%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO180+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 : n014.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 08:16:34 AM UTC 2026 % Result : Theorem 0.47s 0.65s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO180+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 : n014.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 23:39:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.65 % SZS status Theorem % 0.47/0.65 % SZS output start Proof % 0.47/0.65 ( % 0.47/0.65 (declare-sort $$unsorted 0) % 0.47/0.65 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.line (-> $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.point (-> $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (define @t1 () (@var "X" $$unsorted)) % 0.47/0.65 (define @t2 () (@list @t1)) % 0.47/0.65 (define @t3 () (@var "Z" $$unsorted)) % 0.47/0.65 (define @t4 () (@var "Y" $$unsorted)) % 0.47/0.65 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.47/0.65 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.47/0.65 (define @t7 () (@list @t1 @t4 @t3)) % 0.47/0.65 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.47/0.65 (define @t9 () (tptp.distinct_lines @t1 @t3)) % 0.47/0.65 (define @t10 () (or @t9 @t8)) % 0.47/0.65 (define @t11 () (tptp.distinct_lines @t1 @t4)) % 0.47/0.65 (define @t12 () (forall @t7 (=> @t11 @t10))) % 0.47/0.65 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.47/0.65 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.47/0.65 (define @t15 () (tptp.convergent_lines @t1 @t4)) % 0.47/0.65 (define @t16 () (tptp.line_connecting @t1 @t4)) % 0.47/0.65 (define @t17 () (not (tptp.apart_point_and_line @t1 @t16))) % 0.47/0.65 (define @t18 () (@list @t1 @t4)) % 0.47/0.65 (define @t19 () (forall @t18 (=> @t6 @t17))) % 0.47/0.65 (define @t20 () (not (tptp.apart_point_and_line @t4 @t16))) % 0.47/0.65 (define @t21 () (forall @t18 (=> @t6 @t20))) % 0.47/0.65 (define @t22 () (tptp.intersection_point @t1 @t4)) % 0.47/0.65 (define @t23 () (@var "V" $$unsorted)) % 0.47/0.65 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.47/0.65 (define @t25 () (@var "U" $$unsorted)) % 0.47/0.65 (define @t26 () (tptp.apart_point_and_line @t4 @t25)) % 0.47/0.65 (define @t27 () (tptp.apart_point_and_line @t1 @t23)) % 0.47/0.65 (define @t28 () (tptp.apart_point_and_line @t1 @t25)) % 0.47/0.65 (define @t29 () (or @t28 @t27 @t26 @t24)) % 0.47/0.65 (define @t30 () (tptp.distinct_lines @t25 @t23)) % 0.47/0.65 (define @t31 () (and @t6 @t30)) % 0.47/0.65 (define @t32 () (forall (@list @t1 @t4 @t25 @t23) (=> @t31 @t29))) % 0.47/0.65 (define @t33 () (tptp.apart_point_and_line @t3 @t4)) % 0.47/0.65 (define @t34 () (or @t5 @t33)) % 0.47/0.65 (define @t35 () (tptp.apart_point_and_line @t1 @t4)) % 0.47/0.65 (define @t36 () (forall @t7 (=> @t35 @t34))) % 0.47/0.65 (define @t37 () (tptp.apart_point_and_line @t1 @t3)) % 0.47/0.65 (define @t38 () (or @t8 @t37)) % 0.47/0.65 (define @t39 () (forall @t7 (=> @t35 @t38))) % 0.47/0.65 (define @t40 () (or @t8 @t14)) % 0.47/0.65 (define @t41 () (forall @t7 (=> @t15 @t40))) % 0.47/0.65 (define @t42 () (forall @t18 (=> @t11 @t15))) % 0.47/0.65 (define @t43 () (tptp.parallel_through_point @t4 @t1)) % 0.47/0.65 (define @t44 () (@var "M" $$unsorted)) % 0.47/0.65 (define @t45 () (@var "L" $$unsorted)) % 0.47/0.65 (define @t46 () (tptp.unorthogonal_lines @t45 @t44)) % 0.47/0.65 (define @t47 () (tptp.convergent_lines @t45 @t44)) % 0.47/0.65 (define @t48 () (@list @t45 @t44)) % 0.47/0.65 (define @t49 () (@var "N" $$unsorted)) % 0.47/0.65 (define @t50 () (tptp.unorthogonal_lines @t44 @t49)) % 0.47/0.65 (define @t51 () (tptp.convergent_lines @t44 @t49)) % 0.47/0.65 (define @t52 () (tptp.unorthogonal_lines @t45 @t49)) % 0.47/0.65 (define @t53 () (tptp.convergent_lines @t45 @t49)) % 0.47/0.65 (define @t54 () (@list @t45 @t44 @t49)) % 0.47/0.65 (define @t55 () (@var "A" $$unsorted)) % 0.47/0.65 (define @t56 () (tptp.orthogonal_through_point @t45 @t55)) % 0.47/0.65 (define @t57 () (@list @t55 @t45)) % 0.47/0.65 (define @t58 () (not @t46)) % 0.47/0.65 (define @t59 () (not @t47)) % 0.47/0.65 (define @t60 () (not @t51)) % 0.47/0.65 (define @t61 () (not @t52)) % 0.47/0.65 (define @t62 () (@var "B" $$unsorted)) % 0.47/0.65 (define @t63 () (tptp.point @t55)) % 0.47/0.65 (define @t64 () (tptp.line @t45)) % 0.47/0.65 (define @t65 () (and @t64 @t63)) % 0.47/0.65 (define @t66 () (@list @t45 @t55)) % 0.47/0.65 (define @t67 () (not @t6)) % 0.47/0.65 (define @t68 () (not @t11)) % 0.47/0.65 (define @t69 () (not @t15)) % 0.47/0.65 (define @t70 () (not @t35)) % 0.47/0.65 (define @t71 () (tptp.apart_point_and_line @t1 (tptp.line_connecting @t3 @t4))) % 0.47/0.65 (define @t72 () (tptp.apart_point_and_line @t3 @t16)) % 0.47/0.65 (define @t73 () (=> @t72 @t71)) % 0.47/0.65 (define @t74 () (forall @t7 (=> @t6 @t73))) % 0.47/0.65 (define @t75 () (not @t74)) % 0.47/0.65 (define @t76 () (not @t72)) % 0.47/0.65 (define @t77 () (or @t67 @t76 @t71)) % 0.47/0.65 (define @t78 () (forall @t7 @t77)) % 0.47/0.65 (define @t79 () (@quantifiers_skolemize @t78 1)) % 0.47/0.65 (define @t80 () (@quantifiers_skolemize @t78 2)) % 0.47/0.65 (define @t81 () (tptp.line_connecting @t80 @t79)) % 0.47/0.65 (define @t82 () (@quantifiers_skolemize @t78 0)) % 0.47/0.65 (define @t83 () (tptp.line_connecting @t82 @t79)) % 0.47/0.65 (define @t84 () (tptp.parallel_through_point @t83 @t82)) % 0.47/0.65 (define @t85 () (tptp.convergent_lines @t84 @t83)) % 0.47/0.65 (define @t86 () (tptp.distinct_lines @t84 @t83)) % 0.47/0.65 (define @t87 () (not @t86)) % 0.47/0.65 (define @t88 () (or @t87 @t85)) % 0.47/0.65 (define @t89 () (@list true false)) % 0.47/0.65 (define @t90 () (tptp.distinct_lines @t83 @t83)) % 0.47/0.65 (define @t91 () (tptp.distinct_lines @t83 @t84)) % 