%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV252-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 09:00:50 AM UTC 2026 % Result : Unsatisfiable 165.44s 165.77s % Output : Proof 165.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV252-2 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 20:00:25 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.65 --- Run --no-e-matching --full-saturate-quant at 6... % 21.49/21.72 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.48/27.76 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.58/33.82 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.68/63.96 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.70/79.00 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.89/112.15 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.96/127.27 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.14/157.44 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 165.44/165.77 % SZS status Unsatisfiable % 165.44/165.77 % SZS output start Proof % 165.44/165.78 ( % 165.44/165.78 (declare-sort $$unsorted 0) % 165.44/165.78 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 165.44/165.78 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 165.44/165.78 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 165.44/165.78 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 165.44/165.78 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 165.44/165.78 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 165.44/165.78 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 165.44/165.78 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 165.44/165.78 (declare-const tptp.v_X $$unsorted) % 165.44/165.78 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 165.44/165.78 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 165.44/165.78 (declare-const tptp.v_H $$unsorted) % 165.44/165.78 (declare-const tptp.tc_Message_Omsg $$unsorted) % 165.44/165.78 (define @t1 () (tptp.c_Message_Oanalz tptp.v_H)) % 165.44/165.78 (define @t2 () (tptp.c_Message_Osynth @t1)) % 165.44/165.78 (define @t3 () (tptp.c_in tptp.v_X @t2 tptp.tc_Message_Omsg)) % 165.44/165.78 (define @t4 () (tptp.tc_set tptp.tc_Message_Omsg)) % 165.44/165.78 (define @t5 () (tptp.c_Message_Oparts tptp.v_H)) % 165.44/165.78 (define @t6 () (tptp.c_union @t2 @t5 tptp.tc_Message_Omsg)) % 165.44/165.78 (define @t7 () (tptp.c_insert tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) % 165.44/165.78 (define @t8 () (tptp.c_Message_Oparts @t7)) % 165.44/165.78 (define @t9 () (@var "V_H" $$unsorted)) % 165.44/165.78 (define @t10 () (tptp.c_Message_Oparts @t9)) % 165.44/165.78 (define @t11 () (tptp.c_Message_Oanalz @t10)) % 165.44/165.78 (define @t12 () (@list @t9)) % 165.44/165.78 (define @t13 () (forall @t12 (= @t11 @t10))) % 165.44/165.78 (define @t14 () (tptp.c_Message_Oanalz @t9)) % 165.44/165.78 (define @t15 () (@var "V_G" $$unsorted)) % 165.44/165.78 (define @t16 () (@list @t15 @t9)) % 165.44/165.78 (define @t17 () (tptp.c_Message_Oparts @t14)) % 165.44/165.78 (define @t18 () (forall @t12 (= @t17 @t10))) % 165.44/165.78 (define @t19 () (tptp.c_lessequals @t15 @t10 @t4)) % 165.44/165.78 (define @t20 () (tptp.c_lessequals (tptp.c_Message_Oparts @t15) @t10 @t4)) % 165.44/165.78 (define @t21 () (tptp.c_Message_Osynth @t9)) % 165.44/165.78 (define @t22 () (@var "T_a" $$unsorted)) % 165.44/165.78 (define @t23 () (@var "V_x" $$unsorted)) % 165.44/165.78 (define @t24 () (@var "V_A" $$unsorted)) % 165.44/165.78 (define @t25 () (@var "V_B" $$unsorted)) % 165.44/165.78 (define @t26 () (tptp.tc_set @t22)) % 165.44/165.78 (define @t27 () (tptp.c_minus @t25 @t24 @t26)) % 165.44/165.78 (define @t28 () (@list @t25 @t24 @t22)) % 165.44/165.78 (define @t29 () (tptp.c_union @t24 @t25 @t22)) % 165.44/165.78 (define @t30 () (@var "V_C" $$unsorted)) % 