%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU251+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:51:08 AM UTC 2026 % Result : Theorem 66.09s 66.36s % Output : Proof 66.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU251+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % 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 16:48:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 66.09/66.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 66.09/66.36 --- Run --no-e-matching --full-saturate-quant at 6... % 66.09/66.36 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 66.09/66.36 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 66.09/66.36 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 66.09/66.36 --- Run --trigger-sel=max --full-saturate-quant at 15... % 66.09/66.36 % SZS status Theorem % 66.09/66.36 % SZS output start Proof % 66.09/66.36 ( % 66.09/66.36 (declare-sort $$unsorted 0) % 66.09/66.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 66.09/66.36 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 66.09/66.36 (declare-const tptp.empty_set $$unsorted) % 66.09/66.36 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 66.09/66.36 (declare-const tptp.function (-> $$unsorted Bool)) % 66.09/66.36 (declare-const tptp.empty (-> $$unsorted Bool)) % 66.09/66.36 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 66.09/66.36 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 66.09/66.36 (declare-const tptp.relation (-> $$unsorted Bool)) % 66.09/66.36 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 66.09/66.36 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 66.09/66.36 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 66.09/66.36 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 66.09/66.36 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 66.09/66.36 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 66.09/66.36 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 66.09/66.36 (define @t1 () (@var "A" $$unsorted)) % 66.09/66.36 (define @t2 () (@var "B" $$unsorted)) % 66.09/66.36 (define @t3 () (tptp.in @t1 @t2)) % 66.09/66.36 (define @t4 () (@list @t1 @t2)) % 66.09/66.36 (define @t5 () (tptp.function @t1)) % 66.09/66.36 (define @t6 () (tptp.empty @t1)) % 66.09/66.36 (define @t7 () (@list @t1)) % 66.09/66.36 (define @t8 () (tptp.relation @t1)) % 66.09/66.36 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 66.09/66.36 (define @t10 () (and @t8 @t6 @t5)) % 66.09/66.36 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 66.09/66.36 (define @t12 () (@var "D" $$unsorted)) % 66.09/66.36 (define @t13 () (tptp.in (tptp.ordered_pair @t12 @t2) @t1)) % 66.09/66.36 (define @t14 () (not (= @t12 @t2))) % 66.09/66.36 (define @t15 () (and @t14 @t13)) % 66.09/66.36 (define @t16 () (@var "C" $$unsorted)) % 66.09/66.36 (define @t17 () (tptp.in @t12 @t16)) % 66.09/66.36 (define @t18 () (= @t17 @t15)) % 66.09/66.36 (define @t19 () (@list @t12)) % 66.09/66.36 (define @t20 () (forall @t19 @t18)) % 66.09/66.36 (define @t21 () (= @t16 (tptp.fiber @t1 @t2))) % 66.09/66.36 (define @t22 () (= @t21 @t20)) % 66.09/66.36 (define @t23 () (@list @t2 @t16)) % 66.09/66.36 (define @t24 () (forall @t23 @t22)) % 66.09/66.36 (define @t25 () (=> @t8 @t24)) % 66.09/66.36 (define @t26 () (forall @t7 @t25)) % 66.09/66.36 (define @t27 () (tptp.in @t16 @t2)) % 66.09/66.36 (define @t28 () (tptp.in @t16 @t1)) % 66.09/66.36 (define @t29 () (@list @t16)) % 66.09/66.36 (define @t30 () (forall @t29 (=> @t28 @t27))) % 66.09/66.36 (define @t31 () (tptp.subset @t1 @t2)) % 66.09/66.36 (define @t32 () (= @t31 @t30)) % 66.09/66.36 (define @t33 () (forall @t4 @t32)) % 66.09/66.36 (define @t34 () (tptp.ordered_pair @t1 @t2)) % 66.09/66.36 (define @t35 () (tptp.cartesian_product2 @t2 @t2)) % 66.09/66.36 (define @t36 () (tptp.relation_restriction @t1 @t2)) % 66.09/66.36 (define @t37 () (@list @t2)) % 66.09/66.36 (define @t38 () (tptp.relation @t36)) % 66.09/66.36 (define @t39 () (forall @t4 (=> @t8 @t38))) % 66.09/66.36 (define @t40 () (= (tptp.in @t1 (tptp.relation_restriction @t16 @t2)) (and (tptp.in @t1 @t16) (tptp.in @t1 @t35)))) % 66.09/66.36 (define @t41 () (tptp.relation @t16)) % 66.09/66.36 (define @t42 () (@list @t1 @t2 @t16)) % 66.09/66.36 (define @t43 () (forall @t42 (=> @t41 @t40))) % 66.09/66.36 (define @t44 () (tptp.element @t1 @t2)) % 66.09/66.36 (define @t45 () (tptp.subset (tptp.fiber (tptp.relation_restriction @t16 @t1) @t2) (tptp.fiber @t16 @t2))) % 66.09/66.36 (define @t46 () (forall @t42 (=> @t41 @t45))) % 66.09/66.36 (define @t47 () (not @t46)) % 66.09/66.36 (define @t48 () (tptp.empty @t2)) % 66.09/66.36 (define @t49 () (tptp.element @t2 (tptp.powerset @t16))) % 66.09/66.36 (define @t50 () (forall @t42 (or (not @t41) @t45))) % 66.09/66.36 (define @t51 () (@quantifiers_skolemize @t50 2)) % 66.09/66.36 (define @t52 () (tptp.relation @t51)) % 66.09/66.36 (define @t53 () (@quantifiers_skolemize @t50 1)) % 66.09/66.36 (define @t54 () (tptp.fiber @t51 @t53)) % 66.09/66.36 (define @t55 () (@quantifiers_skolemize @t50 0)) % 66.09/66.36 (define @t56 () (tptp.relation_restriction @t51 @t55)) % 66.09/66.36 (define @t57 () (tptp.fiber @t56 @t53)) % 66.09/66.36 (define @t58 () (tptp.subset @t57 @t54)) % 66.09/66.36 (define @t59 () (not @t52)) % 66.09/66.36 (define @t60 () (or @t59 @t58)) % 66.09/66.36 (define @t61 () (@list true)) % 66.09/66.36 (define @t62 () (@list @t60)) % 66.09/66.36 (define @t63 () (forall @t29 (or (not (tptp.in @t16 @t57)) (tptp.in @t16 @t54)))) % 66.09/66.36 (define @t64 () (@quantifiers_skolemize @t63 0)) % 66.09/66.36 (define @t65 () (tptp.ordered_pair @t64 @t53)) % 66.09/66.36 (define @t66 () (@var "BOUND_VARIABLE_7592" $$unsorted)) % 66.09/66.36 (define @t67 () (tptp.in (tptp.ordered_pair @t12 @t66) @t1)) % 66.09/66.36 (define @t68 () (not (= @t66 @t12))) % 66.09/66.36 (define @t69 () (and @t68 @t67)) % 66.09/66.36 (define @t70 () (@var "BOUND_VARIABLE_7594" $$unsorted)) % 66.09/66.36 (define @t71 () (tptp.in @t12 @t70)) % 66.09/66.36 (define @t72 () (= @t71 @t69)) % 66.09/66.36 (define @t73 () (forall @t19 @t72)) % 66.09/66.36 (define @t74 () (= @t70 (tptp.fiber @t1 @t66))) % 66.09/66.36 (define @t75 () (= @t74 @t73)) % 66.09/66.36 (define @t76 () (not @t8)) % 66.09/66.36 (define @t77 () (or @t76 @t75)) % 66.09/66.36 (define @t78 () (@list @t1 @t66 @t70)) % 66.09/66.36 (define @t79 () (forall @t78 @t77)) % 66.09/66.36 (define @t80 () (@list @t66 @t70)) % 66.09/66.36 (define @t81 () (forall @t80 @t77)) % 66.09/66.36 (define @t82 () (forall @t80 @t75)) % 66.09/66.36 (define @t83 () (or @t76 @t82)) % 66.09/66.36 (define @t84 () (forall @t23 (= @t21 (forall @t19 (= @t17 (and (not (= @t2 @t12)) @t13)))))) % 66.09/66.36 (define @t85 () (tptp.in @t12 @t54)) % 66.09/66.36 (define @t86 () (tptp.ordered_pair @t12 @t53)) % 66.09/66.36 (define @t87 () (not (= @t12 @t53))) % 66.09/66.36 (define @t88 () (and @t87 (tptp.in @t86 @t51))) % 66.09/66.36 (define @t89 () (forall @t19 (= @t88 @t85))) % 66.09/66.36 (define @t90 () (forall @t19 (= @t85 @t88))) % 66.09/66.36 (define @t91 () (= (= @t54 @t54) @t90)) % 66.09/66.36 (define @t92 () (or @t59 @t91)) % 66.09/66.36 (define @t93 () (forall @t78 (or @t76 (= @t74 (forall @t19 (= @t71 (and (not (= @t12 @t66)) @t67))))))) % 66.09/66.36 (define @t94 () (or @t59 @t89)) % 66.09/66.36 (define @t95 () (@list false)) % 66.09/66.36 (define @t96 () (@list @t93)) % 66.09/66.36 (define @t97 () (@list false false)) % 66.09/66.36 (define @t98 () (tptp.in @t65 @t51)) % 66.09/66.36 (define @t99 () (not (= @t64 @t53))) % 66.09/66.36 (define @t100 () (and @t99 @t98)) % 66.09/66.36 (define @t101 () (tptp.in @t64 @t54)) % 66.09/66.36 (define @t102 () (= @t100 @t101)) % 66.09/66.36 (define @t103 () (@list @t64)) % 66.09/66.36 (define @t104 () (= @t53 @t64)) % 66.09/66.36 (define @t105 () (not @t104)) % 66.09/66.36 (define @t106 () (and @t105 @t98)) % 66.09/66.36 (define @t107 () (= @t101 @t106)) % 66.09/66.36 (define @t108 () (= @t58 @t63)) % 66.09/66.36 (define @t109 () (not @t63)) % 66.09/66.36 (define @t110 () (@list true false)) % 66.09/66.36 (define @t111 () (tptp.in @t64 @t57)) % 66.09/66.36 (define @t112 () (not @t111)) % 66.09/66.36 (define @t113 () (or @t112 @t101)) % 66.09/66.36 (define @t114 () (@list @t113)) % 66.09/66.36 (define @t115 () (not @t106)) % 66.09/66.36 (define @t116 () (forall @t19 (= (tptp.in @t12 @t57) (and @t87 (tptp.in @t86 @t56))))) % 66.09/66.36 (define @t117 () (= (= @t57 @t57) @t116)) % 66.09/66.36 (define @t118 () (tptp.relation @t56)) % 66.09/66.36 (define @t119 () (not @t118)) % 66.09/66.36 (define @t120 () (or @t119 @t117)) % 66.09/66.36 (define @t121 () (or @t119 @t116)) % 66.09/66.36 (define @t122 () (or @t59 @t118)) % 66.09/66.36 (define @t123 () (tptp.in @t65 @t56)) % 66.09/66.36 (define @t124 () (and @t99 @t123)) % 66.09/66.36 (define @t125 () (= @t111 @t124)) % 66.09/66.36 (define @t126 () (and @t105 @t123)) % 66.09/66.36 (define @t127 () (= @t111 @t126)) % 66.09/66.36 (define @t128 () (not @t126)) % 66.09/66.36 (define @t129 () (@list @t126)) % 66.09/66.36 (define @t130 () (not @t98)) % 66.09/66.36 (define @t131 () (and @t98 (tptp.in @t65 (tptp.cartesian_product2 @t55 @t55)))) % 66.09/66.36 (define @t132 () (not @t131)) % 66.09/66.36 (define @t133 () (= @t123 @t131)) % 66.09/66.36 (define @t134 () (not @t133)) % 66.09/66.36 (define @t135 () (or @t59 @t133)) % 66.09/66.36 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 66.09/66.36 (assume @p2 (forall @t7 (=> @t6 @t5))) % 66.09/66.36 (assume @p3 (forall @t7 (=> @t10 @t9))) % 66.09/66.36 (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 66.09/66.36 (assume @p5 (forall @t4 (= (tptp.set_intersection2 @t1 @t2) (tptp.set_intersection2 @t2 @t1)))) % 66.09/66.36 (assume @p6 @t26) % 66.09/66.36 (assume @p7 @t33) % 66.09/66.36 (assume @p8 (forall @t4 (= @t34 (tptp.unordered_pair @t11 (tptp.singleton @t1))))) % 66.09/66.36 (assume @p9 (forall @t7 (=> @t8 (forall @t37 (= @t36 (tptp.set_intersection2 @t1 @t35)))))) % 66.09/66.36 (assume @p10 true) % 66.09/66.36 (assume @p11 @t39) % 66.09/66.36 (assume @p12 (forall @t7 (exists @t37 (tptp.element @t2 @t1)))) % 66.09/66.36 (assume @p13 (tptp.empty tptp.empty_set)) % 66.09/66.36 (assume @p14 (forall @t4 (not (tptp.empty @t34)))) % 66.09/66.36 (assume @p15 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 66.09/66.36 (assume @p16 (exists @t7 (and @t8 @t5))) % 66.09/66.36 (assume @p17 (exists @t7 @t6)) % 66.09/66.36 (assume @p18 (exists @t7 @t10)) % 66.09/66.36 (assume @p19 (exists @t7 (not @t6))) % 66.09/66.36 (assume @p20 (exists @t7 @t9)) % 66.09/66.36 (assume @p21 (forall @t4 (tptp.subset @t1 @t1))) % 66.09/66.36 (assume @p22 @t43) % 66.09/66.36 (assume @p23 (forall @t4 (=> @t3 @t44))) % 66.09/66.36 (assume @p24 @t47) % 66.09/66.36 (assume @p25 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 66.09/66.36 (assume @p26 (forall @t4 (=> @t44 (or @t48 @t3)))) % 66.09/66.36 (assume @p27 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t31))) % 66.09/66.36 (assume @p28 (forall @t42 (=> (and @t3 @t49) (tptp.element @t1 @t16)))) % 66.09/66.36 (assume @p29 (forall @t42 (not (and @t3 @t49 (tptp.empty @t16))))) % 66.09/66.36 (assume @p30 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 66.09/66.36 (assume @p31 (forall @t4 (not (and @t3 @t48)))) % 66.09/66.36 (assume @p32 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t48)))) % 66.09/66.36 (step @p33 :rule bool-impl-elim :args (@t41 @t45)) % 66.09/66.36 (step @p34 :rule cong :premises (@p33) :args (@t46)) % 66.09/66.36 (step @p35 :rule cong :premises (@p34) :args (@t47)) % 66.09/66.36 (step @p36 :rule eq_resolve :premises (@p24 @p35)) % 66.09/66.36 (step @p37 :rule skolemize :premises (@p36)) % 66.09/66.36 (step @p38 :rule bool-double-not-elim :args (@t52)) % 66.09/66.36 (step @p39 :rule refl :args (@t60)) % 66.09/66.36 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t60 (not @t59)))) % 66.09/66.36 (step @p41 :rule cnf_or_neg :args (@t60 0)) % 66.09/66.36 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 66.09/66.36 (step @p43 :rule reordering :premises (@p42) :args ((or @t52 @t60))) % 66.09/66.36 (step @p44 :rule chain_m_resolution :premises (@p43 @p37) :args (@t52 @t61 @t62)) % 66.09/66.36 (step @p45 :rule bool-impl-elim :args (@t41 @t40)) % 66.09/66.36 (step @p46 :rule cong :premises (@p45) :args (@t43)) % 66.09/66.36 (step @p47 :rule eq_resolve :premises (@p22 @p46)) % 66.09/66.36 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t65 @t55 @t51))) % 66.09/66.36 (step @p49 :rule refl :args (@t67)) % 66.09/66.36 (step @p50 :rule eq-symm :args (@t66 @t12)) % 66.09/66.36 (step @p51 :rule cong :premises (@p50) :args (@t68)) % 66.09/66.36 (step @p52 :rule nary_cong :premises (@p51 @p49) :args (@t69)) % 66.09/66.36 (step @p53 :rule refl :args (@t71)) % 66.09/66.36 (step @p54 :rule cong :premises (@p53 @p52) :args (@t72)) % 66.09/66.36 (step @p55 :rule cong :premises (@p54) :args (@t73)) % 66.09/66.36 (step @p56 :rule refl :args (@t74)) % 66.09/66.36 (step @p57 :rule cong :premises (@p56 @p55) :args (@t75)) % 66.09/66.36 (step @p58 :rule refl :args (@t76)) % 66.09/66.36 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t77)) % 66.09/66.36 (step @p60 :rule cong :premises (@p59) :args (@t79)) % 66.09/66.36 (step @p61 :rule quant-merge-prenex :args ((= (forall @t7 @t81) @t79))) % 66.09/66.36 (step @p62 :rule alpha_equiv :args (@t82 (@list @t66 @t70) (@list @t2 @t16))) % 66.09/66.36 (step @p63 :rule refl :args (@t76)) % 66.09/66.36 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t83)) % 66.09/66.36 (step @p65 :rule quant-miniscope-or :args ((= @t81 @t83))) % 66.09/66.36 (step @p66 :rule trans :premises (@p65 @p64)) % 66.09/66.36 (step @p67 :rule symm :premises (@p66)) % 66.09/66.36 (step @p68 :rule cong :premises (@p67) :args ((forall @t7 (or @t76 @t84)))) % 66.09/66.36 (step @p69 :rule trans :premises (@p68 @p61)) % 66.09/66.36 (step @p70 :rule trans :premises (@p69 @p60)) % 66.09/66.36 (step @p71 :rule bool-impl-elim :args (@t8 @t84)) % 66.09/66.36 (step @p72 :rule cong :premises (@p71) :args ((forall @t7 (=> @t8 @t84)))) % 66.09/66.36 (step @p73 :rule trans :premises (@p72 @p70)) % 66.09/66.36 (step @p74 :rule refl :args (@t13)) % 66.09/66.36 (step @p75 :rule eq-symm :args (@t12 @t2)) % 66.09/66.36 (step @p76 :rule cong :premises (@p75) :args (@t14)) % 66.09/66.36 (step @p77 :rule nary_cong :premises (@p76 @p74) :args (@t15)) % 66.09/66.36 (step @p78 :rule refl :args (@t17)) % 66.09/66.36 (step @p79 :rule cong :premises (@p78 @p77) :args (@t18)) % 66.09/66.36 (step @p80 :rule cong :premises (@p79) :args (@t20)) % 66.09/66.36 (step @p81 :rule refl :args (@t21)) % 66.09/66.36 (step @p82 :rule cong :premises (@p81 @p80) :args (@t22)) % 66.09/66.36 (step @p83 :rule cong :premises (@p82) :args (@t24)) % 66.09/66.36 (step @p84 :rule refl :args (@t8)) % 66.09/66.36 (step @p85 :rule cong :premises (@p84 @p83) :args (@t25)) % 66.09/66.36 (step @p86 :rule cong :premises (@p85) :args (@t26)) % 66.09/66.36 (step @p87 :rule trans :premises (@p86 @p73)) % 66.09/66.36 (step @p88 :rule eq_resolve :premises (@p6 @p87)) % 66.09/66.36 (step @p89 :rule bool-eq-true :args (@t89)) % 66.09/66.36 (step @p90 :rule eq-symm :args (true @t89)) % 66.09/66.36 (step @p91 :rule trans :premises (@p90 @p89)) % 66.09/66.36 (step @p92 :rule eq-symm :args (@t85 @t88)) % 66.09/66.36 (step @p93 :rule cong :premises (@p92) :args (@t90)) % 66.09/66.36 (step @p94 :rule eq-refl :args (@t54)) % 66.09/66.36 (step @p95 :rule cong :premises (@p94 @p93) :args (@t91)) % 66.09/66.36 (step @p96 :rule trans :premises (@p95 @p91)) % 66.09/66.36 (step @p97 :rule refl :args (@t59)) % 66.09/66.36 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t92)) % 66.09/66.36 (step @p99 :rule refl :args (@t93)) % 66.09/66.36 (step @p100 :rule cong :premises (@p99 @p98) :args ((=> @t93 @t92))) % 66.09/66.36 (assume-push @p218 @t93) % 66.09/66.36 (step @p102 :rule instantiate :premises (@p88) :args ((@list @t51 @t53 @t54))) % 66.09/66.36 (step-pop @p219 :rule scope :premises (@p102)) % 66.09/66.36 (step @p103 :rule process_scope :premises (@p219) :args (@t92)) % 66.09/66.36 (step @p105 :rule eq_resolve :premises (@p103 @p100)) % 66.09/66.36 (step @p106 :rule implies_elim :premises (@p105)) % 66.09/66.36 (step @p107 :rule chain_m_resolution :premises (@p106 @p88) :args (@t94 @t95 @t96)) % 66.09/66.36 (step @p108 :rule cnf_or_pos :args (@t94)) % 66.09/66.36 (step @p109 :rule reordering :premises (@p108) :args ((or @t59 @t89 (not @t94)))) % 66.09/66.36 (step @p110 :rule chain_m_resolution :premises (@p109 @p44 @p107) :args (@t89 @t97 (@list @t52 @t94))) % 66.09/66.36 (step @p111 :rule refl :args (@t98)) % 66.09/66.36 (step @p112 :rule eq-symm :args (@t64 @t53)) % 66.09/66.36 (step @p113 :rule cong :premises (@p112) :args (@t99)) % 66.09/66.36 (step @p114 :rule nary_cong :premises (@p113 @p111) :args (@t100)) % 66.09/66.36 (step @p115 :rule refl :args (@t101)) % 66.09/66.36 (step @p116 :rule cong :premises (@p115 @p114) :args ((= @t101 @t100))) % 66.09/66.36 (step @p117 :rule eq-symm :args (@t100 @t101)) % 66.09/66.36 (step @p118 :rule trans :premises (@p117 @p116)) % 66.09/66.36 (step @p119 :rule refl :args (@t89)) % 66.09/66.36 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t89 @t102))) % 66.09/66.36 (assume-push @p220 @t89) % 66.09/66.36 (step @p122 :rule instantiate :premises (@p110) :args (@t103)) % 66.09/66.36 (step-pop @p221 :rule scope :premises (@p122)) % 66.09/66.36 (step @p123 :rule process_scope :premises (@p221) :args (@t102)) % 66.09/66.36 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 66.09/66.36 (step @p126 :rule implies_elim :premises (@p125)) % 66.09/66.36 (step @p127 :rule chain_m_resolution :premises (@p126 @p110) :args (@t107 @t95 (@list @t89))) % 66.09/66.36 (step @p128 :rule bool-impl-elim :args (@t28 @t27)) % 66.09/66.36 (step @p129 :rule cong :premises (@p128) :args (@t30)) % 66.09/66.36 (step @p130 :rule refl :args (@t31)) % 66.09/66.36 (step @p131 :rule cong :premises (@p130 @p129) :args (@t32)) % 66.09/66.36 (step @p132 :rule cong :premises (@p131) :args (@t33)) % 66.09/66.36 (step @p133 :rule eq_resolve :premises (@p7 @p132)) % 66.09/66.36 (step @p134 :rule instantiate :premises (@p133) :args ((@list @t57 @t54))) % 66.09/66.36 (step @p135 :rule cnf_or_neg :args (@t60 1)) % 66.09/66.36 (step @p136 :rule chain_m_resolution :premises (@p135 @p37) :args ((not @t58) @t61 @t62)) % 66.09/66.36 (step @p137 :rule cnf_equiv_pos2 :args (@t108)) % 66.09/66.36 (step @p138 :rule reordering :premises (@p137) :args ((or @t58 @t109 (not @t108)))) % 66.09/66.36 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p134) :args (@t109 @t110 (@list @t58 @t108))) % 66.09/66.36 (step @p140 :rule skolemize :premises (@p139)) % 66.09/66.36 (step @p141 :rule cnf_or_neg :args (@t113 1)) % 66.09/66.36 (step @p142 :rule chain_m_resolution :premises (@p141 @p140) :args ((not @t101) @t61 @t114)) % 66.09/66.36 (step @p143 :rule cnf_equiv_pos2 :args (@t107)) % 66.09/66.36 (step @p144 :rule reordering :premises (@p143) :args ((or @t101 @t115 (not @t107)))) % 66.09/66.36 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p127) :args (@t115 @t110 (@list @t101 @t107))) % 66.09/66.36 (step @p146 :rule bool-eq-true :args (@t116)) % 66.09/66.36 (step @p147 :rule eq-symm :args (true @t116)) % 66.09/66.36 (step @p148 :rule trans :premises (@p147 @p146)) % 66.09/66.36 (step @p149 :rule refl :args (@t116)) % 66.09/66.36 (step @p150 :rule eq-refl :args (@t57)) % 66.09/66.36 (step @p151 :rule cong :premises (@p150 @p149) :args (@t117)) % 66.09/66.36 (step @p152 :rule trans :premises (@p151 @p148)) % 66.09/66.36 (step @p153 :rule refl :args (@t119)) % 66.09/66.36 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t120)) % 66.09/66.36 (step @p155 :rule cong :premises (@p99 @p154) :args ((=> @t93 @t120))) % 66.09/66.36 (assume-push @p222 @t93) % 66.09/66.36 (step @p157 :rule instantiate :premises (@p88) :args ((@list @t56 @t53 @t57))) % 66.09/66.36 (step-pop @p223 :rule scope :premises (@p157)) % 66.09/66.36 (step @p158 :rule process_scope :premises (@p223) :args (@t120)) % 66.09/66.36 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 66.09/66.36 (step @p161 :rule implies_elim :premises (@p160)) % 66.09/66.36 (step @p162 :rule chain_m_resolution :premises (@p161 @p88) :args (@t121 @t95 @t96)) % 66.09/66.36 (step @p163 :rule bool-impl-elim :args (@t8 @t38)) % 66.09/66.36 (step @p164 :rule cong :premises (@p163) :args (@t39)) % 66.09/66.36 (step @p165 :rule eq_resolve :premises (@p11 @p164)) % 66.09/66.36 (step @p166 :rule instantiate :premises (@p165) :args ((@list @t51 @t55))) % 66.09/66.36 (step @p167 :rule cnf_or_pos :args (@t122)) % 66.09/66.36 (step @p168 :rule reordering :premises (@p167) :args ((or @t59 @t118 (not @t122)))) % 66.09/66.36 (step @p169 :rule chain_m_resolution :premises (@p168 @p44 @p166) :args (@t118 @t97 (@list @t52 @t122))) % 66.09/66.36 (step @p170 :rule cnf_or_pos :args (@t121)) % 66.09/66.36 (step @p171 :rule reordering :premises (@p170) :args ((or @t119 @t116 (not @t121)))) % 66.09/66.36 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p162) :args (@t116 @t97 (@list @t118 @t121))) % 66.09/66.36 (step @p173 :rule refl :args (@t123)) % 66.09/66.36 (step @p174 :rule nary_cong :premises (@p113 @p173) :args (@t124)) % 66.09/66.36 (step @p175 :rule refl :args (@t111)) % 66.09/66.36 (step @p176 :rule cong :premises (@p175 @p174) :args (@t125)) % 66.09/66.36 (step @p177 :rule cong :premises (@p149 @p176) :args ((=> @t116 @t125))) % 66.09/66.36 (assume-push @p224 @t116) % 66.09/66.36 (step @p179 :rule instantiate :premises (@p172) :args (@t103)) % 66.09/66.36 (step-pop @p225 :rule scope :premises (@p179)) % 66.09/66.36 (step @p180 :rule process_scope :premises (@p225) :args (@t125)) % 66.09/66.36 (step @p182 :rule eq_resolve :premises (@p180 @p177)) % 