%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN014-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:07:48 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN014-1 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:17:49 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Unsatisfiable % 0.39/0.59 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.j $$unsorted) % 0.39/0.61 (declare-const tptp.k $$unsorted) % 0.39/0.61 (declare-const tptp.m $$unsorted) % 0.39/0.61 (declare-const tptp.n $$unsorted) % 0.39/0.61 (define @t1 () (= tptp.m tptp.n)) % 0.39/0.61 (define @t2 () (= tptp.m tptp.k)) % 0.39/0.61 (define @t3 () (= tptp.n tptp.k)) % 0.39/0.61 (define @t4 () (@var "Y" $$unsorted)) % 0.39/0.61 (define @t5 () (tptp.element @t4 tptp.j)) % 0.39/0.61 (define @t6 () (= @t4 tptp.k)) % 0.39/0.61 (define @t7 () (not @t6)) % 0.39/0.61 (define @t8 () (= @t4 tptp.j)) % 0.39/0.61 (define @t9 () (or @t8 @t7 @t5)) % 0.39/0.61 (define @t10 () (@list @t4)) % 0.39/0.61 (define @t11 () (forall @t10 @t9)) % 0.39/0.61 (define @t12 () (not @t5)) % 0.39/0.61 (define @t13 () (or @t8 @t6 @t12)) % 0.39/0.61 (define @t14 () (forall @t10 @t13)) % 0.39/0.61 (define @t15 () (tptp.f @t4)) % 0.39/0.61 (define @t16 () (not (= @t15 tptp.m))) % 0.39/0.61 (define @t17 () (tptp.element @t4 tptp.m)) % 0.39/0.61 (define @t18 () (not @t17)) % 0.39/0.61 (define @t19 () (= @t4 tptp.m)) % 0.39/0.61 (define @t20 () (or @t19 @t18 @t16)) % 0.39/0.61 (define @t21 () (forall @t10 @t20)) % 0.39/0.61 (define @t22 () (not (= @t15 @t4))) % 0.39/0.61 (define @t23 () (or @t19 @t18 @t22)) % 0.39/0.61 (define @t24 () (forall @t10 @t23)) % 0.39/0.61 (define @t25 () (tptp.element @t4 @t15)) % 0.39/0.61 (define @t26 () (or @t19 @t18 @t25)) % 0.39/0.61 (define @t27 () (forall @t10 @t26)) % 0.39/0.61 (define @t28 () (tptp.element @t15 @t4)) % 0.39/0.61 (define @t29 () (or @t19 @t18 @t28)) % 0.39/0.61 (define @t30 () (forall @t10 @t29)) % 0.39/0.61 (define @t31 () (@var "V1" $$unsorted)) % 0.39/0.61 (define @t32 () (not (tptp.element @t31 @t4))) % 0.39/0.61 (define @t33 () (not (tptp.element @t4 @t31))) % 0.39/0.61 (define @t34 () (or @t19 @t17 (= @t31 tptp.m) (= @t31 @t4) @t33 @t32)) % 0.39/0.61 (define @t35 () (@list @t4 @t31)) % 0.39/0.61 (define @t36 () (forall @t35 @t34)) % 0.39/0.61 (define @t37 () (tptp.g @t4)) % 0.39/0.61 (define @t38 () (not (= @t37 tptp.n))) % 0.39/0.61 (define @t39 () (tptp.element @t4 tptp.n)) % 0.39/0.61 (define @t40 () (= @t4 tptp.n)) % 0.39/0.61 (define @t41 () (or @t40 @t39 @t38)) % 0.39/0.61 (define @t42 () (forall @t10 @t41)) % 0.39/0.61 (define @t43 () (not (= @t37 @t4))) % 0.39/0.61 (define @t44 () (or @t40 @t39 @t43)) % 0.39/0.61 (define @t45 () (forall @t10 @t44)) % 0.39/0.61 (define @t46 () (tptp.element @t37 @t4)) % 0.39/0.61 (define @t47 () (or @t40 @t39 @t46)) % 0.39/0.61 (define @t48 () (forall @t10 @t47)) % 0.39/0.61 (define @t49 () (@var "V" $$unsorted)) % 0.39/0.61 (define @t50 () (tptp.element @t4 tptp.k)) % 0.39/0.61 (define @t51 () (not @t19)) % 0.39/0.61 (define @t52 () (or @t6 @t51 @t50)) % 0.39/0.61 (define @t53 () (forall @t10 @t52)) % 0.39/0.61 (define @t54 () (not @t40)) % 0.39/0.61 (define @t55 () (or @t6 @t54 @t50)) % 0.39/0.61 (define @t56 () (forall @t10 @t55)) % 0.39/0.61 (define @t57 () (not @t50)) % 0.39/0.61 (define @t58 () (or @t6 @t19 @t40 @t57)) % 0.39/0.61 (define @t59 () (forall @t10 @t58)) % 0.39/0.61 (define @t60 () (tptp.element tptp.n tptp.k)) % 0.39/0.61 (define @t61 () (not (= tptp.n tptp.n))) % 0.39/0.61 (define @t62 () (or (= tptp.k tptp.n) @t61 @t60)) % 0.39/0.61 (define @t63 () (not (= tptp.n @t4))) % 0.39/0.61 (define @t64 () (= tptp.k @t4)) % 0.39/0.61 (define @t65 () (or @t63 @t64 @t63 @t50)) % 0.39/0.61 (define @t66 () (or @t64 @t63 @t50)) % 