%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO105^5 : 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 : n019.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 09:12:03 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO105^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:59:04 EDT 2026 % 0.18/0.36 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.36/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.cQ (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.cP (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.y $$unsorted) % 0.36/0.59 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.36/0.59 (define @t1 () (@var "Xv" $$unsorted)) % 0.36/0.59 (define @t2 () (_ tptp.cR @t1)) % 0.36/0.59 (define @t3 () (not @t2)) % 0.36/0.59 (define @t4 () (@var "Xz" $$unsorted)) % 0.36/0.59 (define @t5 () (@var "Xu" $$unsorted)) % 0.36/0.59 (define @t6 () (_ (_ (_ tptp.cP @t5) tptp.y) @t4)) % 0.36/0.59 (define @t7 () (=> @t6 @t3)) % 0.36/0.59 (define @t8 () (not @t7)) % 0.36/0.59 (define @t9 () (@var "Xx" $$unsorted)) % 0.36/0.59 (define @t10 () (_ (_ tptp.cQ @t9) tptp.y)) % 0.36/0.59 (define @t11 () (@list @t1)) % 0.36/0.59 (define @t12 () (forall @t11 (not (=> @t10 @t8)))) % 0.36/0.59 (define @t13 () (@list @t5)) % 0.36/0.59 (define @t14 () (exists @t13 @t12)) % 0.36/0.59 (define @t15 () (@list @t4)) % 0.36/0.59 (define @t16 () (forall @t15 @t14)) % 0.36/0.59 (define @t17 () (@list @t9)) % 0.36/0.59 (define @t18 () (exists @t17 @t16)) % 0.36/0.59 (define @t19 () (exists @t11 @t2)) % 0.36/0.59 (define @t20 () (not @t19)) % 0.36/0.59 (define @t21 () (forall @t13 @t6)) % 0.36/0.59 (define @t22 () (=> @t21 @t20)) % 0.36/0.59 (define @t23 () (forall @t15 @t22)) % 0.36/0.59 (define @t24 () (not @t23)) % 0.36/0.59 (define @t25 () (exists @t17 @t10)) % 0.36/0.59 (define @t26 () (=> @t25 @t24)) % 0.36/0.59 (define @t27 () (not @t26)) % 0.36/0.59 (define @t28 () (= @t27 @t18)) % 0.36/0.59 (define @t29 () (not @t28)) % 0.36/0.59 (define @t30 () (tptp.cP @t5 tptp.y @t4)) % 0.36/0.59 (define @t31 () (forall @t13 @t30)) % 0.36/0.59 (define @t32 () (not @t31)) % 0.36/0.59 (define @t33 () (forall @t15 @t32)) % 0.36/0.59 (define @t34 () (tptp.cR @t1)) % 0.36/0.59 (define @t35 () (forall @t11 (not @t34))) % 0.36/0.59 (define @t36 () (or @t35 @t33)) % 0.36/0.59 (define @t37 () (not @t35)) % 0.36/0.59 (define @t38 () (@list @t1)) % 0.36/0.59 (define @t39 () (@var "BOUND_VARIABLE_7477" $$unsorted)) % 0.36/0.59 (define @t40 () (@list @t39)) % 0.36/0.59 (define @t41 () (not @t36)) % 0.36/0.59 (define @t42 () (tptp.cQ @t9 tptp.y)) % 0.36/0.59 (define @t43 () (forall @t17 (not @t42))) % 0.36/0.59 (define @t44 () (not @t43)) % 0.36/0.59 (define @t45 () (=> @t44 @t41)) % 0.36/0.59 (define @t46 () (not @t45)) % 0.36/0.59 (define @t47 () (@var "BOUND_VARIABLE_7524" $$unsorted)) % 0.36/0.59 (define @t48 () (@var "BOUND_VARIABLE_7503" $$unsorted)) % 