%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV580+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 : n001.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 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV580+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.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 : Tue Jun 2 18:41:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.e $$unsorted) % 0.38/0.58 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t3 () (tptp.mem @t2 @t1)) % 0.38/0.58 (define @t4 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t5 () (tptp.mem @t2 @t4)) % 0.38/0.58 (define @t6 () (@list @t2)) % 0.38/0.58 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.58 (define @t8 () (tptp.subq @t4 @t1)) % 0.38/0.58 (define @t9 () (= @t8 @t7)) % 0.38/0.58 (define @t10 () (@list @t4 @t1)) % 0.38/0.58 (define @t11 () (forall @t10 @t9)) % 0.38/0.58 (define @t12 () (= @t4 @t1)) % 0.38/0.58 (define @t13 () (tptp.subq @t1 @t4)) % 0.38/0.58 (define @t14 () (@list @t4)) % 0.38/0.58 (define @t15 () (tptp.s @t1)) % 0.38/0.58 (define @t16 () (tptp.mem @t4 @t15)) % 0.38/0.58 (define @t17 () (forall @t10 (= @t16 @t12))) % 0.38/0.58 (define @t18 () (tptp.mem @t4 @t2)) % 0.38/0.58 (define @t19 () (tptp.mem @t4 @t1)) % 0.38/0.58 (define @t20 () (@list @t4 @t1 @t2)) % 0.38/0.58 (define @t21 () (tptp.p @t1)) % 0.38/0.58 (define @t22 () (tptp.mem @t4 @t21)) % 0.38/0.58 (define @t23 () (forall @t10 (= @t22 @t8))) % 0.38/0.58 (define @t24 () (@list @t1)) % 0.38/0.58 (define @t25 () (not @t8)) % 0.38/0.58 (define @t26 () (tptp.n tptp.e)) % 0.38/0.58 (define @t27 () (tptp.n @t26)) % 0.38/0.58 (define @t28 () (tptp.s (tptp.n @t27))) % 0.38/0.58 (define @t29 () (tptp.n (tptp.s @t27))) % 0.38/0.58 (define @t30 () (tptp.s @t26)) % 0.38/0.58 (define @t31 () (tptp.s @t30)) % 0.38/0.58 (define @t32 () (tptp.p @t31)) % 0.38/0.58 (define @t33 () (tptp.u @t32 @t29)) % 0.38/0.58 (define @t34 () (tptp.s (tptp.u @t26 (tptp.n @t30)))) % 0.38/0.58 (define @t35 () (tptp.u @t34 @t33)) % 0.38/0.58 (define @t36 () (tptp.u @t35 @t28)) % 0.38/0.58 (define @t37 () (tptp.s @t31)) % 0.38/0.58 (define @t38 () (tptp.u @t37 @t29)) % 0.38/0.58 (define @t39 () (tptp.u @t34 @t38)) % 0.38/0.58 (define @t40 () (tptp.u @t39 @t28)) % 0.38/0.58 (define @t41 () (tptp.subq @t40 @t36)) % 0.38/0.58 (define @t42 () (forall @t6 (or (not (tptp.mem @t2 @t40)) (tptp.mem @t2 @t36)))) % 0.38/0.58 (define @t43 () (@quantifiers_skolemize @t42 0)) % 0.38/0.58 (define @t44 () (tptp.mem @t43 @t37)) % 0.38/0.58 (define @t45 () (= @t43 @t31)) % 0.38/0.58 (define @t46 () (forall @t10 (= @t12 @t16))) % 0.38/0.58 (define @t47 () (= @t45 @t44)) % 0.38/0.58 (define @t48 () (@list @t43 @t31)) % 0.38/0.58 (define @t49 () (= @t31 @t43)) % 0.38/0.58 (define @t50 () (= @t44 @t49)) % 0.38/0.58 (define @t51 () (@list false)) % 0.38/0.58 (define @t52 () (= @t41 @t42)) % 0.38/0.58 (define @t53 () (not @t42)) % 0.38/0.58 (define @t54 () (@list true false)) % 0.38/0.58 (define @t55 () (tptp.mem @t43 @t40)) % 0.38/0.58 (define @t56 () (tptp.mem @t43 @t36)) % 0.38/0.58 (define @t57 () (not @t55)) % 0.38/0.58 (define @t58 () (or @t57 @t56)) % 0.38/0.58 (define @t59 () (@list true)) % 0.38/0.58 (define @t60 () (@list @t58)) % 0.38/0.58 (define @t61 () (tptp.mem @t43 @t28)) % 0.38/0.58 (define @t62 () (tptp.mem @t43 @t39)) % 0.38/0.58 (define @t63 () (or @t62 @t61)) % 0.38/0.58 (define @t64 () (= @t55 @t63)) % 0.38/0.58 (define @t65 () (@list false