%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU110+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:50:35 AM UTC 2026 % Result : Theorem 2.53s 2.76s % Output : Proof 2.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU110+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:29:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 2.53/2.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.53/2.76 % SZS status Theorem % 2.53/2.76 % SZS output start Proof % 2.53/2.76 ( % 2.53/2.76 (declare-sort $$unsorted 0) % 2.53/2.76 (declare-const tptp.relation (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.function (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.finite (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.cap_closed (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 2.53/2.76 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.natural (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.empty (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.finite_subsets (-> $$unsorted $$unsorted)) % 2.53/2.76 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 2.53/2.76 (declare-const tptp.empty_set $$unsorted) % 2.53/2.76 (define @t1 () (@var "A" $$unsorted)) % 2.53/2.76 (define @t2 () (@var "B" $$unsorted)) % 2.53/2.76 (define @t3 () (tptp.in @t1 @t2)) % 2.53/2.76 (define @t4 () (@list @t1 @t2)) % 2.53/2.76 (define @t5 () (tptp.finite @t1)) % 2.53/2.76 (define @t6 () (tptp.empty @t1)) % 2.53/2.76 (define @t7 () (@list @t1)) % 2.53/2.76 (define @t8 () (tptp.diff_closed @t1)) % 2.53/2.76 (define @t9 () (tptp.cup_closed @t1)) % 2.53/2.76 (define @t10 () (and @t9 @t8)) % 2.53/2.76 (define @t11 () (tptp.preboolean @t1)) % 2.53/2.76 (define @t12 () (tptp.finite @t2)) % 2.53/2.76 (define @t13 () (tptp.powerset @t1)) % 2.53/2.76 (define @t14 () (tptp.element @t2 @t13)) % 2.53/2.76 (define @t15 () (@list @t2)) % 2.53/2.76 (define @t16 () (tptp.finite_subsets @t1)) % 2.53/2.76 (define @t17 () (tptp.element @t2 @t16)) % 2.53/2.76 (define @t18 () (forall @t4 (=> @t17 @t12))) % 2.53/2.76 (define @t19 () (@var "C" $$unsorted)) % 2.53/2.76 (define @t20 () (tptp.in @t19 @t2)) % 2.53/2.76 (define @t21 () (tptp.in @t19 @t1)) % 2.53/2.76 (define @t22 () (@list @t19)) % 2.53/2.76 (define @t23 () (forall @t22 (=> @t21 @t20))) % 2.53/2.76 (define @t24 () (tptp.subset @t1 @t2)) % 2.53/2.76 (define @t25 () (= @t24 @t23)) % 2.53/2.76 (define @t26 () (forall @t4 @t25)) % 2.53/2.76 (define @t27 () (tptp.finite @t19)) % 2.53/2.76 (define @t28 () (= (= @t2 @t16) (forall @t22 (= @t20 (and (tptp.subset @t19 @t1) @t27))))) % 2.53/2.76 (define @t29 () (tptp.preboolean @t2)) % 2.53/2.76 (define @t30 () (forall @t4 (=> @t29 @t28))) % 2.53/2.76 (define @t31 () (tptp.preboolean @t16)) % 2.53/2.76 (define @t32 () (not (tptp.empty @t13))) % 2.53/2.76 (define @t33 () (not @t6)) % 2.53/2.76 (define @t34 () (tptp.empty @t2)) % 2.53/2.76 (define @t35 () (not @t34)) % 2.53/2.76 (define @t36 () (tptp.element @t1 @t2)) % 2.53/2.76 (define @t37 () (forall @t4 (=> @t3 @t36))) % 2.53/2.76 (define @t38 () (tptp.subset @t1 @t19)) % 2.53/2.76 (define @t39 () (tptp.subset @t2 @t19)) % 2.53/2.76 (define @t40 () (and @t24 @t39)) % 2.53/2.76 (define @t41 () (@list @t1 @t2 @t19)) % 2.53/2.76 (define @t42 () (forall @t41 (=> @t40 @t38))) % 2.53/2.76 (define @t43 () (tptp.subset @t16 (tptp.finite_subsets @t2))) % 2.53/2.76 (define @t44 () (forall @t4 (=> @t24 @t43))) % 2.53/2.76 (define @t45 () (not @t44)) % 2.53/2.76 (define @t46 () (tptp.element @t2 (tptp.powerset @t19))) % 2.53/2.76 (define @t47 () (not @t39)) % 2.53/2.76 (define @t48 () (not @t24)) % 2.53/2.76 (define @t49 () (or @t48 @t47 @t38)) % 2.53/2.76 (define @t50 () (forall @t4 (or @t48 @t43))) % 2.53/2.76 (define @t51 () (@quantifiers_skolemize @t50 0)) % 2.53/2.76 (define @t52 () (tptp.finite_subsets @t51)) % 2.53/2.76 (define @t53 () (tptp.in @t19 @t52)) % 2.53/2.76 (define @t54 () (forall @t22 (= @t53 (and (tptp.subset @t19 @t51) @t27)))) % 2.53/2.76 (define @t55 () (= (= @t52 @t52) @t54)) % 2.53/2.76 (define @t56 () (tptp.preboolean @t52)) % 2.53/2.76 (define @t57 () (not @t56)) % 2.53/2.76 (define @t58 () (or @t57 @t55)) % 2.53/2.76 (define @t59 () (forall @t4 (or (not @t29) @t28))) % 2.53/2.76 (define @t60 () (or @t57 @t54)) % 2.53/2.76 (define @t61 () (@list false)) % 2.53/2.76 (define @t62 () (@list @t59)) % 2.53/2.76 (define @t63 () (@list false false)) % 2.53/2.76 (define @t64 () (@quantifiers_skolemize @t50 1)) % 2.53/2.76 (define @t65 () (tptp.finite_subsets @t64)) % 2.53/2.76 (define @t66 () (tptp.in @t19 @t65)) % 2.53/2.76 (define @t67 () (forall @t22 (or (not @t53) @t66))) % 2.53/2.76 (define @t68 () (@quantifiers_skolemize @t67 0)) % 2.53/2.76 (define @t69 () (@list @t68)) % 2.53/2.76 (define @t70 () (tptp.subset @t52 @t65)) % 2.53/2.76 (define @t71 () (tptp.subset @t51 @t64)) % 2.53/2.76 (define @t72 () (not @t71)) % 2.53/2.76 (define @t73 () (or @t72 @t70)) % 2.53/2.76 (define @t74 () (@list true)) % 2.53/2.76 (define @t75 () (@list @t73)) % 2.53/2.76 (define @t76 () (= @t70 @t67)) % 2.53/2.76 (define @t77 () (not @t67)) % 2.53/2.76 (define @t78 () (@list true false)) % 2.53/2.76 (define @t79 () (tptp.in @t68 @t52)) % 2.53/2.76 (define @t80 () (tptp.in @t68 @t65)) % 2.53/2.76 (define @t81 () (not @t79)) % 2.53/2.76 (define @t82 () (or @t81 @t80)) % 2.53/2.76 (define @t83 () (@list @t82)) % 2.53/2.76 (define @t84 () (tptp.finite @t68)) % 2.53/2.76 (define @t85 () (tptp.subset @t68 @t51)) % 2.53/2.76 (define @t86 () (and @t85 @t84)) % 2.53/2.76 (define @t87 () (= @t79 @t86)) % 2.53/2.76 (define @t88 () (forall @t22 (= @t66 (and (tptp.subset @t19 @t64) @t27)))) % 2.53/2.76 (define @t89 () (= (= @t65 @t65) @t88)) % 2.53/2.76 (define @t90 () (tptp.preboolean @t65)) % 2.53/2.76 (define @t91 () (not @t90)) % 2.53/2.76 (define @t92 () (or @t91 @t89)) % 2.53/2.76 (define @t93 () (or @t91 @t88)) % 2.53/2.76 (define @t94 () (tptp.subset @t68 @t64)) % 2.53/2.76 (define @t95 () (and @t94 @t84)) % 