%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO187+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 : n022.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 08:16:37 AM UTC 2026 % Result : Theorem 0.46s 0.70s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO187+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:39:23 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.70 % SZS status Theorem % 0.46/0.70 % SZS output start Proof % 0.46/0.70 ( % 0.46/0.70 (declare-sort $$unsorted 0) % 0.46/0.70 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.70 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.70 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.70 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.70 (declare-const tptp.line (-> $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.point (-> $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.70 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.70 (define @t1 () (@var "X" $$unsorted)) % 0.46/0.70 (define @t2 () (@list @t1)) % 0.46/0.70 (define @t3 () (@var "Z" $$unsorted)) % 0.46/0.70 (define @t4 () (@var "Y" $$unsorted)) % 0.46/0.70 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.46/0.70 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.46/0.70 (define @t7 () (@list @t1 @t4 @t3)) % 0.46/0.70 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.46/0.70 (define @t9 () (tptp.distinct_lines @t1 @t3)) % 0.46/0.70 (define @t10 () (or @t9 @t8)) % 0.46/0.70 (define @t11 () (tptp.distinct_lines @t1 @t4)) % 0.46/0.70 (define @t12 () (forall @t7 (=> @t11 @t10))) % 0.46/0.70 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.46/0.70 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.46/0.70 (define @t15 () (tptp.convergent_lines @t1 @t4)) % 0.46/0.70 (define @t16 () (tptp.line_connecting @t1 @t4)) % 0.46/0.70 (define @t17 () (not (tptp.apart_point_and_line @t1 @t16))) % 0.46/0.70 (define @t18 () (@list @t1 @t4)) % 0.46/0.70 (define @t19 () (forall @t18 (=> @t6 @t17))) % 0.46/0.70 (define @t20 () (not (tptp.apart_point_and_line @t4 @t16))) % 0.46/0.70 (define @t21 () (forall @t18 (=> @t6 @t20))) % 0.46/0.70 (define @t22 () (tptp.intersection_point @t1 @t4)) % 0.46/0.70 (define @t23 () (@var "V" $$unsorted)) % 0.46/0.70 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.46/0.70 (define @t25 () (@var "U" $$unsorted)) % 0.46/0.70 (define @t26 () (tptp.apart_point_and_line @t4 @t25)) % 0.46/0.70 (define @t27 () (tptp.apart_point_and_line @t1 @t23)) % 0.46/0.70 (define @t28 () (tptp.apart_point_and_line @t1 @t25)) % 0.46/0.70 (define @t29 () (or @t28 @t27 @t26 @t24)) % 0.46/0.70 (define @t30 () (tptp.distinct_lines @t25 @t23)) % 0.46/0.70 (define @t31 () (and @t6 @t30)) % 0.46/0.70 (define @t32 () (@list @t1 @t4 @t25 @t23)) % 0.46/0.70 (define @t33 () (forall @t32 (=> @t31 @t29))) % 0.46/0.70 (define @t34 () (tptp.apart_point_and_line @t1 @t4)) % 0.46/0.70 (define @t35 () (tptp.apart_point_and_line @t1 @t3)) % 0.46/0.70 (define @t36 () (or @t8 @t35)) % 0.46/0.70 (define @t37 () (forall @t7 (=> @t34 @t36))) % 0.46/0.70 (define @t38 () (forall @t18 (=> @t11 @t15))) % 0.46/0.70 (define @t39 () (tptp.parallel_through_point @t4 @t1)) % 0.46/0.70 (define @t40 () (@var "M" $$unsorted)) % 0.46/0.70 (define @t41 () (@var "L" $$unsorted)) % 0.46/0.70 (define @t42 () (tptp.unorthogonal_lines @t41 @t40)) % 0.46/0.70 (define @t43 () (tptp.convergent_lines @t41 @t40)) % 0.46/0.70 (define @t44 () (@list @t41 @t40)) % 0.46/0.70 (define @t45 () (@var "N" $$unsorted)) % 0.46/0.70 (define @t46 () (tptp.unorthogonal_lines @t40 @t45)) % 0.46/0.70 (define @t47 () (tptp.convergent_lines @t40 @t45)) % 0.46/0.70 (define @t48 () (tptp.unorthogonal_lines @t41 @t45)) % 0.46/0.70 (define @t49 () (tptp.convergent_lines @t41 @t45)) % 0.46/0.70 (define @t50 () (@list @t41 @t40 @t45)) % 0.46/0.70 (define @t51 () (@var "A" $$unsorted)) % 0.46/0.70 (define @t52 () (tptp.orthogonal_through_point @t41 @t51)) % 0.46/0.70 (define @t53 () (@list @t51 @t41)) % 0.46/0.70 (define @t54 () (not @t42)) % 0.46/0.70 (define @t55 () (not @t43)) % 0.46/0.70 (define @t56 () (not @t47)) % 0.46/0.70 (define @t57 () (not @t48)) % 0.46/0.70 (define @t58 () (@var "B" $$unsorted)) % 0.46/0.70 (define @t59 () (tptp.point @t51)) % 0.46/0.70 (define @t60 () (tptp.line @t41)) % 0.46/0.70 (define @t61 () (and @t60 @t59)) % 0.46/0.70 (define @t62 () (@list @t41 @t51)) % 0.46/0.70 (define @t63 () (not @t6)) % 0.46/0.70 (define @t64 () (not @t11)) % 0.46/0.70 (define @t65 () (not @t34)) % 0.46/0.70 (define @t66 () (and (tptp.incident_point_and_line @t25 @t16) (tptp.incident_point_and_line @t23 @t16))) % 0.46/0.70 (define @t67 () (tptp.line_connecting @t25 @t23)) % 0.46/0.70 (define @t68 () (tptp.incident_point_and_line @t4 @t67)) % 0.46/0.70 (define @t69 () (tptp.incident_point_and_line @t1 @t67)) % 0.46/0.70 (define @t70 () (tptp.distinct_points @t25 @t23)) % 0.46/0.70 (define @t71 () (and @t6 @t70 @t69 @t68)) % 0.46/0.70 (define @t72 () (forall @t32 (=> @t71 @t66))) % 0.46/0.70 (define @t73 () (not @t72)) % 0.46/0.70 (define @t74 () (or @t65 @t8 @t35)) % 0.46/0.70 (define @t75 () (not @t68)) % 0.46/0.70 (define @t76 () (not @t69)) % 0.46/0.70 (define @t77 () (not @t70)) % 0.46/0.70 (define @t78 () (or @t63 @t77 @t76 @t75 @t66)) % 0.46/0.70 (define @t79 () (forall @t32 @t78)) % 0.46/0.70 (define @t80 () (@quantifiers_skolemize @t79 1)) % 0.46/0.70 (define @t81 () (@quantifiers_skolemize @t79 0)) % 0.46/0.70 (define @t82 () (tptp.line_connecting @t81 @t80)) % 0.46/0.70 (define @t83 () (@quantifiers_skolemize @t79 3)) % 0.46/0.70 (define @t84 () (@quantifiers_skolemize @t79 2)) % 0.46/0.70 (define @t85 () (tptp.line_connecting @t84 @t83)) % 0.46/0.70 (define @t86 () (tptp.parallel_through_point @t85 @t81)) % 0.46/0.70 (define @t87 () (not @t30)) % 0.46/0.70 (define @t88 () (@list @t81 @t85)) % 0.46/0.70 (define @t89 () (tptp.convergent_lines @t86 @t85)) % 0.46/0.70 (define @t90 () (tptp.distinct_lines @t86 @t85)) % 0.46/0.70 (define @t91 () (not @t90)) % 0.46/0.70 (define @t92 () (or @t91 @t89)) % 0.46/0.70 (define @t93 () (@list true false)) % 0.46/0.70 (define @t94 () (or @t63 @t77 @t76 @t75)) % 0.46/0.70 (define @t95 () (tptp.incident_point_and_line @t80 @t85)) % 0.46/0.70 (define @t96 () (tptp.incident_point_and_line @t83 @t82)) % 0.46/0.70 (define @t97 () (tptp.incident_point_and_line @t84 @t82)) % 0.46/0.70 (define @t98 () (and @t97 @t96)) % 0.46/0.70 (define @t99 () (not @t95)) % 0.46/0.70 (define @t100 () (tptp.distinct_points @t84 @t83)) % 0.46/0.70 (define @t101 () (not @t100)) % 0.46/0.70 (define @t102 () (tptp.distinct_points @t81 @t80)) % 0.46/0.70 (define @t103 () (not @t102)) % 0.46/0.70 (define @t104 () (or @t103 @t101 (not (tptp.incident_point_and_line @t81 @t85)) @t99 @t98)) % 0.46/0.70 (define @t105 () (@list true)) % 0.46/0.70 (define @t106 () (@list @t104)) % 0.46/0.70 (define @t107 () (tptp.apart_point_and_line @t80 @t85)) % 0.46/0.70 (define @t108 () (not @t107)) % 0.46/0.70 (define @t109 () (= @t95 @t108)) % 0.46/0.70 (define @t110 () (@list false false)) % 0.46/0.70 (define @t111 () (tptp.apart_point_and_line @t80 @t86)) % 0.46/0.70 (define @t112 () (not @t111)) % 0.35/0.70 (define @t113 () (or @t112 @t90 @t107)) % 0.35/0.70 (define @t114 () (@list true true false)) % 0.35/0.70 (define @t115 () (@list @t81 @t80)) % 0.35/0.70 (define @t116 () (tptp.apart_point_and_line @t80 @t82)) % 0.35/0.70 (define @t117 () (not @t116)) % 0.35/0.70 (define @t118 () (or @t103 @t117)) % 0.35/0.70 (define @t119 () (tptp.apart_point_and_line @t81 @t82)) % 0.35/0.70 (define @t120 () (not @t119)) % 0.35/0.70 (define @t121 () (or @t103 @t120)) % 0.35/0.70 (define @t122 () (tptp.apart_point_and_line @t81 @t86)) % 0.35/0.70 (define @t123 () (tptp.distinct_lines @t86 @t82)) % 0.35/0.70 (define @t124 () (not @t123)) % 0.35/0.70 (define @t125 () (or @t103 @t124 @t122 @t119 @t111 @t116)) % 0.35/0.70 (define @t126 () (tptp.distinct_lines @t82 @t82)) % 0.35/0.70 (define @t127 () (tptp.distinct_lines @t82 @t86)) % 0.35/0.70 (define @t128 () (not @t127)) % 0.35/0.70 (define @t129 () (or @t128 @t126 @t123)) % 0.35/0.70 (define @t130 () (@list @t84 @t83)) % 0.35/0.70 (define @t131 () (tptp.apart_point_and_line @t83 @t85)) % 0.35/0.70 (define @t132 () (not @t131)) % 0.35/0.70 (define @t133 () (or @t101 @t132)) % 0.35/0.70 (define @t134 () (tptp.apart_point_and_line @t83 @t86)) % 0.35/0.70 (define @t135 () (not @t134)) % 0.35/0.70 (define @t136 () (or @t135 @t90 @t131)) % 0.35/0.70 (define @t137 () (tptp.apart_point_and_line @t84 @t85)) % 0.35/0.70 (define @t138 () (not @t137)) % 0.35/0.70 (define @t139 () (or @t101 @t138)) % 0.35/0.70 (define @t140 () (tptp.apart_point_and_line @t84 @t86)) % 0.35/0.70 (define @t141 () (not @t140)) % 0.35/0.70 (define @t142 () (or @t141 @t90 @t137)) % 0.35/0.70 (define @t143 () (tptp.apart_point_and_line @t84 @t82)) % 0.35/0.70 (define @t144 () (not @t143)) % 0.35/0.70 (define @t145 () (or @t144 @t127 @t140)) % 0.35/0.70 (define @t146 () (= @t97 @t144)) % 0.35/0.70 (define @t147 () (not @t146)) % 0.35/0.70 (define @t148 () (tptp.apart_point_and_line @t83 @t82)) % 0.35/0.70 (define @t149 () (not @t148)) % 0.35/0.70 (define @t150 () (= @t96 @t149)) % 0.35/0.70 (define @t151 () (not @t150)) % 0.35/0.70 (define @t152 () (or @t149 @t127 @t134)) % 0.35/0.70 (define @t153 () (not @t152)) % 0.35/0.70 (define @t154 () (forall @t7 @t74)) % 0.35/0.70 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.35/0.70 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.35/0.70 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.35/0.70 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.35/0.70 (assume @p5 @t12) % 0.35/0.70 (assume @p6 (forall @t7 (=> @t15 (or @t14 @t13)))) % 0.35/0.70 (assume @p7 @t19) % 0.35/0.70 (assume @p8 @t21) % 0.35/0.70 (assume @p9 (forall @t18 (=> @t15 (not (tptp.apart_point_and_line @t22 @t1))))) % 0.35/0.70 (assume @p10 (forall @t18 (=> @t15 (not (tptp.apart_point_and_line @t22 @t4))))) % 0.35/0.70 (assume @p11 @t33) % 0.35/0.70 (assume @p12 (forall @t7 (=> @t34 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.35/0.70 (assume @p13 @t37) % 0.35/0.70 (assume @p14 (forall @t7 (=> @t15 (or @t8 @t14)))) % 0.35/0.70 (assume @p15 @t38) % 0.35/0.70 (assume @p16 (forall @t18 (not (tptp.convergent_lines @t39 @t4)))) % 0.35/0.70 (assume @p17 (forall @t18 (not (tptp.apart_point_and_line @t1 @t39)))) % 0.35/0.70 (assume @p18 (forall @t7 (=> @t8 (or @t34 @t35 @t13)))) % 0.35/0.70 (assume @p19 (forall @t44 (or @t43 @t42))) % 0.35/0.70 (assume @p20 (forall @t50 (=> (and @t43 @t42) (or (and @t49 @t48) (and @t47 @t46))))) % 0.35/0.70 (assume @p21 (forall @t53 (not (tptp.unorthogonal_lines @t52 @t41)))) % 0.35/0.70 (assume @p22 (forall @t53 (not (tptp.apart_point_and_line @t51 @t52)))) % 0.35/0.70 (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)))) % 0.35/0.70 (assume @p24 (forall @t44 (not (and @t55 @t54)))) % 0.35/0.70 (assume @p25 (forall @t50 (=> (and (or @t55 @t54) (or (not @t49) @t57)) (or @t56 (not @t46))))) % 0.35/0.70 (assume @p26 (forall @t50 (=> (and @t54 @t57) @t56))) % 0.35/0.70 (assume @p27 (forall (@list @t51 @t58) (=> (and @t59 (tptp.point @t58) (tptp.distinct_points @t51 @t58)) (tptp.line (tptp.line_connecting @t51 @t58))))) % 0.35/0.70 (assume @p28 (forall @t44 (=> (and @t60 (tptp.line @t40) @t43) (tptp.point (tptp.intersection_point @t41 @t40))))) % 0.35/0.70 (assume @p29 (forall @t62 (=> @t61 (tptp.line (tptp.parallel_through_point @t41 @t51))))) % 0.35/0.70 (assume @p30 (forall @t62 (=> @t61 (tptp.line @t52)))) % 0.35/0.70 (assume @p31 (forall @t18 (= (tptp.equal_points @t1 @t4) @t63))) % 0.35/0.70 (assume @p32 (forall @t18 (= (tptp.equal_lines @t1 @t4) @t64))) % 0.35/0.70 (assume @p33 (forall @t18 (= (tptp.parallel_lines @t1 @t4) (not @t15)))) % 0.35/0.70 (assume @p34 (forall @t18 (= (tptp.incident_point_and_line @t1 @t4) @t65))) % 0.35/0.70 (assume @p35 (forall @t18 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.35/0.70 (assume @p36 @t73) % 0.35/0.70 (assume @p37 true) % 0.35/0.70 (step @p38 :rule aci_norm :args ((= (or @t65 @t36) @t74))) % 0.35/0.70 (step @p39 :rule bool-impl-elim :args (@t34 @t36)) % 0.35/0.70 (step @p40 :rule trans :premises (@p39 @p38)) % 0.35/0.70 (step @p41 :rule cong :premises (@p40) :args (@t37)) % 0.35/0.70 (step @p42 :rule eq_resolve :premises (@p13 @p41)) % 0.35/0.70 (step @p43 :rule aci_norm :args ((= (or @t64 @t10) (or @t64 @t9 @t8)))) % 0.35/0.70 (step @p44 :rule bool-impl-elim :args (@t11 @t10)) % 0.35/0.70 (step @p45 :rule trans :premises (@p44 @p43)) % 0.35/0.70 (step @p46 :rule cong :premises (@p45) :args (@t12)) % 0.35/0.70 (step @p47 :rule eq_resolve :premises (@p5 @p46)) % 0.35/0.70 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t82 @t86 @t82))) % 0.35/0.70 (step @p49 :rule aci_norm :args ((= (or (or @t63 @t87) @t29) (or @t63 @t87 @t28 @t27 @t26 @t24)))) % 0.35/0.70 (step @p50 :rule refl :args (@t29)) % 0.35/0.70 (step @p51 :rule bool-and-de-morgan :args (@t6 @t30 true)) % 0.35/0.70 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t31) @t29))) % 0.35/0.70 (step @p53 :rule trans :premises (@p52 @p49)) % 0.35/0.70 (step @p54 :rule bool-impl-elim :args (@t31 @t29)) % 0.35/0.70 (step @p55 :rule trans :premises (@p54 @p53)) % 0.35/0.70 (step @p56 :rule cong :premises (@p55) :args (@t33)) % 0.35/0.70 (step @p57 :rule eq_resolve :premises (@p11 @p56)) % 0.35/0.70 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t81 @t80 @t86 @t82))) % 0.35/0.70 (step @p59 :rule instantiate :premises (@p42) :args ((@list @t80 @t86 @t85))) % 0.35/0.70 (step @p60 :rule bool-impl-elim :args (@t11 @t15)) % 0.35/0.70 (step @p61 :rule cong :premises (@p60) :args (@t38)) % 0.35/0.70 (step @p62 :rule eq_resolve :premises (@p15 @p61)) % 0.35/0.70 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t86 @t85))) % 0.35/0.70 (step @p64 :rule instantiate :premises (@p16) :args (@t88)) % 0.35/0.70 (step @p65 :rule cnf_or_pos :args (@t92)) % 0.35/0.70 (step @p66 :rule reordering :premises (@p65) :args ((or @t89 @t91 (not @t92)))) % 0.35/0.70 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p63) :args (@t91 @t93 (@list @t89 @t92))) % 0.35/0.70 (step @p68 :rule instantiate :premises (@p34) :args ((@list @t80 @t85))) % 0.35/0.70 (step @p69 :rule aci_norm :args ((= (or @t94 @t66) @t78))) % 0.35/0.70 (step @p70 :rule refl :args (@t66)) % 0.35/0.70 (step @p71 :rule aci_norm :args ((= (or @t63 (or @t77 (or @t76 @t75))) @t94))) % 0.35/0.70 (step @p72 :rule bool-and-de-morgan :args (@t69 @t68 true)) % 0.35/0.70 (step @p73 :rule refl :args (@t77)) % 0.35/0.70 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t77 (not (and @t69 @t68))))) % 0.35/0.70 (step @p75 :rule bool-and-de-morgan :args (@t70 @t69 (and @t68))) % 0.35/0.70 (step @p76 :rule trans :premises (@p75 @p74)) % 0.35/0.70 (step @p77 :rule refl :args (@t63)) % 0.35/0.70 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t63 (not (and @t70 @t69 @t68))))) % 0.35/0.70 (step @p79 :rule