%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU171+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:50:50 AM UTC 2026 % Result : Theorem 16.11s 16.40s % Output : Proof 16.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU171+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.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 16:33:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.11/16.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.11/16.40 --- Run --no-e-matching --full-saturate-quant at 6... % 16.11/16.40 % SZS status Theorem % 16.11/16.40 % SZS output start Proof % 16.11/16.40 ( % 16.11/16.40 (declare-sort $$unsorted 0) % 16.11/16.40 (declare-const tptp.empty_set $$unsorted) % 16.11/16.40 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 16.11/16.40 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.40 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 16.11/16.40 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.40 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.11/16.40 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.11/16.40 (define @t1 () (@var "A" $$unsorted)) % 16.11/16.40 (define @t2 () (@var "B" $$unsorted)) % 16.11/16.40 (define @t3 () (tptp.in @t2 @t1)) % 16.11/16.40 (define @t4 () (tptp.in @t1 @t2)) % 16.11/16.40 (define @t5 () (@list @t1 @t2)) % 16.11/16.40 (define @t6 () (tptp.empty @t2)) % 16.11/16.40 (define @t7 () (tptp.element @t2 @t1)) % 16.11/16.40 (define @t8 () (= @t7 @t6)) % 16.11/16.40 (define @t9 () (tptp.empty @t1)) % 16.11/16.40 (define @t10 () (=> @t9 @t8)) % 16.11/16.40 (define @t11 () (not @t9)) % 16.11/16.40 (define @t12 () (=> @t11 (= @t7 @t3))) % 16.11/16.40 (define @t13 () (and @t12 @t10)) % 16.11/16.40 (define @t14 () (forall @t5 @t13)) % 16.11/16.40 (define @t15 () (@var "D" $$unsorted)) % 16.11/16.40 (define @t16 () (@var "C" $$unsorted)) % 16.11/16.40 (define @t17 () (@list @t15)) % 16.11/16.40 (define @t18 () (tptp.set_difference @t1 @t2)) % 16.11/16.40 (define @t19 () (forall (@list @t1 @t2 @t16) (= (= @t16 @t18) (forall @t17 (= (tptp.in @t15 @t16) (and (tptp.in @t15 @t1) (not (tptp.in @t15 @t2)))))))) % 16.11/16.40 (define @t20 () (tptp.subset_complement @t1 @t2)) % 16.11/16.40 (define @t21 () (tptp.powerset @t1)) % 16.11/16.40 (define @t22 () (tptp.element @t2 @t21)) % 16.11/16.40 (define @t23 () (=> @t22 (= @t20 @t18))) % 16.11/16.40 (define @t24 () (forall @t5 @t23)) % 16.11/16.40 (define @t25 () (@list @t2)) % 16.11/16.40 (define @t26 () (@list @t1)) % 16.11/16.40 (define @t27 () (tptp.empty tptp.empty_set)) % 16.11/16.40 (define @t28 () (not @t6)) % 16.11/16.40 (define @t29 () (tptp.in @t16 @t20)) % 16.11/16.40 (define @t30 () (tptp.in @t16 @t2)) % 16.11/16.40 (define @t31 () (not @t30)) % 16.11/16.40 (define @t32 () (=> @t31 @t29)) % 16.11/16.40 (define @t33 () (tptp.element @t16 @t1)) % 16.11/16.40 (define @t34 () (@list @t16)) % 16.11/16.40 (define @t35 () (forall @t34 (=> @t33 @t32))) % 16.11/16.40 (define @t36 () (=> @t22 @t35)) % 16.11/16.40 (define @t37 () (forall @t25 @t36)) % 16.11/16.40 (define @t38 () (= @t1 tptp.empty_set)) % 16.11/16.40 (define @t39 () (not @t38)) % 16.11/16.40 (define @t40 () (=> @t39 @t37)) % 16.11/16.40 (define @t41 () (forall @t26 @t40)) % 16.11/16.40 (define @t42 () (not @t41)) % 16.11/16.40 (define @t43 () (= @t1 @t2)) % 16.11/16.40 (define @t44 () (not @t43)) % 16.11/16.40 (define @t45 () (forall @t5 (not (and @t9 @t44 @t6)))) % 16.11/16.40 (define @t46 () (not @t44)) % 16.11/16.40 (define @t47 () (or @t11 @t46 @t28)) % 16.11/16.40 (define @t48 () (@var "BOUND_VARIABLE_7629" $$unsorted)) % 16.11/16.40 (define @t49 () (@var "BOUND_VARIABLE_7631" $$unsorted)) % 16.11/16.40 (define @t50 () (tptp.in @t49 (tptp.subset_complement @t1 @t48))) % 16.11/16.40 (define @t51 () (tptp.in @t49 @t48)) % 16.11/16.40 (define @t52 () (not (tptp.element @t49 @t1))) % 16.11/16.40 (define @t53 () (not (tptp.element @t48 @t21))) % 16.11/16.40 (define @t54 () (or @t38 @t53 @t52 @t51 @t50)) % 16.11/16.40 (define @t55 () (@list @t1 @t48 @t49)) % 16.11/16.40 (define @t56 () (forall @t55 @t54)) % 16.11/16.40 (define @t57 () (@quantifiers_skolemize @t56 0)) % 16.11/16.40 (define @t58 () (or @t53 @t52 @t51 @t50)) % 16.11/16.40 (define @t59 () (or @t38 @t58)) % 16.11/16.40 (define @t60 () (forall @t55 @t59)) % 16.11/16.40 (define @t61 () (@list @t48 @t49)) % 16.11/16.40 (define @t62 () (forall @t61 @t59)) % 16.11/16.40 (define @t63 () (forall @t61 @t58)) % 16.11/16.40 (define @t64 () (@var "BOUND_VARIABLE_7613" $$unsorted)) % 16.11/16.40 (define @t65 () (or @t38 @t63)) % 16.11/16.40 (define @t66 () (tptp.in @t64 @t20)) % 16.11/16.40 (define @t67 () (tptp.in @t64 @t2)) % 16.11/16.40 (define @t68 () (not (tptp.element @t64 @t1))) % 16.11/16.40 (define @t69 () (not @t22)) % 16.11/16.40 (define @t70 () (or @t69 @t68 @t67 @t66)) % 16.11/16.40 (define @t71 () (@list @t2 @t64)) % 16.11/16.40 (define @t72 () (forall @t71 @t70)) % 16.11/16.40 (define @t73 () (or @t68 @t67 @t66)) % 16.11/16.40 (define @t74 () (or @t69 @t73)) % 16.11/16.40 (define @t75 () (forall @t71 @t74)) % 16.11/16.40 (define @t76 () (@list @t64)) % 16.11/16.40 (define @t77 () (forall @t76 @t74)) % 16.11/16.40 (define @t78 () (forall @t76 @t73)) % 16.11/16.40 (define @t79 () (or @t69 @t78)) % 16.11/16.40 (define @t80 () (not @t33)) % 16.11/16.40 (define @t81 () (or @t80 @t30 @t29)) % 16.11/16.40 (define @t82 () (forall @t34 @t81)) % 16.11/16.40 (define @t83 () (@quantifiers_skolemize @t56 1)) % 16.11/16.40 (define @t84 () (tptp.subset_complement @t57 @t83)) % 16.11/16.40 (define @t85 () (@quantifiers_skolemize @t56 2)) % 16.11/16.40 (define @t86 () (tptp.in @t85 @t84)) % 16.11/16.40 (define @t87 () (tptp.in @t85 @t83)) % 16.11/16.40 (define @t88 () (tptp.element @t85 @t57)) % 16.11/16.40 (define @t89 () (not @t88)) % 16.11/16.40 (define @t90 () (tptp.element @t83 (tptp.powerset @t57))) % 16.11/16.40 (define @t91 () (not @t90)) % 16.11/16.40 (define @t92 () (= tptp.empty_set @t57)) % 16.11/16.40 (define @t93 () (or @t92 @t91 @t89 @t87 @t86)) % 16.11/16.40 (define @t94 () (not @t93)) % 16.11/16.40 (define @t95 () (not @t56)) % 16.11/16.40 (define @t96 () (or (= @t57 tptp.empty_set) @t91 @t89 @t87 @t86)) % 16.11/16.40 (define @t97 () (not @t96)) % 16.11/16.40 (define @t98 () (@list true)) % 16.11/16.40 (define @t99 () (@list @t93)) % 16.11/16.40 (define @t100 () (tptp.empty @t57)) % 16.11/16.40 (define @t101 () (not @t100)) % 16.11/16.40 (define @t102 () (not @t27)) % 16.11/16.40 (define @t103 () (or @t102 @t92 @t101)) % 16.11/16.40 (define @t104 () (tptp.set_difference @t57 @t83)) % 16.11/16.40 (define @t105 () (forall @t17 (= (tptp.in @t15 @t104) (and (tptp.in @t15 @t57) (not (tptp.in @t15 @t83)))))) % 16.11/16.40 (define @t106 () (= (= @t104 @t104) @t105)) % 16.11/16.40 (define @t107 () (@list false)) % 16.11/16.40 (define @t108 () (= @t18 @t20)) % 16.11/16.40 (define @t109 () (or @t91 (= @t104 @t84))) % 16.11/16.40 (define @t110 () (forall @t5 (or @t69 @t108))) % 16.11/16.40 (define @t111 () (= @t84 @t104)) % 16.11/16.40 (define @t112 () (or @t91 @t111)) % 16.11/16.40 (define @t113 () (tptp.in @t85 @t104)) % 16.11/16.40 (define @t114 () (not @t87)) % 16.11/16.40 (define @t115 () (tptp.in @t85 @t57)) % 16.11/16.40 (define @t116 () (and @t115 @t114)) % 16.11/16.40 (define @t117 () (= @t113 @t116)) % 16.11/16.40 (define @t118 () (not @t116)) % 16.11/16.40 (define @t119 () (not @t115)) % 16.11/16.40 (define @t120 () (= @t88 @t115)) % 16.11/16.40 (define @t121 () (not @t120)) % 16.11/16.40 (define @t122 () (or @t11 @t8)) % 16.11/16.40 (define @t123 () (forall @t5 @t122)) % 16.11/16.40 (define @t124 () (@list @t1 @t2)) % 16.11/16.40 (define @t125 () (= @t3 @t7)) % 16.11/16.40 (define @t126 () (or @t9 @t125)) % 16.11/16.40 (define @t127 () (forall @t5 @t126)) % 16.11/16.40 (define @t128 () (@var "BOUND_VARIABLE_7527" $$unsorted)) % 16.11/16.40 (define @t129 () (@var "BOUND_VARIABLE_7525" $$unsorted)) % 16.11/16.40 (define @t130 () (and @t127 @t123)) % 16.11/16.40 (define @t131 () (and (=> @t11 @t125) @t10)) % 16.11/16.40 (define @t132 () (or @t100 (= @t115 @t88))) % 16.11/16.40 (define @t133 () (forall (@list @t129 @t128) (or (tptp.empty @t129) (= (tptp.in @t128 @t129) (tptp.element @t128 @t129))))) % 16.11/16.40 (define @t134 () (or @t100 @t120)) % 16.11/16.40 (assume @p1 (forall @t5 (=> @t4 (not @t3)))) % 16.11/16.40 (assume @p2 @t14) % 16.11/16.40 (assume @p3 @t19) % 16.11/16.40 (assume @p4 @t24) % 16.11/16.40 (assume @p5 true) % 16.11/16.40 (assume @p6 (forall @t5 (=> @t22 (tptp.element @t20 @t21)))) % 16.11/16.40 (assume @p7 (forall @t26 (exists @t25 @t7))) % 16.11/16.40 (assume @p8 (forall @t26 (not (tptp.empty @t21)))) % 16.11/16.40 (assume @p9 @t27) % 16.11/16.40 (assume @p10 (forall @t5 (=> @t22 (= (tptp.subset_complement @t1 @t20) @t2)))) % 16.11/16.40 (assume @p11 (forall @t26 (=> @t11 (exists @t25 (and @t22 @t28))))) % 16.11/16.40 (assume @p12 (exists @t26 @t9)) % 16.11/16.40 (assume @p13 (forall @t26 (exists @t25 (and @t22 @t6)))) % 16.11/16.40 (assume @p14 (exists @t26 @t11)) % 16.11/16.40 (assume @p15 (forall @t26 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 16.11/16.40 (assume @p16 (forall @t26 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 