%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO255+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 : n026.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 08:16:57 AM UTC 2026 % Result : Theorem 0.71s 0.97s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO255+3 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:41:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.71/0.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.71/0.97 % SZS status Theorem % 0.71/0.97 % SZS output start Proof % 0.71/0.97 ( % 0.71/0.97 (declare-sort $$unsorted 0) % 0.71/0.97 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.97 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.97 (declare-const tptp.point (-> $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.71/0.97 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.right_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.97 (declare-const tptp.right_apart_point (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.equally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.equally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.line (-> $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.unequally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/0.97 (define @t1 () (@var "Y" $$unsorted)) % 0.71/0.97 (define @t2 () (tptp.reverse_line @t1)) % 0.71/0.97 (define @t3 () (@var "X" $$unsorted)) % 0.71/0.97 (define @t4 () (tptp.unequally_directed_opposite_lines @t3 @t1)) % 0.71/0.97 (define @t5 () (@list @t3 @t1)) % 0.71/0.97 (define @t6 () (forall @t5 (= (tptp.equally_directed_lines @t3 @t1) (not (tptp.unequally_directed_lines @t3 @t1))))) % 0.71/0.97 (define @t7 () (@var "L" $$unsorted)) % 0.71/0.97 (define @t8 () (@var "A" $$unsorted)) % 0.71/0.97 (define @t9 () (tptp.right_apart_point @t8 @t7)) % 0.71/0.97 (define @t10 () (tptp.left_apart_point @t8 @t7)) % 0.71/0.97 (define @t11 () (@list @t8 @t7)) % 0.71/0.97 (define @t12 () (@var "M" $$unsorted)) % 0.71/0.97 (define @t13 () (tptp.unequally_directed_lines @t7 @t12)) % 0.71/0.97 (define @t14 () (@list @t7 @t12)) % 0.71/0.97 (define @t15 () (@var "B" $$unsorted)) % 0.71/0.97 (define @t16 () (tptp.left_apart_point @t15 @t7)) % 0.71/0.97 (define @t17 () (@list @t8 @t15 @t7)) % 0.71/0.97 (define @t18 () (tptp.line_connecting @t8 @t15)) % 0.71/0.97 (define @t19 () (tptp.distinct_points @t8 @t15)) % 0.71/0.97 (define @t20 () (tptp.before_on_line @t7 @t8 @t15)) % 0.71/0.97 (define @t21 () (@list @t7 @t8 @t15)) % 0.71/0.97 (define @t22 () (tptp.before_on_line @t7 @t15 @t8)) % 0.71/0.97 (define @t23 () (@var "C" $$unsorted)) % 0.71/0.97 (define @t24 () (@list @t7)) % 0.71/0.97 (define @t25 () (@var "N" $$unsorted)) % 0.71/0.97 (define @t26 () (tptp.distinct_lines @t7 @t12)) % 0.71/0.97 (define @t27 () (@list @t7 @t12 @t25)) % 0.71/0.97 (define @t28 () (forall @t24 (tptp.equally_directed_lines @t7 @t7))) % 0.71/0.97 (define @t29 () (tptp.unequally_directed_lines @t12 @t25)) % 0.71/0.97 (define @t30 () (tptp.unequally_directed_lines @t7 @t25)) % 0.71/0.97 (define @t31 () (or @t30 @t29)) % 0.71/0.97 (define @t32 () (forall @t27 (=> @t13 @t31))) % 0.71/0.97 (define @t33 () (tptp.reverse_line @t25)) % 0.71/0.97 (define @t34 () (tptp.reverse_line @t12)) % 0.71/0.97 (define @t35 () (tptp.unequally_directed_lines @t7 @t34)) % 0.71/0.97 (define @t36 () (and @t13 @t35)) % 0.71/0.97 (define @t37 () (tptp.left_convergent_lines @t7 @t12)) % 0.71/0.97 (define @t38 () (or @t37 (tptp.left_convergent_lines @t7 @t34))) % 0.71/0.97 (define @t39 () (tptp.reverse_line @t7)) % 0.71/0.97 (define @t40 () (tptp.left_apart_point @t8 @t39)) % 0.71/0.97 (define @t41 () (tptp.point @t8)) % 0.71/0.97 (define @t42 () (@list @t8 @t15)) % 0.71/0.97 (define @t43 () (tptp.intersection_point @t7 @t12)) % 0.71/0.97 (define @t44 () (tptp.line @t7)) % 0.71/0.97 (define @t45 () (tptp.parallel_through_point @t7 @t8)) % 0.71/0.97 (define @t46 () (tptp.equally_directed_lines @t18 (tptp.reverse_line (tptp.line_connecting @t15 @t8)))) % 0.71/0.97 (define @t47 () (forall @t42 (=> @t19 @t46))) % 0.71/0.97 (define @t48 () (tptp.left_apart_point @t8 @t34)) % 0.71/0.97 (define @t49 () (forall @t21 (not (and @t20 @t22)))) % 0.71/0.97 (define @t50 () (not @t49)) % 0.71/0.97 (define @t51 () (forall @t21 (or (not @t20) (not @t22)))) % 0.71/0.97 (define @t52 () (@quantifiers_skolemize @t51 1)) % 0.71/0.97 (define @t53 () (@quantifiers_skolemize @t51 2)) % 0.71/0.97 (define @t54 () (tptp.line_connecting @t53 @t52)) % 0.71/0.97 (define @t55 () (tptp.equally_directed_lines @t54 @t54)) % 0.71/0.97 (define @t56 () (tptp.unequally_directed_lines @t54 @t54)) % 0.71/0.97 (define @t57 () (not @t56)) % 0.71/0.97 (define @t58 () (= @t55 @t57)) % 0.71/0.97 (define @t59 () (= @t57 @t55)) % 0.71/0.97 (define @t60 () (@list false)) % 0.71/0.97 (define @t61 () (@list @t6)) % 0.71/0.97 (define @t62 () (not @t13)) % 0.71/0.97 (define @t63 () (@quantifiers_skolemize @t51 0)) % 0.71/0.97 (define @t64 () (tptp.line_connecting @t52 @t53)) % 0.71/0.97 (define @t65 () (tptp.equally_directed_lines @t64 @t64)) % 0.71/0.97 (define @t66 () (tptp.unequally_directed_lines @t64 @t64)) % 0.71/0.97 (define @t67 () (not @t66)) % 0.71/0.97 (define @t68 () (= @t65 @t67)) % 0.71/0.97 (define @t69 () (= @t67 @t65)) % 0.71/0.97 (define @t70 () (@list false false)) % 0.71/0.97 (define @t71 () (tptp.before_on_line @t63 @t52 @t53)) % 0.71/0.97 (define @t72 () (tptp.before_on_line @t63 @t53 @t52)) % 0.71/0.97 (define @t73 () (not @t72)) % 0.71/0.97 (define @t74 () (not @t71)) % 0.71/0.97 (define @t75 () (or @t74 @t73)) % 0.71/0.97 (define @t76 () (@list true)) % 0.71/0.97 (define @t77 () (@list @t75)) % 0.71/0.97 (define @t78 () (tptp.equally_directed_lines @t63 @t64)) % 0.71/0.97 (define @t79 () (tptp.incident_point_and_line @t53 @t63)) % 0.71/0.97 (define @t80 () (tptp.incident_point_and_line @t52 @t63)) % 0.71/0.97 (define @t81 () (tptp.distinct_points @t52 @t53)) % 0.71/0.97 (define @t82 () (and @t81 @t80 @t79 @t78)) % 0.71/0.97 (define @t83 () (= @t71 @t82)) % 0.71/0.97 (define @t84 () (not @t82)) % 0.71/0.97 (define @t85 () (@list @t82)) % 0.71/0.97 (define @t86 () (tptp.unequally_directed_lines @t63 @t64)) % 0.71/0.97 (define @t87 () (not @t86)) % 0.71/0.97 (define @t88 () (= @t78 @t87)) % 0.71/0.97 (define @t89 () (tptp.unequally_directed_lines @t64 @t63)) % 0.71/0.97 (define @t90 () (not @t89)) % 0.71/0.97 (define @t91 () (or @t90 @t66 @t86)) % 0.71/0.97 (define @t92 () (tptp.reverse_line @t54)) % 0.71/0.97 (define @t93 () (tptp.equally_directed_lines @t64 @t92)) % 0.71/0.97 (define @t94 () (not @t81)) % 0.71/0.97 (define @t95 () (or @t94 @t93)) % 0.71/0.97 (define @t96 () (tptp.unequally_directed_lines @t64 @t92)) % 0.71/0.97 (define @t97 () (not @t96)) % 0.71/0.97 (define @t98 () (= @t93 @t97)) % 0.71/0.97 (define @t99 () (tptp.unequally_directed_lines @t64 @t54)) % 0.71/0.97 (define @t100 () (or @t99 @t96)) % 0.71/0.97 (define @t101 () (@list true false)) % 0.71/0.97 (define @t102 () (tptp.unequally_directed_lines @t54 @t63)) % 0.71/0.97 (define @t103 () (not @t99)) % 0.71/0.97 (define @t104 () (or @t103 @t89 @t102)) % 0.71/0.97 (define @t105 () (tptp.equally_directed_lines @t63 @t54)) % 0.71/0.97 (define @t106 () (and (tptp.distinct_points @t53 @t52) @t79 @t80 @t105)) % 0.71/0.97 (define @t107 () (= @t72 @t106)) % 0.71/0.97 (define @t108 () (tptp.unequally_directed_lines @t63 @t54)) % 0.71/0.97 (define @t109 () (not @t108)) % 0.71/0.97 (define @t110 () (= @t105 @t109)) % 0.71/0.97 (define @t111 () (not @t102)) % 0.71/0.97 (define @t112 () (or @t111 @t56 @t108)) % 0.71/0.97 (define @t113 () (not @t55)) % 0.71/0.97 (assume @p1 (forall @t5 (= @t4 (tptp.unequally_directed_lines @t3 @t2)))) % 0.71/0.97 (assume @p2 (forall @t5 (= (tptp.right_apart_point @t3 @t1) (tptp.left_apart_point @t3 @t2)))) % 0.71/0.97 (assume @p3 (forall @t5 (= (tptp.right_convergent_lines @t3 @t1) (tptp.left_convergent_lines @t3 @t2)))) % 0.71/0.97 (assume @p4 @t6) % 0.71/0.97 (assume @p5 (forall @t5 (= (tptp.equally_directed_opposite_lines @t3 @t1) (not @t4)))) % 0.71/0.97 (assume @p6 (forall @t11 (= (tptp.apart_point_and_line @t8 @t7) (or @t10 @t9)))) % 0.71/0.97 (assume @p7 (forall @t14 (= (tptp.convergent_lines @t7 @t12) (and @t13 (tptp.unequally_directed_opposite_lines @t7 @t12))))) % 0.71/0.97 (assume @p8 (forall @t17 (= (tptp.divides_points @t7 @t8 @t15) (or (and @t10 (tptp.right_apart_point @t15 @t7)) (and @t9 @t16))))) % 0.71/0.97 (assume @p9 (forall @t21 (= @t20 (and @t19 (tptp.incident_point_and_line @t8 @t7) (tptp.incident_point_and_line @t15 @t7) (tptp.equally_directed_lines @t7 @t18))))) % 0.71/0.97 (assume @p10 (forall (@list @t7 @t8 @t15 @t23) (= (tptp.between_on_line @t7 @t8 @t15 @t23) (or (and @t20 (tptp.before_on_line @t7 @t15 @t23)) (and (tptp.before_on_line @t7 @t23 @t15) @t22))))) % 0.71/0.97 (assume @p11 (forall (@list @t8) (not (tptp.distinct_points @t8 @t8)))) % 0.71/0.97 (assume @p12 (forall (@list @t8 @t15 @t23) (=> @t19 (or (tptp.distinct_points @t8 @t23) (tptp.distinct_points @t15 @t23))))) % 0.71/0.97 (assume @p13 (forall @t24 (not (tptp.distinct_lines @t7 @t7)))) % 0.71/0.97 (assume @p14 (forall @t27 (=> @t26 (or (tptp.distinct_lines @t7 @t25) (tptp.distinct_lines @t12 @t25))))) % 0.71/0.97 (assume @p15 @t28) % 0.71/0.97 (assume @p16 @t32) % 0.71/0.97 (assume @p17 (forall @t27 (=> @t36 (or (and @t30 (tptp.unequally_directed_lines @t7 @t33)) (and @t29 (tptp.unequally_directed_lines @t12 @t33)))))) % 0.71/0.97 (assume @p18 (forall @t14 (or @t13 @t35))) % 0.71/0.97 (assume @p19 (forall @t14 (=> @t36 @t38))) % 0.71/0.97 (assume @p20 (forall @t11 (not (or @t10 @t40)))) % 0.71/0.97 (assume @p21 (forall @t14 (not @t38))) % 0.71/0.97 (assume @p22 (forall @t42 (=> (and @t41 (tptp.point @t15) @t19) (tptp.line @t18)))) % 0.71/0.97 (assume @p23 (forall @t14 (=> (and @t44 (tptp.line @t12) @t13 @t35) (tptp.point @t43)))) % 0.71/0.97 (assume @p24 (forall (@list @t7 @t8) (=> (and @t41 @t44) (tptp.line @t45)))) % 0.71/0.97 (assume @p25 (forall @t24 (=> @t44 (tptp.line @t39)))) % 0.71/0.97 (assume @p26 (forall @t42 (=> @t19 (and (not (tptp.apart_point_and_line @t8 @t18)) (not (tptp.apart_point_and_line @t15 @t18)))))) % 0.71/0.97 (assume @p27 (forall @t14 (=> @t36 (and (not (tptp.apart_point_and_line @t43 @t7)) (not (tptp.apart_point_and_line @t43 @t12)))))) % 0.71/0.97 (assume @p28 (forall @t11 (not (tptp.apart_point_and_line @t8 @t45)))) % 0.71/0.97 (assume @p29 (forall @t24 (not (tptp.distinct_lines @t7 @t39)))) % 0.71/0.97 (assume @p30 @t47) % 0.71/0.97 (assume @p31 (forall @t11 (tptp.equally_directed_lines @t45 @t7))) % 0.71/0.97 (assume @p32 (forall (@list @t8 @t15 @t7 @t12) (=> (and @t19 @t26) (or @t10 @t16 (tptp.left_apart_point @t8 @t12) (tptp.left_apart_point @t15 @t12) @t40 (tptp.left_apart_point @t15 @t39) @t48 (tptp.left_apart_point @t15 @t34))))) % 0.71/0.97 (assume @p33 (forall @t17 (=> (and @t19 @t10) (or @t16 (tptp.left_convergent_lines @t18 @t7))))) % 0.71/0.97 (assume @p34 (forall @t17 (=> @t10 (or @t19 @t16)))) % 0.71/0.97 (assume @p35 (forall (@list @t8 @t7 @t12) (=> (and @t10 @t13) (or @t26 @t48)))) % 0.71/0.97 (assume @p36 (forall @t27 (=> @t37 (or @t29 (tptp.left_convergent_lines @t7 @t25))))) % 0.71/0.97 (assume @p37 @t50) % 0.71/0.97 (assume @p38 true) % 0.71/0.97 (step @p39 :rule eq-symm :args (@t55 @t57)) % 0.71/0.97 (step @p40 :rule refl :args (@t6)) % 0.71/0.97 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t6 @t58))) % 0.71/0.97 (assume-push @p146 @t6) % 0.71/0.97 (step @p43 :rule instantiate :premises (@p4) :args ((@list @t54 @t54))) % 0.71/0.97 (step-pop @p147 :rule scope :premises (@p43)) % 0.71/0.97 (step @p44 :rule process_scope :premises (@p147) :args (@t58)) % 0.71/0.97 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.71/0.97 (step @p47 :rule implies_elim :premises (@p46)) % 0.71/0.97 (step @p48 :rule chain_m_resolution :premises (@p47 @p4) :args (@t59 @t60 @t61)) % 0.71/0.97 (step @p49 :rule aci_norm :args ((= (or @t62 @t31) (or @t62 @t30 @t29)))) % 0.71/0.97 (step @p50 :rule bool-impl-elim :args (@t13 @t31)) % 0.71/0.97 (step @p51 :rule trans :premises (@p50 @p49)) % 0.71/0.97 (step @p52 :rule cong :premises (@p51) :args (@t32)) % 0.71/0.97 (step @p53 :rule eq_resolve :premises (@p16 @p52)) % 0.71/0.97 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t54 @t63 @t54))) % 0.71/0.97 (step @p55 :rule instantiate :premises (@p53) :args ((@list @t64 @t54 @t63))) % 0.71/0.97 (step @p56 :rule instantiate :premises (@p53) :args ((@list @t64 @t63 @t64))) % 0.71/0.97 (step @p57 :rule eq-symm :args (@t65 @t67)) % 0.71/0.97 (step @p58 :rule cong :premises (@p40 @p57) :args ((=> @t6 @t68))) % 0.71/0.97 (assume-push @p148 @t6) % 0.71/0.97 (step @p60 :rule instantiate :premises (@p4) :args ((@list @t64 @t64))) % 0.71/0.97 (step-pop @p149 :rule scope :premises (@p60)) % 0.71/0.97 (step @p61 :rule process_scope :premises (@p149) :args (@t68)) % 0.71/0.97 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.71/0.97 (step @p64 :rule implies_elim :premises (@p63)) % 0.71/0.97 (step @p65 :rule chain_m_resolution :premises (@p64 @p4) :args (@t69 @t60 @t61)) % 0.71/0.97 (step @p66 :rule instantiate :premises (@p15) :args ((@list @t64))) % 0.71/0.97 (step @p67 :rule