0.39/0.61 (define @t67 () (tptp.element tptp.n tptp.m)) % 0.39/0.61 (define @t68 () (and @t2 @t60)) % 0.39/0.61 (define @t69 () (tptp.f tptp.n)) % 0.39/0.61 (define @t70 () (= tptp.m @t69)) % 0.39/0.61 (define @t71 () (not @t70)) % 0.39/0.61 (define @t72 () (not @t67)) % 0.39/0.61 (define @t73 () (or @t1 @t72 @t71)) % 0.39/0.61 (define @t74 () (= tptp.m @t4)) % 0.39/0.61 (define @t75 () (forall @t10 (or @t74 @t18 (not (= tptp.m @t15))))) % 0.39/0.61 (define @t76 () (@list tptp.n)) % 0.39/0.61 (define @t77 () (= tptp.n tptp.m)) % 0.39/0.61 (define @t78 () (or @t77 @t72 @t71)) % 0.39/0.61 (define @t79 () (@list false)) % 0.39/0.61 (define @t80 () (= tptp.n @t69)) % 0.39/0.61 (define @t81 () (not @t80)) % 0.39/0.61 (define @t82 () (or @t1 @t72 @t81)) % 0.39/0.61 (define @t83 () (forall @t10 (or @t74 @t18 (not (= @t4 @t15))))) % 0.39/0.61 (define @t84 () (or @t77 @t72 @t81)) % 0.39/0.61 (define @t85 () (tptp.element tptp.n @t69)) % 0.39/0.61 (define @t86 () (or @t1 @t72 @t85)) % 0.39/0.61 (define @t87 () (forall @t10 (or @t74 @t18 @t25))) % 0.39/0.61 (define @t88 () (or @t77 @t72 @t85)) % 0.39/0.61 (define @t89 () (tptp.element @t69 tptp.n)) % 0.39/0.61 (define @t90 () (or @t1 @t72 @t89)) % 0.39/0.61 (define @t91 () (forall @t10 (or @t74 @t18 @t28))) % 0.39/0.61 (define @t92 () (or @t77 @t72 @t89)) % 0.39/0.61 (define @t93 () (not @t85)) % 0.39/0.61 (define @t94 () (not @t89)) % 0.39/0.61 (define @t95 () (tptp.element @t69 tptp.m)) % 0.39/0.61 (define @t96 () (or @t70 @t95 @t1 (= @t69 tptp.n) @t94 @t93)) % 0.39/0.61 (define @t97 () (forall @t35 (or @t74 @t17 (= tptp.m @t31) (= @t4 @t31) @t33 @t32))) % 0.39/0.61 (define @t98 () (or @t70 @t95 @t77 @t80 @t94 @t93)) % 0.39/0.61 (define @t99 () (= tptp.k @t69)) % 0.39/0.61 (define @t100 () (not @t99)) % 0.39/0.61 (define @t101 () (not @t2)) % 0.39/0.61 (define @t102 () (and @t2 @t71)) % 0.39/0.61 (define @t103 () (tptp.element @t69 tptp.k)) % 0.39/0.61 (define @t104 () (and @t2 @t95)) % 0.39/0.61 (define @t105 () (not @t103)) % 0.39/0.61 (define @t106 () (or @t99 @t70 @t80 @t105)) % 0.39/0.61 (define @t107 () (not @t3)) % 0.39/0.61 (define @t108 () (and @t3 @t81)) % 0.39/0.61 (define @t109 () (and @t3 @t89)) % 0.39/0.61 (define @t110 () (not @t77)) % 0.39/0.61 (define @t111 () (not @t110)) % 0.39/0.61 (define @t112 () (= false true)) % 0.39/0.61 (define @t113 () (tptp.element tptp.m tptp.k)) % 0.39/0.61 (define @t114 () (not (= tptp.m tptp.m))) % 0.39/0.61 (define @t115 () (= tptp.k tptp.m)) % 0.39/0.61 (define @t116 () (or @t115 @t114 @t113)) % 0.39/0.61 (define @t117 () (not @t74)) % 0.39/0.61 (define @t118 () (or @t117 @t64 @t117 @t50)) % 0.39/0.61 (define @t119 () (or @t64 @t117 @t50)) % 0.39/0.61 (define @t120 () (@list true)) % 0.39/0.61 (define @t121 () (= tptp.n tptp.j)) % 0.39/0.61 (define @t122 () (tptp.element tptp.m tptp.j)) % 0.39/0.61 (define @t123 () (and @t3 @t113 @t121)) % 0.39/0.61 (define @t124 () (not @t122)) % 0.39/0.61 (define @t125 () (or (= tptp.j tptp.m) @t115 @t124)) % 0.39/0.61 (define @t126 () (= tptp.j @t4)) % 0.39/0.61 (define @t127 () (forall @t10 (or @t126 @t64 @t12))) % 0.39/0.61 (define @t128 () (= tptp.m tptp.j)) % 0.39/0.61 (define @t129 () (or @t128 @t2 @t124)) % 0.39/0.61 (define @t130 () (not @t128)) % 0.39/0.61 (define @t131 () (not @t121)) % 0.39/0.61 (define @t132 () (and @t3 @t121 @t128 @t110)) % 0.39/0.61 (define @t133 () (= tptp.k tptp.j)) % 0.39/0.61 (define @t134 () (not @t133)) % 0.39/0.61 (define @t135 () (and @t3 @t131)) % 0.39/0.61 (define @t136 () (tptp.element tptp.k tptp.j)) % 0.39/0.61 (define @t137 () (not (= tptp.k tptp.k))) % 0.39/0.61 (define @t138 () (or (= tptp.j tptp.k) @t137 @t136)) % 0.39/0.61 (define @t139 () (not @t64)) % 0.39/0.61 (define @t140 () (or @t139 @t126 @t139 @t5)) % 