%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO204+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 : n023.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 08:16:43 AM UTC 2026 % Result : Theorem 0.40s 0.60s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO204+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 % 0.19/0.35 % Computer : n023.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Mon Jun 1 23:40:58 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.60 % SZS status Theorem % 0.40/0.60 % SZS output start Proof % 0.40/0.60 ( % 0.40/0.60 (declare-sort $$unsorted 0) % 0.40/0.60 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.line (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.point (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.40/0.60 (define @t2 () (@list @t1)) % 0.40/0.60 (define @t3 () (@var "Z" $$unsorted)) % 0.40/0.60 (define @t4 () (@var "Y" $$unsorted)) % 0.40/0.60 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.40/0.60 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.40/0.60 (define @t7 () (or @t6 @t5)) % 0.40/0.60 (define @t8 () (tptp.distinct_points @t1 @t4)) % 0.40/0.60 (define @t9 () (@list @t1 @t4 @t3)) % 0.40/0.60 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.40/0.60 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 0.40/0.60 (define @t12 () (tptp.distinct_lines @t1 @t4)) % 0.40/0.60 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.40/0.60 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.40/0.60 (define @t15 () (tptp.convergent_lines @t1 @t4)) % 0.40/0.60 (define @t16 () (tptp.line_connecting @t1 @t4)) % 0.40/0.60 (define @t17 () (not (tptp.apart_point_and_line @t1 @t16))) % 0.40/0.60 (define @t18 () (@list @t1 @t4)) % 0.40/0.60 (define @t19 () (forall @t18 (=> @t8 @t17))) % 0.40/0.60 (define @t20 () (not (tptp.apart_point_and_line @t4 @t16))) % 0.40/0.60 (define @t21 () (forall @t18 (=> @t8 @t20))) % 0.40/0.60 (define @t22 () (tptp.intersection_point @t1 @t4)) % 0.40/0.60 (define @t23 () (@var "V" $$unsorted)) % 0.40/0.60 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.40/0.60 (define @t25 () (@var "U" $$unsorted)) % 0.40/0.60 (define @t26 () (tptp.apart_point_and_line @t4 @t25)) % 0.40/0.60 (define @t27 () (tptp.apart_point_and_line @t1 @t23)) % 0.40/0.60 (define @t28 () (tptp.apart_point_and_line @t1 @t25)) % 0.40/0.60 (define @t29 () (or @t28 @t27 @t26 @t24)) % 0.40/0.60 (define @t30 () (tptp.distinct_lines @t25 @t23)) % 0.40/0.60 (define @t31 () (and @t8 @t30)) % 0.40/0.60 (define @t32 () (forall (@list @t1 @t4 @t25 @t23) (=> @t31 @t29))) % 0.40/0.60 (define @t33 () (tptp.apart_point_and_line @t3 @t4)) % 0.40/0.60 (define @t34 () (or @t6 @t33)) % 0.40/0.60 (define @t35 () (tptp.apart_point_and_line @t1 @t4)) % 0.40/0.60 (define @t36 () (forall @t9 (=> @t35 @t34))) % 0.40/0.60 (define @t37 () (tptp.apart_point_and_line @t1 @t3)) % 0.40/0.60 (define @t38 () (tptp.parallel_through_point @t4 @t1)) % 0.40/0.60 (define @t39 () (@var "M" $$unsorted)) % 0.40/0.60 (define @t40 () (@var "L" $$unsorted)) % 0.40/0.60 (define @t41 () (tptp.unorthogonal_lines @t40 @t39)) % 0.40/0.60 (define @t42 () (tptp.convergent_lines @t40 @t39)) % 0.40/0.60 (define @t43 () (@list @t40 @t39)) % 0.40/0.60 (define @t44 () (@var "N" $$unsorted)) % 0.40/0.60 (define @t45 () (tptp.unorthogonal_lines @t39 @t44)) % 0.40/0.60 (define @t46 () (tptp.convergent_lines @t39 @t44)) % 0.40/0.60 (define @t47 () (tptp.unorthogonal_lines @t40 @t44)) % 0.40/0.60 (define @t48 () (tptp.convergent_lines @t40 @t44)) % 0.40/0.60 (define @t49 () (@list @t40 @t39 @t44)) % 0.40/0.60 (define @t50 () (@var "A" $$unsorted)) % 0.40/0.60 (define @t51 () (tptp.orthogonal_through_point @t40 @t50)) % 0.40/0.60 (define @t52 () (@list @t50 @t40)) % 0.40/0.60 (define @t53 () (not @t41)) % 0.40/0.60 (define @t54 () (not @t42)) % 0.40/0.60 (define @t55 () (not @t46)) % 0.40/0.60 (define @t56 () (not @t47)) % 0.40/0.60 (define @t57 () (@var "B" $$unsorted)) % 0.40/0.60 (define @t58 () (tptp.point @t50)) % 0.40/0.60 (define @t59 () (tptp.line @t40)) % 0.40/0.60 (define @t60 () (and @t59 @t58)) % 0.40/0.60 (define @t61 () (@list @t40 @t50)) % 0.40/0.60 (define @t62 () (not @t8)) % 0.40/0.60 (define @t63 () (not @t35)) % 0.40/0.60 (define @t64 () (and @t6 (tptp.equal_lines @t16 (tptp.line_connecting @t1 @t3)))) % 0.40/0.60 (define @t65 () (tptp.equal_points @t4 @t3)) % 0.40/0.60 (define @t66 () (and @t8 @t65)) % 0.40/0.60 (define @t67 () (forall @t9 (=> @t66 @t64))) % 0.40/0.60 (define @t68 () (not @t67)) % 0.40/0.60 (define @t69 () (or @t63 @t6 @t33)) % 0.40/0.60 (define @t70 () (not @t30)) % 0.40/0.60 (define @t71 () (not @t65)) % 0.40/0.60 (define @t72 () (or @t62 @t71 @t64)) % 0.40/0.60 (define @t73 () (forall @t9 @t72)) % 0.40/0.60 (define @t74 () (@quantifiers_skolemize @t73 2)) % 0.40/0.60 (define @t75 () (@quantifiers_skolemize @t73 0)) % 0.40/0.60 (define @t76 () (tptp.line_connecting @t75 @t74)) % 0.40/0.60 (define @t77 () (@quantifiers_skolemize @t73 1)) % 0.40/0.60 (define @t78 () (tptp.line_connecting @t75 @t77)) % 0.40/0.60 (define @t79 () (@list @t75 @t74)) % 0.40/0.60 (define @t80 () (tptp.equal_points @t77 @t74)) % 0.40/0.60 (define @t81 () (tptp.equal_lines @t78 @t76)) % 0.40/0.60 (define @t82 () (tptp.distinct_points @t75 @t74)) % 0.40/0.60 (define @t83 () (and @t82 @t81)) % 0.40/0.60 (define @t84 () (not @t80)) % 0.40/0.60 (define @t85 () (tptp.distinct_points @t75 @t77)) % 0.40/0.60 (define @t86 () (not @t85)) % 0.40/0.60 (define @t87 () (or @t86 @t84 @t83)) % 0.40/0.60 (define @t88 () (@list true)) % 0.40/0.60 (define @t89 () (@list @t87)) % 0.40/0.60 (define @t90 () (tptp.distinct_points @t77 @t74)) % 0.40/0.60 (define @t91 () (not @t90)) % 0.40/0.60 (define @t92 () (= @t80 @t91)) % 0.40/0.60 (define @t93 () (@list false false)) % 0.40/0.60 (define @t94 () (or @t86 @t82 @t90)) % 0.40/0.60 (define @t95 () (tptp.apart_point_and_line @t75 @t76)) % 0.40/0.60 (define @t96 () (not @t95)) % 0.40/0.60 (define @t97 () (not @t82)) % 0.40/0.60 (define @t98 () (or @t97 @t96)) % 0.40/0.60 (define @t99 () (@list true false)) % 0.40/0.60 (define @t100 () (tptp.distinct_lines @t78 @t76)) % 0.40/0.60 (define @t101 () (not @t100)) % 0.40/0.60 (define @t102 () (= @t81 @t101)) % 0.40/0.60 (define @t103 () (not @t102)) % 0.40/0.60 (define @t104 () (@list @t75 @t77)) % 0.40/0.60 (define @t105 () (tptp.apart_point_and_line @t77 @t78)) % 0.40/0.60 (define @t106 () (not @t105)) % 0.40/0.60 (define @t107 () (or @t86 @t106)) % 0.40/0.60 (define @t108 () (tptp.apart_point_and_line @t75 @t78)) % 0.40/0.60 (define @t109 () (not @t108)) % 0.40/0.60 (define @t110 () (or @t86 @t109)) % 0.40/0.60 (define @t111 () (tptp.apart_point_and_line @t77 @t76)) % 0.40/0.60 (define @t112 () (or @t86 @t101 @t108 @t95 @t105 @t111)) % 0.40/0.60 (define @t113 () (tptp.apart_point_and_line @t74 @t76)) % 0.40/0.60 (define @t114 () (not @t113)) % 0.40/0.60 (define @t115 () (or @t97 @t114)) % 0.40/0.60 (define @t116 () (not @t111)) % 0.40/0.60 (define @t117 () (or @t116 @t90 @t113)) % 0.40/0.60 (define @t118 () (not @t117)) % 0.40/0.60 (define @t119 () (forall @t9 @t69)) % 0.40/0.60 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.40/0.60 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.40/0.60 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.40/0.60 (assume @p4 @t10) % 0.40/0.60 (assume @p5 (forall @t9 (=> @t12 (or (tptp.distinct_lines @t1 @t3) @t11)))) % 0.40/0.60 (assume @p6 (forall @t9 (=> @t15 (or @t14 @t13)))) % 0.40/0.60 (assume @p7 @t19) % 0.40/0.60 (assume @p8 @t21) % 0.40/0.60 (assume @p9 (forall @t18 (=> @t15 (not (tptp.apart_point_and_line @t22 @t1))))) % 0.40/0.60 (assume @p10 (forall @t18 (=> @t15 (not (tptp.apart_point_and_line @t22 @t4))))) % 0.40/0.60 (assume @p11 @t32) % 0.40/0.60 (assume @p12 @t36) % 0.40/0.60 (assume @p13 (forall @t9 (=> @t35 (or @t11 @t37)))) % 0.40/0.60 (assume @p14 (forall @t9 (=> @t15 (or @t11 @t14)))) % 0.40/0.60 (assume @p15 (forall @t18 (=> @t12 @t15))) % 0.40/0.60 (assume @p16 (forall @t18 (not (tptp.convergent_lines @t38 @t4)))) % 0.40/0.60 (assume @p17 (forall @t18 (not (tptp.apart_point_and_line @t1 @t38)))) % 0.40/0.60 (assume @p18 (forall @t9 (=> @t11 (or @t35 @t37 @t13)))) % 0.40/0.60 (assume @p19 (forall @t43 (or @t42 @t41))) % 0.40/0.60 (assume @p20 (forall @t49 (=> (and @t42 @t41) (or (and @t48 @t47) (and @t46 @t45))))) % 0.40/0.60 (assume @p21 (forall @t52 (not (tptp.unorthogonal_lines @t51 @t40)))) % 0.40/0.60 (assume @p22 (forall @t52 (not (tptp.apart_point_and_line @t50 @t51)))) % 0.40/0.60 (assume @p23 (forall (@list @t50 @t40 @t39 @t44) (=> (tptp.distinct_lines @t40 @t39) (or (tptp.apart_point_and_line @t50 @t40) (tptp.apart_point_and_line @t50 @t39) @t47 @t45)))) % 0.40/0.60 (assume @p24 (forall @t43 (not (and @t54 @t53)))) % 0.40/0.60 (assume @p25 (forall @t49 (=> (and (or @t54 @t53) (or (not @t48) @t56)) (or @t55 (not @t45))))) % 0.40/0.60 (assume @p26 (forall @t49 (=> (and @t53 @t56) @t55))) % 0.40/0.60 (assume @p27 (forall (@list @t50 @t57) (=> (and @t58 (tptp.point @t57) (tptp.distinct_points @t50 @t57)) (tptp.line (tptp.line_connecting @t50 @t57))))) % 0.40/0.60 (assume @p28 (forall @t43 (=> (and @t59 (tptp.line @t39) @t42) (tptp.point (tptp.intersection_point @t40 @t39))))) % 0.40/0.60 (assume @p29 (forall @t61 (=> @t60 (tptp.line (tptp.parallel_through_point @t40 @t50))))) % 0.40/0.60 (assume @p30 (forall @t61 (=> @t60 (tptp.line @t51)))) % 0.40/0.60 (assume @p31 (forall @t18 (= (tptp.equal_points @t1 @t4) @t62))) % 0.40/0.60 (assume @p32 (forall @t18 (= (tptp.equal_lines @t1 @t4) (not @t12)))) % 0.40/0.60 (assume @p33 (forall @t18 (= (tptp.parallel_lines @t1 @t4) (not @t15)))) % 0.40/0.60 (assume @p34 (forall @t18 (= (tptp.incident_point_and_line @t1 @t4) @t63))) % 0.40/0.60 (assume @p35 (forall @t18 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.40/0.60 (assume @p36 @t68) % 0.40/0.60 (assume @p37 true) % 0.40/0.60 (step @p38 :rule aci_norm :args ((= (or @t63 @t34) @t69))) % 0.40/0.60 (step @p39 :rule bool-impl-elim :args (@t35 @t34)) % 0.40/0.60 (step @p40 :rule trans :premises (@p39 @p38)) % 0.40/0.60 (step @p41 :rule cong :premises (@p40) :args (@t36)) % 0.40/0.60 (step @p42 :rule eq_resolve :premises (@p12 @p41)) % 0.40/0.60 (step @p43 :rule aci_norm :args ((= (or (or @t62 @t70) @t29) (or @t62 @t70 @t28 @t27 @t26 @t24)))) % 0.40/0.60 (step @p44 :rule refl :args (@t29)) % 0.40/0.60 (step @p45 :rule bool-and-de-morgan :args (@t8 @t30 true)) % 0.40/0.60 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t31) @t29))) % 0.40/0.60 (step @p47 :rule trans :premises (@p46 @p43)) % 0.40/0.60 (step @p48 :rule bool-impl-elim :args (@t31 @t29)) % 0.40/0.60 (step @p49 :rule trans :premises (@p48 @p47)) % 0.40/0.60 (step @p50 :rule cong :premises (@p49) :args (@t32)) % 0.40/0.60 (step @p51 :rule eq_resolve :premises (@p11 @p50)) % 0.40/0.60 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t75 @t77 @t78 @t76))) % 0.40/0.60 (step @p53 :rule bool-impl-elim :args (@t8 @t17)) % 0.40/0.60 (step @p54 :rule cong :premises (@p53) :args (@t19)) % 0.40/0.60 (step @p55 :rule eq_resolve :premises (@p7 @p54)) % 0.40/0.60 (step @p56 :rule instantiate :premises (@p55) :args (@t79)) % 0.40/0.60 (step @p57 :rule aci_norm :args ((= (or @t62 @t7) (or @t62 @t6 @t5)))) % 0.40/0.60 (step @p58 :rule bool-impl-elim :args (@t8 @t7)) % 0.40/0.60 (step @p59 :rule trans :premises (@p58 @p57)) % 0.40/0.60 (step @p60 :rule cong :premises (@p59) :args (@t10)) % 0.40/0.60 (step @p61 :rule eq_resolve :premises (@p4 @p60)) % 0.40/0.60 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t75 @t77 @t74))) % 0.40/0.60 (step @p63 :rule instantiate :premises (@p31) :args ((@list @t77 @t74))) % 