165.44/165.78 (define @t31 () (tptp.c_lessequals @t24 @t30 @t26)) % 165.44/165.78 (define @t32 () (tptp.c_lessequals @t29 @t30 @t26)) % 165.44/165.78 (define @t33 () (not @t32)) % 165.44/165.78 (define @t34 () (@list @t24 @t25 @t22 @t30)) % 165.44/165.78 (define @t35 () (tptp.c_lessequals @t25 @t30 @t26)) % 165.44/165.78 (define @t36 () (tptp.c_in @t23 @t25 @t22)) % 165.44/165.78 (define @t37 () (tptp.c_lessequals (tptp.c_insert @t23 @t24 @t22) @t25 @t26)) % 165.44/165.78 (define @t38 () (not @t37)) % 165.44/165.78 (define @t39 () (@list @t23 @t24 @t22 @t25)) % 165.44/165.78 (define @t40 () (tptp.c_lessequals @t24 @t25 @t26)) % 165.44/165.78 (define @t41 () (not @t40)) % 165.44/165.78 (define @t42 () (not (tptp.c_lessequals @t25 @t24 @t26))) % 165.44/165.78 (define @t43 () (or @t42 @t41 (= @t24 @t25))) % 165.44/165.78 (define @t44 () (forall @t28 @t43)) % 165.44/165.78 (define @t45 () (@var "T_1" $$unsorted)) % 165.44/165.78 (define @t46 () (tptp.c_Message_Oparts @t2)) % 165.44/165.78 (define @t47 () (tptp.c_Message_Oanalz @t46)) % 165.44/165.78 (define @t48 () (tptp.c_Message_Oparts @t47)) % 165.44/165.78 (define @t49 () (tptp.c_Message_Oparts @t1)) % 165.44/165.78 (define @t50 () (tptp.c_lessequals @t48 @t48 @t4)) % 165.44/165.78 (define @t51 () (tptp.class_Orderings_Oorder @t4)) % 165.44/165.78 (define @t52 () (not @t51)) % 165.44/165.78 (define @t53 () (or @t52 @t50)) % 165.44/165.78 (define @t54 () (@list false false)) % 165.44/165.78 (define @t55 () (tptp.c_lessequals @t47 @t48 @t4)) % 165.44/165.78 (define @t56 () (not @t50)) % 165.44/165.78 (define @t57 () (or @t56 @t55)) % 165.44/165.78 (define @t58 () (@list @t2)) % 165.44/165.78 (define @t59 () (tptp.c_union @t49 @t2 tptp.tc_Message_Omsg)) % 165.44/165.78 (define @t60 () (tptp.c_lessequals @t59 @t48 @t4)) % 165.44/165.78 (define @t61 () (tptp.c_lessequals @t2 @t48 @t4)) % 165.44/165.78 (define @t62 () (not @t60)) % 165.44/165.78 (define @t63 () (or @t62 @t61)) % 165.44/165.78 (define @t64 () (tptp.c_Message_Oparts (tptp.c_Message_Oanalz @t2))) % 165.44/165.78 (define @t65 () (tptp.c_lessequals @t64 @t64 @t4)) % 165.44/165.78 (define @t66 () (or @t52 @t65)) % 165.44/165.78 (define @t67 () (tptp.c_lessequals @t46 @t46 @t4)) % 165.44/165.78 (define @t68 () (tptp.c_lessequals @t64 @t46 @t4)) % 165.44/165.78 (define @t69 () (tptp.c_lessequals (tptp.c_Message_Oparts @t64) @t46 @t4)) % 165.44/165.78 (define @t70 () (not @t68)) % 165.44/165.78 (define @t71 () (or @t70 @t69)) % 165.44/165.78 (define @t72 () (tptp.c_lessequals @t48 @t47 @t4)) % 165.44/165.78 (define @t73 () (= @t47 @t48)) % 165.44/165.78 (define @t74 () (not @t72)) % 165.44/165.78 (define @t75 () (not @t55)) % 165.44/165.78 (define @t76 () (or @t75 @t74 @t73)) % 165.44/165.78 (define @t77 () (@list false false false)) % 165.44/165.78 (define @t78 () (tptp.c_insert tptp.v_X @t2 tptp.tc_Message_Omsg)) % 165.44/165.78 (define @t79 () (tptp.c_lessequals @t2 @t78 @t4)) % 165.44/165.78 (define @t80 () (not @t79)) % 165.44/165.78 (define @t81 () (tptp.c_lessequals @t78 @t2 @t4)) % 165.44/165.78 (define @t82 () (not @t81)) % 165.44/165.78 (define @t83 () (or @t82 @t80 (= @t78 @t2))) % 165.44/165.78 (define @t84 () (forall @t28 (or @t42 @t41 (= @t25 @t24)))) % 165.44/165.78 (define @t85 () (= @t2 @t78)) % 165.44/165.78 (define @t86 () (or @t82 @t80 @t85)) % 165.44/165.78 (define @t87 () (tptp.c_lessequals @t78 @t78 @t4)) % 165.44/165.78 (define @t88 () (or @t52 @t87)) % 165.44/165.78 (define @t89 () (not @t87)) % 165.44/165.78 (define @t90 () (or @t89 @t79)) % 165.44/165.78 (define @t91 () (tptp.c_lessequals @t2 @t2 @t4)) % 165.44/165.78 (define @t92 () (or @t52 @t91)) % 165.44/165.78 (define @t93 () (not @t91)) % 165.44/165.78 (define @t94 () (not @t3)) % 165.44/165.78 (define @t95 () (or @t94 @t93 @t81)) % 165.44/165.78 (define @t96 () (tptp.c_lessequals @t78 @t47 @t4)) % 165.44/165.78 (define @t97 () (tptp.c_union @t5 @t2 tptp.tc_Message_Omsg)) % 165.44/165.78 (define @t98 () (tptp.c_lessequals @t97 @t46 @t4)) % 165.44/165.78 (define @t99 () (tptp.c_lessequals @t5 @t46 @t4)) % 165.44/165.78 (define @t100 () (not @t98)) % 165.44/165.78 (define @t101 () (or @t100 @t99)) % 165.44/165.78 (define @t102 () (tptp.c_lessequals tptp.v_H @t46 @t4)) % 165.44/165.78 (define @t103 () (not @t99)) % 165.44/165.78 (define @t104 () (or @t103 @t102)) % 165.44/165.78 (define @t105 () (tptp.c_lessequals tptp.v_H @t47 @t4)) % 165.44/165.78 (define @t106 () (tptp.c_Message_Oanalz @t6)) % 165.44/165.78 (define @t107 () (tptp.c_Message_Oparts @t6)) % 165.44/165.78 (define @t108 () (@list @t2 @t5 tptp.tc_Message_Omsg @t6)) % 165.44/165.78 (define @t109 () (tptp.c_lessequals @t6 @t6 @t4)) % 165.44/165.78 (define @t110 () (or @t52 @t109)) % 165.44/165.78 (define @t111 () (tptp.c_lessequals @t5 @t6 @t4)) % 165.44/165.78 (define @t112 () (not @t109)) % 165.44/165.78 (define @t113 () (or @t112 @t111)) % 165.44/165.78 (define @t114 () (tptp.c_lessequals @t2 @t6 @t4)) % 165.44/165.78 (define @t115 () (or @t112 @t114)) % 165.44/165.78 (define @t116 () (tptp.c_lessequals @t97 @t6 @t4)) % 165.44/165.78 (define @t117 () (not @t111)) % 165.44/165.78 (define @t118 () (not @t114)) % 165.44/165.78 (define @t119 () (or @t118 @t117 @t116)) % 165.44/165.78 (define @t120 () (tptp.c_lessequals @t2 @t46 @t4)) % 165.44/165.78 (define @t121 () (not @t67)) % 165.44/165.78 (define @t122 () (or @t121 @t120)) % 165.44/165.78 (define @t123 () (tptp.c_lessequals @t6 @t46 @t4)) % 165.44/165.78 (define @t124 () (not @t120)) % 165.44/165.78 (define @t125 () (or @t103 @t124 @t123)) % 165.44/165.78 (define @t126 () (tptp.c_lessequals @t107 @t46 @t4)) % 165.44/165.78 (define @t127 () (not @t123)) % 165.44/165.78 (define @t128 () (or @t127 @t126)) % 165.44/165.78 (define @t129 () (tptp.c_lessequals @t107 @t107 @t4)) % 165.44/165.78 (define @t130 () (or @t52 @t129)) % 165.44/165.78 (define @t131 () (tptp.c_lessequals @t6 @t107 @t4)) % 165.44/165.78 (define @t132 () (not @t129)) % 165.44/165.78 (define @t133 () (or @t132 @t131)) % 165.44/165.78 (define @t134 () (tptp.c_lessequals @t2 @t107 @t4)) % 165.44/165.78 (define @t135 () (not @t131)) % 165.44/165.78 (define @t136 () (or @t135 @t134)) % 165.44/165.78 (define @t137 () (tptp.c_lessequals @t46 @t107 @t4)) % 165.44/165.78 (define @t138 () (not @t134)) % 165.44/165.78 (define @t139 () (or @t138 @t137)) % 165.44/165.78 (define @t140 () (= @t46 @t107)) % 165.44/165.78 (define @t141 () (not @t126)) % 165.44/165.78 (define @t142 () (not @t137)) % 165.44/165.78 (define @t143 () (or @t142 @t141 @t140)) % 165.44/165.78 (define @t144 () (tptp.c_lessequals @t107 @t6 @t4)) % 165.44/165.78 (define @t145 () (= @t6 @t107)) % 165.44/165.78 (define @t146 () (not @t144)) % 165.44/165.78 (define @t147 () (or @t135 @t146 @t145)) % 165.44/165.78 (define @t148 () (tptp.c_Message_Oparts @t106)) % 165.44/165.78 (define @t149 () (tptp.c_lessequals @t8 @t148 @t4)) % 165.44/165.78 (define @t150 () (not (tptp.c_lessequals @t7 @t148 @t4))) % 165.44/165.78 (define @t151 () (or @t150 @t149)) % 165.44/165.78 (define @t152 () (@list true false)) % 165.44/165.78 (define @t153 () (tptp.c_lessequals @t7 @t47 @t4)) % 165.44/165.78 (define @t154 () (not @t105)) % 165.44/165.78 (define @t155 () (tptp.c_in tptp.v_X @t47 tptp.tc_Message_Omsg)) % 165.44/165.78 (define @t156 () (not @t155)) % 165.44/165.78 (define @t157 () (or @t156 @t154 @t153)) % 165.44/165.78 (define @t158 () (not @t96)) % 165.44/165.78 (define @t159 () (or @t158 @t155)) % 165.44/165.78 (assume @p1 @t3) % 165.44/165.78 (assume @p2 (not (tptp.c_lessequals @t8 @t6 @t4))) % 165.44/165.78 (assume @p3 @t13) % 165.44/165.78 (assume @p4 (forall @t16 (or (not (tptp.c_lessequals (tptp.c_Message_Oanalz @t15) @t14 @t4)) (tptp.c_lessequals @t15 @t14 @t4)))) % 165.44/165.78 (assume @p5 @t18) % 165.44/165.78 (assume @p6 (forall @t16 (or (not @t20) @t19))) % 165.44/165.78 (assume @p7 (forall @t16 (or (not @t19) @t20))) % 165.44/165.78 (assume @p8 (forall @t12 (= (tptp.c_Message_Oparts @t21) (tptp.c_union @t10 @t21 tptp.tc_Message_Omsg)))) % 165.44/165.78 (assume @p9 (forall (@list @t22 @t23) (or (not (tptp.class_Orderings_Oorder @t22)) (tptp.c_lessequals @t23 @t23 @t22)))) % 165.44/165.78 (assume @p10 (forall @t28 (= (tptp.c_union @t27 @t24 @t22) (tptp.c_union @t25 @t24 @t22)))) % 165.44/165.78 (assume @p11 (forall (@list @t24 @t25 @t22) (= (tptp.c_union @t24 @t27 @t22) @t29))) % 165.44/165.78 (assume @p12 (forall @t34 (or @t33 @t31))) % 165.44/165.78 (assume @p13 (forall @t34 (or @t33 @t35))) % 165.44/165.78 (assume @p14 (forall (@list @t25 @t30 @t22 @t24) (or (not @t35) (not @t31) @t32))) % 165.44/165.78 (assume @p15 (forall @t39 (or @t38 @t36))) % 165.44/165.78 (assume @p16 (forall @t39 (or @t38 @t40))) % 165.44/165.78 (assume @p17 (forall (@list @t23 @t25 @t22 @t24) (or (not @t36) @t41 @t37))) % 165.44/165.78 (assume @p18 @t44) % 165.44/165.78 (assume @p19 (forall (@list @t45) (tptp.class_Orderings_Oorder (tptp.tc_set @t45)))) % 165.44/165.78 (step @p20 :rule evaluate :args ((= false true))) % 165.44/165.78 (step @p21 :rule instantiate :premises (@p13) :args ((@list @t49 @t2 tptp.tc_Message_Omsg @t48))) % 165.44/165.78 (step @p22 :rule instantiate :premises (@p6) :args ((@list @t47 @t47))) % 165.44/165.78 (step @p23 :rule instantiate :premises (@p9) :args ((@list @t4 @t48))) % 165.44/165.78 (step @p24 :rule instantiate :premises (@p19) :args ((@list tptp.tc_Message_Omsg))) % 165.44/165.78 (step @p25 :rule cnf_or_pos :args (@t53)) % 165.44/165.78 (step @p26 :rule reordering :premises (@p25) :args ((or @t52 @t50 (not @t53)))) % 165.44/165.78 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p23) :args (@t50 @t54 (@list @t51 @t53))) % 165.44/165.78 (step @p28 :rule cnf_or_pos :args (@t57)) % 165.44/165.78 (step @p29 :rule reordering :premises (@p28) :args ((or @t56 @t55 (not @t57)))) % 165.44/165.78 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p22) :args (@t55 @t54 (@list @t50 @t57))) % 165.44/165.78 (step @p31 :rule true_intro :premises (@p30)) % 165.44/165.78 (step @p32 :rule refl :args (@t4)) % 165.44/165.78 (step @p33 :rule refl :args (@t48)) % 165.44/165.78 (step @p34 :rule eq-symm :args (@t11 @t10)) % 165.44/165.78 (step @p35 :rule cong :premises (@p34) :args (@t13)) % 165.44/165.78 (step @p36 :rule eq_resolve :premises (@p3 @p35)) % 165.44/165.78 (step @p37 :rule instantiate :premises (@p36) :args (@t58)) % 165.44/165.78 (step @p38 :rule instantiate :premises (@p8) :args ((@list @t1))) % 165.44/165.78 (step @p39 :rule symm :premises (@p38)) % 165.44/165.78 (step @p40 :rule trans :premises (@p39 @p37)) % 165.44/165.78 (step @p41 :rule cong :premises (@p40 @p33 @p32) :args (@t60)) % 165.44/165.78 (step @p42 :rule trans :premises (@p41 @p31)) % 165.44/165.78 (step @p43 :rule true_elim :premises (@p42)) % 165.44/165.78 (step @p44 :rule cnf_or_pos :args (@t63)) % 165.44/165.78 (step @p45 :rule reordering :premises (@p44) :args ((or @t61 @t62 (not @t63)))) % 165.44/165.78 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p21) :args (@t61 @t54 (@list @t60 @t63))) % 165.44/165.78 (step @p47 :rule true_intro :premises (@p46)) % 165.44/165.78 (step @p48 :rule eq-symm :args (@t24 @t25)) % 165.44/165.78 (step @p49 :rule refl :args (@t41)) % 165.44/165.78 (step @p50 :rule refl :args (@t42)) % 165.44/165.78 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t43)) % 165.44/165.78 (step @p52 :rule cong :premises (@p51) :args (@t44)) % 165.44/165.78 (step @p53 :rule eq_resolve :premises (@p18 @p52)) % 165.44/165.78 