%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO234+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 : n021.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 08:16:52 AM UTC 2026 % Result : Theorem 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEO234+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n021.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 23:42:19 EDT 2026 % 0.16/0.33 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.point (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.right_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.right_apart_point (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.equally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.equally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.line (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.unequally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.65 (define @t2 () (tptp.reverse_line @t1)) % 0.45/0.65 (define @t3 () (@var "X" $$unsorted)) % 0.45/0.65 (define @t4 () (tptp.unequally_directed_opposite_lines @t3 @t1)) % 0.45/0.65 (define @t5 () (@list @t3 @t1)) % 0.45/0.65 (define @t6 () (@var "L" $$unsorted)) % 0.45/0.65 (define @t7 () (@var "A" $$unsorted)) % 0.45/0.65 (define @t8 () (tptp.right_apart_point @t7 @t6)) % 0.45/0.65 (define @t9 () (tptp.left_apart_point @t7 @t6)) % 0.45/0.65 (define @t10 () (@list @t7 @t6)) % 0.45/0.65 (define @t11 () (@var "M" $$unsorted)) % 0.45/0.65 (define @t12 () (tptp.unequally_directed_opposite_lines @t6 @t11)) % 0.45/0.65 (define @t13 () (tptp.unequally_directed_lines @t6 @t11)) % 0.45/0.65 (define @t14 () (@list @t6 @t11)) % 0.45/0.65 (define @t15 () (@var "B" $$unsorted)) % 0.45/0.65 (define @t16 () (tptp.left_apart_point @t15 @t6)) % 0.45/0.65 (define @t17 () (@list @t7 @t15 @t6)) % 0.45/0.65 (define @t18 () (tptp.line_connecting @t7 @t15)) % 0.45/0.65 (define @t19 () (tptp.distinct_points @t7 @t15)) % 0.45/0.65 (define @t20 () (tptp.before_on_line @t6 @t7 @t15)) % 0.45/0.65 (define @t21 () (@var "C" $$unsorted)) % 0.45/0.65 (define @t22 () (@list @t6)) % 0.45/0.65 (define @t23 () (@var "N" $$unsorted)) % 0.45/0.65 (define @t24 () (tptp.distinct_lines @t6 @t11)) % 0.45/0.65 (define @t25 () (@list @t6 @t11 @t23)) % 0.45/0.65 (define @t26 () (tptp.unequally_directed_lines @t11 @t23)) % 0.45/0.65 (define @t27 () (tptp.unequally_directed_lines @t6 @t23)) % 0.45/0.65 (define @t28 () (or @t27 @t26)) % 0.45/0.65 (define @t29 () (forall @t25 (=> @t13 @t28))) % 0.45/0.65 (define @t30 () (tptp.reverse_line @t23)) % 0.45/0.65 (define @t31 () (and @t26 (tptp.unequally_directed_lines @t11 @t30))) % 0.45/0.65 (define @t32 () (and @t27 (tptp.unequally_directed_lines @t6 @t30))) % 0.45/0.65 (define @t33 () (or @t32 @t31)) % 0.45/0.65 (define @t34 () (tptp.reverse_line @t11)) % 0.45/0.65 (define @t35 () (tptp.unequally_directed_lines @t6 @t34)) % 0.45/0.65 (define @t36 () (and @t13 @t35)) % 0.45/0.65 (define @t37 () (forall @t25 (=> @t36 @t33))) % 0.45/0.65 (define @t38 () (tptp.left_convergent_lines @t6 @t34)) % 0.45/0.65 (define @t39 () (tptp.left_convergent_lines @t6 @t11)) % 0.45/0.65 (define @t40 () (or @t39 @t38)) % 0.45/0.65 (define @t41 () (forall @t14 (=> @t36 @t40))) % 0.45/0.65 (define @t42 () (tptp.reverse_line @t6)) % 0.45/0.65 (define @t43 () (tptp.left_apart_point @t7 @t42)) % 0.45/0.65 (define @t44 () (forall @t14 (not @t40))) % 0.45/0.65 (define @t45 () (tptp.point @t7)) % 0.45/0.65 (define @t46 () (@list @t7 @t15)) % 0.45/0.65 (define @t47 () (tptp.intersection_point @t6 @t11)) % 0.45/0.65 (define @t48 () (tptp.line @t6)) % 0.45/0.65 (define @t49 () (tptp.parallel_through_point @t6 @t7)) % 0.45/0.65 (define @t50 () (tptp.left_apart_point @t7 @t34)) % 0.45/0.65 (define @t51 () (tptp.unequally_directed_opposite_lines @t11 @t23)) % 0.45/0.65 (define @t52 () (or @t27 @t51)) % 0.45/0.65 (define @t53 () (forall @t25 (=> @t12 @t52))) % 0.45/0.65 (define @t54 () (not @t53)) % 0.45/0.65 (define @t55 () (not @t35)) % 0.45/0.65 (define @t56 () (not @t13)) % 0.45/0.65 (define @t57 () (or @t56 @t55 @t32 @t31)) % 0.45/0.65 (define @t58 () (or @t56 @t55)) % 0.45/0.65 (define @t59 () (not @t36)) % 0.45/0.65 (define @t60 () (not @t12)) % 0.45/0.65 (define @t61 () (or @t60 @t27 @t51)) % 0.45/0.65 (define @t62 () (forall @t25 @t61)) % 0.45/0.65 (define @t63 () (@quantifiers_skolemize @t62 2)) % 0.45/0.65 (define @t64 () (@quantifiers_skolemize @t62 1)) % 0.45/0.65 (define @t65 () (tptp.unequally_directed_opposite_lines @t64 @t63)) % 0.45/0.65 (define @t66 () (@quantifiers_skolemize @t62 0)) % 0.45/0.65 (define @t67 () (tptp.unequally_directed_lines @t66 @t63)) % 0.45/0.65 (define @t68 () (tptp.unequally_directed_opposite_lines @t66 @t64)) % 0.45/0.65 (define @t69 () (not @t68)) % 0.45/0.65 (define @t70 () (or @t69 @t67 @t65)) % 0.45/0.65 (define @t71 () (@list true)) % 0.45/0.65 (define @t72 () (@list @t70)) % 0.45/0.65 (define @t73 () (tptp.reverse_line @t63)) % 0.45/0.65 (define @t74 () (tptp.unequally_directed_lines @t64 @t73)) % 0.45/0.65 (define @t75 () (= @t65 @t74)) % 0.45/0.65 (define @t76 () (not @t74)) % 0.45/0.65 (define @t77 () (@list true false)) % 0.45/0.65 (define @t78 () (and (tptp.unequally_directed_lines @t64 @t63) @t74)) % 0.45/0.65 (define @t79 () (not @t78)) % 0.45/0.65 (define @t80 () (and @t67 (tptp.unequally_directed_lines @t66 @t73))) % 0.45/0.65 (define @t81 () (not @t80)) % 0.45/0.65 (define @t82 () (tptp.reverse_line @t64)) % 0.45/0.65 (define @t83 () (@list @t82 @t63)) % 0.45/0.65 (define @t84 () (not @t38)) % 0.45/0.65 (define @t85 () (forall @t14 @t84)) % 0.45/0.65 (define @t86 () (@list @t6 @t11)) % 0.45/0.65 (define @t87 () (not @t39)) % 0.45/0.65 (define @t88 () (forall @t14 @t87)) % 0.45/0.65 (define @t89 () (and @t88 @t85)) % 0.45/0.65 (define @t90 () (tptp.unequally_directed_lines @t66 @t82)) % 0.45/0.65 (define @t91 () (= @t68 @t90)) % 0.45/0.65 (define @t92 () (tptp.unequally_directed_lines @t82 @t63)) % 