%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO266+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 : 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 08:17:00 AM UTC 2026 % Result : Theorem 0.51s 0.73s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO266+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 23:42:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.73 % SZS status Theorem % 0.51/0.73 % SZS output start Proof % 0.51/0.73 ( % 0.51/0.73 (declare-sort $$unsorted 0) % 0.51/0.73 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.73 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.73 (declare-const tptp.point (-> $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.51/0.73 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.right_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.73 (declare-const tptp.right_apart_point (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.equally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.equally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.line (-> $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.unequally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.73 (define @t1 () (@var "Y" $$unsorted)) % 0.51/0.73 (define @t2 () (tptp.reverse_line @t1)) % 0.51/0.73 (define @t3 () (@var "X" $$unsorted)) % 0.51/0.73 (define @t4 () (tptp.unequally_directed_opposite_lines @t3 @t1)) % 0.51/0.73 (define @t5 () (@list @t3 @t1)) % 0.51/0.73 (define @t6 () (forall @t5 (= (tptp.equally_directed_lines @t3 @t1) (not (tptp.unequally_directed_lines @t3 @t1))))) % 0.51/0.73 (define @t7 () (@var "L" $$unsorted)) % 0.51/0.73 (define @t8 () (@var "A" $$unsorted)) % 0.51/0.73 (define @t9 () (tptp.right_apart_point @t8 @t7)) % 0.51/0.73 (define @t10 () (tptp.left_apart_point @t8 @t7)) % 0.51/0.73 (define @t11 () (@list @t8 @t7)) % 0.51/0.73 (define @t12 () (@var "M" $$unsorted)) % 0.51/0.73 (define @t13 () (tptp.unequally_directed_opposite_lines @t7 @t12)) % 0.51/0.73 (define @t14 () (tptp.unequally_directed_lines @t7 @t12)) % 0.51/0.73 (define @t15 () (@list @t7 @t12)) % 0.51/0.73 (define @t16 () (@var "B" $$unsorted)) % 0.51/0.73 (define @t17 () (tptp.left_apart_point @t16 @t7)) % 0.51/0.73 (define @t18 () (@list @t8 @t16 @t7)) % 0.51/0.73 (define @t19 () (tptp.line_connecting @t8 @t16)) % 0.51/0.73 (define @t20 () (tptp.distinct_points @t8 @t16)) % 0.51/0.73 (define @t21 () (tptp.before_on_line @t7 @t8 @t16)) % 0.51/0.73 (define @t22 () (@var "C" $$unsorted)) % 0.51/0.73 (define @t23 () (@list @t7)) % 0.51/0.73 (define @t24 () (@var "N" $$unsorted)) % 0.51/0.73 (define @t25 () (tptp.distinct_lines @t7 @t12)) % 0.51/0.73 (define @t26 () (@list @t7 @t12 @t24)) % 0.51/0.73 (define @t27 () (tptp.unequally_directed_lines @t12 @t24)) % 0.51/0.73 (define @t28 () (tptp.unequally_directed_lines @t7 @t24)) % 0.51/0.73 (define @t29 () (or @t28 @t27)) % 0.51/0.73 (define @t30 () (forall @t26 (=> @t14 @t29))) % 0.51/0.73 (define @t31 () (tptp.reverse_line @t24)) % 0.51/0.73 (define @t32 () (and @t27 (tptp.unequally_directed_lines @t12 @t31))) % 