%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU246+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 : n023.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 08:51:07 AM UTC 2026 % Result : Theorem 0.53s 0.70s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SEU246+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n023.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 16:48:28 EDT 2026 % 0.19/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.70 % SZS status Theorem % 0.53/0.70 % SZS output start Proof % 0.53/0.70 ( % 0.53/0.70 (declare-sort $$unsorted 0) % 0.53/0.70 (declare-const tptp.empty_set $$unsorted) % 0.53/0.70 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.function (-> $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (define @t1 () (@var "A" $$unsorted)) % 0.53/0.70 (define @t2 () (@var "B" $$unsorted)) % 0.53/0.70 (define @t3 () (tptp.in @t1 @t2)) % 0.53/0.70 (define @t4 () (@list @t1 @t2)) % 0.53/0.70 (define @t5 () (tptp.function @t1)) % 0.53/0.70 (define @t6 () (tptp.empty @t1)) % 0.53/0.70 (define @t7 () (@list @t1)) % 0.53/0.70 (define @t8 () (tptp.relation @t1)) % 0.53/0.70 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.53/0.70 (define @t10 () (and @t8 @t6 @t5)) % 0.53/0.70 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 0.53/0.70 (define @t12 () (@var "E" $$unsorted)) % 0.53/0.70 (define @t13 () (@var "D" $$unsorted)) % 0.53/0.70 (define @t14 () (tptp.ordered_pair @t13 @t12)) % 0.53/0.70 (define @t15 () (tptp.in @t14 @t1)) % 0.53/0.70 (define @t16 () (@var "C" $$unsorted)) % 0.53/0.70 (define @t17 () (tptp.in @t14 @t16)) % 0.53/0.70 (define @t18 () (@list @t13 @t12)) % 0.53/0.70 (define @t19 () (tptp.relation_dom_restriction @t1 @t2)) % 0.53/0.70 (define @t20 () (= (= @t16 @t19) (forall @t18 (= @t17 (and (tptp.in @t13 @t2) @t15))))) % 0.53/0.70 (define @t21 () (tptp.relation @t16)) % 0.53/0.70 (define @t22 () (@list @t2 @t16)) % 0.53/0.70 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.53/0.70 (define @t24 () (=> @t8 @t23)) % 0.53/0.70 (define @t25 () (forall @t7 @t24)) % 0.53/0.70 (define @t26 () (and (tptp.in @t12 @t1) (tptp.in @t14 @t2))) % 0.53/0.70 (define @t27 () (tptp.relation_rng_restriction @t1 @t2)) % 0.53/0.70 (define @t28 () (= (= @t16 @t27) (forall @t18 (= @t17 @t26)))) % 0.53/0.70 (define @t29 () (@list @t16)) % 0.53/0.70 (define @t30 () (forall @t29 (=> @t21 @t28))) % 0.53/0.70 (define @t31 () (tptp.relation @t2)) % 0.53/0.70 (define @t32 () (=> @t31 @t30)) % 0.53/0.70 (define @t33 () (forall @t4 @t32)) % 0.53/0.70 (define @t34 () (tptp.ordered_pair @t16 @t13)) % 0.53/0.70 (define @t35 () (= @t1 @t2)) % 0.53/0.70 (define @t36 () (@list @t2)) % 0.53/0.70 (define @t37 () (tptp.ordered_pair @t1 @t2)) % 0.53/0.70 (define @t38 () (tptp.cartesian_product2 @t2 @t2)) % 0.53/0.70 (define @t39 () (tptp.relation_restriction @t1 @t2)) % 0.53/0.70 (define @t40 () (tptp.relation @t39)) % 0.53/0.70 (define @t41 () (forall @t4 (=> @t8 @t40))) % 0.53/0.70 (define @t42 () (tptp.relation @t19)) % 0.53/0.70 (define @t43 () (tptp.relation @t27)) % 0.53/0.70 (define @t44 () (forall @t4 (=> @t31 @t43))) % 0.53/0.70 (define @t45 () (and @t8 @t5)) % 0.53/0.70 (define @t46 () (tptp.in @t1 @t16)) % 0.53/0.70 (define @t47 () (= (tptp.in @t1 (tptp.relation_restriction @t16 @t2)) (and @t46 (tptp.in @t1 @t38)))) % 0.53/0.70 (define @t48 () (forall (@list @t1 @t2 @t16) (=> @t21 @t47))) % 0.53/0.70 (define @t49 () (= (tptp.relation_restriction @t2 @t1) (tptp.relation_dom_restriction @t27 @t1))) % 0.53/0.70 (define @t50 () (forall @t4 (=> @t31 @t49))) % 0.53/0.70 (define @t51 () (not @t50)) % 0.53/0.70 (define @t52 () (tptp.element @t1 @t2)) % 0.53/0.70 (define @t53 () (tptp.empty @t2)) % 0.53/0.70 (define @t54 () (@var "BOUND_VARIABLE_7639" $$unsorted)) % 0.53/0.70 (define @t55 () (tptp.in @t14 @t54)) % 0.53/0.70 (define @t56 () (forall @t18 (= @t55 @t26))) % 0.53/0.70 (define @t57 () (= (= @t54 @t27) @t56)) % 0.53/0.70 (define @t58 () (not (tptp.relation @t54))) % 0.53/0.70 (define @t59 () (not @t31)) % 0.53/0.70 (define @t60 () (or @t59 @t58 @t57)) % 0.53/0.70 (define @t61 () (or @t58 @t57)) % 0.53/0.70 (define @t62 () (or @t59 @t61)) % 0.53/0.70 (define @t63 () (@list @t1 @t2 @t54)) % 0.53/0.70 (define @t64 () (forall @t63 @t62)) % 0.53/0.70 (define @t65 () (@list @t54)) % 0.53/0.70 (define @t66 () (forall @t65 @t62)) % 0.53/0.70 (define @t67 () (forall @t65 @t61)) % 0.53/0.70 (define @t68 () (or @t59 @t67)) % 0.53/0.70 (define @t69 () (not @t21)) % 0.53/0.70 (define @t70 () (forall @t29 (or @t69 @t28))) % 0.53/0.70 (define @t71 () (forall @t4 (or @t59 @t49))) % 0.53/0.70 (define @t72 () (@quantifiers_skolemize @t71 1)) % 0.53/0.70 (define @t73 () (@quantifiers_skolemize @t71 0)) % 0.53/0.70 (define @t74 () (and (tptp.in @t12 @t73) (tptp.in @t14 @t72))) % 0.53/0.70 (define @t75 () (tptp.relation_rng_restriction @t73 @t72)) % 0.53/0.70 (define @t76 () (tptp.in @t14 @t75)) % 0.53/0.70 (define @t77 () (forall @t18 (= @t76 @t74))) % 0.53/0.70 (define @t78 () (forall @t18 (= @t74 @t76))) % 0.53/0.70 (define @t79 () (= (= @t75 @t75) @t78)) % 0.53/0.70 (define @t80 () (tptp.relation @t75)) % 0.53/0.70 (define @t81 () (not @t80)) % 0.53/0.70 (define @t82 () (tptp.relation @t72)) % 0.53/0.70 (define @t83 () (not @t82)) % 0.53/0.70 (define @t84 () (or @t83 @t81 @t79)) % 0.53/0.70 (define @t85 () (forall @t63 (or @t59 @t58 (= (= @t27 @t54) (forall @t18 (= @t26 @t55)))))) % 0.53/0.70 (define @t86 () (or @t83 @t81 @t77)) % 0.53/0.70 (define @t87 () (@list false)) % 0.53/0.70 (define @t88 () (tptp.relation_restriction @t72 @t73)) % 0.53/0.70 (define @t89 () (= @t88 (tptp.relation_dom_restriction @t75 @t73))) % 0.53/0.70 (define @t90 () (or @t83 @t89)) % 0.53/0.70 (define @t91 () (@list true)) % 0.53/0.70 (define @t92 () (@list @t90)) % 0.53/0.70 (define @t93 () (or @t83 @t80)) % 0.53/0.70 (define @t94 () (@list false false)) % 0.53/0.70 (define @t95 () (@list false false false)) % 0.53/0.70 (define @t96 () (tptp.in @t14 @t88)) % 0.53/0.70 (define @t97 () (and (tptp.in @t13 @t73) @t76)) % 0.53/0.70 (define @t98 () (forall @t18 (= @t97 @t96))) % 0.53/0.70 (define @t99 () (@quantifiers_skolemize @t98 1)) % 0.53/0.70 (define @t100 () (@quantifiers_skolemize @t98 0)) % 0.53/0.70 (define @t101 () (tptp.ordered_pair @t100 @t99)) % 0.53/0.70 (define @t102 () (tptp.in @t101 (tptp.cartesian_product2 @t73 @t73))) % 0.53/0.70 (define @t103 () (tptp.in @t101 @t72)) % 0.53/0.70 (define @t104 () (and @t103 @t102)) % 0.53/0.70 (define @t105 () (tptp.in @t101 @t88)) % 0.53/0.70 (define @t106 () (= @t105 @t104)) % 0.53/0.70 (define @t107 () (or @t83 @t106)) % 0.53/0.70 (define @t108 () (@var "BOUND_VARIABLE_7611" $$unsorted)) % 0.53/0.70 (define @t109 () (@var "BOUND_VARIABLE_7613" $$unsorted)) % 0.53/0.70 (define @t110 () (= (= @t109 (tptp.relation_dom_restriction @t1 @t108)) (forall @t18 (= (tptp.in @t14 @t109) (and (tptp.in @t13 @t108) @t15))))) % 0.53/0.70 (define @t111 () (not (tptp.relation @t109))) % 0.53/0.70 (define @t112 () (not @t8)) % 0.53/0.70 (define @t113 () (or @t112 @t111 @t110)) % 0.53/0.70 (define @t114 () (or @t111 @t110)) % 0.53/0.70 (define @t115 () (or @t112 @t114)) % 0.53/0.70 (define @t116 () (@list @t1 @t108 @t109)) % 0.53/0.70 (define @t117 () (forall @t116 @t115)) % 0.53/0.70 (define @t118 () (@list @t108 @t109)) % 0.53/0.70 (define @t119 () (forall @t118 @t115)) % 0.53/0.70 (define @t120 () (forall @t118 @t114)) % 0.53/0.70 (define @t121 () (or @t112 @t120)) % 0.53/0.70 (define @t122 () (forall @t22 (or @t69 @t20))) % 0.53/0.70 (define @t123 () (forall @t18 (= @t96 @t97))) % 0.53/0.70 (define @t124 () (= @t89 @t123)) % 0.53/0.70 (define @t125 () (tptp.relation @t88)) % 0.53/0.70 (define @t126 () (not @t125)) % 0.53/0.70 (define @t127 () (or @t81 @t126 @t124)) % 0.53/0.70 (define @t128 () (forall @t116 @t113)) % 0.53/0.70 (define @t129 () (= @t89 @t98)) % 0.53/0.70 (define @t130 () (or @t81 @t126 @t129)) % 0.53/0.70 (define @t131 () (or @t83 @t125)) % 0.53/0.70 (define @t132 () (not @t98)) % 0.53/0.70 (define @t133 () (@list true false)) % 0.53/0.70 (define @t134 () (tptp.in @t101 @t75)) % 0.53/0.70 (define @t135 () (tptp.in @t100 @t73)) % 0.53/0.70 (define @t136 () (and @t135 @t134)) % 0.53/0.70 (define @t137 () (= @t136 @t105)) % 0.53/0.70 (define @t138 () (not @t106)) % 0.53/0.70 (define @t139 () (not @t104)) % 0.53/0.70 (define @t140 () (not @t136)) % 0.53/0.70 (define @t141 () (tptp.in @t99 @t73)) % 0.53/0.70 (define @t142 () (and @t141 @t103)) % 0.53/0.70 (define @t143 () (not @t142)) % 0.53/0.70 (define @t144 () (= @t134 @t142)) % 0.53/0.70 (define @t145 () (not @t144)) % 0.53/0.70 (define @t146 () (not @t134)) % 0.53/0.70 (define @t147 () (and @t135 @t141)) % 0.53/0.70 (define @t148 () (= @t102 @t147)) % 0.53/0.70 (define @t149 () (not @t148)) % 0.53/0.70 (define @t150 () (not @t147)) % 0.53/0.70 (define @t151 () (not @t141)) % 0.53/0.70 (define @t152 () (@list @t147)) % 0.53/0.70 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.53/0.70 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.53/0.70 (assume @p3 (forall @t7 (=> @t10 @t9))) % 0.53/0.70 (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 0.53/0.70 (assume @p5 (forall @t4 (= (tptp.set_intersection2 @t1 @t2) (tptp.set_intersection2 @t2 @t1)))) % 0.53/0.70 (assume @p6 @t25) % 0.53/0.70 (assume @p7 @t33) % 0.53/0.70 (assume @p8 (forall @t7 (=> @t8 (forall @t36 (=> @t31 (= @t35 (forall (@list @t16 @t13) (= (tptp.in @t34 @t1) (tptp.in @t34 @t2))))))))) % 0.53/0.70 (assume @p9 (forall @t4 (= @t37 (tptp.unordered_pair @t11 (tptp.singleton @t1))))) % 0.53/0.70 (assume @p10 (forall @t7 (=> @t8 (forall @t36 (= @t39 (tptp.set_intersection2 @t1 @t38)))))) % 0.53/0.70 (assume @p11 true) % 0.53/0.70 (assume @p12 @t41) % 0.53/0.70 (assume @p13 (forall @t4 (=> @t8 @t42))) % 0.53/0.70 (assume @p14 @t44) % 0.53/0.70 (assume @p15 (forall @t7 (exists @t36 (tptp.element @t2 @t1)))) % 0.53/0.70 (assume @p16 (tptp.empty tptp.empty_set)) % 0.53/0.70 (assume @p17 (forall @t4 (not (tptp.empty @t37)))) % 0.53/0.70 (assume @p18 (forall @t4 (=> @t45 (and @t42 (tptp.function @t19))))) % 0.53/0.70 (assume @p19 (forall @t4 (=> (and @t31 (tptp.function @t2)) (and @t43 (tptp.function @t27))))) % 0.53/0.70 (assume @p20 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.53/0.70 (assume @p21 (exists @t7 @t45)) % 0.53/0.70 (assume @p22 (exists @t7 @t6)) % 0.53/0.70 (assume @p23 (exists @t7 @t10)) % 0.53/0.70 (assume @p24 (exists @t7 (not @t6))) % 0.53/0.70 (assume @p25 (exists @t7 @t9)) % 0.53/0.70 (assume @p26 (forall (@list @t1 @t2 @t16 @t13) (= (tptp.in @t37 (tptp.cartesian_product2 @t16 @t13)) (and @t46 (tptp.in @t2 @t13))))) % 0.53/0.70 (assume @p27 @t48) % 0.53/0.70 (assume @p28 @t51) % 0.53/0.70 (assume @p29 (forall @t4 (=> @t3 @t52))) % 0.53/0.70 (assume @p30 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.53/0.70 (assume @p31 (forall @t4 (=> @t52 (or @t53 @t3)))) % 0.53/0.70 (assume @p32 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.53/0.70 (assume @p33 (forall @t4 (not (and @t3 @t53)))) % 0.53/0.70 (assume @p34 (forall @t4 (not (and @t6 (not @t35) @t53)))) % 0.53/0.70 (step @p35 :rule eq-symm :args (@t55 @t26)) % 0.53/0.70 (step @p36 :rule cong :premises (@p35) :args (@t56)) % 0.53/0.70 (step @p37 :rule eq-symm :args (@t54 @t27)) % 0.53/0.70 (step @p38 :rule cong :premises (@p37 @p36) :args (@t57)) % 0.53/0.70 (step @p39 :rule refl :args (@t58)) % 0.53/0.70 (step @p40 :rule refl :args (@t59)) % 0.53/0.70 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t60)) % 0.53/0.70 (step @p42 :rule aci_norm :args ((= @t62 @t60))) % 0.53/0.70 (step @p43 :rule trans :premises (@p42 @p41)) % 0.53/0.70 (step @p44 :rule cong :premises (@p43) :args (@t64)) % 0.53/0.70 (step @p45 :rule quant-merge-prenex :args ((= (forall @t4 @t66) @t64))) % 0.53/0.70 (step @p46 :rule alpha_equiv :args (@t67 (@list @t54) (@list @t16))) % 0.53/0.70 (step @p47 :rule refl :args (@t59)) % 0.53/0.70 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t68)) % 0.53/0.70 (step @p49 :rule quant-miniscope-or :args ((= @t66 @t68))) % 0.53/0.70 (step @p50 :rule trans :premises (@p49 @p48)) % 0.53/0.70 (step @p51 :rule symm :premises (@p50)) % 0.53/0.70 (step @p52 :rule cong :premises (@p51) :args ((forall @t4 (or @t59 @t70)))) % 0.53/0.70 (step @p53 :rule trans :premises (@p52 @p45)) % 0.53/0.70 (step @p54 :rule trans :premises (@p53 @p44)) % 0.53/0.70 (step @p55 :rule bool-impl-elim :args (@t31 @t70)) % 0.53/0.70 (step @p56 :rule cong :premises (@p55) :args ((forall @t4 (=> @t31 @t70)))) % 0.53/0.70 (step @p57 :rule trans :premises (@p56 @p54)) % 0.53/0.70 (step @p58 :rule bool-impl-elim :args (@t21 @t28)) % 0.53/0.70 (step @p59 :rule cong :premises (@p58) :args (@t30)) % 0.53/0.70 (step @p60 :rule refl :args (@t31)) % 0.53/0.70 (step @p61 :rule cong :premises (@p60 @p59) :args (@t32)) % 0.53/0.70 (step @p62 :rule cong :premises (@p61) :args (@t33)) % 0.53/0.70 (step @p63 :rule trans :premises (@p62 @p57)) % 0.53/0.70 (step @p64 :rule eq_resolve :premises (@p7 @p63)) % 0.53/0.70 (step @p65 :rule bool-eq-true :args (@t77)) % 0.53/0.70 (step @p66 :rule eq-symm :args (true @t77)) % 0.53/0.70 (step @p67 :rule trans :premises (@p66 @p65)) % 0.53/0.70 (step @p68 :rule eq-symm :args (@t74 @t76)) % 0.53/0.70 (step @p69 :rule cong :premises (@p68) :args (@t78)) % 0.53/0.70 (step @p70 :rule eq-refl :args (@t75)) % 0.53/0.70 (step @p71 :rule cong :premises (@p70 @p69) :args (@t79)) % 0.53/0.70 (step @p72 :rule trans :premises (@p71 @p67)) % 0.53/0.70 (step @p73 :rule refl :args (@t81)) % 0.53/0.70 (step @p74 :rule refl :args (@t83)) % 0.53/0.70 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args (@t84)) % 0.53/0.70 (step @p76 :rule refl :args (@t85)) % 0.53/0.70 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t85 @t84))) % 0.53/0.70 (assume-push @p217 @t85) % 0.53/0.70 (step @p79 :rule instantiate :premises (@p64) :args ((@list @t73 @t72 @t75))) % 0.53/0.70 (step-pop @p218 :rule scope :premises (@p79)) % 0.53/0.70 (step @p80 :rule process_scope :premises (@p218) :args (@t84)) % 0.53/0.70 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 0.53/0.70 (step @p83 :rule implies_elim :premises (@p82)) % 0.53/0.70 (step @p84 :rule chain_m_resolution :premises (@p83 @p64) :args (@t86 @t87 (@list @t85))) % 0.53/0.70 (step @p85 :rule bool-impl-elim :args (@t31 @t43)) % 0.53/0.70 (step @p86 :rule cong :premises (@p85) :args (@t44)) % 0.53/0.70 (step @p87 :rule eq_resolve :premises (@p14 @p86)) % 0.53/0.70 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t73 @t72))) % 0.53/0.70 (step @p89 :rule bool-impl-elim :args (@t31 @t49)) % 0.53/0.70 (step @p90 :rule cong :premises (@p89) :args (@t50)) % 0.53/0.70 (step @p91 :rule cong :premises (@p90) :args (@t51)) % 0.53/0.70 (step @p92 :rule eq_resolve :premises (@p28 @p91)) % 0.53/0.70 (step @p93 :rule skolemize :premises (@p92)) % 0.53/0.70 (step @p94 :rule bool-double-not-elim :args (@t82)) % 0.53/0.70 (step @p95 :rule refl :args (@t90)) % 0.53/0.70 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t90 (not @t83)))) % 0.53/0.70 (step @p97 :rule cnf_or_neg :args (@t90 0)) % 0.53/0.70 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.53/0.70 (step @p99 :rule reordering :premises (@p98) :args ((or @t82 @t90))) % 0.53/0.70 (step @p100 :rule chain_m_resolution :premises (@p99 @p93) :args (@t82 @t91 @t92)) % 0.53/0.70 (step @p101 :rule cnf_or_pos :args (@t93)) % 0.53/0.70 (step @p102 :rule reordering :premises (@p101) :args ((or @t83 @t80 (not @t93)))) % 0.53/0.70 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p88) :args (@t80 @t94 (@list @t82 @t93))) % 0.53/0.70 (step @p104 :rule cnf_or_pos :args (@t86)) % 0.53/0.70 (step @p105 :rule reordering :premises (@p104) :args ((or @t83 @t81 @t77 (not @t86)))) % 0.53/0.70 (step @p106 :rule chain_m_resolution :premises (@p105 @p100 @p103 @p84) :args (@t77 @t95 (@list @t82 @t80 @t86))) % 0.53/0.70 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t100 @t99))) % 0.53/0.70 (step @p108 :rule instantiate :premises (@p26) :args ((@list @t100 @t99 @t73 @t73))) % 0.53/0.70 (step @p109 :rule bool-impl-elim :args (@t21 @t47)) % 0.53/0.70 (step @p110 :rule cong :premises (@p109) :args (@t48)) % 0.53/0.70 (step @p111 :rule eq_resolve :premises (@p27 @p110)) % 0.53/0.70 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t101 @t73 @t72))) % 0.53/0.70 (step @p113 :rule cnf_or_pos :args (@t107)) % 0.53/0.70 (step @p114 :rule reordering :premises (@p113) :args ((or @t83 @t106 (not @t107)))) % 0.53/0.70 (step @p115 :rule chain_m_resolution :premises (@p114 @p100 @p112) :args (@t106 @t94 (@list @t82 @t107))) % 0.53/0.70 (step @p116 :rule aci_norm :args ((= @t115 @t113))) % 0.53/0.70 (step @p117 :rule cong :premises (@p116) :args (@t117)) % 0.53/0.70 (step @p118 :rule quant-merge-prenex :args ((= (forall @t7 @t119) @t117))) % 0.53/0.70 (step @p119 :rule alpha_equiv :args (@t120 (@list @t108 @t109) (@list @t2 @t16))) % 0.53/0.70 (step @p120 :rule refl :args (@t112)) % 0.53/0.70 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t121)) % 0.53/0.70 (step @p122 :rule quant-miniscope-or :args ((= @t119 @t121))) % 0.53/0.70 (step @p123 :rule trans :premises (@p122 @p121)) % 0.53/0.70 (step @p124 :rule symm :premises (@p123)) % 0.53/0.70 (step @p125 :rule cong :premises (@p124) :args ((forall @t7 (or @t112 @t122)))) % 0.53/0.70 (step @p126 :rule trans :premises (@p125 @p118)) % 0.53/0.70 (step @p127 :rule trans :premises (@p126 @p117)) % 0.53/0.70 (step @p128 :rule bool-impl-elim :args (@t8 @t122)) % 0.53/0.70 (step @p129 :rule cong :premises (@p128) :args ((forall @t7 (=> @t8 @t122)))) % 0.53/0.70 (step @p130 :rule trans :premises (@p129 @p127)) % 0.53/0.70 (step @p131 :rule bool-impl-elim :args (@t21 @t20)) % 0.53/0.70 (step @p132 :rule cong :premises (@p131) :args (@t23)) % 0.53/0.70 (step @p133 :rule refl :args (@t8)) % 0.53/0.70 (step @p134 :rule cong :premises (@p133 @p132) :args (@t24)) % 0.53/0.70 (step @p135 :rule cong :premises (@p134) :args (@t25)) % 0.53/0.70 (step @p136 :rule trans :premises (@p135 @p130)) % 0.53/0.70 (step @p137 :rule eq_resolve :premises (@p6 @p136)) % 0.53/0.70 (step @p138 :rule eq-symm :args (@t96 @t97)) % 0.53/0.70 (step @p139 :rule cong :premises (@p138) :args (@t123)) % 0.53/0.70 (step @p140 :rule refl :args (@t89)) % 0.53/0.70 (step @p141 :rule cong :premises (@p140 @p139) :args (@t124)) % 0.53/0.70 (step @p142 :rule refl :args (@t126)) % 0.53/0.70 (step @p143 :rule nary_cong :premises (@p73 @p142 @p141) :args (@t127)) % 0.53/0.70 (step @p144 :rule refl :args (@t128)) % 0.53/0.70 (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t128 @t127))) % 0.53/0.70 (assume-push @p219 @t128) % 0.53/0.70 (step @p147 :rule