0.39/0.61 (define @t141 () (or @t126 @t139 @t5)) % 0.39/0.61 (define @t142 () (@list tptp.j)) % 0.39/0.61 (define @t143 () (tptp.g tptp.j)) % 0.39/0.61 (define @t144 () (= tptp.n @t143)) % 0.39/0.61 (define @t145 () (not @t144)) % 0.39/0.61 (define @t146 () (tptp.element tptp.j tptp.n)) % 0.39/0.61 (define @t147 () (or @t121 @t146 @t145)) % 0.39/0.61 (define @t148 () (= tptp.j @t143)) % 0.39/0.61 (define @t149 () (not @t148)) % 0.39/0.61 (define @t150 () (or @t121 @t146 @t149)) % 0.39/0.61 (define @t151 () (tptp.element @t143 tptp.j)) % 0.39/0.61 (define @t152 () (or @t121 @t146 @t151)) % 0.39/0.61 (define @t153 () (not @t151)) % 0.39/0.61 (define @t154 () (= tptp.k @t143)) % 0.39/0.61 (define @t155 () (or @t148 @t154 @t153)) % 0.39/0.61 (define @t156 () (not @t154)) % 0.39/0.61 (define @t157 () (and @t3 @t145)) % 0.39/0.61 (define @t158 () (tptp.element tptp.j tptp.k)) % 0.39/0.61 (define @t159 () (and @t3 @t146)) % 0.39/0.61 (define @t160 () (not @t158)) % 0.39/0.61 (define @t161 () (or @t133 @t128 @t121 @t160)) % 0.39/0.61 (define @t162 () (not @t136)) % 0.39/0.61 (define @t163 () (and @t136 @t3 @t128 @t72)) % 0.39/0.61 (assume @p1 (not @t1)) % 0.39/0.61 (assume @p2 (or @t3 @t2)) % 0.39/0.61 (assume @p3 @t11) % 0.39/0.61 (assume @p4 @t14) % 0.39/0.61 (assume @p5 @t21) % 0.39/0.61 (assume @p6 @t24) % 0.39/0.61 (assume @p7 @t27) % 0.39/0.61 (assume @p8 @t30) % 0.39/0.61 (assume @p9 @t36) % 0.39/0.61 (assume @p10 @t42) % 0.39/0.61 (assume @p11 @t45) % 0.39/0.61 (assume @p12 (forall @t10 (or @t40 @t39 (tptp.element @t4 @t37)))) % 0.39/0.61 (assume @p13 @t48) % 0.39/0.61 (assume @p14 (forall (@list @t4 @t49) (or @t40 (not @t39) (= @t49 tptp.n) (= @t49 @t4) (not (tptp.element @t4 @t49)) (not (tptp.element @t49 @t4))))) % 0.39/0.61 (assume @p15 @t53) % 0.39/0.61 (assume @p16 @t56) % 0.39/0.61 (assume @p17 @t59) % 0.39/0.61 (step @p18 :rule aci_norm :args ((= (or @t3 false @t60) (or @t3 @t60)))) % 0.39/0.61 (step @p19 :rule refl :args (@t60)) % 0.39/0.61 (step @p20 :rule evaluate :args ((not true))) % 0.39/0.61 (step @p21 :rule eq-refl :args (tptp.n)) % 0.39/0.61 (step @p22 :rule cong :premises (@p21) :args (@t61)) % 0.39/0.61 (step @p23 :rule trans :premises (@p22 @p20)) % 0.39/0.61 (step @p24 :rule eq-symm :args (tptp.k tptp.n)) % 0.39/0.61 (step @p25 :rule nary_cong :premises (@p24 @p23 @p19) :args (@t62)) % 0.39/0.61 (step @p26 :rule trans :premises (@p25 @p18)) % 0.39/0.61 (step @p27 :rule quant-var-elim-eq :args ((= (forall @t10 (or @t54 @t64 @t63 @t50)) @t62))) % 0.39/0.61 (step @p28 :rule refl :args (@t50)) % 0.39/0.61 (step @p29 :rule refl :args (@t63)) % 0.39/0.61 (step @p30 :rule refl :args (@t64)) % 0.39/0.61 (step @p31 :rule eq-symm :args (tptp.n @t4)) % 0.39/0.61 (step @p32 :rule cong :premises (@p31) :args (@t63)) % 0.39/0.61 (step @p33 :rule nary_cong :premises (@p32 @p30 @p29 @p28) :args (@t65)) % 0.39/0.61 (step @p34 :rule aci_norm :args ((= @t66 @t65))) % 0.39/0.61 (step @p35 :rule trans :premises (@p34 @p33)) % 0.39/0.61 (step @p36 :rule cong :premises (@p35) :args ((forall @t10 @t66))) % 0.39/0.61 (step @p37 :rule trans :premises (@p36 @p27)) % 0.39/0.61 (step @p38 :rule trans :premises (@p37 @p26)) % 0.39/0.61 (step @p39 :rule refl :args (@t50)) % 0.39/0.61 (step @p40 :rule eq-symm :args (@t4 tptp.n)) % 0.39/0.61 (step @p41 :rule cong :premises (@p40) :args (@t54)) % 0.39/0.61 (step @p42 :rule eq-symm :args (@t4 tptp.k)) % 0.39/0.61 (step @p43 :rule nary_cong :premises (@p42 @p41 @p39) :args (@t55)) % 0.39/0.61 (step @p44 :rule cong :premises (@p43) :args (@t56)) % 0.39/0.61 (step @p45 :rule trans :premises (@p44 @p38)) % 0.39/0.61 (step @p46 :rule eq_resolve :premises (@p16 @p45)) % 0.39/0.61 (assume-push @p562 @t2) % 0.39/0.61 (assume-push @p563 @t60) % 0.39/0.61 (assume-push @p564 @t60) % 0.39/0.61 (assume-push @p565 @t2) % 0.39/0.61 (step @p51 :rule true_intro :premises (@p563)) % 0.39/0.61 (step @p52 :rule refl :args (tptp.n)) % 0.39/0.61 (step @p53 :rule cong :premises (@p52 @p562) :args (@t67)) % 0.39/0.61 (step @p54 :rule trans :premises (@p53 @p51)) % 0.39/0.61 (step @p55 :rule true_elim :premises (@p54)) % 0.39/0.61 (step-pop @p566 :rule scope :premises (@p55)) % 0.39/0.61 (step-pop @p567 :rule scope :premises (@p566)) % 0.39/0.61 (step @p56 :rule process_scope :premises (@p567) :args (@t67)) % 0.39/0.61 (step @p59 :rule and_intro :premises (@p563 @p562)) % 0.39/0.61 (step @p60 :rule modus_ponens :premises (@p59 @p56)) % 0.39/0.61 (step-pop @p568 :rule scope :premises (@p60)) % 0.39/0.61 (step-pop @p569 :rule scope :premises (@p568)) % 0.39/0.61 (step @p61 :rule process_scope :premises (@p569) :args (@t67)) % 0.39/0.61 (step @p64 :rule implies_elim :premises (@p61)) % 0.39/0.61 (step @p65 :rule cnf_and_neg :args (@t68)) % 0.39/0.61 (step @p66 :rule resolution :premises (@p65 @p64) :args (true @t68)) % 0.39/0.61 (step @p67 :rule symm :premises (@p1)) % 0.39/0.61 (step @p68 :rule eq-symm :args (@t15 tptp.m)) % 0.39/0.61 (step @p69 :rule cong :premises (@p68) :args (@t16)) % 0.39/0.61 (step @p70 :rule refl :args (@t18)) % 0.39/0.61 (step @p71 :rule eq-symm :args (@t4 tptp.m)) % 0.39/0.61 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69) :args (@t20)) % 0.39/0.61 (step @p73 :rule cong :premises (@p72) :args (@t21)) % 0.39/0.61 (step @p74 :rule eq_resolve :premises (@p5 @p73)) % 0.39/0.61 (step @p75 :rule refl :args (@t71)) % 0.39/0.61 (step @p76 :rule refl :args (@t72)) % 0.39/0.61 (step @p77 :rule eq-symm :args (tptp.m tptp.n)) % 0.39/0.61 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args (@t73)) % 0.39/0.61 (step @p79 :rule refl :args (@t75)) % 0.39/0.61 (step @p80 :rule cong :premises (@p79 @p78) :args ((=> @t75 @t73))) % 0.39/0.61 (assume-push @p570 @t75) % 0.39/0.61 (step @p82 :rule instantiate :premises (@p74) :args (@t76)) % 0.39/0.61 (step-pop @p571 :rule scope :premises (@p82)) % 0.39/0.61 (step @p83 :rule process_scope :premises (@p571) :args (@t73)) % 0.39/0.61 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 0.39/0.61 (step @p86 :rule implies_elim :premises (@p85)) % 0.39/0.61 (step @p87 :rule chain_m_resolution :premises (@p86 @p74) :args (@t78 @t79 (@list @t75))) % 0.39/0.61 (step @p88 :rule cnf_or_pos :args (@t78)) % 0.39/0.61 (step @p89 :rule reordering :premises (@p88) :args ((or @t77 @t72 @t71 (not @t78)))) % 0.39/0.61 (step @p90 :rule eq-symm :args (@t15 @t4)) % 0.39/0.61 (step @p91 :rule cong :premises (@p90) :args (@t22)) % 0.39/0.61 (step @p92 :rule nary_cong :premises (@p71 @p70 @p91) :args (@t23)) % 0.39/0.61 (step @p93 :rule cong :premises (@p92) :args (@t24)) % 0.39/0.61 (step @p94 :rule eq_resolve :premises (@p6 @p93)) % 0.39/0.61 (step @p95 :rule refl :args (@t81)) % 0.39/0.61 (step @p96 :rule nary_cong :premises (@p77 @p76 @p95) :args (@t82)) % 0.39/0.61 (step @p97 :rule refl :args (@t83)) % 0.39/0.61 (step @p98 :rule cong :premises (@p97 @p96) :args ((=> @t83 @t82))) % 0.39/0.61 (assume-push @p572 @t83) % 0.39/0.61 (step @p100 :rule instantiate :premises (@p94) :args (@t76)) % 0.39/0.61 (step-pop @p573 :rule scope :premises (@p100)) % 0.39/0.61 (step @p101 :rule process_scope :premises (@p573) :args (@t82)) % 0.39/0.61 (step @p103 :rule eq_resolve :premises (@p101 @p98)) % 0.39/0.61 (step @p104 :rule implies_elim :premises (@p103)) % 0.39/0.61 (step @p105 :rule chain_m_resolution :premises (@p104 @p94) :args (@t84 @t79 (@list @t83))) % 0.39/0.61 (step @p106 :rule cnf_or_pos :args (@t84)) % 0.39/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t77 @t72 @t81 (not @t84)))) % 0.39/0.61 (step @p108 :rule