%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO169^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 09:12:09 AM UTC 2026 % Result : Theorem 150.51s 150.76s % Output : Proof 150.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO169^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.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 23:59:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 150.51/150.76 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.51/150.76 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.51/150.76 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.51/150.76 --- Run --ho-elim --full-saturate-quant at 18s... % 150.51/150.76 % SZS status Theorem % 150.51/150.76 % SZS output start Proof % 150.51/150.76 ( % 150.51/150.76 (declare-sort $$unsorted 0) % 150.51/150.76 (declare-const tptp.e $$unsorted) % 150.51/150.76 (declare-const tptp.cPx (-> $$unsorted $$unsorted Bool)) % 150.51/150.76 (declare-const tptp.cP (-> $$unsorted $$unsorted $$unsorted Bool)) % 150.51/150.76 (declare-const tptp.b $$unsorted) % 150.51/150.76 (declare-const tptp.a $$unsorted) % 150.51/150.76 (declare-const tptp.ab $$unsorted) % 150.51/150.76 (define @t1 () (=> (_ (_ (_ tptp.cP tptp.a) tptp.b) tptp.ab) (_ (_ (_ tptp.cP tptp.b) tptp.a) tptp.ab))) % 150.51/150.76 (define @t2 () (@var "Xxyz" $$unsorted)) % 150.51/150.76 (define @t3 () (@var "Xyz" $$unsorted)) % 150.51/150.76 (define @t4 () (_ (_ tptp.cPx @t3) @t2)) % 150.51/150.76 (define @t5 () (@var "Xz" $$unsorted)) % 150.51/150.76 (define @t6 () (@var "Xxy" $$unsorted)) % 150.51/150.76 (define @t7 () (_ (_ (_ tptp.cP @t6) @t5) @t2)) % 150.51/150.76 (define @t8 () (= @t7 @t4)) % 150.51/150.76 (define @t9 () (@var "Xy" $$unsorted)) % 150.51/150.76 (define @t10 () (_ tptp.cP @t9)) % 150.51/150.76 (define @t11 () (_ (_ @t10 @t5) @t3)) % 150.51/150.76 (define @t12 () (@var "Xx" $$unsorted)) % 150.51/150.76 (define @t13 () (_ (_ (_ tptp.cP @t12) @t9) @t6)) % 150.51/150.76 (define @t14 () (and @t13 @t11)) % 150.51/150.76 (define @t15 () (@list @t12 @t9 @t5 @t6 @t3 @t2)) % 150.51/150.76 (define @t16 () (forall @t15 (=> @t14 @t8))) % 150.51/150.76 (define @t17 () (_ (_ (_ tptp.cP @t5) @t5) tptp.e)) % 150.51/150.76 (define @t18 () (@list @t5)) % 150.51/150.76 (define @t19 () (forall @t18 @t17)) % 150.51/150.76 (define @t20 () (_ (_ @t10 tptp.e) @t9)) % 150.51/150.76 (define @t21 () (@list @t9)) % 150.51/150.76 (define @t22 () (forall @t21 @t20)) % 150.51/150.76 (define @t23 () (_ (_ (_ tptp.cP tptp.e) @t12) @t12)) % 150.51/150.76 (define @t24 () (@list @t12)) % 150.51/150.76 (define @t25 () (forall @t24 @t23)) % 150.51/150.76 (define @t26 () (and @t25 @t22 @t19 @t16)) % 150.51/150.76 (define @t27 () (=> @t26 @t1)) % 150.51/150.76 (define @t28 () (not @t27)) % 150.51/150.76 (define @t29 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 150.51/150.76 (define @t30 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))) % 150.51/150.76 (define @t31 () (_ @t30 @t29 tptp.b)) % 150.51/150.76 (define @t32 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.51/150.76 (define @t33 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.51/150.76 (define @t34 () (_ @t33 (_ @t32 @t31 tptp.a) tptp.ab)) % 150.51/150.76 (define @t35 () (_ @t30 @t29 tptp.a)) % 150.51/150.76 (define @t36 () (_ @t33 (_ @t32 @t35 tptp.b) tptp.ab)) % 150.51/150.76 (define @t37 () (=> @t36 @t34)) % 150.51/150.76 (define @t38 () (_ @t33 (_ @t32 (_ @t30 @t29 @t6) @t5) @t2)) % 150.51/150.76 (define @t39 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.51/150.76 (define @t40 () (_ @t33 (_ @t32 @t39 @t3) @t2)) % 150.51/150.76 (define @t41 () (_ @t30 @t29 @t9)) % 150.51/150.76 (define @t42 () (not (_ @t33 (_ @t32 @t41 @t5) @t3))) % 150.51/150.76 (define @t43 () (not (_ @t33 (_ @t32 (_ @t30 @t29 @t12) @t9) @t6))) % 150.51/150.76 (define @t44 () (or @t43 @t42 (= @t38 @t40))) % 150.51/150.76 (define @t45 () (forall @t15 @t44)) % 150.51/150.76 (define @t46 () (forall @t18 (_ @t33 (_ @t32 (_ @t30 @t29 @t5) @t5) tptp.e))) % 150.51/150.76 (define @t47 () (forall @t21 (_ @t33 (_ @t32 @t41 tptp.e) @t9))) % 150.51/150.76 (define @t48 () (_ @t30 @t29 tptp.e)) % 150.51/150.76 (define @t49 () (forall @t24 (_ @t33 (_ @t32 @t48 @t12) @t12))) % 150.51/150.76 (define @t50 () (and @t49 @t47 @t46 @t45)) % 150.51/150.76 (define @t51 () (=> @t50 @t37)) % 150.51/150.76 (define @t52 () (not @t51)) % 150.51/150.76 (define @t53 () (tptp.cPx @t3 @t2)) % 150.51/150.76 (define @t54 () (tptp.cP @t6 @t5 @t2)) % 150.51/150.76 (define @t55 () (tptp.cP @t9 @t5 @t3)) % 150.51/150.76 (define @t56 () (tptp.cP @t12 @t9 @t6)) % 150.51/150.76 (define @t57 () (tptp.cP @t5 @t5 tptp.e)) % 150.51/150.76 (define @t58 () (tptp.cP @t9 tptp.e @t9)) % 150.51/150.76 (define @t59 () (tptp.cP tptp.e @t12 @t12)) % 150.51/150.76 (define @t60 () (not @t11)) % 150.51/150.76 (define @t61 () (not @t13)) % 150.51/150.76 (define @t62 () (or @t61 @t60 @t8)) % 150.51/150.76 (define @t63 () (@list tptp.b)) % 150.51/150.76 (define @t64 () (@list tptp.a)) % 150.51/150.76 (define @t65 () (_ @t33 (_ @t32 @t48 tptp.a) tptp.e)) % 150.51/150.76 (define @t66 () (_ @t32 @t39 tptp.e)) % 150.51/150.76 (define @t67 () (_ @t33 @t66 tptp.e)) % 150.51/150.76 (define @t68 () (= @t67 @t65)) % 150.51/150.76 (define @t69 () (_ @t33 (_ @t32 @t35 tptp.a) tptp.e)) % 150.51/150.76 (define @t70 () (not @t69)) % 150.51/150.76 (define @t71 () (or @t70 @t70 @t68)) % 150.51/150.76 (define @t72 () (@list false false)) % 150.51/150.76 (define @t73 () (_ @t33 (_ @t32 @t48 tptp.e) tptp.e)) % 150.51/150.76 (define @t74 () (not @t73)) % 150.51/150.76 (define @t75 () (or @t74 @t74 (= @t67 @t73))) % 150.51/150.76 (define @t76 () (forall @t15 (or @t43 @t42 (= @t40 @t38)))) % 150.51/150.76 (define @t77 () (= @t73 @t67)) % 150.51/150.76 (define @t78 () (or @t74 @t74 @t77)) % 150.51/150.76 (define @t79 () (@list false)) % 150.51/150.76 (define @t80 () (@list @t76)) % 150.51/150.76 (define @t81 () (not @t67)) % 150.51/150.76 (define @t82 () (_ @t33 @t66 tptp.ab)) % 150.51/150.76 (define @t83 () (_ @t32 @t31 tptp.b)) % 150.51/150.76 (define @t84 () (_ @t33 @t83 tptp.e)) % 150.51/150.76 (define @t85 () (not @t84)) % 150.51/150.76 (define @t86 () (_ @t33 @t83 tptp.a)) % 150.51/150.76 (define @t87 () (not @t86)) % 150.51/150.76 (define @t88 () (or @t87 @t85 (= @t82 @t36))) % 150.51/150.76 (define @t89 () (= @t36 @t82)) % 150.51/150.76 (define @t90 () (or @t87 @t85 @t89)) % 150.51/150.76 (define @t91 () (_ @t33 @t66 tptp.a)) % 150.51/150.76 (define @t92 () (_ @t33 (_ @t32 @t48 tptp.b) tptp.e)) % 150.51/150.76 (define @t93 () (not @t92)) % 150.51/150.76 (define @t94 () (_ @t33 (_ @t32 @t31 tptp.e) tptp.b)) % 150.51/150.76 (define @t95 () (not @t94)) % 150.51/150.76 (define @t96 () (or @t95 @t93 (= @t91 @t86))) % 150.51/150.76 (define @t97 () (= @t86 @t91)) % 150.51/150.76 (define @t98 () (or @t95 @t93 @t97)) % 150.51/150.76 (define @t99 () (= @t67 @t92)) % 150.51/150.76 (define @t100 () (or @t85 @t85 @t99)) % 150.51/150.76 (define @t101 () (@list false false false)) % 150.51/150.76 (define @t102 () (_ @t33 (_ @t32 @t35 tptp.e) tptp.a)) % 150.51/150.76 (define @t103 () (not @t102)) % 150.51/150.76 (define @t104 () (or @t103 @t74 (= @t91 @t102))) % 150.51/150.76 (define @t105 () (= @t102 @t91)) % 150.51/150.76 (define @t106 () (or @t103 @t74 @t105)) % 150.51/150.76 (define @t107 () (= @t34 @t82)) % 150.51/150.76 (define @t108 () (not @t107)) % 150.51/150.76 (define @t109 () (not @t65)) % 150.51/150.76 (define @t110 () (or @t95 @t109 (= @t82 @t34))) % 150.51/150.76 (define @t111 () (or @t95 @t109 @t107)) % 150.51/150.76 (assume @p1 @t28) % 150.51/150.76 (assume @p2 true) % 150.51/150.76 (step @p3 :rule refl :args (@t37)) % 150.51/150.76 (step @p4 :rule eq-symm :args (@t38 @t40)) % 150.51/150.76 (step @p5 :rule refl :args (@t42)) % 150.51/150.76 (step @p6 :rule refl :args (@t43)) % 150.51/150.76 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t44)) % 150.51/150.76 (step @p8 :rule cong :premises (@p7) :args (@t45)) % 150.51/150.76 (step @p9 :rule refl :args (@t46)) % 150.51/150.76 (step @p10 :rule refl :args (@t47)) % 150.51/150.76 (step @p11 :rule refl :args (@t49)) % 150.51/150.76 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9 @p8) :args (@t50)) % 150.51/150.76 (step @p13 :rule cong :premises (@p12 @p3) :args (@t51)) % 150.51/150.76 (step @p14 :rule cong :premises (@p13) :args (@t52)) % 150.51/150.76 ; WARNING: add trust step for TRUST % 150.51/150.76 ; trust TRUST PREPROCESS_HO_ELIM % 150.51/150.76 (step @p15 :rule trust :premises () :args ((= (not (=> (and (forall @t24 @t59) (forall @t21 @t58) (forall @t18 @t57) (forall @t15 (or (not @t56) (not @t55) (= @t54 @t53)))) @t1)) @t52))) % 150.51/150.76 (step @p16 :rule refl :args (@t1)) % 150.51/150.76 (step @p17 :rule refl :args (@t53)) % 150.51/150.76 (step @p18 :rule refl :args (@t4)) % 150.51/150.76 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t4 @t53))) % 150.51/150.76 (step @p20 :rule symm :premises (@p19)) % 150.51/150.76 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 150.51/150.76 (step @p22 :rule refl :args (@t54)) % 150.51/150.76 (step @p23 :rule refl :args (@t7)) % 150.51/150.76 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t7 @t54))) % 150.51/150.76 (step @p25 :rule symm :premises (@p24)) % 150.51/150.76 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 150.51/150.76 (step @p27 :rule cong :premises (@p26 @p21) :args (@t8)) % 150.51/150.76 (step @p28 :rule refl :args (@t55)) % 150.51/150.76 (step @p29 :rule refl :args (@t11)) % 150.51/150.76 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t11 @t55))) % 150.51/150.76 (step @p31 :rule symm :premises (@p30)) % 150.51/150.76 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 150.51/150.76 (step @p33 :rule cong :premises (@p32) :args (@t60)) % 150.51/150.76 (step @p34 :rule refl :args (@t56)) % 150.51/150.76 (step @p35 :rule refl :args (@t13)) % 150.51/150.76 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t13 @t56))) % 150.51/150.76 (step @p37 :rule symm :premises (@p36)) % 150.51/150.76 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 150.51/150.76 (step @p39 :rule cong :premises (@p38) :args (@t61)) % 150.51/150.76 (step @p40 :rule nary_cong :premises (@p39 @p33 @p27) :args (@t62)) % 150.51/150.76 (step @p41 :rule cong :premises (@p40) :args ((forall @t15 @t62))) % 150.51/150.76 (step @p42 :rule aci_norm :args ((= (or (or @t61 @t60) @t8) @t62))) % 150.51/150.76 (step @p43 :rule refl :args (@t8)) % 150.51/150.76 (step @p44 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 150.51/150.76 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t14) @t8))) % 150.51/150.76 (step @p46 :rule trans :premises (@p45 @p42)) % 150.51/150.76 (step @p47 :rule bool-impl-elim :args (@t14 @t8)) % 150.51/150.76 (step @p48 :rule trans :premises (@p47 @p46)) % 150.51/150.76 (step @p49 :rule cong :premises (@p48) :args (@t16)) % 150.51/150.76 (step @p50 :rule trans :premises (@p49 @p41)) % 150.51/150.76 (step @p51 :rule refl :args (@t57)) % 150.51/150.76 (step @p52 :rule refl :args (@t17)) % 150.51/150.76 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t17 @t57))) % 150.51/150.76 (step @p54 :rule symm :premises (@p53)) % 150.51/150.76 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 150.51/150.76 (step @p56 :rule cong :premises (@p55) :args (@t19)) % 150.51/150.76 (step @p57 :rule refl :args (@t58)) % 150.51/150.76 (step @p58 :rule refl :args (@t20)) % 150.51/150.76 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t20 @t58))) % 150.51/150.76 (step @p60 :rule symm :premises (@p59)) % 150.51/150.76 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 150.51/150.76 (step @p62 :rule cong :premises (@p61) :args (@t22)) % 150.51/150.76 (step @p63 :rule refl :args (@t59)) % 150.51/150.76 (step @p64 :rule refl :args (@t23)) % 150.51/150.76 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t23 @t59))) % 150.51/150.76 (step @p66 :rule symm :premises (@p65)) % 150.51/150.76 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 150.51/150.76 (step @p68 :rule cong :premises (@p67) :args (@t25)) % 150.51/150.76 (step @p69 :rule nary_cong :premises (@p68 @p62 @p56 @p50) :args (@t26)) % 150.51/150.76 (step @p70 :rule cong :premises (@p69 @p16) :args (@t27)) % 150.51/150.76 (step @p71 :rule cong :premises (@p70) :args (@t28)) % 150.51/150.76 (step @p72 :rule trans :premises (@p71 @p15 @p14)) % 150.51/150.76 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 150.51/150.76 (step @p74 :rule not_implies_elim1 :premises (@p73)) % 150.51/150.76 (step @p75 :rule and_elim :premises (@p74) :args (1)) % 150.51/150.76 (step @p76 :rule instantiate :premises (@p75) :args (@t63)) % 150.51/150.76 (step @p77 :rule and_elim :premises (@p74) :args (3)) % 150.51/150.76 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.a tptp.a tptp.a tptp.e tptp.e tptp.e))) % 150.51/150.76 (step @p79 :rule and_elim :premises (@p74) :args (2)) % 150.51/150.76 (step @p80 :rule instantiate :premises (@p79) :args (@t64)) % 150.51/150.76 (step @p81 :rule cnf_or_pos :args (@t71)) % 150.51/150.76 (step @p82 :rule factoring :premises (@p81)) % 150.51/150.76 (step @p83 :rule reordering :premises (@p82) :args ((or @t70 @t68 (not @t71)))) % 150.51/150.76 (step @p84 :rule chain_m_resolution :premises (@p83 @p80 @p78) :args (@t68 @t72 (@list @t69 @t71))) % 150.51/150.76 (step @p85 :rule eq-symm :args (@t67 @t73)) % 150.51/150.76 (step @p86 :rule refl :args (@t74)) % 150.51/150.76 (step @p87 :rule nary_cong :premises (@p86 @p86 @p85) :args (@t75)) % 150.51/150.76 (step @p88 :rule refl :args (@t76)) % 150.51/150.76 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t76 @t75))) % 150.51/150.76 (assume-push @p191 @t76) % 150.51/150.76 (step @p91 :rule instantiate :premises (@p77) :args ((@list tptp.e tptp.e tptp.e tptp.e tptp.e tptp.e))) % 150.51/150.76 (step-pop @p192 :rule scope :premises (@p91)) % 150.51/150.76 (step @p92 :rule process_scope :premises (@p192) :args (@t75)) % 150.51/150.76 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 150.51/150.76 (step @p95 :rule implies_elim :premises (@p94)) % 150.51/150.76 (step @p96 :rule chain_m_resolution :premises (@p95 @p77) :args (@t78 @t79 @t80)) % 150.51/150.76 (step @p97 :rule instantiate :premises (@p75) :args ((@list tptp.e))) % 150.51/150.76 (step @p98 :rule cnf_or_pos :args (@t78)) % 150.51/150.76 (step @p99 :rule factoring :premises (@p98)) % 150.51/150.76 (step @p100 :rule reordering :premises (@p99) :args ((or @t74 @t77 (not @t78)))) % 150.51/150.76 (step @p101 :rule chain_m_resolution :premises (@p100 @p97 @p96) :args (@t77 @t72 (@list @t73 @t78))) % 150.51/150.76 (step @p102 :rule cnf_equiv_pos1 :args (@t77)) % 150.51/150.76 (step @p103 :rule reordering :premises (@p102) :args ((or @t74 @t67 (not @t77)))) % 150.51/150.76 (step @p104 :rule chain_m_resolution :premises (@p103 @p97 @p101) :args (@t67 @t72 (@list @t73 @t77))) % 150.51/150.76 (step @p105 :rule cnf_equiv_pos1 :args (@t68)) % 150.51/150.76 (step @p106 :rule reordering :premises (@p105) :args ((or @t81 @t65 (not @t68)))) % 150.51/150.76 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p84) :args (@t65 @t72 (@list @t67 @t68))) % 150.51/150.76 (step @p108 :rule eq-symm :args (@t82 @t36)) % 150.51/150.76 (step @p109 :rule refl :args (@t85)) % 150.51/150.76 (step @p110 :rule refl :args (@t87)) % 150.51/150.76 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t88)) % 150.51/150.76 (step @p112 :rule cong :premises (@p88 @p111) :args ((=> @t76 @t88))) % 150.51/150.76 (assume-push @p193 @t76) % 150.51/150.76 (step @p114 :rule instantiate :premises (@p77) :args ((@list tptp.b tptp.b tptp.b tptp.a tptp.e tptp.ab))) % 150.51/150.76 (step-pop @p194 :rule scope :premises (@p114)) % 150.51/150.76 (step @p115 :rule process_scope :premises (@p194) :args (@t88)) % 150.51/150.76 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 