16.11/16.40 (assume @p17 @t42) % 16.11/16.40 (assume @p18 (forall @t26 (=> @t9 @t38))) % 16.11/16.40 (assume @p19 (forall @t5 (not (and @t4 @t6)))) % 16.11/16.40 (assume @p20 @t45) % 16.11/16.40 (step @p21 :rule refl :args (@t28)) % 16.11/16.40 (step @p22 :rule bool-double-not-elim :args (@t43)) % 16.11/16.40 (step @p23 :rule refl :args (@t11)) % 16.11/16.40 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21) :args (@t47)) % 16.11/16.40 (step @p25 :rule aci_norm :args ((= (or @t11 (or @t46 @t28)) @t47))) % 16.11/16.40 (step @p26 :rule trans :premises (@p25 @p24)) % 16.11/16.40 (step @p27 :rule bool-and-de-morgan :args (@t44 @t6 true)) % 16.11/16.40 (step @p28 :rule nary_cong :premises (@p23 @p27) :args ((or @t11 (not (and @t44 @t6))))) % 16.11/16.40 (step @p29 :rule bool-and-de-morgan :args (@t9 @t44 (and @t6))) % 16.11/16.40 (step @p30 :rule trans :premises (@p29 @p28)) % 16.11/16.40 (step @p31 :rule trans :premises (@p30 @p26)) % 16.11/16.40 (step @p32 :rule cong :premises (@p31) :args (@t45)) % 16.11/16.40 (step @p33 :rule eq_resolve :premises (@p20 @p32)) % 16.11/16.40 (step @p34 :rule instantiate :premises (@p33) :args ((@list tptp.empty_set @t57))) % 16.11/16.40 (step @p35 :rule aci_norm :args ((= @t59 @t54))) % 16.11/16.40 (step @p36 :rule cong :premises (@p35) :args (@t60)) % 16.11/16.40 (step @p37 :rule quant-merge-prenex :args ((= (forall @t26 @t62) @t60))) % 16.11/16.40 (step @p38 :rule alpha_equiv :args (@t63 (@list @t48 @t49) (@list @t2 @t64))) % 16.11/16.40 (step @p39 :rule refl :args (@t38)) % 16.11/16.40 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t65)) % 16.11/16.40 (step @p41 :rule quant-miniscope-or :args ((= @t62 @t65))) % 16.11/16.40 (step @p42 :rule trans :premises (@p41 @p40)) % 16.11/16.40 (step @p43 :rule symm :premises (@p42)) % 16.11/16.40 (step @p44 :rule cong :premises (@p43) :args ((forall @t26 (or @t38 @t72)))) % 16.11/16.40 (step @p45 :rule trans :premises (@p44 @p37)) % 16.11/16.40 (step @p46 :rule trans :premises (@p45 @p36)) % 16.11/16.40 (step @p47 :rule refl :args (@t72)) % 16.11/16.40 (step @p48 :rule bool-double-not-elim :args (@t38)) % 16.11/16.40 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t39) @t72))) % 16.11/16.40 (step @p50 :rule bool-impl-elim :args (@t39 @t72)) % 16.11/16.40 (step @p51 :rule trans :premises (@p50 @p49)) % 16.11/16.40 (step @p52 :rule cong :premises (@p51) :args ((forall @t26 (=> @t39 @t72)))) % 16.11/16.40 (step @p53 :rule trans :premises (@p52 @p46)) % 16.11/16.40 (step @p54 :rule aci_norm :args ((= @t74 @t70))) % 16.11/16.40 (step @p55 :rule cong :premises (@p54) :args (@t75)) % 16.11/16.40 (step @p56 :rule quant-merge-prenex :args ((= (forall @t25 @t77) @t75))) % 16.11/16.40 (step @p57 :rule alpha_equiv :args (@t78 (@list @t64) (@list @t16))) % 16.11/16.40 (step @p58 :rule refl :args (@t69)) % 16.11/16.40 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t79)) % 16.11/16.40 (step @p60 :rule quant-miniscope-or :args ((= @t77 @t79))) % 16.11/16.40 (step @p61 :rule trans :premises (@p60 @p59)) % 