%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO088+1 : TPTP v9.2.1. Released v2.4.0. % 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 08:16:19 AM UTC 2026 % Result : Theorem 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO088+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n002.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:18:33 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.open (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (define @t1 () (@var "C" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "P" $$unsorted)) % 0.45/0.66 (define @t3 () (tptp.incident_c @t2 @t1)) % 0.45/0.66 (define @t4 () (@var "C1" $$unsorted)) % 0.45/0.66 (define @t5 () (tptp.incident_c @t2 @t4)) % 0.45/0.66 (define @t6 () (@list @t2)) % 0.45/0.66 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.45/0.66 (define @t8 () (tptp.part_of @t4 @t1)) % 0.45/0.66 (define @t9 () (= @t8 @t7)) % 0.45/0.66 (define @t10 () (@list @t1 @t4)) % 0.45/0.66 (define @t11 () (forall @t10 @t9)) % 0.45/0.66 (define @t12 () (@var "C2" $$unsorted)) % 0.45/0.66 (define @t13 () (@var "Q" $$unsorted)) % 0.45/0.66 (define @t14 () (tptp.incident_c @t13 @t4)) % 0.45/0.66 (define @t15 () (tptp.incident_c @t13 @t1)) % 0.45/0.66 (define @t16 () (@list @t13)) % 0.45/0.66 (define @t17 () (= @t1 (tptp.sum @t4 @t12))) % 0.45/0.66 (define @t18 () (tptp.part_of @t12 @t4)) % 0.45/0.66 (define @t19 () (tptp.part_of @t4 @t12)) % 0.45/0.66 (define @t20 () (or @t19 @t18)) % 0.45/0.66 (define @t21 () (tptp.incident_c @t2 @t12)) % 0.45/0.66 (define @t22 () (tptp.part_of @t12 @t1)) % 0.45/0.66 (define @t23 () (and @t8 @t22 @t5 @t21)) % 0.45/0.66 (define @t24 () (@list @t4 @t12)) % 0.45/0.66 (define @t25 () (forall @t24 (=> @t23 @t20))) % 0.45/0.66 (define @t26 () (and @t3 @t25)) % 0.45/0.66 (define @t27 () (tptp.end_point @t2 @t1)) % 0.45/0.66 (define @t28 () (= @t27 @t26)) % 0.45/0.66 (define @t29 () (@list @t2 @t1)) % 0.45/0.66 (define @t30 () (forall @t29 @t28)) % 0.45/0.66 (define @t31 () (not @t27)) % 0.45/0.66 (define @t32 () (tptp.inner_point @t2 @t1)) % 0.45/0.66 (define @t33 () (tptp.end_point @t13 @t4)) % 0.45/0.66 (define @t34 () (tptp.end_point @t13 @t1)) % 0.45/0.66 (define @t35 () (exists @t6 @t27)) % 0.45/0.66 (define @t36 () (tptp.closed @t1)) % 0.45/0.66 (define @t37 () (@list @t1)) % 0.45/0.66 (define @t38 () (@var "C3" $$unsorted)) % 0.45/0.66 (define @t39 () (tptp.meet @t2 @t4 @t12)) % 0.45/0.66 (define @t40 () (@list @t1 @t2)) % 0.45/0.66 (define @t41 () (@var "R" $$unsorted)) % 0.45/0.66 (define @t42 () (= @t2 @t13)) % 0.45/0.66 (define @t43 () (@var "Cpp" $$unsorted)) % 0.45/0.66 (define @t44 () (tptp.end_point @t2 @t43)) % 0.45/0.66 (define @t45 () (tptp.incident_c @t2 @t43)) % 0.45/0.66 (define @t46 () (tptp.part_of @t43 @t1)) % 0.45/0.66 (define @t47 () (and @t46 @t27 @t45)) % 0.45/0.66 (define @t48 () (@list @t1 @t43 @t2)) % 0.45/0.66 (define @t49 () (forall @t48 (=> @t47 @t44))) % 0.45/0.66 (define @t50 () (not @t49)) % 0.45/0.66 (define @t51 () (not @t45)) % 0.45/0.66 (define @t52 () (not @t46)) % 0.45/0.66 (define @t53 () (or @t52 @t31 @t51 @t44)) % 0.45/0.66 (define @t54 () (forall @t48 @t53)) % 0.45/0.66 (define @t55 () (@quantifiers_skolemize @t54 1)) % 0.45/0.66 (define @t56 () (@quantifiers_skolemize @t54 0)) % 0.45/0.66 (define @t57 () (or @t52 @t31 @t51)) % 0.45/0.66 (define @t58 () (tptp.part_of @t55 @t56)) % 0.45/0.66 (define @t59 () (@quantifiers_skolemize @t54 2)) % 0.45/0.66 (define @t60 () (tptp.end_point @t59 @t55)) % 0.45/0.66 (define @t61 () (tptp.incident_c @t59 @t55)) % 0.45/0.66 (define @t62 () (not @t61)) % 0.45/0.66 (define @t63 () (tptp.end_point @t59 @t56)) % 0.45/0.66 (define @t64 () (not @t63)) % 0.45/0.66 (define @t65 () (not @t58)) % 0.45/0.66 (define @t66 () (or @t65 @t64 @t62 @t60)) % 0.45/0.66 (define @t67 () (@list true)) % 0.45/0.66 (define @t68 () (@list @t66)) % 0.45/0.66 (define @t69 () (tptp.incident_c @t2 @t56)) % 0.45/0.66 (define @t70 () (tptp.incident_c @t2 @t55)) % 0.45/0.66 (define @t71 () (forall @t6 (or (not @t70) @t69))) % 0.45/0.66 (define @t72 () (= @t58 @t71)) % 0.45/0.66 (define @t73 () (@list false false)) % 0.45/0.66 (define @t74 () (not (tptp.incident_c @t59 @t12))) % 0.45/0.66 (define @t75 () (not (tptp.incident_c @t59 @t4))) % 0.45/0.66 (define @t76 () (forall @t24 (or (not (tptp.part_of @t4 @t55)) (not (tptp.part_of @t12 @t55)) @t75 @t74 @t19 @t18))) % 0.45/0.66 (define @t77 () (@quantifiers_skolemize @t76 0)) % 0.45/0.66 (define @t78 () (not (tptp.incident_c @t2 @t77))) % 0.45/0.66 (define @t79 () (forall @t6 (or @t78 @t69))) % 0.45/0.66 (define @t80 () (@quantifiers_skolemize @t79 0)) % 0.45/0.66 (define @t81 () (@list @t80)) % 0.45/0.66 (define @t82 () (not @t21)) % 0.45/0.66 (define @t83 () (not @t5)) % 0.45/0.66 (define @t84 () (not @t22)) % 0.45/0.66 (define @t85 () (not @t8)) % 0.45/0.66 (define @t86 () (or @t85 @t84 @t83 @t82)) % 0.45/0.66 (define @t87 () (forall @t24 (or (not (tptp.part_of @t4 @t56)) (not (tptp.part_of @t12 @t56)) @t75 @t74 @t19 @t18))) % 0.45/0.66 (define @t88 () (and (tptp.incident_c @t59 @t56) @t87)) % 0.45/0.66 (define @t89 () (= @t63 @t88)) % 0.45/0.66 (define @t90 () (@list false)) % 0.45/0.66 (define @t91 () (@quantifiers_skolemize @t76 1)) % 0.45/0.66 (define @t92 () (not (tptp.incident_c @t2 @t91))) % 0.45/0.66 (define @t93 () (forall @t6 (or @t92 @t69))) % 0.45/0.66 (define @t94 () (@quantifiers_skolemize @t93 0)) % 0.45/0.66 (define @t95 () (tptp.incident_c @t94 @t91)) % 0.45/0.66 (define @t96 () (tptp.incident_c @t94 @t56)) % 0.45/0.66 (define @t97 () (not @t95)) % 0.45/0.66 (define @t98 () (or @t97 @t96)) % 0.45/0.66 (define @t99 () (and @t61 @t76)) % 0.45/0.66 (define @t100 () (= @t60 @t99)) % 0.45/0.66 (define @t101 () (not @t99)) % 0.45/0.66 (define @t102 () (@list true false)) % 0.45/0.66 (define @t103 () (not @t76)) % 0.45/0.66 (define @t104 () (tptp.part_of @t91 @t55)) % 0.45/0.66 (define @t105 () (tptp.part_of @t91 @t77)) % 