bool-and-de-morgan :args (@t6 @t70 (and @t69 @t68))) % 0.35/0.70 (step @p80 :rule trans :premises (@p79 @p78)) % 0.35/0.70 (step @p81 :rule trans :premises (@p80 @p71)) % 0.35/0.70 (step @p82 :rule nary_cong :premises (@p81 @p70) :args ((or (not @t71) @t66))) % 0.35/0.70 (step @p83 :rule trans :premises (@p82 @p69)) % 0.35/0.70 (step @p84 :rule bool-impl-elim :args (@t71 @t66)) % 0.35/0.70 (step @p85 :rule trans :premises (@p84 @p83)) % 0.35/0.70 (step @p86 :rule cong :premises (@p85) :args (@t72)) % 0.35/0.70 (step @p87 :rule cong :premises (@p86) :args (@t73)) % 0.35/0.70 (step @p88 :rule eq_resolve :premises (@p36 @p87)) % 0.35/0.70 (step @p89 :rule skolemize :premises (@p88)) % 0.35/0.70 (step @p90 :rule bool-double-not-elim :args (@t95)) % 0.35/0.70 (step @p91 :rule refl :args (@t104)) % 0.35/0.70 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t104 (not @t99)))) % 0.35/0.70 (step @p93 :rule cnf_or_neg :args (@t104 3)) % 0.35/0.70 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.35/0.70 (step @p95 :rule reordering :premises (@p94) :args ((or @t95 @t104))) % 0.35/0.70 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t95 @t105 @t106)) % 0.35/0.70 (step @p97 :rule cnf_equiv_pos1 :args (@t109)) % 0.35/0.70 (step @p98 :rule reordering :premises (@p97) :args ((or @t99 @t108 (not @t109)))) % 0.35/0.70 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p68) :args (@t108 @t110 (@list @t95 @t109))) % 0.35/0.70 (step @p100 :rule cnf_or_pos :args (@t113)) % 0.35/0.70 (step @p101 :rule reordering :premises (@p100) :args ((or @t107 @t90 @t112 (not @t113)))) % 0.35/0.70 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p67 @p59) :args (@t112 @t114 (@list @t107 @t90 @t113))) % 0.35/0.70 (step @p103 :rule instantiate :premises (@p17) :args (@t88)) % 0.35/0.70 (step @p104 :rule bool-impl-elim :args (@t6 @t20)) % 0.35/0.70 (step @p105 :rule cong :premises (@p104) :args (@t21)) % 0.35/0.70 (step @p106 :rule eq_resolve :premises (@p8 @p105)) % 0.35/0.70 (step @p107 :rule instantiate :premises (@p106) :args (@t115)) % 0.35/0.70 (step @p108 :rule bool-double-not-elim :args (@t102)) % 0.35/0.70 (step @p109 :rule nary_cong :premises (@p91 @p108) :args ((or @t104 (not @t103)))) % 0.35/0.70 (step @p110 :rule cnf_or_neg :args (@t104 0)) % 0.35/0.70 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.35/0.70 (step @p112 :rule reordering :premises (@p111) :args ((or @t102 @t104))) % 0.35/0.70 (step @p113 :rule chain_m_resolution :premises (@p112 @p89) :args (@t102 @t105 @t106)) % 0.35/0.70 (step @p114 :rule cnf_or_pos :args (@t118)) % 0.35/0.70 (step @p115 :rule reordering :premises (@p114) :args ((or @t103 @t117 (not @t118)))) % 0.35/0.70 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p107) :args (@t117 @t110 (@list @t102 @t118))) % 0.35/0.70 (step @p117 :rule bool-impl-elim :args (@t6 @t17)) % 0.35/0.70 (step @p118 :rule cong :premises (@p117) :args (@t19)) % 0.35/0.70 (step @p119 :rule eq_resolve :premises (@p7 @p118)) % 0.35/0.70 (step @p120 :rule instantiate :premises (@p119) :args (@t115)) % 0.35/0.70 (step @p121 :rule cnf_or_pos :args (@t121)) % 0.35/0.70 (step @p122 :rule reordering :premises (@p121) :args ((or @t103 @t120 (not @t121)))) % 0.35/0.70 (step @p123 :rule chain_m_resolution :premises (@p122 @p113 @p120) :args (@t120 @t110 (@list @t102 @t121))) % 0.35/0.70 (step @p124 :rule cnf_or_pos :args (@t125)) % 0.35/0.70 (step @p125 :rule reordering :premises (@p124) :args ((or @t103 @t119 @t116 @t122 @t124 @t111 (not @t125)))) % 0.35/0.70 (step @p126 :rule chain_m_resolution :premises (@p125 @p113 @p123 @p116 @p103 @p102 @p58) :args (@t124 (@list false true true true true false) (@list @t102 @t119 @t116 @t122 @t111 @t125))) % 0.35/0.70 (step @p127 :rule instantiate :premises (@p2) :args ((@list @t82))) % 0.35/0.70 (step @p128 :rule cnf_or_pos :args (@t129)) % 0.35/0.70 (step @p129 :rule reordering :premises (@p128) :args ((or @t126 @t123 @t128 (not @t129)))) % 0.35/0.70 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p126 @p48) :args (@t128 @t114 (@list @t126 @t123 @t129))) % 0.35/0.70 (step @p131 :rule instantiate :premises (@p42) :args ((@list @t83 @t86 @t85))) % 0.35/0.70 (step @p132 :rule instantiate :premises (@p106) :args (@t130)) % 0.35/0.70 (step @p133 :rule bool-double-not-elim :args (@t100)) % 0.35/0.70 (step @p134 :rule nary_cong :premises (@p91 @p133) :args ((or @t104 (not @t101)))) % 0.35/0.70 (step @p135 :rule cnf_or_neg :args (@t104 1)) % 0.35/0.70 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.35/0.70 (step @p137 :rule reordering :premises (@p136) :args ((or @t100 @t104))) % 0.35/0.70 (step @p138 :rule chain_m_resolution :premises (@p137 @p89) :args (@t100 @t105 @t106)) % 0.35/0.70 (step @p139 :rule cnf_or_pos :args (@t133)) % 0.35/0.70 (step @p140 :rule reordering :premises (@p139) :args ((or @t101 @t132 (not @t133)))) % 0.35/0.70 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p132) :args (@t132 @t110 (@list @t100 @t133))) % 0.35/0.70 (step @p142 :rule cnf_or_pos :args (@t136)) % 0.35/0.70 (step @p143 :rule reordering :premises (@p142) :args ((or @t131 @t90 @t135 (not @t136)))) % 0.35/0.70 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p67 @p131) :args (@t135 @t114 (@list @t131 @t90 @t136))) % 0.35/0.70 (step @p145 :rule instantiate :premises (@p34) :args ((@list @t83 @t82))) % 0.35/0.70 (step @p146 :rule instantiate :premises (@p34) :args ((@list @t84 @t82))) % 0.35/0.70 (step @p147 :rule instantiate :premises (@p42) :args ((@list @t84 @t82 @t86))) % 0.35/0.70 (step @p148 :rule instantiate :premises (@p42) :args ((@list @t84 @t86 @t85))) % 0.35/0.70 (step @p149 :rule instantiate :premises (@p119) :args (@t130)) % 0.35/0.70 (step @p150 :rule cnf_or_pos :args (@t139)) % 0.35/0.70 (step @p151 :rule reordering :premises (@p150) :args ((or @t101 @t138 (not @t139)))) % 0.35/0.70 (step @p152 :rule chain_m_resolution :premises (@p151 @p138 @p149) :args (@t138 @t110 (@list @t100 @t139))) % 0.35/0.70 (step @p153 :rule