%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR150^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:13:08 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR150^1 : TPTP v9.2.1. Released v4.1.0. % 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 : n021.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 : Mon Jun 1 22:00:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.39/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.grandchild_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.ltet_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.lCardinalityFn_THFTYPE_IIioIiI (-> (-> $$unsorted Bool) $$unsorted)) % 0.39/0.57 (declare-const tptp.lJohn_THFTYPE_i $$unsorted) % 0.39/0.57 (declare-const tptp.n3_THFTYPE_i $$unsorted) % 0.39/0.57 (declare-const tptp.grandparent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "Z" $$unsorted)) % 0.39/0.57 (define @t3 () (_ tptp.parent_THFTYPE_IiioI @t2)) % 0.39/0.57 (define @t4 () (_ @t3 @t1)) % 0.39/0.57 (define @t5 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t6 () (_ (_ tptp.parent_THFTYPE_IiioI @t5) @t2)) % 0.39/0.57 (define @t7 () (and @t6 @t4)) % 0.39/0.57 (define @t8 () (@list @t2)) % 0.39/0.57 (define @t9 () (exists @t8 @t7)) % 0.39/0.57 (define @t10 () (_ (_ tptp.grandparent_THFTYPE_IiioI @t5) @t1)) % 0.39/0.57 (define @t11 () (= @t10 @t9)) % 0.39/0.57 (define @t12 () (@list @t5 @t1)) % 0.39/0.57 (define @t13 () (forall @t12 @t11)) % 0.39/0.57 (define @t14 () (_ (_ tptp.grandparent_THFTYPE_IiioI tptp.lJohn_THFTYPE_i) @t5)) % 0.39/0.57 (define @t15 () (@list @t5)) % 0.39/0.57 (define @t16 () (lambda @t15 @t14)) % 0.39/0.57 (define @t17 () (_ (_ tptp.parent_THFTYPE_IiioI @t1) @t2)) % 0.39/0.57 (define @t18 () (_ @t3 @t5)) % 0.39/0.57 (define @t19 () (and @t18 @t17)) % 0.39/0.57 (define @t20 () (exists @t8 @t19)) % 0.39/0.57 (define @t21 () (_ tptp.grandchild_THFTYPE_IiioI @t5)) % 0.39/0.57 (define @t22 () (_ @t21 @t1)) % 0.39/0.57 (define @t23 () (= @t22 @t20)) % 0.39/0.57 (define @t24 () (forall @t12 @t23)) % 0.39/0.57 (define @t25 () (_ @t21 tptp.lJohn_THFTYPE_i)) % 0.39/0.57 (define @t26 () (lambda @t15 @t25)) % 0.39/0.57 (define @t27 () (_ tptp.lCardinalityFn_THFTYPE_IIioIiI @t26)) % 0.39/0.57 (define @t28 () (_ (_ tptp.ltet_THFTYPE_IiioI @t27) @t1)) % 0.39/0.57 (define @t29 () (@list @t1)) % 0.39/0.57 (define @t30 () (exists @t29 @t28)) % 0.39/0.57 (define @t31 () (not @t30)) % 0.39/0.57 (define @t32 () (tptp.grandparent_THFTYPE_IiioI @t5 @t1)) % 0.39/0.57 (define @t33 () (tptp.parent_THFTYPE_IiioI @t2 @t1)) % 0.39/0.57 (define @t34 () (tptp.parent_THFTYPE_IiioI @t5 @t2)) % 0.39/0.57 (define @t35 () (not (forall @t8 (or (not @t34) (not @t33))))) % 0.39/0.57 (define @t36 () (= @t10 @t35)) % 0.39/0.57 (define @t37 () (not @t4)) % 0.39/0.57 (define @t38 () (not @t6)) % 0.39/0.57 (define @t39 () (or @t38 @t37)) % 0.39/0.57 (define @t40 () (forall @t8 (not @t7))) % 0.39/0.57 (define @t41 () (not @t40)) % 0.39/0.57 (define @t42 () (@const 0 $$unsorted)) % 0.39/0.57 (define @t43 () (not (tptp.parent_THFTYPE_IiioI @t2 @t42))) % 0.39/0.57 (define @t44 () (not (tptp.parent_THFTYPE_IiioI tptp.lJohn_THFTYPE_i @t2))) % 0.39/0.57 (define @t45 () (or @t44 @t43)) % 0.39/0.57 (define @t46 () (forall @t8 @t45)) % 0.39/0.57 (define @t47 () (not @t46)) % 0.39/0.57 (define @t48 () (tptp.grandparent_THFTYPE_IiioI tptp.lJohn_THFTYPE_i @t42)) % 0.39/0.57 (define @t49 () (forall @t12 (= @t35 @t32))) % 0.39/0.57 (define @t50 () (= @t47 @t48)) % 0.39/0.57 (define @t51 () (= @t48 @t47)) % 0.39/0.57 (define @t52 () (@list false)) % 0.39/0.57 (define @t53 () (tptp.grandparent_THFTYPE_IiioI tptp.lJohn_THFTYPE_i @t5)) % 0.39/0.57 (define @t54 () (@purify @t16)) % 0.39/0.57 (define @t55 () (_ @t54 @t5)) % 0.39/0.57 (define @t56 () (= @t14 @t55)) % 0.39/0.57 (define @t57 () (_ @t16 @t5)) % 0.39/0.57 (define @t58 () (= @t55 @t57)) % 0.39/0.57 (define @t59 () (forall @t15 @t58)) % 0.39/0.57 (define @t60 () (@list @t42)) % 0.39/0.57 (define @t61 () (tptp.grandchild_THFTYPE_IiioI @t5 tptp.lJohn_THFTYPE_i)) % 0.39/0.57 (define @t62 () (lambda @t15 @t61)) % 0.39/0.57 (define @t63 () (tptp.lCardinalityFn_THFTYPE_IIioIiI @t62)) % 0.39/0.57 (define @t64 () (tptp.ltet_THFTYPE_IiioI @t63 @t1)) % 0.39/0.57 (define @t65 () (forall @t29 (not @t64))) % 0.39/0.57 (define @t66 () (not @t28)) % 0.39/0.57 (define @t67 () (forall @t29 @t66)) % 0.39/0.57 (define @t68 () (not @t67)) % 0.39/0.57 (define @t69 () (@purify @t62)) % 0.39/0.57 (define @t70 () (tptp.ltet_THFTYPE_IiioI @t63 tptp.n3_THFTYPE_i)) % 0.39/0.57 (define @t71 () (not @t70)) % 0.39/0.57 (define @t72 () (tptp.lCardinalityFn_THFTYPE_IIioIiI @t69)) % 0.39/0.57 (define @t73 () (tptp.ltet_THFTYPE_IiioI @t72 tptp.n3_THFTYPE_i)) % 0.39/0.57 (define @t74 () (not @t73)) % 0.39/0.57 (define @t75 () (_ tptp.lCardinalityFn_THFTYPE_IIioIiI @t54)) % 0.39/0.57 (define @t76 () (tptp.lCardinalityFn_THFTYPE_IIioIiI @t54)) % 0.39/0.57 (define @t77 () (tptp.ltet_THFTYPE_IiioI @t76 tptp.n3_THFTYPE_i)) % 0.39/0.57 (define @t78 () (= @t54 @t69)) % 0.39/0.57 (define @t79 () (not @t78)) % 0.39/0.57 (define @t80 () (not @t77)) % 0.39/0.57 (define @t81 () (_ @t69 @t42)) % 0.39/0.57 (define @t82 () (_ @t54 @t42)) % 0.39/0.57 (define @t83 () (= @t82 @t81)) % 0.39/0.57 (define @t84 () (not @t83)) % 0.39/0.57 (define @t85 () (= @t82 @t48)) % 0.39/0.57 (define @t86 () (not @t85)) % 0.39/0.57 (define @t87 () (not @t82)) % 0.39/0.57 (define @t88 () (_ @t69 @t5)) % 0.39/0.57 (define @t89 () (_ @t62 @t5)) % 0.39/0.57 (define @t90 () (= @t88 @t89)) % 0.39/0.57 (define @t91 () (forall @t15 @t90)) % 0.39/0.57 (define @t92 () (tptp.grandchild_THFTYPE_IiioI @t42 tptp.lJohn_THFTYPE_i)) % 0.39/0.57 (define @t93 () (forall @t15 (= @t61 @t88))) % 0.39/0.57 (define @t94 () (= @t92 @t81)) % 0.39/0.57 (define @t95 () (= @t81 @t92)) % 0.39/0.57 (define @t96 () (not @t95)) % 0.39/0.57 (define @t97 () (not @t92)) % 0.39/0.57 (define @t98 () (not @t51)) % 0.39/0.57 (define @t99 () (not @t48)) % 0.39/0.57 (define @t100 () (tptp.grandchild_THFTYPE_IiioI @t5 @t1)) % 0.39/0.57 (define @t101 () (tptp.parent_THFTYPE_IiioI @t1 @t2)) % 0.39/0.57 (define @t102 () (tptp.parent_THFTYPE_IiioI @t2 @t5)) % 0.39/0.57 (define @t103 () (not (forall @t8 (or (not @t102) (not @t101))))) % 0.39/0.57 (define @t104 () (= @t22 @t103)) % 0.39/0.57 (define @t105 () (not @t17)) % 0.39/0.57 (define @t106 () (not @t18)) % 0.39/0.57 (define @t107 () (or @t106 @t105)) % 0.39/0.57 (define @t108 () (forall @t8 (not @t19))) % 0.39/0.57 (define @t109 () (not @t108)) % 0.39/0.57 (define @t110 () (or @t43 @t44)) % 0.39/0.57 (define @t111 () (forall @t8 @t110)) % 0.39/0.57 (define @t112 () (not @t111)) % 0.39/0.57 (define @t113 () (forall @t12 (= @t103 @t100))) % 0.39/0.57 (define @t114 () (= @t112 @t92)) % 0.39/0.57 (define @t115 () (= @t92 @t112)) % 0.39/0.57 (define @t116 () (not @t115)) % 0.39/0.57 (define @t117 () (@list true false)) % 0.39/0.57 (define @t118 () (@list false false)) % 0.39/0.57 (assume @p1 @t13) % 0.39/0.57 (assume @p2 (_ (_ tptp.ltet_THFTYPE_IiioI (_ tptp.lCardinalityFn_THFTYPE_IIioIiI @t16)) tptp.n3_THFTYPE_i)) % 0.39/0.57 (assume @p3 @t24) % 0.39/0.57 (assume @p4 @t31) % 0.39/0.57 (assume @p5 true) % 0.39/0.57 (step @p6 :rule eq-symm :args (@t32 @t35)) % 0.39/0.57 (step @p7 :rule cong :premises (@p6) :args ((forall @t12 (= @t32 @t35)))) % 0.39/0.57 (step @p8 :rule refl :args (@t35)) % 0.39/0.57 (step @p9 :rule refl :args (@t32)) % 0.39/0.57 (step @p10 :rule refl :args (@t10)) % 0.39/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t10 @t32))) % 0.39/0.57 (step @p12 :rule symm :premises (@p11)) % 0.39/0.57 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.39/0.57 (step @p14 :rule cong :premises (@p13 @p8) :args (@t36)) % 0.39/0.57 (step @p15 :rule cong :premises (@p14) :args ((forall @t12 @t36))) % 0.39/0.57 (step @p16 :rule trans :premises (@p15 @p7)) % 0.39/0.57 (step @p17 :rule refl :args (@t33)) % 0.39/0.57 (step @p18 :rule refl :args (@t4)) % 0.39/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t4 @t33))) % 0.39/0.57 (step @p20 :rule symm :premises (@p19)) % 0.39/0.57 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.39/0.57 (step @p22 :rule cong :premises (@p21) :args (@t37)) % 0.39/0.57 (step @p23 :rule refl :args (@t34)) % 0.39/0.57 (step @p24 :rule refl :args (@t6)) % 0.39/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t6 @t34))) % 0.39/0.57 (step @p26 :rule symm :premises (@p25)) % 0.39/0.57 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27) :args (@t38)) % 0.39/0.57 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t39)) % 0.39/0.57 (step @p30 :rule cong :premises (@p29) :args ((forall @t8 @t39))) % 0.39/0.57 (step @p31 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.39/0.57 (step @p32 :rule cong :premises (@p31) :args (@t40)) % 0.39/0.57 (step @p33 :rule trans :premises (@p32 @p30)) % 0.39/0.57 (step @p34 :rule cong :premises (@p33) :args (@t41)) % 0.39/0.57 (step @p35 :rule exists-elim :args ((= @t9 @t41))) % 0.39/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.57 (step @p37 :rule refl :args (@t10)) % 0.39/0.57 (step @p38 :rule cong :premises (@p37 @p36) :args (@t11)) % 0.39/0.57 (step @p39 :rule cong :premises (@p38) :args (@t13)) % 0.39/0.57 (step @p40 :rule trans :premises (@p39 @p16)) % 0.39/0.57 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 0.39/0.57 (step @p42 :rule eq-symm :args (@t47 @t48)) % 0.39/0.57 (step @p43 :rule refl :args (@t49)) % 