%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU202+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 : n024.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 08:50:56 AM UTC 2026 % Result : Theorem 0.34s 0.56s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU202+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:38:00 EDT 2026 % 0.07/0.26 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.56 % SZS status Theorem % 0.34/0.56 % SZS output start Proof % 0.34/0.56 ( % 0.34/0.56 (declare-sort $$unsorted 0) % 0.34/0.56 (declare-const tptp.empty_set $$unsorted) % 0.34/0.56 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.34/0.56 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.34/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.34/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.34/0.56 (define @t3 () (tptp.in @t1 @t2)) % 0.34/0.56 (define @t4 () (@list @t1 @t2)) % 0.34/0.56 (define @t5 () (tptp.relation @t1)) % 0.34/0.56 (define @t6 () (tptp.empty @t1)) % 0.34/0.56 (define @t7 () (@list @t1)) % 0.34/0.56 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 0.34/0.56 (define @t9 () (@var "E" $$unsorted)) % 0.34/0.56 (define @t10 () (@var "D" $$unsorted)) % 0.34/0.56 (define @t11 () (tptp.ordered_pair @t10 @t9)) % 0.34/0.56 (define @t12 () (tptp.in @t11 @t1)) % 0.34/0.56 (define @t13 () (@var "C" $$unsorted)) % 0.34/0.56 (define @t14 () (tptp.in @t11 @t13)) % 0.34/0.56 (define @t15 () (@list @t10 @t9)) % 0.34/0.56 (define @t16 () (tptp.relation_dom_restriction @t1 @t2)) % 0.34/0.56 (define @t17 () (= (= @t13 @t16) (forall @t15 (= @t14 (and (tptp.in @t10 @t2) @t12))))) % 0.34/0.56 (define @t18 () (tptp.relation @t13)) % 0.34/0.56 (define @t19 () (@list @t2 @t13)) % 0.34/0.56 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.34/0.56 (define @t21 () (=> @t5 @t20)) % 0.34/0.56 (define @t22 () (forall @t7 @t21)) % 0.34/0.56 (define @t23 () (and (tptp.in @t9 @t1) (tptp.in @t11 @t2))) % 0.34/0.56 (define @t24 () (tptp.relation_rng_restriction @t1 @t2)) % 0.34/0.56 (define @t25 () (= (= @t13 @t24) (forall @t15 (= @t14 @t23)))) % 0.34/0.56 (define @t26 () (@list @t13)) % 0.34/0.56 (define @t27 () (forall @t26 (=> @t18 @t25))) % 0.34/0.56 (define @t28 () (tptp.relation @t2)) % 0.34/0.56 (define @t29 () (=> @t28 @t27)) % 0.34/0.56 (define @t30 () (forall @t4 @t29)) % 0.34/0.56 (define @t31 () (tptp.ordered_pair @t13 @t10)) % 0.34/0.56 (define @t32 () (= @t1 @t2)) % 0.34/0.56 (define @t33 () (@list @t2)) % 0.34/0.56 (define @t34 () (tptp.singleton @t1)) % 0.34/0.56 (define @t35 () (tptp.ordered_pair @t1 @t2)) % 0.34/0.56 (define @t36 () (tptp.relation @t16)) % 0.34/0.56 (define @t37 () (forall @t4 (=> @t5 @t36))) % 0.34/0.56 (define @t38 () (tptp.relation @t24)) % 0.34/0.56 (define @t39 () (forall @t4 (=> @t28 @t38))) % 0.34/0.56 (define @t40 () (tptp.empty tptp.empty_set)) % 0.34/0.56 (define @t41 () (not @t6)) % 0.34/0.56 (define @t42 () (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t13) @t2) (tptp.relation_rng_restriction @t1 (tptp.relation_dom_restriction @t13 @t2)))) % 0.34/0.56 (define @t43 () (@list @t1 @t2 @t13)) % 0.34/0.56 (define @t44 () (forall @t43 (=> @t18 @t42))) % 0.34/0.56 (define @t45 () (not @t44)) % 0.34/0.56 (define @t46 () (tptp.element @t1 @t2)) % 0.34/0.56 (define @t47 () (tptp.empty @t2)) % 0.34/0.56 (define @t48 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 0.34/0.56 (define @t49 () (tptp.in @t11 @t48)) % 0.34/0.56 (define @t50 () (forall @t15 (= @t49 @t23))) % 0.34/0.56 (define @t51 () (= (= @t48 @t24) @t50)) % 0.34/0.56 (define @t52 () (not (tptp.relation @t48))) % 0.34/0.56 (define @t53 () (not @t28)) % 0.34/0.56 (define @t54 () (or @t53 @t52 @t51)) % 0.34/0.56 (define @t55 () (or @t52 @t51)) % 0.34/0.56 (define @t56 () (or @t53 @t55)) % 0.34/0.56 (define @t57 () (@list @t1 @t2 @t48)) % 0.34/0.56 (define @t58 () (forall @t57 @t56)) % 0.34/0.56 (define @t59 () (@list @t48)) % 0.34/0.56 (define @t60 () (forall @t59 @t56)) % 0.34/0.56 (define @t61 () (forall @t59 @t55)) % 0.34/0.56 (define @t62 () (or @t53 @t61)) % 0.34/0.56 (define @t63 () (not @t18)) % 0.34/0.56 (define @t64 () (forall @t26 (or @t63 @t25))) % 0.34/0.56 (define @t65 () (forall @t43 (or @t63 @t42))) % 0.34/0.56 (define @t66 () (@quantifiers_skolemize @t65 2)) % 0.34/0.56 (define @t67 () (tptp.in @t11 @t66)) % 0.34/0.56 (define @t68 () (@quantifiers_skolemize @t65 0)) % 0.34/0.56 (define @t69 () (tptp.in @t9 @t68)) % 0.34/0.56 (define @t70 () (and @t69 @t67)) % 0.34/0.56 (define @t71 () (tptp.relation_rng_restriction @t68 @t66)) % 0.34/0.56 (define @t72 () (tptp.in @t11 @t71)) % 0.34/0.56 (define @t73 () (forall @t15 (= @t72 @t70))) % 0.34/0.56 (define @t74 () (forall @t15 (= @t70 @t72))) % 0.34/0.56 (define @t75 () (= (= @t71 @t71) @t74)) % 0.34/0.56 (define @t76 () (tptp.relation @t71)) % 0.34/0.56 (define @t77 () (not @t76)) % 0.34/0.56 (define @t78 () (tptp.relation @t66)) % 0.34/0.56 (define @t79 () (not @t78)) % 0.34/0.56 (define @t80 () (or @t79 @t77 @t75)) % 0.34/0.56 (define @t81 () (forall @t57 (or @t53 @t52 (= (= @t24 @t48) (forall @t15 (= @t23 @t49)))))) % 0.34/0.56 (define @t82 () (or @t79 @t77 @t73)) % 0.34/0.56 (define @t83 () (@list false)) % 0.34/0.56 (define @t84 () (@list @t81)) % 0.34/0.56 (define @t85 () (@quantifiers_skolemize @t65 1)) % 0.34/0.56 (define @t86 () (tptp.relation_dom_restriction @t66 @t85)) % 0.34/0.56 (define @t87 () (tptp.relation_rng_restriction @t68 @t86)) % 0.34/0.56 (define @t88 () (tptp.relation_dom_restriction @t71 @t85)) % 0.34/0.56 (define @t89 () (= @t88 @t87)) % 0.34/0.56 (define @t90 () (or @t79 @t89)) % 0.34/0.56 (define @t91 () (@list true)) % 0.34/0.56 (define @t92 () (@list @t90)) % 0.34/0.56 (define @t93 () (or @t79 @t76)) % 0.34/0.56 (define @t94 () (@list false false)) % 0.34/0.56 (define @t95 () (@list false false false)) % 0.34/0.56 (define @t96 () (tptp.in @t11 @t88)) % 0.34/0.56 (define @t97 () (tptp.in @t11 @t86)) % 0.34/0.56 (define @t98 () (forall @t15 (= (and @t69 @t97) @t96))) % 0.34/0.56 (define @t99 () (@quantifiers_skolemize @t98 1)) % 0.34/0.56 (define @t100 () (@quantifiers_skolemize @t98 0)) % 0.34/0.56 (define @t101 () (@list @t100 @t99)) % 0.34/0.56 (define @t102 () (tptp.ordered_pair @t100 @t99)) % 0.34/0.56 (define @t103 () (tptp.in @t102 @t66)) % 0.34/0.56 (define @t104 () (tptp.in @t99 @t68)) % 0.34/0.56 (define @t105 () (and @t104 @t103)) % 0.34/0.56 (define @t106 () (tptp.in @t102 @t71)) % 0.34/0.56 (define @t107 () (= @t106 @t105)) % 0.34/0.56 (define @t108 () (not @t107)) % 0.34/0.56 (define @t109 () (not @t105)) % 0.34/0.56 (define @t110 () (tptp.in @t100 @t85)) % 0.34/0.56 (define @t111 () (and @t110 @t106)) % 0.34/0.56 (define @t112 () (not @t111)) % 0.34/0.56 (define @t113 () (@var "BOUND_VARIABLE_7559" $$unsorted)) % 0.34/0.56 (define @t114 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.34/0.56 (define @t115 () (= (= @t114 (tptp.relation_dom_restriction @t1 @t113)) (forall @t15 (= (tptp.in @t11 @t114) (and (tptp.in @t10 @t113) @t12))))) % 0.34/0.56 (define @t116 () (not (tptp.relation @t114))) % 0.34/0.56 (define @t117 () (not @t5)) % 0.34/0.56 (define @t118 () (or @t117 @t116 @t115)) % 0.34/0.56 (define @t119 () (or @t116 @t115)) % 0.34/0.56 (define @t120 () (or @t117 @t119)) % 0.34/0.56 (define @t121 () (@list @t1 @t113 @t114)) % 0.34/0.56 (define @t122 () (forall @t121 @t120)) % 0.34/0.56 (define @t123 () (@list @t113 @t114)) % 0.34/0.56 (define @t124 () (forall @t123 @t120)) % 0.34/0.56 (define @t125 () (forall @t123 @t119)) % 0.34/0.56 (define @t126 () (or @t117 @t125)) % 0.34/0.56 (define @t127 () (forall @t19 (or @t63 @t17))) % 0.34/0.56 (define @t128 () (tptp.in @t10 @t85)) % 0.34/0.56 (define @t129 () (and @t128 @t72)) % 0.34/0.56 (define @t130 () (forall @t15 (= @t129 @t96))) % 0.34/0.56 (define @t131 () (forall @t15 (= @t96 @t129))) % 0.34/0.56 (define @t132 () (= (= @t88 @t88) @t131)) % 0.34/0.56 (define @t133 () (tptp.relation @t88)) % 0.34/0.56 (define @t134 () (not @t133)) % 0.34/0.56 (define @t135 () (or @t77 @t134 @t132)) % 0.34/0.56 (define @t136 () (forall @t121 @t118)) % 0.34/0.56 (define @t137 () (or @t77 @t134 @t130)) % 0.34/0.56 (define @t138 () (@list @t136)) % 0.34/0.56 (define @t139 () (or @t77 @t133)) % 0.34/0.56 (define @t140 () (tptp.in @t102 @t88)) % 0.34/0.56 (define @t141 () (= @t111 @t140)) % 0.34/0.56 (define @t142 () (= @t140 @t111)) % 0.34/0.56 (define @t143 () (not @t142)) % 0.34/0.56 (define @t144 () (not @t140)) % 0.34/0.56 (define @t145 () (= (= @t87 @t88) @t98)) % 0.34/0.56 (define @t146 () (tptp.relation @t86)) % 0.34/0.56 (define @t147 () (not @t146)) % 0.34/0.56 (define @t148 () (or @t147 @t134 @t145)) % 0.34/0.56 (define @t149 () (= @t89 @t98)) % 0.34/0.56 (define @t150 () (or @t147 @t134 @t149)) % 0.34/0.56 (define @t151 () (or @t79 @t146)) % 0.34/0.56 (define @t152 () (not @t98)) % 0.34/0.56 (define @t153 () (@list true false)) % 0.34/0.56 (define @t154 () (tptp.in @t102 @t86)) % 0.34/0.56 (define @t155 () (and @t104 @t154)) % 0.34/0.56 (define @t156 () (= @t155 @t140)) % 0.34/0.56 (define @t157 () (not @t155)) % 0.34/0.56 (define @t158 () (not @t103)) % 0.34/0.56 (define @t159 () (and @t128 @t67)) % 0.34/0.56 (define @t160 () (forall @t15 (= @t159 @t97))) % 0.34/0.56 (define @t161 () (forall @t15 (= @t97 @t159))) % 0.34/0.56 (define @t162 () (= (= @t86 @t86) @t161)) % 0.34/0.56 (define @t163 () (or @t79 @t147 @t162)) % 0.34/0.56 (define @t164 () (or @t79 @t147 @t160)) % 0.34/0.56 (define @t165 () (and @t110 @t103)) % 0.34/0.56 (define @t166 () (= @t165 @t154)) % 0.34/0.56 (define @t167 () (= @t154 @t165)) % 0.34/0.56 (define @t168 () (not @t167)) % 0.34/0.56 (define @t169 () (not @t154)) % 0.34/0.56 (define @t170 () (not @t165)) % 0.34/0.56 (define @t171 () (not @t106)) % 0.34/0.56 (define @t172 () (not @t110)) % 0.34/0.56 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.34/0.56 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.34/0.56 (assume @p3 (forall @t4 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 0.34/0.56 (assume @p4 @t22) % 0.34/0.56 (assume @p5 @t30) % 0.34/0.56 (assume @p6 (forall @t7 (=> @t5 (forall @t33 (=> @t28 (= @t32 (forall (@list @t13 @t10) (= (tptp.in @t31 @t1) (tptp.in @t31 @t2))))))))) % 0.34/0.56 (assume @p7 (forall @t4 (= @t35 (tptp.unordered_pair @t8 @t34)))) % 0.34/0.56 (assume @p8 true) % 0.34/0.56 (assume @p9 @t37) % 0.34/0.56 (assume @p10 @t39) % 0.34/0.56 (assume @p11 (forall @t7 (exists @t33 (tptp.element @t2 @t1)))) % 0.34/0.56 (assume @p12 @t40) % 0.34/0.56 (assume @p13 (forall @t4 (not (tptp.empty @t35)))) % 0.34/0.56 (assume @p14 (forall @t7 (not (tptp.empty @t34)))) % 0.34/0.56 (assume @p15 (forall @t4 (not (tptp.empty @t8)))) % 0.34/0.56 (assume @p16 (and @t40 (tptp.relation tptp.empty_set))) % 0.34/0.56 (assume @p17 (exists @t7 (and @t6 @t5))) % 0.34/0.56 (assume @p18 (exists @t7 @t6)) % 0.34/0.56 (assume @p19 (exists @t7 (and @t41 @t5))) % 0.34/0.56 (assume @p20 (exists @t7 @t41)) % 0.34/0.56 (assume @p21 @t45) % 0.34/0.56 (assume @p22 (forall @t4 (=> @t3 @t46))) % 0.34/0.56 (assume @p23 (forall @t4 (=> @t46 (or @t47 @t3)))) % 0.34/0.56 (assume @p24 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.34/0.56 (assume @p25 (forall @t4 (not (and @t3 @t47)))) % 0.34/0.56 (assume @p26 (forall @t4 (not (and @t6 (not @t32) @t47)))) % 0.34/0.56 (step @p27 :rule eq-symm :args (@t49 @t23)) % 0.34/0.56 (step @p28 :rule cong :premises (@p27) :args (@t50)) % 0.34/0.56 (step @p29 :rule eq-symm :args (@t48 @t24)) % 0.34/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args (@t51)) % 0.34/0.56 (step @p31 :rule refl :args (@t52)) % 0.34/0.56 (step @p32 :rule refl :args (@t53)) % 0.34/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t54)) % 0.34/0.56 (step @p34 :rule aci_norm :args ((= @t56 @t54))) % 0.34/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.34/0.56 (step @p36 :rule cong :premises (@p35) :args (@t58)) % 0.34/0.56 (step @p37 :rule quant-merge-prenex :args ((= (forall @t4 @t60) @t58))) % 0.34/0.56 (step @p38 :rule alpha_equiv :args (@t61 (@list @t48) (@list @t13))) % 0.34/0.56 (step @p39 :rule refl :args (@t53)) % 0.34/0.56 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t62)) % 