.65 (define @t84 () (not @t19)) % 0.46/0.65 (define @t85 () (not @t16)) % 0.46/0.65 (define @t86 () (or @t85 @t84 @t72 @t83 @t64 @t80)) % 0.46/0.65 (define @t87 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_2)) % 0.46/0.65 (define @t88 () (not @t87)) % 0.46/0.65 (define @t89 () (or @t68 @t88 @t88)) % 0.46/0.65 (define @t90 () (not @t83)) % 0.46/0.65 (define @t91 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_4)) % 0.46/0.65 (define @t92 () (not @t91)) % 0.46/0.65 (define @t93 () (or @t87 @t92 @t90)) % 0.46/0.65 (define @t94 () (@list tptp.e_1 tptp.e_1 tptp.e_1 tptp.e_3)) % 0.46/0.65 (define @t95 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_1)) % 0.46/0.65 (define @t96 () (not @t95)) % 0.46/0.65 (define @t97 () (or @t75 @t96 @t20)) % 0.46/0.65 (define @t98 () (tptp.product tptp.e_3 tptp.e_2 tptp.e_1)) % 0.46/0.65 (define @t99 () (not @t98)) % 0.46/0.65 (define @t100 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_2)) % 0.46/0.65 (define @t101 () (not @t100)) % 0.46/0.65 (define @t102 () (or @t95 @t101 @t99)) % 0.46/0.65 (define @t103 () (@list tptp.e_1 tptp.e_2 tptp.e_1 tptp.e_1)) % 0.46/0.65 (define @t104 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_1)) % 0.46/0.65 (define @t105 () (not @t104)) % 0.46/0.65 (define @t106 () (or @t105 @t75 @t22)) % 0.46/0.65 (define @t107 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_3)) % 0.46/0.65 (define @t108 () (not @t107)) % 0.46/0.65 (define @t109 () (or @t108 @t99 @t104)) % 0.46/0.65 (define @t110 () (@list tptp.e_2 tptp.e_1)) % 0.46/0.65 (define @t111 () (tptp.product tptp.e_2 tptp.e_1 tptp.e_1)) % 0.46/0.65 (define @t112 () (or @t50 @t85 @t111 @t87 @t107 @t91)) % 0.46/0.65 (define @t113 () (tptp.product tptp.e_4 tptp.e_3 tptp.e_1)) % 0.46/0.65 (define @t114 () (not @t113)) % 0.46/0.65 (define @t115 () (or @t72 @t65 @t114)) % 0.46/0.65 (define @t116 () (@list tptp.e_3 tptp.e_1)) % 0.46/0.65 (define @t117 () (tptp.product tptp.e_3 tptp.e_3 tptp.e_1)) % 0.46/0.65 (define @t118 () (or @t49 @t85 @t95 @t48 @t117 @t113)) % 0.46/0.65 (define @t119 () (tptp.product tptp.e_3 tptp.e_4 tptp.e_3)) % 0.46/0.65 (define @t120 () (not @t119)) % 0.46/0.65 (define @t121 () (or @t120 @t38 @t27)) % 0.46/0.65 (define @t122 () (not @t117)) % 0.46/0.65 (define @t123 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_4)) % 0.46/0.65 (define @t124 () (not @t123)) % 0.46/0.65 (define @t125 () (or @t119 @t124 @t122)) % 0.46/0.65 (define @t126 () (tptp.product tptp.e_1 tptp.e_3 tptp.e_3)) % 0.46/0.65 (define @t127 () (not @t126)) % 0.46/0.65 (define @t128 () (or @t95 @t127 @t122)) % 0.46/0.65 (define @t129 () (or @t85 @t49 @t95 @t100 @t126 @t123)) % 0.46/0.65 (define @t130 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_2)) % 0.46/0.65 (define @t131 () (not @t130)) % 0.46/0.65 (define @t132 () (or @t66 @t131 @t87)) % 0.46/0.65 (define @t133 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_2)) % 0.46/0.65 (define @t134 () (not @t133)) % 0.46/0.65 (define @t135 () (or @t104 @t134 @t75)) % 0.46/0.65 (define @t136 () (tptp.product tptp.e_4 tptp.e_1 tptp.e_2)) % 