16.11/16.40 (step @p62 :rule symm :premises (@p61)) % 16.11/16.40 (step @p63 :rule cong :premises (@p62) :args ((forall @t25 (or @t69 @t82)))) % 16.11/16.40 (step @p64 :rule trans :premises (@p63 @p56)) % 16.11/16.40 (step @p65 :rule trans :premises (@p64 @p55)) % 16.11/16.40 (step @p66 :rule bool-impl-elim :args (@t22 @t82)) % 16.11/16.40 (step @p67 :rule cong :premises (@p66) :args ((forall @t25 (=> @t22 @t82)))) % 16.11/16.40 (step @p68 :rule trans :premises (@p67 @p65)) % 16.11/16.40 (step @p69 :rule aci_norm :args ((= (or @t80 (or @t30 @t29)) @t81))) % 16.11/16.40 (step @p70 :rule refl :args (@t29)) % 16.11/16.40 (step @p71 :rule bool-double-not-elim :args (@t30)) % 16.11/16.40 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t31) @t29))) % 16.11/16.40 (step @p73 :rule bool-impl-elim :args (@t31 @t29)) % 16.11/16.40 (step @p74 :rule trans :premises (@p73 @p72)) % 16.11/16.40 (step @p75 :rule refl :args (@t80)) % 16.11/16.40 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t80 @t32))) % 16.11/16.40 (step @p77 :rule trans :premises (@p76 @p69)) % 16.11/16.40 (step @p78 :rule bool-impl-elim :args (@t33 @t32)) % 16.11/16.40 (step @p79 :rule trans :premises (@p78 @p77)) % 16.11/16.40 (step @p80 :rule cong :premises (@p79) :args (@t35)) % 16.11/16.40 (step @p81 :rule refl :args (@t22)) % 16.11/16.40 (step @p82 :rule cong :premises (@p81 @p80) :args (@t36)) % 16.11/16.40 (step @p83 :rule cong :premises (@p82) :args (@t37)) % 16.11/16.40 (step @p84 :rule trans :premises (@p83 @p68)) % 16.11/16.40 (step @p85 :rule refl :args (@t39)) % 16.11/16.40 (step @p86 :rule cong :premises (@p85 @p84) :args (@t40)) % 16.11/16.40 (step @p87 :rule cong :premises (@p86) :args (@t41)) % 16.11/16.40 (step @p88 :rule trans :premises (@p87 @p53)) % 16.11/16.40 (step @p89 :rule cong :premises (@p88) :args (@t42)) % 16.11/16.40 (step @p90 :rule eq_resolve :premises (@p17 @p89)) % 16.11/16.40 (step @p91 :rule refl :args (@t94)) % 16.11/16.40 (step @p92 :rule bool-double-not-elim :args (@t56)) % 16.11/16.40 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or (not @t95) @t94))) % 16.11/16.40 (step @p94 :rule refl :args (@t86)) % 16.11/16.40 (step @p95 :rule refl :args (@t87)) % 16.11/16.40 (step @p96 :rule refl :args (@t89)) % 16.11/16.40 (step @p97 :rule refl :args (@t91)) % 16.11/16.40 (step @p98 :rule eq-symm :args (@t57 tptp.empty_set)) % 16.11/16.40 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95 @p94) :args (@t96)) % 16.11/16.40 (step @p100 :rule cong :premises (@p99) :args (@t97)) % 16.11/16.40 (step @p101 :rule refl :args (@t95)) % 16.11/16.40 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t95 @t97))) % 16.11/16.40 (assume-push @p229 @t95) % 16.11/16.40 (step @p104 :rule skolemize :premises (@p90)) % 16.11/16.40 (step-pop @p230 :rule scope :premises (@p104)) % 16.11/16.40 (step @p105 :rule process_scope :premises (@p230) :args (@t97)) % 16.11/16.40 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 16.11/16.40 (step @p108 :rule implies_elim :premises (@p107)) % 16.11/16.40 (step @p109 :rule eq_resolve :premises (@p108 @p93)) % 16.11/16.40 (step @p110 :rule chain_m_resolution :premises (@p109 @p90) :args (@t94 @t98 (@list @t56))) % 16.11/16.40 (step @p111 :rule cnf_or_neg :args (@t93 0)) % 16.11/16.40 (step @p112 :rule chain_m_resolution :premises (@p111 @p110) :args ((not @t92) @t98 @t99)) % 16.11/16.40 (step @p113 :rule cnf_or_pos :args (@t103)) % 16.11/16.40 (step @p114 :rule reordering :premises (@p113) :args ((or @t102 @t92 @t101 (not @t103)))) % 16.11/16.40 (step @p115 :rule chain_m_resolution :premises (@p114 @p9 @p112 @p34) :args (@t101 (@list false true false) (@list @t27 @t92 @t103))) % 16.11/16.40 (step @p116 :rule bool-eq-true :args (@t105)) % 16.11/16.40 (step @p117 :rule eq-symm :args (true @t105)) % 16.11/16.40 (step @p118 :rule trans :premises (@p117 @p116)) % 16.11/16.40 (step @p119 :rule refl :args (@t105)) % 16.11/16.40 (step @p120 :rule eq-refl :args (@t104)) % 16.11/16.40 (step @p121 :rule cong :premises (@p120 @p119) :args (@t106)) % 16.11/16.40 (step @p122 :rule trans :premises (@p121 @p118)) % 16.11/16.40 (step @p123 :rule refl :args (@t19)) % 16.11/16.40 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t19 @t106))) % 16.11/16.40 (assume-push @p231 @t19) % 16.11/16.40 (step @p126 :rule instantiate :premises (@p3) :args ((@list @t57 @t83 @t104))) % 16.11/16.40 (step-pop @p232 :rule scope :premises (@p126)) % 16.11/16.40 (step @p127 :rule process_scope :premises (@p232) :args (@t106)) % 16.11/16.40 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 16.11/16.40 (step @p130 :rule implies_elim :premises (@p129)) % 16.11/16.40 (step @p131 :rule chain_m_resolution :premises (@p130 @p3) :args (@t105 @t107 (@list @t19))) % 16.11/16.40 (step @p132 :rule instantiate :premises (@p131) :args ((@list @t85))) % 16.11/16.40 (step @p133 :rule cnf_or_neg :args (@t93 4)) % 16.11/16.40 (step @p134 :rule chain_m_resolution :premises (@p133 @p110) :args ((not @t86) @t98 @t99)) % 16.11/16.40 (step @p135 :rule false_intro :premises (@p134)) % 16.11/16.40 (step @p136 :rule bool-impl-elim :args (@t22 @t108)) % 16.11/16.40 (step @p137 :rule cong :premises (@p136) :args ((forall @t5 (=> @t22 @t108)))) % 16.11/16.40 (step @p138 :rule eq-symm :args (@t20 @t18)) % 16.11/16.40 (step @p139 :rule cong :premises (@p81 @p138) :args (@t23)) % 16.11/16.40 (step @p140 :rule cong :premises (@p139) :args (@t24)) % 16.11/16.40 (step @p141 :rule trans :premises (@p140 @p137)) % 16.11/16.40 (step @p142 :rule eq_resolve :premises (@p4 @p141)) % 16.11/16.40 (step @p143 :rule eq-symm :args (@t104 @t84)) % 16.11/16.40 (step @p144 :rule nary_cong :premises (@p97 @p143) :args (@t109)) % 16.11/16.40 (step @p145 :rule refl :args (@t110)) % 16.11/16.40 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t110 @t109))) % 16.11/16.40 (assume-push @p233 @t110) % 16.11/16.40 (step @p148 :rule instantiate :premises (@p142) :args ((@list @t57 @t83))) % 16.11/16.40 (step-pop @p234 :rule scope :premises (@p148)) % 16.11/16.40 (step @p149 :rule process_scope :premises (@p234) :args (@t109)) % 16.11/16.40 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 