%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO224+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 : 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 08:16:50 AM UTC 2026 % Result : Theorem 0.47s 0.67s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO224+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 : n027.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 23:40:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.67 % SZS status Theorem % 0.47/0.67 % SZS output start Proof % 0.47/0.67 ( % 0.47/0.67 (declare-sort $$unsorted 0) % 0.47/0.67 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.67 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.67 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.67 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.67 (declare-const tptp.line (-> $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.point (-> $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (define @t1 () (@var "X" $$unsorted)) % 0.47/0.67 (define @t2 () (@list @t1)) % 0.47/0.67 (define @t3 () (@var "Z" $$unsorted)) % 0.47/0.67 (define @t4 () (@var "Y" $$unsorted)) % 0.47/0.67 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.47/0.67 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.47/0.67 (define @t7 () (@list @t1 @t4 @t3)) % 0.47/0.67 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.47/0.67 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.47/0.67 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.47/0.67 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.47/0.67 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.47/0.67 (define @t13 () (tptp.line_connecting @t1 @t4)) % 0.47/0.67 (define @t14 () (@list @t1 @t4)) % 0.47/0.67 (define @t15 () (tptp.intersection_point @t1 @t4)) % 0.47/0.67 (define @t16 () (not (tptp.apart_point_and_line @t15 @t4))) % 0.47/0.67 (define @t17 () (forall @t14 (=> @t12 @t16))) % 0.47/0.67 (define @t18 () (@var "V" $$unsorted)) % 0.47/0.67 (define @t19 () (@var "U" $$unsorted)) % 0.47/0.67 (define @t20 () (tptp.apart_point_and_line @t1 @t4)) % 0.47/0.67 (define @t21 () (tptp.apart_point_and_line @t1 @t3)) % 0.47/0.67 (define @t22 () (tptp.parallel_through_point @t4 @t1)) % 0.47/0.67 (define @t23 () (@var "M" $$unsorted)) % 0.47/0.67 (define @t24 () (@var "L" $$unsorted)) % 0.47/0.67 (define @t25 () (tptp.unorthogonal_lines @t24 @t23)) % 0.47/0.67 (define @t26 () (tptp.convergent_lines @t24 @t23)) % 0.47/0.67 (define @t27 () (@list @t24 @t23)) % 0.47/0.67 (define @t28 () (@var "N" $$unsorted)) % 0.47/0.67 (define @t29 () (tptp.unorthogonal_lines @t23 @t28)) % 0.47/0.67 (define @t30 () (tptp.convergent_lines @t23 @t28)) % 0.47/0.67 (define @t31 () (tptp.unorthogonal_lines @t24 @t28)) % 0.47/0.67 (define @t32 () (tptp.convergent_lines @t24 @t28)) % 0.47/0.67 (define @t33 () (@list @t24 @t23 @t28)) % 0.47/0.67 (define @t34 () (@var "A" $$unsorted)) % 0.47/0.67 (define @t35 () (tptp.orthogonal_through_point @t24 @t34)) % 0.47/0.67 (define @t36 () (@list @t34 @t24)) % 0.47/0.67 (define @t37 () (not @t25)) % 0.47/0.67 (define @t38 () (not @t26)) % 0.47/0.67 (define @t39 () (not @t30)) % 0.47/0.67 (define @t40 () (not @t31)) % 0.47/0.67 (define @t41 () (@var "B" $$unsorted)) % 0.47/0.67 (define @t42 () (tptp.point @t34)) % 0.47/0.67 (define @t43 () (tptp.point (tptp.intersection_point @t24 @t23))) % 0.47/0.67 (define @t44 () (tptp.line @t23)) % 0.47/0.67 (define @t45 () (tptp.line @t24)) % 0.47/0.67 (define @t46 () (and @t45 @t44 @t26)) % 0.47/0.67 (define @t47 () (forall @t27 (=> @t46 @t43))) % 0.47/0.67 (define @t48 () (and @t45 @t42)) % 0.47/0.67 (define @t49 () (@list @t24 @t34)) % 0.47/0.67 (define @t50 () (tptp.line @t35)) % 0.47/0.67 (define @t51 () (forall @t49 (=> @t48 @t50))) % 0.47/0.67 (define @t52 () (forall @t14 (= (tptp.incident_point_and_line @t1 @t4) (not @t20)))) % 0.47/0.67 (define @t53 () (tptp.incident_point_and_line @t3 @t4)) % 0.47/0.67 (define @t54 () (tptp.point @t3)) % 0.47/0.67 (define @t55 () (and @t54 @t53)) % 0.47/0.67 (define @t56 () (@list @t3)) % 0.47/0.67 (define @t57 () (exists @t56 @t55)) % 0.47/0.67 (define @t58 () (tptp.line @t4)) % 0.47/0.67 (define @t59 () (tptp.point @t1)) % 0.47/0.67 (define @t60 () (and @t59 @t58)) % 0.47/0.67 (define @t61 () (=> @t60 @t57)) % 0.47/0.67 (define @t62 () (forall @t14 @t61)) % 0.47/0.67 (define @t63 () (not @t62)) % 0.47/0.67 (define @t64 () (not @t54)) % 0.47/0.67 (define @t65 () (not (forall @t56 (or @t64 (not @t53))))) % 0.47/0.67 (define @t66 () (not @t58)) % 0.47/0.67 (define @t67 () (or @t66 @t65)) % 0.47/0.67 (define @t68 () (forall (@list @t4) @t67)) % 0.47/0.67 (define @t69 () (not @t59)) % 0.47/0.67 (define @t70 () (forall @t2 @t69)) % 0.47/0.67 (define @t71 () (or @t69 @t67)) % 0.47/0.67 (define @t72 () (or @t69 @t66 @t65)) % 0.47/0.67 (define @t73 () (forall @t56 (not @t55))) % 0.47/0.67 (define @t74 () (not @t73)) % 0.47/0.67 (define @t75 () (@quantifiers_skolemize @t68 0)) % 0.47/0.67 (define @t76 () (forall @t56 (or @t64 (not (tptp.incident_point_and_line @t3 @t75))))) % 0.47/0.67 (define @t77 () (not @t76)) % 0.47/0.67 (define @t78 () (tptp.line @t75)) % 0.47/0.67 (define @t79 () (not @t78)) % 0.47/0.67 (define @t80 () (or @t79 @t77)) % 0.47/0.67 (define @t81 () (@list true)) % 0.47/0.67 (define @t82 () (@list @t80)) % 0.47/0.67 (define @t83 () (@quantifiers_skolemize @t70 0)) % 0.47/0.67 (define @t84 () (tptp.orthogonal_through_point @t75 @t83)) % 0.47/0.67 (define @t85 () (tptp.intersection_point @t84 @t75)) % 0.47/0.67 (define @t86 () (not @t44)) % 0.47/0.67 (define @t87 () (not @t45)) % 0.47/0.67 (define @t88 () (or @t87 @t86 @t38)) % 0.47/0.67 (define @t89 () (@list @t84 @t75)) % 0.47/0.67 (define @t90 () (tptp.unorthogonal_lines @t84 @t75)) % 0.47/0.67 (define @t91 () (tptp.convergent_lines @t84 @t75)) % 0.47/0.67 (define @t92 () (or @t91 @t90)) % 0.47/0.67 (define @t93 () (@list true false)) % 0.47/0.67 (define @t94 () (not @t42)) % 0.47/0.67 (define @t95 () (tptp.point @t83)) % 0.47/0.67 (define @t96 () (not @t70)) % 0.47/0.67 (define @t97 () (not @t95)) % 0.47/0.67 (define @t98 () (not @t97)) % 0.47/0.67 (define @t99 () (tptp.line @t84)) % 0.47/0.67 (define @t100 () (or @t79 @t97 @t99)) % 0.47/0.67 (define @t101 () (tptp.point @t85)) % 0.47/0.67 (define @t102 () (not @t91)) % 0.47/0.67 (define @t103 () (not @t99)) % 0.47/0.67 (define @t104 () (or @t103 @t79 @t102 @t101)) % 0.47/0.67 (define @t105 () (tptp.incident_point_and_line @t85 @t75)) % 0.47/0.67 (define @t106 () (not @t105)) % 0.47/0.67 (define @t107 () (not @t101)) % 0.47/0.67 (define @t108 () (or @t107 @t106)) % 0.47/0.67 (define @t109 () (@list false false)) % 0.47/0.67 (define @t110 () (tptp.apart_point_and_line @t85 @t75)) % 0.47/0.67 (define @t111 () (not @t110)) % 0.47/0.67 (define @t112 () (or @t102 @t111)) % 0.47/0.67 (define @t113 () (= @t111 @t105)) % 0.47/0.67 (define @t114 () (not @t113)) % 0.47/0.67 (define @t115 () (= @t105 @t111)) % 0.47/0.67 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.47/0.67 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.47/0.67 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.47/0.67 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.47/0.67 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.47/0.67 (assume @p6 (forall @t7 (=> @t12 (or @t11 @t10)))) % 0.47/0.67 (assume @p7 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t1 @t13))))) % 0.47/0.67 (assume @p8 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t4 @t13))))) % 0.47/0.67 (assume @p9 (forall @t14 (=> @t12 (not (tptp.apart_point_and_line @t15 @t1))))) % 0.47/0.67 (assume @p10 @t17) % 0.47/0.67 (assume @p11 (forall (@list @t1 @t4 @t19 @t18) (=> (and @t6 (tptp.distinct_lines @t19 @t18)) (or (tptp.apart_point_and_line @t1 @t19) (tptp.apart_point_and_line @t1 @t18) (tptp.apart_point_and_line @t4 @t19) (tptp.apart_point_and_line @t4 @t18))))) % 0.47/0.67 (assume @p12 (forall @t7 (=> @t20 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.47/0.67 (assume @p13 (forall @t7 (=> @t20 (or @t8 @t21)))) % 0.47/0.67 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t11)))) % 0.47/0.67 (assume @p15 (forall @t14 (=> @t9 @t12))) % 0.47/0.67 (assume @p16 (forall @t14 (not (tptp.convergent_lines @t22 @t4)))) % 0.47/0.67 (assume @p17 (forall @t14 (not (tptp.apart_point_and_line @t1 @t22)))) % 0.47/0.67 (assume @p18 (forall @t7 (=> @t8 (or @t20 @t21 @t10)))) % 0.47/0.67 (assume @p19 (forall @t27 (or @t26 @t25))) % 0.47/0.67 (assume @p20 (forall @t33 (=> (and @t26 @t25) (or (and @t32 @t31) (and @t30 @t29))))) % 0.47/0.67 (assume @p21 (forall @t36 (not (tptp.unorthogonal_lines @t35 @t24)))) % 0.47/0.67 (assume @p22 (forall @t36 (not (tptp.apart_point_and_line @t34 @t35)))) % 0.47/0.67 (assume @p23 (forall (@list @t34 @t24 @t23 @t28) (=> (tptp.distinct_lines @t24 @t23) (or (tptp.apart_point_and_line @t34 @t24) (tptp.apart_point_and_line @t34 @t23) @t31 @t29)))) % 0.47/0.67 (assume @p24 (forall @t27 (not (and @t38 @t37)))) % 0.47/0.67 (assume @p25 (forall @t33 (=> (and (or @t38 @t37) (or (not @t32) @t40)) (or @t39 (not @t29))))) % 0.47/0.67 (assume @p26 (forall @t33 (=> (and @t37 @t40) @t39))) % 0.47/0.67 (assume @p27 (forall (@list @t34 @t41) (=> (and @t42 (tptp.point @t41) (tptp.distinct_points @t34 @t41)) (tptp.line (tptp.line_connecting @t34 @t41))))) % 0.47/0.67 (assume @p28 @t47) % 0.47/0.67 (assume @p29 (forall @t49 (=> @t48 (tptp.line (tptp.parallel_through_point @t24 @t34))))) % 0.47/0.67 (assume @p30 @t51) % 0.47/0.67 (assume @p31 (forall @t14 (= (tptp.equal_points @t1 @t4) (not @t6)))) % 0.47/0.67 (assume @p32 (forall @t14 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.47/0.67 (assume @p33 (forall @t14 (= (tptp.parallel_lines @t1 @t4) (not @t12)))) % 0.47/0.67 (assume @p34 @t52) % 0.47/0.67 (assume @p35 (forall @t14 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.47/0.67 (assume @p36 @t63) % 0.47/0.67 (assume @p37 true) % 0.47/0.67 (step @p38 :rule quant-miniscope-or :args ((= (forall @t14 @t71) (or @t70 @t68)))) % 0.47/0.67 (step @p39 :rule aci_norm :args ((= @t72 @t71))) % 0.47/0.67 (step @p40 :rule cong :premises (@p39) :args ((forall @t14 @t72))) % 0.47/0.67 (step @p41 :rule trans :premises (@p40 @p38)) % 0.47/0.67 (step @p42 :rule aci_norm :args ((= (or (or @t69 @t66) @t65) @t72))) % 0.47/0.67 (step @p43 :rule refl :args (@t65)) % 0.47/0.67 (step @p44 :rule bool-and-de-morgan :args (@t59 @t58 true)) % 0.47/0.67 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t60) @t65))) % 0.47/0.67 (step @p46 :rule trans :premises (@p45 @p42)) % 0.47/0.67 (step @p47 :rule bool-impl-elim :args (@t60 @t65)) % 0.47/0.67 (step @p48 :rule trans :premises (@p47 @p46)) % 0.47/0.67 (step @p49 :rule cong :premises (@p48) :args ((forall @t14 (=> @t60 @t65)))) % 0.47/0.67 (step @p50 :rule trans :premises (@p49 @p41)) % 0.47/0.67 (step @p51 :rule bool-and-de-morgan :args (@t54 @t53 true)) % 0.47/0.67 (step @p52 :rule cong :premises (@p51) :args (@t73)) % 0.47/0.67 (step @p53 :rule cong :premises (@p52) :args (@t74)) % 0.47/0.67 (step @p54 :rule exists-elim :args ((= @t57 @t74))) % 0.47/0.67 (step @p55 :rule trans :premises (@p54 @p53)) % 0.47/0.67 (step @p56 :rule refl :args (@t60)) % 0.47/0.67 (step @p57 :rule cong :premises (@p56 @p55) :args (@t61)) % 0.47/0.67 (step @p58 :rule cong :premises (@p57) :args (@t62)) % 0.47/0.67 (step @p59 :rule trans :premises (@p58 @p50)) % 0.47/0.67 (step @p60 :rule cong :premises (@p59) :args (@t63)) % 0.47/0.67 (step @p61 :rule eq_resolve :premises (@p36 @p60)) % 0.47/0.67 (step @p62 :rule not_or_elim :premises (@p61) :args (1)) % 0.47/0.67 (step @p63 :rule skolemize :premises (@p62)) % 0.47/0.67 (step @p64 :rule bool-double-not-elim :args (@t76)) % 0.47/0.67 (step @p65 :rule refl :args (@t80)) % 0.47/0.67 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t80 (not @t77)))) % 0.47/0.67 (step @p67 :rule cnf_or_neg :args (@t80 1)) % 0.47/0.67 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.47/0.67 (step @p69 :rule reordering :premises (@p68) :args ((or @t76 @t80))) % 0.47/0.67 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t76 @t81 @t82)) % 0.47/0.67 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t85))) % 0.47/0.67 (step @p72 :rule aci_norm :args ((= (or @t88 @t43) (or @t87 @t86 @t38 @t43)))) % 0.47/0.67 (step @p73 :rule refl :args (@t43)) % 0.47/0.67 (step @p74 :rule aci_norm :args ((= (or @t87 (or @t86 @t38)) @t88))) % 0.47/0.67 (step @p75 :rule bool-and-de-morgan :args (@t44 @t26 true)) % 0.47/0.67 (step @p76 :rule refl :args (@t87)) % 0.47/0.67 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t87 (not (and @t44 @t26))))) % 0.47/0.67 (step @p78 :rule bool-and-de-morgan :args (@t45 @t44 (and @t26))) % 0.47/0.67 (step @p79 :rule trans :premises (@p78 @p77)) % 0.47/0.67 (step @p80 :rule trans :premises (@p79 @p74)) % 0.47/0.67 (step @p81 :rule nary_cong :premises (@p80 @p73) :args ((or (not @t46) @t43))) % 0.47/0.67 (step @p82 :rule trans :premises (@p81 @p72)) % 0.47/0.67 (step @p83 :rule bool-impl-elim :args (@t46 @t43)) % 0.47/0.67 (step @p84 :rule trans :premises (@p83 @p82)) % 0.47/0.67 (step @p85 :rule cong :premises (@p84) :args (@t47)) % 0.47/0.67 (step @p86 :rule eq_resolve :premises (@p28 @p85)) % 0.47/0.67 (step @p87 :rule instantiate :premises (@p86) :args (@t89)) % 0.47/0.67 (step @p88 :rule instantiate :premises (@p19) :args (@t89)) % 0.47/0.67 (step @p89 :rule instantiate :premises (@p21) :args ((@list @t83 @t75))) % 0.47/0.67 (step @p90 :rule cnf_or_pos :args (@t92)) % 0.47/0.67 (step @p91 :rule reordering :premises (@p90) :args ((or @t90 @t91 (not @t92)))) % 0.47/0.67 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p88) :args (@t91 @t93 (@list @t90 @t92))) % 0.47/0.67 (step @p93 :rule aci_norm :args ((= (or (or @t87 @t94) @t50) (or @t87 @t94 @t50)))) % 0.47/0.67 (step @p94 :rule refl :args (@t50)) % 0.47/0.67 (step @p95 :rule bool-and-de-morgan :args (@t45 @t42 true)) % 0.47/0.67 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or (not @t48) @t50))) % 0.47/0.67 (step @p97 :rule trans :premises (@p96 @p93)) % 0.47/0.67 (step @p98 :rule bool-impl-elim :args (@t48 @t50)) % 0.47/0.67 (step @p99 :rule trans :premises (@p98 @p97)) % 0.47/0.67 (step @p100 :rule cong :premises (@p99) :args (@t51)) % 0.47/0.67 (step @p101 :rule eq_resolve :premises (@p30 @p100)) % 0.47/0.67 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t75 @t83))) % 0.47/0.67 (step @p103 :rule bool-double-not-elim :args (@t78)) % 0.47/0.67 (step @p104 :rule nary_cong :premises (@p65 @p103) :args ((or @t80 (not @t79)))) % 0.47/0.67 (step @p105 :rule cnf_or_neg :args (@t80 0)) % 0.47/0.67 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.47/0.67 (step @p107 :rule reordering :premises (@p106) :args ((or @t78 @t80))) % 0.47/0.67 (step @p108 :rule chain_m_resolution :premises (@p107 @p63) :args (@t78 @t81 @t82)) % 0.47/0.67 (step @p109 :rule not_or_elim :premises (@p61) :args (0)) % 0.47/0.67 (step @p110 :rule refl :args (@t95)) % 0.47/0.67 (step @p111 :rule bool-double-not-elim :args (@t70)) % 0.47/0.67 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t96) @t95))) % 0.47/0.67 (step @p113 :rule bool-double-not-elim :args (@t95)) % 0.47/0.67 (step @p114 :rule refl :args (@t96)) % 0.47/0.67 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t96 @t98))) % 0.47/0.67 (assume-push @p158 @t96) % 0.47/0.67 (step @p117 :rule skolemize :premises (@p109)) % 0.47/0.67 (step-pop @p159 :rule scope :premises (@p117)) % 0.47/0.67 (step @p118 :rule process_scope :premises (@p159) :args (@t98)) % 0.47/0.67 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 0.47/0.67 (step @p121 :rule implies_elim :premises (@p120)) % 0.47/0.67 (step @p122 :rule eq_resolve :premises (@p121 @p112)) % 0.47/0.67 (step @p123 :rule chain_m_resolution :premises (@p122 @p109) :args (@t95 @t81 (@list @t70))) % 0.47/0.67 (step @p124 :rule cnf_or_pos :args (@t100)) % 0.47/0.67 (step @p125 :rule reordering :premises (@p124) :args ((or @t97 @t79 @t99 (not @t100)))) % 0.47/0.67 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p108 @p102) :args (@t99 (@list false false false) (@list @t95 @t78 @t100))) % 0.47/0.67 (step @p127 :rule cnf_or_pos :args (@t104)) % 0.47/0.67 (step @p128 :rule reordering :premises (@p127) :args ((or @t79 @t103 @t102 @t101 (not @t104)))) % 0.47/0.67 (step @p129 :rule chain_m_resolution :premises (@p128 @p108 @p126 @p92 @p87) :args (@t101 (@list false false false false) (@list @t78 @t99 @t91 @t104))) % 0.47/0.67 (step @p130 :rule cnf_or_pos :args (@t108)) % 0.47/0.67 (step @p131 :rule reordering :premises (@p130) :args ((or @t107 @t106 (not @t108)))) % 0.47/0.67 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p71) :args (@t106 @t109 (@list @t101 @t108))) % 0.47/0.67 (step @p133 :rule bool-impl-elim :args (@t12 @t16)) % 0.47/0.67 (step @p134 :rule cong :premises (@p133) :args (@t17)) % 0.47/0.67 (step @p135 :rule eq_resolve :premises (@p10 @p134)) % 0.47/0.67 (step @p136 :rule instantiate :premises (@p135) :args (@t89)) % 0.47/0.67 (step @p137 :rule cnf_or_pos :args (@t112)) % 0.47/0.67 (step @p138 :rule reordering :premises (@p137) :args ((or @t102 @t111 (not @t112)))) % 0.47/0.67 (step @p139 :rule chain_m_resolution :premises (@p138 @p92 @p136) :args (@t111 @t109 (@list @t91 @t112))) % 0.47/0.67 (step @p140 :rule refl :args (@t105)) % 0.47/0.67 (step @p141 :rule bool-double-not-elim :args (@t110)) % 0.47/0.67 (step @p142 :rule refl :args (@t114)) % 0.47/0.67 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args ((or @t114 (not @t111) @t105))) % 0.47/0.67 (step @p144 :rule cnf_equiv_pos1 :args (@t113)) % 0.47/0.67 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.47/0.67 (step @p146 :rule reordering :premises (@p145) :args ((or @t110 @t105 @t114))) % 0.47/0.67 (step @p147 :rule chain_m_resolution :premises (@p146 @p139 @p132) :args (@t114 (@list true true) (@list @t110 @t105))) % 0.47/0.67 (step @p148 :rule eq-symm :args (@t105 @t111)) % 0.47/0.67 (step @p149 :rule refl :args (@t52)) % 0.47/0.67 (step @p150 :rule cong :premises (@p149 @p148) :args ((=> @t52 @t115))) % 0.47/0.67 (assume-push @p160 @t52) % 0.47/0.67 (step @p152 :rule instantiate :premises (@p34) :args ((@list @t85 @t75))) % 0.47/0.67 (step-pop @p161 :rule scope :premises (@p152)) % 0.47/0.67 (step @p153 :rule process_scope :premises (@p161) :args (@t115)) % 0.47/0.67 (step @p155 :rule eq_resolve :premises (@p153 @p150)) % 0.47/0.67 (step @p156 :rule implies_elim :premises (@p155)) % 0.47/0.67 (step @p157 false :rule chain_m_resolution :premises (@p156 @p147 @p34) :args (false @t93 (@list @t113 @t52))) % 0.47/0.67 ) % 0.47/0.67 % SZS output end Proof % 0.47/0.67 % cvc5 exiting %------------------------------------------------------------------------------