%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU723^2 : TPTP v9.2.1. Released v3.7.0. % 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 08:52:53 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU723^2 : TPTP v9.2.1. Released v3.7.0. % 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 17:49:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.36/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.setminusER Bool) % 0.36/0.60 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.subsetE Bool) % 0.36/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.60 (define @t2 () (@var "Xx" $$unsorted)) % 0.36/0.60 (define @t3 () (_ tptp.in @t2)) % 0.36/0.60 (define @t4 () (_ @t3 @t1)) % 0.36/0.60 (define @t5 () (@var "A" $$unsorted)) % 0.36/0.60 (define @t6 () (_ @t3 @t5)) % 0.36/0.60 (define @t7 () (=> @t6 @t4)) % 0.36/0.60 (define @t8 () (_ (_ tptp.subset @t5) @t1)) % 0.36/0.60 (define @t9 () (@list @t5 @t1 @t2)) % 0.36/0.60 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.36/0.60 (define @t11 () (= tptp.subsetE @t10)) % 0.36/0.60 (define @t12 () (not @t4)) % 0.36/0.60 (define @t13 () (_ tptp.setminus @t5)) % 0.36/0.60 (define @t14 () (_ @t13 @t1)) % 0.36/0.60 (define @t15 () (_ @t3 @t14)) % 0.36/0.60 (define @t16 () (forall @t9 (=> @t15 @t12))) % 0.36/0.60 (define @t17 () (= tptp.setminusER @t16)) % 0.36/0.60 (define @t18 () (@var "X" $$unsorted)) % 0.36/0.60 (define @t19 () (_ @t3 @t18)) % 0.36/0.60 (define @t20 () (not @t19)) % 0.36/0.60 (define @t21 () (@var "Y" $$unsorted)) % 0.36/0.60 (define @t22 () (_ @t3 @t21)) % 0.36/0.60 (define @t23 () (=> @t22 @t20)) % 0.36/0.60 (define @t24 () (_ @t13 @t21)) % 0.36/0.60 (define @t25 () (_ tptp.subset @t18)) % 0.36/0.60 (define @t26 () (_ @t25 @t24)) % 0.36/0.60 (define @t27 () (=> @t26 @t23)) % 0.36/0.60 (define @t28 () (@list @t2)) % 0.36/0.60 (define @t29 () (forall @t28 (=> @t6 @t27))) % 0.36/0.60 (define @t30 () (_ tptp.powerset @t5)) % 0.36/0.60 (define @t31 () (_ tptp.in @t21)) % 0.36/0.60 (define @t32 () (_ @t31 @t30)) % 0.36/0.60 (define @t33 () (=> @t32 @t29)) % 0.36/0.60 (define @t34 () (@list @t21)) % 0.36/0.60 (define @t35 () (forall @t34 @t33)) % 0.36/0.60 (define @t36 () (_ tptp.in @t18)) % 0.36/0.60 (define @t37 () (_ @t36 @t30)) % 0.36/0.60 (define @t38 () (=> @t37 @t35)) % 0.36/0.60 (define @t39 () (@list @t5 @t18)) % 0.36/0.60 (define @t40 () (forall @t39 @t38)) % 0.36/0.60 (define @t41 () (=> tptp.setminusER @t40)) % 0.36/0.60 (define @t42 () (=> tptp.subsetE @t41)) % 0.36/0.60 (define @t43 () (not @t42)) % 0.36/0.60 (define @t44 () (@var "BOUND_VARIABLE_7546" $$unsorted)) % 0.36/0.60 (define @t45 () (not (tptp.in @t44 @t18))) % 0.36/0.60 (define @t46 () (@var "BOUND_VARIABLE_7544" $$unsorted)) % 0.36/0.60 (define @t47 () (not (tptp.in @t44 @t46))) % 0.36/0.60 (define @t48 () (not (tptp.in @t44 @t5))) % 0.36/0.60 (define @t49 () (not (tptp.subset @t18 (tptp.setminus @t5 @t46)))) % 0.36/0.60 (define @t50 () (tptp.powerset @t5)) % 0.36/0.60 (define @t51 () (not (tptp.in @t46 @t50))) % 0.36/0.60 (define @t52 () (tptp.in @t18 @t50)) % 0.36/0.60 (define @t53 () (not @t52)) % 0.36/0.60 (define @t54 () (or @t53 @t51 @t49 @t48 @t47 @t45)) % 0.36/0.60 (define @t55 () (@list @t5 @t18 @t46 @t44)) % 0.36/0.60 (define @t56 () (forall @t55 @t54)) % 0.36/0.60 (define @t57 () (tptp.in @t2 @t1)) % 0.36/0.60 (define @t58 () (tptp.setminus @t5 @t1)) % 0.36/0.60 (define @t59 () (tptp.in @t2 @t58)) % 0.36/0.60 (define @t60 () (not @t15)) % 0.36/0.60 (define @t61 () (or @t60 @t12)) % 0.36/0.60 (define @t62 () (=> tptp.setminusER @t56)) % 0.36/0.60 (define @t63 () (tptp.in @t2 @t5)) % 0.36/0.60 (define @t64 () (not @t6)) % 0.36/0.60 (define @t65 () (tptp.subset @t5 @t1)) % 0.36/0.60 (define @t66 () (not @t8)) % 0.36/0.60 (define @t67 () (or @t66 @t64 @t4)) % 0.36/0.60 (define @t68 () (=> tptp.subsetE @t62)) % 0.36/0.60 (define @t69 () (or @t51 @t49 @t48 @t47 @t45)) % 0.36/0.60 (define @t70 () (or @t53 @t69)) % 0.36/0.60 (define @t71 () (forall @t55 @t70)) % 0.36/0.60 (define @t72 () (@list @t46 @t44)) % 0.36/0.60 (define @t73 () (forall @t72 @t70)) % 0.36/0.60 (define @t74 () (forall @t72 @t69)) % 0.36/0.60 (define @t75 () (@var "BOUND_VARIABLE_7520" $$unsorted)) % 0.36/0.60 (define @t76 () (or @t53 @t74)) % 0.36/0.60 (define @t77 () (not (tptp.in @t75 @t18))) % 0.36/0.60 (define @t78 () (not (tptp.in @t75 @t21))) % 0.36/0.60 (define @t79 () (not (tptp.in @t75 @t5))) % 0.36/0.60 (define @t80 () (tptp.setminus @t5 @t21)) % 0.36/0.60 (define @t81 () (tptp.subset @t18 @t80)) % 0.36/0.60 (define @t82 () (not @t81)) % 0.36/0.60 (define @t83 () (tptp.in @t21 @t50)) % 0.36/0.60 (define @t84 () (not @t83)) % 0.36/0.60 (define @t85 () (or @t84 @t82 @t79 @t78 @t77)) % 0.36/0.60 (define @t86 () (@list @t21 @t75)) % 0.36/0.60 (define @t87 () (forall @t86 @t85)) % 0.36/0.60 (define @t88 () (not @t37)) % 0.36/0.60 (define @t89 () (or @t88 @t87)) % 0.36/0.60 (define @t90 () (or @t79 @t78 @t77)) % 0.36/0.60 (define @t91 () (or @t84 @t82 @t90)) % 0.36/0.60 (define @t92 () (forall @t86 @t91)) % 0.36/0.60 (define @t93 () (@list @t75)) % 0.36/0.60 (define @t94 () (forall @t93 @t91)) % 0.36/0.60 (define @t95 () (forall @t93 @t90)) % 0.36/0.60 (define @t96 () (or @t84 @t82 @t95)) % 0.36/0.60 (define @t97 () (tptp.in @t2 @t18)) % 0.36/0.60 (define @t98 () (tptp.in @t2 @t21)) % 0.36/0.60 (define @t99 () (forall @t28 (or (not @t63) (not @t98) (not @t97)))) % 0.36/0.60 (define @t100 () (not @t26)) % 0.36/0.60 (define @t101 () (not @t32)) % 0.36/0.60 (define @t102 () (or @t101 @t100 @t99)) % 0.36/0.60 (define @t103 () (or @t100 @t99)) % 0.36/0.60 (define @t104 () (not @t22)) % 0.36/0.60 (define @t105 () (or @t64 @t104 @t20)) % 0.36/0.60 (define @t106 () (forall @t28 @t105)) % 