%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO184+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO184+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:39:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t2 () (@list @t1)) % 0.38/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.59 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.59 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.38/0.59 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.59 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.59 (define @t13 () (tptp.line_connecting @t1 @t4)) % 0.38/0.59 (define @t14 () (not (tptp.apart_point_and_line @t1 @t13))) % 0.38/0.59 (define @t15 () (@list @t1 @t4)) % 0.38/0.59 (define @t16 () (forall @t15 (=> @t6 @t14))) % 0.38/0.59 (define @t17 () (not (tptp.apart_point_and_line @t4 @t13))) % 0.38/0.59 (define @t18 () (forall @t15 (=> @t6 @t17))) % 0.38/0.59 (define @t19 () (tptp.intersection_point @t1 @t4)) % 0.38/0.59 (define @t20 () (@var "V" $$unsorted)) % 0.38/0.59 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.38/0.59 (define @t22 () (@var "U" $$unsorted)) % 0.38/0.59 (define @t23 () (tptp.apart_point_and_line @t4 @t22)) % 0.38/0.59 (define @t24 () (tptp.apart_point_and_line @t1 @t20)) % 0.38/0.59 (define @t25 () (tptp.apart_point_and_line @t1 @t22)) % 0.38/0.59 (define @t26 () (or @t25 @t24 @t23 @t21)) % 0.38/0.59 (define @t27 () (tptp.distinct_lines @t22 @t20)) % 0.38/0.59 (define @t28 () (and @t6 @t27)) % 0.38/0.59 (define @t29 () (@list @t1 @t4 @t22 @t20)) % 0.38/0.59 (define @t30 () (forall @t29 (=> @t28 @t26))) % 0.38/0.59 (define @t31 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.59 (define @t32 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.59 (define @t33 () (tptp.parallel_through_point @t4 @t1)) % 0.38/0.59 (define @t34 () (@var "M" $$unsorted)) % 0.38/0.59 (define @t35 () (@var "L" $$unsorted)) % 0.38/0.59 (define @t36 () (tptp.unorthogonal_lines @t35 @t34)) % 0.38/0.59 (define @t37 () (tptp.convergent_lines @t35 @t34)) % 0.38/0.59 (define @t38 () (@list @t35 @t34)) % 0.38/0.59 (define @t39 () (@var "N" $$unsorted)) % 0.38/0.59 (define @t40 () (tptp.unorthogonal_lines @t34 @t39)) % 0.38/0.59 (define @t41 () (tptp.convergent_lines @t34 @t39)) % 0.38/0.59 (define @t42 () (tptp.unorthogonal_lines @t35 @t39)) % 0.38/0.59 (define @t43 () (tptp.convergent_lines @t35 @t39)) % 0.38/0.59 (define @t44 () (@list @t35 @t34 @t39)) % 0.38/0.59 (define @t45 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t46 () (tptp.orthogonal_through_point @t35 @t45)) % 0.38/0.59 (define @t47 () (@list @t45 @t35)) % 0.38/0.59 (define @t48 () (not @t36)) % 0.38/0.59 (define @t49 () (not @t37)) % 0.38/0.59 (define @t50 () (not @t41)) % 0.38/0.59 (define @t51 () (not @t42)) % 0.38/0.59 (define @t52 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t53 () (tptp.point @t45)) % 0.38/0.59 (define @t54 () (tptp.line @t35)) % 0.38/0.59 (define @t55 () (and @t54 @t53)) % 0.38/0.59 (define @t56 () (@list @t35 @t45)) % 0.38/0.59 (define @t57 () (not @t6)) % 