%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO177+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:16:33 AM UTC 2026 % Result : Theorem 0.63s 0.83s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : GEO177+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 23:38:45 EDT 2026 % 0.18/0.36 % CPUTime : % 0.33/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.63/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.83 % SZS status Theorem % 0.63/0.83 % SZS output start Proof % 0.63/0.83 ( % 0.63/0.83 (declare-sort $$unsorted 0) % 0.63/0.83 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.line (-> $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.point (-> $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (define @t1 () (@var "X" $$unsorted)) % 0.63/0.83 (define @t2 () (@list @t1)) % 0.63/0.83 (define @t3 () (@var "Z" $$unsorted)) % 0.63/0.83 (define @t4 () (@var "Y" $$unsorted)) % 0.63/0.83 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.63/0.83 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.63/0.83 (define @t7 () (@list @t1 @t4 @t3)) % 0.63/0.83 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.63/0.83 (define @t9 () (tptp.distinct_lines @t1 @t3)) % 0.63/0.83 (define @t10 () (or @t9 @t8)) % 0.63/0.83 (define @t11 () (tptp.distinct_lines @t1 @t4)) % 0.63/0.83 (define @t12 () (forall @t7 (=> @t11 @t10))) % 0.63/0.83 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.63/0.83 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.63/0.83 (define @t15 () (tptp.convergent_lines @t1 @t4)) % 0.63/0.83 (define @t16 () (tptp.line_connecting @t1 @t4)) % 0.63/0.83 (define @t17 () (not (tptp.apart_point_and_line @t1 @t16))) % 0.63/0.83 (define @t18 () (@list @t1 @t4)) % 0.63/0.83 (define @t19 () (forall @t18 (=> @t6 @t17))) % 0.63/0.83 (define @t20 () (not (tptp.apart_point_and_line @t4 @t16))) % 0.63/0.83 (define @t21 () (forall @t18 (=> @t6 @t20))) % 0.63/0.83 (define @t22 () (tptp.intersection_point @t1 @t4)) % 0.63/0.83 (define @t23 () (@var "V" $$unsorted)) % 0.63/0.83 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.63/0.83 (define @t25 () (@var "U" $$unsorted)) % 0.63/0.83 (define @t26 () (tptp.apart_point_and_line @t4 @t25)) % 0.63/0.83 (define @t27 () (tptp.apart_point_and_line @t1 @t23)) % 0.63/0.83 (define @t28 () (tptp.apart_point_and_line @t1 @t25)) % 0.63/0.83 (define @t29 () (or @t28 @t27 @t26 @t24)) % 0.63/0.83 (define @t30 () (tptp.distinct_lines @t25 @t23)) % 0.63/0.83 (define @t31 () (and @t6 @t30)) % 0.63/0.83 (define @t32 () (@list @t1 @t4 @t25 @t23)) % 0.63/0.83 (define @t33 () (forall @t32 (=> @t31 @t29))) % 0.63/0.83 (define @t34 () (tptp.apart_point_and_line @t1 @t4)) % 0.63/0.83 (define @t35 () (tptp.apart_point_and_line @t1 @t3)) % 0.63/0.83 (define @t36 () (or @t8 @t35)) % 0.63/0.83 (define @t37 () (forall @t7 (=> @t34 @t36))) % 0.63/0.83 (define @t38 () (forall @t18 (=> @t11 @t15))) % 0.63/0.83 (define @t39 () (tptp.parallel_through_point @t4 @t1)) % 0.63/0.83 (define @t40 () (@var "M" $$unsorted)) % 