150.51/150.76 (step @p118 :rule implies_elim :premises (@p117)) % 150.51/150.76 (step @p119 :rule chain_m_resolution :premises (@p118 @p77) :args (@t90 @t79 @t80)) % 150.51/150.76 (step @p120 :rule eq-symm :args (@t91 @t86)) % 150.51/150.76 (step @p121 :rule refl :args (@t93)) % 150.51/150.76 (step @p122 :rule refl :args (@t95)) % 150.51/150.76 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120) :args (@t96)) % 150.51/150.76 (step @p124 :rule cong :premises (@p88 @p123) :args ((=> @t76 @t96))) % 150.51/150.76 (assume-push @p195 @t76) % 150.51/150.76 (step @p126 :rule instantiate :premises (@p77) :args ((@list tptp.b tptp.e tptp.b tptp.b tptp.e tptp.a))) % 150.51/150.76 (step-pop @p196 :rule scope :premises (@p126)) % 150.51/150.76 (step @p127 :rule process_scope :premises (@p196) :args (@t96)) % 150.51/150.76 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 150.51/150.76 (step @p130 :rule implies_elim :premises (@p129)) % 150.51/150.76 (step @p131 :rule chain_m_resolution :premises (@p130 @p77) :args (@t98 @t79 @t80)) % 150.51/150.76 (step @p132 :rule instantiate :premises (@p77) :args ((@list tptp.b tptp.b tptp.b tptp.e tptp.e tptp.e))) % 150.51/150.76 (step @p133 :rule instantiate :premises (@p79) :args (@t63)) % 150.51/150.76 (step @p134 :rule cnf_or_pos :args (@t100)) % 150.51/150.76 (step @p135 :rule factoring :premises (@p134)) % 150.51/150.76 (step @p136 :rule reordering :premises (@p135) :args ((or @t85 @t99 (not @t100)))) % 150.51/150.76 (step @p137 :rule chain_m_resolution :premises (@p136 @p133 @p132) :args (@t99 @t72 (@list @t84 @t100))) % 150.51/150.76 (step @p138 :rule cnf_equiv_pos1 :args (@t99)) % 150.51/150.76 (step @p139 :rule reordering :premises (@p138) :args ((or @t81 @t92 (not @t99)))) % 150.51/150.76 (step @p140 :rule chain_m_resolution :premises (@p139 @p104 @p137) :args (@t92 @t72 (@list @t67 @t99))) % 150.51/150.76 (step @p141 :rule cnf_or_pos :args (@t98)) % 150.51/150.76 (step @p142 :rule reordering :premises (@p141) :args ((or @t95 @t93 @t97 (not @t98)))) % 150.51/150.76 (step @p143 :rule chain_m_resolution :premises (@p142 @p76 @p140 @p131) :args (@t97 @t101 (@list @t94 @t92 @t98))) % 150.51/150.76 (step @p144 :rule eq-symm :args (@t91 @t102)) % 150.51/150.76 (step @p145 :rule refl :args (@t103)) % 150.51/150.76 (step @p146 :rule nary_cong :premises (@p145 @p86 @p144) :args (@t104)) % 150.51/150.76 (step @p147 :rule cong :premises (@p88 @p146) :args ((=> @t76 @t104))) % 150.51/150.76 (assume-push @p197 @t76) % 150.51/150.76 (step @p149 :rule instantiate :premises (@p77) :args ((@list tptp.a tptp.e tptp.e tptp.a tptp.e tptp.a))) % 150.51/150.76 (step-pop @p198 :rule scope :premises (@p149)) % 150.51/150.76 (step @p150 :rule process_scope :premises (@p198) :args (@t104)) % 150.51/150.76 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 150.51/150.76 (step @p153 :rule implies_elim :premises (@p152)) % 150.51/150.76 (step @p154 :rule chain_m_resolution :premises (@p153 @p77) :args (@t106 @t79 @t80)) % 150.51/150.76 (step @p155 :rule instantiate :premises (@p75) :args (@t64)) % 150.51/150.76 (step @p156 :rule cnf_or_pos :args (@t106)) % 150.51/150.76 (step @p157 :rule reordering :premises (@p156) :args ((or @t103 @t74 @t105 (not @t106)))) % 150.51/150.76 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p97 @p154) :args (@t105 @t101 (@list @t102 @t73 @t106))) % 150.51/150.76 (step @p159 :rule cnf_equiv_pos1 :args (@t105)) % 150.51/150.76 (step @p160 :rule reordering :premises (@p159) :args ((or @t103 @t91 (not @t105)))) % 150.51/150.76 (step @p161 :rule chain_m_resolution :premises (@p160 @p155 @p158) :args (@t91 @t72 (@list @t102 @t105))) % 150.51/150.76 (step @p162 :rule cnf_equiv_pos2 :args (@t97)) % 150.51/150.76 (step @p163 :rule reordering :premises (@p162) :args ((or @t86 (not @t91) (not @t97)))) % 150.51/150.76 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p143) :args (@t86 @t72 (@list @t91 @t97))) % 150.51/150.76 (step @p165 :rule cnf_or_pos :args (@t90)) % 150.51/150.76 (step @p166 :rule reordering :premises (@p165) :args ((or @t85 @t87 @t89 (not @t90)))) % 150.51/150.76 (step @p167 :rule chain_m_resolution :premises (@p166 @p133 @p164 @p119) :args (@t89 @t101 (@list @t84 @t86 @t90))) % 150.51/150.76 (step @p168 :rule not_implies_elim2 :premises (@p73)) % 150.51/150.76 (step @p169 :rule not_implies_elim1 :premises (@p168)) % 150.51/150.76 (step @p170 :rule cnf_equiv_pos1 :args (@t89)) % 150.51/150.76 (step @p171 :rule reordering :premises (@p170) :args ((or (not @t36) @t82 (not @t89)))) % 150.51/150.76 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p167) :args (@t82 @t72 (@list @t36 @t89))) % 150.51/150.76 (step @p173 :rule not_implies_elim2 :premises (@p168)) % 150.51/150.76 (step @p174 :rule cnf_equiv_pos2 :args (@t107)) % 150.51/150.76 (step @p175 :rule reordering :premises (@p174) :args ((or @t34 (not @t82) @t108))) % 150.51/150.76 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p172) :args (@t108 (@list true false) (@list @t34 @t82))) % 150.51/150.76 (step @p177 :rule eq-symm :args (@t82 @t34)) % 150.51/150.76 (step @p178 :rule refl :args (@t109)) % 150.51/150.76 (step @p179 :rule nary_cong :premises (@p122 @p178 @p177) :args (@t110)) % 150.51/150.76 (step @p180 :rule cong :premises (@p88 @p179) :args ((=> @t76 @t110))) % 150.51/150.76 (assume-push @p199 @t76) % 150.51/150.76 (step @p182 :rule instantiate :premises (@p77) :args ((@list tptp.b tptp.e tptp.a tptp.b tptp.e tptp.ab))) % 150.51/150.76 (step-pop @p200 :rule scope :premises (@p182)) % 150.51/150.76 (step @p183 :rule process_scope :premises (@p200) :args (@t110)) % 150.51/150.76 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 150.51/150.76 (step @p186 :rule implies_elim :premises (@p185)) % 150.51/150.76 (step @p187 :rule chain_m_resolution :premises (@p186 @p77) :args (@t111 @t79 @t80)) % 150.51/150.76 (step @p188 :rule cnf_or_pos :args (@t111)) % 150.51/150.76 (step @p189 :rule reordering :premises (@p188) :args ((or @t95 @t109 @t107 (not @t111)))) % 150.51/150.76 (step @p190 false :rule chain_m_resolution :premises (@p189 @p187 @p176 @p107 @p76) :args (false (@list false true false false) (@list @t111 @t107 @t65 @t94))) % 150.51/150.76 ) % 150.51/150.76 % SZS output end Proof % 150.51/150.76 % cvc5 exiting %------------------------------------------------------------------------------