false)) % 0.38/0.58 (define @t66 () (tptp.mem @t43 @t35)) % 0.38/0.58 (define @t67 () (or @t66 @t61)) % 0.38/0.58 (define @t68 () (= @t56 @t67)) % 0.38/0.58 (define @t69 () (not @t67)) % 0.38/0.58 (define @t70 () (@list @t67)) % 0.38/0.58 (define @t71 () (tptp.mem @t43 @t38)) % 0.38/0.58 (define @t72 () (tptp.mem @t43 @t34)) % 0.38/0.58 (define @t73 () (or @t72 @t71)) % 0.38/0.58 (define @t74 () (= @t62 @t73)) % 0.38/0.58 (define @t75 () (tptp.mem @t43 @t33)) % 0.38/0.58 (define @t76 () (or @t72 @t75)) % 0.38/0.58 (define @t77 () (= @t66 @t76)) % 0.38/0.58 (define @t78 () (not @t76)) % 0.38/0.58 (define @t79 () (@list @t76)) % 0.38/0.58 (define @t80 () (tptp.mem @t43 @t29)) % 0.38/0.58 (define @t81 () (or @t44 @t80)) % 0.38/0.58 (define @t82 () (= @t71 @t81)) % 0.38/0.58 (define @t83 () (tptp.mem @t43 @t32)) % 0.38/0.58 (define @t84 () (or @t83 @t80)) % 0.38/0.58 (define @t85 () (= @t75 @t84)) % 0.38/0.58 (define @t86 () (not @t84)) % 0.38/0.58 (define @t87 () (@list @t84)) % 0.38/0.58 (define @t88 () (tptp.subq @t43 @t31)) % 0.38/0.58 (define @t89 () (forall @t10 (= @t8 @t22))) % 0.38/0.58 (define @t90 () (= @t88 @t83)) % 0.38/0.58 (define @t91 () (= @t83 @t88)) % 0.38/0.58 (define @t92 () (not @t88)) % 0.38/0.58 (define @t93 () (forall @t6 (or (not (tptp.mem @t2 @t43)) (tptp.mem @t2 @t31)))) % 0.38/0.58 (define @t94 () (= @t88 @t93)) % 0.38/0.58 (define @t95 () (not @t93)) % 0.38/0.58 (define @t96 () (@quantifiers_skolemize @t93 0)) % 0.38/0.58 (define @t97 () (tptp.mem @t96 @t43)) % 0.38/0.58 (define @t98 () (tptp.mem @t96 @t31)) % 0.38/0.58 (define @t99 () (not @t97)) % 0.38/0.58 (define @t100 () (or @t99 @t98)) % 0.38/0.58 (define @t101 () (@list @t100)) % 0.38/0.58 (define @t102 () (and @t49 @t97)) % 0.38/0.58 (assume @p1 @t11) % 0.38/0.58 (assume @p2 (forall @t10 (=> @t8 (=> @t13 @t12)))) % 0.38/0.58 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 0.38/0.58 (assume @p4 (forall @t14 (not (tptp.mem @t4 tptp.e)))) % 0.38/0.58 (assume @p5 @t17) % 0.38/0.58 (assume @p6 (forall @t20 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t19 @t18)))) % 0.38/0.58 (assume @p7 (forall @t20 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t19 (not @t18))))) % 0.38/0.58 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t15)))) % 0.38/0.58 (assume @p9 (forall @t14 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 0.38/0.58 (assume @p10 @t23) % 0.38/0.58 (assume @p11 (forall @t14 (= (tptp.atleast2p @t4) (exists @t24 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t21))))))) % 0.38/0.58 (assume @p12 (forall @t14 (= (tptp.atleast3p @t4) (exists @t24 (and @t13 (tptp.atleast2p @t1) @t25))))) % 0.38/0.58 (assume @p13 (forall @t14 (= (tptp.atleast4p @t4) (exists @t24 (and @t13 (tptp.atleast3p @t1) @t25))))) % 0.38/0.58 (assume @p14 (forall @t14 (= (tptp.atleast5p @t4) (exists @t24 (and @t13 (tptp.atleast4p @t1) @t25))))) % 0.38/0.58 (assume @p15 (forall @t14 (= (tptp.atleast6p @t4) (exists @t24 (and @t13 (tptp.atleast5p @t1) @t25))))) % 0.38/0.58 (assume @p16 (forall @t14 (= (tptp.atleast7p @t4) (exists @t24 (and @t13 (tptp.atleast6p @t1) @t25))))) % 0.38/0.58 (assume @p17 (forall @t14 (= (tptp.atleast8p @t4) (exists @t24 (and @t13 (tptp.atleast7p @t1) @t25))))) % 0.38/0.58 (assume @p18 (forall @t14 (= (tptp.atleast9p @t4) (exists @t24 (and @t13 (tptp.atleast8p @t1) @t25))))) % 0.38/0.58 (assume @p19 (forall @t14 (= (tptp.atleast10p @t4) (exists @t24 (and @t13 (tptp.atleast9p @t1) @t25))))) % 