%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV579+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV579+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:40:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.e $$unsorted) % 0.38/0.60 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t3 () (tptp.mem @t2 @t1)) % 0.38/0.60 (define @t4 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t5 () (tptp.mem @t2 @t4)) % 0.38/0.60 (define @t6 () (@list @t2)) % 0.38/0.60 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.60 (define @t8 () (tptp.subq @t4 @t1)) % 0.38/0.60 (define @t9 () (= @t8 @t7)) % 0.38/0.60 (define @t10 () (@list @t4 @t1)) % 0.38/0.60 (define @t11 () (forall @t10 @t9)) % 0.38/0.60 (define @t12 () (= @t4 @t1)) % 0.38/0.60 (define @t13 () (tptp.subq @t1 @t4)) % 0.38/0.60 (define @t14 () (@list @t4)) % 0.38/0.60 (define @t15 () (tptp.s @t1)) % 0.38/0.60 (define @t16 () (tptp.mem @t4 @t2)) % 0.38/0.60 (define @t17 () (tptp.mem @t4 @t1)) % 0.38/0.60 (define @t18 () (@list @t4 @t1 @t2)) % 0.38/0.60 (define @t19 () (tptp.p @t1)) % 0.38/0.60 (define @t20 () (@list @t1)) % 0.38/0.60 (define @t21 () (not @t8)) % 0.38/0.60 (define @t22 () (tptp.n tptp.e)) % 0.38/0.60 (define @t23 () (tptp.n @t22)) % 0.38/0.60 (define @t24 () (tptp.p @t23)) % 0.38/0.60 (define @t25 () (tptp.s @t22)) % 0.38/0.60 (define @t26 () (tptp.n @t25)) % 0.38/0.60 (define @t27 () (tptp.s @t26)) % 0.38/0.60 (define @t28 () (tptp.a @t27 @t24)) % 0.38/0.60 (define @t29 () (tptp.p @t25)) % 0.38/0.60 (define @t30 () (tptp.a @t25 @t29)) % 0.38/0.60 (define @t31 () (tptp.u @t30 @t28)) % 0.38/0.60 (define @t32 () (tptp.s @t25)) % 0.38/0.60 (define @t33 () (tptp.a @t32 @t23)) % 0.38/0.60 (define @t34 () (tptp.n @t33)) % 0.38/0.60 (define @t35 () (tptp.n @t23)) % 0.38/0.60 (define @t36 () (tptp.s @t23)) % 0.38/0.60 (define @t37 () (tptp.s @t36)) % 0.38/0.60 (define @t38 () (tptp.a @t37 @t35)) % 0.38/0.60 (define @t39 () (tptp.u @t38 @t34)) % 0.38/0.60 (define @t40 () (tptp.u @t39 @t31)) % 0.38/0.60 (define @t41 () (tptp.n @t26)) % 0.38/0.60 (define @t42 () (tptp.a @t41 @t35)) % 0.38/0.60 (define @t43 () (tptp.a @t36 @t29)) % 0.38/0.60 (define @t44 () (tptp.u @t43 @t42)) % 0.38/0.60 (define @t45 () (tptp.subq @t44 @t40)) % 0.38/0.60 (define @t46 () (tptp.s @t35)) % 0.38/0.60 (define @t47 () (forall @t6 (or (not (tptp.mem @t2 @t44)) (tptp.mem @t2 @t40)))) % 0.38/0.60 (define @t48 () (@quantifiers_skolemize @t47 0)) % 0.38/0.60 (define @t49 () (= @t45 @t47)) % 0.38/0.60 (define @t50 () (not @t47)) % 0.38/0.60 (define @t51 () (@list true false)) % 0.38/0.60 (define @t52 () (tptp.mem @t48 @t40)) % 0.38/0.60 (define @t53 () (tptp.mem @t48 @t44)) % 0.38/0.60 (define @t54 () (not @t53)) % 0.38/0.60 (define @t55 () (or @t54 @t52)) % 0.38/0.60 (define @t56 () (@list true)) % 0.38/0.60 (define @t57 () (@list @t55)) % 