%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU140+2 : 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 : n022.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 08:50:41 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU140+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n022.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:31:53 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.empty_set $$unsorted) % 0.37/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t3 () (not (tptp.in @t2 @t1))) % 0.37/0.59 (define @t4 () (tptp.in @t1 @t2)) % 0.37/0.59 (define @t5 () (@list @t1 @t2)) % 0.37/0.59 (define @t6 () (tptp.proper_subset @t2 @t1)) % 0.37/0.59 (define @t7 () (tptp.proper_subset @t1 @t2)) % 0.37/0.59 (define @t8 () (tptp.set_union2 @t2 @t1)) % 0.37/0.59 (define @t9 () (tptp.set_union2 @t1 @t2)) % 0.37/0.59 (define @t10 () (tptp.set_intersection2 @t1 @t2)) % 0.37/0.59 (define @t11 () (tptp.subset @t1 @t2)) % 0.37/0.59 (define @t12 () (= @t1 @t2)) % 0.37/0.59 (define @t13 () (= @t1 tptp.empty_set)) % 0.37/0.59 (define @t14 () (@list @t1)) % 0.37/0.59 (define @t15 () (@var "D" $$unsorted)) % 0.37/0.59 (define @t16 () (tptp.in @t15 @t2)) % 0.37/0.59 (define @t17 () (tptp.in @t15 @t1)) % 0.37/0.59 (define @t18 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t19 () (tptp.in @t15 @t18)) % 0.37/0.59 (define @t20 () (@list @t15)) % 0.37/0.59 (define @t21 () (@list @t1 @t2 @t18)) % 0.37/0.59 (define @t22 () (tptp.in @t18 @t2)) % 0.37/0.59 (define @t23 () (tptp.in @t18 @t1)) % 0.37/0.59 (define @t24 () (@list @t18)) % 0.37/0.59 (define @t25 () (forall @t24 (=> @t23 @t22))) % 0.37/0.59 (define @t26 () (= @t11 @t25)) % 0.37/0.59 (define @t27 () (forall @t5 @t26)) % 0.37/0.59 (define @t28 () (tptp.set_difference @t1 @t2)) % 0.37/0.59 (define @t29 () (tptp.disjoint @t1 @t2)) % 0.37/0.59 (define @t30 () (not @t12)) % 0.37/0.59 (define @t31 () (tptp.empty @t1)) % 0.37/0.59 (define @t32 () (not @t31)) % 0.37/0.59 (define @t33 () (tptp.disjoint @t2 @t1)) % 0.37/0.59 (define @t34 () (forall @t5 (=> @t29 @t33))) % 0.37/0.59 (define @t35 () (tptp.set_intersection2 @t2 @t18)) % 0.37/0.59 (define @t36 () (tptp.subset @t1 @t18)) % 0.37/0.59 (define @t37 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.37/0.59 (define @t38 () (and @t23 @t22)) % 0.37/0.59 (define @t39 () (exists @t24 @t38)) % 0.37/0.59 (define @t40 () (and @t39 @t29)) % 0.37/0.59 (define @t41 () (not @t40)) % 0.37/0.59 (define @t42 () (forall @t24 (not @t38))) % 0.37/0.59 (define @t43 () (not @t29)) % 0.37/0.59 (define @t44 () (and @t43 @t42)) % 0.37/0.59 (define @t45 () (not @t44)) % 0.37/0.59 (define @t46 () (and @t45 @t41)) % 0.37/0.59 (define @t47 () (forall @t5 @t46)) % 0.37/0.59 (define @t48 () (tptp.in @t18 @t10)) % 0.37/0.59 (define @t49 () (tptp.disjoint @t1 @t18)) % 0.37/0.59 (define @t50 () (tptp.disjoint @t2 @t18)) % 0.37/0.59 (define @t51 () (and @t11 @t50)) % 0.37/0.59 (define @t52 () (forall @t21 (=> @t51 @t49))) % 0.37/0.59 (define @t53 () (not @t52)) % 0.37/0.59 (define @t54 () (tptp.empty @t2)) % 0.37/0.59 (define @t55 () (@var "BOUND_VARIABLE_7772" $$unsorted)) % 0.37/0.59 (define @t56 () (@var "BOUND_VARIABLE_7786" $$unsorted)) % 0.37/0.59 (define @t57 () (not (tptp.in @t56 @t55))) % 0.37/0.59 (define @t58 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 0.37/0.59 (define @t59 () (not (tptp.in @t56 @t58))) % 0.37/0.59 (define @t60 () (not (tptp.disjoint @t58 @t55))) % 0.37/0.59 (define @t61 () (or @t59 @t57)) % 0.37/0.59 (define @t62 () (or @t61 @t60)) % 0.37/0.59 (define @t63 () (forall (@list @t58 @t55 @t56) @t62)) % 0.37/0.59 (define @t64 () (@list @t56)) % 0.37/0.59 (define @t65 () (forall @t64 @t62)) % 0.37/0.59 (define @t66 () (@list @t58 @t55)) % 0.37/0.59 (define @t67 () (forall @t64 @t61)) % 0.37/0.59 (define @t68 () (or @t67 @t60)) % 0.37/0.59 (define @t69 () (forall @t66 (or (forall @t24 (or (not (tptp.in @t18 @t58)) (not (tptp.in @t18 @t55)))) @t60))) % 0.37/0.59 (define @t70 () (@var "BOUND_VARIABLE_7757" $$unsorted)) % 0.37/0.59 (define @t71 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 0.37/0.59 (define @t72 () (forall (@list @t71 @t70) (or (tptp.disjoint @t71 @t70) (not (forall @t24 (or (not (tptp.in @t18 @t71)) (not (tptp.in @t18 @t70)))))))) % 0.37/0.59 (define @t73 () (forall @t24 (or (not @t23) (not @t22)))) % 0.37/0.59 (define @t74 () (or @t73 @t43)) % 0.37/0.59 (define @t75 () (forall @t5 @t74)) % 0.37/0.59 (define @t76 () (@list @t1 @t2)) % 0.37/0.59 (define @t77 () (not @t73)) % 0.37/0.59 (define @t78 () (or @t29 @t77)) % 0.37/0.59 (define @t79 () (forall @t5 @t78)) % 0.37/0.59 (define @t80 () (and @t79 @t75)) % 0.37/0.59 (define @t81 () (and (not (and @t43 @t73)) (not (and @t77 @t29)))) % 0.37/0.59 (define @t82 () (not @t42)) % 0.37/0.59 (define @t83 () (not @t50)) % 0.37/0.59 (define @t84 () (not @t11)) % 0.37/0.59 (define @t85 () (or @t84 @t83 @t49)) % 0.37/0.59 (define @t86 () (forall @t21 @t85)) % 0.37/0.59 (define @t87 () (@quantifiers_skolemize @t86 2)) % 0.37/0.59 (define @t88 () (@quantifiers_skolemize @t86 0)) % 0.37/0.59 (define @t89 () (tptp.disjoint @t88 @t87)) % 0.37/0.59 (define @t90 () (@quantifiers_skolemize @t86 1)) % 0.37/0.59 (define @t91 () (tptp.disjoint @t90 @t87)) % 0.37/0.59 (define @t92 () (not @t91)) % 0.37/0.59 (define @t93 () (tptp.subset @t88 @t90)) % 0.37/0.59 (define @t94 () (not @t93)) % 0.37/0.59 (define @t95 () (or @t94 @t92 @t89)) % 0.37/0.59 (define @t96 () (@list true)) % 0.37/0.59 (define @t97 () (@list @t95)) % 0.37/0.59 (define @t98 () (not (tptp.in @t18 @t88))) % 0.37/0.59 (define @t99 () (forall @t24 (or @t98 (not (tptp.in @t18 @t87))))) % 0.37/0.59 (define @t100 () (not @t99)) % 0.37/0.59 (define @t101 () (or @t89 @t100)) % 0.37/0.59 (define @t102 () (@quantifiers_skolemize @t99 0)) % 0.37/0.59 (define @t103 () (tptp.in @t102 @t88)) % 0.37/0.59 (define @t104 () (tptp.in @t102 @t87)) % 0.37/0.59 (define @t105 () (not @t104)) % 0.37/0.59 (define @t106 () (not @t103)) % 0.37/0.59 (define @t107 () (or @t106 @t105)) % 0.37/0.59 (define @t108 () (@list @t107)) % 0.37/0.59 (define @t109 () (forall @t24 (or @t98 (tptp.in @t18 @t90)))) % 0.37/0.59 (define @t110 () (= @t93 @t109)) % 0.37/0.59 (define @t111 () (@list false false)) % 0.37/0.59 (define @t112 () (tptp.disjoint @t87 @t90)) % 0.37/0.59 (define @t113 () (or @t92 @t112)) % 0.37/0.59 (define @t114 () (tptp.in @t102 @t90)) % 0.37/0.59 (define @t115 () (not @t114)) % 0.37/0.59 (define @t116 () (not @t112)) % 0.37/0.59 (define @t117 () (or @t116 @t105 @t115)) % 0.37/0.59 (define @t118 () (or @t106 @t114)) % 0.37/0.59 (assume @p1 (forall @t5 (=> @t4 @t3))) % 0.37/0.59 (assume @p2 (forall @t5 (=> @t7 (not @t6)))) % 0.37/0.59 (assume @p3 (forall @t5 (= @t9 @t8))) % 0.37/0.59 (assume @p4 (forall @t5 (= @t10 (tptp.set_intersection2 @t2 @t1)))) % 0.37/0.59 (assume @p5 (forall @t5 (= @t12 (and @t11 (tptp.subset @t2 @t1))))) % 0.37/0.59 (assume @p6 (forall @t14 (= @t13 (forall (@list @t2) @t3)))) % 0.37/0.59 (assume @p7 (forall @t21 (= (= @t18 @t9) (forall @t20 (= @t19 (or @t17 @t16)))))) % 0.37/0.59 (assume @p8 @t27) % 0.37/0.59 (assume @p9 (forall @t21 (= (= @t18 @t10) (forall @t20 (= @t19 (and @t17 @t16)))))) % 0.37/0.59 (assume @p10 (forall @t21 (= (= @t18 @t28) (forall @t20 (= @t19 (and @t17 (not @t16))))))) % 0.37/0.59 (assume @p11 (forall @t5 (= @t29 (= @t10 tptp.empty_set)))) % 0.37/0.59 (assume @p12 (forall @t5 (= @t7 (and @t11 @t30)))) % 0.37/0.59 (assume @p13 true) % 0.37/0.59 (assume @p14 (tptp.empty tptp.empty_set)) % 0.37/0.59 (assume @p15 (forall @t5 (=> @t32 (not (tptp.empty @t9))))) % 0.37/0.59 (assume @p16 (forall @t5 (=> @t32 (not (tptp.empty @t8))))) % 0.37/0.59 (assume @p17 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.37/0.59 (assume @p18 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.37/0.59 (assume @p19 (forall @t5 (not (tptp.proper_subset @t1 @t1)))) % 0.37/0.59 (assume @p20 (forall @t5 (= (= @t28 tptp.empty_set) @t11))) % 0.37/0.59 (assume @p21 (exists @t14 @t31)) % 0.37/0.59 (assume @p22 (exists @t14 @t32)) % 0.37/0.59 (assume @p23 (forall @t5 (tptp.subset @t1 @t1))) % 0.37/0.59 (assume @p24 @t34) % 0.37/0.59 (assume @p25 (forall @t5 (=> @t11 (= @t9 @t2)))) % 0.37/0.59 (assume @p26 (forall @t5 (tptp.subset @t10 @t1))) % 0.37/0.59 (assume @p27 (forall @t21 (=> (and @t11 @t36) (tptp.subset @t1 @t35)))) % 0.37/0.59 (assume @p28 (forall @t14 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.37/0.59 (assume @p29 (forall @t21 (=> (and @t11 (tptp.subset @t2 @t18)) @t36))) % 0.37/0.59 (assume @p30 (forall @t21 (=> @t11 (tptp.subset (tptp.set_intersection2 @t1 @t18) @t35)))) % 0.37/0.59 (assume @p31 (forall @t5 (=> @t11 (= @t10 @t1)))) % 0.37/0.59 (assume @p32 (forall @t14 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.37/0.59 (assume @p33 (forall @t5 (=> (forall @t24 (= @t23 @t22)) @t12))) % 0.37/0.59 (assume @p34 (forall @t14 (tptp.subset tptp.empty_set @t1))) % 0.37/0.59 (assume @p35 (forall @t21 (=> @t11 (tptp.subset (tptp.set_difference @t1 @t18) (tptp.set_difference @t2 @t18))))) % 0.37/0.59 (assume @p36 (forall @t5 (tptp.subset @t28 @t1))) % 0.37/0.59 (assume @p37 (forall @t5 (= @t37 @t9))) % 0.37/0.59 (assume @p38 (forall @t14 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.37/0.59 (assume @p39 @t47) % 0.37/0.59 (assume @p40 (forall @t14 (=> (tptp.subset @t1 tptp.empty_set) @t13))) % 0.37/0.59 (assume @p41 (forall @t5 (= (tptp.set_difference @t9 @t2) @t28))) % 0.37/0.59 (assume @p42 (forall @t5 (=> @t11 (= @t2 @t37)))) % 0.37/0.59 (assume @p43 (forall @t5 (= (tptp.set_difference @t1 @t28) @t10))) % 0.37/0.59 (assume @p44 (forall @t14 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.37/0.59 (assume @p45 (forall @t5 (and (not (and @t43 (forall @t24 (not @t48)))) (not (and (exists @t24 @t48) @t29))))) % 0.37/0.59 (assume @p46 (forall @t5 (not (and @t11 @t6)))) % 0.37/0.59 (assume @p47 @t53) % 0.37/0.59 (assume @p48 (forall @t14 (=> @t31 @t13))) % 0.37/0.59 (assume @p49 (forall @t5 (not (and @t4 @t54)))) % 0.37/0.59 (assume @p50 (forall @t5 (tptp.subset @t1 @t9))) % 0.37/0.59 (assume @p51 (forall @t5 (not (and @t31 @t30 @t54)))) % 0.37/0.59 (assume @p52 (forall @t21 (=> (and @t11 (tptp.subset @t18 @t2)) (tptp.subset (tptp.set_union2 @t1 @t18) @t2)))) % 0.37/0.59 (step @p53 :rule aci_norm :args ((= @t62 (or @t60 @t59 @t57)))) % 0.37/0.59 (step @p54 :rule cong :premises (@p53) :args (@t63)) % 0.37/0.59 (step @p55 :rule quant-merge-prenex :args ((= (forall @t66 @t65) @t63))) % 0.37/0.59 (step @p56 :rule refl :args (@t60)) % 0.37/0.59 (step @p57 :rule alpha_equiv :args (@t67 (@list @t56) (@list @t18))) % 0.37/0.59 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t68)) % 0.37/0.59 (step @p59 :rule quant-miniscope-or :args ((= @t65 @t68))) % 0.37/0.59 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.59 (step @p61 :rule symm :premises (@p60)) % 0.37/0.59 (step @p62 :rule cong :premises (@p61) :args (@t69)) % 0.37/0.59 (step @p63 :rule trans :premises (@p62 @p55)) % 0.37/0.59 (step @p64 :rule trans :premises (@p63 @p54)) % 0.37/0.59 (step @p65 :rule refl :args (@t72)) % 0.37/0.59 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((and @t72 @t69))) % 0.37/0.59 (step @p67 :rule alpha_equiv :args (@t75 @t76 (@list @t58 @t55))) % 0.37/0.59 (step @p68 :rule alpha_equiv :args (@t79 @t76 (@list @t71 @t70))) % 0.37/0.59 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t80)) % 0.37/0.59 (step @p70 :rule quant-miniscope-and :args ((= (forall @t5 (and @t78 @t74)) @t80))) % 0.37/0.59 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.59 (step @p72 :rule trans :premises (@p71 @p66)) % 0.37/0.59 (step @p73 :rule refl :args (@t43)) % 0.37/0.59 (step @p74 :rule bool-double-not-elim :args (@t73)) % 0.37/0.59 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t77) @t43))) % 0.37/0.59 (step @p76 :rule bool-and-de-morgan :args (@t77 @t29 true)) % 0.37/0.59 (step @p77 :rule trans :premises (@p76 @p75)) % 0.37/0.59 (step @p78 :rule refl :args (@t77)) % 0.37/0.59 (step @p79 :rule bool-double-not-elim :args (@t29)) % 0.37/0.59 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t43) @t77))) % 0.37/0.59 (step @p81 :rule bool-and-de-morgan :args (@t43 @t73 true)) % 0.37/0.59 (step @p82 :rule trans :premises (@p81 @p80)) % 0.37/0.59 (step @p83 :rule nary_cong :premises (@p82 @p77) :args (@t81)) % 0.37/0.59 (step @p84 :rule cong :premises (@p83) :args ((forall @t5 @t81))) % 0.37/0.59 (step @p85 :rule trans :premises (@p84 @p72)) % 0.37/0.59 (step @p86 :rule refl :args (@t29)) % 0.37/0.59 (step @p87 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.37/0.59 (step @p88 :rule cong :premises (@p87) :args (@t42)) % 0.37/0.59 (step @p89 :rule cong :premises (@p88) :args (@t82)) % 0.37/0.59 (step @p90 :rule exists-elim :args ((= @t39 @t82))) % 0.37/0.59 (step @p91 :rule trans :premises (@p90 @p89)) % 0.37/0.59 (step @p92 :rule nary_cong :premises (@p91 @p86) :args (@t40)) % 0.37/0.59 (step @p93 :rule cong :premises (@p92) :args (@t41)) % 0.37/0.59 (step @p94 :rule refl :args (@t43)) % 0.37/0.59 (step @p95 :rule nary_cong :premises (@p94 @p88) :args (@t44)) % 0.37/0.59 (step @p96 :rule cong :premises (@p95) :args (@t45)) % 0.37/0.59 (step @p97 :rule nary_cong :premises (@p96 @p93) :args (@t46)) % 0.37/0.59 (step @p98 :rule cong :premises (@p97) :args (@t47)) % 0.37/0.59 (step @p99 :rule trans :premises (@p98 @p85)) % 0.37/0.59 (step @p100 :rule eq_resolve :premises (@p39 @p99)) % 0.37/0.59 (step @p101 :rule and_elim :premises (@p100) :args (0)) % 0.37/0.59 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t88 @t87))) % 0.37/0.59 (step @p103 :rule aci_norm :args ((= (or (or @t84 @t83) @t49) @t85))) % 0.37/0.59 (step @p104 :rule refl :args (@t49)) % 0.37/0.59 (step @p105 :rule bool-and-de-morgan :args (@t11 @t50 true)) % 0.37/0.59 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t51) @t49))) % 0.37/0.59 (step @p107 :rule trans :premises (@p106 @p103)) % 0.37/0.59 (step @p108 :rule bool-impl-elim :args (@t51 @t49)) % 0.37/0.59 (step @p109 :rule trans :premises (@p108 @p107)) % 0.37/0.59 (step @p110 :rule cong :premises (@p109) :args (@t52)) % 0.37/0.59 (step @p111 :rule cong :premises (@p110) :args (@t53)) % 0.37/0.59 (step @p112 :rule eq_resolve :premises (@p47 @p111)) % 0.37/0.59 (step @p113 :rule skolemize :premises (@p112)) % 0.37/0.59 (step @p114 :rule cnf_or_neg :args (@t95 2)) % 0.37/0.59 (step @p115 :rule chain_m_resolution :premises (@p114 @p113) :args ((not @t89) @t96 @t97)) % 0.37/0.59 (step @p116 :rule cnf_or_pos :args (@t101)) % 0.37/0.59 (step @p117 :rule reordering :premises (@p116) :args ((or @t89 @t100 (not @t101)))) % 0.37/0.59 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p102) :args (@t100 (@list true false) (@list @t89 @t101))) % 0.37/0.59 (step @p119 :rule skolemize :premises (@p118)) % 0.37/0.59 (step @p120 :rule bool-double-not-elim :args (@t103)) % 0.37/0.59 (step @p121 :rule refl :args (@t107)) % 0.37/0.59 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t107 (not @t106)))) % 0.37/0.59 (step @p123 :rule cnf_or_neg :args (@t107 0)) % 0.37/0.59 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.37/0.59 (step @p125 :rule reordering :premises (@p124) :args ((or @t103 @t107))) % 0.37/0.59 (step @p126 :rule chain_m_resolution :premises (@p125 @p119) :args (@t103 @t96 @t108)) % 0.37/0.59 (step @p127 :rule bool-impl-elim :args (@t23 @t22)) % 0.37/0.59 (step @p128 :rule cong :premises (@p127) :args (@t25)) % 0.37/0.59 (step @p129 :rule refl :args (@t11)) % 0.37/0.59 (step @p130 :rule cong :premises (@p129 @p128) :args (@t26)) % 0.37/0.59 (step @p131 :rule cong :premises (@p130) :args (@t27)) % 0.37/0.59 (step @p132 :rule eq_resolve :premises (@p8 @p131)) % 0.37/0.59 (step @p133 :rule instantiate :premises (@p132) :args ((@list @t88 @t90))) % 