cnf_or_pos :args (@t142)) % 0.35/0.70 (step @p154 :rule reordering :premises (@p153) :args ((or @t137 @t90 @t141 (not @t142)))) % 0.35/0.70 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p67 @p148) :args (@t141 @t114 (@list @t137 @t90 @t142))) % 0.35/0.70 (step @p156 :rule cnf_or_pos :args (@t145)) % 0.35/0.70 (step @p157 :rule reordering :premises (@p156) :args ((or @t144 @t127 @t140 (not @t145)))) % 0.35/0.70 (step @p158 :rule chain_m_resolution :premises (@p157 @p130 @p155 @p147) :args (@t144 @t114 (@list @t127 @t140 @t145))) % 0.35/0.70 (step @p159 :rule bool-double-not-elim :args (@t143)) % 0.35/0.70 (step @p160 :rule refl :args (@t97)) % 0.35/0.70 (step @p161 :rule refl :args (@t147)) % 0.35/0.70 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159) :args ((or @t147 @t97 (not @t144)))) % 0.35/0.70 (step @p163 :rule cnf_equiv_pos2 :args (@t146)) % 0.35/0.70 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.35/0.70 (step @p165 :rule reordering :premises (@p164) :args ((or @t97 @t143 @t147))) % 0.35/0.70 (step @p166 :rule chain_m_resolution :premises (@p165 @p158 @p146) :args (@t97 @t93 (@list @t143 @t146))) % 0.35/0.70 (step @p167 :rule cnf_or_neg :args (@t104 4)) % 0.35/0.70 (step @p168 :rule chain_m_resolution :premises (@p167 @p89) :args ((not @t98) @t105 @t106)) % 0.35/0.70 (step @p169 :rule cnf_and_neg :args (@t98)) % 0.35/0.70 (step @p170 :rule chain_m_resolution :premises (@p169 @p168 @p166) :args ((not @t96) @t93 (@list @t98 @t97))) % 0.35/0.70 (step @p171 :rule bool-double-not-elim :args (@t148)) % 0.35/0.70 (step @p172 :rule refl :args (@t96)) % 0.35/0.70 (step @p173 :rule refl :args (@t151)) % 0.35/0.70 (step @p174 :rule nary_cong :premises (@p173 @p172 @p171) :args ((or @t151 @t96 (not @t149)))) % 0.35/0.70 (step @p175 :rule cnf_equiv_pos2 :args (@t150)) % 0.35/0.70 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.35/0.70 (step @p177 :rule reordering :premises (@p176) :args ((or @t96 @t148 @t151))) % 0.35/0.70 (step @p178 :rule chain_m_resolution :premises (@p177 @p170 @p145) :args (@t148 @t93 (@list @t96 @t150))) % 0.35/0.70 (step @p179 :rule cnf_or_pos :args (@t152)) % 0.35/0.70 (step @p180 :rule reordering :premises (@p179) :args ((or @t149 @t134 @t127 @t153))) % 0.35/0.70 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p144 @p130) :args (@t153 (@list false true true) (@list @t148 @t134 @t127))) % 0.35/0.70 (assume-push @p188 @t154) % 0.35/0.70 (step @p183 :rule instantiate :premises (@p42) :args ((@list @t83 @t82 @t86))) % 0.35/0.70 (step-pop @p189 :rule scope :premises (@p183)) % 0.35/0.70 (step @p184 :rule process_scope :premises (@p189) :args (@t152)) % 0.35/0.70 (step @p186 :rule implies_elim :premises (@p184)) % 0.35/0.70 (step @p187 false :rule chain_m_resolution :premises (@p186 @p181 @p42) :args (false @t93 (@list @t152 @t154))) % 0.35/0.70 ) % 0.35/0.70 % SZS output end Proof % 0.35/0.70 % cvc5 exiting %------------------------------------------------------------------------------