%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO196+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 : n003.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 08:16:40 AM UTC 2026 % Result : Theorem 0.46s 0.69s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO196+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 % 0.16/0.35 % Computer : n003.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon Jun 1 23:39:44 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.69 % SZS status Theorem % 0.46/0.69 % SZS output start Proof % 0.46/0.69 ( % 0.46/0.69 (declare-sort $$unsorted 0) % 0.46/0.69 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.line (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.point (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (define @t1 () (@var "X" $$unsorted)) % 0.46/0.69 (define @t2 () (@list @t1)) % 0.46/0.69 (define @t3 () (@var "Z" $$unsorted)) % 0.46/0.69 (define @t4 () (@var "Y" $$unsorted)) % 0.46/0.69 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.46/0.69 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.46/0.69 (define @t7 () (@list @t1 @t4 @t3)) % 0.46/0.69 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.46/0.69 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.46/0.69 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.46/0.69 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.46/0.69 (define @t12 () (or @t11 @t10)) % 0.46/0.69 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.46/0.69 (define @t14 () (forall @t7 (=> @t13 @t12))) % 0.46/0.69 (define @t15 () (tptp.line_connecting @t1 @t4)) % 0.46/0.69 (define @t16 () (@list @t1 @t4)) % 0.46/0.69 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.46/0.69 (define @t18 () (not (tptp.apart_point_and_line @t17 @t1))) % 0.46/0.69 (define @t19 () (forall @t16 (=> @t13 @t18))) % 0.46/0.69 (define @t20 () (not (tptp.apart_point_and_line @t17 @t4))) % 0.46/0.69 (define @t21 () (forall @t16 (=> @t13 @t20))) % 0.46/0.69 (define @t22 () (@var "V" $$unsorted)) % 0.46/0.69 (define @t23 () (tptp.apart_point_and_line @t4 @t22)) % 0.46/0.69 (define @t24 () (@var "U" $$unsorted)) % 0.46/0.69 (define @t25 () (tptp.apart_point_and_line @t4 @t24)) % 0.46/0.69 (define @t26 () (tptp.apart_point_and_line @t1 @t22)) % 0.46/0.69 (define @t27 () (tptp.apart_point_and_line @t1 @t24)) % 0.46/0.69 (define @t28 () (or @t27 @t26 @t25 @t23)) % 0.46/0.69 (define @t29 () (tptp.distinct_lines @t24 @t22)) % 0.46/0.69 (define @t30 () (and @t6 @t29)) % 0.46/0.69 (define @t31 () (@list @t1 @t4 @t24 @t22)) % 0.46/0.69 (define @t32 () (forall @t31 (=> @t30 @t28))) % 0.46/0.69 (define @t33 () (tptp.apart_point_and_line @t3 @t4)) % 0.46/0.69 (define @t34 () (or @t5 @t33)) % 0.46/0.69 (define @t35 () (tptp.apart_point_and_line @t1 @t4)) % 0.46/0.69 (define @t36 () (forall @t7 (=> @t35 @t34))) % 0.46/0.69 (define @t37 () (tptp.apart_point_and_line @t1 @t3)) % 0.46/0.69 (define @t38 () (or @t8 @t11)) % 0.46/0.69 (define @t39 () (forall @t7 (=> @t13 @t38))) % 0.46/0.69 (define @t40 () (tptp.parallel_through_point @t4 @t1)) % 0.46/0.69 (define @t41 () (@var "M" $$unsorted)) % 0.46/0.69 (define @t42 () (@var "L" $$unsorted)) % 0.46/0.69 (define @t43 () (tptp.unorthogonal_lines @t42 @t41)) % 0.46/0.69 (define @t44 () (tptp.convergent_lines @t42 @t41)) % 0.46/0.69 (define @t45 () (@list @t42 @t41)) % 0.46/0.69 (define @t46 () (@var "N" $$unsorted)) % 0.46/0.69 (define @t47 () (tptp.unorthogonal_lines @t41 @t46)) % 0.46/0.69 (define @t48 () (tptp.convergent_lines @t41 @t46)) % 0.46/0.69 (define @t49 () (tptp.unorthogonal_lines @t42 @t46)) % 0.46/0.69 (define @t50 () (tptp.convergent_lines @t42 @t46)) % 0.46/0.69 (define @t51 () (@list @t42 @t41 @t46)) % 0.46/0.69 (define @t52 () (@var "A" $$unsorted)) % 0.46/0.69 (define @t53 () (tptp.orthogonal_through_point @t42 @t52)) % 0.46/0.69 (define @t54 () (@list @t52 @t42)) % 0.46/0.69 (define @t55 () (not @t43)) % 0.46/0.69 (define @t56 () (not @t44)) % 0.46/0.69 (define @t57 () (not @t48)) % 0.46/0.69 (define @t58 () (not @t49)) % 0.46/0.69 (define @t59 () (@var "B" $$unsorted)) % 0.46/0.69 (define @t60 () (tptp.point @t52)) % 0.46/0.69 (define @t61 () (tptp.line @t42)) % 0.46/0.69 (define @t62 () (and @t61 @t60)) % 0.46/0.69 (define @t63 () (@list @t42 @t52)) % 0.46/0.69 (define @t64 () (not @t6)) % 0.46/0.69 (define @t65 () (not @t13)) % 0.46/0.69 (define @t66 () (not @t35)) % 0.46/0.69 (define @t67 () (tptp.intersection_point @t24 @t22)) % 0.46/0.69 (define @t68 () (and (tptp.incident_point_and_line @t67 @t1) (tptp.incident_point_and_line @t67 @t4))) % 0.46/0.69 (define @t69 () (tptp.incident_point_and_line @t17 @t22)) % 0.46/0.69 (define @t70 () (tptp.incident_point_and_line @t17 @t24)) % 0.46/0.69 (define @t71 () (tptp.convergent_lines @t24 @t22)) % 0.46/0.69 (define @t72 () (and @t13 @t71 @t70 @t69)) % 0.46/0.69 (define @t73 () (forall @t31 (=> @t72 @t68))) % 0.46/0.69 (define @t74 () (not @t73)) % 0.46/0.69 (define @t75 () (or @t66 @t5 @t33)) % 0.46/0.69 (define @t76 () (not @t29)) % 0.46/0.69 (define @t77 () (not @t69)) % 0.46/0.69 (define @t78 () (not @t70)) % 0.46/0.69 (define @t79 () (not @t71)) % 0.46/0.69 (define @t80 () (or @t65 @t79 @t78 @t77 @t68)) % 0.46/0.69 (define @t81 () (forall @t31 @t80)) % 0.46/0.69 (define @t82 () (@quantifiers_skolemize @t81 3)) % 0.46/0.69 (define @t83 () (@quantifiers_skolemize @t81 2)) % 0.46/0.69 (define @t84 () (@quantifiers_skolemize @t81 1)) % 0.46/0.69 (define @t85 () (@quantifiers_skolemize @t81 0)) % 0.46/0.69 (define @t86 () (tptp.intersection_point @t85 @t84)) % 0.46/0.69 (define @t87 () (tptp.intersection_point @t83 @t82)) % 0.46/0.69 (define @t88 () (or @t65 @t79 @t78 @t77)) % 0.46/0.69 (define @t89 () (tptp.convergent_lines @t83 @t82)) % 0.46/0.69 (define @t90 () (tptp.incident_point_and_line @t87 @t84)) % 0.46/0.69 (define @t91 () (tptp.incident_point_and_line @t87 @t85)) % 0.46/0.69 (define @t92 () (and @t91 @t90)) % 0.46/0.69 (define @t93 () (tptp.incident_point_and_line @t86 @t82)) % 0.46/0.69 (define @t94 () (not @t93)) % 0.46/0.69 (define @t95 () (tptp.incident_point_and_line @t86 @t83)) % 0.46/0.69 (define @t96 () (not @t95)) % 0.46/0.69 (define @t97 () (not @t89)) % 0.46/0.69 (define @t98 () (tptp.convergent_lines @t85 @t84)) % 0.46/0.69 (define @t99 () (not @t98)) % 0.46/0.69 (define @t100 () (or @t99 @t97 @t96 @t94 @t92)) % 0.46/0.69 (define @t101 () (@list true)) % 0.46/0.69 (define @t102 () (@list @t100)) % 0.46/0.69 (define @t103 () (tptp.convergent_lines @t82 @t83)) % 0.46/0.69 (define @t104 () (tptp.convergent_lines @t83 @t83)) % 0.46/0.69 (define @t105 () (or @t97 @t104 @t103)) % 0.46/0.69 (define @t106 () (tptp.convergent_lines @t82 @t82)) % 0.46/0.69 (define @t107 () (tptp.distinct_lines @t83 @t82)) % 0.46/0.69 (define @t108 () (not @t103)) % 0.46/0.69 (define @t109 () (or @t108 @t107 @t106)) % 0.46/0.69 (define @t110 () (tptp.apart_point_and_line @t86 @t82)) % 0.46/0.69 (define @t111 () (not @t110)) % 0.46/0.69 (define @t112 () (= @t93 @t111)) % 0.46/0.69 (define @t113 () (@list false false)) % 0.46/0.69 (define @t114 () (tptp.apart_point_and_line @t86 @t83)) % 0.46/0.69 (define @t115 () (not @t114)) % 0.46/0.69 (define @t116 () (= @t95 @t115)) % 0.46/0.69 (define @t117 () (@list @t83 @t82)) % 0.46/0.69 (define @t118 () (tptp.apart_point_and_line @t87 @t82)) % 0.46/0.69 (define @t119 () (not @t118)) % 0.46/0.69 (define @t120 () (or @t97 @t119)) % 0.46/0.69 (define @t121 () (tptp.apart_point_and_line @t87 @t83)) % 0.46/0.69 (define @t122 () (not @t121)) % 0.46/0.69 (define @t123 () (or @t97 @t122)) % 0.46/0.69 (define @t124 () (not @t107)) % 0.46/0.69 (define @t125 () (tptp.distinct_points @t87 @t86)) % 0.46/0.69 (define @t126 () (not @t125)) % 0.46/0.69 (define @t127 () (or @t126 @t124 @t121 @t118 @t114 @t110)) % 0.46/0.69 (define @t128 () (@list @t85 @t84)) % 0.46/0.69 (define @t129 () (tptp.apart_point_and_line @t86 @t85)) % 0.46/0.69 (define @t130 () (not @t129)) % 0.46/0.69 (define @t131 () (or @t99 @t130)) % 0.46/0.69 (define @t132 () (tptp.apart_point_and_line @t87 @t85)) % 0.46/0.69 (define @t133 () (not @t132)) % 0.46/0.69 (define @t134 () (or @t133 @t125 @t129)) % 0.46/0.69 (define @t135 () (= @t91 @t133)) % 0.46/0.69 (define @t136 () (not @t135)) % 0.46/0.69 (define @t137 () (@list true false)) % 0.46/0.69 (define @t138 () (tptp.apart_point_and_line @t87 @t84)) % 0.46/0.69 (define @t139 () (not @t138)) % 0.46/0.69 (define @t140 () (= @t90 @t139)) % 0.46/0.69 (define @t141 () (not @t140)) % 0.46/0.69 (define @t142 () (tptp.apart_point_and_line @t86 @t84)) % 0.46/0.69 (define @t143 () (not @t142)) % 0.46/0.69 (define @t144 () (or @t99 @t143)) % 0.46/0.69 (define @t145 () (or @t139 @t125 @t142)) % 0.46/0.69 (define @t146 () (not @t145)) % 0.46/0.69 (define @t147 () (forall @t7 @t75)) % 0.46/0.69 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.46/0.69 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.46/0.69 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.46/0.69 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.46/0.69 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.46/0.69 (assume @p6 @t14) % 0.46/0.69 (assume @p7 (forall @t16 (=> @t6 (not (tptp.apart_point_and_line @t1 @t15))))) % 0.46/0.69 (assume @p8 (forall @t16 (=> @t6 (not (tptp.apart_point_and_line @t4 @t15))))) % 0.46/0.69 (assume @p9 @t19) % 0.46/0.69 (assume @p10 @t21) % 0.46/0.69 (assume @p11 @t32) % 0.46/0.69 (assume @p12 @t36) % 0.46/0.69 (assume @p13 (forall @t7 (=> @t35 (or @t8 @t37)))) % 0.46/0.69 (assume @p14 @t39) % 0.46/0.69 (assume @p15 (forall @t16 (=> @t9 @t13))) % 0.46/0.69 (assume @p16 (forall @t16 (not (tptp.convergent_lines @t40 @t4)))) % 0.46/0.69 (assume @p17 (forall @t16 (not (tptp.apart_point_and_line @t1 @t40)))) % 0.46/0.69 (assume @p18 (forall @t7 (=> @t8 (or @t35 @t37 @t10)))) % 0.46/0.69 (assume @p19 (forall @t45 (or @t44 @t43))) % 0.46/0.69 (assume @p20 (forall @t51 (=> (and @t44 @t43) (or (and @t50 @t49) (and @t48 @t47))))) % 0.46/0.69 (assume @p21 (forall @t54 (not (tptp.unorthogonal_lines @t53 @t42)))) % 0.46/0.69 (assume @p22 (forall @t54 (not (tptp.apart_point_and_line @t52 @t53)))) % 0.46/0.69 (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)))) % 0.46/0.69 (assume @p24 (forall @t45 (not (and @t56 @t55)))) % 0.46/0.69 (assume @p25 (forall @t51 (=> (and (or @t56 @t55) (or (not @t50) @t58)) (or @t57 (not @t47))))) % 0.46/0.69 (assume @p26 (forall @t51 (=> (and @t55 @t58) @t57))) % 0.46/0.69 (assume @p27 (forall (@list @t52 @t59) (=> (and @t60 (tptp.point @t59) (tptp.distinct_points @t52 @t59)) (tptp.line (tptp.line_connecting @t52 @t59))))) % 0.46/0.69 (assume @p28 (forall @t45 (=> (and @t61 (tptp.line @t41) @t44) (tptp.point (tptp.intersection_point @t42 @t41))))) % 0.46/0.69 (assume @p29 (forall @t63 (=> @t62 (tptp.line (tptp.parallel_through_point @t42 @t52))))) % 0.46/0.69 (assume @p30 (forall @t63 (=> @t62 (tptp.line @t53)))) % 0.46/0.69 (assume @p31 (forall @t16 (= (tptp.equal_points @t1 @t4) @t64))) % 0.46/0.69 (assume @p32 (forall @t16 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.46/0.69 (assume @p33 (forall @t16 (= (tptp.parallel_lines @t1 @t4) @t65))) % 0.46/0.69 (assume @p34 (forall @t16 (= (tptp.incident_point_and_line @t1 @t4) @t66))) % 0.46/0.69 (assume @p35 (forall @t16 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.46/0.69 (assume @p36 @t74) % 0.46/0.69 (assume @p37 true) % 0.46/0.69 (step @p38 :rule aci_norm :args ((= (or @t66 @t34) @t75))) % 0.46/0.69 (step @p39 :rule bool-impl-elim :args (@t35 @t34)) % 0.46/0.69 (step @p40 :rule trans :premises (@p39 @p38)) % 0.46/0.69 (step @p41 :rule cong :premises (@p40) :args (@t36)) % 0.46/0.69 (step @p42 :rule eq_resolve :premises (@p12 @p41)) % 0.46/0.69 (step @p43 :rule aci_norm :args ((= (or (or @t64 @t76) @t28) (or @t64 @t76 @t27 @t26 @t25 @t23)))) % 0.46/0.69 (step @p44 :rule refl :args (@t28)) % 0.46/0.69 (step @p45 :rule bool-and-de-morgan :args (@t6 @t29 true)) % 0.46/0.69 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t30) @t28))) % 0.46/0.69 (step @p47 :rule trans :premises (@p46 @p43)) % 0.46/0.69 (step @p48 :rule bool-impl-elim :args (@t30 @t28)) % 0.46/0.69 (step @p49 :rule trans :premises (@p48 @p47)) % 0.46/0.69 (step @p50 :rule cong :premises (@p49) :args (@t32)) % 0.46/0.69 (step @p51 :rule eq_resolve :premises (@p11 @p50)) % 0.46/0.69 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t87 @t86 @t83 @t82))) % 0.46/0.69 (step @p53 :rule aci_norm :args ((= (or @t65 @t38) (or @t65 @t8 @t11)))) % 0.46/0.69 (step @p54 :rule bool-impl-elim :args (@t13 @t38)) % 0.46/0.69 (step @p55 :rule trans :premises (@p54 @p53)) % 0.46/0.69 (step @p56 :rule cong :premises (@p55) :args (@t39)) % 0.46/0.69 (step @p57 :rule eq_resolve :premises (@p14 @p56)) % 0.46/0.69 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t82 @t83 @t82))) % 0.46/0.69 (step @p59 :rule aci_norm :args ((= (or @t65 @t12) (or @t65 @t11 @t10)))) % 0.46/0.69 (step @p60 :rule bool-impl-elim :args (@t13 @t12)) % 0.46/0.69 (step @p61 :rule trans :premises (@p60 @p59)) % 0.46/0.69 (step @p62 :rule cong :premises (@p61) :args (@t14)) % 0.46/0.69 (step @p63 :rule eq_resolve :premises (@p6 @p62)) % 0.46/0.69 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t83 @t82 @t83))) % 0.46/0.69 (step @p65 :rule instantiate :premises (@p3) :args ((@list @t83))) % 0.46/0.69 (step @p66 :rule aci_norm :args ((= (or @t88 @t68) @t80))) % 0.46/0.69 (step @p67 :rule refl :args (@t68)) % 0.46/0.69 (step @p68 :rule aci_norm :args ((= (or @t65 (or @t79 (or @t78 @t77))) @t88))) % 0.46/0.69 (step @p69 :rule bool-and-de-morgan :args (@t70 @t69 true)) % 0.46/0.69 (step @p70 :rule refl :args (@t79)) % 0.46/0.69 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t79 (not (and @t70 @t69))))) % 0.46/0.69 (step @p72 :rule bool-and-de-morgan :args (@t71 @t70 (and @t69))) % 0.46/0.69 (step @p73 :rule trans :premises (@p72 @p71)) % 0.46/0.69 (step @p74 :rule refl :args (@t65)) % 0.46/0.69 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t65 (not (and @t71 @t70 @t69))))) % 0.46/0.69 (step @p76 :rule bool-and-de-morgan :args (@t13 @t71 (and @t70 @t69))) % 0.46/0.69 (step @p77 :rule trans :premises (@p76 @p75)) % 0.46/0.69 (step @p78 :rule trans :premises (@p77 @p68)) % 0.46/0.69 (step @p79 :rule nary_cong :premises (@p78 @p67) :args ((or (not @t72) @t68))) % 0.46/0.69 (step @p80 :rule trans :premises (@p79 @p66)) % 0.46/0.69 (step @p81 :rule bool-impl-elim :args (@t72 @t68)) % 0.46/0.69 (step @p82 :rule trans :premises (@p81 @p80)) % 0.46/0.69 (step @p83 :rule cong :premises (@p82) :args (@t73)) % 0.46/0.69 (step @p84 :rule cong :premises (@p83) :args (@t74)) % 0.46/0.69 (step @p85 :rule eq_resolve :premises (@p36 @p84)) % 0.46/0.69 (step @p86 :rule skolemize :premises (@p85)) % 0.46/0.69 (step @p87 :rule bool-double-not-elim :args (@t89)) % 0.46/0.69 (step @p88 :rule refl :args (@t100)) % 0.46/0.69 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t100 (not @t97)))) % 0.46/0.69 (step @p90 :rule cnf_or_neg :args (@t100 1)) % 0.46/0.69 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.46/0.69 (step @p92 :rule reordering :premises (@p91) :args ((or @t89 @t100))) % 0.46/0.69 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t89 @t101 @t102)) % 0.46/0.69 (step @p94 :rule cnf_or_pos :args (@t105)) % 0.46/0.69 (step @p95 :rule reordering :premises (@p94) :args ((or @t97 @t104 @t103 (not @t105)))) % 0.46/0.69 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p65 @p64) :args (@t103 (@list false true false) (@list @t89 @t104 @t105))) % 0.46/0.69 (step @p97 :rule instantiate :premises (@p3) :args ((@list @t82))) % 0.46/0.69 (step @p98 :rule cnf_or_pos :args (@t109)) % 0.46/0.69 (step @p99 :rule reordering :premises (@p98) :args ((or @t106 @t108 @t107 (not @t109)))) % 0.46/0.69 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p96 @p58) :args (@t107 (@list true false false) (@list @t106 @t103 @t109))) % 0.46/0.69 (step @p101 :rule instantiate :premises (@p34) :args ((@list @t86 @t82))) % 0.46/0.69 (step @p102 :rule bool-double-not-elim :args (@t93)) % 0.46/0.69 (step @p103 :rule nary_cong :premises (@p88 @p102) :args ((or @t100 (not @t94)))) % 0.46/0.69 (step @p104 :rule cnf_or_neg :args (@t100 3)) % 0.46/0.69 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.46/0.69 (step @p106 :rule reordering :premises (@p105) :args ((or @t93 @t100))) % 0.46/0.69 (step @p107 :rule chain_m_resolution :premises (@p106 @p86) :args (@t93 @t101 @t102)) % 0.46/0.69 (step @p108 :rule cnf_equiv_pos1 :args (@t112)) % 0.46/0.69 (step @p109 :rule reordering :premises (@p108) :args ((or @t94 @t111 (not @t112)))) % 0.46/0.69 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p101) :args (@t111 @t113 (@list @t93 @t112))) % 0.46/0.69 (step @p111 :rule instantiate :premises (@p34) :args ((@list @t86 @t83))) % 0.46/0.69 (step @p112 :rule bool-double-not-elim :args (@t95)) % 0.46/0.69 (step @p113 :rule nary_cong :premises (@p88 @p112) :args ((or @t100 (not @t96)))) % 0.46/0.69 (step @p114 :rule cnf_or_neg :args (@t100 2)) % 0.46/0.69 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.46/0.69 (step @p116 :rule reordering :premises (@p115) :args ((or @t95 @t100))) % 0.46/0.69 (step @p117 :rule chain_m_resolution :premises (@p116 @p86) :args (@t95 @t101 @t102)) % 0.46/0.69 (step @p118 :rule cnf_equiv_pos1 :args (@t116)) % 0.46/0.69 (step @p119 :rule reordering :premises (@p118) :args ((or @t96 @t115 (not @t116)))) % 0.46/0.69 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p111) :args (@t115 @t113 (@list @t95 @t116))) % 0.46/0.69 (step @p121 :rule bool-impl-elim :args (@t13 @t20)) % 0.46/0.69 (step @p122 :rule cong :premises (@p121) :args (@t21)) % 0.46/0.69 (step @p123 :rule eq_resolve :premises (@p10 @p122)) % 0.46/0.69 (step @p124 :rule instantiate :premises (@p123) :args (@t117)) % 0.46/0.69 (step @p125 :rule cnf_or_pos :args (@t120)) % 0.46/0.69 (step @p126 :rule reordering :premises (@p125) :args ((or @t97 @t119 (not @t120)))) % 0.46/0.69 (step @p127 :rule chain_m_resolution :premises (@p126 @p93 @p124) :args (@t119 @t113 (@list @t89 @t120))) % 0.46/0.69 (step @p128 :rule bool-impl-elim :args (@t13 @t18)) % 0.46/0.69 (step @p129 :rule cong :premises (@p128) :args (@t19)) % 0.46/0.69 (step @p130 :rule eq_resolve :premises (@p9 @p129)) % 0.46/0.69 (step @p131 :rule instantiate :premises (@p130) :args (@t117)) % 0.46/0.69 (step @p132 :rule cnf_or_pos :args (@t123)) % 0.46/0.69 (step @p133 :rule reordering :premises (@p132) :args ((or @t97 @t122 (not @t123)))) % 0.46/0.69 (step @p134 :rule chain_m_resolution :premises (@p133 @p93 @p131) :args (@t122 @t113 (@list @t89 @t123))) % 0.46/0.69 (step @p135 :rule cnf_or_pos :args (@t127)) % 0.46/0.69 (step @p136 :rule reordering :premises (@p135) :args ((or @t121 @t118 @t114 @t110 @t124 @t126 (not @t127)))) % 0.46/0.69 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p127 @p120 @p110 @p100 @p52) :args (@t126 (@list true true true true false false) (@list @t121 @t118 @t114 @t110 @t107 @t127))) % 0.46/0.69 (step @p138 :rule instantiate :premises (@p34) :args ((@list @t87 @t84))) % 0.46/0.69 (step @p139 :rule instantiate :premises (@p34) :args ((@list @t87 @t85))) % 0.46/0.69 (step @p140 :rule instantiate :premises (@p42) :args ((@list @t87 @t85 @t86))) % 0.46/0.69 (step @p141 :rule instantiate :premises (@p130) :args (@t128)) % 0.46/0.69 (step @p142 :rule bool-double-not-elim :args (@t98)) % 0.46/0.69 (step @p143 :rule nary_cong :premises (@p88 @p142) :args ((or @t100 (not @t99)))) % 0.46/0.69 (step @p144 :rule cnf_or_neg :args (@t100 0)) % 0.46/0.69 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.46/0.69 (step @p146 :rule reordering :premises (@p145) :args ((or @t98 @t100))) % 0.46/0.69 (step @p147 :rule chain_m_resolution :premises (@p146 @p86) :args (@t98 @t101 @t102)) % 0.46/0.69 (step @p148 :rule cnf_or_pos :args (@t131)) % 