%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET919+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:48:59 AM UTC 2026 % Result : Theorem 211.68s 211.91s % Output : Proof 211.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET919+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:17:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 211.68/211.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 211.68/211.91 --- Run --no-e-matching --full-saturate-quant at 6... % 211.68/211.91 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 211.68/211.91 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 211.68/211.91 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 211.68/211.91 --- Run --trigger-sel=max --full-saturate-quant at 15... % 211.68/211.91 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 211.68/211.91 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 211.68/211.91 --- Run --prenex-quant=none --full-saturate-quant at 30... % 211.68/211.91 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 211.68/211.91 --- Run --relevant-triggers --full-saturate-quant at 30... % 211.68/211.91 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 211.68/211.91 % SZS status Theorem % 211.68/211.91 % SZS output start Proof % 211.68/211.91 ( % 211.68/211.91 (declare-sort $$unsorted 0) % 211.68/211.91 (declare-const tptp.empty (-> $$unsorted Bool)) % 211.68/211.91 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 211.68/211.91 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 211.68/211.91 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 211.68/211.91 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 211.68/211.91 (define @t1 () (@var "A" $$unsorted)) % 211.68/211.91 (define @t2 () (@var "B" $$unsorted)) % 211.68/211.91 (define @t3 () (tptp.in @t1 @t2)) % 211.68/211.91 (define @t4 () (@list @t1 @t2)) % 211.68/211.91 (define @t5 () (tptp.unordered_pair @t1 @t2)) % 211.68/211.91 (define @t6 () (tptp.set_intersection2 @t1 @t2)) % 211.68/211.91 (define @t7 () (@var "C" $$unsorted)) % 211.68/211.91 (define @t8 () (tptp.in @t7 @t2)) % 211.68/211.91 (define @t9 () (= @t8 (= @t7 @t1))) % 211.68/211.91 (define @t10 () (@list @t7)) % 211.68/211.91 (define @t11 () (forall @t10 @t9)) % 211.68/211.91 (define @t12 () (tptp.singleton @t1)) % 211.68/211.91 (define @t13 () (= @t2 @t12)) % 211.68/211.91 (define @t14 () (= @t13 @t11)) % 211.68/211.91 (define @t15 () (forall @t4 @t14)) % 211.68/211.91 (define @t16 () (@var "D" $$unsorted)) % 211.68/211.91 (define @t17 () (or (= @t16 @t1) (= @t16 @t2))) % 211.68/211.91 (define @t18 () (tptp.in @t16 @t7)) % 211.68/211.91 (define @t19 () (= @t18 @t17)) % 211.68/211.91 (define @t20 () (@list @t16)) % 211.68/211.91 (define @t21 () (forall @t20 @t19)) % 211.68/211.91 (define @t22 () (= (= @t7 @t5) @t21)) % 211.68/211.91 (define @t23 () (@list @t1 @t2 @t7)) % 211.68/211.91 (define @t24 () (forall @t23 @t22)) % 211.68/211.91 (define @t25 () (forall @t20 (= @t18 (and (tptp.in @t16 @t1) (tptp.in @t16 @t2))))) % 211.68/211.91 (define @t26 () (= (= @t7 @t6) @t25)) % 211.68/211.91 (define @t27 () (forall @t23 @t26)) % 211.68/211.91 (define @t28 () (tptp.set_intersection2 @t1 @t1)) % 211.68/211.91 (define @t29 () (forall @t4 (= @t28 @t1))) % 211.68/211.91 (define @t30 () (tptp.empty @t1)) % 211.68/211.91 (define @t31 () (@list @t1)) % 211.68/211.91 (define @t32 () (tptp.set_intersection2 (tptp.unordered_pair @t1 @t7) @t2)) % 211.68/211.91 (define @t33 () (= @t1 @t7)) % 211.68/211.91 (define @t34 () (and @t8 (not @t33))) % 211.68/211.91 (define @t35 () (or @t34 (= @t32 @t12))) % 211.68/211.91 (define @t36 () (=> @t3 @t35)) % 211.68/211.91 (define @t37 () (forall @t23 @t36)) % 211.68/211.91 (define @t38 () (not @t37)) % 211.68/211.91 (define @t39 () (= @t12 @t32)) % 211.68/211.91 (define @t40 () (not @t3)) % 211.68/211.91 (define @t41 () (or @t40 @t34 @t39)) % 211.68/211.91 (define @t42 () (or @t34 @t39)) % 211.68/211.91 (define @t43 () (forall @t23 @t41)) % 211.68/211.91 (define @t44 () (@quantifiers_skolemize @t43 1)) % 211.68/211.91 (define @t45 () (@quantifiers_skolemize @t43 2)) % 211.68/211.91 (define @t46 () (@quantifiers_skolemize @t43 0)) % 211.68/211.91 (define @t47 () (tptp.unordered_pair @t46 @t45)) % 211.68/211.91 (define @t48 () (tptp.set_intersection2 @t47 @t44)) % 211.68/211.91 (define @t49 () (tptp.singleton @t46)) % 211.68/211.91 (define @t50 () (= @t49 @t48)) % 211.68/211.91 (define @t51 () (= @t46 @t45)) % 211.68/211.91 (define @t52 () (not @t51)) % 211.68/211.91 (define @t53 () (tptp.in @t45 @t44)) % 211.68/211.91 (define @t54 () (and @t53 @t52)) % 211.68/211.91 (define @t55 () (tptp.in @t46 @t44)) % 211.68/211.91 (define @t56 () (not @t55)) % 211.68/211.91 (define @t57 () (or @t56 @t54 @t50)) % 211.68/211.91 (define @t58 () (@list true)) % 211.68/211.91 (define @t59 () (@list @t57)) % 211.68/211.91 (define @t60 () (not @t50)) % 211.68/211.91 (define @t61 () (= @t1 @t28)) % 211.68/211.91 (define @t62 () (tptp.in @t16 @t49)) % 211.68/211.91 (define @t63 () (= @t16 @t46)) % 211.68/211.91 (define @t64 () (= @t46 @t16)) % 211.68/211.91 (define @t65 () (or @t64 @t64)) % 211.68/211.91 (define @t66 () (= @t62 @t65)) % 211.68/211.91 (define @t67 () (forall @t20 @t66)) % 211.68/211.91 (define @t68 () (tptp.unordered_pair @t46 @t46)) % 211.68/211.91 (define @t69 () (= (= @t68 @t49) @t67)) % 211.68/211.91 (define @t70 () (forall @t23 (= (= @t5 @t7) (forall @t20 (= @t18 (or (= @t1 @t16) (= @t2 @t16))))))) % 211.68/211.91 (define @t71 () (forall @t20 (= @t63 @t62))) % 211.68/211.91 (define @t72 () (= @t49 @t68)) % 211.68/211.91 (define @t73 () (= @t72 @t71)) % 211.68/211.91 (define @t74 () (@list false)) % 211.68/211.91 (define @t75 () (@list @t70)) % 211.68/211.91 (define @t76 () (tptp.in @t7 @t49)) % 211.68/211.91 (define @t77 () (forall @t10 (= @t76 (= @t7 @t46)))) % 211.68/211.91 (define @t78 () (= @t76 (= @t46 @t7))) % 211.68/211.91 (define @t79 () (forall @t10 @t78)) % 211.68/211.91 (define @t80 () (= (= @t49 @t49) @t79)) % 211.68/211.91 (define @t81 () (forall @t4 (= @t13 (forall @t10 (= @t8 @t33))))) % 211.68/211.91 (define @t82 () (@list @t77)) % 211.68/211.91 (define @t83 () (@list false false)) % 211.68/211.91 (define @t84 () (= @t47 @t48)) % 211.68/211.91 (define @t85 () (not @t84)) % 211.68/211.91 (define @t86 () (not @t72)) % 211.68/211.91 (define @t87 () (tptp.set_intersection2 @t47 @t47)) % 211.68/211.91 (define @t88 () (= @t47 @t87)) % 211.68/211.91 (define @t89 () (not @t88)) % 211.68/211.91 (define @t90 () (= @t49 @t87)) % 211.68/211.91 (define @t91 () (and @t51 @t60 @t88 @t72)) % 211.68/211.91 (define @t92 () (= @t6 @t7)) % 211.68/211.91 (define @t93 () (tptp.in @t16 @t44)) % 211.68/211.91 (define @t94 () (tptp.in @t16 @t47)) % 211.68/211.91 (define @t95 () (and @t94 @t93)) % 211.68/211.91 (define @t96 () (forall @t20 (= @t94 @t95))) % 211.68/211.91 (define @t97 () (= @t96 (= @t48 @t47))) % 211.68/211.91 (define @t98 () (forall @t23 (= @t25 @t92))) % 211.68/211.91 (define @t99 () (= @t84 @t96)) % 211.68/211.91 (define @t100 () (@list @t98)) % 211.68/211.91 (define @t101 () (not @t96)) % 211.68/211.91 (define @t102 () (@quantifiers_skolemize @t96 0)) % 211.68/211.91 (define @t103 () (tptp.in @t102 @t44)) % 211.68/211.91 (define @t104 () (tptp.in @t102 @t47)) % 211.68/211.91 (define @t105 () (and @t104 @t103)) % 211.68/211.91 (define @t106 () (= @t104 @t105)) % 211.68/211.91 (define @t107 () (not @t106)) % 211.68/211.91 (define @t108 () (forall @t20 (= @t94 (or @t63 (= @t16 @t45))))) % 211.68/211.91 (define @t109 () (or @t64 (= @t45 @t16))) % 211.68/211.91 (define @t110 () (= @t94 @t109)) % 211.68/211.91 (define @t111 () (forall @t20 @t110)) % 211.68/211.91 (define @t112 () (= (= @t47 @t47) @t111)) % 211.68/211.91 (define @t113 () (or (= @t102 @t46) (= @t102 @t45))) % 211.68/211.91 (define @t114 () (= @t104 @t113)) % 211.68/211.91 (define @t115 () (= @t45 @t102)) % 211.68/211.91 (define @t116 () (= @t46 @t102)) % 211.68/211.91 (define @t117 () (or @t116 @t115)) % 211.68/211.91 (define @t118 () (= @t104 @t117)) % 211.68/211.91 (define @t119 () (@list @t108)) % 211.68/211.91 (define @t120 () (not @t104)) % 211.68/211.91 (define @t121 () (not @t116)) % 211.68/211.91 (define @t122 () (not @t103)) % 211.68/211.91 (define @t123 () (= false true)) % 211.68/211.91 (define @t124 () (and @t55 @t116 @t122)) % 211.68/211.91 (define @t125 () (not @t115)) % 211.68/211.91 (define @t126 () (and @t51 @t121)) % 211.68/211.91 (define @t127 () (not @t53)) % 211.68/211.91 (define @t128 () (and @t93 @t94)) % 211.68/211.91 (define @t129 () (forall @t20 (= @t128 @t62))) % 211.68/211.91 (define @t130 () (@quantifiers_skolemize @t129 0)) % 211.68/211.91 (define @t131 () (tptp.in @t130 @t47)) % 211.68/211.91 (define @t132 () (tptp.in @t130 @t44)) % 211.68/211.91 (define @t133 () (and @t132 @t131)) % 211.68/211.91 (define @t134 () (not @t133)) % 211.68/211.91 (define @t135 () (forall @t20 (= @t62 @t95))) % 211.68/211.91 (define @t136 () (= @t48 @t49)) % 211.68/211.91 (define @t137 () (= @t135 @t136)) % 211.68/211.91 (define @t138 () (= @t95 @t62)) % 211.68/211.91 (define @t139 () (forall @t20 @t138)) % 211.68/211.91 (define @t140 () (= @t50 @t139)) % 211.68/211.91 (define @t141 () (not @t139)) % 211.68/211.91 (define @t142 () (not @t129)) % 211.68/211.91 (define @t143 () (tptp.in @t130 @t49)) % 211.68/211.91 (define @t144 () (= @t133 @t143)) % 211.68/211.91 (define @t145 () (= @t130 @t46)) % 211.68/211.91 (define @t146 () (= @t143 @t145)) % 211.68/211.91 (define @t147 () (@list @t130)) % 211.68/211.91 (define @t148 () (= @t46 @t130)) % 211.68/211.91 (define @t149 () (= @t143 @t148)) % 211.68/211.91 (define @t150 () (not @t143)) % 211.68/211.91 (define @t151 () (not @t148)) % 211.68/211.91 (define @t152 () (not @t132)) % 211.68/211.91 (define @t153 () (and @t55 @t148 @t152)) % 211.68/211.91 (define @t154 () (or @t145 (= @t130 @t45))) % 211.68/211.91 (define @t155 () (= @t131 @t154)) % 211.68/211.91 (define @t156 () (= @t45 @t130)) % 211.68/211.91 (define @t157 () (or @t148 @t156)) % 211.68/211.91 (define @t158 () (= @t131 @t157)) % 211.68/211.91 (define @t159 () (not @t158)) % 211.68/211.91 (define @t160 () (not @t157)) % 211.68/211.91 (define @t161 () (not @t131)) % 211.68/211.91 (define @t162 () (tptp.in @t46 @t49)) % 211.68/211.91 (define @t163 () (= @t46 @t46)) % 211.68/211.91 (define @t164 () (= @t162 @t163)) % 211.68/211.91 (define @t165 () (not @t162)) % 211.68/211.91 (define @t166 () (and @t162 @t148 @t150)) % 211.68/211.91 (define @t167 () (not @t156)) % 211.68/211.91 (define @t168 () (and @t127 @t156 @t132)) % 211.68/211.91 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 211.68/211.91 (assume @p2 (forall @t4 (= @t5 (tptp.unordered_pair @t2 @t1)))) % 211.68/211.91 (assume @p3 (forall @t4 (= @t6 (tptp.set_intersection2 @t2 @t1)))) % 211.68/211.91 (assume @p4 @t15) % 211.68/211.91 (assume @p5 @t24) % 211.68/211.91 (assume @p6 @t27) % 211.68/211.91 (assume @p7 @t29) % 211.68/211.91 (assume @p8 (exists @t31 @t30)) % 211.68/211.91 (assume @p9 (exists @t31 (not @t30))) % 211.68/211.91 (assume @p10 @t38) % 211.68/211.91 (assume @p11 true) % 211.68/211.91 (step @p12 :rule aci_norm :args ((= (or @t40 @t42) @t41))) % 211.68/211.91 (step @p13 :rule bool-impl-elim :args (@t3 @t42)) % 211.68/211.91 (step @p14 :rule trans :premises (@p13 @p12)) % 211.68/211.91 (step @p15 :rule cong :premises (@p14) :args ((forall @t23 (=> @t3 @t42)))) % 211.68/211.91 (step @p16 :rule eq-symm :args (@t32 @t12)) % 211.68/211.91 (step @p17 :rule refl :args (@t34)) % 211.68/211.91 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t35)) % 211.68/211.91 (step @p19 :rule refl :args (@t3)) % 211.68/211.91 (step @p20 :rule cong :premises (@p19 @p18) :args (@t36)) % 211.68/211.91 (step @p21 :rule cong :premises (@p20) :args (@t37)) % 211.68/211.91 (step @p22 :rule trans :premises (@p21 @p15)) % 211.68/211.91 (step @p23 :rule cong :premises (@p22) :args (@t38)) % 211.68/211.91 (step @p24 :rule eq_resolve :premises (@p10 @p23)) % 211.68/211.91 (step @p25 :rule skolemize :premises (@p24)) % 211.68/211.91 (step @p26 :rule cnf_or_neg :args (@t57 1)) % 211.68/211.91 (step @p27 :rule chain_m_resolution :premises (@p26 @p25) :args ((not @t54) @t58 @t59)) % 211.68/211.91 (step @p28 :rule cnf_or_neg :args (@t57 2)) % 211.68/211.91 (step @p29 :rule chain_m_resolution :premises (@p28 @p25) :args (@t60 @t58 @t59)) % 211.68/211.91 (step @p30 :rule quant-unused-vars :args ((= (forall @t4 @t61) (forall @t31 @t61)))) % 211.68/211.91 (step @p31 :rule eq-symm :args (@t28 @t1)) % 211.68/211.91 (step @p32 :rule cong :premises (@p31) :args (@t29)) % 211.68/211.91 (step @p33 :rule trans :premises (@p32 @p30)) % 211.68/211.91 (step @p34 :rule eq_resolve :premises (@p7 @p33)) % 211.68/211.91 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t47))) % 211.68/211.91 (step @p36 :rule eq-symm :args (@t16 @t2)) % 211.68/211.91 (step @p37 :rule eq-symm :args (@t16 @t1)) % 211.68/211.91 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t17)) % 211.68/211.91 (step @p39 :rule refl :args (@t18)) % 211.68/211.91 (step @p40 :rule cong :premises (@p39 @p38) :args (@t19)) % 211.68/211.91 (step @p41 :rule cong :premises (@p40) :args (@t21)) % 211.68/211.91 (step @p42 :rule eq-symm :args (@t7 @t5)) % 211.68/211.91 (step @p43 :rule cong :premises (@p42 @p41) :args (@t22)) % 211.68/211.91 (step @p44 :rule cong :premises (@p43) :args (@t24)) % 211.68/211.91 (step @p45 :rule eq_resolve :premises (@p5 @p44)) % 211.68/211.91 (step @p46 :rule eq-symm :args (@t62 @t63)) % 211.68/211.91 (step @p47 :rule eq-symm :args (@t46 @t16)) % 211.68/211.91 (step @p48 :rule aci_norm :args ((= @t65 @t64))) % 211.68/211.91 (step @p49 :rule trans :premises (@p48 @p47)) % 211.68/211.91 (step @p50 :rule refl :args (@t62)) % 211.68/211.91 (step @p51 :rule cong :premises (@p50 @p49) :args (@t66)) % 211.68/211.91 (step @p52 :rule trans :premises (@p51 @p46)) % 211.68/211.91 (step @p53 :rule cong :premises (@p52) :args (@t67)) % 211.68/211.91 (step @p54 :rule eq-symm :args (@t68 @t49)) % 211.68/211.91 (step @p55 :rule cong :premises (@p54 @p53) :args (@t69)) % 211.68/211.91 (step @p56 :rule refl :args (@t70)) % 211.68/211.91 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t70 @t69))) % 211.68/211.91 (assume-push @p478 @t70) % 211.68/211.91 (step @p59 :rule instantiate :premises (@p45) :args ((@list @t46 @t46 @t49))) % 211.68/211.91 (step-pop @p479 :rule scope :premises (@p59)) % 211.68/211.91 (step @p60 :rule process_scope :premises (@p479) :args (@t69)) % 211.68/211.91 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 211.68/211.91 (step @p63 :rule implies_elim :premises (@p62)) % 211.68/211.91 (step @p64 :rule chain_m_resolution :premises (@p63 @p45) :args (@t73 @t74 @t75)) % 211.68/211.91 (step @p65 :rule eq-symm :args (@t7 @t1)) % 211.68/211.91 (step @p66 :rule refl :args (@t8)) % 211.68/211.91 (step @p67 :rule cong :premises (@p66 @p65) :args (@t9)) % 211.68/211.91 (step @p68 :rule cong :premises (@p67) :args (@t11)) % 211.68/211.91 (step @p69 :rule refl :args (@t13)) % 211.68/211.91 (step @p70 :rule cong :premises (@p69 @p68) :args (@t14)) % 211.68/211.91 (step @p71 :rule cong :premises (@p70) :args (@t15)) % 211.68/211.91 (step @p72 :rule eq_resolve :premises (@p4 @p71)) % 211.68/211.91 (step @p73 :rule bool-eq-true :args (@t77)) % 211.68/211.91 (step @p74 :rule eq-symm :args (true @t77)) % 211.68/211.91 (step @p75 :rule trans :premises (@p74 @p73)) % 211.68/211.91 (step @p76 :rule eq-symm :args (@t46 @t7)) % 211.68/211.91 (step @p77 :rule refl :args (@t76)) % 211.68/211.91 (step @p78 :rule cong :premises (@p77 @p76) :args (@t78)) % 211.68/211.91 (step @p79 :rule cong :premises (@p78) :args (@t79)) % 211.68/211.91 (step @p80 :rule eq-refl :args (@t49)) % 211.68/211.91 (step @p81 :rule cong :premises (@p80 @p79) :args (@t80)) % 211.68/211.91 (step @p82 :rule trans :premises (@p81 @p75)) % 211.68/211.91 (step @p83 :rule refl :args (@t81)) % 211.68/211.91 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t81 @t80))) % 211.68/211.91 (assume-push @p480 @t81) % 211.68/211.91 (step @p86 :rule instantiate :premises (@p72) :args ((@list @t46 @t49))) % 211.68/211.91 (step-pop @p481 :rule scope :premises (@p86)) % 211.68/211.91 (step @p87 :rule process_scope :premises (@p481) :args (@t80)) % 211.68/211.91 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 211.68/211.91 (step @p90 :rule implies_elim :premises (@p89)) % 211.68/211.91 (step @p91 :rule chain_m_resolution :premises (@p90 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@p332 :rule cong :premises (@p331 @p330) :args (@t146)) % 211.68/211.92 (step @p333 :rule refl :args (@t77)) % 211.68/211.92 (step @p334 :rule cong :premises (@p333 @p332) :args ((=> @t77 @t146))) % 211.68/211.92 (assume-push @p532 @t77) % 211.68/211.92 (step @p336 :rule instantiate :premises (@p91) :args (@t147)) % 211.68/211.92 (step-pop @p533 :rule scope :premises (@p336)) % 211.68/211.92 (step @p337 :rule process_scope :premises (@p533) :args (@t146)) % 211.68/211.92 (step @p339 :rule eq_resolve :premises (@p337 @p334)) % 211.68/211.92 (step @p340 :rule implies_elim :premises (@p339)) % 211.68/211.92 (step @p341 :rule chain_m_resolution :premises (@p340 @p91) :args (@t149 @t74 @t82)) % 211.68/211.92 (step @p342 :rule cnf_equiv_pos1 :args (@t149)) % 211.68/211.92 (step @p343 :rule reordering :premises (@p342) :args ((or @t150 @t148 (not @t149)))) % 211.68/211.92 (step @p344 :rule refl :args (@t151)) % 211.68/211.92 (step @p345 :rule bool-double-not-elim :args (@t132)) % 211.68/211.92 (step @p346 :rule nary_cong :premises (@p226 @p345 @p344) :args ((or @t56 (not @t152) @t151))) % 211.68/211.92 (assume-push @p534 @t55) % 211.68/211.92 (assume-push @p535 @t148) % 211.68/211.92 (assume-push @p536 @t152) % 211.68/211.92 (step @p231 :rule evaluate :args (@t123)) % 211.68/211.92 (step @p232 :rule true_intro :premises (@p223)) % 211.68/211.92 (step @p233 :rule refl :args (@t44)) % 211.68/211.92 (step @p350 :rule symm :premises (@p535)) % 211.68/211.92 (step @p351 :rule cong :premises (@p350 @p233) :args (@t132)) % 211.68/211.92 (step @p352 :rule false_intro :premises (@p536)) % 211.68/211.92 (step @p353 :rule symm :premises (@p352)) % 211.68/211.92 (step @p354 :rule trans :premises (@p353 @p351 @p232)) % 211.68/211.92 (step @p355 false :rule eq_resolve :premises (@p354 @p231)) % 211.68/211.92 (step-pop @p537 :rule scope :premises (@p355)) % 211.68/211.92 (step-pop @p538 :rule scope :premises (@p537)) % 211.68/211.92 (step-pop @p539 :rule scope :premises (@p538)) % 211.68/211.92 (step @p356 :rule process_scope :premises (@p539) :args (false)) % 211.68/211.92 (assume-push @p540 @t55) % 211.68/211.92 (assume-push @p541 @t152) % 211.68/211.92 (assume-push @p542 @t148) % 211.68/211.92 (step @p363 :rule and_intro :premises (@p223 @p542 @p541)) % 211.68/211.92 (step-pop @p543 :rule scope :premises (@p363)) % 211.68/211.92 (step-pop @p544 :rule scope :premises (@p543)) % 211.68/211.92 (step-pop @p545 :rule scope :premises (@p544)) % 211.68/211.92 (step @p364 :rule process_scope :premises (@p545) :args (@t153)) % 211.68/211.92 (step @p368 :rule implies_elim :premises (@p364)) % 211.68/211.92 (step @p369 :rule resolution :premises (@p368 @p356) :args (true @t153)) % 211.68/211.92 (step @p370 :rule not_and :premises (@p369)) % 211.68/211.92 (step @p371 :rule eq_resolve :premises (@p370 @p346)) % 211.68/211.92 (step @p372 :rule chain_m_resolution :premises (@p371 @p223 @p343 @p341 @p329 @p327 @p298) :args (@t132 (@list false false false false true true) (@list @t55 @t148 @t149 @t143 @t144 @t133))) % 211.68/211.92 (step @p373 :rule cnf_and_pos :args (@t133 1)) % 211.68/211.92 (step @p374 :rule reordering :premises (@p373) :args ((or @t131 @t134))) % 211.68/211.92 (step @p375 :rule eq-symm :args (@t130 @t45)) % 211.68/211.92 (step @p376 :rule nary_cong :premises (@p330 @p375) :args (@t154)) % 211.68/211.92 (step @p377 :rule refl :args (@t131)) % 211.68/211.92 (step @p378 :rule cong :premises (@p377 @p376) :args (@t155)) % 211.68/211.92 (step @p379 :rule cong :premises (@p204 @p378) :args ((=> @t108 @t155))) % 211.68/211.92 (assume-push @p546 @t108) % 211.68/211.92 (step @p381 :rule instantiate :premises (@p198) :args (@t147)) % 211.68/211.92 (step-pop @p547 :rule scope :premises (@p381)) % 211.68/211.92 (step @p382 :rule process_scope :premises (@p547) :args (@t155)) % 211.68/211.92 (step @p384 :rule eq_resolve :premises (@p382 @p379)) % 211.68/211.92 (step @p385 :rule implies_elim :premises (@p384)) % 211.68/211.92 (step @p386 :rule chain_m_resolution :premises (@p385 @p198) :args (@t158 @t74 @t119)) % 211.68/211.92 (step @p387 :rule cnf_equiv_pos2 :args (@t158)) % 211.68/211.92 (step @p388 :rule reordering :premises (@p387) :args ((or @t131 @t160 @t159))) % 211.68/211.92 (step @p389 :rule cnf_or_neg :args (@t157 0)) % 211.68/211.92 (step @p390 :rule chain_m_resolution :premises (@p343 @p341 @p389 @p329 @p327 @p388 @p386 @p374) :args (@t131 (@list false true false true true false true) (@list @t149 @t148 @t143 @t144 @t157 @t158 @t133))) % 211.68/211.92 (step @p391 :rule cnf_and_neg :args (@t133)) % 211.68/211.92 (step @p392 :rule cnf_equiv_pos1 :args (@t158)) % 211.68/211.92 (step @p393 :rule reordering :premises (@p392) :args ((or @t161 @t157 @t159))) % 211.68/211.92 (step @p394 :rule cnf_equiv_neg2 :args (@t144)) % 211.68/211.92 (step @p395 :rule cnf_or_pos :args (@t157)) % 211.68/211.92 (step @p396 :rule reordering :premises (@p395) :args ((or @t148 @t156 @t160))) % 211.68/211.92 (step @p397 :rule bool-eq-true :args (@t162)) % 211.68/211.92 (step @p398 :rule eq-symm :args (true @t162)) % 211.68/211.92 (step @p399 :rule trans :premises (@p398 @p397)) % 211.68/211.92 (step @p400 :rule refl :args (@t162)) % 211.68/211.92 (step @p401 :rule eq-refl :args (@t46)) % 211.68/211.92 (step @p402 :rule cong :premises (@p401 @p400) :args ((= @t163 @t162))) % 211.68/211.92 (step @p403 :rule trans :premises (@p402 @p399)) % 211.68/211.92 (step @p404 :rule eq-symm :args (@t162 @t163)) % 211.68/211.92 (step @p405 :rule trans :premises (@p404 @p403)) % 211.68/211.92 (step @p406 :rule cong :premises (@p333 @p405) :args ((=> @t77 @t164))) % 211.68/211.92 (assume-push @p548 @t77) % 211.68/211.92 (step @p408 :rule instantiate :premises (@p91) :args ((@list @t46))) % 211.68/211.92 (step-pop @p549 :rule scope :premises (@p408)) % 211.68/211.92 (step @p409 :rule process_scope :premises (@p549) :args (@t164)) % 211.68/211.92 (step @p411 :rule eq_resolve :premises (@p409 @p406)) % 211.68/211.92 (step @p412 :rule implies_elim :premises (@p411)) % 211.68/211.92 (step @p413 :rule chain_m_resolution :premises (@p412 @p91) :args (@t162 @t74 @t82)) % 211.68/211.92 (step @p414 :rule bool-double-not-elim :args (@t143)) % 211.68/211.92 (step @p415 :rule refl :args (@t165)) % 211.68/211.92 (step @p416 :rule nary_cong :premises (@p415 @p414 @p344) :args ((or @t165 (not @t150) @t151))) % 211.68/211.92 (assume-push @p550 @t162) % 211.68/211.92 (assume-push @p551 @t148) % 211.68/211.92 (assume-push @p552 @t150) % 211.68/211.92 (step @p231 :rule evaluate :args (@t123)) % 211.68/211.92 (step @p420 :rule true_intro :premises (@p413)) % 211.68/211.92 (step @p421 :rule refl :args (@t49)) % 211.68/211.92 (step @p422 :rule symm :premises (@p551)) % 211.68/211.92 (step @p423 :rule cong :premises (@p422 @p421) :args (@t143)) % 211.68/211.92 (step @p424 :rule false_intro :premises (@p552)) % 211.68/211.92 (step @p425 :rule symm :premises (@p424)) % 211.68/211.92 (step @p426 :rule trans :premises (@p425 @p423 @p420)) % 211.68/211.92 (step @p427 false :rule eq_resolve :premises (@p426 @p231)) % 211.68/211.92 (step-pop @p553 :rule scope :premises (@p427)) % 211.68/211.92 (step-pop @p554 :rule scope :premises (@p553)) % 211.68/211.92 (step-pop @p555 :rule scope :premises (@p554)) % 211.68/211.92 (step @p428 :rule process_scope :premises (@p555) :args (false)) % 211.68/211.92 (assume-push @p556 @t162) % 211.68/211.92 (assume-push @p557 @t150) % 211.68/211.92 (assume-push @p558 @t148) % 211.68/211.92 (step @p435 :rule and_intro :premises (@p413 @p558 @p557)) % 211.68/211.92 (step-pop @p559 :rule scope :premises (@p435)) % 211.68/211.92 (step-pop @p560 :rule scope :premises (@p559)) % 211.68/211.92 (step-pop @p561 :rule scope :premises (@p560)) % 211.68/211.92 (step @p436 :rule process_scope :premises (@p561) :args (@t166)) % 211.68/211.92 (step @p440 :rule implies_elim :premises (@p436)) % 211.68/211.92 (step @p441 :rule resolution :premises (@p440 @p428) :args (true @t166)) % 211.68/211.92 (step @p442 :rule not_and :premises (@p441)) % 211.68/211.92 (step @p443 :rule eq_resolve :premises (@p442 @p416)) % 211.68/211.92 (step @p444 :rule chain_m_resolution :premises (@p443 @p413 @p396 @p394 @p327 @p393 @p386 @p391) :args ((or @t152 @t161 @t156) (@list false false true true false false false) (@list @t162 @t148 @t143 @t144 @t157 @t158 @t133))) % 211.68/211.92 (step @p445 :rule chain_m_resolution :premises (@p444 @p372 @p390) :args (@t156 @t83 (@list @t132 @t131))) % 211.68/211.92 (step @p446 :rule refl :args (@t167)) % 211.68/211.92 (step @p447 :rule refl :args (@t152)) % 211.68/211.92 (step @p448 :rule bool-double-not-elim :args (@t53)) % 211.68/211.92 (step @p449 :rule nary_cong :premises (@p448 @p447 @p446) :args ((or (not @t127) @t152 @t167))) % 211.68/211.92 (assume-push @p562 @t127) % 211.68/211.92 (assume-push @p563 @t156) % 211.68/211.92 (assume-push @p564 @t132) % 211.68/211.92 (step @p453 :rule evaluate :args ((= true false))) % 211.68/211.92 (step @p454 :rule false_intro :premises (@p562)) % 211.68/211.92 (step @p233 :rule refl :args (@t44)) % 211.68/211.92 (step @p455 :rule symm :premises (@p563)) % 211.68/211.92 (step @p456 :rule cong :premises (@p455 @p233) :args (@t132)) % 211.68/211.92 (step @p457 :rule true_intro :premises (@p564)) % 211.68/211.92 (step @p458 :rule symm :premises (@p457)) % 211.68/211.92 (step @p459 :rule trans :premises (@p458 @p456 @p454)) % 211.68/211.92 (step @p460 false :rule eq_resolve :premises (@p459 @p453)) % 211.68/211.92 (step-pop @p565 :rule scope :premises (@p460)) % 211.68/211.92 (step-pop @p566 :rule scope :premises (@p565)) % 211.68/211.92 (step-pop @p567 :rule scope :premises (@p566)) % 211.68/211.92 (step @p461 :rule process_scope :premises (@p567) :args (false)) % 211.68/211.92 (assume-push @p568 @t127) % 211.68/211.92 (assume-push @p569 @t132) % 211.68/211.92 (assume-push @p570 @t156) % 211.68/211.92 (step @p468 :rule and_intro :premises (@p568 @p570 @p569)) % 211.68/211.92 (step-pop @p571 :rule scope :premises (@p468)) % 211.68/211.92 (step-pop @p572 :rule scope :premises (@p571)) % 211.68/211.92 (step-pop @p573 :rule scope :premises (@p572)) % 211.68/211.92 (step @p469 :rule process_scope :premises (@p573) :args (@t168)) % 211.68/211.92 (step @p473 :rule implies_elim :premises (@p469)) % 211.68/211.92 (step @p474 :rule resolution :premises (@p473 @p461) :args (true @t168)) % 211.68/211.92 (step @p475 :rule not_and :premises (@p474)) % 211.68/211.92 (step @p476 :rule eq_resolve :premises (@p475 @p449)) % 211.68/211.92 (step @p477 false :rule chain_m_resolution :premises (@p476 @p445 @p372 @p296) :args (false (@list false false true) (@list @t156 @t132 @t53))) % 211.68/211.92 ) % 211.68/211.92 % SZS output end Proof % 211.68/211.92 % cvc5 exiting %------------------------------------------------------------------------------