0.45/0.65 (define @t93 () (not @t90)) % 0.45/0.65 (define @t94 () (or @t93 @t67 @t92)) % 0.45/0.65 (define @t95 () (tptp.left_convergent_lines @t82 @t73)) % 0.45/0.65 (define @t96 () (tptp.left_convergent_lines @t82 @t63)) % 0.45/0.65 (define @t97 () (tptp.unequally_directed_lines @t82 @t73)) % 0.45/0.65 (define @t98 () (not @t97)) % 0.45/0.65 (define @t99 () (not @t92)) % 0.45/0.65 (define @t100 () (or @t99 @t98 @t96 @t95)) % 0.45/0.65 (define @t101 () (tptp.unequally_directed_lines @t82 @t64)) % 0.45/0.65 (define @t102 () (not @t101)) % 0.45/0.65 (define @t103 () (or @t102 @t97 @t74)) % 0.45/0.65 (define @t104 () (tptp.unequally_directed_lines @t66 @t64)) % 0.45/0.65 (define @t105 () (or @t93 @t104 @t101)) % 0.45/0.65 (define @t106 () (not @t104)) % 0.45/0.65 (define @t107 () (or @t106 @t93 @t80 @t78)) % 0.45/0.65 (define @t108 () (not @t107)) % 0.45/0.65 (define @t109 () (forall @t25 @t57)) % 0.45/0.65 (assume @p1 (forall @t5 (= @t4 (tptp.unequally_directed_lines @t3 @t2)))) % 0.45/0.65 (assume @p2 (forall @t5 (= (tptp.right_apart_point @t3 @t1) (tptp.left_apart_point @t3 @t2)))) % 0.45/0.65 (assume @p3 (forall @t5 (= (tptp.right_convergent_lines @t3 @t1) (tptp.left_convergent_lines @t3 @t2)))) % 0.45/0.65 (assume @p4 (forall @t5 (= (tptp.equally_directed_lines @t3 @t1) (not (tptp.unequally_directed_lines @t3 @t1))))) % 0.45/0.65 (assume @p5 (forall @t5 (= (tptp.equally_directed_opposite_lines @t3 @t1) (not @t4)))) % 0.45/0.65 (assume @p6 (forall @t10 (= (tptp.apart_point_and_line @t7 @t6) (or @t9 @t8)))) % 0.45/0.65 (assume @p7 (forall @t14 (= (tptp.convergent_lines @t6 @t11) (and @t13 @t12)))) % 0.45/0.65 (assume @p8 (forall @t17 (= (tptp.divides_points @t6 @t7 @t15) (or (and @t9 (tptp.right_apart_point @t15 @t6)) (and @t8 @t16))))) % 0.45/0.65 (assume @p9 (forall (@list @t6 @t7 @t15) (= @t20 (and @t19 (tptp.incident_point_and_line @t7 @t6) (tptp.incident_point_and_line @t15 @t6) (tptp.equally_directed_lines @t6 @t18))))) % 0.45/0.65 (assume @p10 (forall (@list @t6 @t7 @t15 @t21) (= (tptp.between_on_line @t6 @t7 @t15 @t21) (or (and @t20 (tptp.before_on_line @t6 @t15 @t21)) (and (tptp.before_on_line @t6 @t21 @t15) (tptp.before_on_line @t6 @t15 @t7)))))) % 0.45/0.65 (assume @p11 (forall (@list @t7) (not (tptp.distinct_points @t7 @t7)))) % 0.45/0.65 (assume @p12 (forall (@list @t7 @t15 @t21) (=> @t19 (or (tptp.distinct_points @t7 @t21) (tptp.distinct_points @t15 @t21))))) % 0.45/0.65 (assume @p13 (forall @t22 (not (tptp.distinct_lines @t6 @t6)))) % 0.45/0.65 (assume @p14 (forall @t25 (=> @t24 (or (tptp.distinct_lines @t6 @t23) (tptp.distinct_lines @t11 @t23))))) % 0.45/0.65 (assume @p15 (forall @t22 (tptp.equally_directed_lines @t6 @t6))) % 0.45/0.65 (assume @p16 @t29) % 0.45/0.65 (assume @p17 @t37) % 0.45/0.65 (assume @p18 (forall @t14 (or @t13 @t35))) % 0.45/0.65 (assume @p19 @t41) % 0.45/0.65 (assume @p20 (forall @t10 (not (or @t9 @t43)))) % 0.45/0.65 (assume @p21 @t44) % 0.45/0.65 (assume @p22 (forall @t46 (=> (and @t45 (tptp.point @t15) @t19) (tptp.line @t18)))) % 0.45/0.65 (assume @p23 (forall @t14 (=> (and @t48 (tptp.line @t11) @t13 @t35) (tptp.point @t47)))) % 0.45/0.65 (assume @p24 (forall (@list @t6 @t7) (=> (and @t45 @t48) (tptp.line @t49)))) % 0.45/0.65 (assume @p25 (forall @t22 (=> @t48 (tptp.line @t42)))) % 0.45/0.65 (assume @p26 (forall @t46 (=> @t19 (and (not (tptp.apart_point_and_line @t7 @t18)) (not (tptp.apart_point_and_line @t15 @t18)))))) % 0.45/0.65 (assume @p27 (forall @t14 (=> @t36 (and (not (tptp.apart_point_and_line @t47 @t6)) (not (tptp.apart_point_and_line @t47 @t11)))))) % 0.45/0.65 (assume @p28 (forall @t10 (not (tptp.apart_point_and_line @t7 @t49)))) % 0.45/0.65 (assume @p29 (forall @t22 (not (tptp.distinct_lines @t6 @t42)))) % 0.45/0.65 (assume @p30 (forall @t46 (=> @t19 (tptp.equally_directed_lines @t18 (tptp.reverse_line (tptp.line_connecting @t15 @t7)))))) % 0.45/0.65 (assume @p31 (forall @t10 (tptp.equally_directed_lines @t49 @t6))) % 0.45/0.65 (assume @p32 (forall (@list @t7 @t15 @t6 @t11) (=> (and @t19 @t24) (or @t9 @t16 (tptp.left_apart_point @t7 @t11) (tptp.left_apart_point @t15 @t11) @t43 (tptp.left_apart_point @t15 @t42) @t50 (tptp.left_apart_point @t15 @t34))))) % 0.45/0.65 (assume @p33 (forall @t17 (=> (and @t19 @t9) (or @t16 (tptp.left_convergent_lines @t18 @t6))))) % 0.45/0.65 (assume @p34 (forall @t17 (=> @t9 (or @t19 @t16)))) % 0.45/0.65 (assume @p35 (forall (@list @t7 @t6 @t11) (=> (and @t9 @t13) (or @t24 @t50)))) % 0.45/0.65 (assume @p36 (forall @t25 (=> @t39 (or @t26 (tptp.left_convergent_lines @t6 @t23))))) % 0.45/0.65 (assume @p37 @t54) % 0.45/0.65 (assume @p38 true) % 0.45/0.65 (step @p39 :rule aci_norm :args ((= (or @t58 @t33) @t57))) % 0.45/0.65 (step @p40 :rule refl :args (@t33)) % 0.45/0.65 (step @p41 :rule bool-and-de-morgan :args (@t13 @t35 true)) % 0.45/0.65 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t59 @t33))) % 0.45/0.65 (step @p43 :rule trans :premises (@p42 @p39)) % 0.45/0.65 (step @p44 :rule bool-impl-elim :args (@t36 @t33)) % 0.45/0.65 (step @p45 :rule trans :premises (@p44 @p43)) % 0.45/0.65 (step @p46 :rule cong :premises (@p45) :args (@t37)) % 0.45/0.65 (step @p47 :rule eq_resolve :premises (@p17 @p46)) % 0.45/0.65 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t64 @t63))) % 0.45/0.65 (step @p49 :rule aci_norm :args ((= (or @t60 @t52) @t61))) % 0.45/0.65 (step @p50 :rule bool-impl-elim :args (@t12 @t52)) % 0.45/0.65 (step @p51 :rule trans :premises (@p50 @p49)) % 0.45/0.65 (step @p52 :rule cong :premises (@p51) :args (@t53)) % 0.45/0.65 (step @p53 :rule cong :premises (@p52) :args (@t54)) % 0.45/0.65 (step @p54 :rule eq_resolve :premises (@p37 @p53)) % 0.45/0.65 (step @p55 :rule skolemize :premises (@p54)) % 0.45/0.65 (step @p56 :rule cnf_or_neg :args (@t70 2)) % 0.45/0.65 (step @p57 :rule chain_m_resolution :premises (@p56 @p55) :args ((not @t65) @t71 @t72)) % 0.45/0.65 (step @p58 :rule cnf_equiv_pos2 :args (@t75)) % 0.45/0.65 (step @p59 :rule reordering :premises (@p58) :args ((or @t65 @t76 (not @t75)))) % 0.45/0.65 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p48) :args (@t76 @t77 (@list @t65 @t75))) % 0.45/0.65 (step @p61 :rule cnf_and_pos :args (@t78 1)) % 0.45/0.65 (step @p62 :rule reordering :premises (@p61) :args ((or @t74 @t79))) % 0.45/0.65 (step @p63 :rule chain_m_resolution :premises (@p62 @p60) :args (@t79 @t71 (@list @t74))) % 0.45/0.65 (step @p64 :rule cnf_or_neg :args (@t70 1)) % 0.45/0.65 (step @p65 :rule chain_m_resolution :premises (@p64 @p55) :args ((not @t67) @t71 @t72)) % 0.45/0.65 (step @p66 :rule cnf_and_pos :args (@t80 0)) % 0.45/0.65 (step @p67 :rule reordering :premises (@p66) :args ((or @t67 @t81))) % 0.45/0.65 (step @p68 :rule chain_m_resolution :premises (@p67 @p65) :args (@t81 @t71 (@list @t67))) % 0.45/0.65 (step @p69 :rule aci_norm :args ((= (or @t56 @t28) (or @t56 @t27 @t26)))) % 0.45/0.65 (step @p70 :rule bool-impl-elim :args (@t13 @t28)) % 0.45/0.65 (step @p71 :rule trans :premises (@p70 @p69)) % 0.45/0.65 (step @p72 :rule cong :premises (@p71) :args (@t29)) % 0.45/0.65 (step @p73 :rule eq_resolve :premises (@p16 @p72)) % 0.45/0.65 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t66 @t82 @t64))) % 0.45/0.65 (step @p75 :rule instantiate :premises (@p73) :args ((@list @t82 @t64 @t73))) % 0.45/0.65 (step @p76 :rule aci_norm :args ((= (or @t58 @t40) (or @t56 @t55 @t39 @t38)))) % 0.45/0.65 (step @p77 :rule refl :args (@t40)) % 0.45/0.65 (step @p78 :rule nary_cong :premises (@p41 @p77) :args ((or @t59 @t40))) % 0.45/0.65 (step @p79 :rule trans :premises (@p78 @p76)) % 0.45/0.65 (step @p80 :rule bool-impl-elim :args (@t36 @t40)) % 0.45/0.65 (step @p81 :rule trans :premises (@p80 @p79)) % 0.45/0.65 (step @p82 :rule cong :premises (@p81) :args (@t41)) % 0.45/0.65 (step @p83 :rule eq_resolve :premises (@p19 @p82)) % 0.45/0.65 (step @p84 :rule instantiate :premises (@p83) :args (@t83)) % 0.45/0.65 (step @p85 :rule alpha_equiv :args (@t85 @t86 (@list (@var "BOUND_VARIABLE_7700" $$unsorted) (@var "BOUND_VARIABLE_7702" $$unsorted)))) % 0.45/0.65 (step @p86 :rule alpha_equiv :args (@t88 @t86 (@list (@var "BOUND_VARIABLE_7692" $$unsorted) (@var "BOUND_VARIABLE_7694" $$unsorted)))) % 0.45/0.65 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t89)) % 0.45/0.65 (step @p88 :rule quant-miniscope-and :args ((= (forall @t14 (and @t87 @t84)) @t89))) % 0.45/0.65 (step @p89 :rule trans :premises (@p88 @p87)) % 0.45/0.65 (step @p90 :rule bool-or-de-morgan :args (@t39 @t38 false)) % 0.45/0.65 (step @p91 :rule cong :premises (@p90) :args (@t44)) % 0.45/0.65 (step @p92 :rule trans :premises (@p91 @p89)) % 0.45/0.65 (step @p93 :rule eq_resolve :premises (@p21 @p92)) % 0.45/0.65 (step @p94 :rule and_elim :premises (@p93) :args (0)) % 0.45/0.65 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t82 @t73))) % 0.45/0.65 (step @p96 :rule instantiate :premises (@p94) :args (@t83)) % 0.45/0.65 (step @p97 :rule