0.46/0.69 (step @p149 :rule reordering :premises (@p148) :args ((or @t99 @t130 (not @t131)))) % 0.46/0.69 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p141) :args (@t130 @t113 (@list @t98 @t131))) % 0.46/0.69 (step @p151 :rule cnf_or_pos :args (@t134)) % 0.46/0.69 (step @p152 :rule reordering :premises (@p151) :args ((or @t129 @t133 @t125 (not @t134)))) % 0.46/0.69 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p137 @p140) :args (@t133 (@list true true false) (@list @t129 @t125 @t134))) % 0.46/0.69 (step @p154 :rule bool-double-not-elim :args (@t132)) % 0.46/0.69 (step @p155 :rule refl :args (@t91)) % 0.46/0.69 (step @p156 :rule refl :args (@t136)) % 0.46/0.69 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154) :args ((or @t136 @t91 (not @t133)))) % 0.46/0.69 (step @p158 :rule cnf_equiv_pos2 :args (@t135)) % 0.46/0.69 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.46/0.69 (step @p160 :rule reordering :premises (@p159) :args ((or @t91 @t132 @t136))) % 0.46/0.69 (step @p161 :rule chain_m_resolution :premises (@p160 @p153 @p139) :args (@t91 @t137 (@list @t132 @t135))) % 0.46/0.69 (step @p162 :rule cnf_or_neg :args (@t100 4)) % 0.46/0.69 (step @p163 :rule chain_m_resolution :premises (@p162 @p86) :args ((not @t92) @t101 @t102)) % 0.46/0.69 (step @p164 :rule cnf_and_neg :args (@t92)) % 0.46/0.69 (step @p165 :rule chain_m_resolution :premises (@p164 @p163 @p161) :args ((not @t90) @t137 (@list @t92 @t91))) % 0.46/0.69 (step @p166 :rule bool-double-not-elim :args (@t138)) % 0.46/0.69 (step @p167 :rule refl :args (@t90)) % 0.46/0.69 (step @p168 :rule refl :args (@t141)) % 0.46/0.69 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166) :args ((or @t141 @t90 (not @t139)))) % 0.46/0.69 (step @p170 :rule cnf_equiv_pos2 :args (@t140)) % 0.46/0.69 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 0.46/0.69 (step @p172 :rule reordering :premises (@p171) :args ((or @t90 @t138 @t141))) % 0.46/0.69 (step @p173 :rule chain_m_resolution :premises (@p172 @p165 @p138) :args (@t138 @t137 (@list @t90 @t140))) % 0.46/0.69 (step @p174 :rule instantiate :premises (@p123) :args (@t128)) % 0.46/0.69 (step @p175 :rule cnf_or_pos :args (@t144)) % 0.46/0.69 (step @p176 :rule reordering :premises (@p175) :args ((or @t99 @t143 (not @t144)))) % 0.46/0.69 (step @p177 :rule chain_m_resolution :premises (@p176 @p147 @p174) :args (@t143 @t113 (@list @t98 @t144))) % 0.46/0.69 (step @p178 :rule cnf_or_pos :args (@t145)) % 0.46/0.69 (step @p179 :rule reordering :premises (@p178) :args ((or @t142 @t139 @t125 @t146))) % 0.46/0.69 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p173 @p137) :args (@t146 (@list true false true) (@list @t142 @t138 @t125))) % 0.46/0.69 (assume-push @p187 @t147) % 0.46/0.69 (step @p182 :rule instantiate :premises (@p42) :args ((@list @t87 @t84 @t86))) % 0.46/0.69 (step-pop @p188 :rule scope :premises (@p182)) % 0.46/0.69 (step @p183 :rule process_scope :premises (@p188) :args (@t145)) % 0.46/0.69 (step @p185 :rule implies_elim :premises (@p183)) % 0.46/0.69 (step @p186 false :rule chain_m_resolution :premises (@p185 @p180 @p42) :args (false @t137 (@list @t145 @t147))) % 0.46/0.69 ) % 0.46/0.69 % SZS output end Proof % 0.46/0.69 % cvc5 exiting %------------------------------------------------------------------------------