%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO225+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 : n010.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 08:16:50 AM UTC 2026 % Result : Theorem 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO225+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 23:40:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.59 % SZS status Theorem % 0.41/0.59 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (declare-sort $$unsorted 0) % 0.41/0.59 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.41/0.59 (define @t2 () (@list @t1)) % 0.41/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.41/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.41/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.41/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.41/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.41/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.41/0.59 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.41/0.59 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.41/0.59 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.41/0.59 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.41/0.59 (define @t13 () (tptp.line_connecting @t1 @t4)) % 0.41/0.59 (define @t14 () (not (tptp.apart_point_and_line @t1 @t13))) % 0.41/0.59 (define @t15 () (@list @t1 @t4)) % 0.41/0.59 (define @t16 () (forall @t15 (=> @t6 @t14))) % 0.41/0.59 (define @t17 () (not (tptp.apart_point_and_line @t4 @t13))) % 0.41/0.59 (define @t18 () (forall @t15 (=> @t6 @t17))) % 0.41/0.59 (define @t19 () (tptp.intersection_point @t1 @t4)) % 0.41/0.59 (define @t20 () (@var "V" $$unsorted)) % 0.41/0.59 (define @t21 () (@var "U" $$unsorted)) % 0.41/0.59 (define @t22 () (tptp.apart_point_and_line @t1 @t4)) % 0.41/0.59 (define @t23 () (tptp.apart_point_and_line @t1 @t3)) % 0.41/0.59 (define @t24 () (tptp.parallel_through_point @t4 @t1)) % 0.41/0.59 (define @t25 () (@var "M" $$unsorted)) % 0.41/0.59 (define @t26 () (@var "L" $$unsorted)) % 0.41/0.59 (define @t27 () (tptp.unorthogonal_lines @t26 @t25)) % 0.41/0.59 (define @t28 () (tptp.convergent_lines @t26 @t25)) % 0.41/0.59 (define @t29 () (@list @t26 @t25)) % 0.41/0.59 (define @t30 () (@var "N" $$unsorted)) % 0.41/0.59 (define @t31 () (tptp.unorthogonal_lines @t25 @t30)) % 0.41/0.59 (define @t32 () (tptp.convergent_lines @t25 @t30)) % 0.41/0.59 (define @t33 () (tptp.unorthogonal_lines @t26 @t30)) % 0.41/0.59 (define @t34 () (tptp.convergent_lines @t26 @t30)) % 0.41/0.59 (define @t35 () (@list @t26 @t25 @t30)) % 0.41/0.59 (define @t36 () (@var "A" $$unsorted)) % 0.41/0.59 (define @t37 () (tptp.orthogonal_through_point @t26 @t36)) % 0.41/0.59 (define @t38 () (@list @t36 @t26)) % 0.41/0.59 (define @t39 () (not @t27)) % 0.41/0.59 (define @t40 () (not @t28)) % 0.41/0.59 (define @t41 () (not @t32)) % 0.41/0.59 (define @t42 () (not @t33)) % 0.41/0.59 (define @t43 () (@var "B" $$unsorted)) % 0.41/0.59 (define @t44 () (tptp.distinct_points @t36 @t43)) % 