0.38/0.59 (define @t58 () (tptp.equal_lines @t22 @t13)) % 0.38/0.59 (define @t59 () (tptp.incident_point_and_line @t4 @t22)) % 0.38/0.59 (define @t60 () (tptp.incident_point_and_line @t1 @t22)) % 0.38/0.59 (define @t61 () (tptp.convergent_lines @t22 @t20)) % 0.38/0.59 (define @t62 () (and @t6 @t61 @t60 @t59)) % 0.38/0.59 (define @t63 () (forall @t29 (=> @t62 @t58))) % 0.38/0.59 (define @t64 () (not @t63)) % 0.38/0.59 (define @t65 () (not @t27)) % 0.38/0.59 (define @t66 () (or @t57 @t65 @t25 @t24 @t23 @t21)) % 0.38/0.59 (define @t67 () (not @t59)) % 0.38/0.59 (define @t68 () (not @t60)) % 0.38/0.59 (define @t69 () (not @t61)) % 0.38/0.59 (define @t70 () (or @t57 @t69 @t68 @t67 @t58)) % 0.38/0.59 (define @t71 () (forall @t29 @t70)) % 0.38/0.59 (define @t72 () (@quantifiers_skolemize @t71 2)) % 0.38/0.59 (define @t73 () (@quantifiers_skolemize @t71 1)) % 0.38/0.59 (define @t74 () (or @t57 @t69 @t68 @t67)) % 0.38/0.59 (define @t75 () (tptp.incident_point_and_line @t73 @t72)) % 0.38/0.59 (define @t76 () (@quantifiers_skolemize @t71 0)) % 0.38/0.59 (define @t77 () (tptp.line_connecting @t76 @t73)) % 0.38/0.59 (define @t78 () (tptp.equal_lines @t72 @t77)) % 0.38/0.59 (define @t79 () (not @t75)) % 0.38/0.59 (define @t80 () (tptp.incident_point_and_line @t76 @t72)) % 0.38/0.59 (define @t81 () (not @t80)) % 0.38/0.59 (define @t82 () (tptp.distinct_points @t76 @t73)) % 0.38/0.59 (define @t83 () (not @t82)) % 0.38/0.59 (define @t84 () (or @t83 (not (tptp.convergent_lines @t72 (@quantifiers_skolemize @t71 3))) @t81 @t79 @t78)) % 0.38/0.59 (define @t85 () (@list true)) % 0.38/0.59 (define @t86 () (@list @t84)) % 0.38/0.59 (define @t87 () (tptp.apart_point_and_line @t73 @t72)) % 0.38/0.59 (define @t88 () (not @t87)) % 0.38/0.59 (define @t89 () (= @t75 @t88)) % 0.38/0.59 (define @t90 () (@list false false)) % 0.38/0.59 (define @t91 () (tptp.apart_point_and_line @t76 @t72)) % 0.38/0.59 (define @t92 () (not @t91)) % 0.38/0.59 (define @t93 () (= @t80 @t92)) % 0.38/0.59 (define @t94 () (tptp.distinct_lines @t72 @t77)) % 0.38/0.59 (define @t95 () (not @t94)) % 0.38/0.59 (define @t96 () (= @t78 @t95)) % 0.38/0.59 (define @t97 () (not @t96)) % 0.38/0.59 (define @t98 () (@list true false)) % 0.38/0.59 (define @t99 () (@list @t76 @t73)) % 0.38/0.59 (define @t100 () (tptp.apart_point_and_line @t73 @t77)) % 0.38/0.59 (define @t101 () (not @t100)) % 0.38/0.59 (define @t102 () (or @t83 @t101)) % 0.38/0.59 (define @t103 () (tptp.apart_point_and_line @t76 @t77)) % 0.38/0.59 (define @t104 () (not @t103)) % 0.38/0.59 (define @t105 () (or @t83 @t104)) % 0.38/0.59 (define @t106 () (or @t83 @t95 @t91 @t103 @t87 @t100)) % 0.38/0.59 (define @t107 () (not @t106)) % 0.38/0.59 (define @t108 () (forall @t29 @t66)) % 0.38/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.59 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.59 (assume @p6 (forall @t7 (=> @t12 (or @t11 @t10)))) % 0.38/0.59 (assume @p7 @t16) % 0.38/0.59 (assume @p8 @t18) % 0.38/0.59 (assume @p9 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t19 @t1))))) % 