0.63/0.83 (define @t41 () (@var "L" $$unsorted)) % 0.63/0.83 (define @t42 () (tptp.unorthogonal_lines @t41 @t40)) % 0.63/0.83 (define @t43 () (tptp.convergent_lines @t41 @t40)) % 0.63/0.83 (define @t44 () (@list @t41 @t40)) % 0.63/0.83 (define @t45 () (@var "N" $$unsorted)) % 0.63/0.83 (define @t46 () (tptp.unorthogonal_lines @t40 @t45)) % 0.63/0.83 (define @t47 () (tptp.convergent_lines @t40 @t45)) % 0.63/0.83 (define @t48 () (tptp.unorthogonal_lines @t41 @t45)) % 0.63/0.83 (define @t49 () (tptp.convergent_lines @t41 @t45)) % 0.63/0.83 (define @t50 () (@list @t41 @t40 @t45)) % 0.63/0.83 (define @t51 () (@var "A" $$unsorted)) % 0.63/0.83 (define @t52 () (tptp.orthogonal_through_point @t41 @t51)) % 0.63/0.83 (define @t53 () (@list @t51 @t41)) % 0.63/0.83 (define @t54 () (not @t42)) % 0.63/0.83 (define @t55 () (not @t43)) % 0.63/0.83 (define @t56 () (not @t47)) % 0.63/0.83 (define @t57 () (not @t48)) % 0.63/0.83 (define @t58 () (@var "B" $$unsorted)) % 0.63/0.83 (define @t59 () (tptp.point @t51)) % 0.63/0.83 (define @t60 () (tptp.line @t41)) % 0.63/0.83 (define @t61 () (and @t60 @t59)) % 0.63/0.83 (define @t62 () (@list @t41 @t51)) % 0.63/0.83 (define @t63 () (not @t6)) % 0.63/0.83 (define @t64 () (not @t11)) % 0.63/0.83 (define @t65 () (not @t34)) % 0.63/0.83 (define @t66 () (tptp.apart_point_and_line @t23 @t16)) % 0.63/0.83 (define @t67 () (tptp.apart_point_and_line @t25 @t16)) % 0.63/0.83 (define @t68 () (or @t67 @t66)) % 0.63/0.83 (define @t69 () (tptp.line_connecting @t25 @t23)) % 0.63/0.83 (define @t70 () (tptp.apart_point_and_line @t4 @t69)) % 0.63/0.83 (define @t71 () (tptp.apart_point_and_line @t1 @t69)) % 0.63/0.83 (define @t72 () (or @t71 @t70)) % 0.63/0.83 (define @t73 () (=> @t72 @t68)) % 0.63/0.83 (define @t74 () (tptp.distinct_points @t25 @t23)) % 0.63/0.83 (define @t75 () (and @t6 @t74)) % 0.63/0.83 (define @t76 () (forall @t32 (=> @t75 @t73))) % 0.63/0.83 (define @t77 () (not @t76)) % 0.63/0.83 (define @t78 () (not @t30)) % 0.63/0.83 (define @t79 () (or @t63 @t78 @t28 @t27 @t26 @t24)) % 0.63/0.83 (define @t80 () (and (not @t71) (not @t70))) % 0.63/0.83 (define @t81 () (not @t74)) % 0.63/0.83 (define @t82 () (or @t63 @t81 @t80 @t67 @t66)) % 0.63/0.83 (define @t83 () (forall @t32 @t82)) % 0.63/0.83 (define @t84 () (@quantifiers_skolemize @t83 3)) % 0.63/0.83 (define @t85 () (@quantifiers_skolemize @t83 2)) % 0.63/0.83 (define @t86 () (tptp.line_connecting @t85 @t84)) % 0.63/0.83 (define @t87 () (@quantifiers_skolemize @t83 0)) % 0.63/0.83 (define @t88 () (tptp.parallel_through_point @t86 @t87)) % 0.63/0.83 (define @t89 () (@list @t87 @t86)) % 0.63/0.83 (define @t90 () (tptp.convergent_lines @t88 @t86)) % 0.63/0.83 (define @t91 () (tptp.distinct_lines @t88 @t86)) % 0.63/0.83 (define @t92 () (not @t91)) % 0.63/0.83 (define @t93 () (or @t92 @t90)) % 0.63/0.83 (define @t94 () (@list true false)) % 0.63/0.83 (define @t95 () (@list @t85 @t84)) % 0.63/0.83 (define @t96 () (or @t80 @t67 @t66)) % 0.63/0.83 (define @t97 () (tptp.distinct_points @t85 @t84)) % 