instantiate :premises (@p73) :args ((@list @t66 @t82 @t63))) % 0.45/0.65 (step @p98 :rule instantiate :premises (@p1) :args ((@list @t66 @t64))) % 0.45/0.65 (step @p99 :rule bool-double-not-elim :args (@t68)) % 0.45/0.65 (step @p100 :rule refl :args (@t70)) % 0.45/0.65 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t70 (not @t69)))) % 0.45/0.65 (step @p102 :rule cnf_or_neg :args (@t70 0)) % 0.45/0.65 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.45/0.65 (step @p104 :rule reordering :premises (@p103) :args ((or @t68 @t70))) % 0.45/0.65 (step @p105 :rule chain_m_resolution :premises (@p104 @p55) :args (@t68 @t71 @t72)) % 0.45/0.65 (step @p106 :rule cnf_equiv_pos1 :args (@t91)) % 0.45/0.65 (step @p107 :rule reordering :premises (@p106) :args ((or @t69 @t90 (not @t91)))) % 0.45/0.65 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p98) :args (@t90 (@list false false) (@list @t68 @t91))) % 0.45/0.65 (step @p109 :rule cnf_or_pos :args (@t94)) % 0.45/0.65 (step @p110 :rule reordering :premises (@p109) :args ((or @t67 @t93 @t92 (not @t94)))) % 0.45/0.65 (step @p111 :rule chain_m_resolution :premises (@p110 @p65 @p108 @p97) :args (@t92 (@list true false false) (@list @t67 @t90 @t94))) % 0.45/0.65 (step @p112 :rule cnf_or_pos :args (@t100)) % 0.45/0.65 (step @p113 :rule reordering :premises (@p112) :args ((or @t99 @t98 @t96 @t95 (not @t100)))) % 0.45/0.65 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p96 @p95 @p84) :args (@t98 (@list false true true false) (@list @t92 @t96 @t95 @t100))) % 0.45/0.65 (step @p115 :rule cnf_or_pos :args (@t103)) % 0.45/0.65 (step @p116 :rule reordering :premises (@p115) :args ((or @t74 @t102 @t97 (not @t103)))) % 0.45/0.65 (step @p117 :rule chain_m_resolution :premises (@p116 @p60 @p114 @p75) :args (@t102 (@list true true false) (@list @t74 @t97 @t103))) % 0.45/0.65 (step @p118 :rule cnf_or_pos :args (@t105)) % 0.45/0.65 (step @p119 :rule reordering :premises (@p118) :args ((or @t104 @t93 @t101 (not @t105)))) % 0.45/0.65 (step @p120 :rule chain_m_resolution :premises (@p119 @p108 @p117 @p74) :args (@t104 (@list false true false) (@list @t90 @t101 @t105))) % 0.45/0.65 (step @p121 :rule cnf_or_pos :args (@t107)) % 0.45/0.65 (step @p122 :rule reordering :premises (@p121) :args ((or @t93 @t106 @t80 @t78 @t108))) % 0.45/0.65 (step @p123 :rule chain_m_resolution :premises (@p122 @p108 @p120 @p68 @p63) :args (@t108 (@list false false true true) (@list @t90 @t104 @t80 @t78))) % 0.45/0.65 (assume-push @p130 @t109) % 0.45/0.65 (step @p125 :rule instantiate :premises (@p47) :args ((@list @t66 @t64 @t63))) % 0.45/0.65 (step-pop @p131 :rule scope :premises (@p125)) % 0.45/0.65 (step @p126 :rule process_scope :premises (@p131) :args (@t107)) % 0.45/0.65 (step @p128 :rule implies_elim :premises (@p126)) % 0.45/0.65 (step @p129 false :rule chain_m_resolution :premises (@p128 @p123 @p47) :args (false @t77 (@list @t107 @t109))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------