0.45/0.66 (define @t106 () (tptp.part_of @t77 @t91)) % 0.45/0.66 (define @t107 () (tptp.incident_c @t59 @t91)) % 0.45/0.66 (define @t108 () (not @t107)) % 0.45/0.66 (define @t109 () (tptp.incident_c @t59 @t77)) % 0.45/0.66 (define @t110 () (not @t109)) % 0.45/0.66 (define @t111 () (not @t104)) % 0.45/0.66 (define @t112 () (tptp.part_of @t77 @t55)) % 0.45/0.66 (define @t113 () (not @t112)) % 0.45/0.66 (define @t114 () (or @t113 @t111 @t110 @t108 @t106 @t105)) % 0.45/0.66 (define @t115 () (@list @t114)) % 0.45/0.66 (define @t116 () (forall @t6 (or @t92 @t70))) % 0.45/0.66 (define @t117 () (= @t104 @t116)) % 0.45/0.66 (define @t118 () (@list @t94)) % 0.45/0.66 (define @t119 () (tptp.incident_c @t94 @t55)) % 0.45/0.66 (define @t120 () (or @t97 @t119)) % 0.45/0.66 (define @t121 () (not @t119)) % 0.45/0.66 (define @t122 () (or @t121 @t96)) % 0.45/0.66 (define @t123 () (not @t98)) % 0.45/0.66 (define @t124 () (not @t93)) % 0.45/0.66 (define @t125 () (tptp.part_of @t91 @t56)) % 0.45/0.66 (define @t126 () (= @t125 @t93)) % 0.45/0.66 (define @t127 () (not @t125)) % 0.45/0.66 (define @t128 () (tptp.part_of @t77 @t56)) % 0.45/0.66 (define @t129 () (not @t128)) % 0.45/0.66 (define @t130 () (or @t129 @t127 @t110 @t108 @t106 @t105)) % 0.45/0.66 (define @t131 () (= @t128 @t79)) % 0.45/0.66 (define @t132 () (not @t79)) % 0.45/0.66 (define @t133 () (tptp.incident_c @t80 @t56)) % 0.45/0.66 (define @t134 () (tptp.incident_c @t80 @t77)) % 0.45/0.66 (define @t135 () (not @t134)) % 0.45/0.66 (define @t136 () (or @t135 @t133)) % 0.45/0.66 (define @t137 () (not @t136)) % 0.45/0.66 (define @t138 () (@list @t136)) % 0.45/0.66 (define @t139 () (forall @t6 (or @t78 @t70))) % 0.45/0.66 (define @t140 () (= @t112 @t139)) % 0.45/0.66 (define @t141 () (tptp.incident_c @t80 @t55)) % 0.45/0.66 (define @t142 () (or @t135 @t141)) % 0.45/0.66 (define @t143 () (not @t141)) % 0.45/0.66 (define @t144 () (or @t143 @t133)) % 0.45/0.66 (assume @p1 @t11) % 0.45/0.66 (assume @p2 (forall (@list @t1 @t4 @t12) (= @t17 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 0.45/0.66 (assume @p3 @t30) % 0.45/0.66 (assume @p4 (forall @t29 (= @t32 (and @t3 @t31)))) % 0.45/0.66 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t16 (=> (and @t15 @t14) (and @t34 @t33))))))) % 0.45/0.66 (assume @p6 (forall @t37 (= @t36 (not @t35)))) % 0.45/0.66 (assume @p7 (forall @t37 (= (tptp.open @t1) @t35))) % 0.45/0.66 (assume @p8 (forall @t10 (=> (and @t8 (not (= @t4 @t1))) (tptp.open @t4)))) % 0.45/0.66 (assume @p9 (forall (@list @t1 @t4 @t12 @t38) (=> (and @t8 @t22 (tptp.part_of @t38 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t12) (tptp.end_point @t2 @t38)))) (or (tptp.part_of @t12 @t38) (tptp.part_of @t38 @t12) @t19 @t18 (tptp.part_of @t4 @t38) (tptp.part_of @t38 @t4))))) % 0.45/0.66 (assume @p10 (forall @t37 (exists @t6 @t32))) % 0.45/0.66 (assume @p11 (forall @t40 (=> @t32 (exists @t24 (and @t39 @t17))))) % 0.45/0.66 (assume @p12 (forall (@list @t1 @t2 @t13 @t41) (=> (and @t27 @t34 (tptp.end_point @t41 @t1)) (or @t42 (= @t2 @t41) (= @t13 @t41))))) % 0.45/0.66 (assume @p13 (forall @t40 (=> @t27 (exists @t16 (and @t34 (not @t42)))))) % 0.45/0.66 (assume @p14 (forall (@list @t1 @t4 @t12 @t2) (=> (and @t36 @t39 @t17) (forall @t16 (=> @t33 (tptp.meet @t13 @t4 @t12)))))) % 0.45/0.66 (assume @p15 (forall @t24 (=> (exists @t6 @t39) (exists @t37 @t17)))) % 0.45/0.66 (assume @p16 (forall @t10 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 0.45/0.66 (assume @p17 @t50) % 0.45/0.66 (assume @p18 true) % 0.45/0.66 (step @p19 :rule bool-impl-elim :args (@t5 @t3)) % 0.45/0.66 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 0.45/0.66 (step @p21 :rule refl :args (@t8)) % 0.45/0.66 (step @p22 :rule cong :premises (@p21 @p20) :args (@t9)) % 0.45/0.66 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 0.45/0.66 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.45/0.66 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t56 @t55))) % 0.45/0.66 (step @p26 :rule aci_norm :args ((= (or @t57 @t44) @t53))) % 0.45/0.66 (step @p27 :rule refl :args (@t44)) % 0.45/0.66 (step @p28 :rule aci_norm :args ((= (or @t52 (or @t31 @t51)) @t57))) % 0.45/0.66 (step @p29 :rule bool-and-de-morgan :args (@t27 @t45 true)) % 0.45/0.66 (step @p30 :rule refl :args (@t52)) % 0.45/0.66 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t52 (not (and @t27 @t45))))) % 0.45/0.66 (step @p32 :rule bool-and-de-morgan :args (@t46 @t27 (and @t45))) % 0.45/0.66 (step @p33 :rule trans :premises (@p32 @p31)) % 0.45/0.66 (step @p34 :rule trans :premises (@p33 @p28)) % 0.45/0.66 (step @p35 :rule nary_cong :premises (@p34 @p27) :args ((or (not @t47) @t44))) % 0.45/0.66 (step @p36 :rule trans :premises (@p35 @p26)) % 0.45/0.66 (step @p37 :rule bool-impl-elim :args (@t47 @t44)) % 0.45/0.66 (step @p38 :rule trans :premises (@p37 @p36)) % 0.45/0.66 (step @p39 :rule cong :premises (@p38) :args (@t49)) % 0.45/0.66 (step @p40 :rule cong :premises (@p39) :args (@t50)) % 0.45/0.66 (step @p41 :rule eq_resolve :premises (@p17 @p40)) % 0.45/0.66 (step @p42 :rule skolemize :premises (@p41)) % 0.45/0.66 (step @p43 :rule bool-double-not-elim :args (@t58)) % 0.45/0.66 (step @p44 :rule refl :args (@t66)) % 0.45/0.66 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t66 (not @t65)))) % 0.45/0.66 (step @p46 :rule cnf_or_neg :args (@t66 0)) % 0.45/0.66 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.45/0.66 (step @p48 :rule reordering :premises (@p47) :args ((or @t58 @t66))) % 0.45/0.66 (step @p49 :rule chain_m_resolution :premises (@p48 @p42) :args (@t58 @t67 @t68)) % 0.45/0.66 (step @p50 :rule cnf_equiv_pos1 :args (@t72)) % 0.45/0.66 (step @p51 :rule reordering :premises (@p50) :args ((or @t65 @t71 (not @t72)))) % 0.45/0.66 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p25) :args (@t71 @t73 (@list @t58 @t72))) % 0.45/0.66 (step @p53 :rule instantiate :premises (@p52) :args (@t81)) % 0.45/0.66 (step @p54 :rule instantiate :premises (@p24) :args ((@list @t56 @t77))) % 0.45/0.66 (step @p55 :rule aci_norm :args ((= (or @t86 @t20) (or @t85 @t84 @t83 @t82 @t19 @t18)))) % 0.45/0.66 (step @p56 :rule refl :args (@t20)) % 0.45/0.66 (step @p57 :rule aci_norm :args ((= (or @t85 (or @t84 (or @t83 @t82))) @t86))) % 0.45/0.66 (step @p58 :rule bool-and-de-morgan :args (@t5 @t21 true)) % 0.45/0.66 (step @p59 :rule refl :args (@t84)) % 0.45/0.66 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t84 (not (and @t5 @t21))))) % 0.45/0.66 (step @p61 :rule bool-and-de-morgan :args (@t22 @t5 (and @t21))) % 0.45/0.66 (step @p62 :rule trans :premises (@p61 @p60)) % 0.45/0.66 (step @p63 :rule refl :args (@t85)) % 0.45/0.66 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t85 (not (and @t22 @t5 @t21))))) % 0.45/0.66 (step @p65 :rule bool-and-de-morgan :args (@t8 @t22 (and @t5 @t21))) % 0.45/0.66 (step @p66 :rule trans :premises (@p65 @p64)) % 0.45/0.66 (step @p67 :rule trans :premises (@p66 @p57)) % 0.45/0.66 (step @p68 :rule nary_cong :premises (@p67 @p56) :args ((or (not @t23) @t20))) % 0.45/0.66 (step @p69 :rule trans :premises (@p68 @p55)) % 0.45/0.66 (step @p70 :rule bool-impl-elim :args (@t23 @t20)) % 0.45/0.66 (step @p71 :rule trans :premises (@p70 @p69)) % 0.45/0.66 (step @p72 :rule cong :premises (@p71) :args (@t25)) % 0.45/0.66 (step @p73 :rule refl :args (@t3)) % 0.45/0.66 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t26)) % 0.45/0.66 (step @p75 :rule refl :args (@t27)) % 0.45/0.66 (step @p76 :rule cong :premises (@p75 @p74) :args (@t28)) % 0.45/0.66 (step @p77 :rule cong :premises (@p76) :args (@t30)) % 0.45/0.66 (step @p78 :rule eq_resolve :premises (@p3 @p77)) % 0.45/0.66 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t59 @t56))) % 0.45/0.66 (step @p80 :rule bool-double-not-elim :args (@t63)) % 0.45/0.66 (step @p81 :rule nary_cong :premises (@p44 @p80) :args ((or @t66 (not @t64)))) % 0.45/0.66 (step @p82 :rule cnf_or_neg :args (@t66 1)) % 0.45/0.66 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.45/0.66 (step @p84 :rule reordering :premises (@p83) :args ((or @t63 @t66))) % 0.45/0.66 (step @p85 :rule chain_m_resolution :premises (@p84 @p42) :args (@t63 @t67 @t68)) % 0.45/0.66 (step @p86 :rule cnf_equiv_pos1 :args (@t89)) % 0.45/0.66 (step @p87 :rule reordering :premises (@p86) :args ((or @t64 @t88 (not @t89)))) % 0.45/0.66 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p79) :args (@t88 @t73 (@list @t63 @t89))) % 0.45/0.66 (step @p89 :rule cnf_and_pos :args (@t88 1)) % 0.45/0.66 (step @p90 :rule reordering :premises (@p89) :args ((or @t87 (not @t88)))) % 0.45/0.66 (step @p91 :rule chain_m_resolution :premises (@p90 @p88) :args (@t87 @t90 (@list @t88))) % 0.45/0.66 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t77 @t91))) % 0.45/0.66 (step @p93 :rule instantiate :premises (@p24) :args ((@list @t56 @t91))) % 0.45/0.66 (step @p94 :rule bool-double-not-elim :args (@t95)) % 0.45/0.66 (step @p95 :rule refl :args (@t98)) % 