refl :args (@t25)) % 0.39/0.61 (step @p109 :rule nary_cong :premises (@p71 @p70 @p108) :args (@t26)) % 0.39/0.61 (step @p110 :rule cong :premises (@p109) :args (@t27)) % 0.39/0.61 (step @p111 :rule eq_resolve :premises (@p7 @p110)) % 0.39/0.61 (step @p112 :rule 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0.39/0.61 (step @p351 :rule eq_resolve :premises (@p349 @p346)) % 0.39/0.61 (step @p352 :rule implies_elim :premises (@p351)) % 0.39/0.61 (step @p353 :rule chain_m_resolution :premises (@p352 @p341) :args (@t129 @t79 (@list @t127))) % 0.39/0.61 (step @p354 :rule cnf_or_pos :args (@t129)) % 0.39/0.61 (step @p355 :rule reordering :premises (@p354) :args ((or @t2 @t128 @t124 (not @t129)))) % 0.39/0.61 (step @p356 :rule refl :args (@t130)) % 0.39/0.61 (step @p357 :rule refl :args (@t131)) % 0.39/0.61 (step @p358 :rule nary_cong :premises (@p222 @p266 @p357 @p356) :args ((or @t107 @t111 @t131 @t130))) % 0.39/0.61 (assume-push @p632 @t3) % 0.39/0.61 (assume-push @p633 @t121) % 0.39/0.61 (assume-push @p634 @t128) % 0.39/0.61 (assume-push @p635 @t110) % 0.39/0.61 (step @p271 :rule evaluate :args (@t112)) % 0.39/0.61 (step @p363 :rule symm :premises (@p633)) % 0.39/0.61 (step @p364 :rule trans :premises (@p634 @p363 @p632)) % 0.39/0.61 (step @p365 :rule symm :premises (@p364)) % 0.39/0.61 (step @p366 :rule trans :premises (@p632 @p365)) % 0.39/0.61 (step @p367 :rule true_intro :premises (@p366)) % 0.39/0.61 (step @p275 :rule false_intro :premises (@p67)) % 0.39/0.61 (step @p276 :rule symm :premises (@p275)) % 0.39/0.61 (step @p368 :rule trans :premises (@p276 @p367)) % 0.39/0.61 (step @p369 false :rule eq_resolve :premises (@p368 @p271)) % 0.39/0.61 (step-pop @p636 :rule scope :premises (@p369)) % 0.39/0.61 (step-pop @p637 :rule scope :premises (@p636)) % 0.39/0.61 (step-pop @p638 :rule scope :premises (@p637)) % 0.39/0.61 (step-pop @p639 :rule scope :premises (@p638)) % 0.39/0.61 (step @p370 :rule process_scope :premises (@p639) :args (false)) % 0.39/0.61 (assume-push @p640 @t3) % 0.39/0.61 (assume-push @p641 @t110) % 0.39/0.61 (assume-push @p642 @t121) % 0.39/0.61 (assume-push @p643 @t128) % 0.39/0.61 (step @p379 :rule and_intro :premises (@p640 @p642 @p643 @p67)) % 0.39/0.61 (step-pop @p644 :rule scope :premises (@p379)) % 0.39/0.61 (step-pop @p645 :rule scope :premises (@p644)) % 0.39/0.61 (step-pop @p646 :rule scope :premises (@p645)) % 0.39/0.61 (step-pop @p647 :rule scope :premises (@p646)) % 0.39/0.61 (step @p380 :rule process_scope :premises (@p647) :args (@t132)) % 0.39/0.61 (step @p385 :rule implies_elim :premises (@p380)) % 0.39/0.61 (step @p386 :rule resolution :premises (@p385 @p370) :args (true @t132)) % 0.39/0.61 (step @p387 :rule not_and :premises (@p386)) % 0.39/0.61 (step @p388 :rule eq_resolve :premises (@p387 @p358)) % 0.39/0.61 (step @p389 :rule reordering :premises (@p388) :args ((or @t77 @t107 @t131 @t130))) % 0.39/0.61 (step @p390 :rule chain_m_resolution :premises (@p389 @p220 @p67 @p355 @p353 @p286 @p336 @p310 @p220) :args (@t131 (@list false true false false true false false false) (@list @t3 @t77 @t128 @t129 @t2 @t122 @t113 @t3))) % 0.39/0.61 (step @p391 :rule refl :args (@t134)) % 0.39/0.61 (step @p392 :rule bool-double-not-elim :args (@t121)) % 0.39/0.61 (step @p393 :rule nary_cong :premises (@p222 @p392 @p391) :args ((or @t107 (not @t131) @t134))) % 0.39/0.61 (assume-push @p648 @t3) % 0.39/0.61 (assume-push @p649 @t131) % 0.39/0.61 (assume-push @p650 @t131) % 0.39/0.61 (assume-push @p651 @t3) % 0.39/0.61 (step @p398 :rule false_intro :premises (@p649)) % 0.39/0.61 (step @p399 :rule refl :args (tptp.j)) % 0.39/0.61 (step @p400 :rule symm :premises (@p648)) % 0.39/0.61 (step @p401 :rule cong :premises (@p400 @p399) :args (@t133)) % 0.39/0.61 (step @p402 :rule trans :premises (@p401 @p398)) % 0.39/0.61 (step @p403 :rule false_elim :premises (@p402)) % 0.39/0.61 (step-pop @p652 :rule scope :premises (@p403)) % 0.39/0.61 (step-pop @p653 :rule scope :premises (@p652)) % 0.39/0.61 (step @p404 :rule process_scope :premises (@p653) :args (@t134)) % 0.39/0.61 (step @p407 :rule and_intro :premises (@p649 @p648)) % 0.39/0.61 (step @p408 :rule modus_ponens :premises (@p407 @p404)) % 0.39/0.61 (step-pop @p654 :rule scope :premises (@p408)) % 0.39/0.61 (step-pop @p655 :rule scope :premises (@p654)) % 0.39/0.61 (step @p409 :rule process_scope :premises (@p655) :args (@t134)) % 0.39/0.61 (step @p412 :rule implies_elim :premises (@p409)) % 0.39/0.61 (step @p413 :rule cnf_and_neg :args (@t135)) % 0.39/0.61 (step @p414 :rule resolution :premises (@p413 @p412) :args (true @t135)) % 0.39/0.61 (step @p415 :rule eq_resolve :premises (@p414 @p393)) % 0.39/0.61 (step @p416 :rule reordering :premises (@p415) :args ((or @t107 @t134 @t121))) % 0.39/0.61 (step @p417 :rule chain_m_resolution :premises (@p416 @p220 @p390) :args (@t134 (@list false true) (@list @t3 @t121))) % 0.39/0.61 (step @p418 :rule aci_norm :args ((= (or @t133 false @t136) (or @t133 @t136)))) % 0.39/0.61 (step @p419 :rule refl :args (@t136)) % 0.39/0.61 (step @p420 :rule eq-refl :args (tptp.k)) % 0.39/0.61 (step @p421 :rule cong :premises (@p420) :args (@t137)) % 0.39/0.61 (step @p422 :rule trans :premises (@p421 @p20)) % 0.39/0.61 (step @p423 :rule eq-symm :args (tptp.j tptp.k)) % 0.39/0.61 (step @p424 :rule nary_cong :premises (@p423 @p422 @p419) :args (@t138)) % 0.39/0.61 (step @p425 :rule trans :premises (@p424 @p418)) % 0.39/0.61 (step @p426 :rule quant-var-elim-eq :args ((= (forall @t10 (or @t7 @t126 @t139 @t5)) @t138))) % 0.39/0.61 (step @p427 :rule refl :args (@t5)) % 0.39/0.61 (step @p428 :rule refl :args (@t139)) % 0.39/0.61 (step @p429 :rule refl :args (@t126)) % 0.39/0.61 (step @p430 :rule eq-symm :args (tptp.k @t4)) % 0.39/0.61 (step @p431 :rule cong :premises (@p430) :args (@t139)) % 0.39/0.61 (step @p432 :rule nary_cong :premises (@p431 @p429 @p428 @p427) :args (@t140)) % 0.39/0.61 (step @p433 :rule aci_norm :args ((= @t141 @t140))) % 0.39/0.61 (step @p434 :rule trans :premises (@p433 @p432)) % 0.39/0.61 (step @p435 :rule cong :premises (@p434) :args ((forall @t10 @t141))) % 0.39/0.61 (step @p436 :rule trans :premises (@p435 @p426)) % 0.39/0.61 (step @p437 :rule trans :premises (@p436 @p425)) % 0.39/0.61 (step @p438 :rule refl :args (@t5)) % 0.39/0.61 (step @p439 :rule cong :premises (@p42) :args (@t7)) % 0.39/0.61 (step @p440 :rule nary_cong :premises (@p338 @p439 @p438) :args (@t9)) % 0.39/0.61 (step @p441 :rule cong :premises (@p440) :args (@t11)) % 0.39/0.61 (step @p442 :rule trans :premises (@p441 @p437)) % 0.39/0.61 (step @p443 :rule eq_resolve :premises (@p3 @p442)) % 0.39/0.61 (step @p444 :rule reordering :premises (@p443) :args ((or @t136 @t133))) % 0.39/0.61 (step @p445 :rule chain_m_resolution :premises (@p444 @p417) :args (@t136 @t120 (@list @t133))) % 0.39/0.61 (step @p446 :rule instantiate :premises (@p216) :args (@t142)) % 0.39/0.61 (step @p447 :rule eq-symm :args (@t37 tptp.n)) % 0.39/0.61 (step @p448 :rule cong :premises (@p447) :args (@t38)) % 0.39/0.61 (step @p449 :rule refl :args (@t39)) % 0.39/0.61 (step @p450 :rule nary_cong :premises (@p40 @p449 @p448) :args (@t41)) % 0.39/0.61 (step @p451 :rule cong :premises (@p450) :args (@t42)) % 0.39/0.61 (step @p452 :rule eq_resolve :premises (@p10 @p451)) % 0.39/0.61 (step @p453 :rule instantiate :premises (@p452) :args (@t142)) % 0.39/0.61 (step @p454 :rule cnf_or_pos :args (@t147)) % 0.39/0.61 (step @p455 :rule reordering :premises (@p454) :args ((or @t121 @t146 @t145 (not @t147)))) % 0.39/0.61 (step @p456 :rule