0.39/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t49 @t50))) % 0.39/0.57 (assume-push @p313 @t49) % 0.39/0.57 (step @p46 :rule instantiate :premises (@p41) :args ((@list tptp.lJohn_THFTYPE_i @t42))) % 0.39/0.57 (step-pop @p314 :rule scope :premises (@p46)) % 0.39/0.57 (step @p47 :rule process_scope :premises (@p314) :args (@t50)) % 0.39/0.57 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.39/0.57 (step @p50 :rule implies_elim :premises (@p49)) % 0.39/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p41) :args (@t51 @t52 (@list @t49))) % 0.39/0.57 (step @p52 :rule eq-symm :args (@t53 @t55)) % 0.39/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t15 (= @t53 @t55)))) % 0.39/0.57 (step @p54 :rule refl :args (@t55)) % 0.39/0.57 (step @p55 :rule refl :args (@t53)) % 0.39/0.57 (step @p56 :rule refl :args (@t14)) % 0.39/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t14 @t53))) % 0.39/0.57 (step @p58 :rule symm :premises (@p57)) % 0.39/0.57 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.39/0.57 (step @p60 :rule cong :premises (@p59 @p54) :args (@t56)) % 0.39/0.57 (step @p61 :rule cong :premises (@p60) :args ((forall @t15 @t56))) % 0.39/0.57 (step @p62 :rule trans :premises (@p61 @p53)) % 0.39/0.57 (step @p63 :rule eq-symm :args (@t55 @t14)) % 0.39/0.57 (step @p64 :rule beta-reduce :args ((= @t57 @t14))) % 0.39/0.57 (step @p65 :rule refl :args (@t55)) % 0.39/0.57 (step @p66 :rule cong :premises (@p65 @p64) :args (@t58)) % 0.39/0.57 (step @p67 :rule trans :premises (@p66 @p63)) % 0.39/0.57 (step @p68 :rule cong :premises (@p67) :args (@t59)) % 0.39/0.57 (step @p69 :rule trans :premises (@p68 @p62)) % 0.39/0.57 (step @p70 :rule quant-unused-vars :args ((= (forall @t15 true) true))) % 0.39/0.57 (step @p71 :rule eq-refl :args (@t57)) % 0.39/0.57 (step @p72 :rule cong :premises (@p71) :args ((forall @t15 (= @t57 @t57)))) % 0.39/0.57 (step @p73 :rule trans :premises (@p72 @p70)) % 0.39/0.57 (step @p74 :rule refl :args (@t57)) % 0.39/0.57 (step @p75 :rule refl :args (@t5)) % 0.39/0.57 (step @p76 :rule skolem_intro :args (@t54)) % 0.39/0.57 (step @p77 :rule ho_cong :premises (@p76 @p75)) % 0.39/0.57 (step @p78 :rule cong :premises (@p77 @p74) :args (@t58)) % 0.39/0.57 (step @p79 :rule cong :premises (@p78) :args (@t59)) % 0.39/0.57 (step @p80 :rule trans :premises (@p79 @p73)) % 0.39/0.57 (step @p81 :rule true_elim :premises (@p80)) % 0.39/0.57 (step @p82 :rule eq_resolve :premises (@p81 @p69)) % 0.39/0.57 (step @p83 :rule instantiate :premises (@p82) :args (@t60)) % 0.39/0.57 (step @p84 :rule bool-double-not-elim :args (@t65)) % 0.39/0.57 (step @p85 :rule refl :args ((tptp.ltet_THFTYPE_IiioI @t27 @t1))) % 0.39/0.57 (step @p86 :rule refl :args (@t1)) % 0.39/0.57 (step @p87 :rule refl :args ((tptp.lCardinalityFn_THFTYPE_IIioIiI @t26))) % 0.39/0.57 (step @p88 :rule refl :args (@t61)) % 0.39/0.57 (step @p89 :rule cong :premises (@p88) :args (@t62)) % 0.39/0.57 (step @p90 :rule cong :premises (@p89) :args (@t63)) % 0.39/0.57 (step @p91 :rule trans :premises (@p90 @p87)) % 0.39/0.57 (step @p92 :rule cong :premises (@p91 @p86) :args (@t64)) % 0.39/0.57 (step @p93 :rule trans :premises (@p92 @p85)) % 0.39/0.57 (step @p94 :rule refl :args (tptp.ltet_THFTYPE_IiioI)) % 0.39/0.57 (step @p95 :rule ho_cong :premises (@p94 @p91)) % 0.39/0.57 (step @p96 :rule ho_cong :premises (@p95 @p86)) % 0.39/0.57 (step @p97 :rule cong :premises (@p96 @p93) :args ((= (_ (_ tptp.ltet_THFTYPE_IiioI @t63) @t1) @t64))) % 0.39/0.57 (step @p98 :rule symm :premises (@p97)) % 0.39/0.57 (step @p99 :rule refl :args (@t28)) % 0.39/0.57 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.39/0.57 (step @p101 :rule refl :args (tptp.lCardinalityFn_THFTYPE_IIioIiI)) % 0.39/0.57 (step @p102 :rule ho_cong :premises (@p101 @p89)) % 0.39/0.57 (step @p103 :rule cong :premises (@p102 @p91) :args ((= (_ tptp.lCardinalityFn_THFTYPE_IIioIiI @t62) @t63))) % 0.39/0.57 (step @p104 :rule symm :premises (@p103)) % 0.39/0.57 (step @p105 :rule refl :args (@t27)) % 0.39/0.57 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.39/0.57 (step @p107 :rule refl :args (@t25)) % 0.39/0.57 (step @p108 :rule cong :premises (@p107 @p88) :args ((= @t25 @t61))) % 0.39/0.57 (step @p109 :rule symm :premises (@p108)) % 0.39/0.57 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 0.39/0.57 (step @p111 :rule cong :premises (@p110) :args (@t26)) % 0.39/0.57 (step @p112 :rule ho_cong :premises (@p101 @p111)) % 0.39/0.57 (step @p113 :rule trans :premises (@p112 @p106)) % 0.39/0.57 (step @p114 :rule ho_cong :premises (@p94 @p113)) % 0.39/0.57 (step @p115 :rule ho_cong :premises (@p114 @p86)) % 0.39/0.57 (step @p116 :rule trans :premises (@p115 @p100)) % 0.39/0.57 (step @p117 :rule cong :premises (@p116) :args (@t66)) % 0.39/0.57 (step @p118 :rule cong :premises (@p117) :args (@t67)) % 0.39/0.57 (step @p119 :rule cong :premises (@p118) :args (@t68)) % 0.39/0.57 (step @p120 :rule exists-elim :args ((= @t30 @t68))) % 0.39/0.57 (step @p121 :rule trans :premises (@p120 @p119)) % 0.39/0.57 (step @p122 :rule cong :premises (@p121) :args (@t31)) % 0.39/0.57 (step @p123 :rule trans :premises (@p122 @p84)) % 0.39/0.57 (step @p124 :rule eq_resolve :premises (@p4 @p123)) % 0.39/0.57 (step @p125 :rule refl :args (tptp.n3_THFTYPE_i)) % 0.39/0.57 (step @p126 :rule eq-refl :args (@t62)) % 0.39/0.57 (step @p127 :rule skolem_intro :args (@t69)) % 0.39/0.57 (step @p128 :rule refl :args (@t62)) % 0.39/0.57 (step @p129 :rule cong :premises (@p128 @p127) :args ((= @t62 @t69))) % 0.39/0.57 (step @p130 :rule trans :premises (@p129 @p126)) % 0.39/0.57 (step @p131 :rule true_elim :premises (@p130)) % 0.39/0.57 (step @p132 :rule cong :premises (@p131) :args (@t63)) % 0.39/0.57 (step @p133 :rule cong :premises (@p132 @p125) :args (@t70)) % 0.39/0.57 (step @p134 :rule cong :premises (@p133) :args (@t71)) % 0.39/0.57 (step @p135 :rule refl :args (@t65)) % 0.39/0.57 (step @p136 :rule cong :premises (@p135 @p134) :args ((=> @t65 @t71))) % 0.39/0.57 (assume-push @p315 @t65) % 0.39/0.57 (step @p138 :rule instantiate :premises (@p124) :args ((@list tptp.n3_THFTYPE_i))) % 0.39/0.57 (step-pop @p316 :rule scope :premises (@p138)) % 0.39/0.57 (step @p139 :rule process_scope :premises (@p316) :args (@t71)) % 0.39/0.57 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 0.39/0.57 (step @p142 :rule implies_elim :premises (@p141)) % 0.39/0.57 (step @p143 :rule chain_m_resolution :premises (@p142 @p124) :args (@t74 @t52 (@list @t65))) % 0.39/0.57 (step @p144 :rule refl :args ((tptp.ltet_THFTYPE_IiioI @t75 tptp.n3_THFTYPE_i))) % 0.39/0.57 (step @p145 :rule refl :args (tptp.n3_THFTYPE_i)) % 0.39/0.57 (step @p146 :rule refl :args (@t76)) % 0.39/0.57 (step @p147 :rule cong :premises (@p146 @p145) :args (@t77)) % 0.39/0.57 (step @p148 :rule trans :premises (@p147 @p144)) % 0.39/0.57 (step @p149 :rule 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0.39/0.57 (step @p164 :rule refl :args (tptp.lCardinalityFn_THFTYPE_IIioIiI)) % 0.39/0.57 (step @p165 :rule ho_cong :premises (@p164 @p163)) % 0.39/0.57 (step @p166 :rule trans :premises (@p165 @p158)) % 0.39/0.57 (step @p167 :rule refl :args (tptp.ltet_THFTYPE_IiioI)) % 0.39/0.57 (step @p168 :rule ho_cong :premises (@p167 @p166)) % 0.39/0.57 (step @p169 :rule ho_cong :premises (@p168 @p125)) % 0.39/0.57 (step @p170 :rule trans :premises (@p169 @p154)) % 0.39/0.57 (step @p171 :rule eq_resolve :premises (@p2 @p170)) % 0.39/0.57 (step @p172 :rule bool-double-not-elim :args (@t73)) % 0.39/0.57 (step @p173 :rule refl :args (@t79)) % 0.39/0.57 (step @p174 :rule refl :args (@t80)) % 0.39/0.57 (step @p175 :rule nary_cong :premises (@p174 @p173 @p172) :args ((or @t80 @t79 (not @t74)))) % 0.39/0.57 (assume-push @p317 @t77) % 0.39/0.57 (assume-push @p318 @t78) % 0.39/0.57 (assume-push @p319 @t74) % 0.39/0.57 (step @p179 :rule evaluate :args ((= false true))) % 0.39/0.57 (step @p180 :rule 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WARNING: add trust step for TRUST % 0.39/0.57 ; trust TRUST THEORY_LEMMA % 0.39/0.57 (step @p195 :rule trust :premises () :args ((or @t78 @t84))) % 0.39/0.57 (step @p196 :rule chain_m_resolution :premises (@p195 @p194) :args (@t84 (@list true) (@list @t78))) % 0.39/0.57 (step @p197 :rule cnf_equiv_neg2 :args (@t83)) % 0.39/0.57 (step @p198 :rule cnf_equiv_pos1 :args (@t85)) % 0.39/0.57 (step @p199 :rule reordering :premises (@p198) :args ((or @t87 @t48 @t86))) % 0.39/0.57 (step @p200 :rule eq-symm :args (@t88 @t61)) % 0.39/0.57 (step @p201 :rule beta-reduce :args ((= @t89 @t61))) % 0.39/0.57 (step @p202 :rule refl :args (@t88)) % 0.39/0.57 (step @p203 :rule cong :premises (@p202 @p201) :args (@t90)) % 0.39/0.57 (step @p204 :rule trans :premises (@p203 @p200)) % 0.39/0.57 (step @p205 :rule cong :premises (@p204) :args (@t91)) % 0.39/0.57 (step @p206 :rule eq-refl :args (@t89)) % 0.39/0.57 (step @p207 :rule cong :premises (@p206) :args ((forall @t15 (= @t89 @t89)))) % 0.39/0.57 (step 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@p232) :args (@t104)) % 0.39/0.57 (step @p239 :rule cong :premises (@p238) :args ((forall @t12 @t104))) % 0.39/0.57 (step @p240 :rule trans :premises (@p239 @p231)) % 0.39/0.57 (step @p241 :rule refl :args (@t101)) % 0.39/0.57 (step @p242 :rule refl :args (@t17)) % 0.39/0.57 (step @p243 :rule cong :premises (@p242 @p241) :args ((= @t17 @t101))) % 0.39/0.57 (step @p244 :rule symm :premises (@p243)) % 0.39/0.57 (step @p245 :rule eq_resolve :premises (@p242 @p244)) % 0.39/0.57 (step @p246 :rule cong :premises (@p245) :args (@t105)) % 0.39/0.57 (step @p247 :rule refl :args (@t102)) % 0.39/0.57 (step @p248 :rule refl :args (@t18)) % 0.39/0.57 (step @p249 :rule cong :premises (@p248 @p247) :args ((= @t18 @t102))) % 0.39/0.57 (step @p250 :rule symm :premises (@p249)) % 0.39/0.57 (step @p251 :rule eq_resolve :premises (@p248 @p250)) % 0.39/0.57 (step @p252 :rule cong :premises (@p251) :args (@t106)) % 0.39/0.57 (step @p253 :rule nary_cong :premises (@p252 @p246) :args (@t107)) % 0.39/0.57 (step @p254 :rule cong :premises (@p253) :args ((forall @t8 @t107))) % 0.39/0.57 (step @p255 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.39/0.57 (step @p256 :rule cong :premises (@p255) :args (@t108)) % 0.39/0.57 (step @p257 :rule trans :premises (@p256 @p254)) % 0.39/0.57 (step @p258 :rule cong :premises (@p257) :args (@t109)) % 0.39/0.57 (step @p259 :rule exists-elim :args ((= @t20 @t109))) % 0.39/0.57 (step @p260 :rule trans :premises (@p259 @p258)) % 0.39/0.57 (step @p261 :rule refl :args (@t22)) % 0.39/0.57 (step @p262 :rule cong :premises (@p261 @p260) :args (@t23)) % 0.39/0.57 (step @p263 :rule cong :premises (@p262) :args (@t24)) % 0.39/0.57 (step @p264 :rule trans :premises (@p263 @p240)) % 0.39/0.57 (step @p265 :rule eq_resolve :premises (@p3 @p264)) % 0.39/0.57 (step @p266 :rule eq-symm :args (@t112 @t92)) % 0.39/0.57 (step @p267 :rule refl :args (@t113)) % 0.39/0.57 (step @p268 :rule cong :premises (@p267 @p266) :args ((=> @t113 @t114))) % 0.39/0.57 (assume-push 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0.39/0.57 (step @p295 :rule refl :args (@t48)) % 0.39/0.57 (step @p296 :rule refl :args (@t98)) % 0.39/0.57 (step @p297 :rule nary_cong :premises (@p296 @p295 @p294) :args ((or @t98 @t48 (not @t47)))) % 0.39/0.57 (step @p298 :rule cnf_equiv_pos2 :args (@t51)) % 0.39/0.57 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 0.39/0.57 (step @p300 :rule reordering :premises (@p299) :args ((or @t48 @t46 @t98))) % 0.39/0.57 (step @p301 :rule chain_m_resolution :premises (@p300 @p293 @p51) :args (@t46 @t117 (@list @t48 @t51))) % 0.39/0.57 (step @p302 :rule cnf_equiv_neg1 :args (@t83)) % 0.39/0.57 (step @p303 :rule reordering :premises (@p302) :args ((or @t82 @t81 @t83))) % 0.39/0.57 (step @p304 :rule chain_m_resolution :premises (@p303 @p290 @p196) :args (@t81 (@list true true) (@list @t82 @t83))) % 0.39/0.57 (step @p305 :rule cnf_equiv_pos1 :args (@t95)) % 0.39/0.57 (step @p306 :rule reordering :premises (@p305) :args ((or (not @t81) @t92 @t96))) % 0.39/0.57 (step @p307 :rule chain_m_resolution :premises (@p306 @p304 @p225) :args (@t92 @t118 (@list @t81 @t95))) % 0.39/0.57 (step @p308 :rule cnf_equiv_pos1 :args (@t115)) % 0.39/0.57 (step @p309 :rule reordering :premises (@p308) :args ((or @t97 @t112 @t116))) % 0.39/0.57 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p275) :args (@t112 @t118 (@list @t92 @t115))) % 0.39/0.57 (step @p311 :rule equiv_elim1 :premises (@p288)) % 0.39/0.57 (step @p312 false :rule chain_m_resolution :premises (@p311 @p310 @p301) :args (false @t117 (@list @t111 @t46))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------