0.45/0.66 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t98 (not @t97)))) % 0.45/0.66 (step @p97 :rule cnf_or_neg :args (@t98 0)) % 0.45/0.66 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.45/0.66 (step @p99 :rule reordering :premises (@p98) :args ((or @t95 @t98))) % 0.45/0.66 (step @p100 :rule cnf_or_neg :args (@t98 1)) % 0.45/0.66 (step @p101 :rule instantiate :premises (@p24) :args ((@list @t55 @t91))) % 0.45/0.66 (step @p102 :rule instantiate :premises (@p78) :args ((@list @t59 @t55))) % 0.45/0.66 (step @p103 :rule cnf_or_neg :args (@t66 3)) % 0.45/0.66 (step @p104 :rule chain_m_resolution :premises (@p103 @p42) :args ((not @t60) @t67 @t68)) % 0.45/0.66 (step @p105 :rule cnf_equiv_pos2 :args (@t100)) % 0.45/0.66 (step @p106 :rule reordering :premises (@p105) :args ((or @t60 @t101 (not @t100)))) % 0.45/0.66 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p102) :args (@t101 @t102 (@list @t60 @t100))) % 0.45/0.66 (step @p108 :rule bool-double-not-elim :args (@t61)) % 0.45/0.66 (step @p109 :rule nary_cong :premises (@p44 @p108) :args ((or @t66 (not @t62)))) % 0.45/0.66 (step @p110 :rule cnf_or_neg :args (@t66 2)) % 0.45/0.66 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.45/0.66 (step @p112 :rule reordering :premises (@p111) :args ((or @t61 @t66))) % 0.45/0.66 (step @p113 :rule chain_m_resolution :premises (@p112 @p42) :args (@t61 @t67 @t68)) % 0.45/0.66 (step @p114 :rule cnf_and_neg :args (@t99)) % 0.45/0.66 (step @p115 :rule reordering :premises (@p114) :args ((or @t62 @t99 @t103))) % 0.45/0.66 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p107) :args (@t103 (@list false true) (@list @t61 @t99))) % 0.45/0.66 (step @p117 :rule skolemize :premises (@p116)) % 0.45/0.66 (step @p118 :rule bool-double-not-elim :args (@t104)) % 0.45/0.66 (step @p119 :rule refl :args (@t114)) % 0.45/0.66 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t114 (not @t111)))) % 0.45/0.66 (step @p121 :rule cnf_or_neg :args (@t114 1)) % 0.45/0.66 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 0.45/0.66 (step @p123 :rule reordering :premises (@p122) :args ((or @t104 @t114))) % 0.45/0.66 (step @p124 :rule chain_m_resolution :premises (@p123 @p117) :args (@t104 @t67 @t115)) % 0.45/0.66 (step @p125 :rule cnf_equiv_pos1 :args (@t117)) % 0.45/0.66 (step @p126 :rule reordering :premises (@p125) :args ((or @t111 @t116 (not @t117)))) % 0.45/0.66 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p101) :args (@t116 @t73 (@list @t104 @t117))) % 0.45/0.66 (step @p128 :rule instantiate :premises (@p127) :args (@t118)) % 0.45/0.66 (step @p129 :rule cnf_or_pos :args (@t120)) % 0.45/0.66 (step @p130 :rule reordering :premises (@p129) :args ((or @t97 @t119 (not @t120)))) % 0.45/0.66 (step @p131 :rule instantiate :premises (@p52) :args (@t118)) % 0.45/0.66 (step @p132 :rule cnf_or_pos :args (@t122)) % 0.45/0.66 (step @p133 :rule reordering :premises (@p132) :args ((or @t96 @t121 (not @t122)))) % 0.45/0.66 