0.47/0.65 (define @t92 () (not @t91)) % 0.47/0.65 (define @t93 () (or @t92 @t90 @t86)) % 0.47/0.65 (define @t94 () (@list true true false)) % 0.47/0.65 (define @t95 () (tptp.apart_point_and_line @t80 @t83)) % 0.47/0.65 (define @t96 () (tptp.apart_point_and_line @t82 @t81)) % 0.47/0.65 (define @t97 () (not @t95)) % 0.47/0.65 (define @t98 () (tptp.distinct_points @t82 @t79)) % 0.47/0.65 (define @t99 () (not @t98)) % 0.47/0.65 (define @t100 () (or @t99 @t97 @t96)) % 0.47/0.65 (define @t101 () (@list true)) % 0.47/0.65 (define @t102 () (@list @t100)) % 0.47/0.65 (define @t103 () (tptp.apart_point_and_line @t80 @t84)) % 0.47/0.65 (define @t104 () (or @t97 @t91 @t103)) % 0.47/0.65 (define @t105 () (@list false true false)) % 0.47/0.65 (define @t106 () (@list @t80 @t79)) % 0.47/0.65 (define @t107 () (@list @t82 @t79)) % 0.47/0.65 (define @t108 () (tptp.apart_point_and_line @t79 @t83)) % 0.47/0.65 (define @t109 () (not @t108)) % 0.47/0.65 (define @t110 () (or @t99 @t109)) % 0.47/0.65 (define @t111 () (@list false false)) % 0.47/0.65 (define @t112 () (tptp.distinct_points @t80 @t79)) % 0.47/0.65 (define @t113 () (or @t97 @t112 @t108)) % 0.47/0.65 (define @t114 () (tptp.apart_point_and_line @t80 @t81)) % 0.47/0.65 (define @t115 () (not @t114)) % 0.47/0.65 (define @t116 () (not @t112)) % 0.47/0.65 (define @t117 () (or @t116 @t115)) % 0.47/0.65 (define @t118 () (tptp.distinct_lines @t84 @t81)) % 0.47/0.65 (define @t119 () (not @t103)) % 0.47/0.65 (define @t120 () (or @t119 @t118 @t114)) % 0.47/0.65 (define @t121 () (not @t30)) % 0.47/0.65 (define @t122 () (tptp.apart_point_and_line @t79 @t81)) % 0.47/0.65 (define @t123 () (not @t122)) % 0.47/0.65 (define @t124 () (or @t116 @t123)) % 0.47/0.65 (define @t125 () (tptp.apart_point_and_line @t82 @t83)) % 0.47/0.65 (define @t126 () (not @t125)) % 0.47/0.65 (define @t127 () (or @t99 @t126)) % 0.47/0.65 (define @t128 () (tptp.distinct_lines @t81 @t83)) % 0.47/0.65 (define @t129 () (not @t128)) % 0.47/0.65 (define @t130 () (or @t99 @t129 @t96 @t125 @t122 @t108)) % 0.47/0.65 (define @t131 () (tptp.convergent_lines @t84 @t81)) % 0.47/0.65 (define @t132 () (not @t131)) % 0.47/0.65 (define @t133 () (or @t132 @t128 @t85)) % 0.47/0.65 (define @t134 () (not @t118)) % 0.47/0.65 (define @t135 () (or @t134 @t131)) % 0.47/0.65 (define @t136 () (not @t135)) % 0.47/0.65 (define @t137 () (forall @t18 (or @t68 @t15))) % 0.47/0.65 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.47/0.65 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.47/0.65 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.47/0.65 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.47/0.65 (assume @p5 @t12) % 0.47/0.65 (assume @p6 (forall @t7 (=> @t15 (or @t14 @t13)))) % 0.47/0.65 (assume @p7 @t19) % 0.47/0.65 (assume @p8 @t21) % 0.47/0.65 (assume @p9 (forall @t18 (=> @t15 (not (tptp.apart_point_and_line @t22 @t1))))) % 0.47/0.65 (assume @p10 (forall @t18 (=> @t15 (not (tptp.apart_point_and_line @t22 @t4))))) % 0.47/0.65 (assume @p11 @t32) % 0.47/0.65 (assume @p12 @t36) % 0.47/0.65 (assume @p13 @t39) % 0.47/0.65 (assume @p14 @t41) % 0.47/0.65 (assume @p15 @t42) % 0.47/0.65 (assume @p16 (forall @t18 (not (tptp.convergent_lines @t43 @t4)))) % 0.47/0.65 (assume @p17 (forall @t18 (not (tptp.apart_point_and_line @t1 @t43)))) % 0.47/0.65 (assume @p18 (forall @t7 (=> @t8 (or @t35 @t37 @t13)))) % 0.47/0.65 (assume @p19 (forall @t48 (or @t47 @t46))) % 0.47/0.65 (assume @p20 (forall @t54 (=> (and @t47 @t46) (or (and @t53 @t52) (and @t51 @t50))))) % 0.47/0.65 (assume @p21 (forall @t57 (not (tptp.unorthogonal_lines @t56 @t45)))) % 0.47/0.65 (assume @p22 (forall @t57 (not (tptp.apart_point_and_line @t55 @t56)))) % 0.47/0.65 (assume @p23 (forall (@list @t55 @t45 @t44 @t49) (=> (tptp.distinct_lines @t45 @t44) (or (tptp.apart_point_and_line @t55 @t45) (tptp.apart_point_and_line @t55 @t44) @t52 @t50)))) % 0.47/0.65 (assume @p24 (forall @t48 (not (and @t59 @t58)))) % 0.47/0.65 (assume @p25 (forall @t54 (=> (and (or @t59 @t58) (or (not @t53) @t61)) (or @t60 (not @t50))))) % 0.47/0.65 (assume @p26 (forall @t54 (=> (and @t58 @t61) @t60))) % 0.47/0.65 (assume @p27 (forall (@list @t55 @t62) (=> (and @t63 (tptp.point @t62) (tptp.distinct_points @t55 @t62)) (tptp.line (tptp.line_connecting @t55 @t62))))) % 0.47/0.65 (assume @p28 (forall @t48 (=> (and @t64 (tptp.line @t44) @t47) (tptp.point (tptp.intersection_point @t45 @t44))))) % 0.47/0.65 (assume @p29 (forall @t66 (=> @t65 (tptp.line (tptp.parallel_through_point @t45 @t55))))) % 0.47/0.65 (assume @p30 (forall @t66 (=> @t65 (tptp.line @t56)))) % 0.47/0.65 (assume @p31 (forall @t18 (= (tptp.equal_points @t1 @t4) @t67))) % 0.47/0.65 (assume @p32 (forall @t18 (= (tptp.equal_lines @t1 @t4) @t68))) % 0.47/0.65 (assume @p33 (forall @t18 (= (tptp.parallel_lines @t1 @t4) @t69))) % 0.47/0.65 (assume @p34 (forall @t18 (= (tptp.incident_point_and_line @t1 @t4) @t70))) % 0.47/0.65 (assume @p35 (forall @t18 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.47/0.65 (assume @p36 @t75) % 0.47/0.65 (assume @p37 true) % 0.47/0.65 (step @p38 :rule bool-impl-elim :args (@t11 @t15)) % 0.47/0.65 (step @p39 :rule cong :premises (@p38) :args (@t42)) % 0.47/0.65 (step @p40 :rule eq_resolve :premises (@p15 @p39)) % 0.47/0.65 (step @p41 :rule aci_norm :args ((= (or @t70 @t38) (or @t70 @t8 @t37)))) % 0.47/0.65 (step @p42 :rule bool-impl-elim :args (@t35 @t38)) % 0.47/0.65 (step @p43 :rule trans :premises (@p42 @p41)) % 0.47/0.65 (step @p44 :rule cong :premises (@p43) :args (@t39)) % 0.47/0.65 (step @p45 :rule eq_resolve :premises (@p13 @p44)) % 0.47/0.65 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t80 @t84 @t81))) % 0.47/0.65 (step @p47 :rule instantiate :premises (@p45) :args ((@list @t80 @t83 @t84))) % 0.47/0.65 (step @p48 :rule aci_norm :args ((= (or @t68 @t10) (or @t68 @t9 @t8)))) % 0.47/0.65 (step @p49 :rule bool-impl-elim :args (@t11 @t10)) % 0.47/0.65 (step @p50 :rule trans :premises (@p49 @p48)) % 0.47/0.65 (step @p51 :rule cong :premises (@p50) :args (@t12)) % 0.47/0.65 (step @p52 :rule eq_resolve :premises (@p5 @p51)) % 0.47/0.65 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t83 @t84 @t83))) % 0.47/0.65 (step @p54 :rule instantiate :premises (@p40) :args ((@list @t84 @t83))) % 0.47/0.65 (step @p55 :rule instantiate :premises (@p16) :args ((@list @t82 @t83))) % 0.47/0.65 (step @p56 :rule cnf_or_pos :args (@t88)) % 0.47/0.65 (step @p57 :rule reordering :premises (@p56) :args ((or @t85 @t87 (not @t88)))) % 0.47/0.65 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p54) :args (@t87 @t89 (@list @t85 @t88))) % 0.47/0.65 (step @p59 :rule instantiate :premises (@p2) :args ((@list @t83))) % 0.47/0.65 (step @p60 :rule cnf_or_pos :args (@t93)) % 0.47/0.65 (step @p61 :rule reordering :premises (@p60) :args ((or @t90 @t86 @t92 (not @t93)))) % 0.47/0.65 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p58 @p53) :args (@t92 @t94 (@list @t90 @t86 @t93))) % 0.47/0.65 (step @p63 :rule aci_norm :args ((= (or @t67 (or @t76 @t71)) @t77))) % 0.47/0.65 (step @p64 :rule bool-impl-elim :args (@t72 @t71)) % 0.47/0.65 (step @p65 :rule refl :args (@t67)) % 0.47/0.65 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t67 @t73))) % 0.47/0.65 (step @p67 :rule trans :premises (@p66 @p63)) % 0.47/0.65 (step @p68 :rule bool-impl-elim :args (@t6 @t73)) % 0.47/0.65 (step @p69 :rule trans :premises (@p68 @p67)) % 0.47/0.65 (step @p70 :rule cong :premises (@p69) :args (@t74)) % 0.47/0.65 (step @p71 :rule cong :premises (@p70) :args (@t75)) % 0.47/0.65 (step @p72 :rule eq_resolve :premises (@p36 @p71)) % 0.47/0.65 (step @p73 :rule skolemize :premises (@p72)) % 0.47/0.65 (step @p74 :rule bool-double-not-elim :args (@t95)) % 0.47/0.65 (step @p75 :rule refl :args (@t100)) % 0.47/0.65 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t100 (not @t97)))) % 0.47/0.65 (step @p77 :rule cnf_or_neg :args (@t100 1)) % 0.47/0.65 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.47/0.65 (step @p79 :rule reordering :premises (@p78) :args ((or @t95 @t100))) % 0.47/0.65 (step @p80 :rule chain_m_resolution :premises (@p79 @p73) :args (@t95 @t101 @t102)) % 0.47/0.65 (step @p81 :rule cnf_or_pos :args (@t104)) % 0.47/0.65 (step @p82 :rule reordering :premises (@p81) :args ((or @t97 @t103 @t91 (not @t104)))) % 0.47/0.65 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p62 @p47) :args (@t103 @t105 (@list @t95 @t91 @t104))) % 0.47/0.65 (step @p84 :rule bool-impl-elim :args (@t6 @t17)) % 0.47/0.65 (step @p85 :rule cong :premises (@p84) :args (@t19)) % 0.47/0.65 (step @p86 :rule eq_resolve :premises (@p7 @p85)) % 0.47/0.65 (step @p87 :rule instantiate :premises (@p86) :args (@t106)) % 0.47/0.65 (step @p88 :rule aci_norm :args ((= (or @t70 @t34) (or @t70 @t5 @t33)))) % 0.47/0.65 (step @p89 :rule bool-impl-elim :args (@t35 @t34)) % 0.47/0.65 (step @p90 :rule trans :premises (@p89 @p88)) % 0.47/0.65 (step @p91 :rule cong :premises (@p90) :args (@t36)) % 0.47/0.65 (step @p92 :rule eq_resolve :premises (@p12 @p91)) % 0.47/0.65 (step @p93 :rule instantiate :premises (@p92) :args ((@list @t80 @t83 @t79))) % 0.47/0.65 (step @p94 :rule bool-impl-elim :args (@t6 @t20)) % 0.47/0.65 (step @p95 :rule cong :premises (@p94) :args (@t21)) % 0.47/0.65 (step @p96 :rule eq_resolve :premises (@p8 @p95)) % 0.47/0.65 (step @p97 :rule instantiate :premises (@p96) :args (@t107)) % 0.47/0.65 (step @p98 :rule bool-double-not-elim :args (@t98)) % 0.47/0.65 (step @p99 :rule nary_cong :premises (@p75 @p98) :args ((or @t100 (not @t99)))) % 0.47/0.65 (step @p100 :rule cnf_or_neg :args (@t100 0)) % 0.47/0.65 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.47/0.65 (step @p102 :rule reordering :premises (@p101) :args ((or @t98 @t100))) % 0.47/0.65 (step @p103 :rule chain_m_resolution :premises (@p102 @p73) :args (@t98 @t101 @t102)) % 0.47/0.65 (step @p104 :rule cnf_or_pos :args (@t110)) % 0.47/0.65 (step @p105 :rule reordering :premises (@p104) :args ((or @t99 @t109 (not @t110)))) % 0.47/0.65 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p97) :args (@t109 @t111 (@list @t98 @t110))) % 0.47/0.65 (step @p107 :rule cnf_or_pos :args (@t113)) % 0.47/0.65 (step @p108 :rule reordering :premises (@p107) :args ((or @t97 @t112 @t108 (not @t113)))) % 0.47/0.65 (step @p109 :rule chain_m_resolution :premises (@p108 @p80 @p106 @p93) :args (@t112 @t105 (@list @t95 @t108 @t113))) % 0.47/0.65 (step @p110 :rule cnf_or_pos :args (@t117)) % 0.47/0.65 (step @p111 :rule reordering :premises (@p110) :args ((or @t116 @t115 (not @t117)))) % 0.47/0.65 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p87) :args (@t115 @t111 (@list @t112 @t117))) % 0.47/0.65 (step @p113 :rule cnf_or_pos :args (@t120)) % 0.47/0.65 (step @p114 :rule reordering :premises (@p113) :args ((or @t114 @t118 @t119 (not @t120)))) % 0.47/0.65 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p83 @p46) :args (@t118 (@list true false false) (@list @t114 @t103 @t120))) % 0.47/0.65 (step @p116 :rule aci_norm :args ((= (or @t69 @t40) (or @t69 @t8 @t14)))) % 0.47/0.65 (step @p117 :rule bool-impl-elim :args (@t15 @t40)) % 0.47/0.65 (step @p118 :rule trans :premises (@p117 @p116)) % 0.47/0.65 (step @p119 :rule cong :premises (@p118) :args (@t41)) % 0.47/0.65 (step @p120 :rule eq_resolve :premises (@p14 @p119)) % 0.47/0.65 (step @p121 :rule instantiate :premises (@p120) :args ((@list @t84 @t81 @t83))) % 0.47/0.65 (step @p122 :rule aci_norm :args ((= (or (or @t67 @t121) @t29) (or @t67 @t121 @t28 @t27 @t26 @t24)))) % 0.47/0.65 (step @p123 :rule refl :args (@t29)) % 0.47/0.65 (step @p124 :rule bool-and-de-morgan :args (@t6 @t30 true)) % 0.47/0.65 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t31) @t29))) % 0.47/0.65 (step @p126 :rule trans :premises (@p125 @p122)) % 0.47/0.65 (step @p127 :rule bool-impl-elim :args (@t31 @t29)) % 0.47/0.65 (step @p128 :rule trans :premises (@p127 @p126)) % 0.47/0.65 (step @p129 :rule cong :premises (@p128) :args (@t32)) % 0.47/0.65 (step @p130 :rule eq_resolve :premises (@p11 @p129)) % 0.47/0.65 (step @p131 :rule instantiate :premises (@p130) :args ((@list @t82 @t79 @t81 @t83))) % 0.47/0.65 (step @p132 :rule instantiate :premises (@p96) :args (@t106)) % 0.47/0.65 (step @p133 :rule cnf_or_pos :args (@t124)) % 0.47/0.65 (step @p134 :rule reordering :premises (@p133) :args ((or @t116 @t123 (not @t124)))) % 0.47/0.65 (step @p135 :rule chain_m_resolution :premises (@p134 @p109 @p132) :args (@t123 @t111 (@list @t112 @t124))) % 0.47/0.65 (step @p136 :rule instantiate :premises (@p86) :args (@t107)) % 0.47/0.65 (step @p137 :rule cnf_or_pos :args (@t127)) % 0.47/0.65 (step @p138 :rule reordering :premises (@p137) :args ((or @t99 @t126 (not @t127)))) % 0.47/0.65 (step @p139 :rule chain_m_resolution :premises (@p138 @p103 @p136) :args (@t126 @t111 (@list @t98 @t127))) % 0.47/0.65 (step @p140 :rule cnf_or_neg :args (@t100 2)) % 0.47/0.65 (step @p141 :rule chain_m_resolution :premises (@p140 @p73) :args ((not @t96) @t101 @t102)) % 0.47/0.65 (step @p142 :rule cnf_or_pos :args (@t130)) % 0.47/0.65 (step @p143 :rule reordering :premises (@p142) :args ((or @t99 @t96 @t125 @t108 @t122 @t129 (not @t130)))) % 0.47/0.65 (step @p144 :rule chain_m_resolution :premises (@p143 @p103 @p141 @p139 @p106 @p135 @p131) :args (@t129 (@list false true true true true false) (@list @t98 @t96 @t125 @t108 @t122 @t130))) % 0.47/0.66 (step @p145 :rule cnf_or_pos :args (@t133)) % 0.47/0.66 (step @p146 :rule reordering :premises (@p145) :args ((or @t85 @t132 @t128 (not @t133)))) % 0.47/0.66 (step @p147 :rule chain_m_resolution :premises (@p146 @p55 @p144 @p121) :args (@t132 @t94 (@list @t85 @t128 @t133))) % 0.47/0.66 (step @p148 :rule cnf_or_pos :args (@t135)) % 0.47/0.66 (step @p149 :rule reordering :premises (@p148) :args ((or @t131 @t134 @t136))) % 0.47/0.66 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p115) :args (@t136 @t89 (@list @t131 @t118))) % 0.47/0.66 (assume-push @p157 @t137) % 0.47/0.66 (step @p152 :rule instantiate :premises (@p40) :args ((@list @t84 @t81))) % 0.47/0.66 (step-pop @p158 :rule scope :premises (@p152)) % 0.47/0.66 (step @p153 :rule process_scope :premises (@p158) :args (@t135)) % 0.47/0.66 (step @p155 :rule implies_elim :premises (@p153)) % 0.47/0.66 (step @p156 false :rule chain_m_resolution :premises (@p155 @p150 @p40) :args (false @t89 (@list @t135 @t137))) % 0.47/0.66 ) % 0.47/0.66 % SZS output end Proof % 0.47/0.66 % cvc5 exiting %------------------------------------------------------------------------------