%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV581+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:56:09 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV581+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n009.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 : Tue Jun 2 18:40:29 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.e $$unsorted) % 0.37/0.60 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 0.37/0.60 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "Z" $$unsorted)) % 0.37/0.60 (define @t3 () (tptp.mem @t2 @t1)) % 0.37/0.60 (define @t4 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t5 () (tptp.mem @t2 @t4)) % 0.37/0.60 (define @t6 () (@list @t2)) % 0.37/0.60 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.60 (define @t8 () (tptp.subq @t4 @t1)) % 0.37/0.60 (define @t9 () (= @t8 @t7)) % 0.37/0.60 (define @t10 () (@list @t4 @t1)) % 0.37/0.60 (define @t11 () (forall @t10 @t9)) % 0.37/0.60 (define @t12 () (= @t4 @t1)) % 0.37/0.60 (define @t13 () (tptp.subq @t1 @t4)) % 0.37/0.60 (define @t14 () (@list @t4)) % 0.37/0.60 (define @t15 () (tptp.s @t1)) % 0.37/0.60 (define @t16 () (tptp.mem @t4 @t15)) % 0.37/0.60 (define @t17 () (forall @t10 (= @t16 @t12))) % 0.37/0.60 (define @t18 () (tptp.mem @t4 @t2)) % 0.37/0.60 (define @t19 () (tptp.mem @t4 @t1)) % 0.37/0.60 (define @t20 () (@list @t4 @t1 @t2)) % 0.37/0.60 (define @t21 () (tptp.p @t1)) % 0.37/0.60 (define @t22 () (tptp.mem @t4 @t21)) % 0.37/0.60 (define @t23 () (forall @t10 (= @t22 @t8))) % 0.37/0.60 (define @t24 () (@list @t1)) % 0.37/0.60 (define @t25 () (not @t8)) % 0.37/0.60 (define @t26 () (tptp.n tptp.e)) % 0.37/0.60 (define @t27 () (tptp.s (tptp.n @t26))) % 0.37/0.60 (define @t28 () (tptp.s @t26)) % 0.37/0.60 (define @t29 () (tptp.n @t28)) % 0.37/0.60 (define @t30 () (tptp.p @t29)) % 0.37/0.60 (define @t31 () (tptp.a @t30 @t27)) % 0.37/0.60 (define @t32 () (tptp.u @t28 @t31)) % 0.37/0.60 (define @t33 () (tptp.n @t29)) % 0.37/0.60 (define @t34 () (tptp.a @t33 @t27)) % 0.37/0.60 (define @t35 () (tptp.s @t28)) % 0.37/0.60 (define @t36 () (tptp.s @t35)) % 0.37/0.60 (define @t37 () (tptp.u @t36 @t34)) % 0.37/0.60 (define @t38 () (tptp.subq @t37 @t32)) % 0.37/0.60 (define @t39 () (forall @t6 (or (not (tptp.mem @t2 @t37)) (tptp.mem @t2 @t32)))) % 0.37/0.60 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.37/0.60 (define @t41 () (@list @t40 @t29)) % 0.37/0.60 (define @t42 () (tptp.subq @t40 @t29)) % 0.37/0.60 (define @t43 () (tptp.mem @t40 @t30)) % 0.37/0.60 (define @t44 () (forall @t10 (= @t8 @t22))) % 0.37/0.60 (define @t45 () (= @t42 @t43)) % 0.37/0.60 (define @t46 () (= @t43 @t42)) % 0.37/0.60 (define @t47 () (@list false)) % 0.37/0.60 (define @t48 () (tptp.s @t27)) % 0.37/0.60 (define @t49 () (= @t38 @t39)) % 0.37/0.60 (define @t50 () (not @t39)) % 0.37/0.60 (define @t51 () (@list true false)) % 0.37/0.60 (define @t52 () (tptp.mem @t40 @t32)) % 0.37/0.60 (define @t53 () (tptp.mem @t40 @t37)) % 0.37/0.60 (define @t54 () (not @t53)) % 0.37/0.60 (define @t55 () (or @t54 @t52)) % 0.37/0.60 (define @t56 () (@list true)) % 0.37/0.60 (define @t57 () (@list @t55)) % 0.37/0.60 (define @t58 () (tptp.mem @t40 @t31)) % 0.37/0.60 (define @t59 () (tptp.mem @t40 @t28)) % 0.37/0.60 (define @t60 () (or @t59 @t58)) % 0.37/0.60 (define @t61 () (= @t52 @t60)) % 0.37/0.60 (define @t62 () (not @t60)) % 0.37/0.60 (define @t63 () (@list @t60)) % 0.37/0.60 (define @t64 () (tptp.mem @t40 (tptp.u @t30 @t48))) % 0.37/0.60 (define @t65 () (tptp.mem @t40 @t48)) % 0.37/0.60 (define @t66 () (or @t43 @t65)) % 0.37/0.60 (define @t67 () (= @t64 @t66)) % 0.37/0.60 (define @t68 () (not @t66)) % 0.37/0.60 (define @t69 () (@list @t66)) % 0.37/0.60 (define @t70 () (not @t42)) % 0.37/0.60 (define @t71 () (forall @t6 (or (not (tptp.mem @t2 @t40)) (tptp.mem @t2 @t29)))) % 0.37/0.60 (define @t72 () (= @t42 @t71)) % 0.37/0.60 (define @t73 () (not @t71)) % 0.37/0.60 (define @t74 () (@quantifiers_skolemize @t71 0)) % 0.37/0.60 (define @t75 () (tptp.mem @t74 @t40)) % 0.37/0.60 (define @t76 () (tptp.mem @t74 @t29)) % 0.37/0.60 (define @t77 () (not @t75)) % 0.37/0.60 (define @t78 () (or @t77 @t76)) % 0.37/0.60 (define @t79 () (@list @t78)) % 0.37/0.60 (define @t80 () (not @t76)) % 0.37/0.60 (define @t81 () (tptp.u @t28 @t35)) % 0.37/0.60 (define @t82 () (tptp.mem @t74 @t81)) % 0.37/0.60 (define @t83 () (tptp.mem @t74 @t35)) % 0.37/0.60 (define @t84 () (tptp.mem @t74 @t28)) % 0.37/0.60 (define @t85 () (or @t84 @t83)) % 0.37/0.60 (define @t86 () (= @t82 @t85)) % 0.37/0.60 (define @t87 () (not @t85)) % 0.37/0.60 (define @t88 () (not @t84)) % 0.37/0.60 (define @t89 () (@list @t85)) % 0.37/0.60 (define @t90 () (tptp.mem @t40 @t35)) % 0.37/0.60 (define @t91 () (= @t40 @t28)) % 0.37/0.60 (define @t92 () (forall @t10 (= @t12 @t16))) % 0.37/0.60 (define @t93 () (= @t91 @t90)) % 0.37/0.60 (define @t94 () (= @t28 @t40)) % 0.37/0.60 (define @t95 () (= @t90 @t94)) % 0.37/0.60 (define @t96 () (@list @t92)) % 0.37/0.60 (define @t97 () (tptp.s @t29)) % 0.37/0.60 (define @t98 () (tptp.mem @t40 @t34)) % 0.37/0.60 (define @t99 () (tptp.mem @t40 @t36)) % 0.37/0.60 (define @t100 () (or @t99 @t98)) % 0.37/0.60 (define @t101 () (= @t53 @t100)) % 0.37/0.60 (define @t102 () (@list false false)) % 0.37/0.60 (define @t103 () (= @t40 @t35)) % 0.37/0.60 (define @t104 () (= @t103 @t99)) % 0.37/0.60 (define @t105 () (= @t35 @t40)) % 0.37/0.60 (define @t106 () (= @t99 @t105)) % 0.37/0.60 (define @t107 () (not @t83)) % 0.37/0.60 (define @t108 () (not @t105)) % 0.37/0.60 (define @t109 () (= true false)) % 0.37/0.60 (define @t110 () (and @t107 @t105 @t75)) % 0.37/0.60 (define @t111 () (@list false true)) % 0.37/0.60 (define @t112 () (not @t99)) % 0.37/0.60 (define @t113 () (tptp.u @t33 @t48)) % 0.37/0.60 (define @t114 () (= @t34 @t113)) % 0.37/0.60 (define @t115 () (tptp.mem @t40 @t113)) % 0.37/0.60 (define @t116 () (and @t114 @t98)) % 0.37/0.60 (define @t117 () (tptp.mem @t40 @t33)) % 0.37/0.60 (define @t118 () (or @t117 @t65)) % 0.37/0.60 (define @t119 () (= @t115 @t118)) % 0.37/0.60 (define @t120 () (tptp.a @t29 @t29)) % 0.37/0.60 (define @t121 () (= @t33 @t120)) % 0.37/0.60 (define @t122 () (tptp.u @t29 @t97)) % 0.37/0.60 (define @t123 () (= @t120 @t122)) % 0.37/0.60 (define @t124 () (tptp.mem @t40 @t122)) % 0.37/0.60 (define @t125 () (and @t121 @t123 @t117)) % 0.37/0.60 (define @t126 () (@list false false false)) % 0.37/0.60 (define @t127 () (tptp.mem @t40 @t97)) % 0.37/0.60 (define @t128 () (tptp.mem @t40 @t29)) % 0.37/0.60 (define @t129 () (or @t128 @t127)) % 0.37/0.60 (define @t130 () (= @t124 @t129)) % 0.37/0.60 (define @t131 () (= @t40 @t29)) % 0.37/0.60 (define @t132 () (= @t131 @t127)) % 0.37/0.60 (define @t133 () (= @t29 @t40)) % 0.37/0.60 (define @t134 () (= @t127 @t133)) % 0.37/0.60 (define @t135 () (not @t133)) % 0.37/0.60 (define @t136 () (and @t80 @t133 @t75)) % 0.37/0.60 (define @t137 () (not @t127)) % 0.37/0.60 (define @t138 () (tptp.a @t28 @t28)) % 0.37/0.60 (define @t139 () (= @t29 @t138)) % 0.37/0.60 (define @t140 () (= @t138 @t81)) % 0.37/0.60 (define @t141 () (tptp.mem @t40 @t81)) % 0.37/0.60 (define @t142 () (and @t139 @t140 @t128)) % 0.37/0.60 (define @t143 () (or @t59 @t90)) % 0.37/0.60 (define @t144 () (= @t141 @t143)) % 0.37/0.60 (define @t145 () (not @t94)) % 0.37/0.60 (define @t146 () (and @t88 @t94 @t75)) % 0.37/0.60 (assume @p1 @t11) % 0.37/0.60 (assume @p2 (forall @t10 (=> @t8 (=> @t13 @t12)))) % 0.37/0.60 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 0.37/0.60 (assume @p4 (forall @t14 (not (tptp.mem @t4 tptp.e)))) % 0.37/0.60 (assume @p5 @t17) % 0.37/0.60 (assume @p6 (forall @t20 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t19 @t18)))) % 0.37/0.60 (assume @p7 (forall @t20 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t19 (not @t18))))) % 0.37/0.60 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t15)))) % 0.37/0.60 (assume @p9 (forall @t14 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 0.37/0.60 (assume @p10 @t23) % 0.37/0.60 (assume @p11 (forall @t14 (= (tptp.atleast2p @t4) (exists @t24 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t21))))))) % 0.37/0.60 (assume @p12 (forall @t14 (= (tptp.atleast3p @t4) (exists @t24 (and @t13 (tptp.atleast2p @t1) @t25))))) % 0.37/0.60 (assume @p13 (forall @t14 (= (tptp.atleast4p @t4) (exists @t24 (and @t13 (tptp.atleast3p @t1) @t25))))) % 0.37/0.60 (assume @p14 (forall @t14 (= (tptp.atleast5p @t4) (exists @t24 (and @t13 (tptp.atleast4p @t1) @t25))))) % 0.37/0.60 (assume @p15 (forall @t14 (= (tptp.atleast6p @t4) (exists @t24 (and @t13 (tptp.atleast5p @t1) @t25))))) % 0.37/0.60 (assume @p16 (forall @t14 (= (tptp.atleast7p @t4) (exists @t24 (and @t13 (tptp.atleast6p @t1) @t25))))) % 0.37/0.60 (assume @p17 (forall @t14 (= (tptp.atleast8p @t4) (exists @t24 (and @t13 (tptp.atleast7p @t1) @t25))))) % 0.37/0.60 (assume @p18 (forall @t14 (= (tptp.atleast9p @t4) (exists @t24 (and @t13 (tptp.atleast8p @t1) @t25))))) % 0.37/0.60 (assume @p19 (forall @t14 (= (tptp.atleast10p @t4) (exists @t24 (and @t13 (tptp.atleast9p @t1) @t25))))) % 0.37/0.60 (assume @p20 (forall @t14 (= (tptp.atleast11p @t4) (exists @t24 (and @t13 (tptp.atleast10p @t1) @t25))))) % 0.37/0.60 (assume @p21 (forall @t14 (= (tptp.atleast12p @t4) (exists @t24 (and @t13 (tptp.atleast11p @t1) @t25))))) % 0.37/0.60 (assume @p22 (forall @t14 (= (tptp.atleast13p @t4) (exists @t24 (and @t13 (tptp.atleast12p @t1) @t25))))) % 0.37/0.60 (assume @p23 (forall @t14 (= (tptp.atleast14p @t4) (exists @t24 (and @t13 (tptp.atleast13p @t1) @t25))))) % 0.37/0.60 (assume @p24 (forall @t14 (= (tptp.atleast15p @t4) (exists @t24 (and @t13 (tptp.atleast14p @t1) @t25))))) % 0.37/0.60 (assume @p25 (forall @t14 (= (tptp.atleast16p @t4) (exists @t24 (and @t13 (tptp.atleast15p @t1) @t25))))) % 0.37/0.60 (assume @p26 (not @t38)) % 0.37/0.60 (assume @p27 true) % 0.37/0.60 (step @p28 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.60 (step @p29 :rule cong :premises (@p28) :args (@t7)) % 0.37/0.60 (step @p30 :rule refl :args (@t8)) % 0.37/0.60 (step @p31 :rule cong :premises (@p30 @p29) :args (@t9)) % 0.37/0.60 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 0.37/0.60 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.37/0.60 (step @p34 :rule instantiate :premises (@p33) :args (@t41)) % 0.37/0.60 (step @p35 :rule eq-symm :args (@t22 @t8)) % 0.37/0.60 (step @p36 :rule cong :premises (@p35) :args (@t23)) % 0.37/0.60 (step @p37 :rule eq_resolve :premises (@p10 @p36)) % 0.37/0.60 (step @p38 :rule eq-symm :args (@t42 @t43)) % 0.37/0.60 (step @p39 :rule refl :args (@t44)) % 0.37/0.60 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t44 @t45))) % 0.37/0.60 (assume-push @p362 @t44) % 0.37/0.60 (step @p42 :rule instantiate :premises (@p37) :args (@t41)) % 0.37/0.60 (step-pop @p363 :rule scope :premises (@p42)) % 0.37/0.60 (step @p43 :rule process_scope :premises (@p363) :args (@t45)) % 0.37/0.60 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 0.37/0.60 (step @p46 :rule implies_elim :premises (@p45)) % 0.37/0.60 (step @p47 :rule chain_m_resolution :premises (@p46 @p37) :args (@t46 @t47 (@list @t44))) % 0.37/0.60 (step @p48 :rule instantiate :premises (@p6) :args ((@list @t40 @t30 @t48))) % 0.37/0.60 (step @p49 :rule instantiate :premises (@p6) :args ((@list @t40 @t28 @t31))) % 0.37/0.60 (step @p50 :rule instantiate :premises (@p33) :args ((@list @t37 @t32))) % 0.37/0.60 (step @p51 :rule cnf_equiv_pos2 :args (@t49)) % 0.37/0.60 (step @p52 :rule reordering :premises (@p51) :args ((or @t38 @t50 (not @t49)))) % 0.37/0.