eq-symm :args (@t37 @t4)) % 0.39/0.61 (step @p457 :rule cong :premises (@p456) :args (@t43)) % 0.39/0.61 (step @p458 :rule nary_cong :premises (@p40 @p449 @p457) :args (@t44)) % 0.39/0.61 (step @p459 :rule cong :premises (@p458) :args (@t45)) % 0.39/0.61 (step @p460 :rule eq_resolve :premises (@p11 @p459)) % 0.39/0.61 (step @p461 :rule instantiate :premises (@p460) :args (@t142)) % 0.39/0.61 (step @p462 :rule cnf_or_pos :args (@t150)) % 0.39/0.61 (step @p463 :rule reordering :premises (@p462) :args ((or @t121 @t146 @t149 (not @t150)))) % 0.39/0.61 (step @p464 :rule refl :args (@t46)) % 0.39/0.61 (step @p465 :rule nary_cong :premises (@p40 @p449 @p464) :args (@t47)) % 0.39/0.61 (step @p466 :rule cong :premises (@p465) :args (@t48)) % 0.39/0.61 (step @p467 :rule eq_resolve :premises (@p13 @p466)) % 0.39/0.61 (step @p468 :rule instantiate :premises (@p467) :args (@t142)) % 0.39/0.61 (step @p469 :rule cnf_or_pos :args (@t152)) % 0.39/0.61 (step @p470 :rule reordering :premises (@p469) :args ((or @t121 @t146 @t151 (not @t152)))) % 0.39/0.61 (step @p471 :rule instantiate :premises (@p341) :args ((@list @t143))) % 0.39/0.61 (step @p472 :rule cnf_or_pos :args (@t155)) % 0.39/0.61 (step @p473 :rule reordering :premises (@p472) :args ((or @t148 @t153 @t154 (not @t155)))) % 0.39/0.61 (step @p474 :rule refl :args (@t156)) % 0.39/0.61 (step @p475 :rule bool-double-not-elim :args (@t144)) % 0.39/0.61 (step @p476 :rule nary_cong :premises (@p222 @p475 @p474) :args ((or @t107 (not @t145) @t156))) % 0.39/0.61 (assume-push @p656 @t3) % 0.39/0.61 (assume-push @p657 @t145) % 0.39/0.61 (assume-push @p658 @t145) % 0.39/0.61 (assume-push @p659 @t3) % 0.39/0.61 (step @p481 :rule false_intro :premises (@p657)) % 0.39/0.61 (step @p482 :rule refl :args (@t143)) % 0.39/0.61 (step @p483 :rule symm :premises (@p656)) % 0.39/0.61 (step @p484 :rule cong :premises (@p483 @p482) :args (@t154)) % 0.39/0.61 (step @p485 :rule trans :premises (@p484 @p481)) % 0.39/0.61 (step @p486 :rule false_elim :premises (@p485)) % 0.39/0.61 (step-pop @p660 :rule scope :premises (@p486)) % 0.39/0.61 (step-pop @p661 :rule scope :premises (@p660)) % 0.39/0.61 (step @p487 :rule process_scope :premises (@p661) :args (@t156)) % 0.39/0.61 (step @p490 :rule and_intro :premises (@p657 @p656)) % 0.39/0.61 (step @p491 :rule modus_ponens :premises (@p490 @p487)) % 0.39/0.61 (step-pop @p662 :rule scope :premises (@p491)) % 0.39/0.61 (step-pop @p663 :rule scope :premises (@p662)) % 0.39/0.61 (step @p492 :rule process_scope :premises (@p663) :args (@t156)) % 0.39/0.61 (step @p495 :rule implies_elim :premises (@p492)) % 0.39/0.61 (step @p496 :rule cnf_and_neg :args (@t157)) % 0.39/0.61 (step @p497 :rule resolution :premises (@p496 @p495) :args (true @t157)) % 0.39/0.61 (step @p498 :rule eq_resolve :premises (@p497 @p476)) % 0.39/0.61 (step @p499 :rule chain_m_resolution :premises (@p498 @p220 @p473 @p471 @p470 @p468 @p463 @p461 @p455 @p453) :args ((or @t121 @t146) (@list false false false false false true false true false) (@list @t3 @t154 @t155 @t151 @t152 @t148 @t150 @t144 @t147))) % 0.39/0.61 (step @p500 :rule chain_m_resolution :premises (@p499 @p390) :args (@t146 @t120 (@list @t121))) % 0.39/0.61 (assume-push @p664 @t3) % 0.39/0.61 (assume-push @p665 @t146) % 0.39/0.61 (assume-push @p666 @t146) % 0.39/0.61 (assume-push @p667 @t3) % 0.39/0.61 (step @p505 :rule true_intro :premises (@p665)) % 0.39/0.61 (step @p506 :rule symm :premises (@p664)) % 0.39/0.61 (step @p399 :rule refl :args (tptp.j)) % 0.39/0.61 (step @p507 :rule cong :premises (@p399 @p506) :args (@t158)) % 0.39/0.61 (step @p508 :rule trans :premises (@p507 @p505)) % 0.39/0.61 (step @p509 :rule true_elim :premises (@p508)) % 0.39/0.61 (step-pop @p668 :rule scope :premises (@p509)) % 0.39/0.61 (step-pop @p669 :rule scope :premises (@p668)) % 0.39/0.61 (step @p510 :rule process_scope :premises (@p669) :args (@t158)) % 0.39/0.61 (step @p513 :rule and_intro :premises (@p665 @p664)) % 0.39/0.61 (step @p514 :rule modus_ponens :premises (@p513 @p510)) % 0.39/0.61 (step-pop @p670 :rule scope :premises (@p514)) % 0.39/0.61 (step-pop @p671 :rule scope :premises (@p670)) % 0.39/0.61 (step @p515 :rule process_scope :premises (@p671) :args (@t158)) % 0.39/0.61 (step @p518 :rule implies_elim :premises (@p515)) % 0.39/0.61 (step @p519 :rule cnf_and_neg :args (@t159)) % 0.39/0.61 (step @p520 :rule resolution :premises (@p519 @p518) :args (true @t159)) % 0.39/0.61 (step @p521 :rule reordering :premises (@p520) :args ((or @t107 @t158 (not @t146)))) % 0.39/0.61 (step @p522 :rule chain_m_resolution :premises (@p521 @p220 @p500) :args (@t158 (@list false false) (@list @t3 @t146))) % 0.39/0.61 (step @p523 :rule cnf_or_pos :args (@t161)) % 0.39/0.61 (step @p524 :rule reordering :premises (@p523) :args ((or @t133 @t121 @t160 @t128 (not @t161)))) % 0.39/0.61 (step @p525 :rule chain_m_resolution :premises (@p524 @p417 @p390 @p522 @p446) :args (@t128 (@list true true false false) (@list @t133 @t121 @t158 @t161))) % 0.39/0.61 (step @p526 :rule bool-double-not-elim :args (@t67)) % 0.39/0.61 (step @p527 :rule refl :args (@t162)) % 0.39/0.61 (step @p528 :rule nary_cong :premises (@p222 @p527 @p526 @p356) :args ((or @t107 @t162 (not @t72) @t130))) % 0.39/0.61 (assume-push @p672 @t136) % 0.39/0.61 (assume-push @p673 @t3) % 0.39/0.61 (assume-push @p674 @t128) % 0.39/0.61 (assume-push @p675 @t72) % 0.39/0.61 (step @p271 :rule evaluate :args (@t112)) % 0.39/0.61 (step @p533 :rule true_intro :premises (@p672)) % 0.39/0.61 (step @p399 :rule refl :args (tptp.j)) % 0.39/0.61 (step @p534 :rule cong :premises (@p673 @p399) :args ((tptp.element tptp.n tptp.j))) % 0.39/0.61 (step @p535 :rule symm :premises (@p673)) % 0.39/0.61 (step @p536 :rule cong :premises (@p535 @p674) :args ((tptp.element tptp.k tptp.m))) % 0.39/0.61 (step @p318 :rule refl :args (tptp.m)) % 0.39/0.61 (step @p537 :rule cong :premises (@p673 @p318) :args (@t67)) % 0.39/0.61 (step @p538 :rule false_intro :premises (@p675)) % 0.39/0.61 (step @p539 :rule symm :premises (@p538)) % 0.39/0.61 (step @p540 :rule trans :premises (@p539 @p537 @p536 @p534 @p533)) % 0.39/0.61 (step @p541 false :rule eq_resolve :premises (@p540 @p271)) % 0.39/0.61 (step-pop @p676 :rule scope :premises (@p541)) % 0.39/0.61 (step-pop @p677 :rule scope :premises (@p676)) % 0.39/0.61 (step-pop @p678 :rule scope :premises (@p677)) % 0.39/0.61 (step-pop @p679 :rule scope :premises (@p678)) % 0.39/0.61 (step @p542 :rule process_scope :premises (@p679) :args (false)) % 0.39/0.61 (assume-push @p680 @t3) % 0.39/0.61 (assume-push @p681 @t136) % 0.39/0.61 (assume-push @p682 @t72) % 0.39/0.61 (assume-push @p683 @t128) % 0.39/0.61 (step @p551 :rule and_intro :premises (@p681 @p680 @p683 @p682)) % 0.39/0.61 (step-pop @p684 :rule scope :premises (@p551)) % 0.39/0.61 (step-pop @p685 :rule scope :premises (@p684)) % 0.39/0.61 (step-pop @p686 :rule scope :premises (@p685)) % 0.39/0.61 (step-pop @p687 :rule scope :premises (@p686)) % 0.39/0.61 (step @p552 :rule process_scope :premises (@p687) :args (@t163)) % 0.39/0.61 (step @p557 :rule implies_elim :premises (@p552)) % 0.39/0.61 (step @p558 :rule resolution :premises (@p557 @p542) :args (true @t163)) % 0.39/0.61 (step @p559 :rule not_and :premises (@p558)) % 0.39/0.61 (step @p560 :rule eq_resolve :premises (@p559 @p528)) % 0.39/0.61 (step @p561 false :rule chain_m_resolution :premises (@p560 @p525 @p445 @p265 @p220) :args (false (@list false false true false) (@list @t128 @t136 @t67 @t3))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------