instantiate :premises (@p137) :args ((@list @t75 @t73 @t88))) % 0.53/0.70 (step-pop @p220 :rule scope :premises (@p147)) % 0.53/0.70 (step @p148 :rule process_scope :premises (@p220) :args (@t127)) % 0.53/0.70 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 0.53/0.70 (step @p151 :rule implies_elim :premises (@p150)) % 0.53/0.70 (step @p152 :rule chain_m_resolution :premises (@p151 @p137) :args (@t130 @t87 (@list @t128))) % 0.53/0.70 (step @p153 :rule bool-impl-elim :args (@t8 @t40)) % 0.53/0.70 (step @p154 :rule cong :premises (@p153) :args (@t41)) % 0.53/0.70 (step @p155 :rule eq_resolve :premises (@p12 @p154)) % 0.53/0.70 (step @p156 :rule instantiate :premises (@p155) :args ((@list @t72 @t73))) % 0.53/0.70 (step @p157 :rule cnf_or_pos :args (@t131)) % 0.53/0.70 (step @p158 :rule reordering :premises (@p157) :args ((or @t83 @t125 (not @t131)))) % 0.53/0.70 (step @p159 :rule chain_m_resolution :premises (@p158 @p100 @p156) :args (@t125 @t94 (@list @t82 @t131))) % 0.53/0.70 (step @p160 :rule cnf_or_pos :args (@t130)) % 0.53/0.70 (step @p161 :rule reordering :premises (@p160) :args ((or @t81 @t126 @t129 (not @t130)))) % 0.53/0.70 (step @p162 :rule chain_m_resolution :premises (@p161 @p103 @p159 @p152) :args (@t129 @t95 (@list @t80 @t125 @t130))) % 0.53/0.70 (step @p163 :rule cnf_or_neg :args (@t90 1)) % 0.53/0.70 (step @p164 :rule chain_m_resolution :premises (@p163 @p93) :args ((not @t89) @t91 @t92)) % 0.53/0.70 (step @p165 :rule cnf_equiv_pos2 :args (@t129)) % 0.53/0.70 (step @p166 :rule reordering :premises (@p165) :args ((or @t89 @t132 (not @t129)))) % 0.53/0.70 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p162) :args (@t132 @t133 (@list @t89 @t129))) % 0.53/0.70 (step @p168 :rule skolemize :premises (@p167)) % 0.53/0.70 (step @p169 :rule cnf_equiv_neg1 :args (@t137)) % 0.53/0.70 (step @p170 :rule reordering :premises (@p169) :args ((or @t136 @t105 @t137))) % 0.53/0.70 (step @p171 :rule cnf_equiv_pos2 :args (@t106)) % 0.53/0.70 (step @p172 :rule reordering :premises (@p171) :args ((or @t105 @t139 @t138))) % 0.53/0.70 (step @p173 :rule cnf_and_pos :args (@t136 0)) % 0.53/0.70 (step @p174 :rule reordering :premises (@p173) :args ((or @t135 @t140))) % 0.53/0.70 (step @p175 :rule cnf_and_pos :args (@t136 1)) % 0.53/0.70 (step @p176 :rule reordering :premises (@p175) :args ((or @t134 @t140))) % 0.53/0.70 (step @p177 :rule cnf_and_pos :args (@t104 0)) % 0.53/0.70 (step @p178 :rule reordering :premises (@p177) :args ((or @t103 @t139))) % 0.53/0.70 (step @p179 :rule cnf_and_pos :args (@t142 1)) % 0.53/0.70 (step @p180 :rule reordering :premises (@p179) :args ((or @t103 @t143))) % 0.53/0.70 (step @p181 :rule cnf_equiv_pos1 :args (@t106)) % 0.53/0.70 (step @p182 :rule reordering :premises (@p181) :args ((or (not @t105) @t104 @t138))) % 0.53/0.70 (step @p183 :rule cnf_equiv_pos1 :args (@t144)) % 0.53/0.70 (step @p184 :rule reordering :premises (@p183) :args ((or @t146 @t142 @t145))) % 0.53/0.70 (step @p185 :rule chain_m_resolution :premises (@p176 @p170 @p168 @p184 @p107 @p182 @p115 @p180 @p178) :args (@t103 (@list false true true false true false