2.53/2.76 (define @t96 () (= @t80 @t95)) % 2.53/2.76 (define @t97 () (not @t95)) % 2.53/2.76 (define @t98 () (tptp.element @t68 @t52)) % 2.53/2.76 (define @t99 () (or @t81 @t98)) % 2.53/2.76 (define @t100 () (not @t98)) % 2.53/2.76 (define @t101 () (or @t100 @t84)) % 2.53/2.76 (define @t102 () (not @t94)) % 2.53/2.76 (define @t103 () (not @t85)) % 2.53/2.76 (define @t104 () (or @t103 @t72 @t94)) % 2.53/2.76 (define @t105 () (not @t104)) % 2.53/2.76 (define @t106 () (forall @t41 @t49)) % 2.53/2.76 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 2.53/2.76 (assume @p2 (forall @t7 (=> @t6 @t5))) % 2.53/2.76 (assume @p3 (forall @t7 (=> @t11 @t10))) % 2.53/2.76 (assume @p4 (forall @t7 (=> @t5 (forall @t15 (=> @t14 @t12))))) % 2.53/2.76 (assume @p5 (forall @t7 (=> @t10 @t11))) % 2.53/2.76 (assume @p6 @t18) % 2.53/2.76 (assume @p7 @t26) % 2.53/2.76 (assume @p8 @t30) % 2.53/2.76 (assume @p9 (forall @t7 @t31)) % 2.53/2.76 (assume @p10 (forall @t7 (exists @t15 (tptp.element @t2 @t1)))) % 2.53/2.76 (assume @p11 (forall @t7 (and @t32 (tptp.cup_closed @t13) (tptp.diff_closed @t13) (tptp.preboolean @t13)))) % 2.53/2.76 (assume @p12 (forall @t7 @t32)) % 2.53/2.76 (assume @p13 (tptp.empty tptp.empty_set)) % 2.53/2.76 (assume @p14 (forall @t7 (and (not (tptp.empty @t16)) (tptp.cup_closed @t16) (tptp.diff_closed @t16) @t31))) % 2.53/2.76 (assume @p15 (exists @t7 (and @t33 @t5))) % 2.53/2.76 (assume @p16 (exists @t7 (and @t33 @t9 (tptp.cap_closed @t1) @t8 @t11))) % 2.53/2.76 (assume @p17 (forall @t7 (=> @t33 (exists @t15 (and @t14 @t35))))) % 2.53/2.76 (assume @p18 (exists @t7 @t6)) % 2.53/2.76 (assume @p19 (forall @t7 (exists @t15 (and @t14 @t34 (tptp.relation @t2) (tptp.function @t2) (tptp.one_to_one @t2) (tptp.epsilon_transitive @t2) (tptp.epsilon_connected @t2) (tptp.ordinal @t2) (tptp.natural @t2) @t12)))) % 2.53/2.76 (assume @p20 (forall @t7 (exists @t15 (and @t14 @t34)))) % 2.53/2.76 (assume @p21 (exists @t7 @t33)) % 2.53/2.76 (assume @p22 (forall @t7 (=> @t33 (exists @t15 (and @t14 @t35 @t12))))) % 2.53/2.76 (assume @p23 (forall @t4 (tptp.subset @t1 @t1))) % 2.53/2.76 (assume @p24 @t37) % 2.53/2.76 (assume @p25 @t42) % 2.53/2.76 (assume @p26 @t45) % 2.53/2.76 (assume @p27 (forall @t4 (=> @t36 (or @t34 @t3)))) % 2.53/2.76 (assume @p28 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t24))) % 2.53/2.76 (assume @p29 (forall @t41 (=> (and @t3 @t46) (tptp.element @t1 @t19)))) % 2.53/2.76 (assume @p30 (forall @t41 (not (and @t3 @t46 (tptp.empty @t19))))) % 2.53/2.76 (assume @p31 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 2.53/2.76 (assume @p32 (forall @t4 (not (and @t3 @t34)))) % 2.53/2.76 (assume @p33 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t34)))) % 2.53/2.76 (assume @p34 true) % 2.53/2.76 (step @p35 :rule aci_norm :args ((= (or (or @t48 @t47) @t38) @t49))) % 2.53/2.76 (step @p36 :rule refl :args (@t38)) % 2.53/2.76 (step @p37 :rule bool-and-de-morgan :args (@t24 @t39 true)) % 2.53/2.76 