0.36/0.59 (define @t49 () (@list @t48)) % 0.36/0.59 (define @t50 () (not (forall @t49 (tptp.cP @t48 tptp.y @t47)))) % 0.36/0.59 (define @t51 () (@list @t47)) % 0.36/0.59 (define @t52 () (forall @t51 @t50)) % 0.36/0.59 (define @t53 () (not @t52)) % 0.36/0.59 (define @t54 () (tptp.cR @t39)) % 0.36/0.59 (define @t55 () (@list @t39)) % 0.36/0.59 (define @t56 () (forall @t55 (not @t54))) % 0.36/0.59 (define @t57 () (not @t56)) % 0.36/0.59 (define @t58 () (and @t57 @t53)) % 0.36/0.59 (define @t59 () (not @t58)) % 0.36/0.59 (define @t60 () (or @t58 @t43)) % 0.36/0.59 (define @t61 () (not @t60)) % 0.36/0.59 (define @t62 () (not @t10)) % 0.36/0.59 (define @t63 () (forall @t17 @t62)) % 0.36/0.59 (define @t64 () (or @t58 @t63)) % 0.36/0.59 (define @t65 () (or @t58 @t62)) % 0.36/0.59 (define @t66 () (or @t62 @t58)) % 0.36/0.59 (define @t67 () (or @t56 @t52)) % 0.36/0.59 (define @t68 () (and @t10 @t67)) % 0.36/0.59 (define @t69 () (forall @t17 (not @t68))) % 0.36/0.59 (define @t70 () (not @t69)) % 0.36/0.59 (define @t71 () (or @t56 @t50)) % 0.36/0.59 (define @t72 () (or @t50 @t56)) % 0.36/0.59 (define @t73 () (forall @t51 @t72)) % 0.36/0.59 (define @t74 () (tptp.cP @t48 tptp.y @t4)) % 0.36/0.59 (define @t75 () (forall @t49 @t74)) % 0.36/0.59 (define @t76 () (not @t75)) % 0.36/0.59 (define @t77 () (or @t76 @t56)) % 0.36/0.59 (define @t78 () (forall @t15 @t77)) % 0.36/0.59 (define @t79 () (forall @t15 @t10)) % 0.36/0.59 (define @t80 () (and @t79 @t78)) % 0.36/0.59 (define @t81 () (not @t57)) % 0.36/0.59 (define @t82 () (and @t75 @t57)) % 0.36/0.59 (define @t83 () (not @t82)) % 0.36/0.59 (define @t84 () (_ (_ (_ tptp.cP @t48) tptp.y) @t4)) % 0.36/0.59 (define @t85 () (forall @t49 @t84)) % 0.36/0.59 (define @t86 () (forall @t13 @t57)) % 0.36/0.59 (define @t87 () (and @t21 @t86)) % 0.36/0.59 (define @t88 () (and @t6 @t57)) % 0.36/0.59 (define @t89 () (forall @t13 @t88)) % 0.36/0.59 (define @t90 () (or @t62 @t89)) % 0.36/0.59 (define @t91 () (not @t6)) % 0.36/0.59 (define @t92 () (or @t91 @t56)) % 0.36/0.59 (define @t93 () (and @t10 @t92)) % 0.36/0.59 (define @t94 () (forall @t13 (not @t93))) % 0.36/0.59 (define @t95 () (not @t94)) % 0.36/0.59 (define @t96 () (_ tptp.cR @t39)) % 0.36/0.59 (define @t97 () (not @t96)) % 0.36/0.59 (define @t98 () (forall @t55 @t97)) % 0.36/0.59 (define @t99 () (or @t91 @t98)) % 0.36/0.59 (define @t100 () (forall @t55 (or @t91 @t97))) % 0.36/0.59 (define @t101 () (or @t91 @t3)) % 0.36/0.59 (define @t102 () (forall @t11 @t101)) % 0.36/0.59 (define @t103 () (forall @t11 @t10)) % 0.36/0.59 (define @t104 () (and @t103 @t102)) % 0.36/0.59 (define @t105 () (or @t35 @t32)) % 0.36/0.59 (define @t106 () (or @t32 @t35)) % 0.36/0.59 (define @t107 () (forall @t11 @t3)) % 0.36/0.59 (define @t108 () (not @t107)) % 0.36/0.59 (define @t109 () (not @t63)) % 0.36/0.59 (define @t110 () (@list false true true false false)) % 