%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO223+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 0.14s 0.39s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO223+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 23:40:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.39 % SZS status Theorem % 0.14/0.39 % SZS output start Proof % 0.14/0.39 ( % 0.14/0.39 (declare-sort $$unsorted 0) % 0.14/0.39 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (define @t1 () (@var "X" $$unsorted)) % 0.14/0.39 (define @t2 () (@list @t1)) % 0.14/0.39 (define @t3 () (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.14/0.39 (define @t4 () (@var "Z" $$unsorted)) % 0.14/0.39 (define @t5 () (@var "Y" $$unsorted)) % 0.14/0.39 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.14/0.39 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.14/0.39 (define @t8 () (@list @t1 @t5 @t4)) % 0.14/0.39 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.14/0.39 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.14/0.39 (define @t11 () (tptp.convergent_lines @t5 @t4)) % 0.14/0.39 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.14/0.39 (define @t13 () (or @t12 @t11)) % 0.14/0.39 (define @t14 () (tptp.convergent_lines @t1 @t5)) % 0.14/0.39 (define @t15 () (forall @t8 (=> @t14 @t13))) % 0.14/0.39 (define @t16 () (tptp.apart_point_and_line @t4 @t5)) % 0.14/0.39 (define @t17 () (@var "V" $$unsorted)) % 0.14/0.39 (define @t18 () (@var "U" $$unsorted)) % 0.14/0.39 (define @t19 () (tptp.apart_point_and_line @t1 @t5)) % 0.14/0.39 (define @t20 () (tptp.apart_point_and_line @t1 @t4)) % 0.14/0.39 (define @t21 () (@list @t1 @t5)) % 0.14/0.39 (define @t22 () (forall @t21 (=> @t14 @t10))) % 0.14/0.39 (define @t23 () (tptp.parallel_through_point @t5 @t1)) % 0.14/0.39 (define @t24 () (or @t19 @t20 @t11)) % 0.14/0.39 (define @t25 () (forall @t8 (=> @t9 @t24))) % 0.14/0.39 (define @t26 () (@var "M" $$unsorted)) % 0.14/0.39 (define @t27 () (@var "L" $$unsorted)) % 0.14/0.39 (define @t28 () (tptp.unorthogonal_lines @t27 @t26)) % 0.14/0.39 (define @t29 () (tptp.convergent_lines @t27 @t26)) % 0.14/0.39 (define @t30 () (@var "N" $$unsorted)) % 0.14/0.39 (define @t31 () (tptp.unorthogonal_lines @t26 @t30)) % 0.14/0.39 (define @t32 () (and (tptp.convergent_lines @t26 @t30) @t31)) % 0.14/0.39 (define @t33 () (tptp.unorthogonal_lines @t27 @t30)) % 0.14/0.39 (define @t34 () (and (tptp.convergent_lines @t27 @t30) @t33)) % 0.14/0.39 (define @t35 () (or @t34 @t32)) % 0.14/0.39 (define @t36 () (and @t29 @t28)) % 0.14/0.39 (define @t37 () (forall (@list @t27 @t26 @t30) (=> @t36 @t35))) % 0.14/0.39 (define @t38 () (@var "A" $$unsorted)) % 0.14/0.39 (define @t39 () (tptp.orthogonal_through_point @t27 @t38)) % 0.14/0.39 (define @t40 () (@list @t38 @t27)) % 0.14/0.39 (define @t41 () (tptp.apart_point_and_line @t38 @t26)) % 0.14/0.39 (define @t42 () (tptp.apart_point_and_line @t38 @t27)) % 0.14/0.39 (define @t43 () (or @t42 @t41 @t33 @t31)) % 0.14/0.39 (define @t44 () (tptp.distinct_lines @t27 @t26)) % 0.14/0.39 (define @t45 () (forall (@list @t38 @t27 @t26 @t30) (=> @t44 @t43))) % 0.14/0.39 (define @t46 () (forall @t40 (not (tptp.distinct_lines (tptp.parallel_through_point @t27 @t38) (tptp.orthogonal_through_point @t39 @t38))))) % 0.14/0.39 (define @t47 () (not @t46)) % 0.14/0.39 (define @t48 () (not @t28)) % 0.14/0.39 (define @t49 () (not @t29)) % 0.14/0.39 (define @t50 () (@quantifiers_skolemize @t46 1)) % 0.14/0.39 (define @t51 () (@quantifiers_skolemize @t46 0)) % 0.14/0.39 (define @t52 () (tptp.orthogonal_through_point @t50 @t51)) % 0.14/0.39 (define @t53 () (tptp.orthogonal_through_point @t52 @t51)) % 0.14/0.39 (define @t54 () (@list @t51 @t52)) % 0.14/0.39 (define @t55 () (tptp.unorthogonal_lines @t53 @t52)) % 0.14/0.39 (define @t56 () (tptp.convergent_lines @t53 @t52)) % 0.14/0.39 (define @t57 () (and @t56 @t55)) % 0.14/0.39 (define @t58 () (not @t57)) % 0.14/0.39 (define @t59 () (@list true)) % 0.14/0.39 (define @t60 () (not @t44)) % 0.14/0.39 (define @t61 () (@list @t53 @t52)) % 0.14/0.39 (define @t62 () (or @t56 @t55)) % 0.14/0.39 (define @t63 () (@list true false)) % 0.14/0.39 (define @t64 () (tptp.distinct_lines @t53 @t52)) % 0.14/0.39 (define @t65 () (not @t56)) % 0.14/0.39 (define @t66 () (or @t65 @t64)) % 0.14/0.39 (define @t67 () (@list false false)) % 0.14/0.39 (define @t68 () (@list @t51 @t50)) % 0.14/0.39 (define @t69 () (tptp.unorthogonal_lines @t52 @t50)) % 0.14/0.39 (define @t70 () (tptp.unorthogonal_lines @t53 @t50)) % 0.14/0.39 (define @t71 () (tptp.apart_point_and_line @t51 @t52)) % 0.14/0.39 (define @t72 () (tptp.apart_point_and_line @t51 @t53)) % 0.14/0.39 (define @t73 () (not @t64)) % 0.14/0.39 (define @t74 () (or @t73 @t72 @t71 @t70 @t69)) % 0.14/0.39 (define @t75 () (@list true true true false false)) % 0.14/0.39 (define @t76 () (not @t14)) % 0.14/0.39 (define @t77 () (tptp.parallel_through_point @t50 @t51)) % 0.14/0.39 (define @t78 () (not @t9)) % 0.14/0.39 (define @t79 () (tptp.distinct_lines @t77 @t53)) % 0.14/0.39 (define @t80 () (not @t79)) % 0.14/0.39 (define @t81 () (not @t80)) % 0.14/0.39 (define @t82 () (tptp.convergent_lines @t77 @t53)) % 0.14/0.39 (define @t83 () (tptp.apart_point_and_line @t51 @t77)) % 0.14/0.39 (define @t84 () (or @t80 @t83 @t72 @t82)) % 0.14/0.39 (define @t85 () (tptp.convergent_lines @t53 @t50)) % 0.14/0.39 (define @t86 () (tptp.convergent_lines @t77 @t50)) % 0.14/0.39 (define @t87 () (not @t82)) % 0.14/0.39 (define @t88 () (or @t87 @t86 @t85)) % 0.14/0.39 (define @t89 () (tptp.unorthogonal_lines @t50 @t52)) % 0.14/0.39 (define @t90 () (tptp.convergent_lines @t50 @t52)) % 0.14/0.39 (define @t91 () (and @t90 @t89)) % 0.14/0.39 (define @t92 () (not @t70)) % 0.14/0.39 (define @t93 () (not @t85)) % 0.14/0.39 (define @t94 () (or @t93 @t92 @t57 @t91)) % 0.14/0.39 (define @t95 () (@list false)) % 0.14/0.39 (define @t96 () (tptp.convergent_lines @t52 @t50)) % 0.14/0.39 (define @t97 () (and @t96 @t69)) % 0.14/0.39 (define @t98 () (not @t97)) % 0.14/0.39 (define @t99 () (tptp.unorthogonal_lines @t52 @t52)) % 0.14/0.39 (define @t100 () (or @t73 @t72 @t71 @t55 @t99)) % 0.14/0.39 (define @t101 () (not @t99)) % 0.14/0.39 (define @t102 () (tptp.convergent_lines @t52 @t52)) % 0.14/0.39 (define @t103 () (not @t102)) % 0.14/0.39 (define @t104 () (or @t103 @t101 @t97 @t97)) % 0.14/0.39 (define @t105 () (@list false true false)) % 0.14/0.39 (define @t106 () (or @t96 @t69)) % 0.14/0.39 (define @t107 () (not @t96)) % 0.14/0.39 (define @t108 () (or @t107 @t102 @t90)) % 0.14/0.39 (define @t109 () (tptp.convergent_lines @t50 @t50)) % 0.14/0.39 (define @t110 () (and @t109 (tptp.unorthogonal_lines @t50 @t50))) % 0.14/0.39 (define @t111 () (not @t89)) % 0.14/0.39 (define @t112 () (not @t90)) % 0.14/0.39 (define @t113 () (or @t112 @t111 @t110 @t97)) % 0.14/0.39 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.14/0.39 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.14/0.39 (assume @p3 @t3) % 0.14/0.39 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.14/0.39 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.14/0.39 (assume @p6 @t15) % 0.14/0.39 (assume @p7 (forall @t8 (=> @t7 (=> (tptp.apart_point_and_line @t4 (tptp.line_connecting @t1 @t5)) (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5)))))) % 0.14/0.39 (assume @p8 (forall @t8 (=> @t14 (=> (or (tptp.apart_point_and_line @t4 @t1) @t16) (tptp.distinct_points @t4 (tptp.intersection_point @t1 @t5)))))) % 0.14/0.39 (assume @p9 (forall (@list @t1 @t5 @t18 @t17) (=> (and @t7 (tptp.distinct_lines @t18 @t17)) (or (tptp.apart_point_and_line @t1 @t18) (tptp.apart_point_and_line @t1 @t17) (tptp.apart_point_and_line @t5 @t18) (tptp.apart_point_and_line @t5 @t17))))) % 0.14/0.39 (assume @p10 (forall @t8 (=> @t19 (or @t6 @t16)))) % 0.14/0.39 (assume @p11 (forall @t8 (=> @t19 (or @t9 @t20)))) % 0.14/0.39 (assume @p12 @t22) % 0.14/0.39 (assume @p13 (forall @t21 (not (tptp.convergent_lines @t23 @t5)))) % 0.14/0.39 (assume @p14 (forall @t21 (not (tptp.apart_point_and_line @t1 @t23)))) % 0.14/0.39 (assume @p15 @t25) % 0.14/0.39 (assume @p16 (forall (@list @t27 @t26) (or @t29 @t28))) % 0.14/0.39 (assume @p17 @t37) % 0.14/0.39 (assume @p18 (forall @t40 (not (tptp.unorthogonal_lines @t39 @t27)))) % 0.14/0.39 (assume @p19 (forall @t40 (not (tptp.apart_point_and_line @t38 @t39)))) % 0.14/0.39 (assume @p20 @t45) % 0.14/0.39 (assume @p21 @t47) % 0.14/0.39 (assume @p22 true) % 0.14/0.39 (step @p23 :rule aci_norm :args ((= (or (or @t49 @t48) @t35) (or @t49 @t48 @t34 @t32)))) % 0.14/0.39 (step @p24 :rule refl :args (@t35)) % 0.14/0.39 (step @p25 :rule bool-and-de-morgan :args (@t29 @t28 true)) % 0.14/0.39 