%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO231+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 : n022.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 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO231+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 % 0.17/0.34 % Computer : n022.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 23:41:08 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.63 % SZS status Theorem % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.point (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.before_on_line (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.reverse_line (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.unequally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.right_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.left_apart_point (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.right_apart_point (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.left_convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.between_on_line (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.equally_directed_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.equally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.line (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.unequally_directed_opposite_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.divides_points (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.46/0.63 (define @t2 () (tptp.reverse_line @t1)) % 0.46/0.63 (define @t3 () (@var "X" $$unsorted)) % 0.46/0.63 (define @t4 () (tptp.unequally_directed_opposite_lines @t3 @t1)) % 0.46/0.63 (define @t5 () (@list @t3 @t1)) % 0.46/0.63 (define @t6 () (@var "L" $$unsorted)) % 0.46/0.63 (define @t7 () (@var "A" $$unsorted)) % 0.46/0.63 (define @t8 () (tptp.right_apart_point @t7 @t6)) % 0.46/0.63 (define @t9 () (tptp.left_apart_point @t7 @t6)) % 0.46/0.63 (define @t10 () (@list @t7 @t6)) % 0.46/0.63 (define @t11 () (@var "M" $$unsorted)) % 0.46/0.63 (define @t12 () (tptp.unequally_directed_lines @t6 @t11)) % 0.46/0.63 (define @t13 () (@list @t6 @t11)) % 0.46/0.63 (define @t14 () (@var "B" $$unsorted)) % 0.46/0.63 (define @t15 () (tptp.left_apart_point @t14 @t6)) % 0.46/0.63 (define @t16 () (@list @t7 @t14 @t6)) % 0.46/0.63 (define @t17 () (tptp.line_connecting @t7 @t14)) % 0.46/0.63 (define @t18 () (tptp.distinct_points @t7 @t14)) % 0.46/0.63 (define @t19 () (tptp.before_on_line @t6 @t7 @t14)) % 0.46/0.63 (define @t20 () (@var "C" $$unsorted)) % 0.46/0.63 (define @t21 () (@list @t6)) % 0.46/0.63 (define @t22 () (@var "N" $$unsorted)) % 0.46/0.63 (define @t23 () (tptp.distinct_lines @t6 @t11)) % 0.46/0.63 (define @t24 () (@list @t6 @t11 @t22)) % 0.46/0.63 (define @t25 () (tptp.unequally_directed_lines @t11 @t22)) % 0.46/0.63 (define @t26 () (tptp.unequally_directed_lines @t6 @t22)) % 0.46/0.63 (define @t27 () (or @t26 @t25)) % 0.46/0.63 (define @t28 () (forall @t24 (=> @t12 @t27))) % 0.46/0.63 (define @t29 () (tptp.reverse_line @t22)) % 0.46/0.63 (define @t30 () (tptp.reverse_line @t11)) % 0.46/0.63 (define @t31 () (tptp.unequally_directed_lines @t6 @t30)) % 0.46/0.63 (define @t32 () (and @t12 @t31)) % 0.46/0.63 (define @t33 () (tptp.left_convergent_lines @t6 @t30)) % 0.46/0.63 (define @t34 () (tptp.left_convergent_lines @t6 @t11)) % 0.46/0.63 (define @t35 () (or @t34 @t33)) % 0.46/0.63 (define @t36 () (forall @t13 (=> @t32 @t35))) % 0.46/0.63 (define @t37 () (tptp.reverse_line @t6)) % 0.46/0.63 (define @t38 () (tptp.left_apart_point @t7 @t37)) % 0.46/0.63 (define @t39 () (forall @t13 (not @t35))) % 0.46/0.63 (define @t40 () (tptp.point @t7)) % 0.46/0.63 (define @t41 () (@list @t7 @t14)) % 0.46/0.63 (define @t42 () (tptp.intersection_point @t6 @t11)) % 0.46/0.63 (define @t43 () (tptp.line @t6)) % 0.46/0.63 (define @t44 () (tptp.parallel_through_point @t6 @t7)) % 0.46/0.63 (define @t45 () (tptp.left_apart_point @t7 @t30)) % 0.46/0.63 (define @t46 () (tptp.equally_directed_opposite_lines @t11 @t22)) % 0.46/0.63 (define @t47 () (tptp.equally_directed_lines @t6 @t22)) % 0.46/0.63 (define @t48 () (tptp.equally_directed_opposite_lines @t6 @t11)) % 0.46/0.63 (define @t49 () (and @t48 @t47)) % 0.46/0.63 (define @t50 () (forall @t24 (=> @t49 @t46))) % 0.46/0.63 (define @t51 () (not @t50)) % 0.46/0.63 (define @t52 () (not @t33)) % 0.46/0.63 (define @t53 () (forall @t13 @t52)) % 0.46/0.63 (define @t54 () (@list @t6 @t11)) % 0.46/0.63 (define @t55 () (not @t34)) % 0.46/0.63 (define @t56 () (forall @t13 @t55)) % 0.46/0.63 (define @t57 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 0.46/0.63 (define @t58 () (@var "BOUND_VARIABLE_7694" $$unsorted)) % 0.46/0.63 (define @t59 () (and @t56 @t53)) % 0.46/0.63 (define @t60 () (not @t31)) % 0.46/0.63 (define @t61 () (not @t12)) % 0.46/0.63 (define @t62 () (not @t47)) % 0.46/0.63 (define @t63 () (not @t48)) % 0.46/0.63 (define @t64 () (or @t63 @t62 @t46)) % 0.46/0.63 (define @t65 () (forall @t24 @t64)) % 0.46/0.63 (define @t66 () (@quantifiers_skolemize @t65 2)) % 0.46/0.63 (define @t67 () (@quantifiers_skolemize @t65 1)) % 0.46/0.63 (define @t68 () (@list @t67 @t66)) % 0.46/0.63 (define @t69 () (@quantifiers_skolemize @t65 0)) % 0.46/0.63 (define @t70 () (@list @t69 @t67)) % 0.46/0.63 (define @t71 () (tptp.equally_directed_opposite_lines @t69 @t67)) % 0.46/0.63 (define @t72 () (tptp.equally_directed_opposite_lines @t67 @t66)) % 0.46/0.63 (define @t73 () (tptp.equally_directed_lines @t69 @t66)) % 0.46/0.63 (define @t74 () (not @t73)) % 0.46/0.63 (define @t75 () (not @t71)) % 0.46/0.63 (define @t76 () (or @t75 @t74 @t72)) % 0.46/0.63 (define @t77 () (@list true)) % 0.46/0.63 (define @t78 () (@list @t76)) % 0.46/0.63 (define @t79 () (tptp.unequally_directed_opposite_lines @t69 @t67)) % 0.46/0.63 (define @t80 () (not @t79)) % 0.46/0.63 (define @t81 () (= @t71 @t80)) % 0.46/0.63 (define @t82 () (@list false false)) % 0.46/0.63 (define @t83 () (tptp.unequally_directed_lines @t69 (tptp.reverse_line @t67))) % 0.46/0.63 (define @t84 () (= @t79 @t83)) % 0.46/0.63 (define @t85 () (not @t83)) % 0.46/0.63 (define @t86 () (@list true false)) % 0.46/0.63 (define @t87 () (tptp.unequally_directed_lines @t69 @t67)) % 0.46/0.63 (define @t88 () (or @t87 @t83)) % 0.46/0.63 (define @t89 () (tptp.unequally_directed_lines @t69 @t66)) % 0.46/0.63 (define @t90 () (not @t89)) % 0.46/0.63 (define @t91 () (= @t73 @t90)) % 0.46/0.63 (define @t92 () (tptp.unequally_directed_lines @t67 @t66)) % 0.46/0.63 (define @t93 () (not @t87)) % 0.46/0.63 (define @t94 () (or @t93 @t89 @t92)) % 0.46/0.63 (define @t95 () (tptp.unequally_directed_opposite_lines @t67 @t66)) % 0.46/0.63 (define @t96 () (not @t95)) % 0.46/0.63 (define @t97 () (= @t72 @t96)) % 0.46/0.63 (define @t98 () (not @t97)) % 0.46/0.63 (define @t99 () (tptp.reverse_line @t66)) % 0.46/0.63 (define @t100 () (tptp.unequally_directed_lines @t67 @t99)) % 0.46/0.63 (define @t101 () (= @t95 @t100)) % 0.46/0.63 (define @t102 () (tptp.left_convergent_lines @t67 @t99)) % 0.46/0.63 (define @t103 () (tptp.left_convergent_lines @t67 @t66)) % 0.46/0.63 (define @t104 () (not @t100)) % 0.46/0.63 (define @t105 () (not @t92)) % 0.46/0.63 (define @t106 () (or @t105 @t104 @t103 @t102)) % 0.46/0.63 (define @t107 () (forall (@list @t58 @t57) (not (tptp.left_convergent_lines @t58 @t57)))) % 0.46/0.63 (assume @p1 (forall @t5 (= @t4 (tptp.unequally_directed_lines @t3 @t2)))) % 0.46/0.63 (assume @p2 (forall @t5 (= (tptp.right_apart_point @t3 @t1) (tptp.left_apart_point @t3 @t2)))) % 0.46/0.63 (assume @p3 (forall @t5 (= (tptp.right_convergent_lines @t3 @t1) (tptp.left_convergent_lines @t3 @t2)))) % 0.46/0.63 (assume @p4 (forall @t5 (= (tptp.equally_directed_lines @t3 @t1) (not (tptp.unequally_directed_lines @t3 @t1))))) % 0.46/0.63 (assume @p5 (forall @t5 (= (tptp.equally_directed_opposite_lines @t3 @t1) (not @t4)))) % 0.46/0.63 (assume @p6 (forall @t10 (= (tptp.apart_point_and_line @t7 @t6) (or @t9 @t8)))) % 0.46/0.63 (assume @p7 (forall @t13 (= (tptp.convergent_lines @t6 @t11) (and @t12 (tptp.unequally_directed_opposite_lines @t6 @t11))))) % 0.46/0.63 (assume @p8 (forall @t16 (= (tptp.divides_points @t6 @t7 @t14) (or (and @t9 (tptp.right_apart_point @t14 @t6)) (and @t8 @t15))))) % 0.46/0.63 (assume @p9 (forall (@list @t6 @t7 @t14) (= @t19 (and @t18 (tptp.incident_point_and_line @t7 @t6) (tptp.incident_point_and_line @t14 @t6) (tptp.equally_directed_lines @t6 @t17))))) % 0.46/0.63 (assume @p10 (forall (@list @t6 @t7 @t14 @t20) (= (tptp.between_on_line @t6 @t7 @t14 @t20) (or (and @t19 (tptp.before_on_line @t6 @t14 @t20)) (and (tptp.before_on_line @t6 @t20 @t14) (tptp.before_on_line @t6 @t14 @t7)))))) % 0.46/0.63 (assume @p11 (forall (@list @t7) (not (tptp.distinct_points @t7 @t7)))) % 0.46/0.63 (assume @p12 (forall (@list @t7 @t14 @t20) (=> @t18 (or (tptp.distinct_points @t7 @t20) (tptp.distinct_points @t14 @t20))))) % 0.46/0.63 (assume @p13 (forall @t21 (not (tptp.distinct_lines @t6 @t6)))) % 0.46/0.63 (assume @p14 (forall @t24 (=> @t23 (or (tptp.distinct_lines @t6 @t22) (tptp.distinct_lines @t11 @t22))))) % 0.46/0.63 (assume @p15 (forall @t21 (tptp.equally_directed_lines @t6 @t6))) % 0.46/0.63 (assume @p16 @t28) % 0.46/0.63 (assume @p17 (forall @t24 (=> @t32 (or (and @t26 (tptp.unequally_directed_lines @t6 @t29)) (and @t25 (tptp.unequally_directed_lines @t11 @t29)))))) % 0.46/0.63 (assume @p18 (forall @t13 (or @t12 @t31))) % 0.46/0.63 (assume @p19 @t36) % 0.46/0.63 (assume @p20 (forall @t10 (not (or @t9 @t38)))) % 0.46/0.63 (assume @p21 @t39) % 0.46/0.63 (assume @p22 (forall @t41 (=> (and @t40 (tptp.point @t14) @t18) (tptp.line @t17)))) % 0.46/0.63 (assume @p23 (forall @t13 (=> (and @t43 (tptp.line @t11) @t12 @t31) (tptp.point @t42)))) % 0.46/0.63 (assume @p24 (forall (@list @t6 @t7) (=> (and @t40 @t43) (tptp.line @t44)))) % 0.46/0.63 (assume @p25 (forall @t21 (=> @t43 (tptp.line @t37)))) % 0.46/0.63 (assume @p26 (forall @t41 (=> @t18 (and (not (tptp.apart_point_and_line @t7 @t17)) (not (tptp.apart_point_and_line @t14 @t17)))))) % 0.46/0.63 (assume @p27 (forall @t13 (=> @t32 (and (not (tptp.apart_point_and_line @t42 @t6)) (not (tptp.apart_point_and_line @t42 @t11)))))) % 0.46/0.63 (assume @p28 (forall @t10 (not (tptp.apart_point_and_line @t7 @t44)))) % 0.46/0.63 (assume @p29 (forall @t21 (not (tptp.distinct_lines @t6 @t37)))) % 0.46/0.63 (assume @p30 (forall @t41 (=> @t18 (tptp.equally_directed_lines @t17 (tptp.reverse_line (tptp.line_connecting @t14 @t7)))))) % 0.46/0.63 (assume @p31 (forall @t10 (tptp.equally_directed_lines @t44 @t6))) % 0.46/0.63 (assume @p32 (forall (@list @t7 @t14 @t6 @t11) (=> (and @t18 @t23) (or @t9 @t15 (tptp.left_apart_point @t7 @t11) (tptp.left_apart_point @t14 @t11) @t38 (tptp.left_apart_point @t14 @t37) @t45 (tptp.left_apart_point @t14 @t30))))) % 0.46/0.63 (assume @p33 (forall @t16 (=> (and @t18 @t9) (or @t15 (tptp.left_convergent_lines @t17 @t6))))) % 0.46/0.63 (assume @p34 (forall @t16 (=> @t9 (or @t18 @t15)))) % 0.46/0.63 (assume @p35 (forall (@list @t7 @t6 @t11) (=> (and @t9 @t12) (or @t23 @t45)))) % 0.46/0.63 (assume @p36 (forall @t24 (=> @t34 (or @t25 (tptp.left_convergent_lines @t6 @t22))))) % 0.46/0.63 (assume @p37 @t51) % 0.46/0.63 (assume @p38 true) % 0.46/0.63 (step @p39 :rule alpha_equiv :args (@t53 @t54 (@list (@var "BOUND_VARIABLE_7702" $$unsorted) (@var "BOUND_VARIABLE_7704" $$unsorted)))) % 0.46/0.63 (step @p40 :rule alpha_equiv :args (@t56 @t54 (@list @t58 @t57))) % 0.46/0.63 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t59)) % 0.46/0.63 (step @p42 :rule quant-miniscope-and :args ((= (forall @t13 (and @t55 @t52)) @t59))) % 0.46/0.63 (step @p43 :rule trans :premises (@p42 @p41)) % 0.46/0.63 (step @p44 :rule bool-or-de-morgan :args (@t34 @t33 false)) % 0.46/0.63 (step @p45 :rule cong :premises (@p44) :args (@t39)) % 0.46/0.63 (step @p46 :rule trans :premises (@p45 @p43)) % 0.46/0.63 (step @p47 :rule eq_resolve :premises (@p21 @p46)) % 0.46/0.63 (step @p48 :rule and_elim :premises (@p47) :args (0)) % 0.46/0.63 (step @p49 :rule aci_norm :args ((= (or (or @t61 @t60) @t35) (or @t61 @t60 @t34 @t33)))) % 0.46/0.63 (step @p50 :rule refl :args (@t35)) % 0.46/0.63 (step @p51 :rule bool-and-de-morgan :args (@t12 @t31 true)) % 0.46/0.63 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t32) @t35))) % 0.46/0.63 (step @p53 :rule trans :premises (@p52 @p49)) % 0.46/0.63 (step @p54 :rule bool-impl-elim :args (@t32 @t35)) % 0.46/0.63 (step @p55 :rule trans :premises (@p54 @p53)) % 0.46/0.63 (step @p56 :rule cong :premises (@p55) :args (@t36)) % 0.46/0.63 (step @p57 :rule eq_resolve :premises (@p19 @p56)) % 0.46/0.63 (step @p58 :rule instantiate :premises (@p57) :args (@t68)) % 0.46/0.63 (step @p59 :rule instantiate :premises (@p48) :args (@t68)) % 0.46/0.63 (step @p60 :rule aci_norm :args ((= (or @t61 @t27) (or @t61 @t26 @t25)))) % 0.46/0.63 (step @p61 :rule bool-impl-elim :args (@t12 @t27)) % 0.46/0.63 (step @p62 :rule trans :premises (@p61 @p60)) % 0.46/0.63 (step @p63 :rule cong :premises (@p62) :args (@t28)) % 0.46/0.63 (step @p64 :rule eq_resolve :premises (@p16 @p63)) % 0.46/0.63 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t69 @t67 @t66))) % 0.46/0.63 (step @p66 :rule instantiate :premises (@p18) :args (@t70)) % 0.46/0.63 (step @p67 :rule instantiate :premises (@p1) :args (@t70)) % 0.46/0.63 (step @p68 :rule instantiate :premises (@p5) :args (@t70)) % 0.46/0.63 (step @p69 :rule aci_norm :args ((= (or (or @t63 @t62) @t46) @t64))) % 0.46/0.63 (step @p70 :rule refl :args (@t46)) % 0.46/0.63 (step @p71 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 0.46/0.63 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t49) @t46))) % 0.46/0.63 (step @p73 :rule trans :premises (@p72 @p69)) % 0.46/0.63 (step @p74 :rule bool-impl-elim :args (@t49 @t46)) % 0.46/0.63 (step @p75 :rule trans :premises (@p74 @p73)) % 0.46/0.63 (step @p76 :rule cong :premises (@p75) :args (@t50)) % 0.46/0.63 (step @p77 :rule cong :premises (@p76) :args (@t51)) % 0.46/0.63 (step @p78 :rule eq_resolve :premises (@p37 @p77)) % 0.46/0.63 (step @p79 :rule skolemize :premises (@p78)) % 0.46/0.63 (step @p80 :rule bool-double-not-elim :args (@t71)) % 0.46/0.63 (step @p81 :rule refl :args (@t76)) % 0.46/0.63 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t76 (not @t75)))) % 0.46/0.63 (step @p83 :rule cnf_or_neg :args (@t76 0)) % 0.46/0.63 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.46/0.63 (step @p85 :rule reordering :premises (@p84) :args ((or @t71 @t76))) % 0.46/0.63 (step @p86 :rule chain_m_resolution :premises (@p85 @p79) :args (@t71 @t77 @t78)) % 0.46/0.63 (step @p87 :rule cnf_equiv_pos1 :args (@t81)) % 0.46/0.63 (step @p88 :rule reordering :premises (@p87) :args ((or @t75 @t80 (not @t81)))) % 0.46/0.63 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p68) :args (@t80 @t82 (@list @t71 @t81))) % 0.46/0.63 (step @p90 :rule cnf_equiv_pos2 :args (@t84)) % 0.46/0.63 (step @p91 :rule reordering :premises (@p90) :args ((or @t79 @t85 (not @t84)))) % 0.46/0.63 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p67) :args (@t85 @t86 (@list @t79 @t84))) % 0.46/0.63 (step @p93 :rule cnf_or_pos :args (@t88)) % 0.46/0.63 (step @p94 :rule reordering :premises (@p93) :args ((or @t83 @t87 (not @t88)))) % 0.46/0.63 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p66) :args (@t87 @t86 (@list @t83 @t88))) % 0.46/0.63 (step @p96 :rule instantiate :premises (@p4) :args ((@list @t69 @t66))) % 0.46/0.63 (step @p97 :rule bool-double-not-elim :args (@t73)) % 0.46/0.63 (step @p98 :rule nary_cong :premises (@p81 @p97) :args ((or @t76 (not @t74)))) % 0.46/0.63 (step @p99 :rule cnf_or_neg :args (@t76 1)) % 0.46/0.63 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.46/0.63 (step @p101 :rule reordering :premises (@p100) :args ((or @t73 @t76))) % 0.46/0.63 (step @p102 :rule chain_m_resolution :premises (@p101 @p79) :args (@t73 @t77 @t78)) % 0.46/0.63 (step @p103 :rule cnf_equiv_pos1 :args (@t91)) % 0.46/0.63 (step @p104 :rule reordering :premises (@p103) :args ((or @t74 @t90 (not @t91)))) % 0.46/0.63 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p96) :args (@t90 @t82 (@list @t73 @t91))) % 0.46/0.63 (step @p106 :rule cnf_or_pos :args (@t94)) % 0.46/0.63 (step @p107 :rule reordering :premises (@p106) :args ((or @t89 @t92 @t93 (not @t94)))) % 0.46/0.63 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p95 @p65) :args (@t92 (@list true false false) (@list @t89 @t87 @t94))) % 0.46/0.63 (step @p109 :rule instantiate :premises (@p1) :args (@t68)) % 0.46/0.63 (step @p110 :rule instantiate :premises (@p5) :args (@t68)) % 0.46/0.63 (step @p111 :rule cnf_or_neg :args (@t76 2)) % 0.46/0.63 (step @p112 :rule chain_m_resolution :premises (@p111 @p79) :args ((not @t72) @t77 @t78)) % 0.46/0.63 (step @p113 :rule bool-double-not-elim :args (@t95)) % 0.46/0.63 (step @p114 :rule refl :args (@t72)) % 0.46/0.63 (step @p115 :rule refl :args (@t98)) % 0.46/0.63 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args ((or @t98 @t72 (not @t96)))) % 0.46/0.63 (step @p117 :rule cnf_equiv_pos2 :args (@t97)) % 0.46/0.63 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.46/0.63 (step @p119 :rule reordering :premises (@p118) :args ((or @t72 @t95 @t98))) % 0.46/0.63 (step @p120 :rule chain_m_resolution :premises (@p119 @p112 @p110) :args (@t95 @t86 (@list @t72 @t97))) % 0.46/0.63 (step @p121 :rule cnf_equiv_pos1 :args (@t101)) % 0.46/0.63 (step @p122 :rule reordering :premises (@p121) :args ((or @t96 @t100 (not @t101)))) % 0.46/0.63 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p109) :args (@t100 @t82 (@list @t95 @t101))) % 0.46/0.63 (step @p124 :rule cnf_or_pos :args (@t106)) % 0.46/0.63 (step @p125 :rule reordering :premises (@p124) :args ((or @t104 @t105 @t103 @t102 (not @t106)))) % 0.46/0.63 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p108 @p59 @p58) :args (@t102 (@list false false true false) (@list @t100 @t92 @t103 @t106))) % 0.46/0.63 (assume-push @p133 @t107) % 0.46/0.63 (step @p128 :rule instantiate :premises (@p48) :args ((@list @t67 @t99))) % 0.46/0.63 (step-pop @p134 :rule scope :premises (@p128)) % 0.46/0.63 (step @p129 :rule process_scope :premises (@p134) :args ((not @t102))) % 0.46/0.63 (step @p131 :rule implies_elim :premises (@p129)) % 0.46/0.63 (step @p132 false :rule chain_m_resolution :premises (@p131 @p126 @p48) :args (false @t82 (@list @t102 @t107))) % 0.46/0.63 ) % 0.46/0.63 % SZS output end Proof % 0.46/0.63 % cvc5 exiting %------------------------------------------------------------------------------