16.11/16.40 (step @p152 :rule implies_elim :premises (@p151)) % 16.11/16.40 (step @p153 :rule chain_m_resolution :premises (@p152 @p142) :args (@t112 @t107 (@list @t110))) % 16.11/16.40 (step @p154 :rule bool-double-not-elim :args (@t90)) % 16.11/16.40 (step @p155 :rule refl :args (@t93)) % 16.11/16.40 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t93 (not @t91)))) % 16.11/16.40 (step @p157 :rule cnf_or_neg :args (@t93 1)) % 16.11/16.40 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 16.11/16.40 (step @p159 :rule reordering :premises (@p158) :args ((or @t90 @t93))) % 16.11/16.40 (step @p160 :rule chain_m_resolution :premises (@p159 @p110) :args (@t90 @t98 @t99)) % 16.11/16.40 (step @p161 :rule cnf_or_pos :args (@t112)) % 16.11/16.40 (step @p162 :rule reordering :premises (@p161) :args ((or @t91 @t111 (not @t112)))) % 16.11/16.40 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p153) :args (@t111 (@list false false) (@list @t90 @t112))) % 16.11/16.40 (step @p164 :rule symm :premises (@p163)) % 16.11/16.40 (step @p165 :rule refl :args (@t85)) % 16.11/16.40 (step @p166 :rule cong :premises (@p165 @p164) :args (@t113)) % 16.11/16.40 (step @p167 :rule trans :premises (@p166 @p135)) % 16.11/16.40 (step @p168 :rule false_elim :premises (@p167)) % 16.11/16.40 (step @p169 :rule cnf_equiv_pos2 :args (@t117)) % 16.11/16.40 (step @p170 :rule reordering :premises (@p169) :args ((or @t113 @t118 (not @t117)))) % 16.11/16.40 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p132) :args (@t118 (@list true false) (@list @t113 @t117))) % 16.11/16.40 (step @p172 :rule cnf_or_neg :args (@t93 3)) % 16.11/16.40 (step @p173 :rule chain_m_resolution :premises (@p172 @p110) :args (@t114 @t98 @t99)) % 16.11/16.40 (step @p174 :rule bool-double-not-elim :args (@t87)) % 16.11/16.40 (step @p175 :rule refl :args (@t119)) % 16.11/16.40 (step @p176 :rule refl :args (@t116)) % 16.11/16.40 (step @p177 :rule nary_cong :premises (@p176 @p175 @p174) :args ((or @t116 @t119 (not @t114)))) % 16.11/16.40 (step @p178 :rule cnf_and_neg :args (@t116)) % 16.11/16.40 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 16.11/16.40 (step @p180 :rule reordering :premises (@p179) :args ((or @t87 @t116 @t119))) % 16.11/16.40 (step @p181 :rule chain_m_resolution :premises (@p180 @p173 @p171) :args (@t119 (@list true true) (@list @t87 @t116))) % 16.11/16.40 (step @p182 :rule bool-double-not-elim :args (@t88)) % 16.11/16.40 (step @p183 :rule nary_cong :premises (@p155 @p182) :args ((or @t93 (not @t89)))) % 16.11/16.40 (step @p184 :rule cnf_or_neg :args (@t93 2)) % 16.11/16.40 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 16.11/16.40 (step @p186 :rule reordering :premises (@p185) :args ((or @t88 @t93))) % 16.11/16.40 (step @p187 :rule chain_m_resolution :premises (@p186 @p110) :args (@t88 @t98 @t99)) % 16.11/16.40 (step @p188 :rule cnf_equiv_pos1 :args (@t120)) % 16.11/16.40 (step @p189 :rule reordering :premises (@p188) :args ((or @t89 @t115 @t121))) % 16.11/16.40 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p181) :args (@t121 (@list false true) (@list @t88 @t115))) % 16.11/16.40 (step @p191 :rule alpha_equiv :args (@t123 @t124 (@list (@var "BOUND_VARIABLE_7536" $$unsorted) (@var "BOUND_VARIABLE_7538" $$unsorted)))) % 16.11/16.40 (step @p192 :rule alpha_equiv :args (@t127 @t124 (@list @t129 @t128))) % 16.11/16.40 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t130)) % 16.11/16.40 (step @p194 :rule quant-miniscope-and :args ((= (forall @t5 (and @t126 @t122)) @t130))) % 16.11/16.40 (step @p195 :rule trans :premises (@p194 @p193)) % 16.11/16.40 (step @p196 :rule bool-impl-elim :args (@t9 @t8)) % 16.11/16.40 (step @p197 :rule refl :args (@t125)) % 16.11/16.40 (step @p198 :rule bool-double-not-elim :args (@t9)) % 16.11/16.40 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or (not @t11) @t125))) % 16.11/16.40 (step @p200 :rule bool-impl-elim :args (@t11 @t125)) % 16.11/16.40 (step @p201 :rule trans :premises (@p200 @p199)) % 16.11/16.40 (step @p202 :rule nary_cong :premises (@p201 @p196) :args (@t131)) % 16.11/16.40 (step @p203 :rule cong :premises (@p202) :args ((forall @t5 @t131))) % 16.11/16.40 (step @p204 :rule trans :premises (@p203 @p195)) % 16.11/16.40 (step @p205 :rule refl :args (@t10)) % 16.11/16.40 (step @p206 :rule eq-symm :args (@t7 @t3)) % 16.11/16.40 (step @p207 :rule refl :args (@t11)) % 16.11/16.40 (step @p208 :rule cong :premises (@p207 @p206) :args (@t12)) % 16.11/16.40 (step @p209 :rule nary_cong :premises (@p208 @p205) :args (@t13)) % 16.11/16.40 (step @p210 :rule cong :premises (@p209) :args (@t14)) % 16.11/16.40 (step @p211 :rule trans :premises (@p210 @p204)) % 16.11/16.40 (step @p212 :rule eq_resolve :premises (@p2 @p211)) % 16.11/16.40 (step @p213 :rule and_elim :premises (@p212) :args (0)) % 16.11/16.40 (step @p214 :rule eq-symm :args (@t115 @t88)) % 16.11/16.40 (step @p215 :rule refl :args (@t100)) % 16.11/16.40 (step @p216 :rule nary_cong :premises (@p215 @p214) :args (@t132)) % 16.11/16.40 (step @p217 :rule refl :args (@t133)) % 16.11/16.40 (step @p218 :rule cong :premises (@p217 @p216) :args ((=> @t133 @t132))) % 16.11/16.40 (assume-push @p235 @t133) % 16.11/16.40 (step @p220 :rule instantiate :premises (@p213) :args ((@list @t57 @t85))) % 16.11/16.40 (step-pop @p236 :rule scope :premises (@p220)) % 16.11/16.40 (step @p221 :rule process_scope :premises (@p236) :args (@t132)) % 16.11/16.40 (step @p223 :rule eq_resolve :premises (@p221 @p218)) % 16.11/16.40 (step @p224 :rule implies_elim :premises (@p223)) % 16.11/16.40 (step @p225 :rule chain_m_resolution :premises (@p224 @p213) :args (@t134 @t107 (@list @t133))) % 16.11/16.40 (step @p226 :rule cnf_or_pos :args (@t134)) % 16.11/16.40 (step @p227 :rule reordering :premises (@p226) :args ((or @t100 @t120 (not @t134)))) % 16.11/16.40 (step @p228 false :rule chain_m_resolution :premises (@p227 @p225 @p190 @p115) :args (false (@list false true true) (@list @t134 @t120 @t100))) % 16.11/16.40 ) % 16.11/16.40 % SZS output end Proof % 16.11/16.40 % cvc5 exiting %------------------------------------------------------------------------------