%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO222+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 : n022.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 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO222+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n022.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 23:40:54 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.line (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.point (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t2 () (@list @t1)) % 0.38/0.60 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.60 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.60 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.60 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.60 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.60 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.38/0.60 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.60 (define @t12 () (or @t11 @t10)) % 0.38/0.60 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.60 (define @t14 () (forall @t7 (=> @t13 @t12))) % 0.38/0.60 (define @t15 () (tptp.line_connecting @t1 @t4)) % 0.38/0.60 (define @t16 () (@list @t1 @t4)) % 0.38/0.60 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.38/0.60 (define @t18 () (not (tptp.apart_point_and_line @t17 @t1))) % 0.38/0.60 (define @t19 () (forall @t16 (=> @t13 @t18))) % 0.38/0.60 (define @t20 () (not (tptp.apart_point_and_line @t17 @t4))) % 0.38/0.60 (define @t21 () (forall @t16 (=> @t13 @t20))) % 0.38/0.60 (define @t22 () (@var "V" $$unsorted)) % 0.38/0.60 (define @t23 () (@var "U" $$unsorted)) % 0.38/0.60 (define @t24 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.60 (define @t25 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.60 (define @t26 () (or @t8 @t11)) % 0.38/0.60 (define @t27 () (forall @t7 (=> @t13 @t26))) % 0.38/0.60 (define @t28 () (tptp.parallel_through_point @t4 @t1)) % 0.38/0.60 (define @t29 () (@var "M" $$unsorted)) % 0.38/0.60 (define @t30 () (@var "L" $$unsorted)) % 0.38/0.60 (define @t31 () (tptp.unorthogonal_lines @t30 @t29)) % 0.38/0.60 (define @t32 () (tptp.convergent_lines @t30 @t29)) % 0.38/0.60 (define @t33 () (@list @t30 @t29)) % 0.38/0.60 (define @t34 () (@var "N" $$unsorted)) % 0.38/0.60 (define @t35 () (tptp.unorthogonal_lines @t29 @t34)) % 0.38/0.60 (define @t36 () (tptp.convergent_lines @t29 @t34)) % 0.38/0.60 (define @t37 () (tptp.unorthogonal_lines @t30 @t34)) % 0.38/0.60 (define @t38 () (tptp.convergent_lines @t30 @t34)) % 0.38/0.60 (define @t39 () (and @t38 @t37)) % 0.38/0.60 (define @t40 () (and @t32 @t31)) % 0.38/0.60 (define @t41 () (@list @t30 @t29 @t34)) % 0.38/0.60 (define @t42 () (@var "A" $$unsorted)) % 0.38/0.60 (define @t43 () (tptp.orthogonal_through_point @t30 @t42)) % 0.38/0.60 (define @t44 () (@list @t42 @t30)) % 0.38/0.60 (define @t45 () (tptp.apart_point_and_line @t42 @t29)) % 0.38/0.60 (define @t46 () (tptp.apart_point_and_line @t42 @t30)) % 0.38/0.60 (define @t47 () (or @t46 @t45 @t37 @t35)) % 0.38/0.60 (define @t48 () (tptp.distinct_lines @t30 @t29)) % 0.38/0.60 (define @t49 () (forall (@list @t42 @t30 @t29 @t34) (=> @t48 @t47))) % 0.38/0.60 (define @t50 () (not @t31)) % 0.38/0.60 (define @t51 () (not @t32)) % 0.38/0.60 (define @t52 () (not @t35)) % 0.38/0.60 (define @t53 () (not @t36)) % 0.38/0.60 (define @t54 () (or @t53 @t52)) % 0.38/0.60 (define @t55 () (not @t37)) % 0.38/0.60 (define @t56 () (not @t38)) % 0.38/0.60 (define @t57 () (or @t56 @t55)) % 0.38/0.60 (define @t58 () (or @t51 @t50)) % 0.38/0.60 (define @t59 () (and @t58 @t57)) % 0.38/0.60 (define @t60 () (forall @t41 (=> @t59 @t54))) % 0.38/0.60 (define @t61 () (and @t50 @t55)) % 0.38/0.60 (define @t62 () (forall @t41 (=> @t61 @t53))) % 0.38/0.60 (define @t63 () (@var "B" $$unsorted)) % 0.38/0.60 (define @t64 () (tptp.point @t42)) % 0.38/0.60 (define @t65 () (tptp.line @t30)) % 0.38/0.60 (define @t66 () (and @t65 @t64)) % 0.38/0.60 (define @t67 () (@list @t30 @t42)) % 0.38/0.60 (define @t68 () (not @t13)) % 0.38/0.60 (define @t69 () (forall @t44 (tptp.parallel_lines @t30 (tptp.orthogonal_through_point @t43 @t42)))) % 0.38/0.60 (define @t70 () (@quantifiers_skolemize @t69 0)) % 0.38/0.60 (define @t71 () (@quantifiers_skolemize @t69 1)) % 0.38/0.60 (define @t72 () (tptp.orthogonal_through_point @t71 @t70)) % 0.38/0.60 (define @t73 () (tptp.orthogonal_through_point @t72 @t70)) % 0.38/0.60 (define @t74 () (@list @t71 @t73)) % 0.38/0.60 (define @t75 () (tptp.convergent_lines @t71 @t73)) % 0.38/0.60 (define @t76 () (tptp.parallel_lines @t71 @t73)) % 0.38/0.60 (define @t77 () (not @t75)) % 0.38/0.60 (define @t78 () (= @t76 @t77)) % 0.38/0.60 (define @t79 () (not @t78)) % 0.38/0.60 (define @t80 () (@list true false)) % 0.38/0.60 (define @t81 () (tptp.intersection_point @t71 @t73)) % 0.38/0.60 (define @t82 () (tptp.apart_point_and_line @t81 @t71)) % 0.38/0.60 (define @t83 () (not @t82)) % 0.38/0.60 (define @t84 () (or @t77 @t83)) % 0.38/0.60 (define @t85 () (@list false false)) % 0.38/0.60 (define @t86 () (tptp.apart_point_and_line @t81 @t73)) % 0.38/0.60 (define @t87 () (not @t86)) % 0.38/0.60 (define @t88 () (or @t77 @t87)) % 0.38/0.60 (define @t89 () (not @t55)) % 0.38/0.60 (define @t90 () (not @t50)) % 0.38/0.60 (define @t91 () (@list @t72 @t71 @t72)) % 0.38/0.60 (define @t92 () (tptp.unorthogonal_lines @t72 @t71)) % 0.38/0.60 (define @t93 () (tptp.convergent_lines @t72 @t71)) % 0.38/0.60 (define @t94 () (or @t93 @t92)) % 0.38/0.60 (define @t95 () (tptp.convergent_lines @t72 @t72)) % 0.38/0.60 (define @t96 () (not @t95)) % 0.38/0.60 (define @t97 () (tptp.unorthogonal_lines @t73 @t72)) % 0.38/0.60 (define @t98 () (or @t97 @t97 @t96)) % 0.38/0.60 (define @t99 () (tptp.convergent_lines @t71 @t72)) % 0.38/0.60 (define @t100 () (not @t93)) % 0.38/0.60 (define @t101 () (or @t100 @t95 @t99)) % 0.38/0.60 (define @t102 () (and @t95 (tptp.unorthogonal_lines @t72 @t72))) % 0.38/0.60 (define @t103 () (not @t102)) % 0.38/0.60 (define @t104 () (@list