0.38/0.59 (assume @p10 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t19 @t4))))) % 0.38/0.59 (assume @p11 @t30) % 0.38/0.59 (assume @p12 (forall @t7 (=> @t31 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.38/0.59 (assume @p13 (forall @t7 (=> @t31 (or @t8 @t32)))) % 0.38/0.59 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t11)))) % 0.38/0.59 (assume @p15 (forall @t15 (=> @t9 @t12))) % 0.38/0.59 (assume @p16 (forall @t15 (not (tptp.convergent_lines @t33 @t4)))) % 0.38/0.59 (assume @p17 (forall @t15 (not (tptp.apart_point_and_line @t1 @t33)))) % 0.38/0.59 (assume @p18 (forall @t7 (=> @t8 (or @t31 @t32 @t10)))) % 0.38/0.59 (assume @p19 (forall @t38 (or @t37 @t36))) % 0.38/0.59 (assume @p20 (forall @t44 (=> (and @t37 @t36) (or (and @t43 @t42) (and @t41 @t40))))) % 0.38/0.59 (assume @p21 (forall @t47 (not (tptp.unorthogonal_lines @t46 @t35)))) % 0.38/0.59 (assume @p22 (forall @t47 (not (tptp.apart_point_and_line @t45 @t46)))) % 0.38/0.59 (assume @p23 (forall (@list @t45 @t35 @t34 @t39) (=> (tptp.distinct_lines @t35 @t34) (or (tptp.apart_point_and_line @t45 @t35) (tptp.apart_point_and_line @t45 @t34) @t42 @t40)))) % 0.38/0.59 (assume @p24 (forall @t38 (not (and @t49 @t48)))) % 0.38/0.59 (assume @p25 (forall @t44 (=> (and (or @t49 @t48) (or (not @t43) @t51)) (or @t50 (not @t40))))) % 0.38/0.59 (assume @p26 (forall @t44 (=> (and @t48 @t51) @t50))) % 0.38/0.59 (assume @p27 (forall (@list @t45 @t52) (=> (and @t53 (tptp.point @t52) (tptp.distinct_points @t45 @t52)) (tptp.line (tptp.line_connecting @t45 @t52))))) % 0.38/0.59 (assume @p28 (forall @t38 (=> (and @t54 (tptp.line @t34) @t37) (tptp.point (tptp.intersection_point @t35 @t34))))) % 0.38/0.59 (assume @p29 (forall @t56 (=> @t55 (tptp.line (tptp.parallel_through_point @t35 @t45))))) % 0.38/0.59 (assume @p30 (forall @t56 (=> @t55 (tptp.line @t46)))) % 0.38/0.59 (assume @p31 (forall @t15 (= (tptp.equal_points @t1 @t4) @t57))) % 0.38/0.59 (assume @p32 (forall @t15 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.38/0.59 (assume @p33 (forall @t15 (= (tptp.parallel_lines @t1 @t4) (not @t12)))) % 0.38/0.59 (assume @p34 (forall @t15 (= (tptp.incident_point_and_line @t1 @t4) (not @t31)))) % 0.38/0.59 (assume @p35 (forall @t15 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.38/0.59 (assume @p36 @t64) % 0.38/0.59 (assume @p37 true) % 0.38/0.59 (step @p38 :rule aci_norm :args ((= (or (or @t57 @t65) @t26) @t66))) % 0.38/0.59 (step @p39 :rule refl :args (@t26)) % 0.38/0.59 (step @p40 :rule bool-and-de-morgan :args (@t6 @t27 true)) % 0.38/0.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t28) @t26))) % 0.38/0.59 (step @p42 :rule trans :premises (@p41 @p38)) % 0.38/0.59 (step @p43 :rule bool-impl-elim :args (@t28 @t26)) % 0.38/0.59 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.59 (step @p45 :rule cong :premises (@p44) :args (@t30)) % 0.38/0.59 (step @p46 :rule eq_resolve :premises (@p11 @p45)) % 0.38/0.59 (step @p47 :rule instantiate :premises (@p34) :args ((@list @t73 @t72))) % 0.38/0.59 (step @p48 :rule aci_norm :args ((= (or @t74 @t58) @t70))) % 0.38/0.59 (step @p49 :rule refl :args (@t58)) % 0.38/0.59 (step @p50 :rule aci_norm :args ((= (or @t57 (or @t69 (or @t68 @t67))) @t74))) % 0.38/0.59 (step @p51 :rule bool-and-de-morgan :args (@t60 @t59 true)) % 0.38/0.59 (step @p52 :rule refl :args (@t69)) % 0.38/0.59 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t69 (not (and @t60 @t59))))) % 0.38/0.59 (step @p54 :rule bool-and-de-morgan :args (@t61 @t60 (and @t59))) % 0.38/0.59 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.59 (step @p56 :rule refl :args (@t57)) % 0.38/0.59 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t57 (not (and @t61 @t60 @t59))))) % 0.38/0.59 (step @p58 :rule bool-and-de-morgan :args (@t6 @t61 (and @t60 @t59))) % 0.38/0.59 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.59 (step @p60 :rule trans :premises (@p59 @p50)) % 0.38/0.59 (step @p61 :rule nary_cong :premises (@p60 @p49) :args ((or (not @t62) @t58))) % 0.38/0.59 (step @p62 :rule trans :premises (@p61 @p48)) % 0.38/0.59 (step @p63 :rule bool-impl-elim :args (@t62 @t58)) % 0.38/0.59 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.59 (step @p65 :rule cong :premises (@p64) :args (@t63)) % 0.38/0.59 (step @p66 :rule cong :premises (@p65) :args (@t64)) % 0.38/0.59 (step @p67 :rule eq_resolve :premises (@p36 @p66)) % 0.38/0.59 (step @p68 :rule skolemize :premises (@p67)) % 0.38/0.59 (step @p69 :rule bool-double-not-elim :args (@t75)) % 0.38/0.59 (step @p70 :rule refl :args (@t84)) % 0.38/0.59 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t84 (not @t79)))) % 0.38/0.59 (step @p72 :rule cnf_or_neg :args (@t84 3)) % 0.38/0.59 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.38/0.59 (step @p74 :rule reordering :premises (@p73) :args ((or @t75 @t84))) % 0.38/0.59 (step @p75 :rule chain_m_resolution :premises (@p74 @p68) :args (@t75 @t85 @t86)) % 0.38/0.59 (step @p76 :rule cnf_equiv_pos1 :args (@t89)) % 0.38/0.59 (step @p77 :rule reordering :premises (@p76) :args ((or @t79 @t88 (not @t89)))) % 0.38/0.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p47) :args (@t88 @t90 (@list @t75 @t89))) % 0.38/0.59 (step @p79 :rule instantiate :premises (@p34) :args ((@list @t76 @t72))) % 0.38/0.59 (step @p80 :rule bool-double-not-elim :args (@t80)) % 0.38/0.59 (step @p81 :rule nary_cong :premises (@p70 @p80) :args ((or @t84 (not @t81)))) % 0.38/0.59 (step @p82 :rule cnf_or_neg :args (@t84 2)) % 0.38/0.59 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.38/0.59 (step @p84 :rule reordering :premises (@p83) :args ((or @t80 @t84))) % 0.38/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p68) :args (@t80 @t85 @t86)) % 0.38/0.59 (step @p86 :rule cnf_equiv_pos1 :args (@t93)) % 0.38/0.59 (step @p87 :rule reordering :premises (@p86) :args ((or @t81 @t92 (not @t93)))) % 0.38/0.59 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p79) :args (@t92 @t90 (@list @t80 @t93))) % 0.38/0.59 (step @p89 :rule instantiate :premises (@p32) :args ((@list @t72 @t77))) % 0.38/0.59 (step @p90 :rule cnf_or_neg :args (@t84 4)) % 0.38/0.59 (step @p91 :rule chain_m_resolution :premises (@p90 @p68) :args ((not @t78) @t85 @t86)) % 0.38/0.59 (step @p92 :rule bool-double-not-elim :args (@t94)) % 0.38/0.59 (step @p93 :rule refl :args (@t78)) % 0.38/0.59 (step @p94 :rule refl :args (@t97)) % 0.38/0.59 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args ((or @t97 @t78 (not @t95)))) % 0.38/0.59 (step @p96 :rule cnf_equiv_pos2 :args (@t96)) % 0.38/0.59 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.38/0.59 (step @p98 :rule reordering :premises (@p97) :args ((or @t78 @t94 @t97))) % 0.38/0.59 (step @p99 :rule chain_m_resolution :premises (@p98 @p91 @p89) :args (@t94 @t98 (@list @t78 @t96))) % 0.38/0.59 (step @p100 :rule bool-impl-elim :args (@t6 @t17)) % 0.38/0.59 (step @p101 :rule cong :premises (@p100) :args (@t18)) % 0.38/0.59 (step @p102 :rule eq_resolve :premises (@p8 @p101)) % 0.38/0.59 (step @p103 :rule instantiate :premises (@p102) :args (@t99)) % 0.38/0.59 (step @p104 :rule bool-double-not-elim :args (@t82)) % 0.38/0.59 (step @p105 :rule nary_cong :premises (@p70 @p104) :args ((or @t84 (not @t83)))) % 0.38/0.59 (step @p106 :rule cnf_or_neg :args (@t84 0)) % 0.38/0.59 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.38/0.59 (step @p108 :rule reordering :premises (@p107) :args ((or @t82 @t84))) % 0.38/0.59 (step @p109 :rule chain_m_resolution :premises (@p108 @p68) :args (@t82 @t85 @t86)) % 0.38/0.59 (step @p110 :rule cnf_or_pos :args (@t102)) % 0.38/0.59 (step @p111 :rule reordering :premises (@p110) :args ((or @t83 @t101 (not @t102)))) % 0.38/0.59 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p103) :args (@t101 @t90 (@list @t82 @t102))) % 0.38/0.59 (step @p113 :rule bool-impl-elim :args (@t6 @t14)) % 0.38/0.59 (step @p114 :rule cong :premises (@p113) :args (@t16)) % 0.38/0.59 (step @p115 :rule eq_resolve :premises (@p7 @p114)) % 0.38/0.59 (step @p116 :rule instantiate :premises (@p115) :args (@t99)) % 0.38/0.59 (step @p117 :rule cnf_or_pos :args (@t105)) % 0.38/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t83 @t104 (not @t105)))) % 0.38/0.59 (step @p119 :rule chain_m_resolution :premises (@p118 @p109 @p116) :args (@t104 @t90 (@list @t82 @t105))) % 0.38/0.59 (step @p120 :rule cnf_or_pos :args (@t106)) % 0.38/0.59 (step @p121 :rule reordering :premises (@p120) :args ((or @t83 @t103 @t100 @t95 @t91 @t87 @t107))) % 0.38/0.59 (step @p122 :rule chain_m_resolution :premises (@p121 @p109 @p119 @p112 @p99 @p88 @p78) :args (@t107 (@list false true true false true true) (@list @t82 @t103 @t100 @t94 @t91 @t87))) % 0.38/0.59 (assume-push @p129 @t108) % 0.38/0.59 (step @p124 :rule instantiate :premises (@p46) :args ((@list @t76 @t73 @t72 @t77))) % 0.38/0.59 (step-pop @p130 :rule scope :premises (@p124)) % 0.38/0.59 (step @p125 :rule process_scope :premises (@p130) :args (@t106)) % 0.38/0.59 (step @p127 :rule implies_elim :premises (@p125)) % 0.38/0.59 (step @p128 false :rule chain_m_resolution :premises (@p127 @p122 @p46) :args (false @t98 (@list @t106 @t108))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------