0.36/0.60 (define @t107 () (or @t100 @t106)) % 0.36/0.60 (define @t108 () (or @t100 @t105)) % 0.36/0.60 (define @t109 () (or @t64 @t100 @t104 @t20)) % 0.36/0.60 (define @t110 () (or @t100 @t104 @t20)) % 0.36/0.60 (define @t111 () (@quantifiers_skolemize @t56 3)) % 0.36/0.60 (define @t112 () (@quantifiers_skolemize @t56 2)) % 0.36/0.60 (define @t113 () (@quantifiers_skolemize @t56 0)) % 0.36/0.60 (define @t114 () (tptp.setminus @t113 @t112)) % 0.36/0.60 (define @t115 () (@quantifiers_skolemize @t56 1)) % 0.36/0.60 (define @t116 () (tptp.in @t111 @t115)) % 0.36/0.60 (define @t117 () (not @t116)) % 0.36/0.60 (define @t118 () (tptp.in @t111 @t112)) % 0.36/0.60 (define @t119 () (not @t118)) % 0.36/0.60 (define @t120 () (tptp.subset @t115 @t114)) % 0.36/0.60 (define @t121 () (not @t120)) % 0.36/0.60 (define @t122 () (tptp.powerset @t113)) % 0.36/0.60 (define @t123 () (or (not (tptp.in @t115 @t122)) (not (tptp.in @t112 @t122)) @t121 (not (tptp.in @t111 @t113)) @t119 @t117)) % 0.36/0.60 (define @t124 () (@list true)) % 0.36/0.60 (define @t125 () (@list @t123)) % 0.36/0.60 (define @t126 () (tptp.in @t111 @t114)) % 0.36/0.60 (define @t127 () (or @t121 @t117 @t126)) % 0.36/0.60 (define @t128 () (not @t126)) % 0.36/0.60 (define @t129 () (or @t128 @t119)) % 0.36/0.60 (define @t130 () (not @t129)) % 0.36/0.60 (define @t131 () (forall @t9 (or (not @t59) (not @t57)))) % 0.36/0.60 (assume @p1 @t11) % 0.36/0.60 (assume @p2 @t17) % 0.36/0.60 (assume @p3 @t43) % 0.36/0.60 (assume @p4 true) % 0.36/0.60 (step @p5 :rule refl :args (@t56)) % 0.36/0.60 (step @p6 :rule refl :args (@t57)) % 0.36/0.60 (step @p7 :rule refl :args (@t4)) % 0.36/0.60 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t4 @t57))) % 0.36/0.60 (step @p9 :rule symm :premises (@p8)) % 0.36/0.60 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.36/0.60 (step @p11 :rule cong :premises (@p10) :args (@t12)) % 0.36/0.60 (step @p12 :rule refl :args ((tptp.in @t2 @t14))) % 0.36/0.60 (step @p13 :rule refl :args (@t58)) % 0.36/0.60 (step @p14 :rule refl :args (@t2)) % 0.36/0.60 (step @p15 :rule cong :premises (@p14 @p13) :args (@t59)) % 0.36/0.60 (step @p16 :rule trans :premises (@p15 @p12)) % 0.36/0.60 (step @p17 :rule refl :args (@t3)) % 0.36/0.60 (step @p18 :rule ho_cong :premises (@p17 @p13)) % 0.36/0.60 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t3 @t58) @t59))) % 0.36/0.60 (step @p20 :rule symm :premises (@p19)) % 0.36/0.60 (step @p21 :rule refl :args (@t15)) % 0.36/0.60 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.36/0.60 (step @p23 :rule refl :args (@t14)) % 0.36/0.60 (step @p24 :rule cong :premises (@p23 @p13) :args ((= @t14 @t58))) % 0.36/0.60 (step @p25 :rule symm :premises (@p24)) % 0.36/0.60 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.36/0.60 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 0.36/0.60 (step @p28 :rule trans :premises (@p27 @p22)) % 0.36/0.60 (step @p29 :rule cong :premises (@p28) :args (@t60)) % 0.36/0.60 (step @p30 :rule nary_cong :premises (@p29 @p11) :args (@t61)) % 0.36/0.60 (step @p31 :rule cong :premises (@p30) :args ((forall @t9 @t61))) % 0.36/0.60 (step @p32 :rule bool-impl-elim :args (@t15 @t12)) % 0.36/0.60 (step @p33 :rule cong :premises (@p32) :args (@t16)) % 0.36/0.60 (step @p34 :rule trans :premises (@p33 @p31)) % 0.36/0.60 (step @p35 :rule refl :args (tptp.setminusER)) % 0.36/0.60 (step @p36 :rule cong :premises (@p35 @p34) :args (@t17)) % 0.36/0.60 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 0.36/0.60 (step @p38 :rule cong :premises (@p37 @p5) :args (@t62)) % 0.36/0.60 (step @p39 :rule refl :args (@t63)) % 0.36/0.60 (step @p40 :rule refl :args (@t6)) % 0.36/0.60 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t6 @t63))) % 0.36/0.60 (step @p42 :rule symm :premises (@p41)) % 0.36/0.60 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.36/0.60 (step @p44 :rule cong :premises (@p43) :args (@t64)) % 0.36/0.60 (step @p45 :rule refl :args (@t65)) % 0.36/0.60 (step @p46 :rule refl :args (@t8)) % 0.36/0.60 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t8 @t65))) % 0.36/0.60 (step @p48 :rule symm :premises (@p47)) % 0.36/0.60 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.36/0.60 (step @p50 :rule cong :premises (@p49) :args (@t66)) % 0.36/0.60 (step @p51 :rule nary_cong :premises (@p50 @p44 @p10) :args (@t67)) % 0.36/0.60 (step @p52 :rule cong :premises (@p51) :args ((forall @t9 @t67))) % 0.36/0.60 (step @p53 :rule aci_norm :args ((= (or @t66 (or @t64 @t4)) @t67))) % 0.36/0.60 (step @p54 :rule bool-impl-elim :args (@t6 @t4)) % 0.36/0.60 (step @p55 :rule refl :args (@t66)) % 0.36/0.60 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t66 @t7))) % 0.36/0.60 (step @p57 :rule trans :premises (@p56 @p53)) % 0.36/0.60 (step @p58 :rule bool-impl-elim :args (@t8 @t7)) % 0.36/0.60 (step @p59 :rule trans :premises (@p58 @p57)) % 0.36/0.60 (step @p60 :rule cong :premises (@p59) :args (@t10)) % 0.36/0.60 (step @p61 :rule trans :premises (@p60 @p52)) % 0.36/0.60 (step @p62 :rule refl :args (tptp.subsetE)) % 0.36/0.60 (step @p63 :rule cong :premises (@p62 @p61) :args (@t11)) % 0.36/0.60 (step @p64 :rule eq_resolve :premises (@p1 @p63)) % 0.36/0.60 (step @p65 :rule cong :premises (@p64 @p38) :args (@t68)) % 0.36/0.60 (step @p66 :rule cong :premises (@p65) :args ((not @t68))) % 0.36/0.60 (step @p67 :rule aci_norm :args ((= @t70 @t54))) % 0.36/0.60 (step @p68 :rule cong :premises (@p67) :args (@t71)) % 0.36/0.60 (step @p69 :rule quant-merge-prenex :args ((= (forall @t39 @t73) @t71))) % 0.36/0.60 (step @p70 :rule alpha_equiv :args (@t74 (@list @t46 @t44) (@list @t21 @t75))) % 0.36/0.60 (step @p71 :rule refl :args (@t53)) % 0.36/0.60 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t76)) % 