cnf_equiv_pos2 :args (@t69)) % 0.71/0.97 (step @p68 :rule reordering :premises (@p67) :args ((or @t67 (not @t65) (not @t69)))) % 0.71/0.97 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p65) :args (@t67 @t70 (@list @t65 @t69))) % 0.71/0.97 (step @p70 :rule instantiate :premises (@p4) :args ((@list @t63 @t64))) % 0.71/0.97 (step @p71 :rule instantiate :premises (@p9) :args ((@list @t63 @t52 @t53))) % 0.71/0.97 (step @p72 :rule bool-and-de-morgan :args (@t20 @t22 true)) % 0.71/0.97 (step @p73 :rule cong :premises (@p72) :args (@t49)) % 0.71/0.97 (step @p74 :rule cong :premises (@p73) :args (@t50)) % 0.71/0.97 (step @p75 :rule eq_resolve :premises (@p37 @p74)) % 0.71/0.97 (step @p76 :rule skolemize :premises (@p75)) % 0.71/0.97 (step @p77 :rule bool-double-not-elim :args (@t71)) % 0.71/0.97 (step @p78 :rule refl :args (@t75)) % 0.71/0.97 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t75 (not @t74)))) % 0.71/0.97 (step @p80 :rule cnf_or_neg :args (@t75 0)) % 0.71/0.97 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.71/0.97 (step @p82 :rule reordering :premises (@p81) :args ((or @t71 @t75))) % 0.71/0.97 (step @p83 :rule chain_m_resolution :premises (@p82 @p76) :args (@t71 @t76 @t77)) % 0.71/0.97 (step @p84 :rule cnf_equiv_pos1 :args (@t83)) % 0.71/0.97 (step @p85 :rule reordering :premises (@p84) :args ((or @t74 @t82 (not @t83)))) % 0.71/0.97 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p71) :args (@t82 @t70 (@list @t71 @t83))) % 0.71/0.97 (step @p87 :rule cnf_and_pos :args (@t82 3)) % 0.71/0.97 (step @p88 :rule reordering :premises (@p87) :args ((or @t78 @t84))) % 0.71/0.97 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t78 @t60 @t85)) % 0.71/0.97 (step @p90 :rule cnf_equiv_pos1 :args (@t88)) % 0.71/0.97 (step @p91 :rule reordering :premises (@p90) :args ((or (not @t78) @t87 (not @t88)))) % 0.71/0.97 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p70) :args (@t87 @t70 (@list @t78 @t88))) % 0.71/0.97 (step @p93 :rule cnf_or_pos :args (@t91)) % 0.71/0.97 (step @p94 :rule reordering :premises (@p93) :args ((or @t86 @t66 @t90 (not @t91)))) % 0.71/0.97 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p69 @p56) :args (@t90 (@list true true false) (@list @t86 @t66 @t91))) % 0.71/0.97 (step @p96 :rule instantiate :premises (@p18) :args ((@list @t64 @t54))) % 0.71/0.97 (step @p97 :rule instantiate :premises (@p4) :args ((@list @t64 @t92))) % 0.71/0.97 (step @p98 :rule bool-impl-elim :args (@t19 @t46)) % 0.71/0.97 (step @p99 :rule cong :premises (@p98) :args (@t47)) % 0.71/0.97 (step @p100 :rule eq_resolve :premises (@p30 @p99)) % 0.71/0.97 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t52 @t53))) % 0.71/0.97 (step @p102 :rule cnf_and_pos :args (@t82 0)) % 0.71/0.97 (step @p103 :rule reordering :premises (@p102) :args ((or @t81 @t84))) % 0.71/0.97 (step @p104 :rule chain_m_resolution :premises (@p103 @p86) :args (@t81 @t60 @t85)) % 0.71/0.97 (step @p105 :rule cnf_or_pos :args (@t95)) % 0.71/0.97 (step @p106 :rule reordering :premises (@p105) :args ((or @t94 @t93 (not @t95)))) % 0.71/0.97 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p101) :args (@t93 @t70 (@list @t81 @t95))) % 0.71/0.97 (step @p108 :rule cnf_equiv_pos1 :args (@t98)) % 0.71/0.97 (step @p109 :rule reordering :premises (@p108) :args ((or (not @t93) @t97 (not @t98)))) % 0.71/0.97 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p97) :args (@t97 @t70 (@list @t93 @t98))) % 0.71/0.97 (step @p111 :rule cnf_or_pos :args (@t100)) % 0.71/0.97 (step @p112 :rule reordering :premises (@p111) :args ((or @t96 @t99 (not @t100)))) % 0.71/0.97 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p96) :args (@t99 @t101 (@list @t96 @t100))) % 0.71/0.97 (step @p114 :rule cnf_or_pos :args (@t104)) % 0.71/0.97 (step @p115 :rule reordering :premises (@p114) :args ((or @t103 @t89 @t102 (not @t104)))) % 0.71/0.97 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p95 @p55) :args (@t102 (@list false true false) (@list @t99 @t89 @t104))) % 0.71/0.97 (step @p117 :rule instantiate :premises (@p4) :args ((@list @t63 @t54))) % 0.71/0.97 (step @p118 :rule instantiate :premises (@p9) :args ((@list @t63 @t53 @t52))) % 0.71/0.97 (step @p119 :rule bool-double-not-elim :args (@t72)) % 0.71/0.97 (step @p120 :rule nary_cong :premises (@p78 @p119) :args ((or @t75 (not @t73)))) % 0.71/0.97 (step @p121 :rule cnf_or_neg :args (@t75 1)) % 0.71/0.97 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 0.71/0.97 (step @p123 :rule reordering :premises (@p122) :args ((or @t72 @t75))) % 0.71/0.97 (step @p124 :rule chain_m_resolution :premises (@p123 @p76) :args (@t72 @t76 @t77)) % 0.71/0.97 (step @p125 :rule cnf_equiv_pos1 :args (@t107)) % 0.71/0.97 (step @p126 :rule reordering :premises (@p125) :args ((or @t73 @t106 (not @t107)))) % 0.71/0.97 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p118) :args (@t106 @t70 (@list @t72 @t107))) % 0.71/0.97 (step @p128 :rule cnf_and_pos :args (@t106 3)) % 0.71/0.97 (step @p129 :rule reordering :premises (@p128) :args ((or @t105 (not @t106)))) % 0.71/0.97 (step @p130 :rule chain_m_resolution :premises (@p129 @p127) :args (@t105 @t60 (@list @t106))) % 0.71/0.97 (step @p131 :rule cnf_equiv_pos1 :args (@t110)) % 0.71/0.97 (step @p132 :rule reordering :premises (@p131) :args ((or (not @t105) @t109 (not @t110)))) % 0.71/0.97 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p117) :args (@t109 @t70 (@list @t105 @t110))) % 0.71/0.97 (step @p134 :rule cnf_or_pos :args (@t112)) % 0.71/0.97 (step @p135 :rule reordering :premises (@p134) :args ((or @t108 @t56 @t111 (not @t112)))) % 0.71/0.98 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p116 @p54) :args (@t56 (@list true false false) (@list @t108 @t102 @t112))) % 0.71/0.98 (step @p137 :rule cnf_equiv_pos2 :args (@t59)) % 0.71/0.98 (step @p138 :rule reordering :premises (@p137) :args ((or @t57 @t113 (not @t59)))) % 0.71/0.98 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p48) :args (@t113 @t70 (@list @t56 @t59))) % 0.71/0.98 (assume-push @p150 @t28) % 0.71/0.98 (step @p141 :rule instantiate :premises (@p15) :args ((@list @t54))) % 0.71/0.98 (step-pop @p151 :rule scope :premises (@p141)) % 0.71/0.98 (step @p142 :rule process_scope :premises (@p151) :args (@t55)) % 0.71/0.98 (step @p144 :rule implies_elim :premises (@p142)) % 0.71/0.98 (step @p145 false :rule chain_m_resolution :premises (@p144 @p139 @p15) :args (false @t101 (@list @t55 @t28))) % 0.71/0.98 ) % 0.71/0.98 % SZS output end Proof % 0.71/0.98 % cvc5 exiting %------------------------------------------------------------------------------