66.09/66.36 (step @p183 :rule implies_elim :premises (@p182)) % 66.09/66.36 (step @p184 :rule chain_m_resolution :premises (@p183 @p172) :args (@t127 @t95 (@list @t116))) % 66.09/66.36 (step @p185 :rule bool-double-not-elim :args (@t111)) % 66.09/66.36 (step @p186 :rule refl :args (@t113)) % 66.09/66.36 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or @t113 (not @t112)))) % 66.09/66.36 (step @p188 :rule cnf_or_neg :args (@t113 0)) % 66.09/66.36 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 66.09/66.36 (step @p190 :rule reordering :premises (@p189) :args ((or @t111 @t113))) % 66.09/66.36 (step @p191 :rule chain_m_resolution :premises (@p190 @p140) :args (@t111 @t61 @t114)) % 66.09/66.36 (step @p192 :rule cnf_equiv_pos1 :args (@t127)) % 66.09/66.36 (step @p193 :rule reordering :premises (@p192) :args ((or @t112 @t126 (not @t127)))) % 66.09/66.36 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p184) :args (@t126 @t97 (@list @t111 @t127))) % 66.09/66.36 (step @p195 :rule cnf_and_pos :args (@t126 0)) % 66.09/66.36 (step @p196 :rule reordering :premises (@p195) :args ((or @t105 @t128))) % 66.09/66.36 (step @p197 :rule chain_m_resolution :premises (@p196 @p194) :args (@t105 @t95 @t129)) % 66.09/66.36 (step @p198 :rule refl :args (@t130)) % 66.09/66.36 (step @p199 :rule bool-double-not-elim :args (@t104)) % 66.09/66.36 (step @p200 :rule refl :args (@t106)) % 66.09/66.36 (step @p201 :rule nary_cong :premises (@p200 @p199 @p198) :args ((or @t106 (not @t105) @t130))) % 66.09/66.36 (step @p202 :rule cnf_and_neg :args (@t106)) % 66.09/66.36 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 66.09/66.36 (step @p204 :rule reordering :premises (@p203) :args ((or @t104 @t106 @t130))) % 66.09/66.36 (step @p205 :rule chain_m_resolution :premises (@p204 @p197 @p145) :args (@t130 (@list true true) (@list @t104 @t106))) % 66.09/66.36 (step @p206 :rule cnf_and_pos :args (@t131 0)) % 66.09/66.36 (step @p207 :rule reordering :premises (@p206) :args ((or @t98 @t132))) % 66.09/66.36 (step @p208 :rule chain_m_resolution :premises (@p207 @p205) :args (@t132 @t61 (@list @t98))) % 66.09/66.36 (step @p209 :rule cnf_and_pos :args (@t126 1)) % 66.09/66.36 (step @p210 :rule reordering :premises (@p209) :args ((or @t123 @t128))) % 66.09/66.36 (step @p211 :rule chain_m_resolution :premises (@p210 @p194) :args (@t123 @t95 @t129)) % 66.09/66.36 (step @p212 :rule cnf_equiv_pos1 :args (@t133)) % 66.09/66.36 (step @p213 :rule reordering :premises (@p212) :args ((or (not @t123) @t131 @t134))) % 66.09/66.36 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p208) :args (@t134 (@list false true) (@list @t123 @t131))) % 66.09/66.36 (step @p215 :rule cnf_or_pos :args (@t135)) % 66.09/66.36 (step @p216 :rule reordering :premises (@p215) :args ((or @t59 @t133 (not @t135)))) % 66.09/66.36 (step @p217 false :rule chain_m_resolution :premises (@p216 @p214 @p48 @p44) :args (false (@list true false false) (@list @t133 @t135 @t52))) % 66.09/66.36 ) % 66.09/66.36 % SZS output end Proof % 66.09/66.36 % cvc5 exiting %------------------------------------------------------------------------------