0.63/0.83 (define @t98 () (@quantifiers_skolemize @t83 1)) % 0.63/0.83 (define @t99 () (tptp.line_connecting @t87 @t98)) % 0.63/0.83 (define @t100 () (tptp.apart_point_and_line @t84 @t99)) % 0.63/0.83 (define @t101 () (tptp.apart_point_and_line @t85 @t99)) % 0.63/0.83 (define @t102 () (tptp.apart_point_and_line @t98 @t86)) % 0.63/0.83 (define @t103 () (not @t102)) % 0.63/0.83 (define @t104 () (tptp.apart_point_and_line @t87 @t86)) % 0.63/0.83 (define @t105 () (not @t104)) % 0.63/0.83 (define @t106 () (and @t105 @t103)) % 0.63/0.83 (define @t107 () (not @t97)) % 0.63/0.83 (define @t108 () (tptp.distinct_points @t87 @t98)) % 0.63/0.83 (define @t109 () (not @t108)) % 0.63/0.83 (define @t110 () (or @t109 @t107 @t106 @t101 @t100)) % 0.63/0.83 (define @t111 () (@list true)) % 0.63/0.83 (define @t112 () (@list @t110)) % 0.63/0.83 (define @t113 () (tptp.apart_point_and_line @t85 @t86)) % 0.63/0.83 (define @t114 () (not @t113)) % 0.63/0.83 (define @t115 () (or @t107 @t114)) % 0.63/0.83 (define @t116 () (@list false false)) % 0.63/0.83 (define @t117 () (tptp.apart_point_and_line @t85 @t88)) % 0.63/0.83 (define @t118 () (not @t117)) % 0.63/0.83 (define @t119 () (or @t118 @t91 @t113)) % 0.63/0.83 (define @t120 () (@list true true false)) % 0.63/0.83 (define @t121 () (tptp.apart_point_and_line @t84 @t86)) % 0.63/0.83 (define @t122 () (not @t121)) % 0.63/0.83 (define @t123 () (or @t107 @t122)) % 0.63/0.83 (define @t124 () (tptp.apart_point_and_line @t84 @t88)) % 0.63/0.83 (define @t125 () (not @t124)) % 0.63/0.83 (define @t126 () (or @t125 @t91 @t121)) % 0.63/0.83 (define @t127 () (tptp.distinct_lines @t86 @t86)) % 0.63/0.83 (define @t128 () (tptp.distinct_lines @t86 @t88)) % 0.63/0.83 (define @t129 () (not @t128)) % 0.63/0.83 (define @t130 () (or @t129 @t127 @t91)) % 0.63/0.83 (define @t131 () (tptp.apart_point_and_line @t87 @t88)) % 0.63/0.83 (define @t132 () (or @t105 @t128 @t131)) % 0.63/0.83 (define @t133 () (tptp.apart_point_and_line @t98 @t88)) % 0.63/0.83 (define @t134 () (or @t103 @t128 @t133)) % 0.63/0.83 (define @t135 () (tptp.apart_point_and_line @t98 @t99)) % 0.63/0.83 (define @t136 () (not @t135)) % 0.63/0.83 (define @t137 () (or @t109 @t136)) % 0.63/0.83 (define @t138 () (tptp.distinct_lines @t88 @t99)) % 0.63/0.83 (define @t139 () (not @t133)) % 0.63/0.83 (define @t140 () (or @t139 @t138 @t135)) % 0.63/0.83 (define @t141 () (not @t138)) % 0.63/0.83 (define @t142 () (or @t107 @t141 @t117 @t101 @t124 @t100)) % 0.63/0.83 (define @t143 () (not @t142)) % 0.63/0.83 (define @t144 () (forall @t32 @t79)) % 0.63/0.83 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.63/0.83 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.63/0.83 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.63/0.83 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.63/0.83 (assume @p5 @t12) % 0.63/0.83 (assume @p6 (forall @t7 (=> @t15 (or @t14 @t13)))) % 0.63/0.83 (assume @p7 @t19) % 0.63/0.83 (assume @p8 @t21) % 0.63/0.83 (assume @p9 (forall @t18 (=> @t15 (not (tptp.apart_point_and_line @t22 @t1))))) % 0.63/0.83 (assume @p10 (forall @t18 (=> @t15 (not (tptp.apart_point_and_line @t22 @t4))))) % 0.63/0.83 (assume @p11 @t33) % 0.63/0.83 (assume @p12 (forall @t7 (=> @t34 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.63/0.83 (assume @p13 @t37) % 0.63/0.83 (assume @p14 (forall @t7 (=> @t15 (or @t8 @t14)))) % 0.63/0.83 (assume @p15 @t38) % 0.63/0.83 (assume @p16 (forall @t18 (not (tptp.convergent_lines @t39 @t4)))) % 0.63/0.83 (assume @p17 (forall @t18 (not (tptp.apart_point_and_line @t1 @t39)))) % 0.63/0.83 (assume @p18 (forall @t7 (=> @t8 (or @t34 @t35 @t13)))) % 0.63/0.83 (assume @p19 (forall @t44 (or @t43 @t42))) % 0.63/0.83 (assume @p20 (forall @t50 (=> (and @t43 @t42) (or (and @t49 @t48) (and @t47 @t46))))) % 0.63/0.83 (assume @p21 (forall @t53 (not (tptp.unorthogonal_lines @t52 @t41)))) % 0.63/0.83 (assume @p22 (forall @t53 (not (tptp.apart_point_and_line @t51 @t52)))) % 0.63/0.83 (assume @p23 (forall (@list @t51 @t41 @t40 @t45) (=> (tptp.distinct_lines @t41 @t40) (or (tptp.apart_point_and_line @t51 @t41) (tptp.apart_point_and_line @t51 @t40) @t48 @t46)))) % 0.63/0.83 (assume @p24 (forall @t44 (not (and @t55 @t54)))) % 0.63/0.83 (assume @p25 (forall @t50 (=> (and (or @t55 @t54) (or (not @t49) @t57)) (or @t56 (not @t46))))) % 0.63/0.83 (assume @p26 (forall @t50 (=> (and @t54 @t57) @t56))) % 0.63/0.83 (assume @p27 (forall (@list @t51 @t58) (=> (and @t59 (tptp.point @t58) (tptp.distinct_points @t51 @t58)) (tptp.line (tptp.line_connecting @t51 @t58))))) % 0.63/0.83 (assume @p28 (forall @t44 (=> (and @t60 (tptp.line @t40) @t43) (tptp.point (tptp.intersection_point @t41 @t40))))) % 0.63/0.83 (assume @p29 (forall @t62 (=> @t61 (tptp.line (tptp.parallel_through_point @t41 @t51))))) % 0.63/0.83 (assume @p30 (forall @t62 (=> @t61 (tptp.line @t52)))) % 0.63/0.83 (assume @p31 (forall @t18 (= (tptp.equal_points @t1 @t4) @t63))) % 0.63/0.83 (assume @p32 (forall @t18 (= (tptp.equal_lines @t1 @t4) @t64))) % 0.63/0.83 (assume @p33 (forall @t18 (= (tptp.parallel_lines @t1 @t4) (not @t15)))) % 0.63/0.83 (assume @p34 (forall @t18 (= (tptp.incident_point_and_line @t1 @t4) @t65))) % 0.63/0.83 (assume @p35 (forall @t18 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.63/0.83 (assume @p36 @t77) % 0.63/0.83 (assume @p37 true) % 0.63/0.83 (step @p38 :rule aci_norm :args ((= (or (or @t63 @t78) @t29) @t79))) % 0.63/0.83 (step @p39 :rule refl :args (@t29)) % 0.63/0.83 (step @p40 :rule bool-and-de-morgan :args (@t6 @t30 true)) % 0.63/0.83 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t31) @t29))) % 0.63/0.83 (step @p42 :rule trans :premises (@p41 @p38)) % 0.63/0.83 (step @p43 :rule bool-impl-elim :args (@t31 @t29)) % 0.63/0.83 (step @p44 :rule trans :premises (@p43 @p42)) % 0.63/0.83 (step @p45 :rule cong :premises (@p44) :args (@t33)) % 0.63/0.83 (step @p46 :rule eq_resolve :premises (@p11 @p45)) % 0.63/0.83 (step @p47 :rule aci_norm :args ((= (or @t65 @t36) (or @t65 @t8 @t35)))) % 0.63/0.83 (step @p48 :rule bool-impl-elim :args (@t34 @t36)) % 0.63/0.83 (step @p49 :rule trans :premises (@p48 @p47)) % 0.63/0.83 (step @p50 :rule cong :premises (@p49) :args (@t37)) % 0.63/0.83 (step @p51 :rule eq_resolve :premises (@p13 @p50)) % 0.63/0.83 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t85 @t88 @t86))) % 0.63/0.83 (step @p53 :rule bool-impl-elim :args (@t11 @t15)) % 0.63/0.83 (step @p54 :rule cong :premises (@p53) :args (@t38)) % 0.63/0.83 (step @p55 :rule eq_resolve :premises (@p15 @p54)) % 0.63/0.83 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t88 @t86))) % 0.63/0.83 (step @p57 :rule instantiate :premises (@p16) :args (@t89)) % 0.63/0.83 (step @p58 :rule cnf_or_pos :args (@t93)) % 0.63/0.83 (step @p59 :rule reordering :premises (@p58) :args ((or @t90 @t92 (not @t93)))) % 0.63/0.83 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56) :args (@t92 @t94 (@list @t90 @t93))) % 0.63/0.83 (step @p61 :rule bool-impl-elim :args (@t6 @t17)) % 0.63/0.83 (step @p62 :rule cong :premises (@p61) :args (@t19)) % 0.63/0.83 (step @p63 :rule eq_resolve :premises (@p7 @p62)) % 0.63/0.83 (step @p64 :rule instantiate :premises (@p63) :args (@t95)) % 0.63/0.83 (step @p65 :rule aci_norm :args ((= (or (or @t63 @t81) @t96) @t82))) % 0.63/0.83 (step @p66 :rule aci_norm :args ((= (or @t80 @t68) @t96))) % 0.63/0.83 (step @p67 :rule refl :args (@t68)) % 0.63/0.83 (step @p68 :rule bool-or-de-morgan :args (@t71 @t70 false)) % 0.63/0.83 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t72) @t68))) % 0.63/0.83 (step @p70 :rule trans :premises (@p69 @p66)) % 0.63/0.83 (step @p71 :rule bool-impl-elim :args (@t72 @t68)) % 0.63/0.83 (step @p72 :rule trans :premises (@p71 @p70)) % 0.63/0.83 (step @p73 :rule bool-and-de-morgan :args (@t6 @t74 true)) % 0.63/0.83 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t75) @t73))) % 0.63/0.83 (step @p75 :rule trans :premises (@p74 @p65)) % 0.63/0.83 (step @p76 :rule bool-impl-elim :args (@t75 @t73)) % 0.63/0.83 (step @p77 :rule trans :premises (@p76 @p75)) % 0.63/0.83 (step @p78 :rule cong :premises (@p77) :args (@t76)) % 0.63/0.83 (step @p79 :rule cong :premises (@p78) :args (@t77)) % 0.63/0.83 (step @p80 :rule eq_resolve :premises (@p36 @p79)) % 0.63/0.83 (step @p81 :rule skolemize :premises (@p80)) % 0.63/0.83 (step @p82 :rule bool-double-not-elim :args (@t97)) % 0.63/0.83 (step @p83 :rule refl :args (@t110)) % 0.63/0.83 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t110 (not @t107)))) % 0.63/0.83 (step @p85 :rule cnf_or_neg :args (@t110 1)) % 0.63/0.83 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.63/0.83 (step @p87 :rule reordering :premises (@p86) :args ((or @t97 @t110))) % 0.63/0.83 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t97 @t111 @t112)) % 0.63/0.83 (step @p89 :rule cnf_or_pos :args (@t115)) % 0.63/0.83 (step @p90 :rule reordering :premises (@p89) :args ((or @t107 @t114 (not @t115)))) % 0.63/0.83 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p64) :args (@t114 @t116 (@list @t97 @t115))) % 0.63/0.83 (step @p92 :rule cnf_or_pos :args (@t119)) % 0.63/0.83 (step @p93 :rule reordering :premises (@p92) :args ((or @t113 @t91 @t118 (not @t119)))) % 0.63/0.83 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p60 @p52) :args (@t118 @t120 (@list @t113 @t91 @t119))) % 0.63/0.83 (step @p95 :rule instantiate :premises (@p51) :args ((@list @t84 @t88 @t86))) % 0.63/0.83 (step @p96 :rule bool-impl-elim :args (@t6 @t20)) % 0.63/0.83 (step @p97 :rule cong :premises (@p96) :args (@t21)) % 0.63/0.83 (step @p98 :rule eq_resolve :premises (@p8 @p97)) % 0.63/0.83 (step @p99 :rule instantiate :premises (@p98) :args (@t95)) % 0.63/0.83 (step @p100 :rule cnf_or_pos :args (@t123)) % 0.63/0.83 (step @p101 :rule reordering :premises (@p100) :args ((or @t107 @t122 (not @t123)))) % 0.63/0.83 (step @p102 :rule chain_m_resolution :premises (@p101 @p88 @p99) :args (@t122 @t116 (@list @t97 @t123))) % 0.63/0.83 (step @p103 :rule cnf_or_pos :args (@t126)) % 0.63/0.83 (step @p104 :rule reordering :premises (@p103) :args ((or @t121 @t91 @t125 (not @t126)))) % 0.63/0.83 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p60 @p95) :args (@t125 @t120 (@list @t121 @t91 @t126))) % 0.63/0.83 (step @p106 :rule instantiate :premises (@p51) :args ((@list @t98 @t88 @t99))) % 0.63/0.83 (step @p107 :rule instantiate :premises (@p51) :args ((@list @t98 @t86 @t88))) % 0.63/0.83 (step @p108 :rule aci_norm :args ((= (or @t64 @t10) (or @t64 @t9 @t8)))) % 0.63/0.83 (step @p109 :rule bool-impl-elim :args (@t11 @t10)) % 0.63/0.83 (step @p110 :rule trans :premises (@p109 @p108)) % 0.63/0.83 (step @p111 :rule cong :premises (@p110) :args (@t12)) % 0.63/0.83 (step @p112 :rule eq_resolve :premises (@p5 @p111)) % 0.63/0.83 (step @p113 :rule instantiate :premises (@p112) :args ((@list @t86 @t88 @t86))) % 0.63/0.83 (step @p114 :rule instantiate :premises (@p2) :args ((@list @t86))) % 0.63/0.83 (step @p115 :rule cnf_or_pos :args (@t130)) % 0.63/0.83 (step @p116 :rule reordering :premises (@p115) :args ((or @t127 @t91 @t129 (not @t130)))) % 0.63/0.83 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p60 @p113) :args (@t129 @t120 (@list @t127 @t91 @t130))) % 0.63/0.83 (step @p118 :rule cnf_or_neg :args (@t110 2)) % 0.63/0.83 (step @p119 :rule chain_m_resolution :premises (@p118 @p81) :args ((not @t106) @t111 @t112)) % 0.63/0.83 (step @p120 :rule instantiate :premises (@p51) :args ((@list @t87 @t86 @t88))) % 0.63/0.83 (step @p121 :rule instantiate :premises (@p17) :args (@t89)) % 0.63/0.83 (step @p122 :rule cnf_or_pos :args (@t132)) % 0.63/0.83 (step @p123 :rule reordering :premises (@p122) :args ((or @t105 @t131 @t128 (not @t132)))) % 0.63/0.83 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p117 @p120) :args (@t105 @t120 (@list @t131 @t128 @t132))) % 0.63/0.83 (step @p125 :rule bool-double-not-elim :args (@t102)) % 0.63/0.83 (step @p126 :rule bool-double-not-elim :args (@t104)) % 0.63/0.83 (step @p127 :rule refl :args (@t106)) % 0.63/0.83 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125) :args ((or @t106 (not @t105) (not @t103)))) % 0.63/0.83 (step @p129 :rule cnf_and_neg :args (@t106)) % 0.63/0.83 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.63/0.83 (step @p131 :rule reordering :premises (@p130) :args ((or @t104 @t102 @t106))) % 0.63/0.83 (step @p132 :rule chain_m_resolution :premises (@p131 @p124 @p119) :args (@t102 (@list true true) (@list @t104 @t106))) % 0.63/0.83 (step @p133 :rule cnf_or_pos :args (@t134)) % 0.63/0.83 (step @p134 :rule reordering :premises (@p133) :args ((or @t103 @t128 @t133 (not @t134)))) % 0.63/0.83 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p117 @p107) :args (@t133 (@list false true false) (@list @t102 @t128 @t134))) % 0.63/0.83 (step @p136 :rule instantiate :premises (@p98) :args ((@list @t87 @t98))) % 0.63/0.83 (step @p137 :rule bool-double-not-elim :args (@t108)) % 0.63/0.83 (step @p138 :rule nary_cong :premises (@p83 @p137) :args ((or @t110 (not @t109)))) % 0.63/0.83 (step @p139 :rule cnf_or_neg :args (@t110 0)) % 0.63/0.83 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.63/0.83 (step @p141 :rule reordering :premises (@p140) :args ((or @t108 @t110))) % 0.63/0.83 (step @p142 :rule chain_m_resolution :premises (@p141 @p81) :args (@t108 @t111 @t112)) % 0.63/0.83 (step @p143 :rule cnf_or_pos :args (@t137)) % 0.63/0.83 (step @p144 :rule reordering :premises (@p143) :args ((or @t109 @t136 (not @t137)))) % 0.63/0.83 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p136) :args (@t136 @t116 (@list @t108 @t137))) % 0.63/0.83 (step @p146 :rule cnf_or_pos :args (@t140)) % 0.63/0.83 (step @p147 :rule reordering :premises (@p146) :args ((or @t135 @t138 @t139 (not @t140)))) % 0.63/0.83 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p135 @p106) :args (@t138 (@list true false false) (@list @t135 @t133 @t140))) % 0.63/0.83 (step @p149 :rule cnf_or_neg :args (@t110 4)) % 0.63/0.83 (step @p150 :rule chain_m_resolution :premises (@p149 @p81) :args ((not @t100) @t111 @t112)) % 0.63/0.83 (step @p151 :rule cnf_or_neg :args (@t110 3)) % 0.63/0.83 (step @p152 :rule chain_m_resolution :premises (@p151 @p81) :args ((not @t101) @t111 @t112)) % 0.63/0.83 (step @p153 :rule cnf_or_pos :args (@t142)) % 0.63/0.83 (step @p154 :rule reordering :premises (@p153) :args ((or @t107 @t101 @t100 @t141 @t124 @t117 @t143))) % 0.63/0.83 (step @p155 :rule chain_m_resolution :premises (@p154 @p88 @p152 @p150 @p148 @p105 @p94) :args (@t143 (@list false true true false true true) (@list @t97 @t101 @t100 @t138 @t124 @t117))) % 0.63/0.83 (assume-push @p162 @t144) % 0.63/0.83 (step @p157 :rule instantiate :premises (@p46) :args ((@list @t85 @t84 @t88 @t99))) % 0.63/0.83 (step-pop @p163 :rule scope :premises (@p157)) % 0.63/0.83 (step @p158 :rule process_scope :premises (@p163) :args (@t142)) % 0.63/0.83 (step @p160 :rule implies_elim :premises (@p158)) % 0.63/0.83 (step @p161 false :rule chain_m_resolution :premises (@p160 @p155 @p46) :args (false @t94 (@list @t142 @t144))) % 0.63/0.83 ) % 0.63/0.83 % SZS output end Proof % 0.63/0.83 % cvc5 exiting %------------------------------------------------------------------------------