0.46/0.65 (define @t137 () (or @t85 @t50 @t133 @t87 @t130 @t136)) % 0.46/0.65 (define @t138 () (not @t136)) % 0.46/0.65 (define @t139 () (or @t123 @t108 @t138)) % 0.46/0.65 (define @t140 () (tptp.product tptp.e_4 tptp.e_3 tptp.e_4)) % 0.46/0.65 (define @t141 () (not @t140)) % 0.46/0.65 (define @t142 () (or @t141 @t79 @t26)) % 0.46/0.65 (define @t143 () (tptp.product tptp.e_3 tptp.e_4 tptp.e_1)) % 0.46/0.65 (define @t144 () (not @t143)) % 0.46/0.65 (define @t145 () (or @t144 @t124 @t140)) % 0.46/0.65 (define @t146 () (tptp.product tptp.e_3 tptp.e_1 tptp.e_1)) % 0.46/0.65 (define @t147 () (not @t146)) % 0.46/0.65 (define @t148 () (or @t75 @t147 @t20)) % 0.46/0.65 (define @t149 () (or @t49 @t85 @t146 @t98 @t117 @t143)) % 0.46/0.65 (define @t150 () (tptp.product tptp.e_2 tptp.e_2 tptp.e_1)) % 0.46/0.65 (define @t151 () (not @t150)) % 0.46/0.65 (define @t152 () (or @t88 @t151 @t104)) % 0.46/0.65 (define @t153 () (or @t88 @t44 @t150)) % 0.46/0.65 (define @t154 () (@list tptp.e_3 tptp.e_1 tptp.e_2 tptp.e_1)) % 0.46/0.65 (define @t155 () (not @t48)) % 0.46/0.65 (define @t156 () (or @t131 @t155 @t95)) % 0.46/0.65 (define @t157 () (or @t80 @t92 @t138)) % 0.46/0.65 (define @t158 () (or @t95 @t124 @t144)) % 0.46/0.65 (define @t159 () (tptp.product tptp.e_1 tptp.e_1 tptp.e_4)) % 0.46/0.65 (define @t160 () (not @t159)) % 0.46/0.65 (define @t161 () (or @t75 @t160 @t21)) % 0.46/0.65 (define @t162 () (tptp.product tptp.e_1 tptp.e_2 tptp.e_4)) % 0.46/0.65 (define @t163 () (or @t85 @t84 @t159 @t162 @t123 @t80)) % 0.46/0.65 (define @t164 () (not @t162)) % 0.46/0.65 (define @t165 () (tptp.product tptp.e_4 tptp.e_2 tptp.e_1)) % 0.46/0.65 (define @t166 () (not @t165)) % 0.46/0.65 (define @t167 () (or @t111 @t166 @t164)) % 0.46/0.65 (define @t168 () (or @t50 @t85 @t104 @t150 @t98 @t165)) % 0.46/0.65 (define @t169 () (or @t164 @t138 @t87)) % 0.46/0.65 (define @t170 () (not @t111)) % 0.46/0.65 (define @t171 () (or @t133 @t75 @t170)) % 0.46/0.65 (define @t172 () (not @t171)) % 0.46/0.65 (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)))) % 0.46/0.65 (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)))) % 0.46/0.65 (assume @p3 @t14) % 0.46/0.65 (assume @p4 (forall (@list @t7 @t1 @t6 @t2) (or @t8 @t11 @t15))) % 0.46/0.65 (assume @p5 @t16) % 0.46/0.65 (assume @p6 @t17) % 0.46/0.65 (assume @p7 @t18) % 0.46/0.65 (assume @p8 @t19) % 0.46/0.65 (assume @p9 (not (tptp.equalish tptp.e_1 tptp.e_2))) % 0.46/0.65 (assume @p10 (not @t20)) % 0.46/0.65 (assume @p11 (not @t21)) % 0.46/0.65 (assume @p12 (not @t22)) % 0.46/0.65 (assume @p13 (not @t23)) % 0.46/0.65 (assume @p14 (not @t24)) % 0.46/0.65 (assume @p15 (not (tptp.equalish tptp.e_3 tptp.e_1))) % 0.46/0.65 (assume @p16 (not @t25)) % 0.46/0.65 (assume @p17 (not @t26)) % 0.46/0.65 (assume @p18 (not (tptp.equalish tptp.e_4 tptp.e_1))) % 0.46/0.65 (assume @p19 (not (tptp.equalish tptp.e_4 tptp.e_2))) % 0.46/0.65 (assume @p20 (not @t27)) % 0.46/0.65 (assume @p21 (forall @t5 (or @t4 @t3 (tptp.product @t2 @t1 tptp.e_1) (tptp.product @t2 @t1 tptp.e_2) (tptp.product @t2 @t1 tptp.e_3) (tptp.product @t2 @t1 