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t40) @t38))) % 2.53/2.76 (step @p39 :rule trans :premises (@p38 @p35)) % 2.53/2.76 (step @p40 :rule bool-impl-elim :args (@t40 @t38)) % 2.53/2.76 (step @p41 :rule trans :premises (@p40 @p39)) % 2.53/2.76 (step @p42 :rule cong :premises (@p41) :args (@t42)) % 2.53/2.76 (step @p43 :rule eq_resolve :premises (@p25 @p42)) % 2.53/2.76 (step @p44 :rule bool-impl-elim :args (@t29 @t28)) % 2.53/2.76 (step @p45 :rule cong :premises (@p44) :args (@t30)) % 2.53/2.76 (step @p46 :rule eq_resolve :premises (@p8 @p45)) % 2.53/2.76 (step @p47 :rule bool-eq-true :args (@t54)) % 2.53/2.76 (step @p48 :rule eq-symm :args (true @t54)) % 2.53/2.76 (step @p49 :rule trans :premises (@p48 @p47)) % 2.53/2.76 (step @p50 :rule refl :args (@t54)) % 2.53/2.76 (step @p51 :rule eq-refl :args (@t52)) % 2.53/2.76 (step @p52 :rule cong :premises (@p51 @p50) :args (@t55)) % 2.53/2.76 (step @p53 :rule trans :premises (@p52 @p49)) % 2.53/2.76 (step @p54 :rule refl :args (@t57)) % 2.53/2.76 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t58)) % 2.53/2.76 (step @p56 :rule refl :args (@t59)) % 2.53/2.76 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t59 @t58))) % 2.53/2.76 (assume-push @p161 @t59) % 2.53/2.76 (step @p59 :rule instantiate :premises (@p46) :args ((@list @t51 @t52))) % 2.53/2.76 (step-pop @p162 :rule scope :premises (@p59)) % 2.53/2.76 (step @p60 :rule process_scope :premises (@p162) :args (@t58)) % 2.53/2.76 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 2.53/2.76 (step @p63 :rule implies_elim :premises (@p62)) % 2.53/2.76 (step @p64 :rule chain_m_resolution :premises (@p63 @p46) :args (@t60 @t61 @t62)) % 2.53/2.76 (step @p65 :rule instantiate :premises (@p9) :args ((@list @t51))) % 2.53/2.76 (step @p66 :rule cnf_or_pos :args (@t60)) % 2.53/2.76 (step @p67 :rule reordering :premises (@p66) :args ((or @t57 @t54 (not @t60)))) % 2.53/2.76 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p64) :args (@t54 @t63 (@list @t56 @t60))) % 2.53/2.76 (step @p69 :rule instantiate :premises (@p68) :args (@t69)) % 2.53/2.76 (step @p70 :rule bool-impl-elim :args (@t21 @t20)) % 2.53/2.76 (step @p71 :rule cong :premises (@p70) :args (@t23)) % 2.53/2.76 (step @p72 :rule refl :args (@t24)) % 2.53/2.76 (step @p73 :rule cong :premises (@p72 @p71) :args (@t25)) % 2.53/2.76 (step @p74 :rule cong :premises (@p73) :args (@t26)) % 2.53/2.76 (step @p75 :rule eq_resolve :premises (@p7 @p74)) % 2.53/2.76 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t52 @t65))) % 2.53/2.76 (step @p77 :rule bool-impl-elim :args (@t24 @t43)) % 2.53/2.76 (step @p78 :rule cong :premises (@p77) :args (@t44)) % 2.53/2.76 (step @p79 :rule cong :premises (@p78) :args (@t45)) % 2.53/2.76 (step @p80 :rule eq_resolve :premises (@p26 @p79)) % 2.53/2.76 (step @p81 :rule skolemize :premises (@p80)) % 2.53/2.76 (step @p82 :rule cnf_or_neg :args (@t73 1)) % 2.53/2.76 (step @p83 :rule chain_m_resolution :premises (@p82 @p81) :args ((not @t70) @t74 @t75)) % 2.53/2.76 (step @p84 :rule cnf_equiv_pos2 :args (@t76)) % 2.53/2.76 (step @p85 :rule reordering :premises (@p84) :args ((or @t70 @t77 (not @t76)))) % 2.53/2.76 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p76) :args (@t77 @t78 (@list @t70 @t76))) % 2.53/2.76 (step @p87 :rule skolemize :premises (@p86)) % 2.53/2.76 (step @p88 :rule bool-double-not-elim :args (@t79)) % 2.53/2.76 (step @p89 :rule refl :args (@t82)) % 2.53/2.76 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t82 (not @t81)))) % 2.53/2.76 (step @p91 :rule cnf_or_neg :args (@t82 0)) % 2.53/2.76 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 2.53/2.76 (step @p93 :rule reordering :premises (@p92) :args ((or @t79 @t82))) % 2.53/2.76 (step @p94 :rule chain_m_resolution :premises (@p93 @p87) :args (@t79 @t74 @t83)) % 2.53/2.76 (step @p95 :rule cnf_equiv_pos1 :args (@t87)) % 2.53/2.76 (step @p96 :rule reordering :premises (@p95) :args ((or @t81 @t86 (not @t87)))) % 2.53/2.76 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p69) :args (@t86 @t63 (@list @t79 @t87))) % 2.53/2.76 (step @p98 :rule cnf_and_pos :args (@t86 0)) % 2.53/2.76 (step @p99 :rule reordering :premises (@p98) :args ((or @t85 (not @t86)))) % 2.53/2.76 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t85 @t61 (@list @t86))) % 2.53/2.76 (step @p101 :rule bool-eq-true :args (@t88)) % 2.53/2.76 (step @p102 :rule eq-symm :args (true @t88)) % 2.53/2.76 (step @p103 :rule trans :premises (@p102 @p101)) % 2.53/2.76 (step @p104 :rule refl :args (@t88)) % 2.53/2.76 (step @p105 :rule eq-refl :args (@t65)) % 2.53/2.76 (step @p106 :rule cong :premises (@p105 @p104) :args (@t89)) % 2.53/2.76 (step @p107 :rule trans :premises (@p106 @p103)) % 2.53/2.76 (step @p108 :rule refl :args (@t91)) % 2.53/2.76 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t92)) % 2.53/2.76 (step @p110 :rule cong :premises (@p56 @p109) :args ((=> @t59 @t92))) % 2.53/2.76 (assume-push @p163 @t59) % 2.53/2.76 (step @p112 :rule instantiate :premises (@p46) :args ((@list @t64 @t65))) % 2.53/2.76 (step-pop @p164 :rule scope :premises (@p112)) % 2.53/2.76 (step @p113 :rule process_scope :premises (@p164) :args (@t92)) % 2.53/2.76 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 2.53/2.76 (step @p116 :rule implies_elim :premises (@p115)) % 2.53/2.76 (step @p117 :rule chain_m_resolution :premises (@p116 @p46) :args (@t93 @t61 @t62)) % 2.53/2.76 (step @p118 :rule instantiate :premises (@p9) :args ((@list @t64))) % 2.53/2.76 (step @p119 :rule cnf_or_pos :args (@t93)) % 2.53/2.76 (step @p120 :rule reordering :premises (@p119) :args ((or @t91 @t88 (not @t93)))) % 2.53/2.76 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p117) :args (@t88 @t63 (@list @t90 @t93))) % 2.53/2.76 (step @p122 :rule instantiate :premises (@p121) :args (@t69)) % 2.53/2.76 (step @p123 :rule cnf_or_neg :args (@t82 1)) % 2.53/2.76 (step @p124 :rule chain_m_resolution :premises (@p123 @p87) :args ((not @t80) @t74 @t83)) % 2.53/2.76 (step @p125 :rule