true true) (@list @t136 @t137 @t134 @t144 @t105 @t106 @t142 @t104))) % 0.53/0.70 (step @p186 :rule cnf_and_neg :args (@t104)) % 0.53/0.70 (step @p187 :rule cnf_equiv_pos2 :args (@t148)) % 0.53/0.70 (step @p188 :rule reordering :premises (@p187) :args ((or @t102 @t150 @t149))) % 0.53/0.70 (step @p189 :rule cnf_and_pos :args (@t142 0)) % 0.53/0.70 (step @p190 :rule reordering :premises (@p189) :args ((or @t141 @t143))) % 0.53/0.70 (step @p191 :rule cnf_and_neg :args (@t147)) % 0.53/0.70 (step @p192 :rule reordering :premises (@p191) :args ((or (not @t135) @t147 @t151))) % 0.53/0.70 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p188 @p108 @p184 @p107 @p186 @p185 @p176 @p174 @p172 @p115 @p170 @p168) :args (@t105 (@list false true false false false true false false false true false false true) (@list @t141 @t147 @t148 @t142 @t144 @t102 @t103 @t134 @t135 @t104 @t106 @t136 @t137))) % 0.53/0.70 (step @p194 :rule chain_m_resolution :premises (@p182 @p193 @p115) :args (@t104 @t94 (@list @t105 @t106))) % 0.53/0.70 (step @p195 :rule cnf_and_pos :args (@t104 1)) % 0.53/0.70 (step @p196 :rule reordering :premises (@p195) :args ((or @t102 @t139))) % 0.53/0.70 (step @p197 :rule chain_m_resolution :premises (@p196 @p194) :args (@t102 @t87 (@list @t104))) % 0.53/0.70 (step @p198 :rule cnf_equiv_pos1 :args (@t148)) % 0.53/0.70 (step @p199 :rule reordering :premises (@p198) :args ((or (not @t102) @t147 @t149))) % 0.53/0.70 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p108) :args (@t147 @t94 (@list @t102 @t148))) % 0.53/0.70 (step @p201 :rule cnf_and_pos :args (@t147 0)) % 0.53/0.70 (step @p202 :rule reordering :premises (@p201) :args ((or @t135 @t150))) % 0.53/0.70 (step @p203 :rule chain_m_resolution :premises (@p202 @p200) :args (@t135 @t87 @t152)) % 0.53/0.70 (step @p204 :rule cnf_equiv_neg2 :args (@t137)) % 0.53/0.70 (step @p205 :rule chain_m_resolution :premises (@p204 @p168 @p193) :args (@t140 @t133 (@list @t137 @t105))) % 0.53/0.70 (step @p206 :rule cnf_and_neg :args (@t136)) % 0.53/0.70 (step @p207 :rule chain_m_resolution :premises (@p206 @p205 @p203) :args (@t146 @t133 (@list @t136 @t135))) % 0.53/0.70 (step @p208 :rule cnf_and_pos :args (@t147 1)) % 0.53/0.70 (step @p209 :rule reordering :premises (@p208) :args ((or @t141 @t150))) % 0.53/0.70 (step @p210 :rule chain_m_resolution :premises (@p209 @p200) :args (@t141 @t87 @t152)) % 0.53/0.70 (step @p211 :rule cnf_and_neg :args (@t142)) % 0.53/0.70 (step @p212 :rule reordering :premises (@p211) :args ((or (not @t103) @t142 @t151))) % 0.53/0.70 (step @p213 :rule chain_m_resolution :premises (@p212 @p185 @p210) :args (@t142 @t94 (@list @t103 @t141))) % 0.53/0.70 (step @p214 :rule cnf_equiv_pos2 :args (@t144)) % 0.53/0.70 (step @p215 :rule reordering :premises (@p214) :args ((or @t134 @t143 @t145))) % 0.53/0.70 (step @p216 false :rule chain_m_resolution :premises (@p215 @p213 @p207 @p107) :args (false (@list false true false) (@list @t142 @t134 @t144))) % 0.53/0.70 ) % 0.53/0.70 % SZS output end Proof % 0.53/0.70 % cvc5 exiting %------------------------------------------------------------------------------