0.36/0.60 (step @p73 :rule quant-miniscope-or :args ((= @t73 @t76))) % 0.36/0.60 (step @p74 :rule trans :premises (@p73 @p72)) % 0.36/0.60 (step @p75 :rule symm :premises (@p74)) % 0.36/0.60 (step @p76 :rule cong :premises (@p75) :args ((forall @t39 (or @t53 @t87)))) % 0.36/0.60 (step @p77 :rule trans :premises (@p76 @p69)) % 0.36/0.60 (step @p78 :rule trans :premises (@p77 @p68)) % 0.36/0.60 (step @p79 :rule refl :args (@t87)) % 0.36/0.60 (step @p80 :rule refl :args ((tptp.in @t18 @t30))) % 0.36/0.60 (step @p81 :rule refl :args (@t50)) % 0.36/0.60 (step @p82 :rule refl :args (@t18)) % 0.36/0.60 (step @p83 :rule cong :premises (@p82 @p81) :args (@t52)) % 0.36/0.60 (step @p84 :rule trans :premises (@p83 @p80)) % 0.36/0.60 (step @p85 :rule refl :args (@t36)) % 0.36/0.60 (step @p86 :rule ho_cong :premises (@p85 @p81)) % 0.36/0.60 (step @p87 :rule cong :premises (@p86 @p84) :args ((= (_ @t36 @t50) @t52))) % 0.36/0.60 (step @p88 :rule symm :premises (@p87)) % 0.36/0.60 (step @p89 :rule refl :args (@t37)) % 0.36/0.60 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.36/0.60 (step @p91 :rule refl :args (@t30)) % 0.36/0.60 (step @p92 :rule cong :premises (@p91 @p81) :args ((= @t30 @t50))) % 0.36/0.60 (step @p93 :rule symm :premises (@p92)) % 0.36/0.60 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.36/0.60 (step @p95 :rule ho_cong :premises (@p85 @p94)) % 0.36/0.60 (step @p96 :rule trans :premises (@p95 @p90)) % 0.36/0.60 (step @p97 :rule cong :premises (@p96) :args (@t88)) % 0.36/0.60 (step @p98 :rule nary_cong :premises (@p97 @p79) :args (@t89)) % 0.36/0.60 (step @p99 :rule cong :premises (@p98) :args ((forall @t39 @t89))) % 0.36/0.60 (step @p100 :rule trans :premises (@p99 @p78)) % 0.36/0.60 (step @p101 :rule bool-impl-elim :args (@t37 @t87)) % 0.36/0.60 (step @p102 :rule cong :premises (@p101) :args ((forall @t39 (=> @t37 @t87)))) % 0.36/0.60 (step @p103 :rule trans :premises (@p102 @p100)) % 0.36/0.60 (step @p104 :rule aci_norm :args ((= @t91 @t85))) % 0.36/0.60 (step @p105 :rule cong :premises (@p104) :args (@t92)) % 0.36/0.60 (step @p106 :rule quant-merge-prenex :args ((= (forall @t34 @t94) @t92))) % 0.36/0.60 (step @p107 :rule alpha_equiv :args (@t95 (@list @t75) (@list @t2))) % 0.36/0.60 (step @p108 :rule refl :args (@t82)) % 0.36/0.60 (step @p109 :rule refl :args (@t84)) % 0.36/0.60 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t96)) % 0.36/0.60 (step @p111 :rule quant-miniscope-or :args ((= @t94 @t96))) % 0.36/0.60 (step @p112 :rule trans :premises (@p111 @p110)) % 0.36/0.60 (step @p113 :rule symm :premises (@p112)) % 0.36/0.60 (step @p114 :rule cong :premises (@p113) :args ((forall @t34 (or @t84 @t82 @t99)))) % 0.36/0.60 (step @p115 :rule trans :premises (@p114 @p106)) % 0.36/0.60 (step @p116 :rule trans :premises (@p115 @p105)) % 0.36/0.60 (step @p117 :rule refl :args (@t99)) % 0.36/0.60 (step @p118 :rule refl :args ((tptp.subset @t18 @t24))) % 0.36/0.60 (step @p119 :rule refl :args (@t80)) % 0.36/0.60 (step @p120 :rule cong :premises (@p82 @p119) :args (@t81)) % 0.36/0.60 (step @p121 :rule trans :premises (@p120 @p118)) % 0.36/0.60 (step @p122 :rule refl :args (@t25)) % 0.36/0.60 (step @p123 :rule ho_cong :premises (@p122 @p119)) % 0.36/0.60 (step @p124 :rule cong :premises (@p123 @p121) :args ((= (_ @t25 @t80) @t81))) % 0.36/0.60 (step @p125 :rule symm :premises (@p124)) % 0.36/0.60 (step @p126 :rule refl :args (@t26)) % 0.36/0.60 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.36/0.60 (step @p128 :rule refl :args (@t24)) % 0.36/0.60 (step @p129 :rule cong :premises (@p128 @p119) :args ((= @t24 @t80))) % 0.36/0.60 (step @p130 :rule symm :premises (@p129)) % 0.36/0.60 (step @p131 :rule eq_resolve :premises (@p128 @p130)) % 0.36/0.60 (step @p132 :rule ho_cong :premises (@p122 @p131)) % 0.36/0.60 (step @p133 :rule trans :premises (@p132 @p127)) % 0.36/0.60 (step @p134 :rule cong :premises (@p133) :args (@t100)) % 0.36/0.60 (step @p135 :rule refl :args ((tptp.in @t21 @t30))) % 0.36/0.60 (step @p136 :rule refl :args (@t21)) % 0.36/0.60 (step @p137 :rule cong :premises (@p136 @p81) :args (@t83)) % 0.36/0.60 (step @p138 :rule trans :premises (@p137 @p135)) % 0.36/0.60 (step @p139 :rule refl :args (@t31)) % 0.36/0.60 (step @p140 :rule ho_cong :premises (@p139 @p81)) % 0.36/0.60 (step @p141 :rule cong :premises (@p140 @p138) :args ((= (_ @t31 @t50) @t83))) % 0.36/0.60 (step @p142 :rule symm :premises (@p141)) % 0.36/0.60 (step @p143 :rule refl :args (@t32)) % 0.36/0.60 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.36/0.60 (step @p145 :rule ho_cong :premises (@p139 @p94)) % 0.36/0.60 (step @p146 :rule trans :premises (@p145 @p144)) % 0.36/0.60 (step @p147 :rule cong :premises (@p146) :args (@t101)) % 0.36/0.60 (step @p148 :rule nary_cong :premises (@p147 @p134 @p117) :args (@t102)) % 0.36/0.60 (step @p149 :rule cong :premises (@p148) :args ((forall @t34 @t102))) % 0.36/0.60 (step @p150 :rule trans :premises (@p149 @p116)) % 0.36/0.60 (step @p151 :rule aci_norm :args ((= (or @t101 @t103) @t102))) % 0.36/0.60 (step @p152 :rule bool-impl-elim :args (@t32 @t103)) % 0.36/0.60 (step @p153 :rule trans :premises (@p152 @p151)) % 0.36/0.60 (step @p154 :rule cong :premises (@p153) :args ((forall @t34 (=> @t32 @t103)))) % 0.36/0.60 (step @p155 :rule trans :premises (@p154 @p150)) % 0.36/0.60 (step @p156 :rule refl :args (@t97)) % 0.36/0.60 (step @p157 :rule refl :args (@t19)) % 0.36/0.60 (step @p158 :rule cong :premises (@p157 @p156) :args ((= @t19 @t97))) % 0.36/0.60 (step @p159 :rule symm :premises (@p158)) % 0.36/0.60 (step @p160 :rule eq_resolve :premises (@p157 @p159)) % 0.36/0.60 (step @p161 :rule cong :premises (@p160) :args (@t20)) % 0.36/0.60 (step @p162 :rule refl :args (@t98)) % 0.36/0.60 (step @p163 :rule refl :args (@t22)) % 0.36/0.60 (step @p164 :rule cong :premises (@p163 @p162) :args ((= @t22 @t98))) % 0.36/0.60 (step @p165 :rule symm :premises (@p164)) % 0.36/0.60 (step @p166 :rule eq_resolve :premises (@p163 @p165)) % 0.36/0.60 (step @p167 :rule cong :premises (@p166) :args (@t104)) % 0.36/0.60 (step @p168 :rule nary_cong :premises (@p44 @p167 @p161) :args (@t105)) % 0.36/0.60 (step @p169 :rule cong :premises (@p168) :args (@t106)) % 0.36/0.60 (step @p170 :rule refl :args (@t100)) % 0.36/0.60 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t107)) % 0.36/0.60 (step @p172 :rule quant-miniscope-or :args ((= (forall @t28 @t108) @t107))) % 0.36/0.60 (step @p173 :rule aci_norm :args ((= @t109 @t108))) % 0.36/0.60 (step @p174 :rule cong :premises (@p173) :args ((forall @t28 @t109))) % 0.36/0.60 (step @p175 :rule trans :premises (@p174 @p172)) % 0.36/0.60 (step @p176 :rule trans :premises (@p175 @p171)) % 0.36/0.60 (step @p177 :rule aci_norm :args ((= (or @t64 @t110) @t109))) % 0.36/0.60 (step @p178 :rule aci_norm :args ((= (or @t100 (or @t104 @t20)) @t110))) % 0.36/0.60 (step @p179 :rule bool-impl-elim :args (@t22 @t20)) % 0.36/0.60 (step @p180 :rule refl :args (@t100)) % 0.36/0.60 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t100 @t23))) % 0.36/0.60 (step @p182 :rule trans :premises (@p181 @p178)) % 0.36/0.60 (step @p183 :rule bool-impl-elim :args (@t26 @t23)) % 0.36/0.60 (step @p184 :rule trans :premises (@p183 @p182)) % 0.36/0.60 (step @p185 :rule refl :args (@t64)) % 0.36/0.60 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t64 @t27))) % 0.36/0.60 (step @p187 :rule trans :premises (@p186 @p177)) % 0.36/0.60 (step @p188 :rule bool-impl-elim :args (@t6 @t27)) % 0.36/0.60 (step @p189 :rule trans :premises (@p188 @p187)) % 0.36/0.60 (step @p190 :rule cong :premises (@p189) :args (@t29)) % 0.36/0.60 (step @p191 :rule trans :premises (@p190 @p176)) % 0.36/0.60 (step @p192 :rule refl :args (@t32)) % 0.36/0.60 (step @p193 :rule cong :premises (@p192 @p191) :args (@t33)) % 0.36/0.60 (step @p194 :rule cong :premises (@p193) :args (@t35)) % 0.36/0.60 (step @p195 :rule trans :premises (@p194 @p155)) % 0.36/0.60 (step @p196 :rule refl :args (@t37)) % 0.36/0.60 (step @p197 :rule cong :premises (@p196 @p195) :args (@t38)) % 0.36/0.60 (step @p198 :rule cong :premises (@p197) :args (@t40)) % 0.36/0.60 (step @p199 :rule trans :premises (@p198 @p103)) % 0.36/0.60 (step @p200 :rule cong :premises (@p35 @p199) :args (@t41)) % 0.36/0.60 (step @p201 :rule cong :premises (@p62 @p200) :args (@t42)) % 0.36/0.60 (step @p202 :rule cong :premises (@p201) :args (@t43)) % 0.36/0.60 (step @p203 :rule trans :premises (@p202 @p66)) % 0.36/0.60 (step @p204 :rule eq_resolve :premises (@p3 @p203)) % 0.36/0.60 (step @p205 :rule not_implies_elim2 :premises (@p204)) % 0.36/0.60 (step @p206 :rule not_implies_elim1 :premises (@p205)) % 0.36/0.60 (step @p207 :rule not_implies_elim1 :premises (@p204)) % 0.36/0.60 (step @p208 :rule instantiate :premises (@p207) :args ((@list @t115 @t114 @t111))) % 0.36/0.60 (step @p209 :rule not_implies_elim2 :premises (@p205)) % 0.36/0.60 (step @p210 :rule skolemize :premises (@p209)) % 0.36/0.60 (step @p211 :rule bool-double-not-elim :args (@t116)) % 0.36/0.60 (step @p212 :rule refl :args (@t123)) % 0.36/0.60 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or @t123 (not @t117)))) % 0.36/0.60 (step @p214 :rule cnf_or_neg :args (@t123 5)) % 0.36/0.60 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.36/0.60 (step @p216 :rule reordering :premises (@p215) :args ((or @t116 @t123))) % 0.36/0.60 (step @p217 :rule chain_m_resolution :premises (@p216 @p210) :args (@t116 @t124 @t125)) % 0.36/0.60 (step @p218 :rule bool-double-not-elim :args (@t120)) % 0.36/0.60 (step @p219 :rule nary_cong :premises (@p212 @p218) :args ((or @t123 (not @t121)))) % 0.36/0.60 (step @p220 :rule cnf_or_neg :args (@t123 2)) % 0.36/0.60 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.36/0.60 (step @p222 :rule reordering :premises (@p221) :args ((or @t120 @t123))) % 0.36/0.60 (step @p223 :rule chain_m_resolution :premises (@p222 @p210) :args (@t120 @t124 @t125)) % 0.36/0.60 (step @p224 :rule cnf_or_pos :args (@t127)) % 0.36/0.60 (step @p225 :rule reordering :premises (@p224) :args ((or @t121 @t117 @t126 (not @t127)))) % 0.36/0.60 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p217 @p208) :args (@t126 (@list false false false) (@list @t120 @t116 @t127))) % 0.36/0.60 (step @p227 :rule bool-double-not-elim :args (@t118)) % 0.36/0.60 (step @p228 :rule nary_cong :premises (@p212 @p227) :args ((or @t123 (not @t119)))) % 0.36/0.60 (step @p229 :rule cnf_or_neg :args (@t123 4)) % 0.36/0.60 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 0.36/0.60 (step @p231 :rule reordering :premises (@p230) :args ((or @t118 @t123))) % 0.36/0.60 (step @p232 :rule chain_m_resolution :premises (@p231 @p210) :args (@t118 @t124 @t125)) % 0.36/0.60 (step @p233 :rule cnf_or_pos :args (@t129)) % 0.36/0.60 (step @p234 :rule reordering :premises (@p233) :args ((or @t119 @t128 @t130))) % 0.36/0.60 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p226) :args (@t130 (@list false false) (@list @t118 @t126))) % 0.36/0.60 (assume-push @p242 @t131) % 0.36/0.60 (step @p237 :rule instantiate :premises (@p206) :args ((@list @t113 @t112 @t111))) % 0.36/0.60 (step-pop @p243 :rule scope :premises (@p237)) % 0.36/0.60 (step @p238 :rule process_scope :premises (@p243) :args (@t129)) % 0.36/0.60 (step @p240 :rule implies_elim :premises (@p238)) % 0.36/0.60 (step @p241 false :rule chain_m_resolution :premises (@p240 @p235 @p206) :args (false (@list true false) (@list @t129 @t131))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------