0.37/0.59 (step @p134 :rule bool-double-not-elim :args (@t93)) % 0.37/0.59 (step @p135 :rule refl :args (@t95)) % 0.37/0.59 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t95 (not @t94)))) % 0.37/0.59 (step @p137 :rule cnf_or_neg :args (@t95 0)) % 0.37/0.59 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.37/0.59 (step @p139 :rule reordering :premises (@p138) :args ((or @t93 @t95))) % 0.37/0.59 (step @p140 :rule chain_m_resolution :premises (@p139 @p113) :args (@t93 @t96 @t97)) % 0.37/0.59 (step @p141 :rule cnf_equiv_pos1 :args (@t110)) % 0.37/0.59 (step @p142 :rule reordering :premises (@p141) :args ((or @t94 @t109 (not @t110)))) % 0.37/0.59 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p133) :args (@t109 @t111 (@list @t93 @t110))) % 0.37/0.59 (step @p144 :rule instantiate :premises (@p143) :args ((@list @t102))) % 0.37/0.59 (step @p145 :rule and_elim :premises (@p100) :args (1)) % 0.37/0.59 (step @p146 :rule instantiate :premises (@p145) :args ((@list @t87 @t90 @t102))) % 0.37/0.59 (step @p147 :rule bool-double-not-elim :args (@t104)) % 0.37/0.59 (step @p148 :rule nary_cong :premises (@p121 @p147) :args ((or @t107 (not @t105)))) % 0.37/0.59 (step @p149 :rule cnf_or_neg :args (@t107 1)) % 0.37/0.59 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 0.37/0.59 (step @p151 :rule reordering :premises (@p150) :args ((or @t104 @t107))) % 0.37/0.59 (step @p152 :rule chain_m_resolution :premises (@p151 @p119) :args (@t104 @t96 @t108)) % 0.37/0.59 (step @p153 :rule bool-impl-elim :args (@t29 @t33)) % 0.37/0.59 (step @p154 :rule cong :premises (@p153) :args (@t34)) % 0.37/0.59 (step @p155 :rule eq_resolve :premises (@p24 @p154)) % 0.37/0.59 (step @p156 :rule instantiate :premises (@p155) :args ((@list @t90 @t87))) % 0.37/0.59 (step @p157 :rule bool-double-not-elim :args (@t91)) % 0.37/0.59 (step @p158 :rule nary_cong :premises (@p135 @p157) :args ((or @t95 (not @t92)))) % 0.37/0.59 (step @p159 :rule cnf_or_neg :args (@t95 1)) % 0.37/0.59 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.37/0.59 (step @p161 :rule reordering :premises (@p160) :args ((or @t91 @t95))) % 0.37/0.59 (step @p162 :rule chain_m_resolution :premises (@p161 @p113) :args (@t91 @t96 @t97)) % 0.37/0.59 (step @p163 :rule cnf_or_pos :args (@t113)) % 0.37/0.59 (step @p164 :rule reordering :premises (@p163) :args ((or @t92 @t112 (not @t113)))) % 0.37/0.59 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p156) :args (@t112 @t111 (@list @t91 @t113))) % 0.37/0.59 (step @p166 :rule cnf_or_pos :args (@t117)) % 0.37/0.59 (step @p167 :rule reordering :premises (@p166) :args ((or @t116 @t105 @t115 (not @t117)))) % 0.37/0.59 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p152 @p146) :args (@t115 (@list false false false) (@list @t112 @t104 @t117))) % 0.37/0.59 (step @p169 :rule cnf_or_pos :args (@t118)) % 0.37/0.59 (step @p170 :rule reordering :premises (@p169) :args ((or @t106 @t114 (not @t118)))) % 0.37/0.59 (step @p171 false :rule chain_m_resolution :premises (@p170 @p168 @p144 @p126) :args (false (@list true false false) (@list @t114 @t118 @t103))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------