%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO118+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:16:24 AM UTC 2026 % Result : Theorem 0.52s 0.74s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO118+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n020.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 23:25:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.74 % SZS status Theorem % 0.52/0.74 % SZS output start Proof % 0.52/0.74 ( % 0.52/0.74 (declare-sort $$unsorted 0) % 0.52/0.74 (declare-const tptp.finish_point (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.open (-> $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.ordered_by (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.start_point (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.between_o (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.underlying_curve (-> $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.74 (declare-const tptp.incident_o (-> $$unsorted $$unsorted Bool)) % 0.52/0.74 (define @t1 () (@var "C" $$unsorted)) % 0.52/0.74 (define @t2 () (@var "P" $$unsorted)) % 0.52/0.74 (define @t3 () (tptp.incident_c @t2 @t1)) % 0.52/0.74 (define @t4 () (@var "C1" $$unsorted)) % 0.52/0.74 (define @t5 () (tptp.incident_c @t2 @t4)) % 0.52/0.74 (define @t6 () (@list @t2)) % 0.52/0.74 (define @t7 () (tptp.part_of @t4 @t1)) % 0.52/0.74 (define @t8 () (@list @t1 @t4)) % 0.52/0.74 (define @t9 () (@var "C2" $$unsorted)) % 0.52/0.74 (define @t10 () (@var "Q" $$unsorted)) % 0.52/0.74 (define @t11 () (tptp.incident_c @t10 @t4)) % 0.52/0.74 (define @t12 () (tptp.incident_c @t10 @t1)) % 0.52/0.74 (define @t13 () (@list @t10)) % 0.52/0.74 (define @t14 () (= @t1 (tptp.sum @t4 @t9))) % 0.52/0.74 (define @t15 () (tptp.part_of @t9 @t4)) % 0.52/0.74 (define @t16 () (tptp.part_of @t4 @t9)) % 0.52/0.74 (define @t17 () (tptp.part_of @t9 @t1)) % 0.52/0.74 (define @t18 () (@list @t4 @t9)) % 0.52/0.74 (define @t19 () (tptp.end_point @t2 @t1)) % 0.52/0.74 (define @t20 () (@list @t2 @t1)) % 0.52/0.74 (define @t21 () (tptp.inner_point @t2 @t1)) % 0.52/0.74 (define @t22 () (tptp.end_point @t10 @t4)) % 0.52/0.74 (define @t23 () (tptp.end_point @t10 @t1)) % 0.52/0.74 (define @t24 () (exists @t6 @t19)) % 0.52/0.74 (define @t25 () (tptp.closed @t1)) % 0.52/0.74 (define @t26 () (@list @t1)) % 0.52/0.74 (define @t27 () (tptp.open @t1)) % 0.52/0.74 (define @t28 () (@var "C3" $$unsorted)) % 0.52/0.74 (define @t29 () (tptp.meet @t2 @t4 @t9)) % 0.52/0.74 (define @t30 () (@list @t1 @t2)) % 0.52/0.74 (define @t31 () (@var "R" $$unsorted)) % 0.52/0.74 (define @t32 () (= @t2 @t31)) % 0.52/0.74 (define @t33 () (= @t2 @t10)) % 0.52/0.74 (define @t34 () (@list @t1 @t2 @t10 @t31)) % 0.52/0.74 (define @t35 () (not @t33)) % 0.52/0.74 (define @t36 () (@var "Cpp" $$unsorted)) % 0.52/0.74 (define @t37 () (tptp.inner_point @t10 @t36)) % 