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t47 @t48 tptp.tc_Message_Omsg))) % 165.44/165.78 (step @p55 :rule instantiate :premises (@p7) :args ((@list @t64 @t2))) % 165.44/165.78 (step @p56 :rule instantiate :premises (@p9) :args ((@list @t4 @t64))) % 165.44/165.78 (step @p57 :rule cnf_or_pos :args (@t66)) % 165.44/165.78 (step @p58 :rule reordering :premises (@p57) :args ((or @t52 @t65 (not @t66)))) % 165.44/165.78 (step @p59 :rule chain_m_resolution :premises (@p58 @p24 @p56) :args (@t65 @t54 (@list @t51 @t66))) % 165.44/165.78 (step @p60 :rule true_intro :premises (@p59)) % 165.44/165.78 (step @p61 :rule eq-symm :args (@t17 @t10)) % 165.44/165.78 (step @p62 :rule cong :premises (@p61) :args (@t18)) % 165.44/165.78 (step @p63 :rule eq_resolve :premises (@p5 @p62)) % 165.44/165.78 (step @p64 :rule instantiate :premises (@p63) :args (@t58)) % 165.44/165.78 (step @p65 :rule cong :premises (@p64 @p64 @p32) :args (@t67)) % 165.44/165.78 (step @p66 :rule refl :args (@t46)) % 165.44/165.78 (step @p67 :rule symm :premises (@p64)) % 165.44/165.78 (step @p68 :rule cong :premises (@p67 @p66 @p32) :args (@t68)) % 165.44/165.78 (step @p69 :rule trans :premises (@p68 @p65 @p60)) % 165.44/165.78 (step @p70 :rule true_elim :premises (@p69)) % 165.44/165.78 (step @p71 :rule cnf_or_pos :args (@t71)) % 165.44/165.78 (step @p72 :rule reordering :premises (@p71) :args ((or @t70 @t69 (not @t71)))) % 165.44/165.78 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p55) :args (@t69 @t54 (@list @t68 @t71))) % 165.44/165.78 (step @p74 :rule true_intro :premises (@p73)) % 165.44/165.78 (step @p75 :rule symm :premises (@p37)) % 165.44/165.78 (step @p76 :rule trans :premises (@p75 @p64)) % 165.44/165.78 (step @p77 :rule cong :premises (@p76) :args (@t48)) % 165.44/165.78 (step @p78 :rule cong :premises (@p77 @p75 @p32) :args (@t72)) % 165.44/165.78 (step @p79 :rule trans :premises (@p78 @p74)) % 165.44/165.78 (step @p80 :rule true_elim :premises (@p79)) % 165.44/165.78 (step @p81 :rule cnf_or_pos :args (@t76)) % 165.44/165.78 (step @p82 :rule reordering :premises (@p81) :args ((or @t75 @t74 @t73 (not @t76)))) % 165.44/165.78 (step @p83 :rule chain_m_resolution :premises (@p82 @p30 @p80 @p54) :args (@t73 @t77 (@list @t55 @t72 @t76))) % 165.44/165.78 (step @p84 :rule eq-symm :args (@t78 @t2)) % 165.44/165.78 (step @p85 :rule refl :args (@t80)) % 165.44/165.78 (step @p86 :rule refl :args (@t82)) % 165.44/165.78 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t83)) % 165.44/165.78 (step @p88 :rule refl :args (@t84)) % 165.44/165.78 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t84 @t83))) % 165.44/165.78 (assume-push @p235 @t84) % 165.44/165.78 (step @p91 :rule instantiate :premises (@p53) :args ((@list @t78 @t2 tptp.tc_Message_Omsg))) % 165.44/165.78 (step-pop @p236 :rule scope :premises (@p91)) % 165.44/165.78 (step @p92 :rule process_scope :premises (@p236) :args (@t83)) % 165.44/165.78 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 165.44/165.78 (step @p95 :rule implies_elim :premises (@p94)) % 165.44/165.78 (step @p96 :rule chain_m_resolution :premises (@p95 @p53) :args (@t86 (@list false) (@list @t84))) % 165.44/165.78 (step @p97 :rule instantiate :premises (@p16) :args ((@list tptp.v_X @t2 tptp.tc_Message_Omsg @t78))) % 165.44/165.78 (step @p98 :rule instantiate :premises (@p9) :args ((@list @t4 @t78))) % 165.44/165.78 (step @p99 :rule cnf_or_pos :args (@t88)) % 165.44/165.78 (step @p100 :rule reordering :premises (@p99) :args ((or @t52 @t87 (not @t88)))) % 165.44/165.78 (step @p101 :rule chain_m_resolution :premises (@p100 @p24 @p98) :args (@t87 @t54 (@list @t51 @t88))) % 165.44/165.78 (step @p102 :rule cnf_or_pos :args (@t90)) % 165.44/165.78 (step @p103 :rule reordering :premises (@p102) :args ((or @t79 @t89 (not @t90)))) % 165.44/165.78 