%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO191+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 : n015.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 08:16:38 AM UTC 2026 % Result : Theorem 0.45s 0.67s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO191+3 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:39:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.67 % SZS status Theorem % 0.45/0.67 % SZS output start Proof % 0.45/0.67 ( % 0.45/0.67 (declare-sort $$unsorted 0) % 0.45/0.67 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.line (-> $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.point (-> $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (define @t1 () (@var "X" $$unsorted)) % 0.45/0.67 (define @t2 () (@list @t1)) % 0.45/0.67 (define @t3 () (@var "Z" $$unsorted)) % 0.45/0.67 (define @t4 () (@var "Y" $$unsorted)) % 0.45/0.67 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.45/0.67 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.45/0.67 (define @t7 () (@list @t1 @t4 @t3)) % 0.45/0.67 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.45/0.67 (define @t9 () (tptp.distinct_lines @t1 @t3)) % 0.45/0.67 (define @t10 () (or @t9 @t8)) % 0.45/0.67 (define @t11 () (tptp.distinct_lines @t1 @t4)) % 0.45/0.67 (define @t12 () (forall @t7 (=> @t11 @t10))) % 0.45/0.67 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.45/0.67 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.45/0.67 (define @t15 () (tptp.convergent_lines @t1 @t4)) % 0.45/0.67 (define @t16 () (tptp.line_connecting @t1 @t4)) % 0.45/0.67 (define @t17 () (@list @t1 @t4)) % 0.45/0.67 (define @t18 () (tptp.intersection_point @t1 @t4)) % 0.45/0.67 (define @t19 () (not (tptp.apart_point_and_line @t18 @t1))) % 0.45/0.67 (define @t20 () (forall @t17 (=> @t15 @t19))) % 0.45/0.67 (define @t21 () (not (tptp.apart_point_and_line @t18 @t4))) % 0.45/0.67 (define @t22 () (forall @t17 (=> @t15 @t21))) % 0.45/0.67 (define @t23 () (@var "V" $$unsorted)) % 0.45/0.67 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.45/0.67 (define @t25 () (@var "U" $$unsorted)) % 0.45/0.67 (define @t26 () (tptp.apart_point_and_line @t4 @t25)) % 0.45/0.67 (define @t27 () (tptp.apart_point_and_line @t1 @t23)) % 0.45/0.67 (define @t28 () (tptp.apart_point_and_line @t1 @t25)) % 0.45/0.67 (define @t29 () (or @t28 @t27 @t26 @t24)) % 0.45/0.67 (define @t30 () (tptp.distinct_lines @t25 @t23)) % 0.45/0.67 (define @t31 () (and @t6 @t30)) % 0.45/0.67 (define @t32 () (@list @t1 @t4 @t25 @t23)) % 0.45/0.67 (define @t33 () (forall @t32 (=> @t31 @t29))) % 0.45/0.67 (define @t34 () (tptp.apart_point_and_line @t3 @t4)) % 0.45/0.67 (define @t35 () (or @t5 @t34)) % 0.45/0.67 (define @t36 () (tptp.apart_point_and_line @t1 @t4)) % 0.45/0.67 (define @t37 () (forall @t7 (=> @t36 @t35))) % 0.45/0.67 (define @t38 () (tptp.apart_point_and_line @t1 @t3)) % 0.45/0.67 (define @t39 () (or @t8 @t14)) % 0.45/0.67 (define @t40 () (forall @t7 (=> @t15 @t39))) % 0.45/0.67 (define @t41 () (forall @t17 (=> @t11 @t15))) % 0.45/0.67 (define @t42 () (tptp.parallel_through_point @t4 @t1)) % 0.45/0.67 (define @t43 () (@var "M" $$unsorted)) % 0.45/0.67 (define @t44 () (@var "L" $$unsorted)) % 0.45/0.67 (define @t45 () (tptp.unorthogonal_lines @t44 @t43)) % 0.45/0.67 (define @t46 () (tptp.convergent_lines @t44 @t43)) % 0.45/0.67 (define @t47 () (@list @t44 @t43)) % 0.45/0.67 (define @t48 () (@var "N" $$unsorted)) % 0.45/0.67 (define @t49 () (tptp.unorthogonal_lines @t43 @t48)) % 0.45/0.67 (define @t50 () (tptp.convergent_lines @t43 @t48)) % 0.45/0.67 (define @t51 () (tptp.unorthogonal_lines @t44 @t48)) % 0.45/0.67 (define @t52 () (tptp.convergent_lines @t44 @t48)) % 0.45/0.67 (define @t53 () (@list @t44 @t43 @t48)) % 0.45/0.67 (define @t54 () (@var "A" $$unsorted)) % 0.45/0.67 (define @t55 () (tptp.orthogonal_through_point @t44 @t54)) % 0.45/0.67 (define @t56 () (@list @t54 @t44)) % 0.45/0.67 (define @t57 () (not @t45)) % 0.45/0.67 (define @t58 () (not @t46)) % 0.45/0.67 (define @t59 () (not @t50)) % 0.45/0.67 (define @t60 () (not @t51)) % 0.45/0.67 (define @t61 () (@var "B" $$unsorted)) % 0.45/0.67 (define @t62 () (tptp.point @t54)) % 0.45/0.67 (define @t63 () (tptp.line @t44)) % 0.45/0.67 (define @t64 () (and @t63 @t62)) % 0.45/0.67 (define @t65 () (@list @t44 @t54)) % 0.45/0.67 (define @t66 () (not @t6)) % 0.45/0.67 (define @t67 () (not @t11)) % 0.45/0.67 (define @t68 () (not @t15)) % 0.45/0.67 (define @t69 () (not @t36)) % 0.45/0.67 (define @t70 () (tptp.intersection_point @t25 @t23)) % 0.45/0.67 (define @t71 () (tptp.apart_point_and_line @t70 @t4)) % 0.45/0.67 (define @t72 () (tptp.apart_point_and_line @t70 @t1)) % 0.45/0.67 (define @t73 () (or @t72 @t71)) % 0.45/0.67 (define @t74 () (tptp.apart_point_and_line @t18 @t23)) % 0.45/0.67 (define @t75 () (tptp.apart_point_and_line @t18 @t25)) % 0.45/0.67 (define @t76 () (or @t75 @t74)) % 0.45/0.67 (define @t77 () (tptp.convergent_lines @t25 @t23)) % 0.45/0.67 (define @t78 () (and @t15 @t77 @t76)) % 0.45/0.67 (define @t79 () (forall @t32 (=> @t78 @t73))) % 0.45/0.67 (define @t80 () (not @t79)) % 0.45/0.67 (define @t81 () (or @t69 @t5 @t34)) % 0.45/0.67 (define @t82 () (not @t30)) % 0.45/0.67 (define @t83 () (and (not @t75) (not @t74))) % 0.45/0.67 (define @t84 () (not @t77)) % 0.45/0.67 (define @t85 () (or @t68 @t84 @t83 @t72 @t71)) % 0.45/0.67 (define @t86 () (forall @t32 @t85)) % 0.45/0.67 (define @t87 () (@quantifiers_skolemize @t86 1)) % 0.45/0.67 (define @t88 () (@quantifiers_skolemize @t86 0)) % 0.45/0.67 (define @t89 () (@quantifiers_skolemize @t86 3)) % 0.45/0.67 (define @t90 () (@quantifiers_skolemize @t86 2)) % 0.45/0.67 (define @t91 () (tptp.intersection_point @t90 @t89)) % 0.45/0.67 (define @t92 () (tptp.intersection_point @t88 @t87)) % 0.45/0.67 (define @t93 () (not @t76)) % 0.45/0.67 (define @t94 () (or @t68 @t84 @t93)) % 0.45/0.67 (define @t95 () (tptp.convergent_lines @t88 @t87)) % 0.45/0.67 (define @t96 () (tptp.apart_point_and_line @t91 @t87)) % 0.45/0.67 (define @t97 () (tptp.apart_point_and_line @t91 @t88)) % 0.45/0.67 (define @t98 () (tptp.apart_point_and_line @t92 @t89)) % 0.45/0.67 (define @t99 () (not @t98)) % 0.45/0.67 (define @t100 () (tptp.apart_point_and_line @t92 @t90)) % 0.45/0.67 (define @t101 () (not @t100)) % 0.45/0.67 (define @t102 () (and @t101 @t99)) % 0.45/0.67 (define @t103 () (tptp.convergent_lines @t90 @t89)) % 0.45/0.67 (define @t104 () (not @t103)) % 0.45/0.67 (define @t105 () (not @t95)) % 0.45/0.67 (define @t106 () (or @t105 @t104 @t102 @t97 @t96)) % 0.45/0.67 (define @t107 () (@list true)) % 0.45/0.67 (define @t108 () (@list @t106)) % 0.45/0.67 (define @t109 () (tptp.convergent_lines @t88 @t88)) % 0.45/0.67 (define @t110 () (tptp.distinct_lines @t87 @t88)) % 0.45/0.67 (define @t111 () (or @t105 @t110 @t109)) % 0.45/0.67 (define @t112 () (tptp.convergent_lines @t87 @t87)) % 0.45/0.67 (define @t113 () (tptp.distinct_lines @t87 @t87)) % 0.45/0.67 (define @t114 () (not @t113)) % 0.45/0.67 (define @t115 () (or @t114 @t112)) % 0.45/0.67 (define @t116 () (@list true false)) % 0.45/0.67 (define @t117 () (tptp.distinct_lines @t88 @t87)) % 0.45/0.67 (define @t118 () (not @t110)) % 0.45/0.67 (define @t119 () (or @t118 @t113 @t117)) % 0.45/0.67 (define @t120 () (@list @t88 @t87)) % 0.45/0.67 (define @t121 () (tptp.apart_point_and_line @t92 @t87)) % 0.45/0.67 (define @t122 () (not @t121)) % 0.45/0.67 (define @t123 () (or @t105 @t122)) % 0.45/0.67 (define @t124 () (@list false false)) % 0.45/0.67 (define @t125 () (tptp.apart_point_and_line @t92 @t88)) % 0.45/0.67 (define @t126 () (not @t125)) % 0.45/0.67 (define @t127 () (or @t105 @t126)) % 0.45/0.67 (define @t128 () (not @t117)) % 0.45/0.67 (define @t129 () (tptp.distinct_points @t92 @t91)) % 0.45/0.67 (define @t130 () (not @t129)) % 0.45/0.67 (define @t131 () (or @t130 @t128 @t125 @t121 @t97 @t96)) % 0.45/0.67 (define @t132 () (@list @t90 @t89)) % 0.45/0.67 (define @t133 () (tptp.apart_point_and_line @t91 @t89)) % 0.45/0.67 (define @t134 () (not @t133)) % 0.45/0.67 (define @t135 () (or @t104 @t134)) % 0.45/0.67 (define @t136 () (tptp.apart_point_and_line @t91 @t90)) % 0.45/0.67 (define @t137 () (not @t136)) % 0.45/0.67 (define @t138 () (or @t104 @t137)) % 0.45/0.67 (define @t139 () (or @t101 @t129 @t136)) % 0.45/0.67 (define @t140 () (or @t99 @t129 @t133)) % 0.45/0.67 (define @t141 () (not @t140)) % 0.45/0.67 (define @t142 () (forall @t7 @t81)) % 0.45/0.67 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.45/0.67 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.45/0.67 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.45/0.67 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.45/0.67 (assume @p5 @t12) % 0.45/0.67 (assume @p6 (forall @t7 (=> @t15 (or @t14 @t13)))) % 0.45/0.67 (assume @p7 (forall @t17 (=> @t6 (not (tptp.apart_point_and_line @t1 @t16))))) % 0.45/0.67 (assume @p8 (forall @t17 (=> @t6 (not (tptp.apart_point_and_line @t4 @t16))))) % 0.45/0.67 (assume @p9 @t20) % 0.45/0.67 (assume @p10 @t22) % 0.45/0.67 (assume @p11 @t33) % 0.45/0.67 (assume @p12 @t37) % 0.45/0.67 (assume @p13 (forall @t7 (=> @t36 (or @t8 @t38)))) % 0.45/0.67 (assume @p14 @t40) % 0.45/0.67 (assume @p15 @t41) % 0.45/0.67 (assume @p16 (forall @t17 (not (tptp.convergent_lines @t42 @t4)))) % 0.45/0.67 (assume @p17 (forall @t17 (not (tptp.apart_point_and_line @t1 @t42)))) % 0.45/0.67 (assume @p18 (forall @t7 (=> @t8 (or @t36 @t38 @t13)))) % 0.45/0.67 (assume @p19 (forall @t47 (or @t46 @t45))) % 0.45/0.67 (assume @p20 (forall @t53 (=> (and @t46 @t45) (or (and @t52 @t51) (and @t50 @t49))))) % 0.45/0.67 (assume @p21 (forall @t56 (not (tptp.unorthogonal_lines @t55 @t44)))) % 0.45/0.67 (assume @p22 (forall @t56 (not (tptp.apart_point_and_line @t54 @t55)))) % 0.45/0.67 (assume @p23 (forall (@list @t54 @t44 @t43 @t48) (=> (tptp.distinct_lines @t44 @t43) (or (tptp.apart_point_and_line @t54 @t44) (tptp.apart_point_and_line @t54 @t43) @t51 @t49)))) % 0.45/0.67 (assume @p24 (forall @t47 (not (and @t58 @t57)))) % 0.45/0.67 (assume @p25 (forall @t53 (=> (and (or @t58 @t57) (or (not @t52) @t60)) (or @t59 (not @t49))))) % 0.45/0.67 (assume @p26 (forall @t53 (=> (and @t57 @t60) @t59))) % 0.45/0.67 (assume @p27 (forall (@list @t54 @t61) (=> (and @t62 (tptp.point @t61) (tptp.distinct_points @t54 @t61)) (tptp.line (tptp.line_connecting @t54 @t61))))) % 0.45/0.67 (assume @p28 (forall @t47 (=> (and @t63 (tptp.line @t43) @t46) (tptp.point (tptp.intersection_point @t44 @t43))))) % 0.45/0.67 (assume @p29 (forall @t65 (=> @t64 (tptp.line (tptp.parallel_through_point @t44 @t54))))) % 0.45/0.67 (assume @p30 (forall @t65 (=> @t64 (tptp.line @t55)))) % 0.45/0.67 (assume @p31 (forall @t17 (= (tptp.equal_points @t1 @t4) @t66))) % 0.45/0.67 (assume @p32 (forall @t17 (= (tptp.equal_lines @t1 @t4) @t67))) % 0.45/0.67 (assume @p33 (forall @t17 (= (tptp.parallel_lines @t1 @t4) @t68))) % 0.45/0.67 (assume @p34 (forall @t17 (= (tptp.incident_point_and_line @t1 @t4) @t69))) % 0.45/0.67 (assume @p35 (forall @t17 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.45/0.67 (assume @p36 @t80) % 0.45/0.67 (assume @p37 true) % 0.45/0.67 (step @p38 :rule aci_norm :args ((= (or @t69 @t35) @t81))) % 0.45/0.67 (step @p39 :rule bool-impl-elim :args (@t36 @t35)) % 0.45/0.67 (step @p40 :rule trans :premises (@p39 @p38)) % 0.45/0.67 (step @p41 :rule cong :premises (@p40) :args (@t37)) % 0.45/0.67 (step @p42 :rule eq_resolve :premises (@p12 @p41)) % 0.45/0.67 (step @p43 :rule aci_norm :args ((= (or (or @t66 @t82) @t29) (or @t66 @t82 @t28 @t27 @t26 @t24)))) % 0.45/0.67 (step @p44 :rule refl :args (@t29)) % 0.45/0.67 (step @p45 :rule bool-and-de-morgan :args (@t6 @t30 true)) % 0.45/0.67 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t31) @t29))) % 0.45/0.67 (step @p47 :rule trans :premises (@p46 @p43)) % 0.45/0.67 (step @p48 :rule bool-impl-elim :args (@t31 @t29)) % 0.45/0.67 (step @p49 :rule trans :premises (@p48 @p47)) % 0.45/0.67 (step @p50 :rule cong :premises (@p49) :args (@t33)) % 0.45/0.67 (step @p51 :rule eq_resolve :premises (@p11 @p50)) % 0.45/0.67 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t92 @t91 @t88 @t87))) % 0.45/0.67 (step @p53 :rule aci_norm :args ((= (or @t67 @t10) (or @t67 @t9 @t8)))) % 0.45/0.67 (step @p54 :rule bool-impl-elim :args (@t11 @t10)) % 0.45/0.67 (step @p55 :rule trans :premises (@p54 @p53)) % 0.45/0.67 (step @p56 :rule cong :premises (@p55) :args (@t12)) % 0.45/0.67 (step @p57 :rule eq_resolve :premises (@p5 @p56)) % 0.45/0.67 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t87 @t88 @t87))) % 0.45/0.67 (step @p59 :rule aci_norm :args ((= (or @t68 @t39) (or @t68 @t8 @t14)))) % 0.45/0.67 (step @p60 :rule bool-impl-elim :args (@t15 @t39)) % 0.45/0.67 (step @p61 :rule trans :premises (@p60 @p59)) % 0.45/0.67 (step @p62 :rule cong :premises (@p61) :args (@t40)) % 0.45/0.67 (step @p63 :rule eq_resolve :premises (@p14 @p62)) % 0.45/0.67 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t88 @t87 @t88))) % 0.45/0.67 (step @p65 :rule instantiate :premises (@p3) :args ((@list @t88))) % 0.45/0.67 (step @p66 :rule aci_norm :args ((= (or (or @t68 @t84 @t83) @t73) @t85))) % 0.45/0.67 (step @p67 :rule refl :args (@t73)) % 0.45/0.67 (step @p68 :rule bool-or-de-morgan :args (@t75 @t74 false)) % 0.45/0.67 (step @p69 :rule refl :args (@t84)) % 0.45/0.67 (step @p70 :rule refl :args (@t68)) % 0.45/0.67 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68) :args (@t94)) % 0.45/0.67 (step @p72 :rule aci_norm :args ((= (or @t68 (or @t84 @t93)) @t94))) % 0.45/0.67 (step @p73 :rule bool-and-de-morgan :args (@t77 @t76 true)) % 0.45/0.67 (step @p74 :rule nary_cong :premises (@p70 @p73) :args ((or @t68 (not (and @t77 @t76))))) % 0.45/0.67 (step @p75 :rule bool-and-de-morgan :args (@t15 @t77 (and @t76))) % 0.45/0.67 (step @p76 :rule trans :premises (@p75 @p74)) % 0.45/0.67 (step @p77 :rule trans :premises (@p76 @p72)) % 0.45/0.67 (step @p78 :rule trans :premises (@p77 @p71)) % 0.45/0.67 (step @p79 :rule nary_cong :premises (@p78 @p67) :args ((or (not @t78) @t73))) % 0.45/0.67 (step @p80 :rule trans :premises (@p79 @p66)) % 0.45/0.67 (step @p81 :rule bool-impl-elim :args (@t78 @t73)) % 0.45/0.67 (step @p82 :rule trans :premises (@p81 @p80)) % 0.45/0.67 (step @p83 :rule cong :premises (@p82) :args (@t79)) % 0.45/0.67 (step @p84 :rule cong :premises (@p83) :args (@t80)) % 0.45/0.67 (step @p85 :rule eq_resolve :premises (@p36 @p84)) % 0.45/0.67 (step @p86 :rule skolemize :premises (@p85)) % 0.45/0.67 (step @p87 :rule bool-double-not-elim :args (@t95)) % 0.45/0.67 (step @p88 :rule refl :args (@t106)) % 0.45/0.67 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t106 (not @t105)))) % 0.45/0.67 (step @p90 :rule cnf_or_neg :args (@t106 0)) % 0.45/0.67 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.45/0.67 (step @p92 :rule reordering :premises (@p91) :args ((or @t95 @t106))) % 0.45/0.67 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t95 @t107 @t108)) % 0.45/0.67 (step @p94 :rule cnf_or_pos :args (@t111)) % 0.45/0.67 (step @p95 :rule reordering :premises (@p94) :args ((or @t105 @t109 @t110 (not @t111)))) % 0.45/0.67 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p65 @p64) :args (@t110 (@list false true false) (@list @t95 @t109 @t111))) % 0.45/0.67 (step @p97 :rule bool-impl-elim :args (@t11 @t15)) % 0.45/0.67 (step @p98 :rule cong :premises (@p97) :args (@t41)) % 0.45/0.67 (step @p99 :rule eq_resolve :premises (@p15 @p98)) % 0.45/0.67 (step @p100 :rule instantiate :premises (@p99) :args ((@list @t87 @t87))) % 0.45/0.67 (step @p101 :rule instantiate :premises (@p3) :args ((@list @t87))) % 0.45/0.67 (step @p102 :rule cnf_or_pos :args (@t115)) % 0.45/0.67 (step @p103 :rule reordering :premises (@p102) :args ((or @t112 @t114 (not @t115)))) % 0.45/0.67 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p100) :args (@t114 @t116 (@list @t112 @t115))) % 0.45/0.67 (step @p105 :rule cnf_or_pos :args (@t119)) % 0.45/0.67 (step @p106 :rule reordering :premises (@p105) :args ((or @t113 @t118 @t117 (not @t119)))) % 0.45/0.67 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p96 @p58) :args (@t117 (@list true false false) (@list @t113 @t110 @t119))) % 0.45/0.67 (step @p108 :rule bool-impl-elim :args (@t15 @t21)) % 0.45/0.67 (step @p109 :rule cong :premises (@p108) :args (@t22)) % 0.45/0.67 (step @p110 :rule eq_resolve :premises (@p10 @p109)) % 0.45/0.67 (step @p111 :rule instantiate :premises (@p110) :args (@t120)) % 0.45/0.67 (step @p112 :rule cnf_or_pos :args (@t123)) % 0.45/0.67 (step @p113 :rule reordering :premises (@p112) :args ((or @t105 @t122 (not @t123)))) % 0.45/0.67 (step @p114 :rule chain_m_resolution :premises (@p113 @p93 @p111) :args (@t122 @t124 (@list @t95 @t123))) % 0.45/0.67 (step @p115 :rule bool-impl-elim :args (@t15 @t19)) % 0.45/0.67 (step @p116 :rule cong :premises (@p115) :args (@t20)) % 0.45/0.67 (step @p117 :rule eq_resolve :premises (@p9 @p116)) % 0.45/0.67 (step @p118 :rule instantiate :premises (@p117) :args (@t120)) % 0.45/0.67 (step @p119 :rule cnf_or_pos :args (@t127)) % 0.45/0.67 (step @p120 :rule reordering :premises (@p119) :args ((or @t105 @t126 (not @t127)))) % 0.45/0.67 (step @p121 :rule chain_m_resolution :premises (@p120 @p93 @p118) :args (@t126 @t124 (@list @t95 @t127))) % 0.45/0.67 (step @p122 :rule cnf_or_neg :args (@t106 4)) % 0.45/0.67 (step @p123 :rule chain_m_resolution :premises (@p122 @p86) :args ((not @t96) @t107 @t108)) % 0.45/0.67 (step @p124 :rule cnf_or_neg :args (@t106 3)) % 0.45/0.67 (step @p125 :rule chain_m_resolution :premises (@p124 @p86) :args ((not @t97) @t107 @t108)) % 0.45/0.67 (step @p126 :rule cnf_or_pos :args (@t131)) % 0.45/0.67 (step @p127 :rule reordering :premises (@p126) :args ((or @t97 @t96 @t125 @t121 @t128 @t130 (not @t131)))) % 0.45/0.67 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p123 @p121 @p114 @p107 @p52) :args (@t130 (@list true true true true false false) (@list @t97 @t96 @t125 @t121 @t117 @t131))) % 0.45/0.67 (step @p129 :rule instantiate :premises (@p110) :args (@t132)) % 0.45/0.67 (step @p130 :rule bool-double-not-elim :args (@t103)) % 0.45/0.67 (step @p131 :rule nary_cong :premises (@p88 @p130) :args ((or @t106 (not @t104)))) % 0.45/0.67 (step @p132 :rule cnf_or_neg :args (@t106 1)) % 0.45/0.67 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.45/0.67 (step @p134 :rule reordering :premises (@p133) :args ((or @t103 @t106))) % 0.45/0.67 (step @p135 :rule chain_m_resolution :premises (@p134 @p86) :args (@t103 @t107 @t108)) % 0.45/0.67 (step @p136 :rule cnf_or_pos :args (@t135)) % 0.45/0.67 (step @p137 :rule reordering :premises (@p136) :args ((or @t104 @t134 (not @t135)))) % 0.45/0.67 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p129) :args (@t134 @t124 (@list @t103 @t135))) % 0.45/0.67 (step @p139 :rule cnf_or_neg :args (@t106 2)) % 0.45/0.67 (step @p140 :rule chain_m_resolution :premises (@p139 @p86) :args ((not @t102) @t107 @t108)) % 0.45/0.67 (step @p141 :rule instantiate :premises (@p42) :args ((@list @t92 @t90 @t91))) % 0.45/0.67 (step @p142 :rule instantiate :premises (@p117) :args (@t132)) % 0.45/0.68 (step @p143 :rule cnf_or_pos :args (@t138)) % 0.45/0.68 (step @p144 :rule reordering :premises (@p143) :args ((or @t104 @t137 (not @t138)))) % 0.45/0.68 (step @p145 :rule chain_m_resolution :premises (@p144 @p135 @p142) :args (@t137 @t124 (@list @t103 @t138))) % 0.45/0.68 (step @p146 :rule cnf_or_pos :args (@t139)) % 0.45/0.68 (step @p147 :rule reordering :premises (@p146) :args ((or @t101 @t136 @t129 (not @t139)))) % 0.45/0.68 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p128 @p141) :args (@t101 (@list true true false) (@list @t136 @t129 @t139))) % 0.45/0.68 (step @p149 :rule bool-double-not-elim :args (@t98)) % 0.45/0.68 (step @p150 :rule bool-double-not-elim :args (@t100)) % 0.45/0.68 (step @p151 :rule refl :args (@t102)) % 0.45/0.68 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149) :args ((or @t102 (not @t101) (not @t99)))) % 0.45/0.68 (step @p153 :rule cnf_and_neg :args (@t102)) % 0.45/0.68 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.45/0.68 (step @p155 :rule reordering :premises (@p154) :args ((or @t100 @t98 @t102))) % 0.45/0.68 (step @p156 :rule chain_m_resolution :premises (@p155 @p148 @p140) :args (@t98 (@list true true) (@list @t100 @t102))) % 0.45/0.68 (step @p157 :rule cnf_or_pos :args (@t140)) % 0.45/0.68 (step @p158 :rule reordering :premises (@p157) :args ((or @t99 @t133 @t129 @t141))) % 0.45/0.68 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p138 @p128) :args (@t141 (@list false true true) (@list @t98 @t133 @t129))) % 0.45/0.68 (assume-push @p166 @t142) % 0.45/0.68 (step @p161 :rule instantiate :premises (@p42) :args ((@list @t92 @t89 @t91))) % 0.45/0.68 (step-pop @p167 :rule scope :premises (@p161)) % 0.45/0.68 (step @p162 :rule process_scope :premises (@p167) :args (@t140)) % 0.45/0.68 (step @p164 :rule implies_elim :premises (@p162)) % 0.45/0.68 (step @p165 false :rule chain_m_resolution :premises (@p164 @p159 @p42) :args (false @t116 (@list @t140 @t142))) % 0.45/0.68 ) % 0.45/0.68 % SZS output end Proof % 0.45/0.68 % cvc5 exiting %------------------------------------------------------------------------------