0.52/0.74 (define @t38 () (tptp.end_point @t31 @t36)) % 0.52/0.74 (define @t39 () (tptp.end_point @t2 @t36)) % 0.52/0.74 (define @t40 () (tptp.part_of @t36 @t1)) % 0.52/0.74 (define @t41 () (and @t40 @t39 @t38 @t37)) % 0.52/0.74 (define @t42 () (@list @t36)) % 0.52/0.74 (define @t43 () (exists @t42 @t41)) % 0.52/0.74 (define @t44 () (not @t32)) % 0.52/0.74 (define @t45 () (and @t44 @t43)) % 0.52/0.74 (define @t46 () (tptp.between_c @t1 @t2 @t10 @t31)) % 0.52/0.74 (define @t47 () (= @t46 @t45)) % 0.52/0.74 (define @t48 () (forall @t34 @t47)) % 0.52/0.74 (define @t49 () (@var "O" $$unsorted)) % 0.52/0.74 (define @t50 () (tptp.ordered_by @t49 @t10 @t2)) % 0.52/0.74 (define @t51 () (tptp.ordered_by @t49 @t2 @t10)) % 0.52/0.74 (define @t52 () (tptp.between_o @t49 @t2 @t10 @t31)) % 0.52/0.74 (define @t53 () (forall (@list @t49 @t2 @t10 @t31) (= @t52 (or (and @t51 (tptp.ordered_by @t49 @t10 @t31)) (and (tptp.ordered_by @t49 @t31 @t10) @t50))))) % 0.52/0.74 (define @t54 () (tptp.incident_o @t10 @t49)) % 0.52/0.74 (define @t55 () (and @t35 @t54)) % 0.52/0.74 (define @t56 () (tptp.incident_o @t2 @t49)) % 0.52/0.74 (define @t57 () (tptp.start_point @t2 @t49)) % 0.52/0.74 (define @t58 () (@list @t2 @t49)) % 0.52/0.74 (define @t59 () (@list @t49 @t2 @t10)) % 0.52/0.74 (define @t60 () (forall @t6 (= @t56 @t3))) % 0.52/0.74 (define @t61 () (@list @t49)) % 0.52/0.74 (define @t62 () (and @t60 @t46)) % 0.52/0.74 (define @t63 () (exists @t26 @t62)) % 0.52/0.74 (define @t64 () (= @t52 @t63)) % 0.52/0.74 (define @t65 () (@list @t2 @t10 @t31 @t49)) % 0.52/0.74 (define @t66 () (forall @t65 @t64)) % 0.52/0.74 (define @t67 () (@var "O2" $$unsorted)) % 0.52/0.74 (define @t68 () (@var "O1" $$unsorted)) % 0.52/0.74 (define @t69 () (not @t50)) % 0.52/0.74 (define @t70 () (forall @t59 (=> @t51 @t69))) % 0.52/0.74 (define @t71 () (not @t70)) % 0.52/0.74 (define @t72 () (not @t37)) % 0.52/0.74 (define @t73 () (not @t38)) % 0.52/0.74 (define @t74 () (not @t39)) % 0.52/0.74 (define @t75 () (not @t40)) % 0.52/0.74 (define @t76 () (or @t75 @t74 @t73 @t72)) % 0.52/0.74 (define @t77 () (forall @t42 (not @t41))) % 0.52/0.74 (define @t78 () (not @t77)) % 0.52/0.74 (define @t79 () (not @t46)) % 0.52/0.74 (define @t80 () (forall @t6 (= @t3 @t56))) % 0.52/0.74 (define @t81 () (@var "BOUND_VARIABLE_7863" $$unsorted)) % 0.52/0.74 (define @t82 () (not @t80)) % 0.52/0.74 (define @t83 () (or @t82 @t79)) % 0.52/0.74 (define @t84 () (forall @t26 @t83)) % 0.52/0.74 (define @t85 () (not @t84)) % 0.52/0.74 (define @t86 () (= @t52 @t85)) % 0.52/0.74 (define @t87 () (and @t80 @t46)) % 0.52/0.74 (define @t88 () (forall @t26 (not @t87))) % 0.52/0.74 (define @t89 () (not @t88)) % 0.52/0.74 (define @t90 () (forall @t59 (or (not @t51) @t69))) % 0.52/0.74 (define @t91 () (@quantifiers_skolemize @t90 0)) % 0.52/0.74 (define @t92 () (@quantifiers_skolemize @t90 