0.36/0.59 (define @t111 () (not @t33)) % 0.36/0.59 (define @t112 () (@list false)) % 0.36/0.59 (define @t113 () (@list @t43)) % 0.36/0.59 (assume @p1 @t29) % 0.36/0.59 (assume @p2 true) % 0.36/0.59 (step @p3 :rule cnf_or_neg :args (@t36 0)) % 0.36/0.59 (step @p4 :rule reordering :premises (@p3) :args ((or @t37 @t36))) % 0.36/0.59 (step @p5 :rule alpha_equiv :args (@t35 @t38 @t40)) % 0.36/0.59 (step @p6 :rule equiv_elim1 :premises (@p5)) % 0.36/0.59 (step @p7 :rule refl :args (@t41)) % 0.36/0.59 (step @p8 :rule bool-double-not-elim :args (@t43)) % 0.36/0.59 (step @p9 :rule refl :args (@t46)) % 0.36/0.59 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args ((or @t46 (not @t44) @t41))) % 0.36/0.59 (step @p11 :rule cnf_implies_pos :args (@t45)) % 0.36/0.59 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 0.36/0.59 (step @p13 :rule reordering :premises (@p12) :args ((or @t43 @t41 @t46))) % 0.36/0.59 (step @p14 :rule cnf_and_pos :args (@t58 0)) % 0.36/0.59 (step @p15 :rule reordering :premises (@p14) :args ((or @t57 @t59))) % 0.36/0.59 (step @p16 :rule bool-double-not-elim :args (@t60)) % 0.36/0.59 (step @p17 :rule bool-double-not-elim :args (@t45)) % 0.36/0.59 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t46) (not @t61)))) % 0.36/0.59 (step @p19 :rule refl :args (@t42)) % 0.36/0.59 (step @p20 :rule refl :args (@t10)) % 0.36/0.59 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t10 @t42))) % 0.36/0.59 (step @p22 :rule symm :premises (@p21)) % 0.36/0.59 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.36/0.59 (step @p24 :rule cong :premises (@p23) :args (@t62)) % 0.36/0.59 (step @p25 :rule cong :premises (@p24) :args (@t63)) % 0.36/0.59 (step @p26 :rule refl :args (@t58)) % 0.36/0.59 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t64)) % 0.36/0.59 (step @p28 :rule quant-miniscope-or :args ((= (forall @t17 @t65) @t64))) % 0.36/0.59 (step @p29 :rule aci_norm :args ((= @t66 @t65))) % 0.36/0.59 (step @p30 :rule cong :premises (@p29) :args ((forall @t17 @t66))) % 0.36/0.59 (step @p31 :rule trans :premises (@p30 @p28)) % 0.36/0.59 (step @p32 :rule trans :premises (@p31 @p27)) % 0.36/0.59 (step @p33 :rule bool-or-de-morgan :args (@t56 @t52 false)) % 0.36/0.59 (step @p34 :rule refl :args (@t62)) % 0.36/0.59 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t62 (not @t67)))) % 0.36/0.59 (step @p36 :rule bool-and-de-morgan :args (@t10 @t67 true)) % 0.36/0.59 (step @p37 :rule trans :premises (@p36 @p35)) % 0.36/0.59 (step @p38 :rule cong :premises (@p37) :args (@t69)) % 0.36/0.59 (step @p39 :rule trans :premises (@p38 @p32)) % 0.36/0.59 (step @p40 :rule cong :premises (@p39) :args (@t70)) % 0.36/0.59 (step @p41 :rule exists-elim :args ((= (exists @t17 @t68) @t70))) % 0.36/0.59 (step @p42 :rule trans :premises (@p41 @p40)) % 0.36/0.59 (step @p43 :rule quant-miniscope-or :args ((= (forall @t51 @t71) @t67))) % 