0.34/0.56 (step @p41 :rule quant-miniscope-or :args ((= @t60 @t62))) % 0.34/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.34/0.56 (step @p43 :rule symm :premises (@p42)) % 0.34/0.56 (step @p44 :rule cong :premises (@p43) :args ((forall @t4 (or @t53 @t64)))) % 0.34/0.56 (step @p45 :rule trans :premises (@p44 @p37)) % 0.34/0.56 (step @p46 :rule trans :premises (@p45 @p36)) % 0.34/0.56 (step @p47 :rule bool-impl-elim :args (@t28 @t64)) % 0.34/0.56 (step @p48 :rule cong :premises (@p47) :args ((forall @t4 (=> @t28 @t64)))) % 0.34/0.56 (step @p49 :rule trans :premises (@p48 @p46)) % 0.34/0.56 (step @p50 :rule bool-impl-elim :args (@t18 @t25)) % 0.34/0.56 (step @p51 :rule cong :premises (@p50) :args (@t27)) % 0.34/0.56 (step @p52 :rule refl :args (@t28)) % 0.34/0.56 (step @p53 :rule cong :premises (@p52 @p51) :args (@t29)) % 0.34/0.56 (step @p54 :rule cong :premises (@p53) :args (@t30)) % 0.34/0.56 (step @p55 :rule trans :premises (@p54 @p49)) % 0.34/0.56 (step @p56 :rule eq_resolve :premises (@p5 @p55)) % 0.34/0.56 (step @p57 :rule bool-eq-true :args (@t73)) % 0.34/0.56 (step @p58 :rule eq-symm :args (true @t73)) % 0.34/0.56 (step @p59 :rule trans :premises (@p58 @p57)) % 0.34/0.56 (step @p60 :rule eq-symm :args (@t70 @t72)) % 0.34/0.56 (step @p61 :rule cong :premises (@p60) :args (@t74)) % 0.34/0.56 (step @p62 :rule eq-refl :args (@t71)) % 0.34/0.56 (step @p63 :rule cong :premises (@p62 @p61) :args (@t75)) % 0.34/0.56 (step @p64 :rule trans :premises (@p63 @p59)) % 0.34/0.56 (step @p65 :rule refl :args (@t77)) % 0.34/0.56 (step @p66 :rule refl :args (@t79)) % 0.34/0.56 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args (@t80)) % 0.34/0.56 (step @p68 :rule refl :args (@t81)) % 0.34/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t81 @t80))) % 0.34/0.56 (assume-push @p266 @t81) % 0.34/0.56 (step @p71 :rule instantiate :premises (@p56) :args ((@list @t68 @t66 @t71))) % 0.34/0.56 (step-pop @p267 :rule scope :premises (@p71)) % 0.34/0.56 (step @p72 :rule process_scope :premises (@p267) :args (@t80)) % 0.34/0.56 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.34/0.56 (step @p75 :rule implies_elim :premises (@p74)) % 0.34/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p56) :args (@t82 @t83 @t84)) % 0.34/0.56 (step @p77 :rule bool-impl-elim :args (@t28 @t38)) % 0.34/0.56 (step @p78 :rule cong :premises (@p77) :args (@t39)) % 0.34/0.56 (step @p79 :rule eq_resolve :premises (@p10 @p78)) % 0.34/0.56 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t68 @t66))) % 0.34/0.56 (step @p81 :rule bool-impl-elim :args (@t18 @t42)) % 0.34/0.56 (step @p82 :rule cong :premises (@p81) :args (@t44)) % 0.34/0.56 (step @p83 :rule cong :premises (@p82) :args (@t45)) % 0.34/0.56 (step @p84 :rule eq_resolve :premises (@p21 @p83)) % 0.34/0.56 (step @p85 :rule skolemize :premises (@p84)) % 0.34/0.56 (step @p86 :rule bool-double-not-elim :args (@t78)) % 0.34/0.56 (step @p87 :rule refl :args (@t90)) % 0.34/0.56 (step @p88 :rule 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(step @p114 :rule trans :premises (@p113 @p106)) % 0.34/0.56 (step @p115 :rule trans :premises (@p114 @p105)) % 0.34/0.56 (step @p116 :rule bool-impl-elim :args (@t5 @t127)) % 0.34/0.56 (step @p117 :rule cong :premises (@p116) :args ((forall @t7 (=> @t5 @t127)))) % 0.34/0.56 (step @p118 :rule trans :premises (@p117 @p115)) % 0.34/0.56 (step @p119 :rule bool-impl-elim :args (@t18 @t17)) % 0.34/0.56 (step @p120 :rule cong :premises (@p119) :args (@t20)) % 0.34/0.56 (step @p121 :rule refl :args (@t5)) % 0.34/0.56 (step @p122 :rule cong :premises (@p121 @p120) :args (@t21)) % 0.34/0.56 (step @p123 :rule cong :premises (@p122) :args (@t22)) % 0.34/0.56 (step @p124 :rule trans :premises (@p123 @p118)) % 0.34/0.56 (step @p125 :rule eq_resolve :premises (@p4 @p124)) % 0.34/0.56 (step @p126 :rule bool-eq-true :args (@t130)) % 0.34/0.56 (step @p127 :rule eq-symm :args (true @t130)) % 0.34/0.56 (step @p128 :rule trans :premises (@p127 @p126)) % 0.34/0.56 (step @p129 :rule eq-symm :args (@t96 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:args (@t137 @t83 @t138)) % 0.34/0.56 (step @p145 :rule bool-impl-elim :args (@t5 @t36)) % 0.34/0.56 (step @p146 :rule cong :premises (@p145) :args (@t37)) % 0.34/0.56 (step @p147 :rule eq_resolve :premises (@p9 @p146)) % 0.34/0.56 (step @p148 :rule instantiate :premises (@p147) :args ((@list @t71 @t85))) % 0.34/0.56 (step @p149 :rule cnf_or_pos :args (@t139)) % 0.34/0.56 (step @p150 :rule reordering :premises (@p149) :args ((or @t77 @t133 (not @t139)))) % 0.34/0.56 (step @p151 :rule chain_m_resolution :premises (@p150 @p95 @p148) :args (@t133 @t94 (@list @t76 @t139))) % 0.34/0.56 (step @p152 :rule cnf_or_pos :args (@t137)) % 0.34/0.56 (step @p153 :rule reordering :premises (@p152) :args ((or @t77 @t134 @t130 (not @t137)))) % 0.34/0.56 (step @p154 :rule chain_m_resolution :premises (@p153 @p95 @p151 @p144) :args (@t130 @t95 (@list @t76 @t133 @t137))) % 0.34/0.56 (step @p155 :rule eq-symm :args (@t111 @t140)) % 0.34/0.56 (step @p156 :rule refl :args (@t130)) % 0.34/0.56 (step @p157 :rule cong :premises (@p156 @p155) :args ((=> @t130 @t141))) % 0.34/0.56 (assume-push @p270 @t130) % 0.34/0.56 (step @p159 :rule instantiate :premises (@p154) :args (@t101)) % 0.34/0.56 (step-pop @p271 :rule scope :premises (@p159)) % 0.34/0.56 (step @p160 :rule process_scope :premises (@p271) :args (@t141)) % 0.34/0.56 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 0.34/0.56 (step @p163 :rule implies_elim :premises (@p162)) % 0.34/0.56 (step @p164 :rule chain_m_resolution :premises (@p163 @p154) :args (@t142 @t83 (@list @t130))) % 0.34/0.56 (step @p165 :rule cnf_equiv_pos1 :args (@t142)) % 0.34/0.56 (step @p166 :rule reordering :premises (@p165) :args ((or @t144 @t111 @t143))) % 0.34/0.56 (step @p167 :rule refl :args (@t98)) % 0.34/0.56 (step @p168 :rule eq-symm :args (@t87 @t88)) % 0.34/0.56 (step @p169 :rule cong :premises (@p168 @p167) :args (@t145)) % 0.34/0.56 (step @p170 :rule refl :args (@t147)) % 0.34/0.56 (step @p171 :rule nary_cong :premises (@p170 @p134 @p169) 