0.40/0.60 (step @p64 :rule aci_norm :args ((= (or (or @t62 @t71) @t64) @t72))) % 0.40/0.60 (step @p65 :rule refl :args (@t64)) % 0.40/0.60 (step @p66 :rule bool-and-de-morgan :args (@t8 @t65 true)) % 0.40/0.60 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t66) @t64))) % 0.40/0.60 (step @p68 :rule trans :premises (@p67 @p64)) % 0.40/0.60 (step @p69 :rule bool-impl-elim :args (@t66 @t64)) % 0.40/0.60 (step @p70 :rule trans :premises (@p69 @p68)) % 0.40/0.60 (step @p71 :rule cong :premises (@p70) :args (@t67)) % 0.40/0.60 (step @p72 :rule cong :premises (@p71) :args (@t68)) % 0.40/0.60 (step @p73 :rule eq_resolve :premises (@p36 @p72)) % 0.40/0.60 (step @p74 :rule skolemize :premises (@p73)) % 0.40/0.60 (step @p75 :rule bool-double-not-elim :args (@t80)) % 0.40/0.60 (step @p76 :rule refl :args (@t87)) % 0.40/0.60 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t87 (not @t84)))) % 0.40/0.60 (step @p78 :rule cnf_or_neg :args (@t87 1)) % 0.40/0.60 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.40/0.60 (step @p80 :rule reordering :premises (@p79) :args ((or @t80 @t87))) % 0.40/0.60 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t80 @t88 @t89)) % 0.40/0.60 (step @p82 :rule cnf_equiv_pos1 :args (@t92)) % 0.40/0.60 (step @p83 :rule reordering :premises (@p82) :args ((or @t84 @t91 (not @t92)))) % 0.40/0.60 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p63) :args (@t91 @t93 (@list @t80 @t92))) % 0.40/0.60 (step @p85 :rule bool-double-not-elim :args (@t85)) % 0.40/0.60 (step @p86 :rule nary_cong :premises (@p76 @p85) :args ((or @t87 (not @t86)))) % 0.40/0.60 (step @p87 :rule cnf_or_neg :args (@t87 0)) % 0.40/0.60 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.40/0.60 (step @p89 :rule reordering :premises (@p88) :args ((or @t85 @t87))) % 0.40/0.60 (step @p90 :rule chain_m_resolution :premises (@p89 @p74) :args (@t85 @t88 @t89)) % 0.40/0.60 (step @p91 :rule cnf_or_pos :args (@t94)) % 0.40/0.60 (step @p92 :rule reordering :premises (@p91) :args ((or @t86 @t82 @t90 (not @t94)))) % 0.40/0.60 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p84 @p62) :args (@t82 (@list false true false) (@list @t85 @t90 @t94))) % 0.40/0.60 (step @p94 :rule cnf_or_pos :args (@t98)) % 0.40/0.60 (step @p95 :rule reordering :premises (@p94) :args ((or @t97 @t96 (not @t98)))) % 0.40/0.60 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p56) :args (@t96 @t93 (@list @t82 @t98))) % 0.40/0.60 (step @p97 :rule instantiate :premises (@p32) :args ((@list @t78 @t76))) % 0.40/0.60 (step @p98 :rule cnf_or_neg :args (@t87 2)) % 0.40/0.60 (step @p99 :rule chain_m_resolution :premises (@p98 @p74) :args ((not @t83) @t88 @t89)) % 0.40/0.60 (step @p100 :rule cnf_and_neg :args (@t83)) % 0.40/0.60 (step @p101 :rule chain_m_resolution :premises (@p100 @p99 @p93) :args ((not @t81) @t99 (@list @t83 @t82))) % 0.40/0.60 (step @p102 :rule bool-double-not-elim :args (@t100)) % 0.40/0.60 (step @p103 :rule refl :args (@t81)) % 0.40/0.60 (step @p104 :rule refl :args (@t103)) % 0.40/0.60 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args ((or @t103 @t81 (not @t101)))) % 0.40/0.60 (step @p106 :rule cnf_equiv_pos2 :args (@t102)) % 0.40/0.60 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.40/0.60 (step @p108 :rule reordering :premises (@p107) :args ((or @t81 @t100 @t103))) % 0.40/0.60 (step @p109 :rule chain_m_resolution :premises (@p108 @p101 @p97) :args (@t100 @t99 (@list @t81 @t102))) % 0.40/0.60 (step @p110 :rule bool-impl-elim :args (@t8 @t20)) % 0.40/0.60 (step @p111 :rule cong :premises (@p110) :args (@t21)) % 0.40/0.60 (step @p112 :rule eq_resolve :premises (@p8 @p111)) % 0.40/0.60 (step @p113 :rule instantiate :premises (@p112) :args (@t104)) % 0.40/0.60 (step @p114 :rule cnf_or_pos :args (@t107)) % 0.40/0.60 (step @p115 :rule reordering :premises (@p114) :args ((or @t86 @t106 (not @t107)))) % 0.40/0.60 (step @p116 :rule chain_m_resolution :premises (@p115 @p90 @p113) :args (@t106 @t93 (@list @t85 @t107))) % 0.40/0.60 (step @p117 :rule instantiate :premises (@p55) :args (@t104)) % 0.40/0.60 (step @p118 :rule cnf_or_pos :args (@t110)) % 0.40/0.60 (step @p119 :rule reordering :premises (@p118) :args ((or @t86 @t109 (not @t110)))) % 0.40/0.60 (step @p120 :rule chain_m_resolution :premises (@p119 @p90 @p117) :args (@t109 @t93 (@list @t85 @t110))) % 0.40/0.60 (step @p121 :rule cnf_or_pos :args (@t112)) % 0.40/0.60 (step @p122 :rule reordering :premises (@p121) :args ((or @t86 @t108 @t105 @t101 @t95 @t111 (not @t112)))) % 0.40/0.60 (step @p123 :rule chain_m_resolution :premises (@p122 @p90 @p120 @p116 @p109 @p96 @p52) :args (@t111 (@list false true true false true false) (@list @t85 @t108 @t105 @t100 @t95 @t112))) % 0.40/0.60 (step @p124 :rule instantiate :premises (@p112) :args (@t79)) % 0.40/0.60 (step @p125 :rule cnf_or_pos :args (@t115)) % 0.40/0.60 (step @p126 :rule reordering :premises (@p125) :args ((or @t97 @t114 (not @t115)))) % 0.40/0.60 (step @p127 :rule chain_m_resolution :premises (@p126 @p93 @p124) :args (@t114 @t93 (@list @t82 @t115))) % 0.40/0.60 (step @p128 :rule cnf_or_pos :args (@t117)) % 0.40/0.60 (step @p129 :rule reordering :premises (@p128) :args ((or @t90 @t113 @t116 @t118))) % 0.40/0.60 (step @p130 :rule chain_m_resolution :premises (@p129 @p84 @p127 @p123) :args (@t118 (@list true true false) (@list @t90 @t113 @t111))) % 0.40/0.60 (assume-push @p137 @t119) % 0.40/0.60 (step @p132 :rule instantiate :premises (@p42) :args ((@list @t77 @t76 @t74))) % 0.40/0.60 (step-pop @p138 :rule scope :premises (@p132)) % 0.40/0.60 (step @p133 :rule process_scope :premises (@p138) :args (@t117)) % 0.40/0.60 (step @p135 :rule implies_elim :premises (@p133)) % 0.40/0.60 (step @p136 false :rule chain_m_resolution :premises (@p135 @p130 @p42) :args (false @t99 (@list @t117 @t119))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------