%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO199+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:16:41 AM UTC 2026 % Result : Theorem 0.23s 0.44s % Output : Proof 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO199+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 23:39:49 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.23/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.23/0.44 % SZS status Theorem % 0.23/0.44 % SZS output start Proof % 0.23/0.44 ( % 0.23/0.44 (declare-sort $$unsorted 0) % 0.23/0.44 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.44 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.44 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.44 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.44 (declare-const tptp.line (-> $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.point (-> $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.23/0.44 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.23/0.44 (define @t1 () (@var "X" $$unsorted)) % 0.23/0.44 (define @t2 () (@list @t1)) % 0.23/0.44 (define @t3 () (@var "Z" $$unsorted)) % 0.23/0.44 (define @t4 () (@var "Y" $$unsorted)) % 0.23/0.44 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.23/0.44 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.23/0.44 (define @t7 () (@list @t1 @t4 @t3)) % 0.23/0.44 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.23/0.44 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.23/0.44 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.23/0.44 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.23/0.44 (define @t12 () (or @t11 @t10)) % 0.23/0.44 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.23/0.44 (define @t14 () (forall @t7 (=> @t13 @t12))) % 0.23/0.44 (define @t15 () (tptp.line_connecting @t1 @t4)) % 0.23/0.44 (define @t16 () (@list @t1 @t4)) % 0.23/0.44 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.23/0.44 (define @t18 () (not (tptp.apart_point_and_line @t17 @t1))) % 0.23/0.44 (define @t19 () (forall @t16 (=> @t13 @t18))) % 0.23/0.44 (define @t20 () (not (tptp.apart_point_and_line @t17 @t4))) % 0.23/0.44 (define @t21 () (forall @t16 (=> @t13 @t20))) % 0.23/0.44 (define @t22 () (@var "V" $$unsorted)) % 0.23/0.44 (define @t23 () (tptp.apart_point_and_line @t4 @t22)) % 0.23/0.44 (define @t24 () (@var "U" $$unsorted)) % 0.23/0.44 (define @t25 () (tptp.apart_point_and_line @t4 @t24)) % 0.23/0.44 (define @t26 () (tptp.apart_point_and_line @t1 @t22)) % 0.23/0.44 (define @t27 () (tptp.apart_point_and_line @t1 @t24)) % 0.23/0.44 (define @t28 () (or @t27 @t26 @t25 @t23)) % 0.23/0.44 (define @t29 () (tptp.distinct_lines @t24 @t22)) % 0.23/0.44 (define @t30 () (and @t6 @t29)) % 0.23/0.44 (define @t31 () (@list @t1 @t4 @t24 @t22)) % 0.23/0.44 (define @t32 () (forall @t31 (=> @t30 @t28))) % 0.23/0.44 (define @t33 () (tptp.apart_point_and_line @t3 @t4)) % 0.23/0.44 (define @t34 () (or @t5 @t33)) % 0.23/0.44 (define @t35 () (tptp.apart_point_and_line @t1 @t4)) % 0.23/0.44 (define @t36 () (forall @t7 (=> @t35 @t34))) % 0.23/0.44 (define @t37 () (tptp.apart_point_and_line @t1 @t3)) % 0.23/0.44 (define @t38 () (or @t8 @t11)) % 0.23/0.44 (define @t39 () (forall @t7 (=> @t13 @t38))) % 0.23/0.44 (define @t40 () (tptp.parallel_through_point @t4 @t1)) % 0.23/0.44 (define @t41 () (@var "M" $$unsorted)) % 0.23/0.44 (define @t42 () (@var "L" $$unsorted)) % 0.23/0.44 (define @t43 () (tptp.unorthogonal_lines @t42 @t41)) % 0.23/0.44 (define @t44 () (tptp.convergent_lines @t42 @t41)) % 0.23/0.44 (define @t45 () (@list @t42 @t41)) % 0.23/0.44 (define @t46 () (@var "N" $$unsorted)) % 0.23/0.44 (define @t47 () (tptp.unorthogonal_lines @t41 @t46)) % 0.23/0.44 (define @t48 () (tptp.convergent_lines @t41 @t46)) % 0.23/0.44 (define @t49 () (tptp.unorthogonal_lines @t42 @t46)) % 0.23/0.44 (define @t50 () (tptp.convergent_lines @t42 @t46)) % 0.23/0.44 (define @t51 () (@list @t42 @t41 @t46)) % 0.23/0.44 (define @t52 () (@var "A" $$unsorted)) % 0.23/0.44 (define @t53 () (tptp.orthogonal_through_point @t42 @t52)) % 0.23/0.44 (define @t54 () (@list @t52 @t42)) % 0.23/0.44 (define @t55 () (not @t43)) % 0.23/0.44 (define @t56 () (not @t44)) % 0.23/0.44 (define @t57 () (not @t48)) % 0.23/0.44 (define @t58 () (not @t49)) % 0.23/0.44 (define @t59 () (@var "B" $$unsorted)) % 0.23/0.44 (define @t60 () (tptp.point @t52)) % 0.23/0.44 (define @t61 () (tptp.line @t42)) % 0.23/0.44 (define @t62 () (and @t61 @t60)) % 0.23/0.44 (define @t63 () (@list @t42 @t52)) % 0.23/0.44 (define @t64 () (not @t6)) % 0.23/0.44 (define @t65 () (not @t13)) % 0.23/0.44 (define @t66 () (not @t35)) % 0.23/0.44 (define @t67 () (tptp.incident_point_and_line (tptp.intersection_point @t4 @t1) @t3)) % 0.23/0.44 (define @t68 () (tptp.incident_point_and_line @t17 @t3)) % 0.23/0.44 (define @t69 () (tptp.convergent_lines @t3 @t4)) % 0.23/0.44 (define @t70 () (and @t13 @t69 @t11 @t68)) % 0.23/0.44 (define @t71 () (forall @t7 (=> @t70 @t67))) % 0.23/0.44 (define @t72 () (not @t71)) % 0.23/0.44 (define @t73 () (not @t29)) % 0.23/0.44 (define @t74 () (or @t64 @t73 @t27 @t26 @t25 @t23)) % 0.23/0.44 (define @t75 () (not @t68)) % 0.23/0.44 (define @t76 () (not @t11)) % 0.23/0.44 (define @t77 () (not @t69)) % 0.23/0.44 (define @t78 () (or @t65 @t77 @t76 @t75 @t67)) % 0.23/0.44 (define @t79 () (forall @t7 @t78)) % 0.23/0.44 (define @t80 () (@quantifiers_skolemize @t79 1)) % 0.23/0.44 (define @t81 () (@quantifiers_skolemize @t79 0)) % 0.23/0.44 (define @t82 () (tptp.intersection_point @t81 @t80)) % 0.23/0.44 (define @t83 () (@quantifiers_skolemize @t79 2)) % 0.23/0.44 (define @t84 () (tptp.intersection_point @t83 @t80)) % 0.23/0.44 (define @t85 () (tptp.intersection_point @t80 @t81)) % 0.23/0.44 (define @t86 () (or @t65 @t77 @t76 @t75)) % 0.23/0.44 (define @t87 () (tptp.incident_point_and_line @t85 @t83)) % 0.23/0.44 (define @t88 () (tptp.incident_point_and_line @t82 @t83)) % 0.23/0.44 (define @t89 () (not @t88)) % 0.23/0.44 (define @t90 () (tptp.convergent_lines @t83 @t80)) % 0.23/0.44 (define @t91 () (not @t90)) % 0.23/0.44 (define @t92 () (tptp.convergent_lines @t81 @t80)) % 0.23/0.44 (define @t93 () (not @t92)) % 0.23/0.44 (define @t94 () (or @t93 @t91 (not (tptp.convergent_lines @t81 @t83)) @t89 @t87)) % 0.23/0.44 (define @t95 () (@list true)) % 0.23/0.44 (define @t96 () (@list @t94)) % 0.23/0.44 (define @t97 () (tptp.apart_point_and_line @t85 @t83)) % 0.23/0.44 (define @t98 () (not @t97)) % 0.23/0.44 (define @t99 () (= @t87 @t98)) % 0.23/0.44 (define @t100 () (not @t99)) % 0.23/0.44 (define @t101 () (@list true false)) % 0.23/0.44 (define @t102 () (@list @t83 @t80)) % 0.23/0.44 (define @t103 () (tptp.apart_point_and_line @t84 @t83)) % 0.23/0.44 (define @t104 () (not @t103)) % 0.23/0.44 (define @t105 () (or @t91 @t104)) % 0.23/0.44 (define @t106 () (@list false false)) % 0.23/0.44 (define @t107 () (tptp.distinct_points @t85 @t84)) % 0.23/0.44 (define @t108 () (or @t98 @t107 @t103)) % 0.23/0.44 (define @t109 () (@list true false false)) % 0.23/0.44 (define @t110 () (@list @t81 @t80 @t81)) % 0.23/0.44 (define @t111 () (tptp.convergent_lines @t81 @t81)) % 0.23/0.44 (define @t112 () (tptp.distinct_lines @t80 @t81)) % 0.23/0.44 (define @t113 () (or @t93 @t112 @t111)) % 0.23/0.44 (define @t114 () (@list false true false)) % 0.23/0.44 (define @t115 () (@list @t80 @t81)) % 0.23/0.44 (define @t116 () (tptp.convergent_lines @t80 @t81)) % 0.23/0.44 (define @t117 () (or @t93 @t111 @t116)) % 0.23/0.44 (define @t118 () (tptp.apart_point_and_line @t85 @t81)) % 0.23/0.44 (define @t119 () (not @t118)) % 0.23/0.44 (define @t120 () (not @t116)) % 0.23/0.44 (define @t121 () (or @t120 @t119)) % 0.23/0.44 (define @t122 () (tptp.apart_point_and_line @t84 @t80)) % 0.23/0.44 (define @t123 () (not @t122)) % 0.23/0.44 (define @t124 () (or @t91 @t123)) % 0.23/0.44 (define @t125 () (tptp.apart_point_and_line @t85 @t80)) % 0.23/0.44 (define @t126 () (not @t125)) % 0.23/0.44 (define @t127 () (or @t120 @t126)) % 0.23/0.44 (define @t128 () (tptp.apart_point_and_line @t84 @t81)) % 0.23/0.44 (define @t129 () (not @t112)) % 0.23/0.44 (define @t130 () (not @t107)) % 0.23/0.44 (define @t131 () (or @t130 @t129 @t125 @t118 @t122 @t128)) % 0.23/0.44 (define @t132 () (@list @t81 @t80)) % 0.23/0.44 (define @t133 () (tptp.apart_point_and_line @t82 @t81)) % 0.23/0.44 (define @t134 () (not @t133)) % 0.23/0.44 (define @t135 () (or @t93 @t134)) % 0.23/0.44 (define @t136 () (tptp.distinct_points @t84 @t82)) % 0.23/0.44 (define @t137 () (not @t128)) % 0.23/0.44 (define @t138 () (or @t137 @t136 @t133)) % 0.23/0.44 (define @t139 () (tptp.convergent_lines @t83 @t83)) % 0.23/0.44 (define @t140 () (tptp.distinct_lines @t80 @t83)) % 0.23/0.44 (define @t141 () (or @t91 @t140 @t139)) % 0.23/0.44 (define @t142 () (tptp.apart_point_and_line @t82 @t83)) % 0.23/0.44 (define @t143 () (not @t142)) % 0.23/0.44 (define @t144 () (= @t88 @t143)) % 0.23/0.44 (define @t145 () (tptp.apart_point_and_line @t82 @t80)) % 0.23/0.44 (define @t146 () (not @t145)) % 0.23/0.44 (define @t147 () (or @t93 @t146)) % 0.23/0.44 (define @t148 () (not @t140)) % 0.23/0.44 (define @t149 () (not @t136)) % 0.23/0.44 (define @t150 () (or @t149 @t148 @t122 @t103 @t145 @t142)) % 0.23/0.44 (define @t151 () (not @t150)) % 0.23/0.44 (define @t152 () (forall @t31 @t74)) % 0.23/0.44 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.23/0.44 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.23/0.44 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.23/0.44 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.23/0.44 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.23/0.44 (assume @p6 @t14) % 0.23/0.44 (assume @p7 (forall @t16 (=> @t6 (not (tptp.apart_point_and_line @t1 @t15))))) % 0.23/0.44 (assume @p8 (forall @t16 (=> @t6 (not (tptp.apart_point_and_line @t4 @t15))))) % 0.23/0.44 (assume @p9 @t19) % 0.23/0.44 (assume @p10 @t21) % 0.23/0.44 (assume @p11 @t32) % 0.23/0.44 (assume @p12 @t36) % 0.23/0.44 (assume @p13 (forall @t7 (=> @t35 (or @t8 @t37)))) % 0.23/0.44 (assume @p14 @t39) % 0.23/0.44 (assume @p15 (forall @t16 (=> @t9 @t13))) % 0.23/0.44 (assume @p16 (forall @t16 (not (tptp.convergent_lines @t40 @t4)))) % 0.23/0.44 (assume @p17 (forall @t16 (not (tptp.apart_point_and_line @t1 @t40)))) % 0.23/0.44 (assume @p18 (forall @t7 (=> @t8 (or @t35 @t37 @t10)))) % 0.23/0.44 (assume @p19 (forall @t45 (or @t44 @t43))) % 0.23/0.44 (assume @p20 (forall @t51 (=> (and @t44 @t43) (or (and @t50 @t49) (and @t48 @t47))))) % 0.23/0.44 (assume @p21 (forall @t54 (not (tptp.unorthogonal_lines @t53 @t42)))) % 0.23/0.44 (assume @p22 (forall @t54 (not (tptp.apart_point_and_line @t52 @t53)))) % 0.23/0.44 (assume @p23 (forall (@list @t52 @t42 @t41 @t46) (=> (tptp.distinct_lines @t42 @t41) (or (tptp.apart_point_and_line @t52 @t42) (tptp.apart_point_and_line @t52 @t41) @t49 @t47)))) % 0.23/0.44 (assume @p24 (forall @t45 (not (and @t56 @t55)))) % 0.23/0.44 (assume @p25 (forall @t51 (=> (and (or @t56 @t55) (or (not @t50) @t58)) (or @t57 (not @t47))))) % 0.23/0.44 (assume @p26 (forall @t51 (=> (and @t55 @t58) @t57))) % 0.23/0.44 (assume @p27 (forall (@list @t52 @t59) (=> (and @t60 (tptp.point @t59) (tptp.distinct_points @t52 @t59)) (tptp.line (tptp.line_connecting @t52 @t59))))) % 0.23/0.44 (assume @p28 (forall @t45 (=> (and @t61 (tptp.line @t41) @t44) (tptp.point (tptp.intersection_point @t42 @t41))))) % 0.23/0.44 (assume @p29 (forall @t63 (=> @t62 (tptp.line (tptp.parallel_through_point @t42 @t52))))) % 0.23/0.44 (assume @p30 (forall @t63 (=> @t62 (tptp.line @t53)))) % 0.23/0.44 (assume @p31 (forall @t16 (= (tptp.equal_points @t1 @t4) @t64))) % 0.23/0.44 (assume @p32 (forall @t16 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.23/0.44 (assume @p33 (forall @t16 (= (tptp.parallel_lines @t1 @t4) @t65))) % 