0.51/0.73 (define @t33 () (and @t28 (tptp.unequally_directed_lines @t7 @t31))) % 0.51/0.73 (define @t34 () (or @t33 @t32)) % 0.51/0.73 (define @t35 () (tptp.reverse_line @t12)) % 0.51/0.73 (define @t36 () (tptp.unequally_directed_lines @t7 @t35)) % 0.51/0.73 (define @t37 () (and @t14 @t36)) % 0.51/0.73 (define @t38 () (forall @t26 (=> @t37 @t34))) % 0.51/0.73 (define @t39 () (tptp.left_convergent_lines @t7 @t12)) % 0.51/0.73 (define @t40 () (or @t39 (tptp.left_convergent_lines @t7 @t35))) % 0.51/0.73 (define @t41 () (tptp.reverse_line @t7)) % 0.51/0.73 (define @t42 () (tptp.left_apart_point @t8 @t41)) % 0.51/0.73 (define @t43 () (tptp.point @t8)) % 0.51/0.73 (define @t44 () (@list @t8 @t16)) % 0.51/0.73 (define @t45 () (tptp.intersection_point @t7 @t12)) % 0.51/0.73 (define @t46 () (tptp.line @t7)) % 0.51/0.73 (define @t47 () (tptp.parallel_through_point @t7 @t8)) % 0.51/0.73 (define @t48 () (tptp.left_apart_point @t8 @t35)) % 0.51/0.73 (define @t49 () (forall @t15 (= @t13 (tptp.unequally_directed_opposite_lines @t12 @t7)))) % 0.51/0.73 (define @t50 () (not @t14)) % 0.51/0.73 (define @t51 () (or @t50 @t28 @t27)) % 0.51/0.73 (define @t52 () (@quantifiers_skolemize @t49 0)) % 0.51/0.73 (define @t53 () (tptp.equally_directed_lines @t52 @t52)) % 0.51/0.73 (define @t54 () (tptp.unequally_directed_lines @t52 @t52)) % 0.51/0.73 (define @t55 () (not @t54)) % 0.51/0.73 (define @t56 () (= @t53 @t55)) % 0.51/0.73 (define @t57 () (@list @t52 @t52)) % 0.51/0.73 (define @t58 () (= @t55 @t53)) % 0.51/0.73 (define @t59 () (@list false)) % 0.51/0.73 (define @t60 () (@list @t6)) % 0.51/0.73 (define @t61 () (@list false false)) % 0.51/0.73 (define @t62 () (@quantifiers_skolemize @t49 1)) % 0.51/0.73 (define @t63 () (@list @t52 @t62)) % 0.51/0.73 (define @t64 () (tptp.unequally_directed_opposite_lines @t62 @t52)) % 0.51/0.73 (define @t65 () (tptp.unequally_directed_opposite_lines @t52 @t62)) % 0.51/0.73 (define @t66 () (= @t65 @t64)) % 0.51/0.73 (define @t67 () (tptp.reverse_line @t62)) % 0.51/0.73 (define @t68 () (tptp.unequally_directed_lines @t52 @t67)) % 0.51/0.73 (define @t69 () (= @t65 @t68)) % 0.51/0.73 (define @t70 () (not @t69)) % 0.51/0.73 (define @t71 () (not @t65)) % 0.51/0.73 (define @t72 () (@list @t62 @t52)) % 0.51/0.73 (define @t73 () (tptp.reverse_line @t52)) % 0.51/0.73 (define @t74 () (tptp.unequally_directed_lines @t62 @t73)) % 0.51/0.73 (define @t75 () (= @t64 @t74)) % 0.51/0.73 (define @t76 () (not @t75)) % 0.51/0.73 (define @t77 () (not @t74)) % 0.51/0.73 (define @t78 () (tptp.reverse_line @t73)) % 0.51/0.73 (define @t79 () (and @t74 (tptp.unequally_directed_lines @t62 @t78))) % 0.51/0.73 (define @t80 () (tptp.unequally_directed_lines @t62 @t52)) % 0.51/0.73 (define @t81 () (or @t80 @t74)) % 0.51/0.73 (define @t82 () (not @t36)) % 0.51/0.73 (define @t83 () (tptp.equally_directed_lines @t73 @t73)) % 0.51/0.73 (define @t84 () (tptp.unequally_directed_lines @t73 @t73)) % 0.51/0.73 (define @t85 () (not @t84)) % 0.51/0.73 (define @t86 () (= @t83 @t85)) % 0.51/0.73 (define @t87 () (= @t85 @t83)) % 0.51/0.73 (define @t88 () (and (tptp.unequally_directed_lines @t73 @t52) @t84)) % 0.51/0.73 (define @t89 () (not @t88)) % 0.51/0.73 (define @t90 () (@list true)) % 0.51/0.73 (define @t91 () (tptp.unequally_directed_lines @t52 @t73)) % 0.51/0.73 (define @t92 () (and @t54 @t91)) % 0.51/0.73 (define @t93 () (not @t92)) % 0.51/0.73 (define @t94 () (or @t54 @t91)) % 0.51/0.73 (define @t95 () (@list true false)) % 0.51/0.73 (define @t96 () (tptp.unequally_directed_lines @t52 @t78)) % 0.51/0.73 (define @t97 () (not @t96)) % 0.51/0.73 (define @t98 () (not @t91)) % 0.51/0.73 (define @t99 () (or @t98 @t97 @t92 @t88)) % 0.51/0.73 (define @t100 () (@list false true true false)) % 0.51/0.73 (define @t101 () (and @t91 @t96)) % 0.51/0.73 (define @t102 () (not @t101)) % 0.51/0.73 (define @t103 () (not @t68)) % 0.51/0.73 (define @t104 () (tptp.unequally_directed_lines @t52 @t62)) % 0.51/0.73 (define @t105 () (not @t104)) % 0.51/0.73 (define @t106 () (or @t105 @t103 @t101 @t79)) % 0.51/0.73 (define @t107 () (tptp.equally_directed_lines @t62 @t62)) % 0.51/0.73 (define @t108 () (tptp.unequally_directed_lines @t62 @t62)) % 0.51/0.73 (define @t109 () (not @t108)) % 0.51/0.73 (define @t110 () (= @t107 @t109)) % 0.51/0.73 (define @t111 () (= @t109 @t107)) % 0.51/0.73 (define @t112 () (@list @t62 @t52 @t62)) % 0.51/0.73 (define @t113 () (not @t80)) % 0.51/0.73 (define @t114 () (or @t113 @t108 @t104)) % 0.51/0.73 (define @t115 () (or @t104 @t68)) % 0.51/0.73 (define @t116 () (and @t104 @t68)) % 0.51/0.73 (define @t117 () (not @t116)) % 0.51/0.73 (define @t118 () (and @t108 (tptp.unequally_directed_lines @t62 @t67))) % 0.51/0.73 (define @t119 () (not @t118)) % 0.51/0.73 (define @t120 () (or @t113 @t77 @t118 @t116)) % 0.51/0.73 (define @t121 () (or @t105 @t54 @t80)) % 0.51/0.73 (define @t122 () (not @t121)) % 0.51/0.73 (define @t123 () (forall @t26 @t51)) % 0.51/0.73 (assume @p1 (forall @t5 (= @t4 (tptp.unequally_directed_lines @t3 @t2)))) % 0.51/0.73 (assume @p2 (forall @t5 (= (tptp.right_apart_point @t3 @t1) (tptp.left_apart_point @t3 @t2)))) % 0.51/0.73 (assume @p3 (forall @t5 (= (tptp.right_convergent_lines @t3 @t1) (tptp.left_convergent_lines @t3 @t2)))) % 0.51/0.73 (assume @p4 @t6) % 0.51/0.73 (assume @p5 (forall @t5 (= (tptp.equally_directed_opposite_lines @t3 @t1) (not @t4)))) % 0.51/0.73 (assume @p6 (forall @t11 (= (tptp.apart_point_and_line @t8 @t7) (or @t10 @t9)))) % 0.51/0.73 (assume @p7 (forall @t15 (= (tptp.convergent_lines @t7 @t12) (and @t14 @t13)))) % 0.51/0.73 (assume @p8 (forall @t18 (= (tptp.divides_points @t7 @t8 @t16) (or (and @t10 (tptp.right_apart_point @t16 @t7)) (and @t9 @t17))))) % 0.51/0.73 (assume @p9 (forall (@list @t7 @t8 @t16) (= @t21 (and @t20 (tptp.incident_point_and_line @t8 @t7) (tptp.incident_point_and_line @t16 @t7) (tptp.equally_directed_lines @t7 @t19))))) % 0.51/0.73 (assume @p10 (forall (@list @t7 @t8 @t16 @t22) (= (tptp.between_on_line @t7 @t8 @t16 @t22) (or (and @t21 (tptp.before_on_line @t7 @t16 @t22)) (and (tptp.before_on_line @t7 @t22 @t16) (tptp.before_on_line @t7 @t16 @t8)))))) % 0.51/0.73 (assume @p11 (forall (@list @t8) (not (tptp.distinct_points @t8 @t8)))) % 0.51/0.73 (assume @p12 (forall (@list @t8 @t16 @t22) (=> @t20 (or (tptp.distinct_points @t8 @t22) (tptp.distinct_points @t16 @t22))))) % 0.51/0.73 (assume @p13 (forall @t23 (not (tptp.distinct_lines @t7 @t7)))) % 0.51/0.73 (assume @p14 (forall @t26 (=> @t25 (or (tptp.distinct_lines @t7 @t24) (tptp.distinct_lines @t12 @t24))))) % 0.51/0.73 (assume @p15 (forall @t23 (tptp.equally_directed_lines @t7 @t7))) % 0.51/0.73 (assume @p16 @t30) % 0.51/0.73 (assume @p17 @t38) % 0.51/0.73 (assume @p18 (forall @t15 (or @t14 @t36))) % 0.51/0.73 (assume @p19 (forall @t15 (=> @t37 @t40))) % 0.51/0.73 (assume @p20 (forall @t11 (not (or @t10 @t42)))) % 0.51/0.73 (assume @p21 (forall @t15 (not @t40))) % 0.51/0.73 (assume @p22 (forall @t44 (=> (and @t43 (tptp.point @t16) @t20) (tptp.line @t19)))) % 0.51/0.73 (assume @p23 (forall @t15 (=> (and @t46 (tptp.line @t12) @t14 @t36) (tptp.point @t45)))) % 0.51/0.73 (assume @p24 (forall (@list @t7 @t8) (=> (and @t43 @t46) (tptp.line @t47)))) % 0.51/0.73 (assume @p25 (forall @t23 (=> @t46 (tptp.line @t41)))) % 0.51/0.73 (assume @p26 (forall @t44 (=> @t20 (and (not (tptp.apart_point_and_line @t8 @t19)) (not (tptp.apart_point_and_line @t16 @t19)))))) % 0.51/0.73 (assume @p27 (forall @t15 (=> @t37 (and (not (tptp.apart_point_and_line @t45 @t7)) (not (tptp.apart_point_and_line @t45 @t12)))))) % 0.51/0.73 (assume @p28 (forall @t11 (not (tptp.apart_point_and_line @t8 @t47)))) % 0.51/0.73 (assume @p29 (forall @t23 (not (tptp.distinct_lines @t7 @t41)))) % 0.51/0.73 (assume @p30 (forall @t44 (=> @t20 (tptp.equally_directed_lines @t19 (tptp.reverse_line (tptp.line_connecting @t16 @t8)))))) % 0.51/0.73 (assume @p31 (forall @t11 (tptp.equally_directed_lines @t47 @t7))) % 0.51/0.73 (assume @p32 (forall (@list @t8 @t16 @t7 @t12) (=> (and @t20 @t25) (or @t10 @t17 (tptp.left_apart_point @t8 @t12) (tptp.left_apart_point @t16 @t12) @t42 (tptp.left_apart_point @t16 @t41) @t48 (tptp.left_apart_point @t16 @t35))))) % 0.51/0.73 (assume @p33 (forall @t18 (=> (and @t20 @t10) (or @t17 (tptp.left_convergent_lines @t19 @t7))))) % 0.51/0.73 (assume @p34 (forall @t18 (=> @t10 (or @t20 @t17)))) % 0.51/0.73 (assume @p35 (forall (@list @t8 @t7 @t12) (=> (and @t10 @t14) (or @t25 @t48)))) % 0.51/0.73 (assume @p36 (forall @t26 (=> @t39 (or @t27 (tptp.left_convergent_lines @t7 @t24))))) % 0.51/0.73 (assume @p37 (not @t49)) % 0.51/0.73 (assume @p38 true) % 0.51/0.73 (step @p39 :rule aci_norm :args ((= (or @t50 @t29) @t51))) % 0.51/0.73 (step @p40 :rule bool-impl-elim :args (@t14 @t29)) % 0.51/0.73 (step @p41 :rule trans :premises (@p40 @p39)) % 0.51/0.73 (step @p42 :rule cong :premises (@p41) :args (@t30)) % 0.51/0.73 (step @p43 :rule eq_resolve :premises (@p16 @p42)) % 0.51/0.73 (step @p44 :rule eq-symm :args (@t53 @t55)) % 0.51/0.73 (step @p45 :rule refl :args (@t6)) % 0.51/0.73 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t6 @t56))) % 0.51/0.73 (assume-push @p162 @t6) % 0.51/0.73 (step @p48 :rule instantiate :premises (@p4) :args (@t57)) % 0.51/0.73 (step-pop @p163 :rule scope :premises (@p48)) % 0.51/0.73 (step @p49 :rule process_scope :premises (@p163) :args (@t56)) % 0.51/0.73 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.51/0.73 (step @p52 :rule implies_elim :premises (@p51)) % 0.51/0.73 (step @p53 :rule chain_m_resolution :premises (@p52 @p4) :args (@t58 @t59 @t60)) % 0.51/0.73 (step @p54 :rule instantiate :premises (@p15) :args ((@list @t52))) % 0.51/0.73 (step @p55 :rule cnf_equiv_pos2 :args (@t58)) % 0.51/0.73 (step @p56 :rule reordering :premises (@p55) :args ((or @t55 (not @t53) (not @t58)))) % 0.51/0.73 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p53) :args (@t55 @t61 (@list @t53 @t58))) % 0.51/0.73 (step @p58 :rule instantiate :premises (@p18) :args (@t63)) % 0.51/0.73 (step @p59 :rule instantiate :premises (@p1) :args (@t63)) % 0.51/0.73 (step @p60 :rule skolemize :premises (@p37)) % 0.51/0.73 (step @p61 :rule cnf_equiv_neg2 :args (@t66)) % 0.51/0.73 (step @p62 :rule cnf_equiv_pos1 :args (@t69)) % 0.51/0.73 (step @p63 :rule reordering :premises (@p62) :args ((or @t71 @t68 @t70))) % 0.51/0.73 (step @p64 :rule instantiate :premises (@p1) :args (@t72)) % 0.51/0.73 (step @p65 :rule cnf_equiv_pos2 :args (@t75)) % 0.51/0.73 (step @p66 :rule reordering :premises (@p65) :args ((or @t64 @t77 @t76))) % 0.51/0.73 (step @p67 :rule cnf_and_pos :args (@t79 0)) % 0.51/0.73 (step @p68 :rule reordering :premises (@p67) :args ((or @t74 (not @t79)))) % 0.51/0.73 (step @p69 :rule instantiate :premises (@p18) :args (@t72)) % 0.51/0.73 (step @p70 :rule cnf_or_pos :args (@t81)) % 0.51/0.73 (step @p71 :rule reordering :premises (@p70) :args ((or @t74 @t80 (not @t81)))) % 0.51/0.73 (step @p72 :rule aci_norm :args ((= (or (or @t50 @t82) @t34) (or @t50 @t82 @t33 @t32)))) % 0.51/0.73 (step @p73 :rule refl :args (@t34)) % 0.51/0.73 (step @p74 :rule bool-and-de-morgan :args (@t14 @t36 true)) % 0.51/0.73 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t37) @t34))) % 0.51/0.73 (step @p76 :rule trans :premises (@p75 @p72)) % 0.51/0.73 (step @p77 :rule bool-impl-elim :args (@t37 @t34)) % 0.51/0.73 (step @p78 :rule trans :premises (@p77 @p76)) % 0.51/0.73 (step @p79 :rule cong :premises (@p78) :args (@t38)) % 0.51/0.73 (step @p80 :rule eq_resolve :premises (@p17 @p79)) % 0.51/0.73 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t52 @t73 @t52))) % 0.51/0.73 (step @p82 :rule eq-symm :args (@t83 @t85)) % 0.51/0.73 (step @p83 :rule cong :premises (@p45 @p82) :args ((=> @t6 @t86))) % 0.51/0.73 (assume-push @p164 @t6) % 0.51/0.73 (step @p85 :rule instantiate :premises (@p4) :args ((@list @t73 @t73))) % 0.51/0.73 (step-pop @p165 :rule scope :premises (@p85)) % 0.51/0.73 (step @p86 :rule process_scope :premises (@p165) :args (@t86)) % 0.51/0.73 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 0.51/0.73 (step @p89 :rule implies_elim :premises (@p88)) % 0.51/0.73 (step @p90 :rule chain_m_resolution :premises (@p89 @p4) :args (@t87 @t59 @t60)) % 0.51/0.73 (step @p91 :rule instantiate :premises (@p15) :args ((@list @t73))) % 0.51/0.73 (step @p92 :rule cnf_equiv_pos2 :args (@t87)) % 0.51/0.73 (step @p93 :rule reordering :premises (@p92) :args ((or @t85 (not @t83) (not @t87)))) % 0.51/0.73 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90) :args (@t85 @t61 (@list @t83 @t87))) % 0.51/0.73 (step @p95 :rule cnf_and_pos :args (@t88 1)) % 0.51/0.73 (step @p96 :rule reordering :premises (@p95) :args ((or @t84 @t89))) % 0.51/0.73 (step @p97 :rule chain_m_resolution :premises (@p96 @p94) :args (@t89 @t90 (@list @t84))) % 0.51/0.73 (step @p98 :rule cnf_and_pos :args (@t92 0)) % 0.51/0.73 (step @p99 :rule reordering :premises (@p98) :args ((or @t54 @t93))) % 0.51/0.73 (step @p100 :rule chain_m_resolution :premises (@p99 @p57) :args (@t93 @t90 (@list @t54))) % 0.51/0.73 (step @p101 :rule instantiate :premises (@p18) :args (@t57)) % 0.51/0.73 (step @p102 :rule cnf_or_pos :args (@t94)) % 0.51/0.73 (step @p103 :rule reordering :premises (@p102) :args ((or @t91 @t54 (not @t94)))) % 0.51/0.73 (step @p104 :rule chain_m_resolution :premises (@p103 @p57 @p101) :args (@t91 @t95 (@list @t54 @t94))) % 0.51/0.73 (step @p105 :rule cnf_or_pos :args (@t99)) % 0.51/0.73 (step @p106 :rule reordering :premises (@p105) :args ((or @t97 @t98 @t92 @t88 (not @t99)))) % 0.51/0.73 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p100 @p97 @p81) :args (@t97 @t100 (@list @t91 @t92 @t88 @t99))) % 0.51/0.73 (step @p108 :rule cnf_and_pos :args (@t101 1)) % 0.51/0.73 (step @p109 :rule reordering :premises (@p108) :args ((or @t96 @t102))) % 0.51/0.73 (step @p110 :rule chain_m_resolution :premises (@p109 @p107) :args (@t102 @t90 (@list @t96))) % 0.51/0.73 (step @p111 :rule instantiate :premises (@p80) :args ((@list @t52 @t62 @t73))) % 0.51/0.73 (step @p112 :rule cnf_or_pos :args (@t106)) % 0.51/0.73 (step @p113 :rule reordering :premises (@p112) :args ((or @t103 @t105 @t79 @t101 (not @t106)))) % 0.51/0.73 (step @p114 :rule eq-symm :args (@t107 @t109)) % 0.51/0.73 (step @p115 :rule cong :premises (@p45 @p114) :args ((=> @t6 @t110))) % 0.51/0.73 (assume-push @p166 @t6) % 0.51/0.73 (step @p117 :rule instantiate :premises (@p4) :args ((@list @t62 @t62))) % 0.51/0.73 (step-pop @p167 :rule scope :premises (@p117)) % 0.51/0.73 (step @p118 :rule process_scope :premises (@p167) :args (@t110)) % 0.51/0.73 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 0.51/0.73 (step @p121 :rule implies_elim :premises (@p120)) % 0.51/0.73 (step @p122 :rule chain_m_resolution :premises (@p121 @p4) :args (@t111 @t59 @t60)) % 0.51/0.73 (step @p123 :rule instantiate :premises (@p15) :args ((@list @t62))) % 0.51/0.73 (step @p124 :rule cnf_equiv_pos2 :args (@t111)) % 0.51/0.73 (step @p125 :rule reordering :premises (@p124) :args ((or @t109 (not @t107) (not @t111)))) % 0.51/0.73 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p122) :args (@t109 @t61 (@list @t107 @t111))) % 0.51/0.73 (step @p127 :rule instantiate :premises (@p43) :args (@t112)) % 0.51/0.73 (step @p128 :rule cnf_or_pos :args (@t114)) % 0.51/0.73 (step @p129 :rule reordering :premises (@p128) :args ((or @t104 @t113 @t108 (not @t114)))) % 0.51/0.73 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p126 @p113 @p111 @p110 @p71 @p69 @p68 @p66 @p64 @p63 @p59 @p61 @p60) :args (@t71 (@list false true true false true false false true true false false false true true) (@list @t114 @t108 @t104 @t106 @t101 @t80 @t81 @t79 @t74 @t75 @t68 @t69 @t64 @t66))) % 0.51/0.73 (step @p131 :rule cnf_equiv_pos2 :args (@t69)) % 0.51/0.73 (step @p132 :rule reordering :premises (@p131) :args ((or @t65 @t103 @t70))) % 0.51/0.73 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p59) :args (@t103 @t95 (@list @t65 @t69))) % 0.51/0.73 (step @p134 :rule cnf_or_pos :args (@t115)) % 0.51/0.73 (step @p135 :rule reordering :premises (@p134) :args ((or @t68 @t104 (not @t115)))) % 0.51/0.73 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p58) :args (@t104 @t95 (@list @t68 @t115))) % 0.51/0.73 (step @p137 :rule instantiate :premises (@p80) :args (@t112)) % 0.51/0.73 (step @p138 :rule cnf_and_pos :args (@t116 1)) % 0.51/0.73 (step @p139 :rule reordering :premises (@p138) :args ((or @t68 @t117))) % 0.51/0.73 (step @p140 :rule chain_m_resolution :premises (@p139 @p133) :args (@t117 @t90 (@list @t68))) % 0.51/0.73 (step @p141 :rule cnf_and_pos :args (@t118 0)) % 0.51/0.73 (step @p142 :rule reordering :premises (@p141) :args ((or @t108 @t119))) % 0.51/0.73 (step @p143 :rule chain_m_resolution :premises (@p142 @p126) :args (@t119 @t90 (@list @t108))) % 0.51/0.73 (step @p144 :rule cnf_equiv_neg1 :args (@t66)) % 0.51/0.73 (step @p145 :rule reordering :premises (@p144) :args ((or @t65 @t64 @t66))) % 0.51/0.73 (step @p146 :rule chain_m_resolution :premises (@p145 @p130 @p60) :args (@t64 (@list true true) (@list @t65 @t66))) % 0.51/0.73 (step @p147 :rule cnf_equiv_pos1 :args (@t75)) % 0.51/0.73 (step @p148 :rule reordering :premises (@p147) :args ((or (not @t64) @t74 @t76))) % 0.51/0.73 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p64) :args (@t74 @t61 (@list @t64 @t75))) % 0.51/0.73 (step @p150 :rule cnf_or_pos :args (@t120)) % 0.51/0.73 (step @p151 :rule reordering :premises (@p150) :args ((or @t77 @t113 @t118 @t116 (not @t120)))) % 0.51/0.73 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p143 @p140 @p137) :args (@t113 @t100 (@list @t74 @t118 @t116 @t120))) % 0.51/0.73 (step @p153 :rule cnf_or_pos :args (@t121)) % 0.51/0.73 (step @p154 :rule reordering :premises (@p153) :args ((or @t80 @t105 @t54 @t122))) % 0.51/0.73 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p136 @p57) :args (@t122 (@list true false true) (@list @t80 @t104 @t54))) % 0.51/0.73 (assume-push @p168 @t123) % 0.51/0.73 (step @p157 :rule instantiate :premises (@p43) :args ((@list @t52 @t62 @t52))) % 0.51/0.73 (step-pop @p169 :rule scope :premises (@p157)) % 0.51/0.73 (step @p158 :rule process_scope :premises (@p169) :args (@t121)) % 0.51/0.73 (step @p160 :rule implies_elim :premises (@p158)) % 0.51/0.73 (step @p161 false :rule chain_m_resolution :premises (@p160 @p155 @p43) :args (false @t95 (@list @t121 @t123))) % 0.51/0.73 ) % 0.51/0.73 % SZS output end Proof % 0.51/0.73 % cvc5 exiting %------------------------------------------------------------------------------