%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG211+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:05:30 AM UTC 2026 % Result : Theorem 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG211+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 : Wed Jun 3 01:41:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.63 % SZS status Theorem % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.a_vector_space (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.a_vector_subspace_of (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.basis_of (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.lin_ind_subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.a_subset_of (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.vec_to_class (-> $$unsorted $$unsorted)) % 0.46/0.63 (define @t1 () (@var "V" $$unsorted)) % 0.46/0.63 (define @t2 () (@var "B" $$unsorted)) % 0.46/0.63 (define @t3 () (and (tptp.lin_ind_subset @t2 @t1) (tptp.a_subset_of @t2 (tptp.vec_to_class @t1)))) % 0.46/0.63 (define @t4 () (tptp.basis_of @t2 @t1)) % 0.46/0.63 (define @t5 () (forall (@list @t2 @t1) (=> @t4 @t3))) % 0.46/0.63 (define @t6 () (@var "U" $$unsorted)) % 0.46/0.63 (define @t7 () (@var "S" $$unsorted)) % 0.46/0.63 (define @t8 () (tptp.basis_of (tptp.union @t7 @t6) @t1)) % 0.46/0.63 (define @t9 () (@var "T" $$unsorted)) % 0.46/0.63 (define @t10 () (tptp.a_subset_of @t6 @t9)) % 0.46/0.63 (define @t11 () (and @t10 @t8)) % 0.46/0.63 (define @t12 () (@list @t6)) % 0.46/0.63 (define @t13 () (exists @t12 @t11)) % 0.46/0.63 (define @t14 () (tptp.basis_of @t9 @t1)) % 0.46/0.63 (define @t15 () (tptp.lin_ind_subset @t7 @t1)) % 0.46/0.63 (define @t16 () (and @t15 @t14)) % 0.46/0.63 (define @t17 () (=> @t16 @t13)) % 0.46/0.63 (define @t18 () (@list @t7 @t9 @t1)) % 0.46/0.63 (define @t19 () (forall @t18 @t17)) % 0.46/0.63 (define @t20 () (@var "A" $$unsorted)) % 0.46/0.63 (define @t21 () (tptp.basis_of @t2 @t20)) % 0.46/0.63 (define @t22 () (@list @t2)) % 0.46/0.63 (define @t23 () (exists @t22 @t21)) % 0.46/0.63 (define @t24 () (tptp.a_vector_space @t20)) % 0.46/0.63 (define @t25 () (=> @t24 @t23)) % 0.46/0.63 (define @t26 () (@list @t20)) % 0.46/0.63 (define @t27 () (forall @t26 @t25)) % 0.46/0.63 (define @t28 () (tptp.a_vector_subspace_of @t20 @t2)) % 0.46/0.63 (define @t29 () (forall (@list @t20 @t2) (=> @t28 @t24))) % 0.46/0.63 (define @t30 () (@var "E" $$unsorted)) % 0.46/0.63 (define @t31 () (@var "W" $$unsorted)) % 0.46/0.63 (define @t32 () (= (tptp.lin_ind_subset @t30 @t31) (tptp.lin_ind_subset @t30 @t1))) % 0.46/0.63 (define @t33 () (tptp.a_subset_of @t30 (tptp.vec_to_class @t31))) % 0.46/0.63 (define @t34 () (tptp.a_vector_subspace_of @t31 @t1)) % 0.46/0.63 (define @t35 () (and @t34 @t33)) % 0.46/0.63 (define @t36 () (forall (@list @t31 @t1 @t30) (=> @t35 @t32))) % 0.46/0.63 (define @t37 () (tptp.basis_of @t30 @t31)) % 0.46/0.63 (define @t38 () (@var "F" $$unsorted)) % 0.46/0.63 (define @t39 () (tptp.union @t30 @t38)) % 0.46/0.63 (define @t40 () (tptp.basis_of @t39 @t1)) % 0.46/0.63 (define @t41 () (and @t40 @t37)) % 0.46/0.63 (define @t42 () (@list @t30 @t38)) % 0.46/0.63 (define @t43 () (exists @t42 @t41)) % 0.46/0.63 (define @t44 () (tptp.a_vector_space @t1)) % 0.46/0.63 (define @t45 () (and @t34 @t44)) % 0.46/0.63 (define @t46 () (=> @t45 @t43)) % 0.46/0.63 (define @t47 () (@list @t31 @t1)) % 0.46/0.63 (define @t48 () (forall @t47 @t46)) % 0.46/0.63 (define @t49 () (not @t48)) % 0.46/0.63 (define @t50 () (not (forall @t42 (or (not @t40) (not @t37))))) % 0.46/0.63 (define @t51 () (not @t44)) % 0.46/0.63 (define @t52 () (not @t34)) % 0.46/0.63 (define @t53 () (or @t52 @t51 @t50)) % 0.46/0.63 (define @t54 () (forall @t42 (not @t41))) % 0.46/0.63 (define @t55 () (not @t54)) % 0.46/0.63 (define @t56 () (forall @t47 @t53)) % 0.46/0.63 (define @t57 () (@quantifiers_skolemize @t56 0)) % 0.46/0.63 (define @t58 () (@quantifiers_skolemize @t56 1)) % 0.46/0.63 (define @t59 () (forall @t42 (or (not (tptp.basis_of @t39 @t58)) (not (tptp.basis_of @t30 @t57))))) % 0.46/0.63 (define @t60 () (not @t59)) % 0.46/0.63 (define @t61 () (tptp.a_vector_space @t58)) % 0.46/0.63 (define @t62 () (not @t61)) % 0.46/0.63 (define @t63 () (tptp.a_vector_subspace_of @t57 @t58)) % 0.46/0.63 (define @t64 () (not @t63)) % 0.46/0.63 (define @t65 () (or @t64 @t62 @t60)) % 0.46/0.63 (define @t66 () (@list true)) % 0.46/0.63 (define @t67 () (@list @t65)) % 0.46/0.63 (define @t68 () (not (forall @t12 (or (not @t10) (not @t8))))) % 0.46/0.63 (define @t69 () (not @t14)) % 0.46/0.63 (define @t70 () (not @t15)) % 0.46/0.63 (define @t71 () (forall @t12 (not @t11))) % 0.46/0.63 (define @t72 () (not @t71)) % 0.46/0.63 (define @t73 () (forall @t22 (not (tptp.basis_of @t2 @t58)))) % 0.46/0.63 (define @t74 () (@quantifiers_skolemize @t73 0)) % 0.46/0.63 (define @t75 () (not (tptp.basis_of (tptp.union @t74 @t6) @t58))) % 0.46/0.63 (define @t76 () (not (tptp.a_subset_of @t6 @t74))) % 0.46/0.63 (define @t77 () (forall @t12 (or @t76 @t75))) % 0.46/0.63 (define @t78 () (@quantifiers_skolemize @t77 0)) % 0.46/0.63 (define @t79 () (tptp.union @t74 @t78)) % 0.46/0.63 (define @t80 () (forall @t12 (or @t76 (not (tptp.basis_of (tptp.union @t79 @t6) @t58))))) % 0.46/0.63 (define @t81 () (@quantifiers_skolemize @t80 0)) % 0.46/0.63 (define @t82 () (tptp.union @t79 @t81)) % 0.46/0.63 (define @t83 () (forall @t12 (or (not (tptp.a_subset_of @t6 @t82)) @t75))) % 0.46/0.63 (define @t84 () (@quantifiers_skolemize @t83 0)) % 0.46/0.63 (define @t85 () (tptp.union @t74 @t84)) % 0.46/0.63 (define @t86 () (forall @t22 (not (tptp.basis_of @t2 @t57)))) % 0.46/0.63 (define @t87 () (@quantifiers_skolemize @t86 0)) % 0.46/0.63 (define @t88 () (not (forall @t22 (not @t21)))) % 0.46/0.63 (define @t89 () (not @t73)) % 0.46/0.63 (define @t90 () (or @t62 @t89)) % 0.46/0.63 (define @t91 () (@list false false)) % 0.46/0.63 (define @t92 () (tptp.basis_of @t74 @t58)) % 0.46/0.63 (define @t93 () (not @t92)) % 0.46/0.63 (define @t94 () (not @t93)) % 0.46/0.63 (define @t95 () (tptp.vec_to_class @t58)) % 0.46/0.63 (define @t96 () (tptp.lin_ind_subset @t74 @t58)) % 0.46/0.63 (define @t97 () (and @t96 (tptp.a_subset_of @t74 @t95))) % 0.46/0.63 (define @t98 () (or @t93 @t97)) % 0.46/0.63 (define @t99 () (@list false)) % 0.46/0.63 (define @t100 () (not @t77)) % 0.46/0.63 (define @t101 () (not @t96)) % 0.46/0.63 (define @t102 () (or @t101 @t93 @t100)) % 0.46/0.63 (define @t103 () (@list false false false)) % 0.46/0.63 (define @t104 () (tptp.basis_of @t79 @t58)) % 0.46/0.63 (define @t105 () (not @t104)) % 0.46/0.63 (define @t106 () (or (not (tptp.a_subset_of @t78 @t74)) @t105)) % 0.46/0.63 (define @t107 () (tptp.lin_ind_subset @t79 @t58)) % 0.46/0.63 (define @t108 () (and @t107 (tptp.a_subset_of @t79 @t95))) % 0.46/0.63 (define @t109 () (or @t105 @t108)) % 0.46/0.63 (define @t110 () (not @t80)) % 0.46/0.63 (define @t111 () (not @t107)) % 0.46/0.63 (define @t112 () (or @t111 @t93 @t110)) % 0.46/0.63 (define @t113 () (tptp.basis_of @t82 @t58)) % 0.46/0.63 (define @t114 () (not @t113)) % 0.46/0.63 (define @t115 () (or (not (tptp.a_subset_of @t81 @t74)) @t114)) % 0.46/0.63 (define @t116 () (not @t83)) % 0.46/0.63 (define @t117 () (or @t101 @t114 @t116)) % 0.46/0.63 (define @t118 () (tptp.basis_of @t85 @t58)) % 0.46/0.63 (define @t119 () (not @t118)) % 0.46/0.63 (define @t120 () (or (not (tptp.a_subset_of @t84 @t82)) @t119)) % 0.46/0.63 (define @t121 () (not @t33)) % 0.46/0.63 (define @t122 () (tptp.a_vector_space @t57)) % 0.46/0.63 (define @t123 () (or @t64 @t122)) % 0.46/0.63 (define @t124 () (not @t86)) % 0.46/0.63 (define @t125 () (not @t122)) % 0.46/0.63 (define @t126 () (or @t125 @t124)) % 0.46/0.63 (define @t127 () (tptp.basis_of @t87 @t57)) % 0.46/0.63 (define @t128 () (not @t127)) % 0.46/0.63 (define @t129 () (not @t128)) % 0.46/0.63 (define @t130 () (tptp.a_subset_of @t87 (tptp.vec_to_class @t57))) % 0.46/0.63 (define @t131 () (tptp.lin_ind_subset @t87 @t57)) % 0.46/0.63 (define @t132 () (and @t131 @t130)) % 0.46/0.63 (define @t133 () (or @t128 @t132)) % 0.46/0.63 (define @t134 () (not @t132)) % 0.46/0.63 (define @t135 () (@list @t132)) % 0.46/0.63 (define @t136 () (tptp.lin_ind_subset @t87 @t58)) % 0.46/0.63 (define @t137 () (= @t131 @t136)) % 0.46/0.63 (define @t138 () (not @t130)) % 0.46/0.63 (define @t139 () (or @t64 @t138 @t137)) % 0.46/0.63 (define @t140 () (forall @t12 (or (not (tptp.a_subset_of @t6 @t85)) (not (tptp.basis_of (tptp.union @t87 @t6) @t58))))) % 0.46/0.63 (define @t141 () (not @t140)) % 0.46/0.63 (define @t142 () (not @t136)) % 0.46/0.63 (define @t143 () (or @t142 @t119 @t141)) % 0.46/0.63 (define @t144 () (@quantifiers_skolemize @t140 0)) % 0.46/0.63 (define @t145 () (tptp.basis_of (tptp.union @t87 @t144) @t58)) % 0.46/0.63 (define @t146 () (not @t145)) % 0.46/0.63 (define @t147 () (or (not (tptp.a_subset_of @t144 @t85)) @t146)) % 0.46/0.63 (define @t148 () (or @t146 @t128)) % 0.46/0.63 (define @t149 () (not @t148)) % 0.46/0.63 (assume @p1 @t5) % 0.46/0.63 (assume @p2 @t19) % 0.46/0.63 (assume @p3 @t27) % 0.46/0.63 (assume @p4 @t29) % 0.46/0.63 (assume @p5 @t36) % 0.46/0.63 (assume @p6 @t49) % 0.46/0.63 (assume @p7 true) % 0.46/0.63 (step @p8 :rule aci_norm :args ((= (or (or @t52 @t51) @t50) @t53))) % 0.46/0.63 (step @p9 :rule refl :args (@t50)) % 0.46/0.63 (step @p10 :rule bool-and-de-morgan :args (@t34 @t44 true)) % 0.46/0.63 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or (not @t45) @t50))) % 0.46/0.63 (step @p12 :rule trans :premises (@p11 @p8)) % 0.46/0.63 (step @p13 :rule bool-impl-elim :args (@t45 @t50)) % 0.46/0.63 (step @p14 :rule trans :premises (@p13 @p12)) % 0.46/0.63 (step @p15 :rule cong :premises (@p14) :args ((forall @t47 (=> @t45 @t50)))) % 0.46/0.63 (step @p16 :rule bool-and-de-morgan :args (@t40 @t37 true)) % 0.46/0.63 (step @p17 :rule cong :premises (@p16) :args (@t54)) % 0.46/0.63 (step @p18 :rule cong :premises (@p17) :args (@t55)) % 0.46/0.63 (step @p19 :rule exists-elim :args ((= @t43 @t55))) % 0.46/0.63 (step @p20 :rule trans :premises (@p19 @p18)) % 0.46/0.63 (step @p21 :rule refl :args (@t45)) % 0.46/0.63 (step @p22 :rule cong :premises (@p21 @p20) :args (@t46)) % 0.46/0.63 (step @p23 :rule cong :premises (@p22) :args (@t48)) % 0.46/0.63 (step @p24 :rule trans :premises (@p23 @p15)) % 0.46/0.63 (step @p25 :rule cong :premises (@p24) :args (@t49)) % 0.46/0.63 (step @p26 :rule eq_resolve :premises (@p6 @p25)) % 0.46/0.63 (step @p27 :rule skolemize :premises (@p26)) % 0.46/0.63 (step @p28 :rule bool-double-not-elim :args (@t59)) % 0.46/0.63 (step @p29 :rule refl :args (@t65)) % 0.46/0.63 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t65 (not @t60)))) % 0.46/0.63 (step @p31 :rule cnf_or_neg :args (@t65 2)) % 0.46/0.63 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.46/0.63 (step @p33 :rule reordering :premises (@p32) :args ((or @t59 @t65))) % 0.46/0.63 (step @p34 :rule chain_m_resolution :premises (@p33 @p27) :args (@t59 @t66 @t67)) % 0.46/0.63 (step @p35 :rule aci_norm :args ((= (or (or @t70 @t69) @t68) (or @t70 @t69 @t68)))) % 0.46/0.63 (step @p36 :rule refl :args (@t68)) % 0.46/0.63 (step @p37 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.46/0.63 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t16) @t68))) % 0.46/0.63 (step @p39 :rule trans :premises (@p38 @p35)) % 0.46/0.63 (step @p40 :rule bool-impl-elim :args (@t16 @t68)) % 0.46/0.63 (step @p41 :rule trans :premises (@p40 @p39)) % 0.46/0.63 (step @p42 :rule cong :premises (@p41) :args ((forall @t18 (=> @t16 @t68)))) % 0.46/0.63 (step @p43 :rule bool-and-de-morgan :args (@t10 @t8 true)) % 0.46/0.63 (step @p44 :rule cong :premises (@p43) :args (@t71)) % 0.46/0.63 (step @p45 :rule cong :premises (@p44) :args (@t72)) % 0.46/0.63 (step @p46 :rule exists-elim :args ((= @t13 @t72))) % 0.46/0.63 (step @p47 :rule trans :premises (@p46 @p45)) % 0.46/0.63 (step @p48 :rule refl :args (@t16)) % 0.46/0.63 (step @p49 :rule cong :premises (@p48 @p47) :args (@t17)) % 0.46/0.63 (step @p50 :rule cong :premises (@p49) :args (@t19)) % 0.46/0.63 (step @p51 :rule trans :premises (@p50 @p42)) % 0.46/0.63 (step @p52 :rule eq_resolve :premises (@p2 @p51)) % 0.46/0.63 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t87 @t85 @t58))) % 0.46/0.63 (step @p54 :rule instantiate :premises (@p52) :args ((@list @t74 @t82 @t58))) % 0.46/0.63 (step @p55 :rule instantiate :premises (@p52) :args ((@list @t79 @t74 @t58))) % 0.46/0.63 (step @p56 :rule bool-impl-elim :args (@t4 @t3)) % 0.46/0.63 (step @p57 :rule cong :premises (@p56) :args (@t5)) % 0.46/0.63 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 0.46/0.63 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t79 @t58))) % 0.46/0.63 (step @p60 :rule instantiate :premises (@p52) :args ((@list @t74 @t74 @t58))) % 0.46/0.63 (step @p61 :rule instantiate :premises (@p58) :args ((@list @t74 @t58))) % 0.46/0.63 (step @p62 :rule bool-impl-elim :args (@t24 @t88)) % 0.46/0.63 (step @p63 :rule cong :premises (@p62) :args ((forall @t26 (=> @t24 @t88)))) % 0.46/0.63 (step @p64 :rule exists-elim :args ((= @t23 @t88))) % 0.46/0.63 (step @p65 :rule refl :args (@t24)) % 0.46/0.63 (step @p66 :rule cong :premises (@p65 @p64) :args (@t25)) % 0.46/0.63 (step @p67 :rule cong :premises (@p66) :args (@t27)) % 0.46/0.63 (step @p68 :rule trans :premises (@p67 @p63)) % 0.46/0.63 (step @p69 :rule eq_resolve :premises (@p3 @p68)) % 0.46/0.63 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t58))) % 0.46/0.63 (step @p71 :rule bool-double-not-elim :args (@t61)) % 0.46/0.63 (step @p72 :rule nary_cong :premises (@p29 @p71) :args ((or @t65 (not @t62)))) % 0.46/0.63 (step @p73 :rule cnf_or_neg :args (@t65 1)) % 0.46/0.63 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.46/0.63 (step @p75 :rule reordering :premises (@p74) :args ((or @t61 @t65))) % 0.46/0.63 (step @p76 :rule chain_m_resolution :premises (@p75 @p27) :args (@t61 @t66 @t67)) % 0.46/0.63 (step @p77 :rule cnf_or_pos :args (@t90)) % 0.46/0.63 (step @p78 :rule reordering :premises (@p77) :args ((or @t62 @t89 (not @t90)))) % 0.46/0.63 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p70) :args (@t89 @t91 (@list @t61 @t90))) % 0.46/0.63 (step @p80 :rule refl :args (@t92)) % 0.46/0.63 (step @p81 :rule bool-double-not-elim :args (@t73)) % 0.46/0.63 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t89) @t92))) % 0.46/0.63 (step @p83 :rule bool-double-not-elim :args (@t92)) % 0.46/0.63 (step @p84 :rule refl :args (@t89)) % 0.46/0.63 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t89 @t94))) % 0.46/0.63 (assume-push @p216 @t89) % 0.46/0.63 (step @p87 :rule skolemize :premises (@p79)) % 0.46/0.63 (step-pop @p217 :rule scope :premises (@p87)) % 0.46/0.63 (step @p88 :rule process_scope :premises (@p217) :args (@t94)) % 0.46/0.63 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.46/0.63 (step @p91 :rule implies_elim :premises (@p90)) % 0.46/0.63 (step @p92 :rule eq_resolve :premises (@p91 @p82)) % 0.46/0.63 (step @p93 :rule chain_m_resolution :premises (@p92 @p79) :args (@t92 @t66 (@list @t73))) % 0.46/0.63 (step @p94 :rule cnf_or_pos :args (@t98)) % 0.46/0.63 (step @p95 :rule reordering :premises (@p94) :args ((or @t93 @t97 (not @t98)))) % 0.46/0.63 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p61) :args (@t97 @t91 (@list @t92 @t98))) % 0.46/0.63 (step @p97 :rule cnf_and_pos :args (@t97 0)) % 0.46/0.63 (step @p98 :rule reordering :premises (@p97) :args ((or @t96 (not @t97)))) % 0.46/0.63 (step @p99 :rule chain_m_resolution :premises (@p98 @p96) :args (@t96 @t99 (@list @t97))) % 0.46/0.63 (step @p100 :rule cnf_or_pos :args (@t102)) % 0.46/0.63 (step @p101 :rule reordering :premises (@p100) :args ((or @t93 @t101 @t100 (not @t102)))) % 0.46/0.63 (step @p102 :rule chain_m_resolution :premises (@p101 @p93 @p99 @p60) :args (@t100 @t103 (@list @t92 @t96 @t102))) % 0.46/0.63 (step @p103 :rule skolemize :premises (@p102)) % 0.46/0.63 (step @p104 :rule bool-double-not-elim :args (@t104)) % 0.46/0.63 (step @p105 :rule refl :args (@t106)) % 0.46/0.63 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t106 (not @t105)))) % 0.46/0.63 (step @p107 :rule cnf_or_neg :args (@t106 1)) % 0.46/0.63 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.46/0.63 (step @p109 :rule reordering :premises (@p108) :args ((or @t104 @t106))) % 0.46/0.63 (step @p110 :rule chain_m_resolution :premises (@p109 @p103) :args (@t104 @t66 (@list @t106))) % 0.46/0.63 (step @p111 :rule cnf_or_pos :args (@t109)) % 0.46/0.63 (step @p112 :rule reordering :premises (@p111) :args ((or @t105 @t108 (not @t109)))) % 0.46/0.63 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p59) :args (@t108 @t91 (@list @t104 @t109))) % 0.46/0.63 (step @p114 :rule cnf_and_pos :args (@t108 0)) % 0.46/0.63 (step @p115 :rule reordering :premises (@p114) :args ((or @t107 (not @t108)))) % 0.46/0.63 (step @p116 :rule chain_m_resolution :premises (@p115 @p113) :args (@t107 @t99 (@list @t108))) % 0.46/0.63 (step @p117 :rule cnf_or_pos :args (@t112)) % 0.46/0.63 (step @p118 :rule reordering :premises (@p117) :args ((or @t93 @t111 @t110 (not @t112)))) % 0.46/0.63 (step @p119 :rule chain_m_resolution :premises (@p118 @p93 @p116 @p55) :args (@t110 @t103 (@list @t92 @t107 @t112))) % 0.46/0.63 (step @p120 :rule skolemize :premises (@p119)) % 0.46/0.63 (step @p121 :rule bool-double-not-elim :args (@t113)) % 0.46/0.63 (step @p122 :rule refl :args (@t115)) % 0.46/0.63 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t115 (not @t114)))) % 0.46/0.63 (step @p124 :rule cnf_or_neg :args (@t115 1)) % 0.46/0.63 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 0.46/0.63 (step @p126 :rule reordering :premises (@p125) :args ((or @t113 @t115))) % 0.46/0.63 (step @p127 :rule chain_m_resolution :premises (@p126 @p120) :args (@t113 @t66 (@list @t115))) % 0.46/0.63 (step @p128 :rule cnf_or_pos :args (@t117)) % 0.46/0.63 (step @p129 :rule reordering :premises (@p128) :args ((or @t101 @t114 @t116 (not @t117)))) % 0.46/0.63 (step @p130 :rule chain_m_resolution :premises (@p129 @p99 @p127 @p54) :args (@t116 @t103 (@list @t96 @t113 @t117))) % 0.46/0.63 (step @p131 :rule skolemize :premises (@p130)) % 0.46/0.63 (step @p132 :rule bool-double-not-elim :args (@t118)) % 0.46/0.63 (step @p133 :rule refl :args (@t120)) % 0.46/0.63 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t120 (not @t119)))) % 0.46/0.63 (step @p135 :rule cnf_or_neg :args (@t120 1)) % 0.46/0.63 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.46/0.63 (step @p137 :rule reordering :premises (@p136) :args ((or @t118 @t120))) % 0.46/0.63 (step @p138 :rule chain_m_resolution :premises (@p137 @p131) :args (@t118 @t66 (@list @t120))) % 0.46/0.63 (step @p139 :rule aci_norm :args ((= (or (or @t52 @t121) @t32) (or @t52 @t121 @t32)))) % 0.46/0.63 (step @p140 :rule refl :args (@t32)) % 0.46/0.63 (step @p141 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 0.46/0.63 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or (not @t35) @t32))) % 0.46/0.63 (step @p143 :rule trans :premises (@p142 @p139)) % 0.46/0.63 (step @p144 :rule bool-impl-elim :args (@t35 @t32)) % 0.46/0.63 (step @p145 :rule trans :premises (@p144 @p143)) % 0.46/0.63 (step @p146 :rule cong :premises (@p145) :args (@t36)) % 0.46/0.63 (step @p147 :rule eq_resolve :premises (@p5 @p146)) % 0.46/0.63 (step @p148 :rule instantiate :premises (@p147) :args ((@list @t57 @t58 @t87))) % 0.46/0.63 (step @p149 :rule instantiate :premises (@p58) :args ((@list @t87 @t57))) % 0.46/0.63 (step @p150 :rule instantiate :premises (@p69) :args ((@list @t57))) % 0.46/0.63 (step @p151 :rule bool-impl-elim :args (@t28 @t24)) % 0.46/0.63 (step @p152 :rule cong :premises (@p151) :args (@t29)) % 0.46/0.63 (step @p153 :rule eq_resolve :premises (@p4 @p152)) % 0.46/0.63 (step @p154 :rule instantiate :premises (@p153) :args ((@list @t57 @t58))) % 0.46/0.63 (step @p155 :rule bool-double-not-elim :args (@t63)) % 0.46/0.63 (step @p156 :rule nary_cong :premises (@p29 @p155) :args ((or @t65 (not @t64)))) % 0.46/0.63 (step @p157 :rule cnf_or_neg :args (@t65 0)) % 0.46/0.63 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.46/0.63 (step @p159 :rule reordering :premises (@p158) :args ((or @t63 @t65))) % 0.46/0.64 (step @p160 :rule chain_m_resolution :premises (@p159 @p27) :args (@t63 @t66 @t67)) % 0.46/0.64 (step @p161 :rule cnf_or_pos :args (@t123)) % 0.46/0.64 (step @p162 :rule reordering :premises (@p161) :args ((or @t64 @t122 (not @t123)))) % 0.46/0.64 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p154) :args (@t122 @t91 (@list @t63 @t123))) % 0.46/0.64 (step @p164 :rule cnf_or_pos :args (@t126)) % 0.46/0.64 (step @p165 :rule reordering :premises (@p164) :args ((or @t125 @t124 (not @t126)))) % 0.46/0.64 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p150) :args (@t124 @t91 (@list @t122 @t126))) % 0.46/0.64 (step @p167 :rule refl :args (@t127)) % 0.46/0.64 (step @p168 :rule bool-double-not-elim :args (@t86)) % 0.46/0.64 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or (not @t124) @t127))) % 0.46/0.64 (step @p170 :rule bool-double-not-elim :args (@t127)) % 0.46/0.64 (step @p171 :rule refl :args (@t124)) % 0.46/0.64 (step @p172 :rule cong :premises (@p171 @p170) :args ((=> @t124 @t129))) % 0.46/0.64 (assume-push @p218 @t124) % 0.46/0.64 (step @p174 :rule skolemize :premises (@p166)) % 0.46/0.64 (step-pop @p219 :rule scope :premises (@p174)) % 0.46/0.64 (step @p175 :rule process_scope :premises (@p219) :args (@t129)) % 0.46/0.64 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 0.46/0.64 (step @p178 :rule implies_elim :premises (@p177)) % 0.46/0.64 (step @p179 :rule eq_resolve :premises (@p178 @p169)) % 0.46/0.64 (step @p180 :rule chain_m_resolution :premises (@p179 @p166) :args (@t127 @t66 (@list @t86))) % 0.46/0.64 (step @p181 :rule cnf_or_pos :args (@t133)) % 0.46/0.64 (step @p182 :rule reordering :premises (@p181) :args ((or @t128 @t132 (not @t133)))) % 0.46/0.64 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p149) :args (@t132 @t91 (@list @t127 @t133))) % 0.46/0.64 (step @p184 :rule cnf_and_pos :args (@t132 1)) % 0.46/0.64 (step @p185 :rule reordering :premises (@p184) :args ((or @t130 @t134))) % 0.46/0.64 (step @p186 :rule chain_m_resolution :premises (@p185 @p183) :args (@t130 @t99 @t135)) % 0.46/0.64 (step @p187 :rule cnf_or_pos :args (@t139)) % 0.46/0.64 (step @p188 :rule reordering :premises (@p187) :args ((or @t64 @t138 @t137 (not @t139)))) % 0.46/0.64 (step @p189 :rule chain_m_resolution :premises (@p188 @p160 @p186 @p148) :args (@t137 @t103 (@list @t63 @t130 @t139))) % 0.46/0.64 (step @p190 :rule cnf_and_pos :args (@t132 0)) % 0.46/0.64 (step @p191 :rule reordering :premises (@p190) :args ((or @t131 @t134))) % 0.46/0.64 (step @p192 :rule chain_m_resolution :premises (@p191 @p183) :args (@t131 @t99 @t135)) % 0.46/0.64 (step @p193 :rule cnf_equiv_pos1 :args (@t137)) % 0.46/0.64 (step @p194 :rule reordering :premises (@p193) :args ((or (not @t131) @t136 (not @t137)))) % 0.46/0.64 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p189) :args (@t136 @t91 (@list @t131 @t137))) % 0.46/0.64 (step @p196 :rule cnf_or_pos :args (@t143)) % 0.46/0.64 (step @p197 :rule reordering :premises (@p196) :args ((or @t142 @t119 @t141 (not @t143)))) % 0.46/0.64 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p138 @p53) :args (@t141 @t103 (@list @t136 @t118 @t143))) % 0.46/0.64 (step @p199 :rule skolemize :premises (@p198)) % 0.46/0.64 (step @p200 :rule bool-double-not-elim :args (@t145)) % 0.46/0.64 (step @p201 :rule refl :args (@t147)) % 0.46/0.64 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t147 (not @t146)))) % 0.46/0.64 (step @p203 :rule cnf_or_neg :args (@t147 1)) % 0.46/0.64 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.46/0.64 (step @p205 :rule reordering :premises (@p204) :args ((or @t145 @t147))) % 0.46/0.64 (step @p206 :rule chain_m_resolution :premises (@p205 @p199) :args (@t145 @t66 (@list @t147))) % 0.46/0.64 (step @p207 :rule cnf_or_pos :args (@t148)) % 0.46/0.64 (step @p208 :rule reordering :premises (@p207) :args ((or @t128 @t146 @t149))) % 0.46/0.64 (step @p209 :rule chain_m_resolution :premises (@p208 @p180 @p206) :args (@t149 @t91 (@list @t127 @t145))) % 0.46/0.64 (assume-push @p220 @t59) % 0.46/0.64 (step @p211 :rule instantiate :premises (@p34) :args ((@list @t87 @t144))) % 0.46/0.64 (step-pop @p221 :rule scope :premises (@p211)) % 0.46/0.64 (step @p212 :rule process_scope :premises (@p221) :args (@t148)) % 0.46/0.64 (step @p214 :rule implies_elim :premises (@p212)) % 0.46/0.64 (step @p215 false :rule chain_m_resolution :premises (@p214 @p209 @p34) :args (false (@list true false) (@list @t148 @t59))) % 0.46/0.64 ) % 0.46/0.64 % SZS output end Proof % 0.46/0.64 % cvc5 exiting %------------------------------------------------------------------------------