%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO186+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 : n027.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 08:16:36 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEO186+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n027.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 23:39:36 EDT 2026 % 0.15/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t2 () (@list @t1)) % 0.37/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.37/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.37/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.37/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.37/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.37/0.59 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.37/0.59 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.37/0.59 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.37/0.59 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.37/0.59 (define @t13 () (tptp.line_connecting @t1 @t4)) % 0.37/0.59 (define @t14 () (@list @t1 @t4)) % 0.37/0.59 (define @t15 () (tptp.intersection_point @t1 @t4)) % 0.37/0.59 (define @t16 () (not (tptp.apart_point_and_line @t15 @t1))) % 0.37/0.59 (define @t17 () (forall @t14 (=> @t12 @t16))) % 0.37/0.59 (define @t18 () (not (tptp.apart_point_and_line @t15 @t4))) % 0.37/0.59 (define @t19 () (forall @t14 (=> @t12 @t18))) % 0.37/0.59 (define @t20 () (@var "V" $$unsorted)) % 0.37/0.59 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.37/0.59 (define @t22 () (@var "U" $$unsorted)) % 0.37/0.59 (define @t23 () (tptp.apart_point_and_line @t4 @t22)) % 0.37/0.59 (define @t24 () (tptp.apart_point_and_line @t1 @t20)) % 0.37/0.59 (define @t25 () (tptp.apart_point_and_line @t1 @t22)) % 0.37/0.59 (define @t26 () (or @t25 @t24 @t23 @t21)) % 0.37/0.59 (define @t27 () (tptp.distinct_lines @t22 @t20)) % 0.37/0.59 (define @t28 () (and @t6 @t27)) % 0.37/0.59 (define @t29 () (@list @t1 @t4 @t22 @t20)) % 0.37/0.59 (define @t30 () (forall @t29 (=> @t28 @t26))) % 0.37/0.59 (define @t31 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.59 (define @t32 () (tptp.apart_point_and_line @t1 @t3)) % 0.37/0.59 (define @t33 () (or @t8 @t11)) % 0.37/0.59 (define @t34 () (forall @t7 (=> @t12 @t33))) % 0.37/0.59 (define @t35 () (tptp.parallel_through_point @t4 @t1)) % 0.37/0.59 (define @t36 () (@var "M" $$unsorted)) % 0.37/0.59 (define @t37 () (@var "L" $$unsorted)) % 0.37/0.59 (define @t38 () (tptp.unorthogonal_lines @t37 @t36)) % 0.37/0.59 (define @t39 () (tptp.convergent_lines @t37 @t36)) % 0.37/0.59 (define @t40 () (@list @t37 @t36)) % 0.37/0.59 (define @t41 () (@var "N" $$unsorted)) % 0.37/0.59 (define @t42 () (tptp.unorthogonal_lines @t36 @t41)) % 0.37/0.59 (define @t43 () (tptp.convergent_lines @t36 @t41)) % 0.37/0.59 (define @t44 () (tptp.unorthogonal_lines @t37 @t41)) % 0.37/0.59 (define @t45 () (tptp.convergent_lines @t37 @t41)) % 0.37/0.59 (define @t46 () (@list @t37 @t36 @t41)) % 0.37/0.59 (define @t47 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t48 () (tptp.orthogonal_through_point @t37 @t47)) % 0.37/0.59 (define @t49 () (@list @t47 @t37)) % 0.37/0.59 (define @t50 () (not @t38)) % 0.37/0.59 (define @t51 () (not @t39)) % 0.37/0.59 (define @t52 () (not @t43)) % 0.37/0.59 (define @t53 () (not @t44)) % 0.37/0.59 (define @t54 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t55 () (tptp.point @t47)) % 0.37/0.59 (define @t56 () (tptp.line @t37)) % 0.37/0.59 (define @t57 () (and @t56 @t55)) % 0.37/0.59 (define @t58 () (@list @t37 @t47)) % 0.37/0.59 (define @t59 () (not @t6)) % 0.37/0.59 (define @t60 () (not @t12)) % 0.37/0.59 (define @t61 () (tptp.equal_points @t1 (tptp.intersection_point @t22 @t20))) % 0.37/0.59 (define @t62 () (tptp.incident_point_and_line @t1 @t20)) % 0.37/0.59 (define @t63 () (tptp.incident_point_and_line @t1 @t22)) % 0.37/0.59 (define @t64 () (tptp.convergent_lines @t22 @t20)) % 0.37/0.59 (define @t65 () (and @t6 @t64 @t63 @t62)) % 0.37/0.59 (define @t66 () (forall @t29 (=> @t65 @t61))) % 0.37/0.59 (define @t67 () (not @t66)) % 0.37/0.59 (define @t68 () (not @t27)) % 0.37/0.59 (define @t69 () (or @t59 @t68 @t25 @t24 @t23 @t21)) % 0.37/0.59 (define @t70 () (not @t62)) % 0.37/0.59 (define @t71 () (not @t63)) % 0.37/0.59 (define @t72 () (not @t64)) % 0.37/0.59 (define @t73 () (or @t59 @t72 @t71 @t70 @t61)) % 0.37/0.59 (define @t74 () (forall @t29 @t73)) % 0.37/0.59 (define @t75 () (@quantifiers_skolemize @t74 2)) % 0.37/0.59 (define @t76 () (@quantifiers_skolemize @t74 3)) % 0.37/0.59 (define @t77 () (or @t59 @t72 @t71 @t70)) % 0.37/0.59 (define @t78 () (tptp.convergent_lines @t75 @t76)) % 0.37/0.59 (define @t79 () (tptp.intersection_point @t75 @t76)) % 0.37/0.59 (define @t80 () (@quantifiers_skolemize @t74 0)) % 0.37/0.59 (define @t81 () (tptp.equal_points @t80 @t79)) % 0.37/0.59 (define @t82 () (tptp.incident_point_and_line @t80 @t76)) % 0.37/0.59 (define @t83 () (not @t82)) % 0.37/0.59 (define @t84 () (tptp.incident_point_and_line @t80 @t75)) % 0.37/0.59 (define @t85 () (not @t84)) % 0.37/0.59 (define @t86 () (not @t78)) % 0.37/0.59 (define @t87 () (or (not (tptp.distinct_points @t80 (@quantifiers_skolemize @t74 1))) @t86 @t85 @t83 @t81)) % 0.37/0.59 (define @t88 () (@list true)) % 0.37/0.59 (define @t89 () (@list @t87)) % 0.37/0.59 (define @t90 () (tptp.convergent_lines @t75 @t75)) % 0.37/0.59 (define @t91 () (tptp.distinct_lines @t76 @t75)) % 0.37/0.59 (define @t92 () (or @t86 @t91 @t90)) % 0.37/0.59 (define @t93 () (tptp.apart_point_and_line @t80 @t76)) % 0.37/0.59 (define @t94 () (not @t93)) % 0.37/0.59 (define @t95 () (= @t82 @t94)) % 0.37/0.59 (define @t96 () (@list false false)) % 0.37/0.59 (define @t97 () (tptp.apart_point_and_line @t80 @t75)) % 0.37/0.59 (define @t98 () (not @t97)) % 0.37/0.59 (define @t99 () (= @t84 @t98)) % 0.37/0.59 (define @t100 () (tptp.distinct_points @t80 @t79)) % 0.37/0.59 (define @t101 () (not @t100)) % 0.37/0.59 (define @t102 () (= @t81 @t101)) % 0.37/0.59 (define @t103 () (not @t102)) % 0.37/0.59 (define @t104 () (@list true false)) % 0.37/0.59 (define @t105 () (@list @t75 @t76)) % 0.37/0.59 (define @t106 () (tptp.apart_point_and_line @t79 @t76)) % 0.37/0.59 (define @t107 () (not @t106)) % 0.37/0.59 (define @t108 () (or @t86 @t107)) % 0.37/0.59 (define @t109 () (tptp.apart_point_and_line @t79 @t75)) % 0.37/0.59 (define @t110 () (not @t109)) % 0.37/0.59 (define @t111 () (or @t86 @t110)) % 0.37/0.59 (define @t112 () (not @t91)) % 0.37/0.59 (define @t113 () (or @t101 @t112 @t93 @t97 @t106 @t109)) % 0.37/0.59 (define @t114 () (not @t113)) % 0.37/0.59 (define @t115 () (forall @t29 @t69)) % 0.37/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.37/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.37/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.37/0.59 