%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO222+2 : TPTP v9.2.1. Released v3.3.0. % 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 08:16:49 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO222+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n027.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 23:41:06 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t2 () (@list @t1)) % 0.38/0.61 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.61 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.61 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.61 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.61 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.61 (define @t9 () (tptp.distinct_lines @t1 @t3)) % 0.38/0.61 (define @t10 () (or @t9 @t8)) % 0.38/0.61 (define @t11 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.61 (define @t12 () (forall @t7 (=> @t11 @t10))) % 0.38/0.61 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.38/0.61 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.61 (define @t15 () (or @t14 @t13)) % 0.38/0.61 (define @t16 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.61 (define @t17 () (forall @t7 (=> @t16 @t15))) % 0.38/0.61 (define @t18 () (tptp.apart_point_and_line @t3 @t4)) % 0.38/0.61 (define @t19 () (@var "V" $$unsorted)) % 0.38/0.61 (define @t20 () (@var "U" $$unsorted)) % 0.38/0.61 (define @t21 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.61 (define @t22 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.61 (define @t23 () (@list @t1 @t4)) % 0.38/0.61 (define @t24 () (forall @t23 (=> @t16 @t11))) % 0.38/0.61 (define @t25 () (tptp.parallel_through_point @t4 @t1)) % 0.38/0.61 (define @t26 () (@var "M" $$unsorted)) % 0.38/0.61 (define @t27 () (@var "L" $$unsorted)) % 0.38/0.61 (define @t28 () (tptp.unorthogonal_lines @t27 @t26)) % 0.38/0.61 (define @t29 () (tptp.convergent_lines @t27 @t26)) % 0.38/0.61 (define @t30 () (@var "N" $$unsorted)) % 0.38/0.61 (define @t31 () (tptp.unorthogonal_lines @t26 @t30)) % 0.38/0.61 (define @t32 () (and (tptp.convergent_lines @t26 @t30) @t31)) % 0.38/0.61 (define @t33 () (tptp.unorthogonal_lines @t27 @t30)) % 0.38/0.61 (define @t34 () (and (tptp.convergent_lines @t27 @t30) @t33)) % 0.38/0.61 (define @t35 () (or @t34 @t32)) % 0.38/0.61 (define @t36 () (and @t29 @t28)) % 0.38/0.61 (define @t37 () (forall (@list @t27 @t26 @t30) (=> @t36 @t35))) % 0.38/0.61 (define @t38 () (@var "A" $$unsorted)) % 0.38/0.61 (define @t39 () (tptp.orthogonal_through_point @t27 @t38)) % 0.38/0.61 (define @t40 () (@list @t38 @t27)) % 0.38/0.61 (define @t41 () (tptp.apart_point_and_line @t38 @t26)) % 0.38/0.61 (define @t42 () (tptp.apart_point_and_line @t38 @t27)) % 0.38/0.61 (define @t43 () (or @t42 @t41 @t33 @t31)) % 0.38/0.61 (define @t44 () (tptp.distinct_lines @t27 @t26)) % 0.38/0.61 (define @t45 () (forall (@list @t38 @t27 @t26 @t30) (=> @t44 @t43))) % 0.38/0.61 (define @t46 () (forall @t40 (not (tptp.convergent_lines @t27 (tptp.orthogonal_through_point @t39 @t38))))) % 0.38/0.61 (define @t47 () (not @t46)) % 0.38/0.61 (define @t48 () (@quantifiers_skolemize @t46 0)) % 0.38/0.61 (define @t49 () (@quantifiers_skolemize @t46 1)) % 0.38/0.61 (define @t50 () (tptp.orthogonal_through_point @t49 @t48)) % 0.38/0.61 (define @t51 () (tptp.orthogonal_through_point @t50 @t48)) % 0.38/0.61 (define @t52 () (tptp.convergent_lines @t49 @t51)) % 0.38/0.61 (define @t53 () (not @t52)) % 0.38/0.61 (define @t54 () (not @t53)) % 0.38/0.61 (define @t55 () (@list true)) % 0.38/0.61 (define @t56 () (@list @t48 @t50)) % 0.38/0.61 (define @t57 () (tptp.unorthogonal_lines @t51 @t50)) % 0.38/0.61 (define @t58 () (tptp.convergent_lines @t51 @t50)) % 0.38/0.61 (define @t59 () (and @t58 @t57)) % 0.38/0.61 (define @t60 () (not @t59)) % 0.38/0.61 (define @t61 () (not @t28)) % 0.38/0.61 (define @t62 () (not @t29)) % 0.38/0.61 (define @t63 () (not @t16)) % 0.38/0.61 (define @t64 () (tptp.convergent_lines @t51 @t49)) % 0.38/0.61 (define @t65 () (tptp.convergent_lines @t49 @t49)) % 0.38/0.61 (define @t66 () (or @t53 @t65 @t64)) % 0.38/0.61 (define @t67 () (@list false true false)) % 0.38/0.61 (define @t68 () (not @t44)) % 0.38/0.61 (define @t69 () (not @t11)) % 0.38/0.61 (define @t70 () (@list @t51 @t50)) % 0.38/0.61 (define @t71 () (or @t58 @t57)) % 0.38/0.61 (define @t72 () (@list true false)) % 0.38/0.61 (define @t73 () (tptp.distinct_lines @t51 @t50)) % 0.38/0.61 (define @t74 () (not @t58)) % 0.38/0.61 (define @t75 () (or @t74 @t73)) % 0.38/0.61 (define @t76 () (@list @t51)) % 0.38/0.61 (define @t77 () (tptp.distinct_lines @t50 @t51)) % 0.38/0.61 (define @t78 () (tptp.distinct_lines @t51 @t51)) % 0.38/0.61 (define @t79 () (not @t73)) % 0.38/0.61 (define @t80 () (or @t79 @t78 @t77)) % 0.38/0.61 (define @t81 () (@list @t48 @t49)) % 0.38/0.61 (define @t82 () (tptp.unorthogonal_lines @t51 @t49)) % 0.38/0.61 (define @t83 () (tptp.unorthogonal_lines @t50 @t49)) % 0.38/0.61 (define @t84 () (tptp.apart_point_and_line @t48 @t51)) % 0.38/0.61 (define @t85 () (tptp.apart_point_and_line @t48 @t50)) % 0.38/0.61 (define @t86 () (not @t77)) % 0.38/0.61 (define @t87 () (or @t86 @t85 @t84 @t83 @t82)) % 0.38/0.61 (define @t88 () (@list true true true false false)) % 0.38/0.61 (define @t89 () (tptp.convergent_lines @t51 @t51)) % 0.38/0.61 (define @t90 () (and @t89 (tptp.unorthogonal_lines @t51 @t51))) % 0.38/0.61 (define @t91 () (not @t90)) % 0.38/0.61 (define @t92 () (tptp.unorthogonal_lines @t49 @t51)) % 0.38/0.61 (define @t93 () (and @t52 @t92)) % 0.38/0.61 (define @t94 () (not @t82)) % 0.38/0.61 (define @t95 () (not @t64)) % 0.38/0.61 (define @t96 () (or @t95 @t94 @t90 @t93)) % 0.38/0.61 (define @t97 () (and @t65 (tptp.unorthogonal_lines @t49 @t49))) % 0.38/0.61 (define @t98 () (not @t97)) % 0.38/0.61 (define @t99 () (tptp.convergent_lines @t50 @t49)) % 0.38/0.61 (define @t100 () (and @t99 @t83)) % 0.38/0.61 (define @t101 () (not @t100)) % 0.38/0.61 (define @t102 () (tptp.unorthogonal_lines @t50 @t50)) % 0.38/0.61 (define @t103 () (or @t79 @t84 @t85 @t57 @t102)) % 0.38/0.61 (define @t104 () (not @t102)) % 0.38/0.61 (define @t105 () (tptp.convergent_lines @t50 @t50)) % 0.38/0.61 (define @t106 () (not @t105)) % 0.38/0.61 (define @t107 () (or @t106 @t104 @t100 @t100)) % 0.38/0.61 (define @t108 () (or @t99 @t83)) % 0.38/0.61 (define @t109 () (tptp.convergent_lines @t49 @t50)) % 0.38/0.61 (define @t110 () (not @t99)) % 0.38/0.61 (define @t111 () (or @t110 @t105 @t109)) % 0.38/0.61 (define @t112 () (tptp.unorthogonal_lines @t49 @t50)) % 0.38/0.61 (define @t113 () (not @t112)) % 0.38/0.61 (define @t114 () (not @t109)) % 0.38/0.61 (define @t115 () (or @t114 @t113 @t97 @t100)) % 0.38/0.61 (define @t116 () (and @t109 @t112)) % 0.38/0.61 (define @t117 () (not @t116)) % 0.38/0.61 (define @t118 () (not @t92)) % 0.38/0.61 (define @t119 () (or @t53 @t118 @t116 @t59)) % 0.38/0.61 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.61 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.61 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.61 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.61 (assume @p5 @t12) % 0.38/0.61 (assume @p6 @t17) % 0.38/0.61 (assume @p7 (forall @t7 (=> @t6 (=> (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4)) (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4)))))) % 0.38/0.61 (assume @p8 (forall @t7 (=> @t16 (=> (or (tptp.apart_point_and_line @t3 @t1) @t18) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.38/0.61 (assume @p9 (forall (@list @t1 @t4 @t20 @t19) (=> (and @t6 (tptp.distinct_lines @t20 @t19)) (or (tptp.apart_point_and_line @t1 @t20) (tptp.apart_point_and_line @t1 @t19) (tptp.apart_point_and_line @t4 @t20) (tptp.apart_point_and_line @t4 @t19))))) % 0.38/0.61 (assume @p10 (forall @t7 (=> @t21 (or @t5 @t18)))) % 0.38/0.61 (assume @p11 (forall @t7 (=> @t21 (or @t8 @t22)))) % 0.38/0.61 (assume @p12 @t24) % 0.38/0.61 (assume @p13 (forall @t23 (not (tptp.convergent_lines @t25 @t4)))) % 0.38/0.61 (assume @p14 (forall @t23 (not (tptp.apart_point_and_line @t1 @t25)))) % 0.38/0.61 (assume @p15 (forall @t7 (=> @t8 (or @t21 @t22 @t13)))) % 0.38/0.61 (assume @p16 (forall (@list @t27 @t26) (or @t29 @t28))) % 0.38/0.61 (assume @p17 @t37) % 0.38/0.61 (assume @p18 (forall @t40 (not (tptp.unorthogonal_lines @t39 @t27)))) % 0.38/0.61 (assume @p19 (forall @t40 (not (tptp.apart_point_and_line @t38 @t39)))) % 0.38/0.61 (assume @p20 @t45) % 0.38/0.61 (assume @p21 @t47) % 0.38/0.61 (assume @p22 true) % 0.38/0.61 (step @p23 :rule refl :args (@t52)) % 0.38/0.61 (step @p24 :rule bool-double-not-elim :args (@t46)) % 0.38/0.61 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t47) @t52))) % 0.38/0.61 (step @p26 :rule bool-double-not-elim :args (@t52)) % 0.38/0.61 (step @p27 :rule refl :args (@t47)) % 0.38/0.61 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t47 @t54))) % 0.38/0.61 (assume-push @p138 @t47) % 0.38/0.61 (step @p30 :rule skolemize :premises (@p21)) % 0.38/0.61 (step-pop @p139 :rule scope :premises (@p30)) % 0.38/0.61 (step @p31 :rule process_scope :premises (@p139) :args (@t54)) % 0.38/0.61 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.38/0.61 (step @p34 :rule implies_elim :premises (@p33)) % 0.38/0.61 (step @p35 :rule eq_resolve :premises (@p34 @p25)) % 0.38/0.61 (step @p36 :rule chain_m_resolution :premises (@p35 @p21) :args (@t52 @t55 (@list @t46))) % 0.38/0.61 (step @p37 :rule instantiate :premises (@p18) :args (@t56)) % 0.38/0.61 (step @p38 :rule cnf_and_pos :args (@t59 1)) % 0.38/0.61 (step @p39 :rule reordering :premises (@p38) :args ((or @t57 @t60))) % 0.38/0.61 (step @p40 :rule chain_m_resolution :premises (@p39 @p37) :args (@t60 @t55 (@list @t57))) % 0.38/0.61 (step @p41 :rule aci_norm :args ((= (or (or @t62 @t61) @t35) (or @t62 @t61 @t34 @t32)))) % 0.38/0.61 (step @p42 :rule refl :args (@t35)) % 0.38/0.61 (step @p43 :rule bool-and-de-morgan :args (@t29 @t28 true)) % 0.38/0.61 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or (not @t36) @t35))) % 0.38/0.61 (step @p45 :rule trans :premises (@p44 @p41)) % 0.38/0.61 (step @p46 :rule bool-impl-elim :args (@t36 @t35)) % 0.38/0.61 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.61 (step @p48 :rule cong :premises (@p47) :args (@t37)) % 0.38/0.61 (step @p49 :rule eq_resolve :premises (@p17 @p48)) % 0.38/0.61 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t51 @t49 @t51))) % 0.38/0.61 (step @p51 :rule aci_norm :args ((= (or @t63 @t15) (or @t63 @t14 @t13)))) % 0.38/0.61 (step @p52 :rule bool-impl-elim :args (@t16 @t15)) % 0.38/0.61 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.61 (step @p54 :rule cong :premises (@p53) :args (@t17)) % 0.38/0.61 (step @p55 :rule eq_resolve :premises (@p6 @p54)) % 0.38/0.61 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t49 @t51 @t49))) % 0.38/0.61 (step @p57 :rule instantiate :premises (@p3) :args ((@list @t49))) % 0.38/0.61 (step @p58 :rule cnf_or_pos :args (@t66)) % 0.38/0.61 (step @p59 :rule reordering :premises (@p58) :args ((or @t53 @t65 @t64 (not @t66)))) % 0.38/0.61 (step @p60 :rule chain_m_resolution :premises (@p59 @p36 @p57 @p56) :args (@t64 @t67 (@list @t52 @t65 @t66))) % 0.38/0.61 (step @p61 :rule aci_norm :args ((= (or @t68 @t43) (or @t68 @t42 @t41 @t33 @t31)))) % 0.38/0.61 (step @p62 :rule bool-impl-elim :args (@t44 @t43)) % 0.38/0.61 (step @p63 :rule trans :premises (@p62 @p61)) % 0.38/0.61 (step @p64 :rule cong :premises (@p63) :args (@t45)) % 0.38/0.61 (step @p65 :rule eq_resolve :premises (@p20 @p64)) % 0.38/0.61 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t48 @t50 @t51 @t49))) % 0.38/0.61 (step @p67 :rule aci_norm :args ((= (or @t69 @t10) (or @t69 @t9 @t8)))) % 0.38/0.61 (step @p68 :rule bool-impl-elim :args (@t11 @t10)) % 0.38/0.61 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.61 (step @p70 :rule cong :premises (@p69) :args (@t12)) % 0.38/0.61 (step @p71 :rule eq_resolve :premises (@p5 @p70)) % 0.38/0.61 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t51 @t50 @t51))) % 0.38/0.61 (step @p73 :rule bool-impl-elim :args (@t16 @t11)) % 0.38/0.61 (step @p74 :rule cong :premises (@p73) :args (@t24)) % 0.38/0.61 (step @p75 :rule eq_resolve :premises (@p12 @p74)) % 0.38/0.61 (step @p76 :rule instantiate :premises (@p75) :args (@t70)) % 0.38/0.61 (step @p77 :rule instantiate :premises (@p16) :args (@t70)) % 0.38/0.61 (step @p78 :rule cnf_or_pos :args (@t71)) % 0.38/0.61 (step @p79 :rule reordering :premises (@p78) :args ((or @t57 @t58 (not @t71)))) % 0.38/0.61 (step @p80 :rule chain_m_resolution :premises (@p79 @p37 @p77) :args (@t58 @t72 (@list @t57 @t71))) % 0.38/0.61 (step @p81 :rule cnf_or_pos :args (@t75)) % 0.38/0.61 (step @p82 :rule reordering :premises (@p81) :args ((or @t74 @t73 (not @t75)))) % 0.38/0.61 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p76) :args (@t73 (@list false false) (@list @t58 @t75))) % 0.38/0.61 (step @p84 :rule instantiate :premises (@p2) :args (@t76)) % 0.38/0.61 (step @p85 :rule cnf_or_pos :args (@t80)) % 0.38/0.61 (step @p86 :rule reordering :premises (@p85) :args ((or @t78 @t79 @t77 (not @t80)))) % 0.38/0.61 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p83 @p72) :args (@t77 (@list true false false) (@list @t78 @t73 @t80))) % 0.38/0.61 (step @p88 :rule instantiate :premises (@p19) :args (@t56)) % 0.38/0.61 (step @p89 :rule instantiate :premises (@p19) :args (@t81)) % 0.38/0.61 (step @p90 :rule instantiate :premises (@p18) :args (@t81)) % 0.38/0.61 (step @p91 :rule cnf_or_pos :args (@t87)) % 0.38/0.61 (step @p92 :rule reordering :premises (@p91) :args ((or @t83 @t85 @t84 @t86 @t82 (not @t87)))) % 0.38/0.61 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p89 @p88 @p87 @p66) :args (@t82 @t88 (@list @t83 @t85 @t84 @t77 @t87))) % 0.38/0.61 (step @p94 :rule instantiate :premises (@p3) :args (@t76)) % 0.38/0.61 (step @p95 :rule cnf_and_pos :args (@t90 0)) % 0.38/0.61 (step @p96 :rule reordering :premises (@p95) :args ((or @t89 @t91))) % 0.38/0.61 (step @p97 :rule chain_m_resolution :premises (@p96 @p94) :args (@t91 @t55 (@list @t89))) % 0.38/0.61 (step @p98 :rule cnf_or_pos :args (@t96)) % 0.38/0.61 (step @p99 :rule reordering :premises (@p98) :args ((or @t93 @t90 @t94 @t95 (not @t96)))) % 0.38/0.61 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p93 @p60 @p50) :args (@t93 (@list true false false false) (@list @t90 @t82 @t64 @t96))) % 0.38/0.61 (step @p101 :rule cnf_and_pos :args (@t93 1)) % 0.38/0.61 (step @p102 :rule reordering :premises (@p101) :args ((or @t92 (not @t93)))) % 0.38/0.61 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t92 (@list false) (@list @t93))) % 0.38/0.61 (step @p104 :rule instantiate :premises (@p49) :args ((@list @t49 @t50 @t49))) % 0.38/0.61 (step @p105 :rule cnf_and_pos :args (@t97 0)) % 0.38/0.61 (step @p106 :rule reordering :premises (@p105) :args ((or @t65 @t98))) % 0.38/0.61 (step @p107 :rule chain_m_resolution :premises (@p106 @p57) :args (@t98 @t55 (@list @t65))) % 0.38/0.61 (step @p108 :rule instantiate :premises (@p55) :args ((@list @t50 @t49 @t50))) % 0.38/0.61 (step @p109 :rule instantiate :premises (@p49) :args ((@list @t50 @t50 @t49))) % 0.38/0.61 (step @p110 :rule cnf_and_pos :args (@t100 1)) % 0.38/0.61 (step @p111 :rule reordering :premises (@p110) :args ((or @t83 @t101))) % 0.38/0.61 (step @p112 :rule chain_m_resolution :premises (@p111 @p90) :args (@t101 @t55 (@list @t83))) % 0.38/0.61 (step @p113 :rule instantiate :premises (@p65) :args ((@list @t48 @t51 @t50 @t50))) % 0.38/0.61 (step @p114 :rule cnf_or_pos :args (@t103)) % 0.38/0.61 (step @p115 :rule reordering :premises (@p114) :args ((or @t57 @t85 @t84 @t79 @t102 (not @t103)))) % 0.38/0.61 (step @p116 :rule chain_m_resolution :premises (@p115 @p37 @p89 @p88 @p83 @p113) :args (@t102 @t88 (@list @t57 @t85 @t84 @t73 @t103))) % 0.38/0.61 (step @p117 :rule cnf_or_pos :args (@t107)) % 0.38/0.61 (step @p118 :rule factoring :premises (@p117)) % 0.38/0.61 (step @p119 :rule reordering :premises (@p118) :args ((or @t106 @t104 @t100 (not @t107)))) % 0.38/0.61 (step @p120 :rule chain_m_resolution :premises (@p119 @p116 @p112 @p109) :args (@t106 @t67 (@list @t102 @t100 @t107))) % 0.38/0.61 (step @p121 :rule instantiate :premises (@p16) :args ((@list @t50 @t49))) % 0.38/0.61 (step @p122 :rule cnf_or_pos :args (@t108)) % 0.38/0.61 (step @p123 :rule reordering :premises (@p122) :args ((or @t83 @t99 (not @t108)))) % 0.38/0.61 (step @p124 :rule chain_m_resolution :premises (@p123 @p90 @p121) :args (@t99 @t72 (@list @t83 @t108))) % 0.38/0.61 (step @p125 :rule cnf_or_pos :args (@t111)) % 0.38/0.61 (step @p126 :rule reordering :premises (@p125) :args ((or @t110 @t105 @t109 (not @t111)))) % 0.38/0.61 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p120 @p108) :args (@t109 @t67 (@list @t99 @t105 @t111))) % 0.38/0.61 (step @p128 :rule cnf_or_pos :args (@t115)) % 0.38/0.61 (step @p129 :rule reordering :premises (@p128) :args ((or @t100 @t114 @t113 @t97 (not @t115)))) % 0.38/0.61 (step @p130 :rule chain_m_resolution :premises (@p129 @p112 @p127 @p107 @p104) :args (@t113 (@list true false true false) (@list @t100 @t109 @t97 @t115))) % 0.38/0.61 (step @p131 :rule cnf_and_pos :args (@t116 1)) % 0.38/0.61 (step @p132 :rule reordering :premises (@p131) :args ((or @t112 @t117))) % 0.38/0.61 (step @p133 :rule chain_m_resolution :premises (@p132 @p130) :args (@t117 @t55 (@list @t112))) % 0.38/0.61 (step @p134 :rule instantiate :premises (@p49) :args ((@list @t49 @t51 @t50))) % 0.38/0.61 (step @p135 :rule cnf_or_pos :args (@t119)) % 0.38/0.61 (step @p136 :rule reordering :premises (@p135) :args ((or @t53 @t118 @t59 @t116 (not @t119)))) % 0.38/0.61 (step @p137 false :rule chain_m_resolution :premises (@p136 @p134 @p133 @p103 @p40 @p36) :args (false (@list false true false true false) (@list @t119 @t116 @t92 @t59 @t52))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------