0.36/0.59 (step @p44 :rule aci_norm :args ((= @t72 @t71))) % 0.36/0.59 (step @p45 :rule cong :premises (@p44) :args (@t73)) % 0.36/0.59 (step @p46 :rule trans :premises (@p45 @p43)) % 0.36/0.59 (step @p47 :rule refl :args (@t10)) % 0.36/0.59 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((and @t10 @t73))) % 0.36/0.59 (step @p49 :rule alpha_equiv :args (@t78 (@list @t4) (@list @t47))) % 0.36/0.59 (step @p50 :rule quant-unused-vars :args ((= @t79 @t10))) % 0.36/0.59 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t80)) % 0.36/0.59 (step @p52 :rule quant-miniscope-and :args ((= (forall @t15 (and @t10 @t77)) @t80))) % 0.36/0.59 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.59 (step @p54 :rule trans :premises (@p53 @p48)) % 0.36/0.59 (step @p55 :rule bool-double-not-elim :args (@t56)) % 0.36/0.59 (step @p56 :rule refl :args (@t76)) % 0.36/0.59 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t76 @t81))) % 0.36/0.59 (step @p58 :rule bool-and-de-morgan :args (@t75 @t57 true)) % 0.36/0.59 (step @p59 :rule trans :premises (@p58 @p57)) % 0.36/0.59 (step @p60 :rule nary_cong :premises (@p20 @p59) :args ((and @t10 @t83))) % 0.36/0.59 (step @p61 :rule refl :args (@t83)) % 0.36/0.59 (step @p62 :rule bool-double-not-elim :args (@t10)) % 0.36/0.59 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((and (not @t62) @t83))) % 0.36/0.59 (step @p64 :rule bool-or-de-morgan :args (@t62 @t82 false)) % 0.36/0.59 (step @p65 :rule trans :premises (@p64 @p63)) % 0.36/0.59 (step @p66 :rule trans :premises (@p65 @p60)) % 0.36/0.59 (step @p67 :rule cong :premises (@p66) :args ((forall @t15 (not (or @t62 @t82))))) % 0.36/0.59 (step @p68 :rule trans :premises (@p67 @p54)) % 0.36/0.59 (step @p69 :rule refl :args (@t57)) % 0.36/0.59 (step @p70 :rule refl :args (@t74)) % 0.36/0.59 (step @p71 :rule refl :args (@t84)) % 0.36/0.59 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t84 @t74))) % 0.36/0.59 (step @p73 :rule symm :premises (@p72)) % 0.36/0.59 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.36/0.59 (step @p75 :rule cong :premises (@p74) :args (@t85)) % 0.36/0.59 (step @p76 :rule nary_cong :premises (@p75 @p69) :args ((and @t85 @t57))) % 0.36/0.59 (step @p77 :rule quant-unused-vars :args ((= @t86 @t57))) % 0.36/0.59 (step @p78 :rule alpha_equiv :args (@t21 (@list @t5) (@list @t48))) % 0.36/0.59 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t87)) % 0.36/0.59 (step @p80 :rule quant-miniscope-and :args ((= @t89 @t87))) % 0.36/0.59 (step @p81 :rule trans :premises (@p80 @p79)) % 0.36/0.59 (step @p82 :rule trans :premises (@p81 @p76)) % 0.36/0.59 (step @p83 :rule refl :args (@t62)) % 0.36/0.59 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t90)) % 0.36/0.59 (step @p85 :rule quant-miniscope-or :args ((= (forall @t13 (or @t62 @t88)) @t90))) % 0.36/0.59 (step @p86 :rule trans :premises (@p85 @p84)) % 0.36/0.59 (step @p87 :rule refl :args (@t57)) % 0.36/0.59 (step @p88 :rule bool-double-not-elim :args (@t6)) % 0.36/0.59 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((and (not @t91) @t57))) % 0.36/0.59 (step @p90 :rule bool-or-de-morgan :args (@t91 @t56 false)) % 0.36/0.59 (step @p91 :rule trans :premises (@p90 @p89)) % 0.36/0.59 (step @p92 :rule nary_cong :premises (@p34 @p91) :args ((or @t62 (not @t92)))) % 0.36/0.59 (step @p93 :rule bool-and-de-morgan :args (@t10 @t92 true)) % 0.36/0.59 (step @p94 :rule trans :premises (@p93 @p92)) % 0.36/0.59 (step @p95 :rule cong :premises (@p94) :args (@t94)) % 0.36/0.59 (step @p96 :rule trans :premises (@p95 @p86)) % 0.36/0.59 (step @p97 :rule cong :premises (@p96) :args (@t95)) % 0.36/0.59 (step @p98 :rule exists-elim :args ((= (exists @t13 @t93) @t95))) % 0.36/0.59 (step @p99 :rule trans :premises (@p98 @p97)) % 0.36/0.59 (step @p100 :rule refl :args (@t54)) % 0.36/0.59 (step @p101 :rule refl :args (@t96)) % 0.36/0.59 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t96 @t54))) % 0.36/0.59 (step @p103 :rule symm :premises (@p102)) % 0.36/0.59 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.36/0.59 (step @p105 :rule cong :premises (@p104) :args (@t97)) % 0.36/0.59 (step @p106 :rule cong :premises (@p105) :args (@t98)) % 0.36/0.59 (step @p107 :rule refl :args (@t91)) % 0.36/0.59 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t99)) % 0.36/0.59 (step @p109 :rule quant-miniscope-or :args ((= @t100 @t99))) % 0.36/0.59 (step @p110 :rule trans :premises (@p109 @p108)) % 0.36/0.59 (step @p111 :rule nary_cong :premises (@p47 @p110) :args ((and @t10 @t100))) % 0.36/0.59 (step @p112 :rule alpha_equiv :args (@t102 @t38 @t40)) % 0.36/0.59 (step @p113 :rule quant-unused-vars :args ((= @t103 @t10))) % 0.36/0.59 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t104)) % 0.36/0.59 (step @p115 :rule quant-miniscope-and :args ((= (forall @t11 (and @t10 @t101)) @t104))) % 0.36/0.59 (step @p116 :rule trans :premises (@p115 @p114)) % 0.36/0.59 (step @p117 :rule trans :premises (@p116 @p111)) % 0.36/0.59 (step @p118 :rule bool-impl-elim :args (@t6 @t3)) % 0.36/0.59 (step @p119 :rule nary_cong :premises (@p20 @p118) :args ((and @t10 @t7))) % 0.36/0.59 (step @p120 :rule bool-double-not-elim :args (@t7)) % 0.36/0.59 (step @p121 :rule nary_cong :premises (@p20 @p120) :args ((and @t10 (not @t8)))) % 0.36/0.59 (step @p122 :rule bool-implies-de-morgan :args (@t10 @t8)) % 0.36/0.59 (step @p123 :rule trans :premises (@p122 @p121)) % 0.36/0.59 (step @p124 :rule trans :premises (@p123 @p119)) % 0.36/0.59 (step @p125 :rule cong :premises (@p124) :args (@t12)) % 0.36/0.59 (step @p126 :rule trans :premises (@p125 @p117)) % 0.36/0.59 (step @p127 :rule cong :premises (@p126) :args (@t14)) % 0.36/0.59 (step @p128 :rule trans :premises (@p127 @p99)) % 0.36/0.59 (step @p129 :rule cong :premises (@p128) :args (@t16)) % 