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p130 @p128 @p100 @p99) :args (@t98 (@list false false false true false) (@list @t122 @t119 @t120 @t96 @t95))) % 0.45/0.66 (step @p135 :rule refl :args (@t123)) % 0.45/0.66 (step @p136 :rule bool-double-not-elim :args (@t93)) % 0.45/0.66 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or (not @t124) @t123))) % 0.45/0.66 (assume-push @p206 @t124) % 0.45/0.66 (step @p139 :rule skolemize :premises (@p206)) % 0.45/0.66 (step-pop @p207 :rule scope :premises (@p139)) % 0.45/0.66 (step @p140 :rule process_scope :premises (@p207) :args (@t123)) % 0.45/0.66 (step @p142 :rule implies_elim :premises (@p140)) % 0.45/0.66 (step @p143 :rule eq_resolve :premises (@p142 @p137)) % 0.45/0.66 (step @p144 :rule chain_m_resolution :premises (@p143 @p134) :args (@t93 @t90 (@list @t98))) % 0.45/0.66 (step @p145 :rule cnf_equiv_pos2 :args (@t126)) % 0.45/0.66 (step @p146 :rule reordering :premises (@p145) :args ((or @t125 @t124 (not @t126)))) % 0.45/0.66 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p93) :args (@t125 @t73 (@list @t93 @t126))) % 0.45/0.66 (step @p148 :rule cnf_or_neg :args (@t114 5)) % 0.45/0.66 (step @p149 :rule chain_m_resolution :premises (@p148 @p117) :args ((not @t105) @t67 @t115)) % 0.45/0.66 (step @p150 :rule cnf_or_neg :args (@t114 4)) % 0.45/0.66 (step @p151 :rule chain_m_resolution :premises (@p150 @p117) :args ((not @t106) @t67 @t115)) % 0.45/0.66 (step @p152 :rule bool-double-not-elim :args (@t107)) % 0.45/0.66 (step @p153 :rule nary_cong :premises (@p119 @p152) :args ((or @t114 (not @t108)))) % 0.45/0.66 (step @p154 :rule cnf_or_neg :args (@t114 3)) % 0.45/0.66 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.45/0.66 (step @p156 :rule reordering :premises (@p155) :args ((or @t107 @t114))) % 0.45/0.66 (step @p157 :rule chain_m_resolution :premises (@p156 @p117) :args (@t107 @t67 @t115)) % 0.45/0.66 (step @p158 :rule bool-double-not-elim :args (@t109)) % 0.45/0.66 (step @p159 :rule nary_cong :premises (@p119 @p158) :args ((or @t114 (not @t110)))) % 0.45/0.66 (step @p160 :rule cnf_or_neg :args (@t114 2)) % 0.45/0.66 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.45/0.66 (step @p162 :rule reordering :premises (@p161) :args ((or @t109 @t114))) % 0.45/0.66 (step @p163 :rule chain_m_resolution :premises (@p162 @p117) :args (@t109 @t67 @t115)) % 0.45/0.66 (step @p164 :rule cnf_or_pos :args (@t130)) % 0.45/0.66 (step @p165 :rule reordering :premises (@p164) :args ((or @t110 @t108 @t106 @t105 @t129 @t127 (not @t130)))) % 0.45/0.66 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p157 @p151 @p149 @p147 @p92) :args (@t129 (@list false false true true false false) (@list @t109 @t107 @t106 @t105 @t125 @t130))) % 0.45/0.66 (step @p167 :rule cnf_equiv_pos2 :args (@t131)) % 0.45/0.66 (step @p168 :rule reordering :premises (@p167) :args ((or @t128 @t132 (not @t131)))) % 0.45/0.66 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p54) :args (@t132 @t102 (@list @t128 @t131))) % 0.45/0.66 (step @p170 :rule refl :args (@t137)) % 0.45/0.66 (step @p171 :rule bool-double-not-elim :args (@t79)) % 0.45/0.66 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or (not @t132) @t137))) % 0.45/0.66 (assume-push @p208 @t132) % 0.45/0.66 (step @p174 :rule skolemize :premises (@p208)) % 0.45/0.66 (step-pop @p209 :rule scope :premises (@p174)) % 0.45/0.66 (step @p175 :rule process_scope :premises (@p209) :args (@t137)) % 0.45/0.66 (step @p177 :rule implies_elim :premises (@p175)) % 0.45/0.66 (step @p178 :rule eq_resolve :premises (@p177 @p172)) % 0.45/0.66 (step @p179 :rule chain_m_resolution :premises (@p178 @p169) :args (@t137 @t67 (@list @t79))) % 0.45/0.66 (step @p180 :rule cnf_or_neg :args (@t136 1)) % 0.45/0.66 (step @p181 :rule chain_m_resolution :premises (@p180 @p179) :args ((not @t133) @t67 @t138)) % 0.45/0.66 (step @p182 :rule instantiate :premises (@p24) :args ((@list @t55 @t77))) % 0.45/0.66 (step @p183 :rule bool-double-not-elim :args (@t112)) % 0.45/0.66 (step @p184 :rule nary_cong :premises (@p119 @p183) :args ((or @t114 (not @t113)))) % 0.45/0.66 (step @p185 :rule cnf_or_neg :args (@t114 0)) % 0.45/0.66 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.45/0.66 (step @p187 :rule reordering :premises (@p186) :args ((or @t112 @t114))) % 0.45/0.66 (step @p188 :rule chain_m_resolution :premises (@p187 @p117) :args (@t112 @t67 @t115)) % 0.45/0.66 (step @p189 :rule cnf_equiv_pos1 :args (@t140)) % 0.45/0.66 (step @p190 :rule reordering :premises (@p189) :args ((or @t113 @t139 (not @t140)))) % 0.45/0.66 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p182) :args (@t139 @t73 (@list @t112 @t140))) % 0.45/0.66 (step @p192 :rule instantiate :premises (@p191) :args (@t81)) % 0.45/0.66 (step @p193 :rule bool-double-not-elim :args (@t134)) % 0.45/0.66 (step @p194 :rule refl :args (@t136)) % 0.45/0.66 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t136 (not @t135)))) % 0.45/0.66 (step @p196 :rule cnf_or_neg :args (@t136 0)) % 0.45/0.66 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 0.45/0.66 (step @p198 :rule reordering :premises (@p197) :args ((or @t134 @t136))) % 0.45/0.66 (step @p199 :rule chain_m_resolution :premises (@p198 @p179) :args (@t134 @t67 @t138)) % 0.45/0.66 (step @p200 :rule cnf_or_pos :args (@t142)) % 0.45/0.66 (step @p201 :rule reordering :premises (@p200) :args ((or @t135 @t141 (not @t142)))) % 0.45/0.66 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p192) :args (@t141 @t73 (@list @t134 @t142))) % 0.45/0.66 (step @p203 :rule cnf_or_pos :args (@t144)) % 0.45/0.66 (step @p204 :rule reordering :premises (@p203) :args ((or @t133 @t143 (not @t144)))) % 0.45/0.66 (step @p205 false :rule chain_m_resolution :premises (@p204 @p202 @p181 @p53) :args (false (@list false true false) (@list @t141 @t133 @t144))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.66 % cvc5 exiting %------------------------------------------------------------------------------