1)) % 0.52/0.74 (define @t93 () (@quantifiers_skolemize @t90 2)) % 0.52/0.74 (define @t94 () (tptp.ordered_by @t91 @t93 @t92)) % 0.52/0.74 (define @t95 () (tptp.ordered_by @t91 @t92 @t93)) % 0.52/0.74 (define @t96 () (and @t95 @t94)) % 0.52/0.74 (define @t97 () (or @t96 @t96)) % 0.52/0.74 (define @t98 () (tptp.between_o @t91 @t92 @t93 @t92)) % 0.52/0.74 (define @t99 () (= @t98 @t97)) % 0.52/0.74 (define @t100 () (= @t98 @t96)) % 0.52/0.74 (define @t101 () (not @t94)) % 0.52/0.74 (define @t102 () (not @t95)) % 0.52/0.74 (define @t103 () (or @t102 @t101)) % 0.52/0.74 (define @t104 () (@list true)) % 0.52/0.74 (define @t105 () (@list @t103)) % 0.52/0.74 (define @t106 () (@list false false)) % 0.52/0.74 (define @t107 () (tptp.incident_o @t81 @t91)) % 0.52/0.74 (define @t108 () (@list @t81)) % 0.52/0.74 (define @t109 () (forall @t26 (or (not (forall @t108 (= (tptp.incident_c @t81 @t1) @t107))) (not (tptp.between_c @t1 @t92 @t93 @t92))))) % 0.52/0.74 (define @t110 () (not @t109)) % 0.52/0.74 (define @t111 () (= @t98 @t110)) % 0.52/0.74 (define @t112 () (@quantifiers_skolemize @t109 0)) % 0.52/0.74 (define @t113 () (tptp.between_c @t112 @t92 @t93 @t92)) % 0.52/0.74 (define @t114 () (not @t113)) % 0.52/0.74 (define @t115 () (tptp.incident_c @t81 @t112)) % 0.52/0.74 (define @t116 () (or (not (forall @t108 (= @t107 @t115))) @t114)) % 0.52/0.74 (define @t117 () (not @t116)) % 0.52/0.74 (define @t118 () (forall @t108 (= @t115 @t107))) % 0.52/0.74 (define @t119 () (not @t118)) % 0.52/0.74 (define @t120 () (or @t119 @t114)) % 0.52/0.74 (define @t121 () (not @t120)) % 0.52/0.74 (define @t122 () (not (tptp.inner_point @t93 @t36))) % 0.52/0.74 (define @t123 () (not (tptp.end_point @t92 @t36))) % 0.52/0.74 (define @t124 () (not (tptp.part_of @t36 @t112))) % 0.52/0.74 (define @t125 () (or @t124 @t123 @t122)) % 0.52/0.74 (define @t126 () (or @t124 @t123 @t123 @t122)) % 0.52/0.74 (define @t127 () (forall @t42 @t126)) % 0.52/0.74 (define @t128 () (not @t127)) % 0.52/0.74 (define @t129 () (not (= @t92 @t92))) % 0.52/0.74 (define @t130 () (and @t129 @t128)) % 0.52/0.74 (define @t131 () (= @t113 @t130)) % 0.52/0.74 (define @t132 () (forall @t34 (= @t46 (and @t44 (not (forall @t42 @t76)))))) % 0.52/0.74 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.52/0.74 (assume @p2 (forall (@list @t1 @t4 @t9) (= @t14 (forall @t13 (= @t12 (or @t11 (tptp.incident_c @t10 @t9))))))) % 0.52/0.74 (assume @p3 (forall @t20 (= @t19 (and @t3 (forall @t18 (=> (and @t7 @t17 @t5 (tptp.incident_c @t2 @t9)) (or @t16 @t15))))))) % 0.52/0.74 (assume @p4 (forall @t20 (= @t21 (and @t3 (not @t19))))) % 0.52/0.74 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t13 (=> (and @t12 @t11) (and @t23 @t22))))))) % 0.52/0.74 (assume @p6 (forall @t26 (= @t25 (not @t24)))) % 0.52/0.74 (assume @p7 (forall @t26 (= @t27 @t24))) % 0.52/0.74 (assume @p8 (forall @t8 (=> (and @t7 (not (= @t4 @t1))) (tptp.open @t4)))) % 0.52/0.74 (assume @p9 (forall (@list @t1 @t4 @t9 @t28) (=> (and @t7 @t17 (tptp.part_of @t28 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t9) (tptp.end_point @t2 @t28)))) (or (tptp.part_of @t9 @t28) (tptp.part_of @t28 @t9) @t16 @t15 (tptp.part_of @t4 @t28) (tptp.part_of @t28 @t4))))) % 0.52/0.74 (assume @p10 (forall @t26 (exists @t6 @t21))) % 0.52/0.74 (assume @p11 (forall @t30 (=> @t21 (exists @t18 (and @t29 @t14))))) % 0.52/0.74 (assume @p12 (forall @t34 (=> (and @t19 @t23 (tptp.end_point @t31 @t1)) (or @t33 @t32 (= @t10 @t31))))) % 0.52/0.74 (assume @p13 (forall @t30 (=> @t19 (exists @t13 (and @t23 @t35))))) % 0.52/0.74 (assume @p14 (forall (@list @t1 @t4 @t9 @t2) (=> (and @t25 @t29 @t14) (forall @t13 (=> @t22 (tptp.meet @t10 @t4 @t9)))))) % 0.52/0.74 (assume @p15 (forall @t18 (=> (exists @t6 @t29) (exists @t26 @t14)))) % 0.52/0.74 (assume @p16 (forall @t8 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 0.52/0.74 (assume @p17 @t48) % 0.52/0.74 (assume @p18 @t53) % 0.52/0.74 (assume @p19 (forall @t58 (= @t57 (and @t56 (forall @t13 (=> @t55 @t51)))))) % 0.52/0.74 (assume @p20 (forall @t58 (= (tptp.finish_point @t2 @t49) (and @t56 (forall @t13 (=> @t55 @t50)))))) % 0.52/0.74 (assume @p21 (forall @t59 (=> @t51 (and @t56 @t54)))) % 0.52/0.74 (assume @p22 (forall @t61 (exists @t26 (and @t27 @t60)))) % 0.52/0.74 (assume @p23 @t66) % 0.52/0.74 (assume @p24 (forall @t61 (exists @t6 @t57))) % 0.52/0.74 (assume @p25 (forall (@list @t2 @t10 @t1) (=> (and @t27 @t35 @t3 @t12) (exists @t61 (and (forall (@list @t31) (= (tptp.incident_o @t31 @t49) (tptp.incident_c @t31 @t1))) @t51))))) % 0.52/0.74 (assume @p26 (forall (@list @t68 @t67) (=> (forall (@list @t2 @t10) (= (tptp.ordered_by @t68 @t2 @t10) (tptp.ordered_by @t67 @t2 @t10))) (= @t68 @t67)))) % 0.52/0.74 (assume @p27 (forall (@list @t1 @t49) (= (= @t1 (tptp.underlying_curve @t49)) @t60))) % 0.52/0.74 (assume @p28 @t71) % 0.52/0.74 (assume @p29 true) % 0.52/0.74 (step @p30 :rule aci_norm :args ((= (or @t75 (or @t74 (or @t73 @t72))) @t76))) % 0.52/0.74 (step @p31 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.52/0.74 (step @p32 :rule refl :args (@t74)) % 0.52/0.74 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t74 (not (and @t38 @t37))))) % 0.52/0.74 (step @p34 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37))) % 0.52/0.74 (step @p35 :rule trans :premises (@p34 @p33)) % 0.52/0.74 (step @p36 :rule refl :args (@t75)) % 0.52/0.74 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t75 (not (and @t39 @t38 @t37))))) % 0.52/0.74 (step @p38 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t37))) % 0.52/0.74 (step @p39 :rule trans :premises (@p38 @p37)) % 0.52/0.74 (step @p40 :rule trans :premises (@p39 @p30)) % 0.52/0.74 (step @p41 :rule cong :premises (@p40) :args (@t77)) % 0.52/0.74 (step @p42 :rule cong :premises (@p41) :args (@t78)) % 0.52/0.74 (step @p43 :rule exists-elim :args ((= @t43 @t78))) % 0.52/0.74 (step @p44 :rule trans :premises (@p43 @p42)) % 0.52/0.74 (step @p45 :rule refl :args (@t44)) % 0.52/0.74 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t45)) % 0.52/0.74 (step @p47 :rule refl :args (@t46)) % 0.52/0.74 (step @p48 :rule cong :premises (@p47 @p46) :args (@t47)) % 0.52/0.74 (step @p49 :rule cong :premises (@p48) :args (@t48)) % 0.52/0.74 (step @p50 :rule eq_resolve :premises (@p17 @p49)) % 0.52/0.74 (step @p51 :rule refl :args (@t79)) % 0.52/0.74 (step @p52 :rule alpha_equiv :args (@t80 (@list @t2) (@list @t81))) % 0.52/0.74 (step @p53 :rule cong :premises (@p52) :args (@t82)) % 0.52/0.74 (step @p54 :rule nary_cong :premises (@p53 @p51) :args (@t83)) % 0.52/0.74 (step @p55 :rule cong :premises (@p54) :args (@t84)) % 0.52/0.74 (step @p56 :rule cong :premises (@p55) :args (@t85)) % 0.52/0.74 (step @p57 :rule refl :args (@t52)) % 0.52/0.74 (step @p58 :rule cong :premises (@p57 @p56) :args (@t86)) % 0.52/0.74 (step @p59 :rule cong :premises (@p58) :args ((forall @t65 @t86))) % 0.52/0.74 (step @p60 :rule bool-and-de-morgan :args (@t80 @t46 true)) % 0.52/0.74 (step @p61 :rule cong :premises (@p60) :args (@t88)) % 0.52/0.74 (step @p62 :rule cong :premises (@p61) :args (@t89)) % 0.52/0.74 (step @p63 :rule exists-elim :args ((= (exists @t26 @t87) @t89))) % 0.52/0.74 (step @p64 :rule trans :premises (@p63 @p62)) % 0.52/0.74 (step @p65 :rule eq-symm :args (@t56 @t3)) % 0.52/0.74 (step @p66 :rule cong :premises (@p65) :args (@t60)) % 0.52/0.74 (step @p67 :rule nary_cong :premises (@p66 @p47) :args (@t62)) % 0.52/0.74 (step @p68 :rule cong :premises (@p67) :args (@t63)) % 0.52/0.74 (step @p69 :rule trans :premises (@p68 @p64)) % 0.52/0.74 (step @p70 :rule refl :args (@t52)) % 0.52/0.74 (step @p71 :rule cong :premises (@p70 @p69) :args (@t64)) % 0.52/0.74 (step @p72 :rule cong :premises (@p71) :args (@t66)) % 0.52/0.74 (step @p73 :rule trans :premises (@p72 @p59)) % 0.52/0.74 (step @p74 :rule eq_resolve :premises (@p23 @p73)) % 0.52/0.74 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t92 @t93 @t92 @t91))) % 0.52/0.74 (step @p76 :rule aci_norm :args ((= @t97 @t96))) % 0.52/0.74 (step @p77 :rule refl :args (@t98)) % 0.52/0.74 (step @p78 :rule cong :premises (@p77 @p76) :args (@t99)) % 0.52/0.74 (step @p79 :rule refl :args (@t53)) % 0.52/0.74 (step @p80 :rule cong :premises (@p79 @p78) :args ((=> @t53 @t99))) % 0.52/0.74 (assume-push @p164 @t53) % 0.52/0.74 (step @p82 :rule instantiate :premises (@p18) :args ((@list @t91 @t92 @t93 @t92))) % 0.52/0.74 (step-pop @p165 :rule scope :premises (@p82)) % 0.52/0.74 (step @p83 :rule process_scope :premises (@p165) :args (@t99)) % 0.52/0.74 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 0.52/0.74 (step @p86 :rule