0.36/0.59 (step @p130 :rule trans :premises (@p129 @p68)) % 0.36/0.59 (step @p131 :rule cong :premises (@p130) :args (@t18)) % 0.36/0.59 (step @p132 :rule trans :premises (@p131 @p42)) % 0.36/0.59 (step @p133 :rule quant-miniscope-or :args ((= (forall @t15 @t105) @t36))) % 0.36/0.59 (step @p134 :rule aci_norm :args ((= @t106 @t105))) % 0.36/0.59 (step @p135 :rule cong :premises (@p134) :args ((forall @t15 @t106))) % 0.36/0.59 (step @p136 :rule trans :premises (@p135 @p133)) % 0.36/0.59 (step @p137 :rule bool-impl-elim :args (@t31 @t35)) % 0.36/0.59 (step @p138 :rule cong :premises (@p137) :args ((forall @t15 (=> @t31 @t35)))) % 0.36/0.59 (step @p139 :rule trans :premises (@p138 @p136)) % 0.36/0.59 (step @p140 :rule bool-double-not-elim :args (@t35)) % 0.36/0.59 (step @p141 :rule refl :args (@t34)) % 0.36/0.59 (step @p142 :rule refl :args (@t2)) % 0.36/0.59 (step @p143 :rule cong :premises (@p142 @p141) :args ((= @t2 @t34))) % 0.36/0.59 (step @p144 :rule symm :premises (@p143)) % 0.36/0.59 (step @p145 :rule eq_resolve :premises (@p142 @p144)) % 0.36/0.59 (step @p146 :rule cong :premises (@p145) :args (@t3)) % 0.36/0.59 (step @p147 :rule cong :premises (@p146) :args (@t107)) % 0.36/0.59 (step @p148 :rule cong :premises (@p147) :args (@t108)) % 0.36/0.59 (step @p149 :rule exists-elim :args ((= @t19 @t108))) % 0.36/0.59 (step @p150 :rule trans :premises (@p149 @p148)) % 0.36/0.59 (step @p151 :rule cong :premises (@p150) :args (@t20)) % 0.36/0.59 (step @p152 :rule trans :premises (@p151 @p140)) % 0.36/0.59 (step @p153 :rule refl :args (@t30)) % 0.36/0.59 (step @p154 :rule refl :args (@t6)) % 0.36/0.59 (step @p155 :rule cong :premises (@p154 @p153) :args ((= @t6 @t30))) % 0.36/0.59 (step @p156 :rule symm :premises (@p155)) % 0.36/0.59 (step @p157 :rule eq_resolve :premises (@p154 @p156)) % 0.36/0.59 (step @p158 :rule cong :premises (@p157) :args (@t21)) % 0.36/0.59 (step @p159 :rule cong :premises (@p158 @p152) :args (@t22)) % 0.36/0.59 (step @p160 :rule cong :premises (@p159) :args (@t23)) % 0.36/0.59 (step @p161 :rule trans :premises (@p160 @p139)) % 0.36/0.59 (step @p162 :rule cong :premises (@p161) :args (@t24)) % 0.36/0.59 (step @p163 :rule cong :premises (@p25) :args (@t109)) % 0.36/0.59 (step @p164 :rule exists-elim :args ((= @t25 @t109))) % 0.36/0.59 (step @p165 :rule trans :premises (@p164 @p163)) % 0.36/0.59 (step @p166 :rule cong :premises (@p165 @p162) :args (@t26)) % 0.36/0.59 (step @p167 :rule cong :premises (@p166) :args (@t27)) % 0.36/0.59 (step @p168 :rule cong :premises (@p167 @p132) :args (@t28)) % 0.36/0.59 (step @p169 :rule cong :premises (@p168) :args (@t29)) % 0.36/0.59 (step @p170 :rule eq_resolve :premises (@p1 @p169)) % 0.36/0.59 (step @p171 :rule not_equiv_elim2 :premises (@p170)) % 0.36/0.59 (step @p172 :rule eq_resolve :premises (@p171 @p18)) % 0.36/0.59 (step @p173 :rule cnf_or_pos :args (@t60)) % 0.36/0.59 (step @p174 :rule reordering :premises (@p173) :args ((or @t43 @t58 @t61))) % 0.36/0.59 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p15 @p13 @p6 @p4) :args ((or @t43 @t37) @t110 (@list @t60 @t58 @t45 @t56 @t36))) % 0.36/0.59 (step @p176 :rule equiv_elim2 :premises (@p5)) % 0.36/0.59 (step @p177 :rule cnf_or_neg :args (@t36 1)) % 0.36/0.59 (step @p178 :rule alpha_equiv :args (@t33 (@list @t5 @t4) (@list @t48 @t47))) % 0.36/0.59 (step @p179 :rule equiv_elim1 :premises (@p178)) % 0.36/0.59 (step @p180 :rule reordering :premises (@p179) :args ((or @t52 @t111))) % 0.36/0.59 (step @p181 :rule cnf_and_pos :args (@t58 1)) % 0.36/0.59 (step @p182 :rule reordering :premises (@p181) :args ((or @t53 @t59))) % 0.36/0.59 (step @p183 :rule chain_m_resolution :premises (@p174 @p172 @p182 @p13 @p180 @p177) :args ((or @t43 @t111) @t110 (@list @t60 @t58 @t45 @t52 @t36))) % 0.36/0.59 (step @p184 :rule cnf_or_pos :args (@t36)) % 0.36/0.59 (step @p185 :rule reordering :premises (@p184) :args ((or @t35 @t33 @t41))) % 0.36/0.59 (step @p186 :rule equiv_elim2 :premises (@p178)) % 0.36/0.59 (step @p187 :rule bool-double-not-elim :args (@t36)) % 0.36/0.59 (step @p188 :rule refl :args (@t45)) % 0.36/0.59 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t45 (not @t41)))) % 0.36/0.59 (step @p190 :rule cnf_implies_neg2 :args (@t45)) % 0.36/0.59 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.36/0.59 (step @p192 :rule reordering :premises (@p191) :args ((or @t36 @t45))) % 0.36/0.59 (step @p193 :rule bool-double-not-elim :args (@t52)) % 0.36/0.59 (step @p194 :rule nary_cong :premises (@p26 @p55 @p193) :args ((or @t58 @t81 (not @t53)))) % 0.36/0.59 (step @p195 :rule cnf_and_neg :args (@t58)) % 0.36/0.59 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 0.36/0.59 (step @p197 :rule reordering :premises (@p196) :args ((or @t56 @t52 @t58))) % 0.36/0.59 (step @p198 :rule not_equiv_elim1 :premises (@p170)) % 0.36/0.59 (step @p199 :rule cnf_or_neg :args (@t60 0)) % 0.36/0.59 (step @p200 :rule chain_m_resolution :premises (@p199 @p198 @p197 @p192 @p186 @p185 @p183 @p176 @p175) :args (@t43 (@list true false false true true true true true) (@list @t60 @t58 @t45 @t52 @t36 @t33 @t56 @t35))) % 0.36/0.59 (step @p201 :rule cnf_implies_neg1 :args (@t45)) % 0.36/0.59 (step @p202 :rule reordering :premises (@p201) :args ((or @t44 @t45))) % 0.36/0.59 (step @p203 :rule chain_m_resolution :premises (@p202 @p200) :args (@t45 @t112 @t113)) % 0.36/0.59 (step @p204 :rule cnf_or_neg :args (@t60 1)) % 0.36/0.59 (step @p205 :rule reordering :premises (@p204) :args ((or @t44 @t60))) % 0.36/0.59 (step @p206 :rule chain_m_resolution :premises (@p205 @p200) :args (@t60 @t112 @t113)) % 0.36/0.59 (step @p207 false :rule chain_m_resolution :premises (@p198 @p206 @p203) :args (false (@list false false) (@list @t60 @t45))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------