true)) % 0.38/0.60 (define @t105 () (and @t93 @t92)) % 0.38/0.60 (define @t106 () (not @t105)) % 0.38/0.60 (define @t107 () (tptp.unorthogonal_lines @t71 @t72)) % 0.38/0.60 (define @t108 () (not @t107)) % 0.38/0.60 (define @t109 () (not @t99)) % 0.38/0.60 (define @t110 () (or @t105 @t102 @t109 @t108)) % 0.38/0.60 (define @t111 () (not @t48)) % 0.38/0.60 (define @t112 () (tptp.convergent_lines @t71 @t71)) % 0.38/0.60 (define @t113 () (not @t112)) % 0.38/0.60 (define @t114 () (or @t92 @t92 @t113)) % 0.38/0.60 (define @t115 () (tptp.distinct_lines @t73 @t71)) % 0.38/0.60 (define @t116 () (or @t77 @t115 @t112)) % 0.38/0.60 (define @t117 () (not @t115)) % 0.38/0.60 (define @t118 () (or @t117 @t86 @t82 @t97 @t107)) % 0.38/0.60 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.60 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.60 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.60 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.60 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.60 (assume @p6 @t14) % 0.38/0.60 (assume @p7 (forall @t16 (=> @t6 (not (tptp.apart_point_and_line @t1 @t15))))) % 0.38/0.60 (assume @p8 (forall @t16 (=> @t6 (not (tptp.apart_point_and_line @t4 @t15))))) % 0.38/0.60 (assume @p9 @t19) % 0.38/0.60 (assume @p10 @t21) % 0.38/0.60 (assume @p11 (forall (@list @t1 @t4 @t23 @t22) (=> (and @t6 (tptp.distinct_lines @t23 @t22)) (or (tptp.apart_point_and_line @t1 @t23) (tptp.apart_point_and_line @t1 @t22) (tptp.apart_point_and_line @t4 @t23) (tptp.apart_point_and_line @t4 @t22))))) % 0.38/0.60 (assume @p12 (forall @t7 (=> @t24 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.38/0.60 (assume @p13 (forall @t7 (=> @t24 (or @t8 @t25)))) % 0.38/0.60 (assume @p14 @t27) % 0.38/0.60 (assume @p15 (forall @t16 (=> @t9 @t13))) % 0.38/0.60 (assume @p16 (forall @t16 (not (tptp.convergent_lines @t28 @t4)))) % 0.38/0.60 (assume @p17 (forall @t16 (not (tptp.apart_point_and_line @t1 @t28)))) % 0.38/0.60 (assume @p18 (forall @t7 (=> @t8 (or @t24 @t25 @t10)))) % 0.38/0.60 (assume @p19 (forall @t33 (or @t32 @t31))) % 0.38/0.60 (assume @p20 (forall @t41 (=> @t40 (or @t39 (and @t36 @t35))))) % 0.38/0.60 (assume @p21 (forall @t44 (not (tptp.unorthogonal_lines @t43 @t30)))) % 0.38/0.60 (assume @p22 (forall @t44 (not (tptp.apart_point_and_line @t42 @t43)))) % 0.38/0.60 (assume @p23 @t49) % 0.38/0.60 (assume @p24 (forall @t33 (not (and @t51 @t50)))) % 0.38/0.60 (assume @p25 @t60) % 0.38/0.60 (assume @p26 @t62) % 0.38/0.60 (assume @p27 (forall (@list @t42 @t63) (=> (and @t64 (tptp.point @t63) (tptp.distinct_points @t42 @t63)) (tptp.line (tptp.line_connecting @t42 @t63))))) % 0.38/0.60 (assume @p28 (forall @t33 (=> (and @t65 (tptp.line @t29) @t32) (tptp.point (tptp.intersection_point @t30 @t29))))) % 0.38/0.60 (assume @p29 (forall @t67 (=> @t66 (tptp.line (tptp.parallel_through_point @t30 @t42))))) % 0.38/0.60 (assume @p30 (forall @t67 (=> @t66 (tptp.line @t43)))) % 0.38/0.60 (assume @p31 (forall @t16 (= (tptp.equal_points @t1 @t4) (not @t6)))) % 0.38/0.60 (assume @p32 (forall @t16 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.38/0.60 (assume @p33 (forall @t16 (= (tptp.parallel_lines @t1 @t4) @t68))) % 0.38/0.60 (assume @p34 (forall @t16 (= (tptp.incident_point_and_line @t1 @t4) (not @t24)))) % 0.38/0.60 (assume @p35 (forall @t16 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.38/0.60 (assume @p36 (not @t69)) % 0.38/0.60 (assume @p37 true) % 0.38/0.60 (step @p38 :rule instantiate :premises (@p21) :args ((@list @t70 @t72))) % 0.38/0.60 (step @p39 :rule bool-impl-elim :args (@t13 @t18)) % 0.38/0.60 (step @p40 :rule cong :premises (@p39) :args (@t19)) % 0.38/0.60 (step @p41 :rule eq_resolve :premises (@p9 @p40)) % 0.38/0.60 (step @p42 :rule instantiate :premises (@p41) :args (@t74)) % 0.38/0.60 (step @p43 :rule instantiate :premises (@p33) :args (@t74)) % 0.38/0.60 (step @p44 :rule skolemize :premises (@p36)) % 0.38/0.60 (step @p45 :rule bool-double-not-elim :args (@t75)) % 0.38/0.60 (step @p46 :rule refl :args (@t76)) % 0.38/0.60 (step @p47 :rule refl :args (@t79)) % 0.38/0.60 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45) :args ((or @t79 @t76 (not @t77)))) % 0.38/0.60 (step @p49 :rule cnf_equiv_pos2 :args (@t78)) % 0.38/0.60 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.38/0.60 (step @p51 :rule reordering :premises (@p50) :args ((or @t76 @t75 @t79))) % 0.38/0.60 (step @p52 :rule chain_m_resolution :premises (@p51 @p44 @p43) :args (@t75 @t80 (@list @t76 @t78))) % 0.38/0.60 (step @p53 :rule cnf_or_pos :args (@t84)) % 0.38/0.60 (step @p54 :rule reordering :premises (@p53) :args ((or @t77 @t83 (not @t84)))) % 0.38/0.60 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p42) :args (@t83 @t85 (@list @t75 @t84))) % 0.38/0.60 (step @p56 :rule bool-impl-elim :args (@t13 @t20)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56) :args (@t21)) % 0.38/0.60 (step @p58 :rule eq_resolve :premises (@p10 @p57)) % 0.38/0.60 (step @p59 :rule instantiate :premises (@p58) :args (@t74)) % 0.38/0.60 (step @p60 :rule cnf_or_pos :args (@t88)) % 0.38/0.60 (step @p61 :rule reordering :premises (@p60) :args ((or @t77 @t87 (not @t88)))) % 0.38/0.60 (step @p62 :rule chain_m_resolution :premises (@p61 @p52 @p59) :args (@t87 @t85 (@list @t75 @t88))) % 0.38/0.60 (step @p63 :rule aci_norm :args ((= (or (or @t40 @t39) @t54) (or @t40 @t39 @t53 @t52)))) % 0.38/0.60 (step @p64 :rule refl :args (@t54)) % 0.38/0.60 (step @p65 :rule bool-double-not-elim :args (@t37)) % 0.38/0.60 (step @p66 :rule bool-double-not-elim :args (@t38)) % 0.38/0.60 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((and (not @t56) @t89))) % 0.38/0.60 (step @p68 :rule bool-or-de-morgan :args (@t56 @t55 false)) % 0.38/0.60 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.60 (step @p70 :rule bool-double-not-elim :args (@t31)) % 0.38/0.60 (step @p71 :rule bool-double-not-elim :args (@t32)) % 0.38/0.60 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((and (not @t51) @t90))) % 