0.38/0.60 (define @t58 () (tptp.mem @t48 @t31)) % 0.38/0.60 (define @t59 () (tptp.mem @t48 @t39)) % 0.38/0.60 (define @t60 () (or @t59 @t58)) % 0.38/0.60 (define @t61 () (= @t52 @t60)) % 0.38/0.60 (define @t62 () (not @t60)) % 0.38/0.60 (define @t63 () (@list @t60)) % 0.38/0.60 (define @t64 () (tptp.mem @t48 @t34)) % 0.38/0.60 (define @t65 () (tptp.mem @t48 @t38)) % 0.38/0.60 (define @t66 () (or @t65 @t64)) % 0.38/0.60 (define @t67 () (= @t59 @t66)) % 0.38/0.60 (define @t68 () (not @t66)) % 0.38/0.60 (define @t69 () (@list @t66)) % 0.38/0.60 (define @t70 () (tptp.mem @t48 (tptp.u @t37 @t46))) % 0.38/0.60 (define @t71 () (tptp.mem @t48 @t46)) % 0.38/0.60 (define @t72 () (or (tptp.mem @t48 @t37) @t71)) % 0.38/0.60 (define @t73 () (= @t70 @t72)) % 0.38/0.60 (define @t74 () (not @t72)) % 0.38/0.60 (define @t75 () (not @t71)) % 0.38/0.60 (define @t76 () (tptp.s @t33)) % 0.38/0.60 (define @t77 () (tptp.mem @t48 (tptp.u @t33 @t76))) % 0.38/0.60 (define @t78 () (tptp.mem @t48 @t33)) % 0.38/0.60 (define @t79 () (or @t78 (tptp.mem @t48 @t76))) % 0.38/0.60 (define @t80 () (= @t77 @t79)) % 0.38/0.60 (define @t81 () (not @t79)) % 0.38/0.60 (define @t82 () (tptp.mem @t48 (tptp.u @t32 @t36))) % 0.38/0.60 (define @t83 () (tptp.mem @t48 @t36)) % 0.38/0.60 (define @t84 () (tptp.mem @t48 @t32)) % 0.38/0.60 (define @t85 () (or @t84 @t83)) % 0.38/0.60 (define @t86 () (= @t82 @t85)) % 0.38/0.60 (define @t87 () (not @t85)) % 0.38/0.60 (define @t88 () (@list @t85)) % 0.38/0.60 (define @t89 () (tptp.s @t29)) % 0.38/0.60 (define @t90 () (tptp.mem @t48 @t28)) % 0.38/0.60 (define @t91 () (tptp.mem @t48 @t30)) % 0.38/0.60 (define @t92 () (or @t91 @t90)) % 0.38/0.60 (define @t93 () (= @t58 @t92)) % 0.38/0.60 (define @t94 () (not @t92)) % 0.38/0.60 (define @t95 () (@list @t92)) % 0.38/0.60 (define @t96 () (tptp.mem @t48 (tptp.u @t25 @t89))) % 0.38/0.60 (define @t97 () (tptp.mem @t48 @t89)) % 0.38/0.60 (define @t98 () (tptp.mem @t48 @t25)) % 0.38/0.60 (define @t99 () (or @t98 @t97)) % 0.38/0.60 (define @t100 () (= @t96 @t99)) % 0.38/0.60 (define @t101 () (not @t99)) % 0.38/0.60 (define @t102 () (@list @t99)) % 0.38/0.60 (define @t103 () (or @t98 @t84)) % 0.38/0.60 (define @t104 () (not @t103)) % 0.38/0.60 (define @t105 () (@list true true)) % 0.38/0.60 (define @t106 () (tptp.mem @t48 (tptp.u @t25 @t32))) % 0.38/0.60 (define @t107 () (= @t106 @t103)) % 0.38/0.60 (define @t108 () (not @t106)) % 0.38/0.60 (define @t109 () (tptp.mem @t48 @t26)) % 0.38/0.60 (define @t110 () (tptp.s @t24)) % 0.38/0.60 (define @t111 () (tptp.mem @t48 (tptp.u @t27 @t110))) % 0.38/0.60 (define @t112 () (tptp.mem @t48 @t27)) % 0.38/0.60 (define @t113 () (or @t112 (tptp.mem @t48 @t110))) % 0.38/0.60 (define @t114 () (= @t111 @t113)) % 0.38/0.60 (define @t115 () (not @t113)) % 0.38/0.60 (define @t116 () (or @t109 @t112)) % 0.38/0.60 (define @t117 () (not @t116)) % 0.38/0.60 (define @t118 () (tptp.mem @t48 (tptp.u @t26 @t27))) % 0.38/0.60 (define @t119 () (= @t118 @t116)) % 0.38/0.60 (define @t120 () (not @t118)) % 0.38/0.60 (define @t121 () (tptp.mem @t48 @t41)) % 0.38/0.60 (define @t122 () (tptp.mem @t48 @t42)) % 0.38/0.60 (define @t123 () (tptp.mem @t48 @t43)) % 0.38/0.60 (define @t124 () (or @t123 @t122)) % 0.38/0.60 (define @t125 () (= @t53 @t124)) % 0.38/0.60 (define @t126 () (@list false false)) % 0.38/0.60 (define @t127 () (not @t97)) % 0.38/0.60 (define @t128 () (not @t83)) % 0.38/0.60 (define @t129 () (or @t83 @t97)) % 0.38/0.60 (define @t130 () (not @t129)) % 0.38/0.60 (define @t131 () (tptp.mem @t48 (tptp.u @t36 @t89))) % 0.38/0.60 (define @t132 () (= @t131 @t129)) % 0.38/0.60 (define @t133 () (not @t131)) % 0.38/0.60 (define @t134 () (tptp.mem @t48 (tptp.u @t41 @t46))) % 0.38/0.60 (define @t135 () (or @t121 @t71)) % 0.38/0.60 (define @t136 () (= @t134 @t135)) % 0.38/0.60 (assume @p1 @t11) % 0.38/0.60 (assume @p2 (forall @t10 (=> @t8 (=> @t13 @t12)))) % 0.38/0.60 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 0.38/0.60 (assume @p4 (forall @t14 (not (tptp.mem @t4 tptp.e)))) % 0.38/0.60 (assume @p5 (forall @t10 (= (tptp.mem @t4 @t15) @t12))) % 0.38/0.60 (assume @p6 (forall @t18 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t17 @t16)))) % 0.38/0.60 (assume @p7 (forall @t18 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t17 (not @t16))))) % 0.38/0.60 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t15)))) % 0.38/0.60 (assume @p9 (forall @t14 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 0.38/0.60 (assume @p10 (forall @t10 (= (tptp.mem @t4 @t19) @t8))) % 0.38/0.60 (assume @p11 (forall @t14 (= (tptp.atleast2p @t4) (exists @t20 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t19))))))) % 0.38/0.60 (assume @p12 (forall @t14 (= (tptp.atleast3p @t4) (exists @t20 (and @t13 (tptp.atleast2p @t1) @t21))))) % 0.38/0.60 (assume @p13 (forall @t14 (= (tptp.atleast4p @t4) (exists @t20 (and @t13 (tptp.atleast3p @t1) @t21))))) % 0.38/0.60 (assume @p14 (forall @t14 (= (tptp.atleast5p @t4) (exists @t20 (and @t13 (tptp.atleast4p @t1) @t21))))) % 0.38/0.60 (assume @p15 (forall @t14 (= (tptp.atleast6p @t4) (exists @t20 (and @t13 (tptp.atleast5p @t1) @t21))))) % 0.38/0.60 (assume @p16 (forall @t14 (= (tptp.atleast7p @t4) (exists @t20 (and @t13 (tptp.atleast6p @t1) @t21))))) % 0.38/0.60 (assume @p17 (forall @t14 (= (tptp.atleast8p @t4) (exists @t20 (and @t13 (tptp.atleast7p @t1) @t21))))) % 0.38/0.60 (assume @p18 (forall @t14 (= (tptp.atleast9p @t4) (exists @t20 (and @t13 (tptp.atleast8p @t1) @t21))))) % 0.38/0.60 (assume @p19 (forall @t14 (= (tptp.atleast10p @t4) (exists @t20 (and @t13 (tptp.atleast9p @t1) @t21))))) % 0.38/0.60 (assume @p20 (forall @t14 (= (tptp.atleast11p @t4) (exists @t20 (and @t13 (tptp.atleast10p @t1) @t21))))) % 0.38/0.60 (assume @p21 (forall @t14 (= (tptp.atleast12p @t4) (exists @t20 (and @t13 (tptp.atleast11p @t1) @t21))))) % 0.38/0.60 (assume @p22 (forall @t14 (= (tptp.atleast13p @t4) (exists @t20 (and @t13 (tptp.atleast12p @t1) @t21))))) % 0.38/0.60 (assume @p23 (forall @t14 (= (tptp.atleast14p @t4) (exists @t20 (and @t13 (tptp.atleast13p @t1) @t21))))) % 0.38/0.60 (assume @p24 (forall @t14 (= (tptp.atleast15p @t4) (exists @t20 (and @t13 (tptp.atleast14p @t1) @t21))))) % 0.38/0.60 (assume @p25 (forall @t14 (= (tptp.atleast16p @t4) (exists @t20 (and @t13 (tptp.atleast15p @t1) @t21))))) % 0.38/0.60 (assume @p26 (not @t45)) % 0.38/0.60 (assume @p27 true) % 0.38/0.60 (step @p28 :rule instantiate :premises (@p6) :args ((@list @t48 @t37 @t46))) % 0.38/0.60 (step @p29 :rule instantiate :premises (@p6) :args ((@list @t48 @t38 @t34))) % 0.38/0.60 (step @p30 :rule instantiate :premises (@p6) :args ((@list @t48 @t39 @t31))) % 0.38/0.60 (step @p31 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.60 (step @p32 :rule cong :premises (@p31) :args (@t7)) % 0.38/0.60 (step @p33 :rule refl :args (@t8)) % 0.38/0.60 (step @p34 :rule cong :premises (@p33 @p32) :args (@t9)) % 0.38/0.60 (step @p35 :rule cong :premises (@p34) :args (@t11)) % 0.38/0.60 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.38/0.60 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t44 @t40))) % 0.38/0.60 (step @p38 :rule cnf_equiv_pos2 :args (@t49)) % 0.38/0.60 (step @p39 :rule reordering :premises (@p38) :args ((or @t45 @t50 (not @t49)))) % 0.38/0.60 (step @p40 :rule chain_m_resolution :premises (@p39 @p26 @p37) :args (@t50 @t51 (@list @t45 @t49))) % 0.38/0.60 (step @p41 :rule skolemize :premises (@p40)) % 0.38/0.60 (step @p42 :rule cnf_or_neg :args (@t55 1)) % 0.38/0.60 (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args ((not @t52) @t56 @t57)) % 0.38/0.60 (step @p44 :rule cnf_equiv_pos2 :args (@t61)) % 0.38/0.60 (step @p45 :rule reordering :premises (@p44) :args ((or @t52 @t62 (not @t61)))) % 0.38/0.60 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p30) :args (@t62 @t51 (@list @t52 @t61))) % 0.38/0.60 (step @p47 :rule cnf_or_neg :args (@t60 0)) % 0.38/0.60 (step @p48 :rule chain_m_resolution :premises (@p47 @p46) :args ((not @t59) @t56 @t63)) % 0.38/0.60 (step @p49 :rule cnf_equiv_pos2 :args (@t67)) % 0.38/0.60 (step @p50 :rule reordering :premises (@p49) :args ((or @t59 @t68 (not @t67)))) % 0.38/0.60 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p29) :args (@t68 @t51 (@list @t59 @t67))) % 0.38/0.60 (step @p52 :rule cnf_or_neg :args (@t66 0)) % 0.38/0.