0.41/0.59 (define @t45 () (tptp.point @t43)) % 0.41/0.59 (define @t46 () (tptp.point @t36)) % 0.41/0.59 (define @t47 () (and @t46 @t45 @t44)) % 0.41/0.59 (define @t48 () (@list @t36 @t43)) % 0.41/0.59 (define @t49 () (tptp.line @t26)) % 0.41/0.59 (define @t50 () (and @t49 @t46)) % 0.41/0.59 (define @t51 () (@list @t26 @t36)) % 0.41/0.59 (define @t52 () (forall @t15 (= (tptp.incident_point_and_line @t1 @t4) (not @t22)))) % 0.41/0.59 (define @t53 () (tptp.incident_point_and_line @t43 @t1)) % 0.41/0.59 (define @t54 () (tptp.incident_point_and_line @t36 @t1)) % 0.41/0.59 (define @t55 () (and @t54 @t53)) % 0.41/0.59 (define @t56 () (tptp.line @t1)) % 0.41/0.59 (define @t57 () (=> @t56 @t55)) % 0.41/0.59 (define @t58 () (exists @t2 @t57)) % 0.41/0.59 (define @t59 () (=> @t47 @t58)) % 0.41/0.59 (define @t60 () (forall @t48 @t59)) % 0.41/0.59 (define @t61 () (not @t60)) % 0.41/0.59 (define @t62 () (@var "BOUND_VARIABLE_7723" $$unsorted)) % 0.41/0.59 (define @t63 () (@list @t62)) % 0.41/0.59 (define @t64 () (forall @t63 (or (not (tptp.incident_point_and_line @t36 @t62)) (not (tptp.incident_point_and_line @t43 @t62))))) % 0.41/0.59 (define @t65 () (not @t64)) % 0.41/0.59 (define @t66 () (not @t44)) % 0.41/0.59 (define @t67 () (not @t45)) % 0.41/0.59 (define @t68 () (not @t46)) % 0.41/0.59 (define @t69 () (or @t68 @t67 @t66 @t65)) % 0.41/0.59 (define @t70 () (forall @t48 @t69)) % 0.41/0.59 (define @t71 () (@var "BOUND_VARIABLE_7718" $$unsorted)) % 0.41/0.59 (define @t72 () (forall (@list @t71) (tptp.line @t71))) % 0.41/0.59 (define @t73 () (not @t72)) % 0.41/0.59 (define @t74 () (or @t73 @t69)) % 0.41/0.59 (define @t75 () (or @t68 @t67 @t66 @t73 @t65)) % 0.41/0.59 (define @t76 () (or @t68 @t67 @t66)) % 0.41/0.59 (define @t77 () (not (and @t72 @t64))) % 0.41/0.59 (define @t78 () (or (not @t54) (not @t53))) % 0.41/0.59 (define @t79 () (forall @t2 @t78)) % 0.41/0.59 (define @t80 () (@list @t1)) % 0.41/0.59 (define @t81 () (forall @t2 @t56)) % 0.41/0.59 (define @t82 () (and @t81 @t79)) % 0.41/0.59 (define @t83 () (forall @t2 (not @t57))) % 0.41/0.59 (define @t84 () (not @t83)) % 0.41/0.59 (define @t85 () (@quantifiers_skolemize @t70 1)) % 0.41/0.59 (define @t86 () (@quantifiers_skolemize @t70 0)) % 0.41/0.59 (define @t87 () (forall @t63 (or (not (tptp.incident_point_and_line @t86 @t62)) (not (tptp.incident_point_and_line @t85 @t62))))) % 0.41/0.59 (define @t88 () (not @t87)) % 0.41/0.59 (define @t89 () (tptp.distinct_points @t86 @t85)) % 0.41/0.59 (define @t90 () (not @t89)) % 0.41/0.59 (define @t91 () (or (not (tptp.point @t86)) (not (tptp.point @t85)) @t90 @t88)) % 0.41/0.59 (define @t92 () (@list true)) % 0.41/0.59 (define @t93 () (@list @t91)) % 0.41/0.59 (define @t94 () (tptp.line_connecting @t86 @t85)) % 0.41/0.59 (define @t95 () (tptp.incident_point_and_line @t85 @t94)) % 0.41/0.59 (define @t96 () (tptp.apart_point_and_line @t85 @t94)) % 0.41/0.59 (define @t97 () (not @t96)) % 0.41/0.59 (define @t98 () (= @t95 @t97)) % 0.41/0.59 (define @t99 () (= @t97 @t95)) % 