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((or @t104 @t157))) % 0.34/0.56 (step @p197 :rule cnf_and_pos :args (@t155 1)) % 0.34/0.56 (step @p198 :rule reordering :premises (@p197) :args ((or @t154 @t157))) % 0.34/0.56 (step @p199 :rule cnf_and_neg :args (@t105)) % 0.34/0.56 (step @p200 :rule reordering :premises (@p199) :args ((or (not @t104) @t105 @t158))) % 0.34/0.56 (step @p201 :rule bool-eq-true :args (@t160)) % 0.34/0.56 (step @p202 :rule eq-symm :args (true @t160)) % 0.34/0.56 (step @p203 :rule trans :premises (@p202 @p201)) % 0.34/0.56 (step @p204 :rule eq-symm :args (@t97 @t159)) % 0.34/0.56 (step @p205 :rule cong :premises (@p204) :args (@t161)) % 0.34/0.56 (step @p206 :rule eq-refl :args (@t86)) % 0.34/0.56 (step @p207 :rule cong :premises (@p206 @p205) :args (@t162)) % 0.34/0.56 (step @p208 :rule trans :premises (@p207 @p203)) % 0.34/0.56 (step @p209 :rule nary_cong :premises (@p66 @p170 @p208) :args (@t163)) % 0.34/0.56 (step @p210 :rule cong :premises (@p136 @p209) :args ((=> @t136 @t163))) % 0.34/0.56 (assume-push @p274 @t136) % 0.34/0.56 (step @p212 :rule instantiate :premises (@p125) :args ((@list @t66 @t85 @t86))) % 0.34/0.56 (step-pop @p275 :rule scope :premises (@p212)) % 0.34/0.56 (step @p213 :rule process_scope :premises (@p275) :args (@t163)) % 0.34/0.56 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 0.34/0.56 (step @p216 :rule implies_elim :premises (@p215)) % 0.34/0.56 (step @p217 :rule chain_m_resolution :premises (@p216 @p125) :args (@t164 @t83 @t138)) % 0.34/0.56 (step @p218 :rule cnf_or_pos :args (@t164)) % 0.34/0.56 (step @p219 :rule reordering :premises (@p218) :args ((or @t79 @t147 @t160 (not @t164)))) % 0.34/0.56 (step @p220 :rule chain_m_resolution :premises (@p219 @p92 @p183 @p217) :args (@t160 @t95 (@list @t78 @t146 @t164))) % 0.34/0.56 (step @p221 :rule eq-symm :args (@t165 @t154)) % 0.34/0.56 (step @p222 :rule refl :args (@t160)) % 0.34/0.56 (step @p223 :rule cong :premises (@p222 @p221) :args ((=> @t160 @t166))) % 0.34/0.56 (assume-push @p276 @t160) % 0.34/0.56 (step @p225 :rule instantiate :premises (@p220) :args (@t101)) % 0.34/0.56 (step-pop @p277 :rule scope :premises (@p225)) % 0.34/0.56 (step @p226 :rule process_scope :premises (@p277) :args (@t166)) % 0.34/0.56 (step @p228 :rule eq_resolve :premises (@p226 @p223)) % 0.34/0.56 (step @p229 :rule implies_elim :premises (@p228)) % 0.34/0.56 (step @p230 :rule chain_m_resolution :premises (@p229 @p220) :args (@t167 @t83 (@list @t160))) % 0.34/0.56 (step @p231 :rule cnf_equiv_pos1 :args (@t167)) % 0.34/0.56 (step @p232 :rule reordering :premises (@p231) :args ((or @t169 @t165 @t168))) % 0.34/0.56 (step @p233 :rule cnf_and_pos :args (@t165 1)) % 0.34/0.56 (step @p234 :rule reordering :premises (@p233) :args ((or @t103 @t170))) % 0.34/0.56 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p230 @p200 @p198 @p196 @p194 @p192 @p166 @p164 @p103 @p101 @p99) :args (@t106 (@list false false true false false false true true false true true false) (@list @t165 @t167 @t103 @t154 @t104 @t155 @t156 @t140 @t142 @t111 @t105 @t107))) % 0.34/0.56 (step @p236 :rule cnf_equiv_pos1 :args (@t107)) % 0.34/0.56 (step @p237 :rule reordering :premises (@p236) :args ((or @t105 @t171 @t108))) % 0.34/0.56 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p99) :args (@t105 @t94 (@list @t106 @t107))) % 0.34/0.56 (step @p239 :rule cnf_and_pos :args (@t105 1)) % 0.34/0.56 (step @p240 :rule reordering :premises (@p239) :args ((or @t103 @t109))) % 0.34/0.56 (step @p241 :rule chain_m_resolution :premises (@p240 @p238) :args (@t103 @t83 (@list @t105))) % 0.34/0.56 (step @p242 :rule cnf_equiv_neg2 :args (@t156)) % 0.34/0.56 (step @p243 :rule cnf_and_neg :args (@t155)) % 0.34/0.56 (step @p244 :rule cnf_and_pos :args (@t105 0)) % 0.34/0.56 (step @p245 :rule reordering :premises (@p244) :args ((or @t104 @t109))) % 0.34/0.56 (step @p246 :rule chain_m_resolution :premises (@p237 @p99 @p245 @p103 @p243 @p166 @p164 @p242 @p192) :args ((or @t169 @t144) (@list false true false true false false true true) (@list @t107 @t105 @t106 @t104 @t111 @t142 @t155 @t156))) % 0.34/0.56 (step @p247 :rule cnf_equiv_pos2 :args (@t142)) % 0.34/0.56 (step @p248 :rule reordering :premises (@p247) :args ((or @t140 @t112 @t143))) % 0.34/0.56 (step @p249 :rule cnf_and_pos :args (@t165 0)) % 0.34/0.56 (step @p250 :rule reordering :premises (@p249) :args ((or @t110 @t170))) % 0.34/0.56 (step @p251 :rule cnf_and_neg :args (@t111)) % 0.34/0.56 (step @p252 :rule reordering :premises (@p251) :args ((or @t171 @t172 @t111))) % 0.34/0.56 (step @p253 :rule chain_m_resolution :premises (@p252 @p235 @p250 @p248 @p164 @p232 @p230 @p246) :args (@t169 (@list false false true false false false true) (@list @t106 @t110 @t111 @t142 @t165 @t167 @t140))) % 0.34/0.56 (step @p254 :rule cnf_equiv_pos2 :args (@t167)) % 0.34/0.56 (step @p255 :rule reordering :premises (@p254) :args ((or @t154 @t170 @t168))) % 0.34/0.56 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p230) :args (@t170 @t153 (@list @t154 @t167))) % 0.34/0.56 (step @p257 :rule cnf_and_neg :args (@t165)) % 0.34/0.56 (step @p258 :rule reordering :premises (@p257) :args ((or @t165 @t158 @t172))) % 0.34/0.56 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p241) :args (@t172 @t153 (@list @t165 @t103))) % 0.34/0.56 (step @p260 :rule chain_m_resolution :premises (@p198 @p253) :args (@t157 @t91 (@list @t154))) % 0.34/0.56 (step @p261 :rule chain_m_resolution :premises (@p194 @p260 @p192) :args (@t140 (@list true true) (@list @t155 @t156))) % 0.34/0.56 (step @p262 :rule chain_m_resolution :premises (@p166 @p261 @p164) :args (@t111 @t94 (@list @t140 @t142))) % 0.34/0.56 (step @p263 :rule cnf_and_pos :args (@t111 0)) % 0.34/0.56 (step @p264 :rule reordering :premises (@p263) :args ((or @t110 @t112))) % 0.34/0.56 (step @p265 false :rule chain_m_resolution :premises (@p264 @p262 @p259) :args (false (@list false true) (@list @t111 @t110))) % 0.34/0.56 ) % 0.34/0.56 % SZS output end Proof % 0.34/0.56 % cvc5 exiting %------------------------------------------------------------------------------