0.38/0.60 (step @p73 :rule bool-or-de-morgan :args (@t51 @t50 false)) % 0.38/0.60 (step @p74 :rule trans :premises (@p73 @p72)) % 0.38/0.60 (step @p75 :rule nary_cong :premises (@p74 @p69) :args ((or (not @t58) (not @t57)))) % 0.38/0.60 (step @p76 :rule bool-and-de-morgan :args (@t58 @t57 true)) % 0.38/0.60 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.60 (step @p78 :rule nary_cong :premises (@p77 @p64) :args ((or (not @t59) @t54))) % 0.38/0.60 (step @p79 :rule trans :premises (@p78 @p63)) % 0.38/0.60 (step @p80 :rule bool-impl-elim :args (@t59 @t54)) % 0.38/0.60 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.60 (step @p82 :rule cong :premises (@p81) :args (@t60)) % 0.38/0.60 (step @p83 :rule eq_resolve :premises (@p25 @p82)) % 0.38/0.60 (step @p84 :rule instantiate :premises (@p83) :args (@t91)) % 0.38/0.60 (step @p85 :rule aci_norm :args ((= (or @t68 @t12) (or @t68 @t11 @t10)))) % 0.38/0.60 (step @p86 :rule bool-impl-elim :args (@t13 @t12)) % 0.38/0.60 (step @p87 :rule trans :premises (@p86 @p85)) % 0.38/0.60 (step @p88 :rule cong :premises (@p87) :args (@t14)) % 0.38/0.60 (step @p89 :rule eq_resolve :premises (@p6 @p88)) % 0.38/0.60 (step @p90 :rule instantiate :premises (@p89) :args (@t91)) % 0.38/0.60 (step @p91 :rule instantiate :premises (@p19) :args ((@list @t72 @t71))) % 0.38/0.60 (step @p92 :rule instantiate :premises (@p21) :args ((@list @t70 @t71))) % 0.38/0.60 (step @p93 :rule cnf_or_pos :args (@t94)) % 0.38/0.60 (step @p94 :rule reordering :premises (@p93) :args ((or @t92 @t93 (not @t94)))) % 0.38/0.60 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p91) :args (@t93 @t80 (@list @t92 @t94))) % 0.38/0.60 (step @p96 :rule aci_norm :args ((= (or (or @t31 @t37) @t53) (or @t31 @t37 @t53)))) % 0.38/0.60 (step @p97 :rule refl :args (@t53)) % 0.38/0.60 (step @p98 :rule nary_cong :premises (@p70 @p65) :args ((or @t90 @t89))) % 0.38/0.60 (step @p99 :rule bool-and-de-morgan :args (@t50 @t55 true)) % 0.38/0.60 (step @p100 :rule trans :premises (@p99 @p98)) % 0.38/0.60 (step @p101 :rule nary_cong :premises (@p100 @p97) :args ((or (not @t61) @t53))) % 0.38/0.60 (step @p102 :rule trans :premises (@p101 @p96)) % 0.38/0.60 (step @p103 :rule bool-impl-elim :args (@t61 @t53)) % 0.38/0.60 (step @p104 :rule trans :premises (@p103 @p102)) % 0.38/0.60 (step @p105 :rule cong :premises (@p104) :args (@t62)) % 0.38/0.60 (step @p106 :rule eq_resolve :premises (@p26 @p105)) % 0.38/0.60 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t73 @t72 @t72))) % 0.38/0.60 (step @p108 :rule cnf_or_pos :args (@t98)) % 0.38/0.60 (step @p109 :rule factoring :premises (@p108)) % 0.38/0.60 (step @p110 :rule reordering :premises (@p109) :args ((or @t97 @t96 (not @t98)))) % 0.38/0.60 (step @p111 :rule chain_m_resolution :premises (@p110 @p38 @p107) :args (@t96 @t80 (@list @t97 @t98))) % 0.38/0.60 (step @p112 :rule cnf_or_pos :args (@t101)) % 0.38/0.60 (step @p113 :rule reordering :premises (@p112) :args ((or @t95 @t100 @t99 (not @t101)))) % 0.38/0.60 