%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO327^5 : 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 : n016.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 09:12:26 AM UTC 2026 % Result : Theorem 120.76s 121.34s % Output : Proof 120.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO327^5 : 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 % 0.16/0.36 % Computer : n016.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Wed Jun 3 00:03:39 EDT 2026 % 0.16/0.36 % CPUTime : % 0.28/0.50 %----Proving TH0 % 120.76/121.34 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 120.76/121.34 --- 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... % 120.76/121.34 --- 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... % 120.76/121.34 % SZS status Theorem % 120.76/121.34 % SZS output start Proof % 120.76/121.34 ( % 120.76/121.34 (declare-sort $$unsorted 0) % 120.76/121.34 (declare-const tptp.c0 $$unsorted) % 120.76/121.34 (declare-const tptp.cS (-> $$unsorted $$unsorted)) % 120.76/121.34 (declare-const tptp.cDOUBLE (-> $$unsorted $$unsorted Bool)) % 120.76/121.34 (declare-const tptp.cHALF (-> $$unsorted $$unsorted Bool)) % 120.76/121.34 (define @t1 () (@var "Xu" $$unsorted)) % 120.76/121.34 (define @t2 () (@var "Xv" $$unsorted)) % 120.76/121.34 (define @t3 () (_ (_ tptp.cHALF @t2) @t1)) % 120.76/121.34 (define @t4 () (_ (_ tptp.cDOUBLE @t1) @t2)) % 120.76/121.34 (define @t5 () (@list @t1 @t2)) % 120.76/121.34 (define @t6 () (forall @t5 (=> @t4 @t3))) % 120.76/121.34 (define @t7 () (@var "Xy" $$unsorted)) % 120.76/121.34 (define @t8 () (_ tptp.cS @t7)) % 120.76/121.34 (define @t9 () (@var "Xx" $$unsorted)) % 120.76/121.34 (define @t10 () (_ tptp.cS @t9)) % 120.76/121.34 (define @t11 () (_ tptp.cS @t10)) % 120.76/121.34 (define @t12 () (_ (_ tptp.cHALF @t11) @t8)) % 120.76/121.34 (define @t13 () (_ (_ tptp.cHALF @t9) @t7)) % 120.76/121.34 (define @t14 () (@list @t9 @t7)) % 120.76/121.34 (define @t15 () (forall @t14 (=> @t13 @t12))) % 120.76/121.34 (define @t16 () (_ tptp.cS tptp.c0)) % 120.76/121.34 (define @t17 () (_ tptp.cHALF tptp.c0)) % 120.76/121.34 (define @t18 () (_ @t17 @t16)) % 120.76/121.34 (define @t19 () (_ @t17 tptp.c0)) % 120.76/121.34 (define @t20 () (@var "Q" (-> $$unsorted $$unsorted Bool))) % 120.76/121.34 (define @t21 () (_ (_ @t20 @t1) @t2)) % 120.76/121.34 (define @t22 () (_ tptp.cS @t8)) % 120.76/121.34 (define @t23 () (_ (_ @t20 @t10) @t22)) % 120.76/121.34 (define @t24 () (_ (_ @t20 @t9) @t7)) % 120.76/121.34 (define @t25 () (forall @t14 (=> @t24 @t23))) % 120.76/121.34 (define @t26 () (_ (_ @t20 tptp.c0) tptp.c0)) % 120.76/121.34 (define @t27 () (and @t4 @t26 @t25)) % 120.76/121.34 (define @t28 () (=> @t27 @t21)) % 120.76/121.34 (define @t29 () (@list @t20 @t1 @t2)) % 120.76/121.34 (define @t30 () (forall @t29 @t28)) % 120.76/121.34 (define @t31 () (and @t30 @t19 @t18 @t15)) % 120.76/121.34 (define @t32 () (=> @t31 @t6)) % 120.76/121.34 (define @t33 () (not @t32)) % 120.76/121.34 (define @t34 () (tptp.cHALF @t2 @t1)) % 120.76/121.34 (define @t35 () (tptp.cDOUBLE @t1 @t2)) % 120.76/121.34 (define @t36 () (not @t35)) % 120.76/121.34 (define @t37 () (forall @t5 (or @t36 @t34))) % 120.76/121.34 (define @t38 () (tptp.cS @t7)) % 120.76/121.34 (define @t39 () (tptp.cS @t9)) % 120.76/121.34 (define @t40 () (tptp.cS @t39)) % 120.76/121.34 (define @t41 () (tptp.cHALF @t40 @t38)) % 120.76/121.34 (define @t42 () (tptp.cHALF @t9 @t7)) % 120.76/121.34 (define @t43 () (forall @t14 (or (not @t42) @t41))) % 120.76/121.34 (define @t44 () (tptp.cS tptp.c0)) % 120.76/121.34 (define @t45 () (tptp.cHALF tptp.c0 @t44)) % 120.76/121.34 (define @t46 () (tptp.cHALF tptp.c0 tptp.c0)) % 120.76/121.34 (define @t47 () (_ @t20 @t1 @t2)) % 120.76/121.34 (define @t48 () (tptp.cS @t38)) % 120.76/121.34 (define @t49 () (_ @t20 @t39 @t48)) % 120.76/121.34 (define @t50 () (_ @t20 @t9 @t7)) % 120.76/121.34 (define @t51 () (forall @t14 (or (not @t50) @t49))) % 120.76/121.34 (define @t52 () (not @t51)) % 120.76/121.34 (define @t53 () (_ @t20 tptp.c0 tptp.c0)) % 120.76/121.34 (define @t54 () (forall @t29 (or @t36 (not @t53) @t52 @t47))) % 120.76/121.34 (define @t55 () (and @t54 @t19 @t18 @t43)) % 120.76/121.34 (define @t56 () (=> @t55 @t37)) % 120.76/121.34 (define @t57 () (not @t4)) % 120.76/121.34 (define @t58 () (or @t57 @t3)) % 120.76/121.34 (define @t59 () (not @t13)) % 120.76/121.34 (define @t60 () (or @t59 @t12)) % 120.76/121.34 (define @t61 () (not @t26)) % 120.76/121.34 (define @t62 () (or @t57 @t61 @t52 @t21)) % 120.76/121.34 (define @t63 () (or @t57 @t61 @t52)) % 120.76/121.34 (define @t64 () (and @t4 @t26 @t51)) % 120.76/121.34 (define @t65 () (not @t24)) % 120.76/121.34 (define @t66 () (or @t65 @t23)) % 120.76/121.34 (define @t67 () (@quantifiers_skolemize @t37 1)) % 120.76/121.34 (define @t68 () (@quantifiers_skolemize @t37 0)) % 120.76/121.34 (define @t69 () (tptp.cDOUBLE @t68 @t67)) % 120.76/121.34 (define @t70 () (tptp.cHALF @t67 @t68)) % 120.76/121.34 (define @t71 () (not @t69)) % 120.76/121.34 (define @t72 () (or @t71 @t70)) % 120.76/121.34 (define @t73 () (@list true)) % 120.76/121.34 (define @t74 () (@list @t72)) % 120.76/121.34 (define @t75 () (tptp.cHALF @t48 @t39)) % 120.76/121.34 (define @t76 () (tptp.cHALF @t7 @t9)) % 120.76/121.34 (define @t77 () (or (not @t76) @t75)) % 120.76/121.34 (define @t78 () (forall @t14 @t77)) % 120.76/121.34 (define @t79 () (@var "BOUND_VARIABLE_55002" $$unsorted)) % 120.76/121.34 (define @t80 () (@var "BOUND_VARIABLE_55001" $$unsorted)) % 120.76/121.34 (define @t81 () (@list @t80 @t79)) % 120.76/121.34 (define @t82 () (@list false)) % 120.76/121.34 (define @t83 () (@var "BOUND_VARIABLE_7735" $$unsorted)) % 120.76/121.34 (define @t84 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 120.76/121.34 (define @t85 () (lambda (@list @t83 @t84) (tptp.cHALF @t84 @t83))) % 120.76/121.34 (define @t86 () (_ @t85 @t68 @t67)) % 120.76/121.34 (define @t87 () (_ @t85 @t39 @t48)) % 120.76/121.34 (define @t88 () (_ @t85 @t9 @t7)) % 120.76/121.34 (define @t89 () (not @t88)) % 120.76/121.34 (define @t90 () (or @t89 @t87)) % 120.76/121.34 (define @t91 () (forall @t14 @t90)) % 120.76/121.34 (define @t92 () (not @t91)) % 120.76/121.34 (define @t93 () (_ @t85 tptp.c0 tptp.c0)) % 120.76/121.34 (define @t94 () (not @t93)) % 120.76/121.34 (define @t95 () (or @t71 @t94 @t92 @t86)) % 120.76/121.34 (define @t96 () (not @t78)) % 120.76/121.34 (define @t97 () (not @t46)) % 120.76/121.34 (define @t98 () (or @t71 @t97 @t96 @t70)) % 120.76/121.34 (assume @p1 @t33) % 120.76/121.34 (assume @p2 true) % 120.76/121.34 (step @p3 :rule refl :args (@t37)) % 120.76/121.34 (step @p4 :rule refl :args (@t43)) % 120.76/121.34 (step @p5 :rule refl :args ((tptp.cHALF tptp.c0 @t16))) % 120.76/121.34 (step @p6 :rule refl :args (@t44)) % 120.76/121.34 (step @p7 :rule refl :args (tptp.c0)) % 120.76/121.34 (step @p8 :rule cong :premises (@p7 @p6) :args (@t45)) % 120.76/121.34 (step @p9 :rule trans :premises (@p8 @p5)) % 120.76/121.34 (step @p10 :rule refl :args (@t17)) % 120.76/121.34 (step @p11 :rule ho_cong :premises (@p10 @p6)) % 120.76/121.34 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ @t17 @t44) @t45))) % 120.76/121.34 (step @p13 :rule symm :premises (@p12)) % 120.76/121.34 (step @p14 :rule refl :args (@t18)) % 120.76/121.34 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 120.76/121.34 (step @p16 :rule refl :args (@t16)) % 120.76/121.34 (step @p17 :rule cong :premises (@p16 @p6) :args ((= @t16 @t44))) % 120.76/121.34 (step @p18 :rule symm :premises (@p17)) % 120.76/121.34 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 120.76/121.34 (step @p20 :rule refl :args (@t17)) % 120.76/121.34 (step @p21 :rule ho_cong :premises (@p20 @p19)) % 120.76/121.34 (step @p22 :rule trans :premises (@p21 @p15)) % 120.76/121.34 (step @p23 :rule refl :args (@t46)) % 120.76/121.34 (step @p24 :rule refl :args (@t19)) % 120.76/121.34 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t19 @t46))) % 120.76/121.34 (step @p26 :rule symm :premises (@p25)) % 120.76/121.34 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 120.76/121.34 (step @p28 :rule refl :args (@t54)) % 120.76/121.34 (step @p29 :rule nary_cong :premises (@p28 @p27 @p22 @p4) :args (@t55)) % 120.76/121.34 (step @p30 :rule cong :premises (@p29 @p3) :args (@t56)) % 120.76/121.34 (step @p31 :rule cong :premises (@p30) :args ((not @t56))) % 120.76/121.34 (step @p32 :rule refl :args (@t34)) % 120.76/121.34 (step @p33 :rule refl :args (@t3)) % 120.76/121.34 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t3 @t34))) % 120.76/121.34 (step @p35 :rule symm :premises (@p34)) % 120.76/121.34 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 120.76/121.34 (step @p37 :rule refl :args (@t35)) % 120.76/121.34 (step @p38 :rule refl :args (@t4)) % 120.76/121.34 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t4 @t35))) % 120.76/121.34 (step @p40 :rule symm :premises (@p39)) % 120.76/121.34 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 120.76/121.34 (step @p42 :rule cong :premises (@p41) :args (@t57)) % 120.76/121.34 (step @p43 :rule