tptp.e_4)))) % 0.46/0.65 (assume @p22 (forall (@list @t2 @t1 @t29 @t28) (or (not (tptp.product @t2 @t1 @t29)) (not (tptp.product @t2 @t1 @t28)) @t30))) % 0.46/0.65 (assume @p23 @t31) % 0.46/0.65 (assume @p24 (forall (@list @t29 @t1 @t2 @t28) (or (not (tptp.product @t29 @t1 @t2)) (not (tptp.product @t28 @t1 @t2)) @t30))) % 0.46/0.65 (assume @p25 @t32) % 0.46/0.65 (assume @p26 @t33) % 0.46/0.65 (step @p27 :rule instantiate :premises (@p24) :args (@t34)) % 0.46/0.65 (step @p28 :rule instantiate :premises (@p25) :args ((@list tptp.e_3))) % 0.46/0.65 (step @p29 :rule cnf_or_pos :args (@t39)) % 0.46/0.65 (step @p30 :rule reordering :premises (@p29) :args ((or @t25 @t36 @t38 (not @t39)))) % 0.46/0.65 (step @p31 :rule chain_m_resolution :premises (@p30 @p16 @p28 @p27) :args (@t36 @t40 (@list @t25 @t37 @t39))) % 0.46/0.65 (step @p32 :rule instantiate :premises (@p23) :args ((@list tptp.e_2 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.46/0.65 (step @p33 :rule instantiate :premises (@p25) :args ((@list tptp.e_2))) % 0.46/0.65 (step @p34 :rule cnf_or_pos :args (@t45)) % 0.46/0.65 (step @p35 :rule reordering :premises (@p34) :args ((or @t23 @t42 @t44 (not @t45)))) % 0.46/0.65 (step @p36 :rule chain_m_resolution :premises (@p35 @p13 @p33 @p32) :args (@t42 @t40 (@list @t23 @t43 @t45))) % 0.46/0.65 (step @p37 :rule instantiate :premises (@p21) :args (@t46)) % 0.46/0.65 (step @p38 :rule cnf_or_pos :args (@t51)) % 0.46/0.65 (step @p39 :rule reordering :premises (@p38) :args ((or @t50 @t49 @t48 @t35 @t47 @t41 (not @t51)))) % 0.46/0.65 (step @p40 :rule instantiate :premises (@p23) :args (@t34)) % 0.46/0.65 (step @p41 :rule cnf_or_pos :args (@t54)) % 0.46/0.65 (step @p42 :rule reordering :premises (@p41) :args ((or @t25 @t38 @t53 (not @t54)))) % 0.46/0.65 (step @p43 :rule chain_m_resolution :premises (@p42 @p16 @p28 @p40) :args (@t53 @t40 (@list @t25 @t37 @t54))) % 0.46/0.65 (step @p44 :rule instantiate :premises (@p26) :args ((@list tptp.e_2 tptp.e_3 tptp.e_4 tptp.e_3))) % 0.46/0.65 (step @p45 :rule cnf_or_pos :args (@t58)) % 0.46/0.65 (step @p46 :rule reordering :premises (@p45) :args ((or @t52 @t57 @t56 (not @t58)))) % 0.46/0.65 (step @p47 :rule instantiate :premises (@p3) :args ((@list tptp.e_2 tptp.e_3 tptp.e_2 tptp.e_2))) % 0.46/0.65 (step @p48 :rule cnf_or_pos :args (@t61)) % 0.46/0.65 (step @p49 :rule reordering :premises (@p48) :args ((or @t41 @t60 @t44 (not @t61)))) % 0.46/0.65 (step @p50 :rule chain_m_resolution :premises (@p49 @p36 @p33 @p47) :args (@t60 @t40 (@list @t41 @t43 @t61))) % 0.46/0.65 (step @p51 :rule instantiate :premises (@p1) :args (@t46)) % 0.46/0.65 (step @p52 :rule cnf_or_pos :args (@t63)) % 0.46/0.65 (step @p53 :rule reordering :premises (@p52) :args ((or @t50 @t49 @t62 @t52 @t55 @t59 (not @t63)))) % 0.46/0.65 (step @p54 :rule instantiate :premises (@p23) :args ((@list tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_4))) % 0.46/0.65 (step @p55 :rule cnf_or_pos :args (@t67)) % 0.46/0.65 (step @p56 :rule reordering :premises (@p55) :args ((or @t24 @t66 @t65 (not @t67)))) % 0.46/0.65 (step @p57 :rule instantiate :premises (@p22) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_3))) % 0.46/0.65 (step @p58 :rule cnf_or_pos :args (@t70)) % 0.46/0.65 (step @p59 :rule reordering :premises (@p58) :args ((or @t23 @t69 @t66 (not @t70)))) % 0.46/0.65 (step @p60 :rule instantiate :premises (@p23) :args (@t71)) % 0.46/0.65 (step @p61 :rule instantiate :premises (@p25) :args ((@list tptp.e_1))) % 0.46/0.65 (step @p62 :rule cnf_or_pos :args (@t76)) % 0.46/0.65 (step @p63 :rule reordering :premises (@p62) :args ((or @t21 @t75 @t73 (not @t76)))) % 0.46/0.65 (step @p64 :rule chain_m_resolution :premises (@p63 @p11 @p61 @p60) :args (@t73 @t40 (@list @t21 @t74 @t76))) % 0.46/0.65 (step @p65 :rule instantiate :premises (@p21) :args (@t77)) % 0.46/0.65 (step @p66 :rule instantiate :premises (@p24) :args ((@list tptp.e_1 tptp.e_4 tptp.e_4 tptp.e_4))) % 0.46/0.65 (step @p67 :rule instantiate :premises (@p25) :args ((@list tptp.e_4))) % 0.46/0.65 (step @p68 :rule cnf_or_pos :args (@t82)) % 0.46/0.65 (step @p69 :rule reordering :premises (@p68) :args ((or @t21 @t81 @t79 (not @t82)))) % 0.46/0.65 (step @p70 :rule chain_m_resolution :premises (@p69 @p11 @p67 @p66) :args (@t81 @t40 (@list @t21 @t78 @t82))) % 0.46/0.65 (step @p71 :rule cnf_or_pos :args (@t86)) % 0.46/0.65 (step @p72 :rule reordering :premises (@p71) :args ((or @t85 @t84 @t72 @t83 @t64 @t80 (not @t86)))) % 0.46/0.65 (step @p73 :rule instantiate :premises (@p3) :args ((@list tptp.e_1 tptp.e_2 tptp.e_2 tptp.e_2))) % 0.46/0.65 (step @p74 :rule cnf_or_pos :args (@t89)) % 0.46/0.65 (step @p75 :rule factoring :premises (@p74)) % 0.46/0.65 (step @p76 :rule reordering :premises (@p75) :args ((or @t68 @t88 (not @t89)))) % 0.46/0.65 (step @p77 :rule instantiate :premises (@p4) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_4))) % 0.46/0.65 (step @p78 :rule cnf_or_pos :args (@t93)) % 0.46/0.65 (step @p79 :rule reordering :premises (@p78) :args ((or @t87 @t92 @t90 (not @t93)))) % 0.46/0.65 (step @p80 :rule instantiate :premises (@p23) :args (@t94)) % 0.46/0.65 (step @p81 :rule cnf_or_pos :args (@t97)) % 0.46/0.65 (step @p82 :rule reordering :premises (@p81) :args ((or @t20 @t75 @t96 (not @t97)))) % 0.46/0.65 (step @p83 :rule chain_m_resolution :premises (@p82 @p10 @p61 @p80) :args (@t96 @t40 (@list @t20 @t74 @t97))) % 0.46/0.65 (step @p84 :rule instantiate :premises (@p4) :args ((@list tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_2))) % 0.46/0.65 (step @p85 :rule cnf_or_pos :args (@t102)) % 0.46/0.65 (step @p86 :rule reordering :premises (@p85) :args ((or @t95 @t99 @t101 (not @t102)))) % 0.46/0.65 (step @p87 :rule instantiate :premises (@p23) :args (@t103)) % 0.46/0.65 (step @p88 :rule cnf_or_pos :args (@t106)) % 0.46/0.65 (step @p89 :rule reordering :premises (@p88) :args ((or @t22 @t75 @t105 (not @t106)))) % 0.46/0.65 (step @p90 :rule chain_m_resolution :premises (@p89 @p12 @p61 @p87) :args (@t105 @t40 (@list @t22 @t74 @t106))) % 0.46/0.65 (step @p91 :rule instantiate :premises (@p26) :args ((@list tptp.e_2 tptp.e_1 tptp.e_3 tptp.e_1))) % 0.46/0.65 (step @p92 :rule cnf_or_pos :args (@t109)) % 0.46/0.65 (step @p93 :rule reordering :premises (@p92) :args ((or @t104 @t108 @t99 (not @t109)))) % 0.46/0.65 (step @p94 :rule instantiate :premises (@p21) :args (@t110)) % 0.46/0.65 (step @p95 :rule cnf_or_pos :args (@t112)) % 0.46/0.65 (step @p96 :rule reordering :premises (@p95) :args ((or @t85 @t50 @t111 @t87 @t107 @t91 (not @t112)))) % 0.46/0.65 (step @p97 :rule instantiate :premises (@p4) :args ((@list tptp.e_1 tptp.e_4 tptp.e_1 tptp.e_3))) % 0.46/0.65 (step @p98 :rule cnf_or_pos :args (@t115)) % 0.46/0.65 (step @p99 :rule reordering :premises (@p98) :args ((or @t72 @t114 @t65 (not @t115)))) % 0.46/0.65 (step @p100 :rule instantiate :premises (@p1) :args (@t116)) % 0.46/0.65 (step @p101 :rule cnf_or_pos :args (@t118)) % 0.46/0.65 (step @p102 :rule reordering :premises (@p101) :args ((or @t85 @t49 @t95 @t48 @t117 @t113 (not @t118)))) % 0.46/0.65 (step @p103 :rule instantiate :premises (@p23) :args ((@list tptp.e_3 tptp.e_4 tptp.e_3 tptp.e_3))) % 0.46/0.65 (step @p104 :rule cnf_or_pos :args (@t121)) % 0.46/0.65 (step @p105 :rule reordering :premises (@p104) :args ((or @t27 @t38 @t120 (not @t121)))) % 0.46/0.65 (step @p106 :rule chain_m_resolution :premises (@p105 @p20 @p28 @p103) :args (@t120 @t40 (@list @t27 @t37 @t121))) % 0.46/0.65 (step @p107 :rule instantiate :premises (@p3) :args ((@list tptp.e_3 tptp.e_4 tptp.e_3 tptp.e_1))) % 0.46/0.65 (step @p108 :rule cnf_or_pos :args (@t125)) % 0.46/0.65 (step @p109 :rule reordering :premises (@p108) :args ((or @t122 @t124 @t119 (not @t125)))) % 0.46/0.65 (step @p110 :rule instantiate :premises (@p4) :args ((@list tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_3))) % 0.46/0.65 (step @p111 :rule cnf_or_pos :args (@t128)) % 0.46/0.65 (step @p112 :rule reordering :premises (@p111) :args ((or @t95 @t122 @t127 (not @t128)))) % 0.46/0.65 (step @p113 :rule instantiate :premises (@p21) :args ((@list tptp.e_1 tptp.e_3))) % 0.46/0.65 (step @p114 :rule cnf_or_pos :args (@t129)) % 0.46/0.65 (step @p115 :rule reordering :premises (@p114) :args ((or @t85 @t49 @t95 @t100 @t126 @t123 (not @t129)))) % 0.46/0.65 (step @p116 :rule chain_m_resolution :premises (@p115 @p83 @p113 @p7 @p5 @p112 @p110 @p83 @p109 @p107 @p106 @p102 @p83 @p100 @p7 @p5 @p99 @p97 @p64 @p72 @p70 @p65 @p64 @p8 @p5 @p79 @p77 @p96 @p94 @p6 @p5 @p93 @p91 @p90 @p86 @p84 @p83) :args ((or @t111 @t87 @t48 @t99) (@list true false false false true false true true false true false true false false false true false true false true false true false false true false false false false false true false true true false true) (@list @t95 @t129 @t18 @t16 @t126 @t128 @t95 @t123 @t125 @t119 @t117 @t95 @t118 @t18 @t16 @t113 @t115 @t72 @t64 @t80 @t86 @t72 @t19 @t16 @t83 @t93 @t91 @t112 @t17 @t16 @t107 @t109 @t104 @t100 @t102 @t95))) % 0.46/0.65 (step @p117 :rule instantiate :premises (@p26) :args ((@list tptp.e_1 tptp.e_2 tptp.e_3 tptp.e_2))) % 0.46/0.65 (step @p118 :rule cnf_or_pos :args (@t132)) % 0.46/0.65 (step @p119 :rule reordering :premises (@p118) :args ((or @t87 @t131 @t66 (not @t132)))) % 0.46/0.65 (step @p120 :rule instantiate :premises (@p1) :args ((@list tptp.e_1 tptp.e_2))) % 0.46/0.65 (step @p121 :rule instantiate :premises (@p3) :args (@t103)) % 0.46/0.65 (step @p122 :rule cnf_or_pos :args (@t135)) % 0.46/0.65 (step @p123 :rule reordering :premises (@p122) :args ((or @t104 @t75 @t134 (not @t135)))) % 0.46/0.65 (step @p124 :rule chain_m_resolution :premises (@p123 @p90 @p61 @p121) :args (@t134 @t40 (@list @t104 @t74 @t135))) % 0.46/0.65 (step @p125 :rule cnf_or_pos :args (@t137)) % 0.46/0.65 (step @p126 :rule reordering :premises (@p125) :args ((or @t85 @t50 @t133 @t87 @t130 @t136 (not @t137)))) % 0.46/0.65 (step @p127 :rule instantiate :premises (@p3) :args ((@list tptp.e_1 tptp.e_3 tptp.e_4 tptp.e_2))) % 0.46/0.65 (step @p128 :rule cnf_or_pos :args (@t139)) % 0.46/0.65 (step @p129 :rule reordering :premises (@p128) :args ((or @t123 @t138 @t108 (not @t139)))) % 0.46/0.65 (step @p130 :rule instantiate :premises (@p23) :args ((@list tptp.e_4 tptp.e_3 tptp.e_4 tptp.e_4))) % 0.46/0.65 (step @p131 :rule cnf_or_pos :args (@t142)) % 0.46/0.65 (step @p132 :rule reordering :premises (@p131) :args ((or @t26 @t141 @t79 (not @t142)))) % 0.46/0.65 (step @p133 :rule chain_m_resolution :premises (@p132 @p17 @p67 @p130) :args (@t141 @t40 (@list @t26 @t78 @t142))) % 0.46/0.65 (step @p134 :rule instantiate :premises (@p26) :args ((@list tptp.e_3 tptp.e_4 tptp.e_1 tptp.e_4))) % 0.46/0.65 (step @p135 :rule cnf_or_pos :args (@t145)) % 0.46/0.65 (step @p136 :rule reordering :premises (@p135) :args ((or @t144 @t124 @t140 (not @t145)))) % 0.46/0.65 (step @p137 :rule instantiate :premises (@p2) :args (@t116)) % 0.46/0.65 (step @p138 :rule instantiate :premises (@p24) :args (@t94)) % 0.46/0.65 (step @p139 :rule cnf_or_pos :args (@t148)) % 0.46/0.65 (step @p140 :rule reordering :premises (@p139) :args ((or @t20 @t75 @t147 (not @t148)))) % 0.46/0.65 (step @p141 :rule chain_m_resolution :premises (@p140 @p10 @p61 @p138) :args (@t147 @t40 (@list @t20 @t74 @t148))) % 0.46/0.65 (step @p142 :rule cnf_or_pos :args (@t149)) % 0.46/0.65 (step @p143 :rule reordering :premises (@p142) :args ((or @t85 @t49 @t146 @t98 @t117 @t143 (not @t149)))) % 0.46/0.65 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p137 @p7 @p5 @p109 @p107 @p106 @p136 @p134 @p133 @p129 @p127 @p126 @p124 @p120 @p6 @p5 @p96 @p94 @p6 @p5 @p119 @p117 @p116 @p79 @p77 @p76 @p73 @p72 @p70 @p65 @p64 @p8 @p5 @p59 @p57 @p13 @p56 @p54 @p14 @p53 @p51 @p43 @p50 @p7 @p6 @p46 @p44 @p43 @p39 @p37 @p36 @p31 @p7 @p6) :args ((or @t111 @t48) (@list true false false false true false true true false true false false false true false false false false false false false true false true true false true false false true false true false false true false true true false true false false true true false false true false true false false true true false false) (@list @t146 @t149 @t18 @t16 @t117 @t125 @t119 @t143 @t145 @t140 @t123 @t139 @t136 @t133 @t137 @t17 @t16 @t107 @t112 @t17 @t16 @t130 @t132 @t98 @t91 @t93 @t87 @t89 @t83 @t80 @t86 @t72 @t19 @t16 @t68 @t70 @t23 @t64 @t67 @t24 @t62 @t63 @t52 @t59 @t18 @t17 @t55 @t58 @t52 @t47 @t51 @t41 @t35 @t18 @t17))) % 0.46/0.65 (step @p145 :rule instantiate :premises (@p26) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_1))) % 0.46/0.65 (step @p146 :rule cnf_or_pos :args (@t152)) % 0.46/0.65 (step @p147 :rule reordering :premises (@p146) :args ((or @t104 @t88 @t151 (not @t152)))) % 0.46/0.65 (step @p148 :rule instantiate :premises (@p26) :args ((@list tptp.e_2 tptp.e_1 tptp.e_2 tptp.e_2))) % 0.46/0.65 (step @p149 :rule cnf_or_pos :args (@t153)) % 0.46/0.65 (step @p150 :rule reordering :premises (@p149) :args ((or @t150 @t88 @t44 (not @t153)))) % 0.46/0.65 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p33 @p147 @p145 @p90) :args (@t88 (@list false false true false true) (@list @t153 @t43 @t150 @t152 @t104))) % 0.46/0.65 (assume-push @p201 @t33) % 0.46/0.65 (step @p153 :rule instantiate :premises (@p26) :args (@t154)) % 0.46/0.65 (step-pop @p202 :rule scope :premises (@p153)) % 0.46/0.65 (step @p154 :rule process_scope :premises (@p202) :args (@t156)) % 0.46/0.65 (step @p156 :rule implies_elim :premises (@p154)) % 0.46/0.65 (assume-push @p203 @t31) % 0.46/0.65 (step-pop @p204 :rule scope :premises (@p80)) % 0.46/0.65 (step @p158 :rule process_scope :premises (@p204) :args (@t97)) % 0.46/0.65 (step @p160 :rule implies_elim :premises (@p158)) % 0.46/0.65 (assume-push @p205 @t32) % 0.46/0.65 (step-pop @p206 :rule scope :premises (@p61)) % 0.46/0.65 (step @p162 :rule process_scope :premises (@p206) :args (@t74)) % 0.46/0.65 (step @p164 :rule implies_elim :premises (@p162)) % 0.46/0.65 (step @p165 :rule cnf_or_pos :args (@t156)) % 0.46/0.65 (step @p166 :rule reordering :premises (@p165) :args ((or @t95 @t131 @t155 (not @t156)))) % 0.46/0.65 (step @p167 :rule instantiate :premises (@p3) :args ((@list tptp.e_1 tptp.e_4 tptp.e_4 tptp.e_2))) % 0.46/0.65 (step @p168 :rule cnf_or_pos :args (@t157)) % 0.46/0.65 (step @p169 :rule reordering :premises (@p168) :args ((or @t80 @t138 @t92 (not @t157)))) % 0.46/0.65 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p70 @p96 @p94 @p6 @p5 @p126 @p124 @p120 @p6 @p5 @p166 @p82 @p10 @p164 @p25 @p160 @p23 @p156 @p26 @p144) :args ((or @t111 @t87 @t107) (@list false true false false false false false true false false false true true true false false false false false false false) (@list @t157 @t80 @t91 @t112 @t17 @t16 @t136 @t133 @t137 @t17 @t16 @t130 @t95 @t20 @t74 @t32 @t97 @t31 @t156 @t33 @t48))) % 0.46/0.65 (step @p153 :rule instantiate :premises (@p26) :args (@t154)) % 0.46/0.65 (step @p171 :rule instantiate :premises (@p4) :args ((@list tptp.e_1 tptp.e_3 tptp.e_1 tptp.e_4))) % 0.46/0.65 (step @p172 :rule cnf_or_pos :args (@t158)) % 0.46/0.65 (step @p173 :rule reordering :premises (@p172) :args ((or @t95 @t144 @t124 (not @t158)))) % 0.46/0.65 (step @p174 :rule instantiate :premises (@p22) :args (@t71)) % 0.46/0.65 (step @p175 :rule cnf_or_pos :args (@t161)) % 0.46/0.65 (step @p176 :rule reordering :premises (@p175) :args ((or @t21 @t75 @t160 (not @t161)))) % 0.46/0.65 (step @p177 :rule chain_m_resolution :premises (@p176 @p11 @p61 @p174) :args (@t160 @t40 (@list @t21 @t74 @t161))) % 0.46/0.65 (step @p178 :rule instantiate :premises (@p2) :args (@t77)) % 0.46/0.65 (step @p179 :rule cnf_or_pos :args (@t163)) % 0.46/0.65 (step @p180 :rule reordering :premises (@p179) :args ((or @t85 @t84 @t159 @t162 @t123 @t80 (not @t163)))) % 0.46/0.65 (step @p181 :rule instantiate :premises (@p3) :args ((@list tptp.e_2 tptp.e_1 tptp.e_1 tptp.e_4))) % 0.46/0.65 (step @p182 :rule cnf_or_pos :args (@t167)) % 0.46/0.65 (step @p183 :rule reordering :premises (@p182) :args ((or @t111 @t166 @t164 (not @t167)))) % 0.46/0.65 (step @p184 :rule instantiate :premises (@p1) :args (@t110)) % 0.46/0.65 (step @p185 :rule cnf_or_pos :args (@t168)) % 0.46/0.65 (step @p186 :rule reordering :premises (@p185) :args ((or @t85 @t50 @t104 @t150 @t98 @t165 (not @t168)))) % 0.46/0.65 (step @p187 :rule instantiate :premises (@p26) :args ((@list tptp.e_1 tptp.e_2 tptp.e_4 tptp.e_2))) % 0.46/0.65 (step @p188 :rule cnf_or_pos :args (@t169)) % 0.46/0.65 (step @p189 :rule reordering :premises (@p188) :args ((or @t87 @t138 @t164 (not @t169)))) % 0.46/0.65 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p126 @p124 @p120 @p6 @p5 @p147 @p145 @p90 @p186 @p90 @p184 @p6 @p5 @p183 @p181 @p180 @p70 @p178 @p177 @p8 @p5 @p173 @p171 @p83 @p143 @p141 @p137 @p7 @p5 @p166 @p82 @p10 @p164 @p25 @p160 @p23 @p156 @p26 @p144) :args ((or @t111 @t98 @t117) (@list false false true false false false true false true false true false false false true false false true false true false false true false true false true false false false true true true false false false false false false false) (@list @t169 @t136 @t133 @t137 @t17 @t16 @t87 @t152 @t104 @t150 @t104 @t168 @t17 @t16 @t165 @t167 @t162 @t80 @t163 @t159 @t19 @t16 @t123 @t158 @t95 @t143 @t146 @t149 @t18 @t16 @t130 @t95 @t20 @t74 @t32 @t97 @t31 @t156 @t33 @t48))) % 0.46/0.65 (step @p191 :rule chain_m_resolution :premises (@p109 @p107 @p106 @p129 @p127 @p190 @p126 @p124 @p120 @p151 @p6 @p5 @p93 @p91 @p90 @p166 @p153 @p83 @p170 @p151 @p144) :args (@t111 (@list false true false false false false true false true false false true false true true false true false true false) (@list @t125 @t119 @t123 @t139 @t117 @t136 @t133 @t137 @t87 @t17 @t16 @t98 @t109 @t104 @t130 @t156 @t95 @t107 @t87 @t48))) % 0.46/0.65 (step @p192 :rule cnf_or_pos :args (@t171)) % 0.46/0.65 (step @p193 :rule reordering :premises (@p192) :args ((or @t75 @t133 @t170 @t172))) % 0.46/0.65 (step @p194 :rule chain_m_resolution :premises (@p193 @p61 @p124 @p191) :args (@t172 (@list false true false) (@list @t74 @t133 @t111))) % 0.46/0.65 (assume-push @p207 @t14) % 0.46/0.65 (step @p196 :rule instantiate :premises (@p3) :args ((@list tptp.e_1 tptp.e_1 tptp.e_2 tptp.e_1))) % 0.46/0.65 (step-pop @p208 :rule scope :premises (@p196)) % 0.46/0.65 (step @p197 :rule process_scope :premises (@p208) :args (@t171)) % 0.46/0.65 (step @p199 :rule implies_elim :premises (@p197)) % 0.46/0.65 (step @p200 false :rule chain_m_resolution :premises (@p199 @p194 @p3) :args (false (@list true false) (@list @t171 @t14))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------