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p26 @p50) :args (@t50 @t51 (@list @t38 @t49))) % 0.37/0.60 (step @p54 :rule skolemize :premises (@p53)) % 0.37/0.60 (step @p55 :rule cnf_or_neg :args (@t55 1)) % 0.37/0.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p54) :args ((not @t52) @t56 @t57)) % 0.37/0.60 (step @p57 :rule cnf_equiv_pos2 :args (@t61)) % 0.37/0.60 (step @p58 :rule reordering :premises (@p57) :args ((or @t52 @t62 (not @t61)))) % 0.37/0.60 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p49) :args (@t62 @t51 (@list @t52 @t61))) % 0.37/0.60 (step @p60 :rule cnf_or_neg :args (@t60 1)) % 0.37/0.60 (step @p61 :rule chain_m_resolution :premises (@p60 @p59) :args ((not @t58) @t56 @t63)) % 0.37/0.60 (step @p62 :rule false_intro :premises (@p61)) % 0.37/0.60 (step @p63 :rule instantiate :premises (@p8) :args ((@list @t30 @t27))) % 0.37/0.60 (step @p64 :rule symm :premises (@p63)) % 0.37/0.60 (step @p65 :rule refl :args (@t40)) % 0.37/0.60 (step @p66 :rule cong :premises (@p65 @p64) :args (@t64)) % 0.37/0.60 (step @p67 :rule trans :premises (@p66 @p62)) % 0.37/0.60 (step @p68 :rule false_elim :premises (@p67)) % 0.37/0.60 (step @p69 :rule cnf_equiv_pos2 :args (@t67)) % 0.37/0.60 (step @p70 :rule reordering :premises (@p69) :args ((or @t64 @t68 (not @t67)))) % 0.37/0.60 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p48) :args (@t68 @t51 (@list @t64 @t67))) % 0.37/0.60 (step @p72 :rule cnf_or_neg :args (@t66 0)) % 0.37/0.60 (step @p73 :rule chain_m_resolution :premises (@p72 @p71) :args ((not @t43) @t56 @t69)) % 0.37/0.60 (step @p74 :rule cnf_equiv_pos2 :args (@t46)) % 0.37/0.60 (step @p75 :rule reordering :premises (@p74) :args ((or @t43 @t70 (not @t46)))) % 0.37/0.60 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p47) :args (@t70 @t51 (@list @t43 @t46))) % 0.37/0.60 (step @p77 :rule cnf_equiv_pos2 :args (@t72)) % 0.37/0.60 (step @p78 :rule reordering :premises (@p77) :args ((or @t42 @t73 (not @t72)))) % 0.37/0.60 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p34) :args (@t73 @t51 (@list @t42 @t72))) % 0.37/0.60 (step @p80 :rule skolemize :premises (@p79)) % 0.37/0.60 (step @p81 :rule bool-double-not-elim :args (@t75)) % 0.37/0.60 (step @p82 :rule refl :args (@t78)) % 0.37/0.60 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t78 (not @t77)))) % 0.37/0.60 (step @p84 :rule cnf_or_neg :args (@t78 0)) % 0.37/0.60 (step @p85 :rule eq_resolve :premises (@p84 @p83)) 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:premises (@p319 @p318) :args (true @t142)) % 0.37/0.60 (step @p321 :rule chain_m_resolution :premises (@p320 @p92 @p94 @p297) :args (@t141 @t126 (@list @t139 @t140 @t128))) % 0.37/0.60 (step @p322 :rule cnf_equiv_pos1 :args (@t144)) % 0.37/0.60 (step @p323 :rule reordering :premises (@p322) :args ((or @t143 (not @t141) (not @t144)))) % 0.37/0.60 (step @p324 :rule