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t36) @t35))) % 0.14/0.39 (step @p27 :rule trans :premises (@p26 @p23)) % 0.14/0.39 (step @p28 :rule bool-impl-elim :args (@t36 @t35)) % 0.14/0.39 (step @p29 :rule trans :premises (@p28 @p27)) % 0.14/0.39 (step @p30 :rule cong :premises (@p29) :args (@t37)) % 0.14/0.39 (step @p31 :rule eq_resolve :premises (@p17 @p30)) % 0.14/0.39 (step @p32 :rule instantiate :premises (@p31) :args ((@list @t50 @t52 @t50))) % 0.14/0.39 (step @p33 :rule instantiate :premises (@p31) :args ((@list @t53 @t50 @t52))) % 0.14/0.39 (step @p34 :rule instantiate :premises (@p18) :args (@t54)) % 0.14/0.39 (step @p35 :rule cnf_and_pos :args (@t57 1)) % 0.14/0.39 (step @p36 :rule reordering :premises (@p35) :args ((or @t55 @t58))) % 0.14/0.39 (step @p37 :rule chain_m_resolution :premises (@p36 @p34) :args (@t58 @t59 (@list @t55))) % 0.14/0.39 (step @p38 :rule aci_norm :args ((= (or @t60 @t43) (or @t60 @t42 @t41 @t33 @t31)))) % 0.14/0.39 (step @p39 :rule bool-impl-elim :args (@t44 @t43)) % 0.14/0.39 (step @p40 :rule trans :premises (@p39 @p38)) % 0.14/0.39 (step @p41 :rule cong :premises (@p40) :args (@t45)) % 0.14/0.39 (step @p42 :rule eq_resolve :premises (@p20 @p41)) % 0.14/0.39 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t51 @t53 @t52 @t50))) % 0.14/0.39 (step @p44 :rule bool-impl-elim :args (@t14 @t10)) % 0.14/0.39 (step @p45 :rule cong :premises (@p44) :args (@t22)) % 0.14/0.39 (step @p46 :rule eq_resolve :premises (@p12 @p45)) % 0.14/0.39 (step @p47 :rule instantiate :premises (@p46) :args (@t61)) % 0.14/0.39 (step @p48 :rule instantiate :premises (@p16) :args (@t61)) % 0.14/0.39 (step @p49 :rule cnf_or_pos :args (@t62)) % 0.14/0.39 (step @p50 :rule reordering :premises (@p49) :args ((or @t55 @t56 (not @t62)))) % 0.14/0.39 (step @p51 :rule chain_m_resolution :premises (@p50 @p34 @p48) :args (@t56 @t63 (@list @t55 @t62))) % 0.14/0.39 (step @p52 :rule cnf_or_pos :args (@t66)) % 0.14/0.39 (step @p53 :rule reordering :premises (@p52) :args ((or @t65 @t64 (not @t66)))) % 0.14/0.39 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p47) :args (@t64 @t67 (@list @t56 @t66))) % 0.14/0.39 (step @p55 :rule instantiate :premises (@p19) :args (@t54)) % 0.14/0.39 (step @p56 :rule instantiate :premises (@p19) :args (@t68)) % 0.14/0.39 (step @p57 :rule instantiate :premises (@p18) :args (@t68)) % 0.14/0.39 (step @p58 :rule cnf_or_pos :args (@t74)) % 0.14/0.39 (step @p59 :rule reordering :premises (@p58) :args ((or @t69 @t71 @t72 @t70 @t73 (not @t74)))) % 0.14/0.39 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56 @p55 @p54 @p43) :args (@t70 @t75 (@list @t69 @t71 @t72 @t64 @t74))) % 0.14/0.39 (step @p61 :rule aci_norm :args ((= (or @t76 @t13) (or @t76 @t12 @t11)))) % 0.14/0.39 (step @p62 :rule bool-impl-elim :args (@t14 @t13)) % 0.14/0.39 (step @p63 :rule trans :premises (@p62 @p61)) % 0.14/0.39 (step @p64 :rule cong :premises (@p63) :args (@t15)) % 0.14/0.39 (step @p65 :rule eq_resolve :premises (@p6 @p64)) % 0.14/0.39 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t77 @t53 @t50))) % 0.14/0.39 (step @p67 :rule aci_norm :args ((= (or @t78 @t24) (or @t78 @t19 @t20 @t11)))) % 0.14/0.39 (step @p68 :rule bool-impl-elim :args (@t9 @t24)) % 0.14/0.39 (step @p69 :rule trans :premises (@p68 @p67)) % 0.14/0.39 (step @p70 :rule cong :premises (@p69) :args (@t25)) % 0.14/0.39 (step @p71 :rule eq_resolve :premises (@p15 @p70)) % 0.14/0.39 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t51 @t77 @t53))) % 0.14/0.39 (step @p73 :rule instantiate :premises (@p14) :args (@t68)) % 0.14/0.39 (step @p74 :rule refl :args (@t79)) % 0.14/0.39 (step @p75 :rule bool-double-not-elim :args (@t46)) % 0.14/0.39 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t47) @t79))) % 0.14/0.39 (step @p77 :rule bool-double-not-elim :args (@t79)) % 0.14/0.39 (step @p78 :rule refl :args (@t47)) % 0.14/0.39 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t47 @t81))) % 0.14/0.39 (assume-push @p133 @t47) % 0.14/0.39 (step @p81 :rule skolemize :premises (@p21)) % 0.14/0.39 (step-pop @p134 :rule scope :premises (@p81)) % 0.14/0.39 (step @p82 :rule process_scope :premises (@p134) :args (@t81)) % 0.14/0.39 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 0.14/0.39 (step @p85 :rule implies_elim :premises (@p84)) % 0.14/0.39 (step @p86 :rule eq_resolve :premises (@p85 @p76)) % 0.14/0.39 (step @p87 :rule chain_m_resolution :premises (@p86 @p21) :args (@t79 @t59 (@list @t46))) % 0.14/0.39 (step @p88 :rule cnf_or_pos :args (@t84)) % 0.14/0.39 (step @p89 :rule reordering :premises (@p88) :args ((or @t80 @t83 @t72 @t82 (not @t84)))) % 0.14/0.39 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p73 @p55 @p72) :args (@t82 (@list false true true false) (@list @t79 @t83 @t72 @t84))) % 0.14/0.39 (step @p91 :rule instantiate :premises (@p13) :args (@t68)) % 0.14/0.39 (step @p92 :rule cnf_or_pos :args (@t88)) % 0.14/0.39 (step @p93 :rule reordering :premises (@p92) :args ((or @t86 @t87 @t85 (not @t88)))) % 0.14/0.39 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90 @p66) :args (@t85 (@list true false false) (@list @t86 @t82 @t88))) % 0.14/0.39 (step @p95 :rule cnf_or_pos :args (@t94)) % 0.14/0.39 (step @p96 :rule reordering :premises (@p95) :args ((or @t93 @t92 @t57 @t91 (not @t94)))) % 0.14/0.39 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p60 @p37 @p33) :args (@t91 (@list false false true false) (@list @t85 @t70 @t57 @t94))) % 0.14/0.39 (step @p98 :rule cnf_and_pos :args (@t91 1)) % 0.14/0.39 (step @p99 :rule reordering :premises (@p98) :args ((or @t89 (not @t91)))) % 0.14/0.39 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t89 @t95 (@list @t91))) % 0.14/0.39 (step @p101 :rule instantiate :premises (@p65) :args ((@list @t52 @t50 @t52))) % 0.14/0.39 (step @p102 :rule instantiate :premises (@p31) :args ((@list @t52 @t52 @t50))) % 0.14/0.39 (step @p103 :rule cnf_and_pos :args (@t97 1)) % 0.14/0.39 (step @p104 :rule reordering :premises (@p103) :args ((or @t69 @t98))) % 0.14/0.39 (step @p105 :rule chain_m_resolution :premises (@p104 @p57) :args (@t98 @t59 (@list @t69))) % 0.14/0.39 (step @p106 :rule instantiate :premises (@p42) :args ((@list @t51 @t53 @t52 @t52))) % 0.14/0.39 (step @p107 :rule cnf_or_pos :args (@t100)) % 0.14/0.39 (step @p108 :rule reordering :premises (@p107) :args ((or @t55 @t71 @t72 @t73 @t99 (not @t100)))) % 0.14/0.39 (step @p109 :rule chain_m_resolution :premises (@p108 @p34 @p56 @p55 @p54 @p106) :args (@t99 @t75 (@list @t55 @t71 @t72 @t64 @t100))) % 0.14/0.39 (step @p110 :rule cnf_or_pos :args (@t104)) % 0.14/0.39 (step @p111 :rule factoring :premises (@p110)) % 0.14/0.39 (step @p112 :rule reordering :premises (@p111) :args ((or @t103 @t101 @t97 (not @t104)))) % 0.14/0.39 (step @p113 :rule chain_m_resolution :premises (@p112 @p109 @p105 @p102) :args (@t103 @t105 (@list @t99 @t97 @t104))) % 0.14/0.39 (step @p114 :rule instantiate :premises (@p16) :args ((@list @t52 @t50))) % 0.14/0.39 (step @p115 :rule cnf_or_pos :args (@t106)) % 0.14/0.39 (step @p116 :rule reordering :premises (@p115) :args ((or @t69 @t96 (not @t106)))) % 0.14/0.39 (step @p117 :rule chain_m_resolution :premises (@p116 @p57 @p114) :args (@t96 @t63 (@list @t69 @t106))) % 0.14/0.39 (step @p118 :rule cnf_or_pos :args (@t108)) % 0.14/0.39 (step @p119 :rule reordering :premises (@p118) :args ((or @t107 @t102 @t90 (not @t108)))) % 0.14/0.39 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p113 @p101) :args (@t90 @t105 (@list @t96 @t102 @t108))) % 0.14/0.39 (step @p121 :rule cnf_or_pos :args (@t113)) % 0.14/0.39 (step @p122 :rule reordering :premises (@p121) :args ((or @t97 @t112 @t111 @t110 (not @t113)))) % 0.14/0.39 (step @p123 :rule chain_m_resolution :premises (@p122 @p105 @p120 @p100 @p32) :args (@t110 (@list true false false false) (@list @t97 @t90 @t89 @t113))) % 0.14/0.39 (step @p124 :rule cnf_and_pos :args (@t110 0)) % 0.14/0.39 (step @p125 :rule reordering :premises (@p124) :args ((or @t109 (not @t110)))) % 0.14/0.39 (step @p126 :rule chain_m_resolution :premises (@p125 @p123) :args (@t109 @t95 (@list @t110))) % 0.14/0.39 (assume-push @p135 @t3) % 0.14/0.39 (step @p128 :rule instantiate :premises (@p3) :args ((@list @t50))) % 0.14/0.39 (step-pop @p136 :rule scope :premises (@p128)) % 0.14/0.39 (step @p129 :rule process_scope :premises (@p136) :args ((not @t109))) % 0.14/0.39 (step @p131 :rule implies_elim :premises (@p129)) % 0.14/0.39 (step @p132 false :rule chain_m_resolution :premises (@p131 @p126 @p3) :args (false @t67 (@list @t109 @t3))) % 0.14/0.39 ) % 0.14/0.39 % SZS output end Proof % 0.14/0.39 % cvc5 exiting %------------------------------------------------------------------------------