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p97) :args (@t79 @t54 (@list @t87 @t90))) % 165.44/165.78 (step @p105 :rule instantiate :premises (@p17) :args ((@list tptp.v_X @t2 tptp.tc_Message_Omsg @t2))) % 165.44/165.78 (step @p106 :rule instantiate :premises (@p9) :args ((@list @t4 @t2))) % 165.44/165.78 (step @p107 :rule cnf_or_pos :args (@t92)) % 165.44/165.78 (step @p108 :rule reordering :premises (@p107) :args ((or @t52 @t91 (not @t92)))) % 165.44/165.78 (step @p109 :rule chain_m_resolution :premises (@p108 @p24 @p106) :args (@t91 @t54 (@list @t51 @t92))) % 165.44/165.78 (step @p110 :rule cnf_or_pos :args (@t95)) % 165.44/165.78 (step @p111 :rule reordering :premises (@p110) :args ((or @t94 @t93 @t81 (not @t95)))) % 165.44/165.78 (step @p112 :rule chain_m_resolution :premises (@p111 @p1 @p109 @p105) :args (@t81 @t77 (@list @t3 @t91 @t95))) % 165.44/165.78 (step @p113 :rule cnf_or_pos :args (@t86)) % 165.44/165.78 (step @p114 :rule reordering :premises (@p113) :args ((or @t82 @t80 @t85 (not @t86)))) % 165.44/165.78 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p104 @p96) :args (@t85 @t77 (@list @t81 @t79 @t86))) % 165.44/165.78 (step @p116 :rule symm :premises (@p115)) % 165.44/165.78 (step @p117 :rule cong :premises (@p116 @p83 @p32) :args (@t96)) % 165.44/165.78 (step @p118 :rule instantiate :premises (@p15) :args ((@list tptp.v_X @t2 tptp.tc_Message_Omsg @t47))) % 165.44/165.78 (step @p119 :rule instantiate :premises (@p17) :args ((@list tptp.v_X @t47 tptp.tc_Message_Omsg tptp.v_H))) % 165.44/165.78 (step @p120 :rule instantiate :premises (@p6) :args ((@list tptp.v_H @t2))) % 165.44/165.78 (step @p121 :rule instantiate :premises (@p12) :args ((@list @t5 @t2 tptp.tc_Message_Omsg @t46))) % 165.44/165.78 (step @p122 :rule refl :args (tptp.tc_Message_Omsg)) % 165.44/165.78 (step @p123 :rule refl :args (@t2)) % 165.44/165.78 (step @p124 :rule instantiate :premises (@p63) :args ((@list tptp.v_H))) % 165.44/165.78 (step @p125 :rule cong :premises (@p124 @p123 @p122) :args (@t97)) % 165.44/165.78 (step @p126 :rule trans :premises (@p125 @p39)) % 165.44/165.78 (step @p127 :rule cong :premises (@p126 @p66 @p32) :args (@t98)) % 165.44/165.78 (step @p128 :rule trans :premises (@p127 @p65 @p60)) % 165.44/165.78 (step @p129 :rule true_elim :premises (@p128)) % 165.44/165.78 (step @p130 :rule cnf_or_pos :args (@t101)) % 165.44/165.78 (step @p131 :rule reordering :premises (@p130) :args ((or @t99 @t100 (not @t101)))) % 165.44/165.78 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p121) :args (@t99 @t54 (@list @t98 @t101))) % 165.44/165.78 (step @p133 :rule cnf_or_pos :args (@t104)) % 165.44/165.78 (step @p134 :rule reordering :premises (@p133) :args ((or @t102 @t103 (not @t104)))) % 165.44/165.78 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p120) :args (@t102 @t54 (@list @t99 @t104))) % 165.44/165.78 (step @p136 :rule true_intro :premises (@p135)) % 165.44/165.78 (step @p137 :rule refl :args (tptp.v_H)) % 165.44/165.78 (step @p138 :rule cong :premises (@p137 @p75 @p32) :args (@t105)) % 165.44/165.78 (step @p139 :rule trans :premises (@p138 @p136)) % 165.44/165.78 (step @p140 :rule true_elim :premises (@p139)) % 165.44/165.78 (step @p141 :rule instantiate :premises (@p7) :args ((@list @t7 @t106))) % 165.44/165.78 (step @p142 :rule false_intro :premises (@p2)) % 165.44/165.78 (step @p143 :rule instantiate :premises (@p53) :args ((@list @t6 @t107 tptp.tc_Message_Omsg))) % 165.44/165.78 (step @p144 :rule instantiate :premises (@p14) :args ((@list @t2 @t6 tptp.tc_Message_Omsg @t5))) % 165.44/165.78 (step @p145 :rule instantiate :premises (@p13) :args (@t108)) % 165.44/165.78 (step @p146 :rule instantiate :premises (@p9) :args ((@list @t4 @t6))) % 165.44/165.78 (step @p147 :rule cnf_or_pos :args (@t110)) % 165.44/165.78 (step @p148 :rule reordering :premises (@p147) :args ((or @t52 @t109 (not @t110)))) % 165.44/165.78 (step @p149 :rule chain_m_resolution :premises (@p148 @p24 @p146) :args (@t109 @t54 (@list @t51 @t110))) % 165.44/165.78 (step @p150 :rule cnf_or_pos :args (@t113)) % 165.44/165.78 (step @p151 :rule reordering :premises (@p150) :args ((or @t112 @t111 (not @t113)))) % 165.44/165.78 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p145) :args (@t111 @t54 (@list @t109 @t113))) % 165.44/165.78 (step @p153 :rule instantiate :premises (@p12) :args (@t108)) % 165.44/165.78 (step @p154 :rule cnf_or_pos :args (@t115)) % 165.44/165.78 (step @p155 :rule reordering :premises (@p154) :args ((or @t112 @t114 (not @t115)))) % 165.44/165.78 (step @p156 :rule chain_m_resolution :premises (@p155 @p149 @p153) :args (@t114 @t54 (@list @t109 @t115))) % 165.44/165.78 (step @p157 :rule cnf_or_pos :args (@t119)) % 165.44/165.78 (step @p158 :rule reordering :premises (@p157) :args ((or @t118 @t117 @t116 (not @t119)))) % 165.44/165.78 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p152 @p144) :args (@t116 @t77 (@list @t114 @t111 @t119))) % 165.44/165.78 (step @p160 :rule true_intro :premises (@p159)) % 165.44/165.78 (step @p161 :rule refl :args (@t6)) % 165.44/165.78 (step @p162 :rule symm :premises (@p124)) % 165.44/165.78 (step @p163 :rule cong :premises (@p162 @p123 @p122) :args (@t59)) % 165.44/165.78 (step @p164 :rule trans :premises (@p38 @p163)) % 165.44/165.78 (step @p165 :rule instantiate :premises (@p53) :args ((@list @t46 @t107 tptp.tc_Message_Omsg))) % 165.44/165.78 (step @p166 :rule instantiate :premises (@p7) :args ((@list @t6 @t2))) % 165.44/165.78 (step @p167 :rule instantiate :premises (@p14) :args ((@list @t5 @t46 tptp.tc_Message_Omsg @t2))) % 165.44/165.78 (step @p168 :rule instantiate :premises (@p6) :args ((@list @t2 @t2))) % 165.44/165.78 (step @p169 :rule trans :premises (@p65 @p60)) % 165.44/165.78 (step @p170 :rule true_elim :premises (@p169)) % 165.44/165.78 (step @p171 :rule cnf_or_pos :args (@t122)) % 165.44/165.78 (step @p172 :rule reordering :premises (@p171) :args ((or @t121 @t120 (not @t122)))) % 165.44/165.78 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p168) :args (@t120 @t54 (@list @t67 @t122))) % 165.44/165.78 (step @p174 :rule cnf_or_pos :args (@t125)) % 165.44/165.78 (step @p175 :rule reordering :premises (@p174) :args ((or @t103 @t124 @t123 (not @t125)))) % 165.44/165.78 (step @p176 :rule chain_m_resolution :premises (@p175 @p132 @p173 @p167) :args (@t123 @t77 (@list @t99 @t120 @t125))) % 165.44/165.78 (step @p177 :rule cnf_or_pos :args (@t128)) % 165.44/165.78 (step @p178 :rule reordering :premises (@p177) :args ((or @t127 @t126 (not @t128)))) % 165.44/165.78 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p166) :args (@t126 @t54 (@list @t123 @t128))) % 165.44/165.78 (step @p180 :rule instantiate :premises (@p7) :args ((@list @t2 @t6))) % 165.44/165.78 (step @p181 :rule instantiate :premises (@p12) :args ((@list @t2 @t5 tptp.tc_Message_Omsg @t107))) % 165.44/165.78 (step @p182 :rule instantiate :premises (@p6) :args ((@list @t6 @t6))) % 165.44/165.78 (step @p183 :rule instantiate :premises (@p9) :args ((@list @t4 @t107))) % 165.44/165.78 (step @p184 :rule cnf_or_pos :args (@t130)) % 165.44/165.78 (step @p185 :rule reordering :premises (@p184) :args ((or @t52 @t129 (not @t130)))) % 165.44/165.78 (step @p186 :rule chain_m_resolution :premises (@p185 @p24 @p183) :args (@t129 @t54 (@list @t51 @t130))) % 165.44/165.78 (step @p187 :rule cnf_or_pos :args (@t133)) % 165.44/165.78 (step @p188 :rule reordering :premises (@p187) :args ((or @t132 @t131 (not @t133)))) % 165.44/165.78 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p182) :args (@t131 @t54 (@list @t129 @t133))) % 165.44/165.78 (step @p190 :rule cnf_or_pos :args (@t136)) % 165.44/165.78 (step @p191 :rule reordering :premises (@p190) :args ((or @t135 @t134 (not @t136)))) % 165.44/165.78 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p181) :args (@t134 @t54 (@list @t131 @t136))) % 165.44/165.78 (step @p193 :rule cnf_or_pos :args (@t139)) % 165.44/165.78 (step @p194 :rule reordering :premises (@p193) :args ((or @t137 @t138 (not @t139)))) % 165.44/165.78 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p180) :args (@t137 @t54 (@list @t134 @t139))) % 165.44/165.78 (step @p196 :rule cnf_or_pos :args (@t143)) % 165.44/165.78 (step @p197 :rule reordering :premises (@p196) :args ((or @t142 @t141 @t140 (not @t143)))) % 165.44/165.78 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p179 @p165) :args (@t140 @t77 (@list @t137 @t126 @t143))) % 165.44/165.78 (step @p199 :rule symm :premises (@p198)) % 165.44/165.78 (step @p200 :rule trans :premises (@p199 @p164)) % 165.44/165.78 (step @p201 :rule cong :premises (@p200 @p161 @p32) :args (@t144)) % 165.44/165.78 (step @p202 :rule trans :premises (@p201 @p160)) % 165.44/165.78 (step @p203 :rule true_elim :premises (@p202)) % 165.44/165.78 (step @p204 :rule cnf_or_pos :args (@t147)) % 165.44/165.78 (step @p205 :rule reordering :premises (@p204) :args ((or @t135 @t146 @t145 (not @t147)))) % 165.44/165.78 (step @p206 :rule chain_m_resolution :premises (@p205 @p189 @p203 @p143) :args (@t145 @t77 (@list @t131 @t144 @t147))) % 165.44/165.78 (step @p207 :rule symm :premises (@p206)) % 165.44/165.78 (step @p208 :rule refl :args (@t8)) % 165.44/165.78 (step @p209 :rule cong :premises (@p208 @p207 @p32) :args ((tptp.c_lessequals @t8 @t107 @t4))) % 165.44/165.78 (step @p210 :rule instantiate :premises (@p63) :args ((@list @t6))) % 165.44/165.78 (step @p211 :rule symm :premises (@p210)) % 165.44/165.78 (step @p212 :rule cong :premises (@p208 @p211 @p32) :args (@t149)) % 165.44/165.78 (step @p213 :rule trans :premises (@p212 @p209 @p142)) % 165.44/165.78 (step @p214 :rule false_elim :premises (@p213)) % 165.44/165.78 (step @p215 :rule cnf_or_pos :args (@t151)) % 165.44/165.78 (step @p216 :rule reordering :premises (@p215) :args ((or @t150 @t149 (not @t151)))) % 165.44/165.78 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p141) :args (@t150 @t152 (@list @t149 @t151))) % 165.44/165.78 (step @p218 :rule false_intro :premises (@p217)) % 165.44/165.78 (step @p219 :rule refl :args (@t7)) % 165.44/165.78 (step @p220 :rule cong :premises (@p219 @p210 @p32) :args ((tptp.c_lessequals @t7 @t107 @t4))) % 165.44/165.78 (step @p221 :rule cong :premises (@p219 @p198 @p32) :args ((tptp.c_lessequals @t7 @t46 @t4))) % 165.44/165.78 (step @p222 :rule cong :premises (@p219 @p75 @p32) :args (@t153)) % 165.44/165.78 (step @p223 :rule trans :premises (@p222 @p221 @p220 @p218)) % 165.44/165.78 (step @p224 :rule false_elim :premises (@p223)) % 165.44/165.78 (step @p225 :rule cnf_or_pos :args (@t157)) % 165.44/165.78 (step @p226 :rule reordering :premises (@p225) :args ((or @t153 @t156 @t154 (not @t157)))) % 165.44/165.78 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p140 @p119) :args (@t156 (@list true false false) (@list @t153 @t105 @t157))) % 165.44/165.78 (step @p228 :rule cnf_or_pos :args (@t159)) % 165.44/165.78 (step @p229 :rule reordering :premises (@p228) :args ((or @t155 @t158 (not @t159)))) % 165.44/165.78 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p118) :args (@t158 @t152 (@list @t155 @t159))) % 165.44/165.78 (step @p231 :rule false_intro :premises (@p230)) % 165.44/165.78 (step @p232 :rule symm :premises (@p231)) % 165.44/165.78 (step @p233 :rule trans :premises (@p232 @p117 @p47)) % 165.44/165.78 (step @p234 false :rule eq_resolve :premises (@p233 @p20)) % 165.44/165.78 ) % 165.44/165.79 % SZS output end Proof % 165.44/165.79 % cvc5 exiting %------------------------------------------------------------------------------