implies_elim :premises (@p85)) % 0.52/0.74 (step @p87 :rule chain_m_resolution :premises (@p86 @p18) :args (@t100 (@list false) (@list @t53))) % 0.52/0.74 (step @p88 :rule bool-impl-elim :args (@t51 @t69)) % 0.52/0.74 (step @p89 :rule cong :premises (@p88) :args (@t70)) % 0.52/0.74 (step @p90 :rule cong :premises (@p89) :args (@t71)) % 0.52/0.74 (step @p91 :rule eq_resolve :premises (@p28 @p90)) % 0.52/0.74 (step @p92 :rule skolemize :premises (@p91)) % 0.52/0.74 (step @p93 :rule bool-double-not-elim :args (@t94)) % 0.52/0.74 (step @p94 :rule refl :args (@t103)) % 0.52/0.74 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t103 (not @t101)))) % 0.52/0.74 (step @p96 :rule cnf_or_neg :args (@t103 1)) % 0.52/0.74 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.52/0.74 (step @p98 :rule reordering :premises (@p97) :args ((or @t94 @t103))) % 0.52/0.74 (step @p99 :rule chain_m_resolution :premises (@p98 @p92) :args (@t94 @t104 @t105)) % 0.52/0.74 (step @p100 :rule bool-double-not-elim :args (@t95)) % 0.52/0.74 (step @p101 :rule nary_cong :premises (@p94 @p100) :args ((or @t103 (not @t102)))) % 0.52/0.74 (step @p102 :rule cnf_or_neg :args (@t103 0)) % 0.52/0.74 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.52/0.74 (step @p104 :rule reordering :premises (@p103) :args ((or @t95 @t103))) % 0.52/0.74 (step @p105 :rule chain_m_resolution :premises (@p104 @p92) :args (@t95 @t104 @t105)) % 0.52/0.74 (step @p106 :rule cnf_and_neg :args (@t96)) % 0.52/0.74 (step @p107 :rule reordering :premises (@p106) :args ((or @t102 @t101 @t96))) % 0.52/0.74 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p99) :args (@t96 @t106 (@list @t95 @t94))) % 0.52/0.74 (step @p109 :rule cnf_equiv_pos2 :args (@t100)) % 0.52/0.74 (step @p110 :rule reordering :premises (@p109) :args ((or @t98 (not @t96) (not @t100)))) % 0.52/0.74 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p87) :args (@t98 @t106 (@list @t96 @t100))) % 0.52/0.74 (step @p112 :rule cnf_equiv_pos1 :args (@t111)) % 0.52/0.74 (step @p113 :rule reordering :premises (@p112) :args ((or (not @t98) @t110 (not @t111)))) % 0.52/0.74 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p75) :args (@t110 @t106 (@list @t98 @t111))) % 0.52/0.74 (step @p115 :rule refl :args (@t117)) % 0.52/0.74 (step @p116 :rule bool-double-not-elim :args (@t109)) % 0.52/0.74 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t110) @t117))) % 0.52/0.74 (step @p118 :rule refl :args (@t114)) % 0.52/0.74 (step @p119 :rule eq-symm :args (@t115 @t107)) % 0.52/0.74 (step @p120 :rule cong :premises (@p119) :args (@t118)) % 0.52/0.74 (step @p121 :rule cong :premises (@p120) :args (@t119)) % 0.52/0.74 (step @p122 :rule nary_cong :premises (@p121 @p118) :args (@t120)) % 0.52/0.74 (step @p123 :rule cong :premises (@p122) :args (@t121)) % 0.52/0.74 (step @p124 :rule refl :args (@t110)) % 0.52/0.74 (step @p125 :rule cong :premises (@p124 @p123) :args ((=> @t110 @t121))) % 0.52/0.74 (assume-push @p166 @t110) % 0.52/0.74 (step @p127 :rule skolemize :premises (@p114)) % 0.52/0.74 (step-pop @p167 :rule scope :premises (@p127)) % 0.52/0.74 (step @p128 :rule process_scope :premises (@p167) :args (@t121)) % 0.52/0.74 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 0.52/0.74 (step @p131 :rule implies_elim :premises (@p130)) % 0.52/0.74 (step @p132 :rule eq_resolve :premises (@p131 @p117)) % 0.52/0.74 (step @p133 :rule chain_m_resolution :premises (@p132 @p114) :args (@t117 @t104 (@list @t109))) % 0.52/0.74 (step @p134 :rule bool-double-not-elim :args (@t113)) % 0.52/0.74 (step @p135 :rule refl :args (@t116)) % 0.52/0.74 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t116 (not @t114)))) % 0.52/0.74 (step @p137 :rule cnf_or_neg :args (@t116 1)) % 0.52/0.74 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.52/0.74 (step @p139 :rule reordering :premises (@p138) :args ((or @t113 @t116))) % 0.52/0.74 (step @p140 :rule chain_m_resolution :premises (@p139 @p133) :args (@t113 @t104 (@list @t116))) % 0.52/0.74 (step @p141 :rule bool-eq-false :args (@t113)) % 0.52/0.74 (step @p142 :rule absorb :args ((= (and false (not (forall @t42 @t125))) false))) % 0.52/0.74 (step @p143 :rule aci_norm :args ((= @t126 @t125))) % 0.52/0.74 (step @p144 :rule cong :premises (@p143) :args (@t127)) % 0.52/0.74 (step @p145 :rule cong :premises (@p144) :args (@t128)) % 0.52/0.74 (step @p146 :rule evaluate :args ((not true))) % 0.52/0.74 (step @p147 :rule eq-refl :args (@t92)) % 0.52/0.74 (step @p148 :rule cong :premises (@p147) :args (@t129)) % 0.52/0.74 (step @p149 :rule trans :premises (@p148 @p146)) % 0.52/0.74 (step @p150 :rule nary_cong :premises (@p149 @p145) :args (@t130)) % 0.52/0.74 (step @p151 :rule trans :premises (@p150 @p142)) % 0.52/0.74 (step @p152 :rule refl :args (@t113)) % 0.52/0.74 (step @p153 :rule cong :premises (@p152 @p151) :args (@t131)) % 0.52/0.74 (step @p154 :rule trans :premises (@p153 @p141)) % 0.52/0.74 (step @p155 :rule refl :args (@t132)) % 0.52/0.74 (step @p156 :rule cong :premises (@p155 @p154) :args ((=> @t132 @t131))) % 0.52/0.74 (assume-push @p168 @t132) % 0.52/0.74 (step @p158 :rule instantiate :premises (@p50) :args ((@list @t112 @t92 @t93 @t92))) % 0.52/0.74 (step-pop @p169 :rule scope :premises (@p158)) % 0.52/0.74 (step @p159 :rule process_scope :premises (@p169) :args (@t131)) % 0.52/0.74 (step @p161 :rule eq_resolve :premises (@p159 @p156)) % 0.52/0.74 (step @p162 :rule implies_elim :premises (@p161)) % 0.52/0.74 (step @p163 false :rule chain_m_resolution :premises (@p162 @p140 @p50) :args (false @t106 (@list @t113 @t132))) % 0.52/0.74 ) % 0.52/0.74 % SZS output end Proof % 0.52/0.74 % cvc5 exiting %------------------------------------------------------------------------------