0.23/0.44 (assume @p34 (forall @t16 (= (tptp.incident_point_and_line @t1 @t4) @t66))) % 0.23/0.44 (assume @p35 (forall @t16 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.23/0.44 (assume @p36 @t72) % 0.23/0.44 (assume @p37 true) % 0.23/0.44 (step @p38 :rule aci_norm :args ((= (or (or @t64 @t73) @t28) @t74))) % 0.23/0.44 (step @p39 :rule refl :args (@t28)) % 0.23/0.44 (step @p40 :rule bool-and-de-morgan :args (@t6 @t29 true)) % 0.23/0.44 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t30) @t28))) % 0.23/0.44 (step @p42 :rule trans :premises (@p41 @p38)) % 0.23/0.44 (step @p43 :rule bool-impl-elim :args (@t30 @t28)) % 0.23/0.44 (step @p44 :rule trans :premises (@p43 @p42)) % 0.23/0.44 (step @p45 :rule cong :premises (@p44) :args (@t32)) % 0.23/0.44 (step @p46 :rule eq_resolve :premises (@p11 @p45)) % 0.23/0.44 (step @p47 :rule aci_norm :args ((= (or @t66 @t34) (or @t66 @t5 @t33)))) % 0.23/0.44 (step @p48 :rule bool-impl-elim :args (@t35 @t34)) % 0.23/0.44 (step @p49 :rule trans :premises (@p48 @p47)) % 0.23/0.44 (step @p50 :rule cong :premises (@p49) :args (@t36)) % 0.23/0.44 (step @p51 :rule eq_resolve :premises (@p12 @p50)) % 0.23/0.44 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t84 @t81 @t82))) % 0.23/0.44 (step @p53 :rule instantiate :premises (@p46) :args ((@list @t85 @t84 @t80 @t81))) % 0.23/0.44 (step @p54 :rule instantiate :premises (@p51) :args ((@list @t85 @t83 @t84))) % 0.23/0.44 (step @p55 :rule instantiate :premises (@p34) :args ((@list @t85 @t83))) % 0.23/0.44 (step @p56 :rule aci_norm :args ((= (or @t86 @t67) @t78))) % 0.23/0.44 (step @p57 :rule refl :args (@t67)) % 0.23/0.44 (step @p58 :rule aci_norm :args ((= (or @t65 (or @t77 (or @t76 @t75))) @t86))) % 0.23/0.44 (step @p59 :rule bool-and-de-morgan :args (@t11 @t68 true)) % 0.23/0.44 (step @p60 :rule refl :args (@t77)) % 0.23/0.44 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t77 (not (and @t11 @t68))))) % 0.23/0.44 (step @p62 :rule bool-and-de-morgan :args (@t69 @t11 (and @t68))) % 0.23/0.44 (step @p63 :rule trans :premises (@p62 @p61)) % 0.23/0.44 (step @p64 :rule refl :args (@t65)) % 0.23/0.44 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t65 (not (and @t69 @t11 @t68))))) % 0.23/0.44 (step @p66 :rule bool-and-de-morgan :args (@t13 @t69 (and @t11 @t68))) % 0.23/0.44 (step @p67 :rule trans :premises (@p66 @p65)) % 0.23/0.44 (step @p68 :rule trans :premises (@p67 @p58)) % 0.23/0.44 (step @p69 :rule nary_cong :premises (@p68 @p57) :args ((or (not @t70) @t67))) % 0.23/0.44 (step @p70 :rule trans :premises (@p69 @p56)) % 0.23/0.44 (step @p71 :rule bool-impl-elim :args (@t70 @t67)) % 0.23/0.44 (step @p72 :rule trans :premises (@p71 @p70)) % 0.23/0.44 (step @p73 :rule cong :premises (@p72) :args (@t71)) % 0.23/0.44 (step @p74 :rule cong :premises (@p73) :args (@t72)) % 0.23/0.44 (step @p75 :rule eq_resolve :premises (@p36 @p74)) % 0.23/0.44 (step @p76 :rule skolemize :premises (@p75)) % 