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p51) :args ((not @t65) @t56 @t69)) % 0.38/0.60 (step @p54 :rule false_intro :premises (@p53)) % 0.38/0.60 (step @p55 :rule instantiate :premises (@p8) :args ((@list @t37 @t35))) % 0.38/0.60 (step @p56 :rule symm :premises (@p55)) % 0.38/0.60 (step @p57 :rule refl :args (@t48)) % 0.38/0.60 (step @p58 :rule cong :premises (@p57 @p56) :args (@t70)) % 0.38/0.60 (step @p59 :rule trans :premises (@p58 @p54)) % 0.38/0.60 (step @p60 :rule false_elim :premises (@p59)) % 0.38/0.60 (step @p61 :rule cnf_equiv_pos2 :args (@t73)) % 0.38/0.60 (step @p62 :rule reordering :premises (@p61) :args ((or @t70 @t74 (not @t73)))) % 0.38/0.60 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p28) :args (@t74 @t51 (@list @t70 @t73))) % 0.38/0.60 (step @p64 :rule cnf_or_neg :args (@t72 1)) % 0.38/0.60 (step @p65 :rule reordering :premises (@p64) :args ((or @t75 @t72))) % 0.38/0.60 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t75 @t56 (@list @t72))) % 0.38/0.60 (step @p67 :rule instantiate :premises (@p6) :args ((@list @t48 @t26 @t27))) % 0.38/0.60 (step @p68 :rule instantiate :premises (@p6) :args ((@list @t48 @t25 @t32))) % 0.38/0.60 (step @p69 :rule instantiate :premises (@p6) :args ((@list @t48 @t32 @t36))) % 0.38/0.60 (step @p70 :rule instantiate :premises (@p6) :args ((@list @t48 @t33 @t76))) % 0.38/0.60 (step @p71 :rule cnf_or_neg :args (@t66 1)) % 0.38/0.60 (step @p72 :rule chain_m_resolution :premises (@p71 @p51) :args ((not @t64) @t56 @t69)) % 0.38/0.60 (step @p73 :rule false_intro :premises (@p72)) % 0.38/0.60 (step @p74 :rule instantiate :premises (@p9) :args ((@list @t33))) % 0.38/0.60 (step @p75 :rule symm :premises (@p74)) % 0.38/0.60 (step @p76 :rule instantiate :premises (@p8) :args ((@list @t33 @t33))) % 0.38/0.60 (step @p77 :rule symm :premises (@p76)) % 0.38/0.60 (step @p78 :rule trans :premises (@p77 @p75)) % 0.38/0.60 (step @p79 :rule cong :premises (@p57 @p78) :args (@t77)) % 0.38/0.60 (step @p80 :rule trans :premises (@p79 @p73)) % 0.38/0.60 (step @p81 :rule false_elim :premises (@p80)) % 0.38/0.60 (step @p82 :rule cnf_equiv_pos2 :args (@t80)) % 0.38/0.60 (step @p83 :rule reordering :premises (@p82) :args ((or @t77 @t81 (not @t80)))) % 0.38/0.60 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p70) :args (@t81 @t51 (@list @t77 @t80))) % 0.38/0.60 (step @p85 :rule cnf_or_neg :args (@t79 0)) % 0.38/0.60 (step @p86 :rule chain_m_resolution :premises (@p85 @p84) :args ((not @t78) @t56 (@list @t79))) % 0.38/0.60 (step @p87 :rule false_intro :premises (@p86)) % 0.38/0.60 (step @p88 :rule instantiate :premises (@p8) :args ((@list @t32 @t23))) % 0.38/0.60 (step @p89 :rule symm :premises (@p88)) % 0.38/0.60 (step @p90 :rule cong :premises (@p57 @p89) :args (@t82)) % 0.38/0.60 (step @p91 :rule trans :premises (@p90 @p87)) % 0.38/0.60 (step @p92 :rule false_elim :premises (@p91)) % 0.38/0.60 (step @p93 :rule cnf_equiv_pos2 :args (@t86)) % 0.38/0.60 (step @p94 :rule reordering :premises (@p93) :args ((or @t82 @t87 (not @t86)))) % 0.38/0.60 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p69) :args (@t87 @t51 (@list @t82 @t86))) % 0.38/0.60 (step @p96 :rule cnf_or_neg :args (@t85 0)) % 0.38/0.60 (step @p97 :rule chain_m_resolution :premises (@p96 @p95) :args ((not @t84) @t56 @t88)) % 0.38/0.60 (step @p98 :rule instantiate :premises (@p6) :args ((@list @t48 @t25 @t89))) % 0.38/0.60 (step @p99 :rule instantiate :premises (@p6) :args ((@list @t48 @t30 @t28))) % 0.38/0.60 (step @p100 :rule cnf_or_neg :args (@t60 1)) % 0.38/0.60 (step @p101 :rule chain_m_resolution :premises (@p100 @p46) :args ((not @t58) @t56 @t63)) % 0.38/0.60 (step @p102 :rule cnf_equiv_pos2 :args (@t93)) % 0.38/0.60 (step @p103 :rule reordering :premises (@p102) :args ((or @t58 @t94 (not @t93)))) % 0.38/0.60 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p99) :args (@t94 @t51 (@list @t58 @t93))) % 0.38/0.60 (step @p105 :rule cnf_or_neg :args (@t92 0)) % 0.38/0.60 (step @p106 :rule chain_m_resolution :premises (@p105 @p104) :args ((not @t91) @t56 @t95)) % 0.38/0.60 (step @p107 :rule false_intro :premises (@p106)) % 0.38/0.60 (step @p108 :rule instantiate :premises (@p8) :args ((@list @t25 @t29))) % 0.38/0.60 (step @p109 :rule symm :premises (@p108)) % 0.38/0.60 (step @p110 :rule cong :premises (@p57 @p109) :args (@t96)) % 0.38/0.60 (step @p111 :rule trans :premises (@p110 @p107)) % 0.38/0.60 (step @p112 :rule false_elim :premises (@p111)) % 0.38/0.60 (step @p113 :rule cnf_equiv_pos2 :args (@t100)) % 0.38/0.60 (step @p114 :rule reordering :premises (@p113) :args ((or @t96 @t101 (not @t100)))) % 0.38/0.60 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p98) :args (@t101 @t51 (@list @t96 @t100))) % 0.38/0.60 (step @p116 :rule cnf_or_neg :args (@t99 0)) % 0.38/0.60 (step @p117 :rule chain_m_resolution :premises (@p116 @p115) :args ((not @t98) @t56 @t102)) % 0.38/0.60 (step @p118 :rule cnf_or_pos :args (@t103)) % 0.38/0.60 (step @p119 :rule reordering :premises (@p118) :args ((or @t98 @t84 @t104))) % 0.38/0.60 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p97) :args (@t104 @t105 (@list @t98 @t84))) % 0.38/0.60 (step @p121 :rule cnf_equiv_pos1 :args (@t107)) % 0.38/0.60 (step @p122 :rule reordering :premises (@p121) :args ((or @t103 @t108 (not @t107)))) % 0.38/0.60 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p68) :args (@t108 @t51 (@list @t103 @t107))) % 0.38/0.60 (step @p124 :rule false_intro :premises (@p123)) % 0.38/0.60 (step @p125 :rule instantiate :premises (@p8) :args ((@list @t25 @t25))) % 0.38/0.60 (step @p126 :rule instantiate :premises (@p9) :args ((@list @t25))) % 0.38/0.60 (step @p127 :rule trans :premises (@p126 @p125)) % 0.38/0.60 (step @p128 :rule cong :premises (@p57 @p127) :args (@t109)) % 0.38/0.60 (step @p129 :rule trans :premises (@p128 @p124)) % 0.38/0.60 (step @p130 :rule false_elim :premises (@p129)) % 0.38/0.60 (step @p131 :rule instantiate :premises (@p6) :args ((@list @t48 @t27 @t110))) % 0.38/0.60 (step @p132 :rule cnf_or_neg :args (@t92 1)) % 0.38/0.60 (step @p133 :rule chain_m_resolution :premises (@p132 @p104) :args ((not @t90) @t56 @t95)) % 0.38/0.60 (step @p134 :rule false_intro :premises (@p133)) % 0.38/0.60 (step @p135 :rule instantiate :premises (@p8) :args ((@list @t27 @t24))) % 0.38/0.60 (step @p136 :rule symm :premises (@p135)) % 0.38/0.60 (step @p137 :rule cong :premises (@p57 @p136) :args (@t111)) % 0.38/0.60 (step @p138 :rule trans :premises (@p137 @p134)) % 0.38/0.60 (step @p139 :rule false_elim :premises (@p138)) % 0.38/0.60 (step @p140 :rule cnf_equiv_pos2 :args (@t114)) % 0.38/0.60 (step @p141 :rule reordering :premises (@p140) :args ((or @t111 @t115 (not @t114)))) % 0.38/0.60 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p131) :args (@t115 @t51 (@list @t111 @t114))) % 0.38/0.60 (step @p143 :rule cnf_or_neg :args (@t113 0)) % 0.38/0.60 (step @p144 :rule chain_m_resolution :premises (@p143 @p142) :args ((not @t112) @t56 (@list @t113))) % 0.38/0.60 (step @p145 :rule cnf_or_pos :args (@t116)) % 0.38/0.60 (step @p146 :rule reordering :premises (@p145) :args ((or @t112 @t109 @t117))) % 0.38/0.60 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p130) :args (@t117 @t105 (@list @t112 @t109))) % 0.38/0.60 (step @p148 :rule cnf_equiv_pos1 :args (@t119)) % 0.38/0.60 (step @p149 :rule reordering :premises (@p148) :args ((or @t116 @t120 (not @t119)))) % 0.38/0.60 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p67) :args (@t120 @t51 (@list @t116 @t119))) % 0.38/0.60 (step @p151 :rule false_intro :premises (@p150)) % 0.38/0.60 (step @p152 :rule instantiate :premises (@p8) :args ((@list @t26 @t26))) % 0.38/0.60 (step @p153 :rule instantiate :premises (@p9) :args ((@list @t26))) % 0.38/0.60 (step @p154 :rule trans :premises (@p153 @p152)) % 0.38/0.60 (step @p155 :rule cong :premises (@p57 @p154) :args (@t121)) % 0.38/0.60 (step @p156 :rule trans :premises (@p155 @p151)) % 0.38/0.60 (step @p157 :rule false_elim :premises (@p156)) % 0.38/0.60 (step @p158 :rule instantiate :premises (@p6) :args ((@list @t48 @t41 @t46))) % 0.38/0.60 (step @p159 :rule instantiate :premises (@p6) :args ((@list @t48 @t43 @t42))) % 0.38/0.60 (step @p160 :rule bool-double-not-elim :args (@t53)) % 0.38/0.60 (step @p161 :rule refl :args (@t55)) % 0.38/0.60 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t55 (not @t54)))) % 0.38/0.60 (step @p163 :rule cnf_or_neg :args (@t55 0)) % 0.38/0.60 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.38/0.60 (step @p165 :rule reordering :premises (@p164) :args ((or @t53 @t55))) % 0.38/0.60 (step @p166 :rule chain_m_resolution :premises (@p165 @p41) :args (@t53 @t56 @t57)) % 0.38/0.60 (step @p167 :rule cnf_equiv_pos1 :args (@t125)) % 0.38/0.60 (step @p168 :rule reordering :premises (@p167) :args ((or @t54 @t124 (not @t125)))) % 0.38/0.60 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p159) :args (@t124 @t126 (@list @t53 @t125))) % 0.38/0.60 (step @p170 :rule instantiate :premises (@p6) :args ((@list @t48 @t36 @t89))) % 0.38/0.60 (step @p171 :rule cnf_or_neg :args (@t99 1)) % 0.38/0.60 (step @p172 :rule reordering :premises (@p171) :args ((or @t127 @t99))) % 0.38/0.60 (step @p173 :rule chain_m_resolution :premises (@p172 @p115) :args (@t127 @t56 @t102)) % 0.38/0.60 (step @p174 :rule cnf_or_neg :args (@t85 1)) % 0.38/0.60 (step @p175 :rule reordering :premises (@p174) :args ((or @t128 @t85))) % 0.38/0.60 (step @p176 :rule chain_m_resolution :premises (@p175 @p95) :args (@t128 @t56 @t88)) % 0.38/0.60 (step @p177 :rule cnf_or_pos :args (@t129)) % 0.38/0.60 (step @p178 :rule reordering :premises (@p177) :args ((or @t83 @t97 @t130))) % 0.38/0.60 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p173) :args (@t130 @t105 (@list @t83 @t97))) % 0.38/0.60 (step @p180 :rule cnf_equiv_pos1 :args (@t132)) % 0.38/0.60 (step @p181 :rule reordering :premises (@p180) :args ((or @t129 @t133 (not @t132)))) % 0.38/0.60 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p170) :args (@t133 @t51 (@list @t129 @t132))) % 0.38/0.60 (step @p183 :rule false_intro :premises (@p182)) % 0.38/0.60 (step @p184 :rule instantiate :premises (@p8) :args ((@list @t36 @t29))) % 0.38/0.60 (step @p185 :rule cong :premises (@p57 @p184) :args (@t123)) % 0.38/0.60 (step @p186 :rule trans :premises (@p185 @p183)) % 0.38/0.60 (step @p187 :rule false_elim :premises (@p186)) % 0.38/0.60 (step @p188 :rule cnf_or_pos :args (@t124)) % 0.38/0.60 (step @p189 :rule reordering :premises (@p188) :args ((or @t123 @t122 (not @t124)))) % 0.38/0.60 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p169) :args (@t122 @t51 (@list @t123 @t124))) % 0.38/0.60 (step @p191 :rule true_intro :premises (@p190)) % 0.38/0.60 (step @p192 :rule instantiate :premises (@p8) :args ((@list @t41 @t35))) % 0.38/0.60 (step @p193 :rule symm :premises (@p192)) % 0.38/0.60 (step @p194 :rule cong :premises (@p57 @p193) :args (@t134)) % 0.38/0.60 (step @p195 :rule trans :premises (@p194 @p191)) % 0.38/0.60 (step @p196 :rule true_elim :premises (@p195)) % 0.38/0.60 (step @p197 :rule cnf_equiv_pos1 :args (@t136)) % 0.38/0.60 (step @p198 :rule reordering :premises (@p197) :args ((or @t135 (not @t134) (not @t136)))) % 0.38/0.60 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p158) :args (@t135 @t126 (@list @t134 @t136))) % 0.38/0.60 (step @p200 :rule cnf_or_pos :args (@t135)) % 0.38/0.60 (step @p201 :rule reordering :premises (@p200) :args ((or @t121 @t71 (not @t135)))) % 0.38/0.60 (step @p202 false :rule chain_m_resolution :premises (@p201 @p199 @p157 @p66) :args (false (@list false true true) (@list @t135 @t121 @t71))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------