cnf_equiv_pos2 :args (@t96)) % 2.53/2.76 (step @p126 :rule reordering :premises (@p125) :args ((or @t80 @t97 (not @t96)))) % 2.53/2.77 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p122) :args (@t97 @t78 (@list @t80 @t96))) % 2.53/2.77 (step @p128 :rule bool-impl-elim :args (@t17 @t12)) % 2.53/2.77 (step @p129 :rule cong :premises (@p128) :args (@t18)) % 2.53/2.77 (step @p130 :rule eq_resolve :premises (@p6 @p129)) % 2.53/2.77 (step @p131 :rule instantiate :premises (@p130) :args ((@list @t51 @t68))) % 2.53/2.77 (step @p132 :rule bool-impl-elim :args (@t3 @t36)) % 2.53/2.77 (step @p133 :rule cong :premises (@p132) :args (@t37)) % 2.53/2.77 (step @p134 :rule eq_resolve :premises (@p24 @p133)) % 2.53/2.77 (step @p135 :rule instantiate :premises (@p134) :args ((@list @t68 @t52))) % 2.53/2.77 (step @p136 :rule cnf_or_pos :args (@t99)) % 2.53/2.77 (step @p137 :rule reordering :premises (@p136) :args ((or @t81 @t98 (not @t99)))) % 2.53/2.77 (step @p138 :rule chain_m_resolution :premises (@p137 @p94 @p135) :args (@t98 @t63 (@list @t79 @t99))) % 2.53/2.77 (step @p139 :rule cnf_or_pos :args (@t101)) % 2.53/2.77 (step @p140 :rule reordering :premises (@p139) :args ((or @t100 @t84 (not @t101)))) % 2.53/2.77 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p131) :args (@t84 @t63 (@list @t98 @t101))) % 2.53/2.77 (step @p142 :rule cnf_and_neg :args (@t95)) % 2.53/2.77 (step @p143 :rule reordering :premises (@p142) :args ((or (not @t84) @t95 @t102))) % 2.53/2.77 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p127) :args (@t102 (@list false true) (@list @t84 @t95))) % 2.53/2.77 (step @p145 :rule bool-double-not-elim :args (@t71)) % 2.53/2.77 (step @p146 :rule refl :args (@t73)) % 2.53/2.77 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t73 (not @t72)))) % 2.53/2.77 (step @p148 :rule cnf_or_neg :args (@t73 0)) % 2.53/2.77 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 2.53/2.77 (step @p150 :rule reordering :premises (@p149) :args ((or @t71 @t73))) % 2.53/2.77 (step @p151 :rule chain_m_resolution :premises (@p150 @p81) :args (@t71 @t74 @t75)) % 2.53/2.77 (step @p152 :rule cnf_or_pos :args (@t104)) % 2.53/2.77 (step @p153 :rule reordering :premises (@p152) :args ((or @t72 @t94 @t103 @t105))) % 2.53/2.77 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p144 @p100) :args (@t105 (@list false true false) (@list @t71 @t94 @t85))) % 2.53/2.77 (assume-push @p165 @t106) % 2.53/2.77 (step @p156 :rule instantiate :premises (@p43) :args ((@list @t68 @t51 @t64))) % 2.53/2.77 (step-pop @p166 :rule scope :premises (@p156)) % 2.53/2.77 (step @p157 :rule process_scope :premises (@p166) :args (@t104)) % 2.53/2.77 (step @p159 :rule implies_elim :premises (@p157)) % 2.53/2.77 (step @p160 false :rule chain_m_resolution :premises (@p159 @p154 @p43) :args (false @t78 (@list @t104 @t106))) % 2.53/2.77 ) % 2.53/2.77 % SZS output end Proof % 2.53/2.77 % cvc5 exiting %------------------------------------------------------------------------------