0.38/0.58 (assume @p20 (forall @t14 (= (tptp.atleast11p @t4) (exists @t24 (and @t13 (tptp.atleast10p @t1) @t25))))) % 0.38/0.58 (assume @p21 (forall @t14 (= (tptp.atleast12p @t4) (exists @t24 (and @t13 (tptp.atleast11p @t1) @t25))))) % 0.38/0.58 (assume @p22 (forall @t14 (= (tptp.atleast13p @t4) (exists @t24 (and @t13 (tptp.atleast12p @t1) @t25))))) % 0.38/0.58 (assume @p23 (forall @t14 (= (tptp.atleast14p @t4) (exists @t24 (and @t13 (tptp.atleast13p @t1) @t25))))) % 0.38/0.58 (assume @p24 (forall @t14 (= (tptp.atleast15p @t4) (exists @t24 (and @t13 (tptp.atleast14p @t1) @t25))))) % 0.38/0.58 (assume @p25 (forall @t14 (= (tptp.atleast16p @t4) (exists @t24 (and @t13 (tptp.atleast15p @t1) @t25))))) % 0.38/0.58 (assume @p26 (not @t41)) % 0.38/0.58 (assume @p27 true) % 0.38/0.58 (step @p28 :rule eq-symm :args (@t16 @t12)) % 0.38/0.58 (step @p29 :rule cong :premises (@p28) :args (@t17)) % 0.38/0.58 (step @p30 :rule eq_resolve :premises (@p5 @p29)) % 0.38/0.58 (step @p31 :rule eq-symm :args (@t43 @t31)) % 0.38/0.58 (step @p32 :rule refl :args (@t44)) % 0.38/0.58 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t44 @t45))) % 0.38/0.58 (step @p34 :rule eq-symm :args (@t45 @t44)) % 0.38/0.58 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.58 (step @p36 :rule refl :args (@t46)) % 0.38/0.58 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t46 @t47))) % 0.38/0.58 (assume-push @p157 @t46) % 0.38/0.58 (step @p39 :rule instantiate :premises (@p30) :args (@t48)) % 0.38/0.58 (step-pop @p158 :rule scope :premises (@p39)) % 0.38/0.58 (step @p40 :rule process_scope :premises (@p158) :args (@t47)) % 0.38/0.58 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.38/0.58 (step @p43 :rule implies_elim :premises (@p42)) % 0.38/0.58 (step @p44 :rule chain_m_resolution :premises (@p43 @p30) :args (@t50 @t51 (@list @t46))) % 0.38/0.58 (step @p45 :rule instantiate :premises (@p6) :args ((@list @t43 @t37 @t29))) % 0.38/0.58 (step @p46 :rule instantiate :premises (@p6) :args ((@list @t43 @t34 @t38))) % 0.38/0.58 (step @p47 :rule instantiate :premises (@p6) :args ((@list @t43 @t39 @t28))) % 0.38/0.58 (step @p48 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.58 (step @p49 :rule cong :premises (@p48) :args (@t7)) % 0.38/0.58 (step @p50 :rule refl :args (@t8)) % 0.38/0.58 (step @p51 :rule cong :premises (@p50 @p49) :args (@t9)) % 0.38/0.58 (step @p52 :rule cong :premises (@p51) :args (@t11)) % 0.38/0.58 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.38/0.58 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t40 @t36))) % 0.38/0.58 (step @p55 :rule cnf_equiv_pos2 :args (@t52)) % 0.38/0.58 (step @p56 :rule reordering :premises (@p55) :args ((or @t41 @t53 (not @t52)))) % 0.38/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p26 @p54) :args (@t53 @t54 (@list @t41 @t52))) % 0.38/0.58 (step @p58 :rule skolemize :premises (@p57)) % 0.38/0.58 (step @p59 :rule bool-double-not-elim :args (@t55)) % 0.38/0.58 (step @p60 :rule refl :args (@t58)) % 0.38/0.58 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t58 (not @t57)))) % 0.38/0.58 (step @p62 :rule cnf_or_neg :args (@t58 0)) % 0.38/0.58 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.38/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t55 @t58))) % 0.38/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p58) :args (@t55 @t59 @t60)) % 0.38/0.58 (step @p66 :rule cnf_equiv_pos1 :args (@t64)) % 0.38/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t57 @t63 (not @t64)))) % 0.38/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p47) :args (@t63 @t65 (@list @t55 @t64))) % 0.38/0.58 (step @p69 :rule instantiate :premises (@p6) :args ((@list @t43 @t35 @t28))) % 0.38/0.58 (step @p70 :rule cnf_or_neg :args (@t58 1)) % 0.38/0.58 (step @p71 :rule chain_m_resolution :premises (@p70 @p58) :args ((not @t56) @t59 @t60)) % 0.38/0.58 (step @p72 :rule cnf_equiv_pos2 :args (@t68)) % 0.38/0.58 (step @p73 :rule reordering :premises (@p72) :args ((or @t56 @t69 (not @t68)))) % 0.38/0.58 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p69) :args (@t69 @t54 (@list @t56 @t68))) % 0.38/0.58 (step @p75 :rule cnf_or_neg :args (@t67 1)) % 0.38/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p74) :args ((not @t61) @t59 @t70)) % 0.38/0.58 (step @p77 :rule cnf_or_pos :args (@t63)) % 0.38/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t62 @t61 (not @t63)))) % 0.38/0.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p68) :args (@t62 @t54 (@list @t61 @t63))) % 0.38/0.58 (step @p80 :rule cnf_equiv_pos1 :args (@t74)) % 0.38/0.58 (step @p81 :rule reordering :premises (@p80) :args ((or (not @t62) @t73 (not @t74)))) % 0.38/0.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p46) :args (@t73 @t65 (@list @t62 @t74))) % 0.38/0.58 (step @p83 :rule instantiate :premises (@p6) :args ((@list @t43 @t34 @t33))) % 0.38/0.58 (step @p84 :rule cnf_or_neg :args (@t67 0)) % 0.38/0.58 (step @p85 :rule chain_m_resolution :premises (@p84 @p74) :args ((not @t66) @t59 @t70)) % 0.38/0.58 (step @p86 :rule cnf_equiv_pos2 :args (@t77)) % 0.38/0.58 (step @p87 :rule reordering :premises (@p86) :args ((or @t66 @t78 (not @t77)))) % 0.38/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p83) :args (@t78 @t54 (@list @t66 @t77))) % 0.38/0.58 (step @p89 :rule cnf_or_neg :args (@t76 0)) % 0.38/0.58 (step @p90 :rule chain_m_resolution :premises (@p89 @p88) :args ((not @t72) @t59 @t79)) % 0.38/0.58 (step @p91 :rule cnf_or_pos :args (@t73)) % 0.38/0.58 (step @p92 :rule reordering :premises (@p91) :args ((or @t72 @t71 (not @t73)))) % 0.38/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p82) :args (@t71 @t54 (@list @t72 @t73))) % 0.38/0.58 (step @p94 :rule cnf_equiv_pos1 :args (@t82)) % 0.38/0.58 (step @p95 :rule reordering :premises (@p94) :args ((or (not @t71) @t81 (not @t82)))) % 0.38/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p45) :args (@t81 @t65 (@list @t71 @t82))) % 0.38/0.58 (step @p97 :rule instantiate :premises (@p6) :args ((@list @t43 @t32 @t29))) % 0.38/0.58 (step @p98 :rule cnf_or_neg :args (@t76 1)) % 0.38/0.58 (step @p99 :rule chain_m_resolution :premises (@p98 @p88) :args ((not @t75) @t59 @t79)) % 0.38/0.58 (step @p100 :rule cnf_equiv_pos2 :args (@t85)) % 0.38/0.58 (step @p101 :rule reordering :premises (@p100) :args ((or @t75 @t86 (not @t85)))) % 0.38/0.58 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p97) :args (@t86 @t54 (@list @t75 @t85))) % 0.38/0.58 (step @p103 :rule cnf_or_neg :args (@t84 1)) % 0.38/0.58 (step @p104 :rule chain_m_resolution :premises (@p103 @p102) :args ((not @t80) @t59 @t87)) % 0.38/0.58 (step @p105 :rule cnf_or_pos :args (@t81)) % 0.38/0.59 (step @p106 :rule reordering :premises (@p105) :args ((or @t44 @t80 (not @t81)))) % 0.38/0.59 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p96) :args (@t44 @t54 (@list @t80 @t81))) % 0.38/0.59 (step @p108 :rule cnf_equiv_pos1 :args (@t50)) % 0.38/0.59 (step @p109 :rule reordering :premises (@p108) :args ((or (not @t44) @t49 (not @t50)))) % 0.38/0.59 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p44) :args (@t49 @t65 (@list @t44 @t50))) % 0.38/0.59 (step @p111 :rule instantiate :premises (@p53) :args (@t48)) % 0.38/0.59 (step @p112 :rule eq-symm :args (@t22 @t8)) % 0.38/0.59 (step @p113 :rule cong :premises (@p112) :args (@t23)) % 0.38/0.59 (step @p114 :rule eq_resolve :premises (@p10 @p113)) % 0.38/0.59 (step @p115 :rule eq-symm :args (@t88 @t83)) % 0.38/0.59 (step @p116 :rule refl :args (@t89)) % 0.38/0.59 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t89 @t90))) % 0.38/0.59 (assume-push @p159 @t89) % 0.38/0.59 (step @p119 :rule instantiate :premises (@p114) :args (@t48)) % 0.38/0.59 (step-pop @p160 :rule scope :premises (@p119)) % 0.38/0.59 (step @p120 :rule process_scope :premises (@p160) :args (@t90)) % 0.38/0.59 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 0.38/0.59 (step @p123 :rule implies_elim :premises (@p122)) % 0.38/0.59 (step @p124 :rule chain_m_resolution :premises (@p123 @p114) :args (@t91 @t51 (@list @t89))) % 0.38/0.59 (step @p125 :rule cnf_or_neg :args (@t84 0)) % 0.38/0.59 (step @p126 :rule chain_m_resolution :premises (@p125 @p102) :args ((not @t83) @t59 @t87)) % 0.38/0.59 (step @p127 :rule cnf_equiv_pos2 :args (@t91)) % 0.38/0.59 (step @p128 :rule reordering :premises (@p127) :args ((or @t83 @t92 (not @t91)))) % 0.38/0.59 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p124) :args (@t92 @t54 (@list @t83 @t91))) % 0.38/0.59 (step @p130 :rule cnf_equiv_pos2 :args (@t94)) % 0.38/0.59 (step @p131 :rule reordering :premises (@p130) :args ((or @t88 @t95 (not @t94)))) % 0.38/0.59 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p111) :args (@t95 @t54 (@list @t88 @t94))) % 0.38/0.59 (step @p133 :rule skolemize :premises (@p132)) % 0.38/0.59 (step @p134 :rule bool-double-not-elim :args (@t97)) % 0.38/0.59 (step @p135 :rule refl :args (@t100)) % 0.38/0.59 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t100 (not @t99)))) % 0.38/0.59 (step @p137 :rule cnf_or_neg :args (@t100 0)) % 0.38/0.59 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.38/0.59 (step @p139 :rule reordering :premises (@p138) :args ((or @t97 @t100))) % 0.38/0.59 (step @p140 :rule chain_m_resolution :premises (@p139 @p133) :args (@t97 @t59 @t101)) % 0.38/0.59 (step @p141 :rule cnf_or_neg :args (@t100 1)) % 0.38/0.59 (step @p142 :rule chain_m_resolution :premises (@p141 @p133) :args ((not @t98) @t59 @t101)) % 0.38/0.59 (assume-push @p161 @t49) % 0.38/0.59 (assume-push @p162 @t97) % 0.38/0.59 (step @p145 :rule true_intro :premises (@p140)) % 0.38/0.59 (step @p146 :rule refl :args (@t96)) % 0.38/0.59 (step @p147 :rule cong :premises (@p146 @p110) :args (@t98)) % 0.38/0.59 (step @p148 :rule trans :premises (@p147 @p145)) % 0.38/0.59 (step @p149 :rule true_elim :premises (@p148)) % 0.38/0.59 (step-pop @p163 :rule scope :premises (@p149)) % 0.38/0.59 (step-pop @p164 :rule scope :premises (@p163)) % 0.38/0.59 (step @p150 :rule process_scope :premises (@p164) :args (@t98)) % 0.38/0.59 (step @p153 :rule implies_elim :premises (@p150)) % 0.38/0.59 (step @p154 :rule cnf_and_neg :args (@t102)) % 0.38/0.59 (step @p155 :rule resolution :premises (@p154 @p153) :args (true @t102)) % 0.38/0.59 (step @p156 false :rule chain_m_resolution :premises (@p155 @p142 @p140 @p110) :args (false (@list true false false) (@list @t98 @t97 @t49))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------