nary_cong :premises (@p42 @p36) :args (@t58)) % 120.76/121.34 (step @p44 :rule cong :premises (@p43) :args ((forall @t5 @t58))) % 120.76/121.34 (step @p45 :rule bool-impl-elim :args (@t4 @t3)) % 120.76/121.34 (step @p46 :rule cong :premises (@p45) :args (@t6)) % 120.76/121.34 (step @p47 :rule trans :premises (@p46 @p44)) % 120.76/121.34 (step @p48 :rule refl :args ((tptp.cHALF @t11 @t8))) % 120.76/121.34 (step @p49 :rule refl :args (@t38)) % 120.76/121.34 (step @p50 :rule refl :args ((tptp.cS @t10))) % 120.76/121.34 (step @p51 :rule refl :args (@t39)) % 120.76/121.34 (step @p52 :rule cong :premises (@p51) :args (@t40)) % 120.76/121.34 (step @p53 :rule trans :premises (@p52 @p50)) % 120.76/121.34 (step @p54 :rule cong :premises (@p53 @p49) :args (@t41)) % 120.76/121.34 (step @p55 :rule trans :premises (@p54 @p48)) % 120.76/121.34 (step @p56 :rule refl :args (tptp.cHALF)) % 120.76/121.34 (step @p57 :rule ho_cong :premises (@p56 @p53)) % 120.76/121.34 (step @p58 :rule ho_cong :premises (@p57 @p49)) % 120.76/121.34 (step @p59 :rule cong :premises (@p58 @p55) :args ((= (_ (_ tptp.cHALF @t40) @t38) @t41))) % 120.76/121.34 (step @p60 :rule symm :premises (@p59)) % 120.76/121.34 (step @p61 :rule refl :args (@t12)) % 120.76/121.34 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 120.76/121.34 (step @p63 :rule refl :args (@t8)) % 120.76/121.34 (step @p64 :rule cong :premises (@p63 @p49) :args ((= @t8 @t38))) % 120.76/121.34 (step @p65 :rule symm :premises (@p64)) % 120.76/121.34 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 120.76/121.34 (step @p67 :rule refl :args (tptp.cS)) % 120.76/121.34 (step @p68 :rule ho_cong :premises (@p67 @p51)) % 120.76/121.34 (step @p69 :rule cong :premises (@p68 @p53) :args ((= (_ tptp.cS @t39) @t40))) % 120.76/121.34 (step @p70 :rule symm :premises (@p69)) % 120.76/121.34 (step @p71 :rule refl :args (@t11)) % 120.76/121.34 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 120.76/121.34 (step @p73 :rule refl :args (@t10)) % 120.76/121.34 (step @p74 :rule cong :premises (@p73 @p51) :args ((= @t10 @t39))) % 120.76/121.34 (step @p75 :rule symm :premises (@p74)) % 120.76/121.34 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 120.76/121.34 (step @p77 :rule ho_cong :premises (@p67 @p76)) % 120.76/121.34 (step @p78 :rule trans :premises (@p77 @p72)) % 120.76/121.34 (step @p79 :rule ho_cong :premises (@p56 @p78)) % 120.76/121.34 (step @p80 :rule ho_cong :premises (@p79 @p66)) % 120.76/121.34 (step @p81 :rule trans :premises (@p80 @p62)) % 120.76/121.34 (step @p82 :rule refl :args (@t42)) % 120.76/121.34 (step @p83 :rule refl :args (@t13)) % 120.76/121.34 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t13 @t42))) % 120.76/121.34 (step @p85 :rule symm :premises (@p84)) % 120.76/121.34 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 120.76/121.34 (step @p87 :rule cong :premises (@p86) :args (@t59)) % 120.76/121.34 (step @p88 :rule nary_cong :premises (@p87 @p81) :args (@t60)) % 120.76/121.34 (step @p89 :rule cong :premises (@p88) :args ((forall @t14 @t60))) % 120.76/121.34 (step @p90 :rule bool-impl-elim :args (@t13 @t12)) % 120.76/121.34 (step @p91 :rule cong :premises (@p90) :args (@t15)) % 120.76/121.34 (step @p92 :rule trans :premises (@p91 @p89)) % 120.76/121.34 (step @p93 :rule refl :args (@t18)) % 120.76/121.34 (step @p94 :rule refl :args (@t19)) % 120.76/121.34 (step @p95 :rule refl :args (@t47)) % 120.76/121.34 (step @p96 :rule refl :args (@t21)) % 120.76/121.34 (step @p97 :rule cong :premises (@p96 @p95) :args ((= @t21 @t47))) % 120.76/121.34 (step @p98 :rule symm :premises (@p97)) % 120.76/121.34 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 120.76/121.34 (step @p100 :rule refl :args (@t52)) % 120.76/121.34 (step @p101 :rule refl :args (@t53)) % 120.76/121.34 (step @p102 :rule refl :args (@t26)) % 120.76/121.34 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t26 @t53))) % 120.76/121.34 (step @p104 :rule symm :premises (@p103)) % 120.76/121.34 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 120.76/121.34 (step @p106 :rule cong :premises (@p105) :args (@t61)) % 120.76/121.34 (step @p107 :rule nary_cong :premises (@p42 @p106 @p100 @p99) :args (@t62)) % 120.76/121.34 (step @p108 :rule cong :premises (@p107) :args ((forall @t29 @t62))) % 120.76/121.34 (step @p109 :rule aci_norm :args ((= (or @t63 @t21) @t62))) % 120.76/121.34 (step @p110 :rule aci_norm :args ((= (or @t57 (or @t61 @t52)) @t63))) % 120.76/121.34 (step @p111 :rule bool-and-de-morgan :args (@t26 @t51 true)) % 120.76/121.34 (step @p112 :rule refl :args (@t57)) % 120.76/121.34 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t57 (not (and @t26 @t51))))) % 120.76/121.34 (step @p114 :rule bool-and-de-morgan :args (@t4 @t26 (and @t51))) % 120.76/121.34 (step @p115 :rule trans :premises (@p114 @p113)) % 120.76/121.34 (step @p116 :rule trans :premises (@p115 @p110)) % 120.76/121.34 (step @p117 :rule nary_cong :premises (@p116 @p96) :args ((or (not @t64) @t21))) % 120.76/121.34 (step @p118 :rule trans :premises (@p117 @p109)) % 120.76/121.34 (step @p119 :rule bool-impl-elim :args (@t64 @t21)) % 120.76/121.34 (step @p120 :rule trans :premises (@p119 @p118)) % 120.76/121.34 (step @p121 :rule cong :premises (@p120) :args ((forall @t29 (=> @t64 @t21)))) % 120.76/121.34 (step @p122 :rule trans :premises (@p121 @p108)) % 120.76/121.34 (step @p123 :rule refl :args (@t21)) % 120.76/121.34 (step @p124 :rule refl :args ((_ @t20 @t10 @t22))) % 120.76/121.34 (step @p125 :rule refl :args ((tptp.cS @t8))) % 120.76/121.34 (step @p126 :rule cong :premises (@p49) :args (@t48)) % 120.76/121.34 (step @p127 :rule trans :premises (@p126 @p125)) % 120.76/121.34 (step @p128 :rule cong :premises (@p51 @p127) :args (@t49)) % 120.76/121.34 (step @p129 :rule trans :premises (@p128 @p124)) % 120.76/121.34 (step @p130 :rule refl :args (@t20)) % 120.76/121.34 (step @p131 :rule ho_cong :premises (@p130 @p51)) % 120.76/121.34 (step @p132 :rule ho_cong :premises (@p131 @p127)) % 120.76/121.34 (step @p133 :rule cong :premises (@p132 @p129) :args ((= (_ (_ @t20 @t39) @t48) @t49))) % 120.76/121.34 (step @p134 :rule symm :premises (@p133)) % 120.76/121.34 (step @p135 :rule refl :args (@t23)) % 120.76/121.34 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 120.76/121.34 (step @p137 :rule ho_cong :premises (@p67 @p49)) % 120.76/121.34 (step @p138 :rule cong :premises (@p137 @p127) :args ((= (_ tptp.cS @t38) @t48))) % 120.76/121.34 (step @p139 :rule symm :premises (@p138)) % 120.76/121.34 (step @p140 :rule refl :args (@t22)) % 120.76/121.34 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 120.76/121.34 (step @p142 :rule ho_cong :premises (@p67 @p66)) % 120.76/121.34 (step @p143 :rule trans :premises (@p142 @p141)) % 120.76/121.34 (step @p144 :rule ho_cong :premises (@p130 @p76)) % 120.76/121.34 (step @p145 :rule ho_cong :premises (@p144 @p143)) % 120.76/121.34 (step @p146 :rule trans :premises (@p145 @p136)) % 120.76/121.34 (step @p147 :rule refl :args (@t50)) % 120.76/121.34 (step @p148 :rule refl :args (@t24)) % 120.76/121.34 (step @p149 :rule cong :premises (@p148 @p147) :args ((= @t24 @t50))) % 120.76/121.34 (step @p150 :rule symm :premises (@p149)) % 120.76/121.34 (step @p151 :rule eq_resolve :premises (@p148 @p150)) % 120.76/121.34 (step @p152 :rule cong :premises (@p151) :args (@t65)) % 120.76/121.34 (step @p153 :rule nary_cong :premises (@p152 @p146) :args (@t66)) % 120.76/121.34 (step @p154 :rule cong :premises (@p153) :args ((forall @t14 @t66))) % 120.76/121.34 (step @p155 :rule bool-impl-elim :args (@t24 @t23)) % 120.76/121.34 (step @p156 :rule cong :premises (@p155) :args (@t25)) % 120.76/121.35 (step @p157 :rule trans :premises (@p156 @p154)) % 120.76/121.35 (step @p158 :rule refl :args (@t26)) % 120.76/121.35 (step @p159 :rule refl :args (@t4)) % 120.76/121.35 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args (@t27)) % 120.76/121.35 (step @p161 :rule cong :premises (@p160 @p123) :args (@t28)) % 120.76/121.35 (step @p162 :rule cong :premises (@p161) :args (@t30)) % 120.76/121.35 (step @p163 :rule trans :premises (@p162 @p122)) % 120.76/121.35 (step @p164 :rule nary_cong :premises (@p163 @p94 @p93 @p92) :args (@t31)) % 120.76/121.35 (step @p165 :rule cong :premises (@p164 @p47) :args (@t32)) % 120.76/121.35 (step @p166 :rule cong :premises (@p165) :args (@t33)) % 120.76/121.35 (step @p167 :rule trans :premises (@p166 @p31)) % 120.76/121.35 (step @p168 :rule eq_resolve :premises (@p1 @p167)) % 120.76/121.35 (step @p169 :rule not_implies_elim1 :premises (@p168)) % 120.76/121.35 (step @p170 :rule and_elim :premises (@p169) :args (1)) % 120.76/121.35 (step @p171 :rule not_implies_elim2 :premises (@p168)) % 120.76/121.35 (step @p172 :rule skolemize :premises (@p171)) % 120.76/121.35 (step @p173 :rule bool-double-not-elim :args (@t69)) % 120.76/121.35 (step @p174 :rule refl :args (@t72)) % 120.76/121.35 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t72 (not @t71)))) % 120.76/121.35 (step @p176 :rule cnf_or_neg :args (@t72 0)) % 120.76/121.35 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 120.76/121.35 (step @p178 :rule reordering :premises (@p177) :args ((or @t69 @t72))) % 120.76/121.35 (step @p179 :rule chain_m_resolution :premises (@p178 @p172) :args (@t69 @t73 @t74)) % 120.76/121.35 (step @p180 :rule cnf_or_neg :args (@t72 1)) % 120.76/121.35 (step @p181 :rule chain_m_resolution :premises (@p180 @p172) :args ((not @t70) @t73 @t74)) % 120.76/121.35 (step @p182 :rule and_elim :premises (@p169) :args (3)) % 120.76/121.35 (step @p183 :rule quant_var_reordering :args ((= (forall (@list @t7 @t9) @t77) @t78))) % 120.76/121.35 (step @p184 :rule alpha_equiv :args ((forall (@list @t80 @t79) (or (not (tptp.cHALF @t80 @t79)) (tptp.cHALF (tptp.cS (tptp.cS @t80)) (tptp.cS @t79)))) @t81 (@list @t7 @t9))) % 120.76/121.35 (step @p185 :rule alpha_equiv :args (@t43 (@list @t9 @t7) @t81)) % 120.76/121.35 (step @p186 :rule trans :premises (@p185 @p184 @p183)) % 120.76/121.35 (step @p187 :rule equiv_elim1 :premises (@p186)) % 120.76/121.35 (step @p188 :rule chain_m_resolution :premises (@p187 @p182) :args (@t78 @t82 (@list @t43))) % 120.76/121.35 (step @p189 :rule and_elim :premises (@p169) :args (0)) % 120.76/121.35 (step @p190 :rule beta-reduce :args ((= @t86 @t70))) % 120.76/121.35 (step @p191 :rule beta-reduce :args ((= @t87 @t75))) % 120.76/121.35 (step @p192 :rule beta-reduce :args ((= @t88 @t76))) % 120.76/121.35 (step @p193 :rule cong :premises (@p192) :args (@t89)) % 120.76/121.35 (step @p194 :rule nary_cong :premises (@p193 @p191) :args (@t90)) % 120.76/121.35 (step @p195 :rule cong :premises (@p194) :args (@t91)) % 120.76/121.35 (step @p196 :rule cong :premises (@p195) :args (@t92)) % 120.76/121.35 (step @p197 :rule beta-reduce :args ((= @t93 @t46))) % 120.76/121.35 (step @p198 :rule cong :premises (@p197) :args (@t94)) % 120.76/121.35 (step @p199 :rule refl :args (@t71)) % 120.76/121.35 (step @p200 :rule nary_cong :premises (@p199 @p198 @p196 @p190) :args (@t95)) % 120.76/121.35 (step @p201 :rule cong :premises (@p28 @p200) :args ((=> @t54 @t95))) % 120.76/121.35 (assume-push @p212 @t54) % 120.76/121.35 (step @p203 :rule instantiate :premises (@p189) :args ((@list @t85 @t68 @t67))) % 120.76/121.35 (step-pop @p213 :rule scope :premises (@p203)) % 120.76/121.35 (step @p204 :rule process_scope :premises (@p213) :args (@t95)) % 120.76/121.35 (step @p206 :rule eq_resolve :premises (@p204 @p201)) % 120.76/121.35 (step @p207 :rule implies_elim :premises (@p206)) % 120.76/121.35 (step @p208 :rule chain_m_resolution :premises (@p207 @p189) :args (@t98 @t82 (@list @t54))) % 120.76/121.35 (step @p209 :rule cnf_or_pos :args (@t98)) % 120.76/121.35 (step @p210 :rule reordering :premises (@p209) :args ((or @t97 @t71 @t70 @t96 (not @t98)))) % 120.76/121.35 (step @p211 false :rule chain_m_resolution :premises (@p210 @p208 @p188 @p181 @p179 @p170) :args (false (@list false false true false false) (@list @t98 @t78 @t70 @t69 @t46))) % 120.76/121.35 ) % 120.76/121.35 % SZS output end Proof % 120.76/121.35 % cvc5 exiting %------------------------------------------------------------------------------