0.23/0.44 (step @p77 :rule cnf_or_neg :args (@t94 4)) % 0.23/0.44 (step @p78 :rule chain_m_resolution :premises (@p77 @p76) :args ((not @t87) @t95 @t96)) % 0.23/0.44 (step @p79 :rule bool-double-not-elim :args (@t97)) % 0.23/0.44 (step @p80 :rule refl :args (@t87)) % 0.23/0.44 (step @p81 :rule refl :args (@t100)) % 0.23/0.44 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79) :args ((or @t100 @t87 (not @t98)))) % 0.23/0.44 (step @p83 :rule cnf_equiv_pos2 :args (@t99)) % 0.23/0.44 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.23/0.44 (step @p85 :rule reordering :premises (@p84) :args ((or @t87 @t97 @t100))) % 0.23/0.44 (step @p86 :rule chain_m_resolution :premises (@p85 @p78 @p55) :args (@t97 @t101 (@list @t87 @t99))) % 0.23/0.44 (step @p87 :rule bool-impl-elim :args (@t13 @t18)) % 0.23/0.44 (step @p88 :rule cong :premises (@p87) :args (@t19)) % 0.23/0.44 (step @p89 :rule eq_resolve :premises (@p9 @p88)) % 0.23/0.44 (step @p90 :rule instantiate :premises (@p89) :args (@t102)) % 0.23/0.44 (step @p91 :rule bool-double-not-elim :args (@t90)) % 0.23/0.44 (step @p92 :rule refl :args (@t94)) % 0.23/0.44 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t94 (not @t91)))) % 0.23/0.44 (step @p94 :rule cnf_or_neg :args (@t94 1)) % 0.23/0.44 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.23/0.44 (step @p96 :rule reordering :premises (@p95) :args ((or @t90 @t94))) % 0.23/0.44 (step @p97 :rule chain_m_resolution :premises (@p96 @p76) :args (@t90 @t95 @t96)) % 0.23/0.44 (step @p98 :rule cnf_or_pos :args (@t105)) % 0.23/0.44 (step @p99 :rule reordering :premises (@p98) :args ((or @t91 @t104 (not @t105)))) % 0.23/0.44 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p90) :args (@t104 @t106 (@list @t90 @t105))) % 0.23/0.44 (step @p101 :rule cnf_or_pos :args (@t108)) % 0.23/0.44 (step @p102 :rule reordering :premises (@p101) :args ((or @t103 @t98 @t107 (not @t108)))) % 0.23/0.44 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p86 @p54) :args (@t107 @t109 (@list @t103 @t97 @t108))) % 0.23/0.44 (step @p104 :rule aci_norm :args ((= (or @t65 @t38) (or @t65 @t8 @t11)))) % 0.23/0.44 (step @p105 :rule bool-impl-elim :args (@t13 @t38)) % 0.23/0.44 (step @p106 :rule trans :premises (@p105 @p104)) % 0.23/0.44 (step @p107 :rule cong :premises (@p106) :args (@t39)) % 0.23/0.44 (step @p108 :rule eq_resolve :premises (@p14 @p107)) % 0.23/0.44 (step @p109 :rule instantiate :premises (@p108) :args (@t110)) % 0.23/0.44 (step @p110 :rule instantiate :premises (@p3) :args ((@list @t81))) % 0.23/0.44 (step @p111 :rule bool-double-not-elim :args (@t92)) % 0.23/0.44 (step @p112 :rule nary_cong :premises (@p92 @p111) :args ((or @t94 (not @t93)))) % 0.23/0.44 (step @p113 :rule cnf_or_neg :args (@t94 0)) % 0.23/0.44 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 0.23/0.44 (step @p115 :rule reordering :premises (@p114) :args ((or @t92 @t94))) % 0.23/0.44 (step @p116 :rule chain_m_resolution :premises (@p115 @p76) :args (@t92 @t95 @t96)) % 0.23/0.44 (step @p117 :rule cnf_or_pos :args (@t113)) % 0.23/0.44 (step @p118 :rule reordering :premises (@p117) :args ((or @t93 @t112 @t111 (not @t113)))) % 0.23/0.44 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p110 @p109) :args (@t112 @t114 (@list @t92 @t111 @t113))) % 0.23/0.44 (step @p120 :rule bool-impl-elim :args (@t13 @t20)) % 0.23/0.44 (step @p121 :rule cong :premises (@p120) :args (@t21)) % 0.23/0.44 (step @p122 :rule eq_resolve :premises (@p10 @p121)) % 0.23/0.44 (step @p123 :rule instantiate :premises (@p122) :args (@t115)) % 0.23/0.44 (step @p124 :rule aci_norm :args ((= (or @t65 @t12) (or @t65 @t11 @t10)))) % 0.23/0.44 (step @p125 :rule bool-impl-elim :args (@t13 @t12)) % 0.23/0.44 (step @p126 :rule trans :premises (@p125 @p124)) % 0.23/0.44 (step @p127 :rule cong :premises (@p126) :args (@t14)) % 0.23/0.44 (step @p128 :rule eq_resolve :premises (@p6 @p127)) % 0.23/0.44 (step @p129 :rule instantiate :premises (@p128) :args (@t110)) % 0.23/0.44 (step @p130 :rule cnf_or_pos :args (@t117)) % 0.23/0.44 (step @p131 :rule reordering :premises (@p130) :args ((or @t93 @t116 @t111 (not @t117)))) % 0.23/0.44 (step @p132 :rule chain_m_resolution :premises (@p131 @p116 @p110 @p129) :args (@t116 @t114 (@list @t92 @t111 @t117))) % 0.23/0.44 (step @p133 :rule cnf_or_pos :args (@t121)) % 0.23/0.44 (step @p134 :rule reordering :premises (@p133) :args ((or @t120 @t119 (not @t121)))) % 0.23/0.44 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p123) :args (@t119 @t106 (@list @t116 @t121))) % 0.23/0.44 (step @p136 :rule instantiate :premises (@p122) :args (@t102)) % 0.23/0.44 (step @p137 :rule cnf_or_pos :args (@t124)) % 0.23/0.44 (step @p138 :rule reordering :premises (@p137) :args ((or @t91 @t123 (not @t124)))) % 0.23/0.44 (step @p139 :rule chain_m_resolution :premises (@p138 @p97 @p136) :args (@t123 @t106 (@list @t90 @t124))) % 0.23/0.44 (step @p140 :rule instantiate :premises (@p89) :args (@t115)) % 0.23/0.44 (step @p141 :rule cnf_or_pos :args (@t127)) % 0.23/0.44 (step @p142 :rule reordering :premises (@p141) :args ((or @t120 @t126 (not @t127)))) % 0.23/0.44 (step @p143 :rule chain_m_resolution :premises (@p142 @p132 @p140) :args (@t126 @t106 (@list @t116 @t127))) % 0.23/0.44 (step @p144 :rule cnf_or_pos :args (@t131)) % 0.23/0.44 (step @p145 :rule reordering :premises (@p144) :args ((or @t125 @t122 @t118 @t129 @t128 @t130 (not @t131)))) % 0.23/0.44 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p139 @p135 @p119 @p103 @p53) :args (@t128 (@list true true true false false false) (@list @t125 @t122 @t118 @t112 @t107 @t131))) % 0.23/0.44 (step @p147 :rule instantiate :premises (@p89) :args (@t132)) % 0.23/0.44 (step @p148 :rule cnf_or_pos :args (@t135)) % 0.23/0.44 (step @p149 :rule reordering :premises (@p148) :args ((or @t93 @t134 (not @t135)))) % 0.23/0.44 (step @p150 :rule chain_m_resolution :premises (@p149 @p116 @p147) :args (@t134 @t106 (@list @t92 @t135))) % 0.23/0.44 (step @p151 :rule cnf_or_pos :args (@t138)) % 0.23/0.44 (step @p152 :rule reordering :premises (@p151) :args ((or @t133 @t137 @t136 (not @t138)))) % 0.23/0.44 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p146 @p52) :args (@t136 @t109 (@list @t133 @t128 @t138))) % 0.23/0.44 (step @p154 :rule instantiate :premises (@p108) :args ((@list @t83 @t80 @t83))) % 0.23/0.44 (step @p155 :rule instantiate :premises (@p3) :args ((@list @t83))) % 0.23/0.44 (step @p156 :rule cnf_or_pos :args (@t141)) % 0.23/0.44 (step @p157 :rule reordering :premises (@p156) :args ((or @t91 @t139 @t140 (not @t141)))) % 0.23/0.44 (step @p158 :rule chain_m_resolution :premises (@p157 @p97 @p155 @p154) :args (@t140 @t114 (@list @t90 @t139 @t141))) % 0.23/0.44 (step @p159 :rule instantiate :premises (@p34) :args ((@list @t82 @t83))) % 0.23/0.44 (step @p160 :rule bool-double-not-elim :args (@t88)) % 0.23/0.44 (step @p161 :rule nary_cong :premises (@p92 @p160) :args ((or @t94 (not @t89)))) % 0.23/0.44 (step @p162 :rule cnf_or_neg :args (@t94 3)) % 0.23/0.44 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 0.23/0.44 (step @p164 :rule reordering :premises (@p163) :args ((or @t88 @t94))) % 0.23/0.44 (step @p165 :rule chain_m_resolution :premises (@p164 @p76) :args (@t88 @t95 @t96)) % 0.23/0.44 (step @p166 :rule cnf_equiv_pos1 :args (@t144)) % 0.23/0.44 (step @p167 :rule reordering :premises (@p166) :args ((or @t89 @t143 (not @t144)))) % 0.23/0.44 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p159) :args (@t143 @t106 (@list @t88 @t144))) % 0.23/0.44 (step @p169 :rule instantiate :premises (@p122) :args (@t132)) % 0.23/0.44 (step @p170 :rule cnf_or_pos :args (@t147)) % 0.23/0.44 (step @p171 :rule reordering :premises (@p170) :args ((or @t93 @t146 (not @t147)))) % 0.23/0.44 (step @p172 :rule chain_m_resolution :premises (@p171 @p116 @p169) :args (@t146 @t106 (@list @t92 @t147))) % 0.23/0.44 (step @p173 :rule cnf_or_pos :args (@t150)) % 0.23/0.44 (step @p174 :rule reordering :premises (@p173) :args ((or @t103 @t145 @t122 @t142 @t148 @t149 @t151))) % 0.23/0.44 (step @p175 :rule chain_m_resolution :premises (@p174 @p100 @p172 @p139 @p168 @p158 @p153) :args (@t151 (@list true true true true false false) (@list @t103 @t145 @t122 @t142 @t140 @t136))) % 0.23/0.44 (assume-push @p182 @t152) % 0.23/0.44 (step @p177 :rule instantiate :premises (@p46) :args ((@list @t84 @t82 @t80 @t83))) % 0.23/0.44 (step-pop @p183 :rule scope :premises (@p177)) % 0.23/0.44 (step @p178 :rule process_scope :premises (@p183) :args (@t150)) % 0.23/0.44 (step @p180 :rule implies_elim :premises (@p178)) % 0.23/0.44 (step @p181 false :rule chain_m_resolution :premises (@p180 @p175 @p46) :args (false @t101 (@list @t150 @t152))) % 0.23/0.44 ) % 0.23/0.44 % SZS output end Proof % 0.23/0.44 % cvc5 exiting %------------------------------------------------------------------------------