%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO218+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 : n004.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 08:16:48 AM UTC 2026 % Result : Theorem 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO218+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.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 23:40:38 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.40/0.59 (define @t2 () (@list @t1)) % 0.40/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.40/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.40/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.40/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.40/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.40/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.40/0.59 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.40/0.59 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.40/0.59 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.40/0.59 (define @t12 () (or @t11 @t10)) % 0.40/0.59 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.40/0.59 (define @t14 () (forall @t7 (=> @t13 @t12))) % 0.40/0.59 (define @t15 () (tptp.line_connecting @t1 @t4)) % 0.40/0.59 (define @t16 () (@list @t1 @t4)) % 0.40/0.59 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.40/0.59 (define @t18 () (@var "V" $$unsorted)) % 0.40/0.59 (define @t19 () (@var "U" $$unsorted)) % 0.40/0.59 (define @t20 () (tptp.apart_point_and_line @t1 @t4)) % 0.40/0.59 (define @t21 () (tptp.apart_point_and_line @t1 @t3)) % 0.40/0.59 (define @t22 () (tptp.parallel_through_point @t4 @t1)) % 0.40/0.59 (define @t23 () (@var "M" $$unsorted)) % 0.40/0.59 (define @t24 () (@var "L" $$unsorted)) % 0.40/0.59 (define @t25 () (tptp.unorthogonal_lines @t24 @t23)) % 0.40/0.59 (define @t26 () (tptp.convergent_lines @t24 @t23)) % 0.40/0.59 (define @t27 () (@list @t24 @t23)) % 0.40/0.59 (define @t28 () (@var "N" $$unsorted)) % 0.40/0.59 (define @t29 () (tptp.unorthogonal_lines @t23 @t28)) % 0.40/0.59 (define @t30 () (tptp.convergent_lines @t23 @t28)) % 0.40/0.59 (define @t31 () (tptp.unorthogonal_lines @t24 @t28)) % 0.40/0.59 (define @t32 () (tptp.convergent_lines @t24 @t28)) % 0.40/0.59 (define @t33 () (and @t32 @t31)) % 0.40/0.59 (define @t34 () (and @t26 @t25)) % 0.40/0.59 (define @t35 () (@list @t24 @t23 @t28)) % 0.40/0.59 (define @t36 () (@var "A" $$unsorted)) % 0.40/0.59 (define @t37 () (tptp.orthogonal_through_point @t24 @t36)) % 0.40/0.59 (define @t38 () (@list @t36 @t24)) % 0.40/0.59 (define @t39 () (not @t25)) % 0.40/0.59 (define @t40 () (not @t26)) % 0.40/0.59 (define @t41 () (not @t29)) % 0.40/0.59 (define @t42 () (not @t30)) % 0.40/0.59 (define @t43 () (or @t42 @t41)) % 0.40/0.59 (define @t44 () (not @t31)) % 0.40/0.59 (define @t45 () (not @t32)) % 0.40/0.59 (define @t46 () (or @t45 @t44)) % 0.40/0.59 (define @t47 () (or @t40 @t39)) % 0.40/0.59 (define @t48 () (and @t47 @t46)) % 0.40/0.59 (define @t49 () (forall @t35 (=> @t48 @t43))) % 0.40/0.59 (define @t50 () (and @t39 @t44)) % 0.40/0.59 (define @t51 () (forall @t35 (=> @t50 @t42))) % 0.40/0.59 (define @t52 () (@var "B" $$unsorted)) % 0.40/0.59 (define @t53 () (tptp.point @t36)) % 0.40/0.59 (define @t54 () (tptp.line @t24)) % 0.40/0.59 (define @t55 () (and @t54 @t53)) % 0.40/0.59 (define @t56 () (@list @t24 @t36)) % 0.40/0.59 (define @t57 () (not @t13)) % 0.40/0.59 (define @t58 () (tptp.orthogonal_lines @t23 @t28)) % 0.40/0.59 (define @t59 () (tptp.orthogonal_lines @t24 @t28)) % 0.40/0.59 (define @t60 () (tptp.parallel_lines @t24 @t23)) % 0.40/0.59 (define @t61 () (and @t60 @t59)) % 0.40/0.59 (define @t62 () (forall @t35 (=> @t61 @t58))) % 0.40/0.59 (define @t63 () (not @t62)) % 0.40/0.59 (define @t64 () (or @t57 @t11 @t10)) % 0.40/0.59 (define @t65 () (not @t59)) % 0.40/0.59 (define @t66 () (not @t60)) % 0.40/0.59 (define @t67 () (or @t66 @t65 @t58)) % 0.40/0.59 (define @t68 () (forall @t35 @t67)) % 0.40/0.59 (define @t69 () (@quantifiers_skolemize @t68 1)) % 0.40/0.59 (define @t70 () (@quantifiers_skolemize @t68 2)) % 0.40/0.59 (define @t71 () (@quantifiers_skolemize @t68 0)) % 0.40/0.59 (define @t72 () (@list @t71 @t70)) % 0.40/0.59 (define @t73 () (tptp.orthogonal_lines @t71 @t70)) % 0.40/0.59 (define @t74 () (tptp.orthogonal_lines @t69 @t70)) % 0.40/0.59 (define @t75 () (not @t73)) % 0.40/0.59 (define @t76 () (tptp.parallel_lines @t71 @t69)) % 0.40/0.59 (define @t77 () (not @t76)) % 0.40/0.59 (define @t78 () (or @t77 @t75 @t74)) % 0.40/0.59 (define @t79 () (@list true)) % 0.40/0.59 (define @t80 () (@list @t78)) % 0.40/0.59 (define @t81 () (tptp.unorthogonal_lines @t71 @t70)) % 0.40/0.59 (define @t82 () (not @t81)) % 0.40/0.59 (define @t83 () (= @t73 @t82)) % 0.40/0.59 (define @t84 () (@list false false)) % 0.40/0.59 (define @t85 () (tptp.convergent_lines @t71 @t70)) % 0.40/0.59 (define @t86 () (or @t85 @t81)) % 0.40/0.59 (define @t87 () (@list true false)) % 0.40/0.59 (define @t88 () (tptp.convergent_lines @t71 @t69)) % 0.40/0.59 (define @t89 () (not @t88)) % 0.40/0.59 (define @t90 () (= @t76 @t89)) % 0.40/0.59 (define @t91 () (tptp.convergent_lines @t70 @t69)) % 0.40/0.59 (define @t92 () (not @t85)) % 0.40/0.59 (define @t93 () (or @t92 @t88 @t91)) % 0.40/0.59 (define @t94 () (not @t44)) % 0.40/0.59 (define @t95 () (not @t39)) % 0.40/0.59 (define @t96 () (and @t85 @t81)) % 0.40/0.59 (define @t97 () (not @t96)) % 0.40/0.59 (define @t98 () (and @t88 (tptp.unorthogonal_lines @t71 @t69))) % 0.40/0.59 (define @t99 () (not @t98)) % 0.40/0.59 (define @t100 () (tptp.unorthogonal_lines @t69 @t70)) % 0.40/0.59 (define @t101 () (not @t100)) % 0.40/0.59 (define @t102 () (= @t74 @t101)) % 0.40/0.59 (define @t103 () (not @t102)) % 0.40/0.59 (define @t104 () (tptp.convergent_lines @t69 @t70)) % 0.40/0.59 (define @t105 () (not @t104)) % 0.40/0.59 (define @t106 () (or @t98 @t96 @t105 @t101)) % 0.40/0.59 (define @t107 () (tptp.convergent_lines @t70 @t70)) % 0.40/0.59 (define @t108 () (not @t107)) % 0.40/0.59 (define @t109 () (or @t81 @t81 @t108)) % 0.40/0.59 (define @t110 () (not @t91)) % 0.40/0.59 (define @t111 () (or @t110 @t107 @t104)) % 0.40/0.59 (define @t112 () (not @t111)) % 0.40/0.59 (define @t113 () (forall @t7 @t64)) % 0.40/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.40/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.40/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.40/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.40/0.59 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.40/0.59 (assume @p6 @t14) % 0.40/0.59 (assume @p7 (forall @t16 (=> @t6 (not (tptp.apart_point_and_line @t1 @t15))))) % 0.40/0.59 (assume @p8 (forall @t16 (=> @t6 (not (tptp.apart_point_and_line @t4 @t15))))) % 0.40/0.59 (assume @p9 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t17 @t1))))) % 0.40/0.59 (assume @p10 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t17 @t4))))) % 0.40/0.59 (assume @p11 (forall (@list @t1 @t4 @t19 @t18) (=> (and @t6 (tptp.distinct_lines @t19 @t18)) (or (tptp.apart_point_and_line @t1 @t19) (tptp.apart_point_and_line @t1 @t18) (tptp.apart_point_and_line @t4 @t19) (tptp.apart_point_and_line @t4 @t18))))) % 0.40/0.59 (assume @p12 (forall @t7 (=> @t20 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.40/0.59 (assume @p13 (forall @t7 (=> @t20 (or @t8 @t21)))) % 0.40/0.59 (assume @p14 (forall @t7 (=> @t13 (or @t8 @t11)))) % 0.40/0.59 (assume @p15 (forall @t16 (=> @t9 @t13))) % 0.40/0.59 (assume @p16 (forall @t16 (not (tptp.convergent_lines @t22 @t4)))) % 0.40/0.59 (assume @p17 (forall @t16 (not (tptp.apart_point_and_line @t1 @t22)))) % 0.40/0.59 (assume @p18 (forall @t7 (=> @t8 (or @t20 @t21 @t10)))) % 0.40/0.59 (assume @p19 (forall @t27 (or @t26 @t25))) % 0.40/0.59 (assume @p20 (forall @t35 (=> @t34 (or @t33 (and @t30 @t29))))) % 0.40/0.59 (assume @p21 (forall @t38 (not (tptp.unorthogonal_lines @t37 @t24)))) % 0.40/0.59 (assume @p22 (forall @t38 (not (tptp.apart_point_and_line @t36 @t37)))) % 0.40/0.59 (assume @p23 (forall (@list @t36 @t24 @t23 @t28) (=> (tptp.distinct_lines @t24 @t23) (or (tptp.apart_point_and_line @t36 @t24) (tptp.apart_point_and_line @t36 @t23) @t31 @t29)))) % 0.40/0.59 (assume @p24 (forall @t27 (not (and @t40 @t39)))) % 0.40/0.59 (assume @p25 @t49) % 0.40/0.59 (assume @p26 @t51) % 0.40/0.59 (assume @p27 (forall (@list @t36 @t52) (=> (and @t53 (tptp.point @t52) (tptp.distinct_points @t36 @t52)) (tptp.line (tptp.line_connecting @t36 @t52))))) % 0.40/0.59 (assume @p28 (forall @t27 (=> (and @t54 (tptp.line @t23) @t26) (tptp.point (tptp.intersection_point @t24 @t23))))) % 0.40/0.59 (assume @p29 (forall @t56 (=> @t55 (tptp.line (tptp.parallel_through_point @t24 @t36))))) % 0.40/0.59 (assume @p30 (forall @t56 (=> @t55 (tptp.line @t37)))) % 0.40/0.59 (assume @p31 (forall @t16 (= (tptp.equal_points @t1 @t4) (not @t6)))) % 0.40/0.59 (assume @p32 (forall @t16 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.40/0.59 (assume @p33 (forall @t16 (= (tptp.parallel_lines @t1 @t4) @t57))) % 0.40/0.59 (assume @p34 (forall @t16 (= (tptp.incident_point_and_line @t1 @t4) (not @t20)))) % 0.40/0.59 (assume @p35 (forall @t16 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.40/0.59 (assume @p36 @t63) % 0.40/0.59 (assume @p37 true) % 0.40/0.59 (step @p38 :rule aci_norm :args ((= (or @t57 @t12) @t64))) % 0.40/0.59 (step @p39 :rule bool-impl-elim :args (@t13 @t12)) % 0.40/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.40/0.59 (step @p41 :rule cong :premises (@p40) :args (@t14)) % 0.40/0.59 (step @p42 :rule eq_resolve :premises (@p6 @p41)) % 0.40/0.59 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t71 @t70 @t69))) % 0.40/0.59 (step @p44 :rule instantiate :premises (@p19) :args (@t72)) % 0.40/0.59 (step @p45 :rule instantiate :premises (@p35) :args (@t72)) % 0.40/0.59 (step @p46 :rule aci_norm :args ((= (or (or @t66 @t65) @t58) @t67))) % 0.40/0.59 (step @p47 :rule refl :args (@t58)) % 0.40/0.59 (step @p48 :rule bool-and-de-morgan :args (@t60 @t59 true)) % 0.40/0.59 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t61) @t58))) % 0.40/0.59 (step @p50 :rule trans :premises (@p49 @p46)) % 0.40/0.59 (step @p51 :rule bool-impl-elim :args (@t61 @t58)) % 0.40/0.59 (step @p52 :rule trans :premises (@p51 @p50)) % 0.40/0.59 (step @p53 :rule cong :premises (@p52) :args (@t62)) % 0.40/0.59 (step @p54 :rule cong :premises (@p53) :args (@t63)) % 0.40/0.59 (step @p55 :rule eq_resolve :premises (@p36 @p54)) % 0.40/0.59 (step @p56 :rule skolemize :premises (@p55)) % 0.40/0.59 (step @p57 :rule bool-double-not-elim :args (@t73)) % 0.40/0.59 (step @p58 :rule refl :args (@t78)) % 0.40/0.59 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t78 (not @t75)))) % 0.40/0.59 (step @p60 :rule cnf_or_neg :args (@t78 1)) % 0.40/0.59 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.40/0.59 (step @p62 :rule reordering :premises (@p61) :args ((or @t73 @t78))) % 0.40/0.59 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t73 @t79 @t80)) % 0.40/0.59 (step @p64 :rule cnf_equiv_pos1 :args (@t83)) % 0.40/0.59 (step @p65 :rule reordering :premises (@p64) :args ((or @t75 @t82 (not @t83)))) % 0.40/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p45) :args (@t82 @t84 (@list @t73 @t83))) % 0.40/0.59 (step @p67 :rule cnf_or_pos :args (@t86)) % 0.40/0.59 (step @p68 :rule reordering :premises (@p67) :args ((or @t81 @t85 (not @t86)))) % 0.40/0.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p44) :args (@t85 @t87 (@list @t81 @t86))) % 0.40/0.59 (step @p70 :rule instantiate :premises (@p33) :args ((@list @t71 @t69))) % 0.40/0.59 (step @p71 :rule bool-double-not-elim :args (@t76)) % 0.40/0.59 (step @p72 :rule nary_cong :premises (@p58 @p71) :args ((or @t78 (not @t77)))) % 0.40/0.59 (step @p73 :rule cnf_or_neg :args (@t78 0)) % 0.40/0.59 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.40/0.59 (step @p75 :rule reordering :premises (@p74) :args ((or @t76 @t78))) % 0.40/0.59 (step @p76 :rule chain_m_resolution :premises (@p75 @p56) :args (@t76 @t79 @t80)) % 0.40/0.59 (step @p77 :rule cnf_equiv_pos1 :args (@t90)) % 0.40/0.59 (step @p78 :rule reordering :premises (@p77) :args ((or @t77 @t89 (not @t90)))) % 0.40/0.59 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p70) :args (@t89 @t84 (@list @t76 @t90))) % 0.40/0.59 (step @p80 :rule cnf_or_pos :args (@t93)) % 0.40/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t88 @t92 @t91 (not @t93)))) % 0.40/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p69 @p43) :args (@t91 (@list true false false) (@list @t88 @t85 @t93))) % 0.40/0.59 (step @p83 :rule aci_norm :args ((= (or (or @t34 @t33) @t43) (or @t34 @t33 @t42 @t41)))) % 0.40/0.59 (step @p84 :rule refl :args (@t43)) % 0.40/0.59 (step @p85 :rule bool-double-not-elim :args (@t31)) % 0.40/0.59 (step @p86 :rule bool-double-not-elim :args (@t32)) % 0.40/0.59 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((and (not @t45) @t94))) % 0.40/0.59 (step @p88 :rule bool-or-de-morgan :args (@t45 @t44 false)) % 0.40/0.59 (step @p89 :rule trans :premises (@p88 @p87)) % 0.40/0.59 (step @p90 :rule bool-double-not-elim :args (@t25)) % 0.40/0.59 (step @p91 :rule bool-double-not-elim :args (@t26)) % 0.40/0.59 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((and (not @t40) @t95))) % 0.40/0.59 (step @p93 :rule bool-or-de-morgan :args (@t40 @t39 false)) % 0.40/0.59 (step @p94 :rule trans :premises (@p93 @p92)) % 0.40/0.59 (step @p95 :rule nary_cong :premises (@p94 @p89) :args ((or (not @t47) (not @t46)))) % 0.40/0.59 (step @p96 :rule bool-and-de-morgan :args (@t47 @t46 true)) % 0.40/0.59 (step @p97 :rule trans :premises (@p96 @p95)) % 0.40/0.59 (step @p98 :rule nary_cong :premises (@p97 @p84) :args ((or (not @t48) @t43))) % 0.40/0.59 (step @p99 :rule trans :premises (@p98 @p83)) % 0.40/0.59 (step @p100 :rule bool-impl-elim :args (@t48 @t43)) % 0.40/0.59 (step @p101 :rule trans :premises (@p100 @p99)) % 0.40/0.59 (step @p102 :rule cong :premises (@p101) :args (@t49)) % 0.40/0.59 (step @p103 :rule eq_resolve :premises (@p25 @p102)) % 0.40/0.59 (step @p104 :rule instantiate :premises (@p103) :args ((@list @t71 @t69 @t70))) % 0.40/0.59 (step @p105 :rule cnf_and_pos :args (@t96 1)) % 0.40/0.59 (step @p106 :rule reordering :premises (@p105) :args ((or @t81 @t97))) % 0.40/0.59 (step @p107 :rule chain_m_resolution :premises (@p106 @p66) :args (@t97 @t79 (@list @t81))) % 0.40/0.59 (step @p108 :rule cnf_and_pos :args (@t98 0)) % 0.40/0.59 (step @p109 :rule reordering :premises (@p108) :args ((or @t88 @t99))) % 0.40/0.59 (step @p110 :rule chain_m_resolution :premises (@p109 @p79) :args (@t99 @t79 (@list @t88))) % 0.40/0.59 (step @p111 :rule instantiate :premises (@p35) :args ((@list @t69 @t70))) % 0.40/0.59 (step @p112 :rule cnf_or_neg :args (@t78 2)) % 0.40/0.59 (step @p113 :rule chain_m_resolution :premises (@p112 @p56) :args ((not @t74) @t79 @t80)) % 0.40/0.59 (step @p114 :rule bool-double-not-elim :args (@t100)) % 0.40/0.59 (step @p115 :rule refl :args (@t74)) % 0.40/0.59 (step @p116 :rule refl :args (@t103)) % 0.40/0.59 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args ((or @t103 @t74 (not @t101)))) % 0.40/0.59 (step @p118 :rule cnf_equiv_pos2 :args (@t102)) % 0.40/0.59 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.40/0.59 (step @p120 :rule reordering :premises (@p119) :args ((or @t74 @t100 @t103))) % 0.40/0.59 (step @p121 :rule chain_m_resolution :premises (@p120 @p113 @p111) :args (@t100 @t87 (@list @t74 @t102))) % 0.40/0.59 (step @p122 :rule cnf_or_pos :args (@t106)) % 0.40/0.59 (step @p123 :rule reordering :premises (@p122) :args ((or @t101 @t98 @t96 @t105 (not @t106)))) % 0.40/0.59 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p110 @p107 @p104) :args (@t105 (@list false true true false) (@list @t100 @t98 @t96 @t106))) % 0.40/0.59 (step @p125 :rule aci_norm :args ((= (or (or @t25 @t31) @t42) (or @t25 @t31 @t42)))) % 0.40/0.59 (step @p126 :rule refl :args (@t42)) % 0.40/0.59 (step @p127 :rule nary_cong :premises (@p90 @p85) :args ((or @t95 @t94))) % 0.40/0.59 (step @p128 :rule bool-and-de-morgan :args (@t39 @t44 true)) % 0.40/0.59 (step @p129 :rule trans :premises (@p128 @p127)) % 0.40/0.59 (step @p130 :rule nary_cong :premises (@p129 @p126) :args ((or (not @t50) @t42))) % 0.40/0.59 (step @p131 :rule trans :premises (@p130 @p125)) % 0.40/0.59 (step @p132 :rule bool-impl-elim :args (@t50 @t42)) % 0.40/0.59 (step @p133 :rule trans :premises (@p132 @p131)) % 0.40/0.59 (step @p134 :rule cong :premises (@p133) :args (@t51)) % 0.40/0.59 (step @p135 :rule eq_resolve :premises (@p26 @p134)) % 0.40/0.59 (step @p136 :rule instantiate :premises (@p135) :args ((@list @t71 @t70 @t70))) % 0.40/0.59 (step @p137 :rule cnf_or_pos :args (@t109)) % 0.40/0.59 (step @p138 :rule factoring :premises (@p137)) % 0.40/0.59 (step @p139 :rule reordering :premises (@p138) :args ((or @t81 @t108 (not @t109)))) % 0.40/0.59 (step @p140 :rule chain_m_resolution :premises (@p139 @p66 @p136) :args (@t108 @t87 (@list @t81 @t109))) % 0.40/0.59 (step @p141 :rule cnf_or_pos :args (@t111)) % 0.40/0.59 (step @p142 :rule reordering :premises (@p141) :args ((or @t107 @t104 @t110 @t112))) % 0.40/0.59 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p124 @p82) :args (@t112 (@list true true false) (@list @t107 @t104 @t91))) % 0.40/0.59 (assume-push @p150 @t113) % 0.40/0.59 (step @p145 :rule instantiate :premises (@p42) :args ((@list @t70 @t69 @t70))) % 0.40/0.59 (step-pop @p151 :rule scope :premises (@p145)) % 0.40/0.59 (step @p146 :rule process_scope :premises (@p151) :args (@t111)) % 0.40/0.59 (step @p148 :rule implies_elim :premises (@p146)) % 0.40/0.59 (step @p149 false :rule chain_m_resolution :premises (@p148 @p143 @p42) :args (false @t87 (@list @t111 @t113))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------