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.37/0.59 (assume @p6 (forall @t7 (=> @t12 (or @t11 @t10)))) % 0.37/0.59 (assume @p7 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t1 @t13))))) % 0.37/0.59 (assume @p8 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t4 @t13))))) % 0.37/0.59 (assume @p9 @t17) % 0.37/0.59 (assume @p10 @t19) % 0.37/0.59 (assume @p11 @t30) % 0.37/0.59 (assume @p12 (forall @t7 (=> @t31 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.37/0.59 (assume @p13 (forall @t7 (=> @t31 (or @t8 @t32)))) % 0.37/0.59 (assume @p14 @t34) % 0.37/0.59 (assume @p15 (forall @t14 (=> @t9 @t12))) % 0.37/0.59 (assume @p16 (forall @t14 (not (tptp.convergent_lines @t35 @t4)))) % 0.37/0.59 (assume @p17 (forall @t14 (not (tptp.apart_point_and_line @t1 @t35)))) % 0.37/0.59 (assume @p18 (forall @t7 (=> @t8 (or @t31 @t32 @t10)))) % 0.37/0.59 (assume @p19 (forall @t40 (or @t39 @t38))) % 0.37/0.59 (assume @p20 (forall @t46 (=> (and @t39 @t38) (or (and @t45 @t44) (and @t43 @t42))))) % 0.37/0.59 (assume @p21 (forall @t49 (not (tptp.unorthogonal_lines @t48 @t37)))) % 0.37/0.59 (assume @p22 (forall @t49 (not (tptp.apart_point_and_line @t47 @t48)))) % 0.37/0.59 (assume @p23 (forall (@list @t47 @t37 @t36 @t41) (=> (tptp.distinct_lines @t37 @t36) (or (tptp.apart_point_and_line @t47 @t37) (tptp.apart_point_and_line @t47 @t36) @t44 @t42)))) % 0.37/0.59 (assume @p24 (forall @t40 (not (and @t51 @t50)))) % 0.37/0.59 (assume @p25 (forall @t46 (=> (and (or @t51 @t50) (or (not @t45) @t53)) (or @t52 (not @t42))))) % 0.37/0.59 (assume @p26 (forall @t46 (=> (and @t50 @t53) @t52))) % 0.37/0.59 (assume @p27 (forall (@list @t47 @t54) (=> (and @t55 (tptp.point @t54) (tptp.distinct_points @t47 @t54)) (tptp.line (tptp.line_connecting @t47 @t54))))) % 0.37/0.59 (assume @p28 (forall @t40 (=> (and @t56 (tptp.line @t36) @t39) (tptp.point (tptp.intersection_point @t37 @t36))))) % 0.37/0.59 (assume @p29 (forall @t58 (=> @t57 (tptp.line (tptp.parallel_through_point @t37 @t47))))) % 0.37/0.59 (assume @p30 (forall @t58 (=> @t57 (tptp.line @t48)))) % 0.37/0.59 (assume @p31 (forall @t14 (= (tptp.equal_points @t1 @t4) @t59))) % 0.37/0.59 (assume @p32 (forall @t14 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.37/0.59 (assume @p33 (forall @t14 (= (tptp.parallel_lines @t1 @t4) @t60))) % 0.37/0.59 (assume @p34 (forall @t14 (= (tptp.incident_point_and_line @t1 @t4) (not @t31)))) % 0.37/0.59 (assume @p35 (forall @t14 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.37/0.59 (assume @p36 @t67) % 0.37/0.59 (assume @p37 true) % 0.37/0.59 (step @p38 :rule aci_norm :args ((= (or (or @t59 @t68) @t26) @t69))) % 0.37/0.59 (step @p39 :rule refl :args (@t26)) % 0.37/0.59 (step @p40 :rule bool-and-de-morgan :args (@t6 @t27 true)) % 0.37/0.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t28) @t26))) % 0.37/0.59 (step @p42 :rule trans :premises (@p41 @p38)) % 0.37/0.59 (step @p43 :rule bool-impl-elim :args (@t28 @t26)) % 0.37/0.59 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.59 (step @p45 :rule cong :premises (@p44) :args (@t30)) % 0.37/0.59 (step @p46 :rule eq_resolve :premises (@p11 @p45)) % 0.37/0.59 (step @p47 :rule aci_norm :args ((= (or @t60 @t33) (or @t60 @t8 @t11)))) % 0.37/0.59 (step @p48 :rule bool-impl-elim :args (@t12 @t33)) % 0.37/0.59 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.59 (step @p50 :rule cong :premises (@p49) :args (@t34)) % 0.37/0.59 (step @p51 :rule eq_resolve :premises (@p14 @p50)) % 0.37/0.59 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t75 @t76 @t75))) % 0.37/0.59 (step @p53 :rule instantiate :premises (@p3) :args ((@list @t75))) % 0.37/0.59 (step @p54 :rule aci_norm :args ((= (or @t77 @t61) @t73))) % 0.37/0.59 (step @p55 :rule refl :args (@t61)) % 0.37/0.59 (step @p56 :rule aci_norm :args ((= (or @t59 (or @t72 (or @t71 @t70))) @t77))) % 0.37/0.59 (step @p57 :rule bool-and-de-morgan :args (@t63 @t62 true)) % 0.37/0.59 (step @p58 :rule refl :args (@t72)) % 0.37/0.59 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t72 (not (and @t63 @t62))))) % 0.37/0.59 (step @p60 :rule bool-and-de-morgan :args (@t64 @t63 (and @t62))) % 0.37/0.59 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.59 (step @p62 :rule refl :args (@t59)) % 0.37/0.59 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t59 (not (and @t64 @t63 @t62))))) % 0.37/0.59 (step @p64 :rule bool-and-de-morgan :args (@t6 @t64 (and @t63 @t62))) % 0.37/0.59 (step @p65 :rule trans :premises (@p64 @p63)) % 0.37/0.59 (step @p66 :rule trans :premises (@p65 @p56)) % 0.37/0.59 (step @p67 :rule nary_cong :premises (@p66 @p55) :args ((or (not @t65) @t61))) % 0.37/0.59 (step @p68 :rule trans :premises (@p67 @p54)) % 0.37/0.59 (step @p69 :rule bool-impl-elim :args (@t65 @t61)) % 0.37/0.59 (step @p70 :rule trans :premises (@p69 @p68)) % 0.37/0.59 (step @p71 :rule cong :premises (@p70) :args (@t66)) % 0.37/0.59 (step @p72 :rule cong :premises (@p71) :args (@t67)) % 0.37/0.59 (step @p73 :rule eq_resolve :premises (@p36 @p72)) % 0.37/0.59 (step @p74 :rule skolemize :premises (@p73)) % 0.37/0.59 (step @p75 :rule bool-double-not-elim :args (@t78)) % 0.37/0.59 (step @p76 :rule refl :args (@t87)) % 0.37/0.59 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t87 (not @t86)))) % 0.37/0.59 (step @p78 :rule cnf_or_neg :args (@t87 1)) % 0.37/0.59 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.37/0.59 (step @p80 :rule reordering :premises (@p79) :args ((or @t78 @t87))) % 0.37/0.59 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t78 @t88 @t89)) % 0.37/0.59 (step @p82 :rule cnf_or_pos :args (@t92)) % 0.37/0.59 (step @p83 :rule reordering :premises (@p82) :args ((or @t86 @t90 @t91 (not @t92)))) % 0.37/0.59 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p53 @p52) :args (@t91 (@list false true false) (@list @t78 @t90 @t92))) % 0.37/0.59 (step @p85 :rule instantiate :premises (@p34) :args ((@list @t80 @t76))) % 0.37/0.59 (step @p86 :rule bool-double-not-elim :args (@t82)) % 0.37/0.59 (step @p87 :rule nary_cong :premises (@p76 @p86) :args ((or @t87 (not @t83)))) % 0.37/0.59 (step @p88 :rule cnf_or_neg :args (@t87 3)) % 0.37/0.59 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.37/0.59 (step @p90 :rule reordering :premises (@p89) :args ((or @t82 @t87))) % 0.37/0.59 (step @p91 :rule chain_m_resolution :premises (@p90 @p74) :args (@t82 @t88 @t89)) % 0.37/0.59 (step @p92 :rule cnf_equiv_pos1 :args (@t95)) % 0.37/0.59 (step @p93 :rule reordering :premises (@p92) :args ((or @t83 @t94 (not @t95)))) % 0.37/0.59 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p85) :args (@t94 @t96 (@list @t82 @t95))) % 0.37/0.59 (step @p95 :rule instantiate :premises (@p34) :args ((@list @t80 @t75))) % 0.37/0.59 (step @p96 :rule bool-double-not-elim :args (@t84)) % 0.37/0.59 (step @p97 :rule nary_cong :premises (@p76 @p96) :args ((or @t87 (not @t85)))) % 0.37/0.59 (step @p98 :rule cnf_or_neg :args (@t87 2)) % 0.37/0.59 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.37/0.59 (step @p100 :rule reordering :premises (@p99) :args ((or @t84 @t87))) % 0.37/0.59 (step @p101 :rule chain_m_resolution :premises (@p100 @p74) :args (@t84 @t88 @t89)) % 0.37/0.59 (step @p102 :rule cnf_equiv_pos1 :args (@t99)) % 0.37/0.59 (step @p103 :rule reordering :premises (@p102) :args ((or @t85 @t98 (not @t99)))) % 0.37/0.59 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p95) :args (@t98 @t96 (@list @t84 @t99))) % 0.37/0.59 (step @p105 :rule instantiate :premises (@p31) :args ((@list @t80 @t79))) % 0.37/0.59 (step @p106 :rule cnf_or_neg :args (@t87 4)) % 0.37/0.59 (step @p107 :rule chain_m_resolution :premises (@p106 @p74) :args ((not @t81) @t88 @t89)) % 0.37/0.59 (step @p108 :rule bool-double-not-elim :args (@t100)) % 0.37/0.59 (step @p109 :rule refl :args (@t81)) % 0.37/0.59 (step @p110 :rule refl :args (@t103)) % 0.37/0.59 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args ((or @t103 @t81 (not @t101)))) % 0.37/0.59 (step @p112 :rule cnf_equiv_pos2 :args (@t102)) % 0.37/0.59 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.37/0.59 (step @p114 :rule reordering :premises (@p113) :args ((or @t81 @t100 @t103))) % 0.37/0.59 (step @p115 :rule chain_m_resolution :premises (@p114 @p107 @p105) :args (@t100 @t104 (@list @t81 @t102))) % 0.37/0.59 (step @p116 :rule bool-impl-elim :args (@t12 @t18)) % 0.37/0.59 (step @p117 :rule cong :premises (@p116) :args (@t19)) % 0.37/0.59 (step @p118 :rule eq_resolve :premises (@p10 @p117)) % 0.37/0.59 (step @p119 :rule instantiate :premises (@p118) :args (@t105)) % 0.37/0.59 (step @p120 :rule cnf_or_pos :args (@t108)) % 0.37/0.59 (step @p121 :rule reordering :premises (@p120) :args ((or @t86 @t107 (not @t108)))) % 0.37/0.59 (step @p122 :rule chain_m_resolution :premises (@p121 @p81 @p119) :args (@t107 @t96 (@list @t78 @t108))) % 0.37/0.59 (step @p123 :rule bool-impl-elim :args (@t12 @t16)) % 0.37/0.59 (step @p124 :rule cong :premises (@p123) :args (@t17)) % 0.37/0.59 (step @p125 :rule eq_resolve :premises (@p9 @p124)) % 0.37/0.59 (step @p126 :rule instantiate :premises (@p125) :args (@t105)) % 0.37/0.59 (step @p127 :rule cnf_or_pos :args (@t111)) % 0.37/0.59 (step @p128 :rule reordering :premises (@p127) :args ((or @t86 @t110 (not @t111)))) % 0.37/0.59 (step @p129 :rule chain_m_resolution :premises (@p128 @p81 @p126) :args (@t110 @t96 (@list @t78 @t111))) % 0.37/0.59 (step @p130 :rule cnf_or_pos :args (@t113)) % 0.37/0.59 (step @p131 :rule reordering :premises (@p130) :args ((or @t109 @t106 @t101 @t97 @t93 @t112 @t114))) % 0.37/0.59 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p122 @p115 @p104 @p94 @p84) :args (@t114 (@list true true false true true false) (@list @t109 @t106 @t100 @t97 @t93 @t91))) % 0.37/0.59 (assume-push @p139 @t115) % 0.37/0.59 (step @p134 :rule instantiate :premises (@p46) :args ((@list @t80 @t79 @t76 @t75))) % 0.37/0.59 (step-pop @p140 :rule scope :premises (@p134)) % 0.37/0.59 (step @p135 :rule process_scope :premises (@p140) :args (@t113)) % 0.37/0.59 (step @p137 :rule implies_elim :premises (@p135)) % 0.37/0.59 (step @p138 false :rule chain_m_resolution :premises (@p137 @p132 @p46) :args (false @t104 (@list @t113 @t115))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------