chain_m_resolution :premises (@p323 @p321 @p123) :args (@t143 @t102 (@list @t141 @t144))) % 0.37/0.60 (step @p325 :rule cnf_or_neg :args (@t60 0)) % 0.37/0.60 (step @p326 :rule chain_m_resolution :premises (@p325 @p59) :args ((not @t59) @t56 @t63)) % 0.37/0.60 (step @p327 :rule cnf_or_pos :args (@t143)) % 0.37/0.60 (step @p328 :rule reordering :premises (@p327) :args ((or @t59 @t90 (not @t143)))) % 0.37/0.60 (step @p329 :rule chain_m_resolution :premises (@p328 @p326 @p324) :args (@t90 @t51 (@list @t59 @t143))) % 0.37/0.60 (step @p330 :rule cnf_equiv_pos1 :args (@t95)) % 0.37/0.60 (step @p331 :rule reordering :premises (@p330) :args ((or (not @t90) @t94 (not @t95)))) % 0.37/0.60 (step @p332 :rule chain_m_resolution :premises (@p331 @p329 @p122) :args (@t94 @t102 (@list @t90 @t95))) % 0.37/0.60 (step @p333 :rule bool-double-not-elim :args (@t84)) % 0.37/0.60 (step @p334 :rule refl :args (@t145)) % 0.37/0.60 (step @p335 :rule nary_cong :premises (@p153 @p334 @p333) :args ((or @t77 @t145 (not @t88)))) % 0.37/0.60 (assume-push @p426 @t88) % 0.37/0.60 (assume-push @p427 @t94) % 0.37/0.60 (assume-push @p428 @t75) % 0.37/0.60 (step @p159 :rule evaluate :args (@t109)) % 0.37/0.60 (step @p339 :rule false_intro :premises (@p105)) % 0.37/0.60 (step @p340 :rule symm :premises (@p427)) % 0.37/0.60 (step @p341 :rule cong :premises (@p97 @p340) :args (@t75)) % 0.37/0.60 (step @p163 :rule true_intro :premises (@p87)) % 0.37/0.60 (step @p164 :rule symm :premises (@p163)) % 0.37/0.60 (step @p342 :rule trans :premises (@p164 @p341 @p339)) % 0.37/0.60 (step @p343 false :rule eq_resolve :premises (@p342 @p159)) % 0.37/0.60 (step-pop @p429 :rule scope :premises (@p343)) % 0.37/0.60 (step-pop @p430 :rule scope :premises (@p429)) % 0.37/0.60 (step-pop @p431 :rule scope :premises (@p430)) % 0.37/0.60 (step @p344 :rule process_scope :premises (@p431) :args (false)) % 0.37/0.60 (assume-push @p432 @t75) % 0.37/0.60 (assume-push @p433 @t94) % 0.37/0.60 (assume-push @p434 @t88) % 0.37/0.60 (step @p351 :rule and_intro :premises (@p105 @p433 @p87)) % 0.37/0.60 (step-pop @p435 :rule scope :premises (@p351)) % 0.37/0.60 (step-pop @p436 :rule scope :premises (@p435)) % 0.37/0.60 (step-pop @p437 :rule scope :premises (@p436)) % 0.37/0.60 (step @p352 :rule process_scope :premises (@p437) :args (@t146)) % 0.37/0.60 (step @p356 :rule implies_elim :premises (@p352)) % 0.37/0.60 (step @p357 :rule resolution :premises (@p356 @p344) :args (true @t146)) % 0.37/0.60 (step @p358 :rule not_and :premises (@p357)) % 0.37/0.60 (step @p359 :rule eq_resolve :premises (@p358 @p335)) % 0.37/0.60 (step @p360 :rule reordering :premises (@p359) :args ((or @t77 @t84 @t145))) % 0.37/0.60 (step @p361 false :rule chain_m_resolution :premises (@p360 @p332 @p105 @p87) :args (false (@list false true false) (@list @t94 @t84 @t75))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------