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p95 @p90) :args (@t99 (@list true false false) (@list @t95 @t93 @t101))) % 0.38/0.60 (step @p115 :rule cnf_and_pos :args (@t102 0)) % 0.38/0.60 (step @p116 :rule reordering :premises (@p115) :args ((or @t95 @t103))) % 0.38/0.60 (step @p117 :rule chain_m_resolution :premises (@p116 @p111) :args (@t103 @t104 (@list @t95))) % 0.38/0.60 (step @p118 :rule cnf_and_pos :args (@t105 1)) % 0.38/0.60 (step @p119 :rule reordering :premises (@p118) :args ((or @t92 @t106))) % 0.38/0.60 (step @p120 :rule chain_m_resolution :premises (@p119 @p92) :args (@t106 @t104 (@list @t92))) % 0.38/0.60 (step @p121 :rule cnf_or_pos :args (@t110)) % 0.38/0.60 (step @p122 :rule reordering :premises (@p121) :args ((or @t105 @t102 @t109 @t108 (not @t110)))) % 0.38/0.60 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p117 @p114 @p84) :args (@t108 (@list true true false false) (@list @t105 @t102 @t99 @t110))) % 0.38/0.60 (step @p124 :rule aci_norm :args ((= (or @t111 @t47) (or @t111 @t46 @t45 @t37 @t35)))) % 0.38/0.60 (step @p125 :rule bool-impl-elim :args (@t48 @t47)) % 0.38/0.60 (step @p126 :rule trans :premises (@p125 @p124)) % 0.38/0.60 (step @p127 :rule cong :premises (@p126) :args (@t49)) % 0.38/0.60 (step @p128 :rule eq_resolve :premises (@p23 @p127)) % 0.38/0.60 (step @p129 :rule instantiate :premises (@p128) :args ((@list @t81 @t73 @t71 @t72))) % 0.38/0.60 (step @p130 :rule aci_norm :args ((= (or @t68 @t26) (or @t68 @t8 @t11)))) % 0.38/0.60 (step @p131 :rule bool-impl-elim :args (@t13 @t26)) % 0.38/0.60 (step @p132 :rule trans :premises (@p131 @p130)) % 0.38/0.60 (step @p133 :rule cong :premises (@p132) :args (@t27)) % 0.38/0.60 (step @p134 :rule eq_resolve :premises (@p14 @p133)) % 0.38/0.60 (step @p135 :rule instantiate :premises (@p134) :args ((@list @t71 @t73 @t71))) % 0.38/0.60 (step @p136 :rule instantiate :premises (@p106) :args ((@list @t72 @t71 @t71))) % 0.38/0.60 (step @p137 :rule cnf_or_pos :args (@t114)) % 0.38/0.60 (step @p138 :rule factoring :premises (@p137)) % 0.38/0.60 (step @p139 :rule reordering :premises (@p138) :args ((or @t92 @t113 (not @t114)))) % 0.38/0.60 (step @p140 :rule chain_m_resolution :premises (@p139 @p92 @p136) :args (@t113 @t80 (@list @t92 @t114))) % 0.38/0.60 (step @p141 :rule cnf_or_pos :args (@t116)) % 0.38/0.60 (step @p142 :rule reordering :premises (@p141) :args ((or @t77 @t112 @t115 (not @t116)))) % 0.38/0.60 (step @p143 :rule chain_m_resolution :premises (@p142 @p52 @p140 @p135) :args (@t115 (@list false true false) (@list @t75 @t112 @t116))) % 0.38/0.60 (step @p144 :rule cnf_or_pos :args (@t118)) % 0.38/0.60 (step @p145 :rule reordering :premises (@p144) :args ((or @t97 @t82 @t86 @t107 @t117 (not @t118)))) % 0.38/0.60 (step @p146 false :rule chain_m_resolution :premises (@p145 @p143 @p129 @p123 @p62 @p55 @p38) :args (false (@list false false true true true true) (@list @t115 @t118 @t107 @t86 @t82 @t97))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------