0.41/0.59 (define @t100 () (@list false)) % 0.41/0.59 (define @t101 () (@list @t52)) % 0.41/0.59 (define @t102 () (@list @t86 @t85)) % 0.41/0.59 (define @t103 () (or @t90 @t97)) % 0.41/0.59 (define @t104 () (@list false false)) % 0.41/0.59 (define @t105 () (not @t99)) % 0.41/0.59 (define @t106 () (@list true false)) % 0.41/0.59 (define @t107 () (tptp.incident_point_and_line @t86 @t94)) % 0.41/0.59 (define @t108 () (tptp.apart_point_and_line @t86 @t94)) % 0.41/0.59 (define @t109 () (not @t108)) % 0.41/0.59 (define @t110 () (= @t107 @t109)) % 0.41/0.59 (define @t111 () (= @t109 @t107)) % 0.41/0.59 (define @t112 () (or @t90 @t109)) % 0.41/0.59 (define @t113 () (not @t111)) % 0.41/0.59 (define @t114 () (not @t95)) % 0.41/0.59 (define @t115 () (not @t107)) % 0.41/0.59 (define @t116 () (or @t115 @t114)) % 0.41/0.59 (define @t117 () (not @t116)) % 0.41/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.41/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.41/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.41/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.41/0.59 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.41/0.59 (assume @p6 (forall @t7 (=> @t12 (or @t11 @t10)))) % 0.41/0.59 (assume @p7 @t16) % 0.41/0.59 (assume @p8 @t18) % 0.41/0.59 (assume @p9 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t19 @t1))))) % 0.41/0.59 (assume @p10 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t19 @t4))))) % 0.41/0.59 (assume @p11 (forall (@list @t1 @t4 @t21 @t20) (=> (and @t6 (tptp.distinct_lines @t21 @t20)) (or (tptp.apart_point_and_line @t1 @t21) (tptp.apart_point_and_line @t1 @t20) (tptp.apart_point_and_line @t4 @t21) (tptp.apart_point_and_line @t4 @t20))))) % 0.41/0.59 (assume @p12 (forall @t7 (=> @t22 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.41/0.59 (assume @p13 (forall @t7 (=> @t22 (or @t8 @t23)))) % 0.41/0.59 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t11)))) % 0.41/0.59 (assume @p15 (forall @t15 (=> @t9 @t12))) % 0.41/0.59 (assume @p16 (forall @t15 (not (tptp.convergent_lines @t24 @t4)))) % 0.41/0.59 (assume @p17 (forall @t15 (not (tptp.apart_point_and_line @t1 @t24)))) % 0.41/0.59 (assume @p18 (forall @t7 (=> @t8 (or @t22 @t23 @t10)))) % 0.41/0.59 (assume @p19 (forall @t29 (or @t28 @t27))) % 0.41/0.59 (assume @p20 (forall @t35 (=> (and @t28 @t27) (or (and @t34 @t33) (and @t32 @t31))))) % 0.41/0.59 (assume @p21 (forall @t38 (not (tptp.unorthogonal_lines @t37 @t26)))) % 0.41/0.59 (assume @p22 (forall @t38 (not (tptp.apart_point_and_line @t36 @t37)))) % 0.41/0.59 (assume @p23 (forall (@list @t36 @t26 @t25 @t30) (=> (tptp.distinct_lines @t26 @t25) (or (tptp.apart_point_and_line @t36 @t26) (tptp.apart_point_and_line @t36 @t25) @t33 @t31)))) % 0.41/0.59 (assume @p24 (forall @t29 (not (and @t40 @t39)))) % 0.41/0.59 (assume @p25 (forall @t35 (=> (and (or @t40 @t39) (or (not @t34) @t42)) (or @t41 (not @t31))))) % 0.41/0.59 (assume @p26 (forall @t35 (=> (and @t39 @t42) @t41))) % 0.41/0.59 (assume @p27 (forall @t48 (=> @t47 (tptp.line (tptp.line_connecting @t36 @t43))))) % 0.41/0.59 (assume @p28 (forall @t29 (=> (and @t49 (tptp.line @t25) @t28) (tptp.point (tptp.intersection_point @t26 @t25))))) % 0.41/0.59 (assume @p29 (forall @t51 (=> @t50 (tptp.line (tptp.parallel_through_point @t26 @t36))))) % 0.41/0.59 (assume @p30 (forall @t51 (=> @t50 (tptp.line @t37)))) % 0.41/0.59 (assume @p31 (forall @t15 (= (tptp.equal_points @t1 @t4) (not @t6)))) % 0.41/0.59 (assume @p32 (forall @t15 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.41/0.59 (assume @p33 (forall @t15 (= (tptp.parallel_lines @t1 @t4) (not @t12)))) % 0.41/0.59 (assume @p34 @t52) % 0.41/0.59 (assume @p35 (forall @t15 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.41/0.59 (assume @p36 @t61) % 0.41/0.59 (assume @p37 true) % 0.41/0.59 (step @p38 :rule quant-miniscope-or :args ((= (forall @t48 @t74) (or @t73 @t70)))) % 0.41/0.59 (step @p39 :rule aci_norm :args ((= @t75 @t74))) % 0.41/0.59 (step @p40 :rule cong :premises (@p39) :args ((forall @t48 @t75))) % 0.41/0.59 (step @p41 :rule trans :premises (@p40 @p38)) % 0.41/0.59 (step @p42 :rule aci_norm :args ((= (or @t76 (or @t73 @t65)) @t75))) % 0.41/0.59 (step @p43 :rule bool-and-de-morgan :args (@t72 @t64 true)) % 0.41/0.59 (step @p44 :rule aci_norm :args ((= (or @t68 (or @t67 @t66)) @t76))) % 0.41/0.59 (step @p45 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 0.41/0.59 (step @p46 :rule refl :args (@t68)) % 0.41/0.59 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t68 (not (and @t45 @t44))))) % 0.41/0.59 (step @p48 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44))) % 0.41/0.59 (step @p49 :rule trans :premises (@p48 @p47)) % 0.41/0.59 (step @p50 :rule trans :premises (@p49 @p44)) % 0.41/0.59 (step @p51 :rule nary_cong :premises (@p50 @p43) :args ((or (not @t47) @t77))) % 0.41/0.59 (step @p52 :rule trans :premises (@p51 @p42)) % 0.41/0.59 (step @p53 :rule bool-impl-elim :args (@t47 @t77)) % 0.41/0.59 (step @p54 :rule trans :premises (@p53 @p52)) % 0.41/0.59 (step @p55 :rule cong :premises (@p54) :args ((forall @t48 (=> @t47 @t77)))) % 0.41/0.59 (step @p56 :rule trans :premises (@p55 @p41)) % 0.41/0.59 (step @p57 :rule alpha_equiv :args (@t79 @t80 (@list @t62))) % 0.41/0.59 (step @p58 :rule alpha_equiv :args (@t81 @t80 (@list @t71))) % 0.41/0.59 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t82)) % 0.41/0.59 (step @p60 :rule quant-miniscope-and :args ((= (forall @t2 (and @t56 @t78)) @t82))) % 0.41/0.59 (step @p61 :rule trans :premises (@p60 @p59)) % 0.41/0.59 (step @p62 :rule bool-and-de-morgan :args (@t54 @t53 true)) % 0.41/0.59 (step @p63 :rule refl :args (@t56)) % 0.41/0.59 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((and @t56 (not @t55)))) % 0.41/0.59 (step @p65 :rule bool-implies-de-morgan :args (@t56 @t55)) % 0.41/0.59 (step @p66 :rule trans :premises (@p65 @p64)) % 0.41/0.59 (step @p67 :rule cong :premises (@p66) :args (@t83)) % 0.41/0.59 (step @p68 :rule trans :premises (@p67 @p61)) % 0.41/0.59 (step @p69 :rule cong :premises (@p68) :args (@t84)) % 0.41/0.59 (step @p70 :rule exists-elim :args ((= @t58 @t84))) % 0.41/0.59 (step @p71 :rule trans :premises (@p70 @p69)) % 0.41/0.59 (step @p72 :rule refl :args (@t47)) % 0.41/0.59 (step @p73 :rule cong :premises (@p72 @p71) :args (@t59)) % 0.41/0.59 (step @p74 :rule cong :premises (@p73) :args (@t60)) % 0.41/0.59 (step @p75 :rule trans :premises (@p74 @p56)) % 0.41/0.59 (step @p76 :rule cong :premises (@p75) :args (@t61)) % 0.41/0.59 (step @p77 :rule eq_resolve :premises (@p36 @p76)) % 0.41/0.59 (step @p78 :rule not_or_elim :premises (@p77) :args (1)) % 0.41/0.59 (step @p79 :rule skolemize :premises (@p78)) % 0.41/0.59 (step @p80 :rule bool-double-not-elim :args (@t87)) % 0.41/0.59 (step @p81 :rule refl :args (@t91)) % 0.41/0.59 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t91 (not @t88)))) % 0.41/0.59 (step @p83 :rule cnf_or_neg :args (@t91 3)) % 0.41/0.59 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.41/0.59 (step @p85 :rule reordering :premises (@p84) :args ((or @t87 @t91))) % 0.41/0.59 (step @p86 :rule chain_m_resolution :premises (@p85 @p79) :args (@t87 @t92 @t93)) % 0.41/0.59 (step @p87 :rule eq-symm :args (@t95 @t97)) % 0.41/0.59 (step @p88 :rule refl :args (@t52)) % 0.41/0.59 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t52 @t98))) % 0.41/0.59 (assume-push @p151 @t52) % 0.41/0.59 (step @p91 :rule instantiate :premises (@p34) :args ((@list @t85 @t94))) % 0.41/0.59 (step-pop @p152 :rule scope :premises (@p91)) % 0.41/0.59 (step @p92 :rule process_scope :premises (@p152) :args (@t98)) % 0.41/0.59 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 0.41/0.59 (step @p95 :rule implies_elim :premises (@p94)) % 0.41/0.59 (step @p96 :rule chain_m_resolution :premises (@p95 @p34) :args (@t99 @t100 @t101)) % 0.41/0.59 (step @p97 :rule bool-impl-elim :args (@t6 @t17)) % 0.41/0.59 (step @p98 :rule cong :premises (@p97) :args (@t18)) % 0.41/0.59 (step @p99 :rule eq_resolve :premises (@p8 @p98)) % 0.41/0.59 (step @p100 :rule instantiate :premises (@p99) :args (@t102)) % 0.41/0.59 (step @p101 :rule bool-double-not-elim :args (@t89)) % 0.41/0.59 (step @p102 :rule nary_cong :premises (@p81 @p101) :args ((or @t91 (not @t90)))) % 0.41/0.59 (step @p103 :rule cnf_or_neg :args (@t91 2)) % 0.41/0.59 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.41/0.59 (step @p105 :rule reordering :premises (@p104) :args ((or @t89 @t91))) % 0.41/0.59 (step @p106 :rule chain_m_resolution :premises (@p105 @p79) :args (@t89 @t92 @t93)) % 0.41/0.59 (step @p107 :rule cnf_or_pos :args (@t103)) % 0.41/0.59 (step @p108 :rule reordering :premises (@p107) :args ((or @t90 @t97 (not @t103)))) % 0.41/0.59 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p100) :args (@t97 @t104 (@list @t89 @t103))) % 0.41/0.59 (step @p110 :rule refl :args (@t95)) % 0.41/0.59 (step @p111 :rule bool-double-not-elim :args (@t96)) % 0.41/0.59 (step @p112 :rule refl :args (@t105)) % 0.41/0.59 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args ((or @t105 (not @t97) @t95))) % 0.41/0.59 (step @p114 :rule cnf_equiv_pos1 :args (@t99)) % 0.41/0.59 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.41/0.59 (step @p116 :rule reordering :premises (@p115) :args ((or @t96 @t95 @t105))) % 0.41/0.59 (step @p117 :rule chain_m_resolution :premises (@p116 @p109 @p96) :args (@t95 @t106 (@list @t96 @t99))) % 0.41/0.59 (step @p118 :rule eq-symm :args (@t107 @t109)) % 0.41/0.59 (step @p119 :rule cong :premises (@p88 @p118) :args ((=> @t52 @t110))) % 0.41/0.59 (assume-push @p153 @t52) % 0.41/0.59 (step @p121 :rule instantiate :premises (@p34) :args ((@list @t86 @t94))) % 0.41/0.59 (step-pop @p154 :rule scope :premises (@p121)) % 0.41/0.59 (step @p122 :rule process_scope :premises (@p154) :args (@t110)) % 0.41/0.59 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 0.41/0.59 (step @p125 :rule implies_elim :premises (@p124)) % 0.41/0.59 (step @p126 :rule chain_m_resolution :premises (@p125 @p34) :args (@t111 @t100 @t101)) % 0.41/0.59 (step @p127 :rule bool-impl-elim :args (@t6 @t14)) % 0.41/0.59 (step @p128 :rule cong :premises (@p127) :args (@t16)) % 0.41/0.59 (step @p129 :rule eq_resolve :premises (@p7 @p128)) % 0.41/0.59 (step @p130 :rule instantiate :premises (@p129) :args (@t102)) % 0.41/0.59 (step @p131 :rule cnf_or_pos :args (@t112)) % 0.41/0.59 (step @p132 :rule reordering :premises (@p131) :args ((or @t90 @t109 (not @t112)))) % 0.41/0.59 (step @p133 :rule chain_m_resolution :premises (@p132 @p106 @p130) :args (@t109 @t104 (@list @t89 @t112))) % 0.41/0.59 (step @p134 :rule refl :args (@t107)) % 0.41/0.59 (step @p135 :rule bool-double-not-elim :args (@t108)) % 0.41/0.59 (step @p136 :rule refl :args (@t113)) % 0.41/0.59 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args ((or @t113 (not @t109) @t107))) % 0.41/0.59 (step @p138 :rule cnf_equiv_pos1 :args (@t111)) % 0.41/0.59 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.41/0.59 (step @p140 :rule reordering :premises (@p139) :args ((or @t108 @t107 @t113))) % 0.41/0.59 (step @p141 :rule chain_m_resolution :premises (@p140 @p133 @p126) :args (@t107 @t106 (@list @t108 @t111))) % 0.41/0.59 (step @p142 :rule cnf_or_pos :args (@t116)) % 0.41/0.59 (step @p143 :rule reordering :premises (@p142) :args ((or @t115 @t114 @t117))) % 0.41/0.59 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p117) :args (@t117 @t104 (@list @t107 @t95))) % 0.41/0.59 (assume-push @p155 @t87) % 0.41/0.59 (step @p146 :rule instantiate :premises (@p86) :args ((@list @t94))) % 0.41/0.59 (step-pop @p156 :rule scope :premises (@p146)) % 0.41/0.59 (step @p147 :rule process_scope :premises (@p156) :args (@t116)) % 0.41/0.59 (step @p149 :rule implies_elim :premises (@p147)) % 0.41/0.59 (step @p150 false :rule chain_m_resolution :premises (@p149 @p144 @p86) :args (false @t106 (@list @t116 @t87))) % 0.41/0.59 ) % 0.41/0.59 % SZS output end Proof % 0.41/0.59 % cvc5 exiting %------------------------------------------------------------------------------