%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV488+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 09:01:39 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV488+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 20:21:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.n $$unsorted) % 0.38/0.58 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.real_one $$unsorted) % 0.38/0.58 (declare-const tptp.lu (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.real_zero $$unsorted) % 0.38/0.58 (declare-const tptp.int_zero $$unsorted) % 0.38/0.58 (declare-const tptp.int_one $$unsorted) % 0.38/0.58 (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "J" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "I" $$unsorted)) % 0.38/0.58 (define @t3 () (= @t2 @t1)) % 0.38/0.58 (define @t4 () (tptp.int_less @t2 @t1)) % 0.38/0.58 (define @t5 () (tptp.int_leq @t2 @t1)) % 0.38/0.58 (define @t6 () (@list @t2 @t1)) % 0.38/0.58 (define @t7 () (@var "K" $$unsorted)) % 0.38/0.58 (define @t8 () (not @t3)) % 0.38/0.58 (define @t9 () (tptp.int_less tptp.int_zero tptp.int_one)) % 0.38/0.58 (define @t10 () (@list @t2)) % 0.38/0.58 (define @t11 () (@var "J2" $$unsorted)) % 0.38/0.58 (define @t12 () (@var "J1" $$unsorted)) % 0.38/0.58 (define @t13 () (@var "I2" $$unsorted)) % 0.38/0.58 (define @t14 () (@var "I1" $$unsorted)) % 0.38/0.58 (define @t15 () (@list @t7)) % 0.38/0.58 (define @t16 () (tptp.int_leq tptp.int_one @t2)) % 0.38/0.58 (define @t17 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t18 () (tptp.plus @t7 @t17)) % 0.38/0.58 (define @t19 () (tptp.a @t7 @t18)) % 0.38/0.58 (define @t20 () (tptp.int_leq @t7 @t2)) % 0.38/0.58 (define @t21 () (tptp.int_leq tptp.int_one @t7)) % 0.38/0.58 (define @t22 () (and @t21 @t20)) % 0.38/0.58 (define @t23 () (=> @t22 (= @t19 tptp.real_zero))) % 0.38/0.58 (define @t24 () (forall @t15 @t23)) % 0.38/0.58 (define @t25 () (= @t1 (tptp.plus @t2 @t17))) % 0.38/0.58 (define @t26 () (tptp.int_less tptp.int_zero @t17)) % 0.38/0.58 (define @t27 () (and @t26 @t25)) % 0.38/0.58 (define @t28 () (=> @t27 @t24)) % 0.38/0.58 (define @t29 () (@list @t17)) % 0.38/0.58 (define @t30 () (forall @t29 @t28)) % 0.38/0.58 (define @t31 () (tptp.a @t7 @t7)) % 0.38/0.58 (define @t32 () (tptp.int_leq @t7 @t1)) % 0.38/0.58 (define @t33 () (and @t21 @t32)) % 0.38/0.58 (define @t34 () (=> @t33 (= @t31 tptp.real_one))) % 0.38/0.58 (define @t35 () (forall @t15 @t34)) % 0.38/0.58 (define @t36 () (= (tptp.a @t18 @t7) (tptp.lu @t18 @t7))) % 0.38/0.58 (define @t37 () (forall @t15 (=> @t33 @t36))) % 0.38/0.58 (define @t38 () (= @t2 (tptp.plus @t1 @t17))) % 0.38/0.58 (define @t39 () (and @t26 @t38)) % 0.38/0.58 (define @t40 () (=> @t39 @t37)) % 0.38/0.58 (define @t41 () (forall @t29 @t40)) % 0.38/0.58 (define @t42 () (and @t41 @t35 @t30)) % 0.38/0.58 (define @t43 () (tptp.int_leq @t1 tptp.n)) % 0.38/0.58 (define @t44 () (tptp.int_leq tptp.int_one @t1)) % 0.38/0.58 (define @t45 () (tptp.int_leq @t2 tptp.n)) % 0.38/0.58 (define @t46 () (and @t16 @t45 @t44 @t43)) % 0.38/0.58 (define @t47 () (=> @t46 @t42)) % 0.38/0.58 (define @t48 () (forall @t6 @t47)) % 0.38/0.58 (define @t49 () (tptp.a @t2 @t1)) % 0.38/0.58 (define @t50 () (not (= @t49 tptp.real_zero))) % 0.38/0.58 (define @t51 () (=> @t3 @t50)) % 0.38/0.58 (define @t52 () (and @t16 @t5 @t43)) % 0.38/0.58 (define @t53 () (=> @t52 @t51)) % 0.38/0.58 (define @t54 () (forall @t6 @t53)) % 0.38/0.58 (define @t55 () (not @t54)) % 0.38/0.58 (define @t56 () (not (= tptp.real_zero (tptp.a @t1 @t1)))) % 0.38/0.58 (define @t57 () (not @t43)) % 0.38/0.58 (define @t58 () (not (tptp.int_leq @t1 @t1))) % 0.38/0.58 (define @t59 () (not @t44)) % 0.38/0.58 (define @t60 () (or @t59 @t58 @t57 @t56)) % 0.38/0.58 (define @t61 () (not (= @t1 @t1))) % 0.38/0.58 (define @t62 () (or @t59 @t58 @t57 @t61 @t56)) % 0.38/0.58 (define @t63 () (@list @t1)) % 0.38/0.58 (define @t64 () (not (= tptp.real_zero @t49))) % 0.38/0.58 (define @t65 () (not @t5)) % 0.38/0.58 (define @t66 () (not @t16)) % 0.38/0.58 (define @t67 () (or @t8 @t66 @t65 @t57 @t8 @t64)) % 0.38/0.58 (define @t68 () (or @t66 @t65 @t57 @t8 @t64)) % 0.38/0.58 (define @t69 () (forall @t10 @t68)) % 0.38/0.58 (define @t70 () (forall @t63 @t69)) % 0.38/0.58 (define @t71 () (forall (@list @t1 @t2) @t68)) % 0.38/0.58 (define @t72 () (or @t66 @t65 @t57)) % 0.38/0.58 (define @t73 () (=> @t3 @t64)) % 0.38/0.58 (define @t74 () (@quantifiers_skolemize (forall @t63 @t60) 0)) % 0.38/0.58 (define @t75 () (tptp.int_leq tptp.int_one @t74)) % 0.38/0.58 (define @t76 () (tptp.a @t74 @t74)) % 0.38/0.58 (define @t77 () (= tptp.real_zero @t76)) % 0.38/0.58 (define @t78 () (not @t77)) % 0.38/0.58 (define @t79 () (tptp.int_leq @t74 tptp.n)) % 0.38/0.58 (define @t80 () (not @t79)) % 0.38/0.58 (define @t81 () (tptp.int_leq @t74 @t74)) % 0.38/0.58 (define @t82 () (not @t81)) % 0.38/0.58 (define @t83 () (not @t75)) % 0.38/0.58 (define @t84 () (or @t83 @t82 @t80 @t78)) % 0.38/0.58 (define @t85 () (@list true)) % 0.38/0.58 (define @t86 () (@list @t84)) % 0.38/0.58 (define @t87 () (@var "BOUND_VARIABLE_7673" $$unsorted)) % 0.38/0.58 (define @t88 () (@var "BOUND_VARIABLE_7675" $$unsorted)) % 0.38/0.58 (define @t89 () (or (not (tptp.int_less tptp.int_zero @t87)) (not (= @t1 (tptp.plus @t2 @t87))) (not (tptp.int_leq tptp.int_one @t88)) (not (tptp.int_leq @t88 @t2)) (= tptp.real_zero (tptp.a @t88 (tptp.plus @t88 @t87))))) % 0.38/0.58 (define @t90 () (@var "BOUND_VARIABLE_7664" $$unsorted)) % 0.38/0.58 (define @t91 () (or (not (tptp.int_leq tptp.int_one @t90)) (not (tptp.int_leq @t90 @t1)) (= tptp.real_one (tptp.a @t90 @t90)))) % 0.38/0.58 (define @t92 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 0.38/0.58 (define @t93 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 0.38/0.58 (define @t94 () (tptp.plus @t92 @t93)) % 0.38/0.58 (define @t95 () (or (not (tptp.int_less tptp.int_zero @t93)) (not (= @t2 (tptp.plus @t1 @t93))) (not (tptp.int_leq tptp.int_one @t92)) (not (tptp.int_leq @t92 @t1)) (= (tptp.a @t94 @t92) (tptp.lu @t94 @t92)))) % 0.38/0.58 (define @t96 () (and @t95 @t91 @t89)) % 0.38/0.58 (define @t97 () (not @t45)) % 0.38/0.58 (define @t98 () (or @t66 @t97 @t59 @t57 @t96)) % 0.38/0.58 (define @t99 () (@list @t93 @t92 @t90 @t87 @t88)) % 0.38/0.58 (define @t100 () (forall @t99 @t98)) % 0.38/0.58 (define @t101 () (forall (@list @t87 @t88) @t89)) % 0.38/0.58 (define @t102 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 0.38/0.58 (define @t103 () (forall @t99 @t89)) % 0.38/0.58 (define @t104 () (forall (@list @t90) @t91)) % 0.38/0.58 (define @t105 () (@list @t7)) % 0.38/0.58 (define @t106 () (forall @t99 @t91)) % 0.38/0.58 (define @t107 () (forall (@list @t93 @t92) @t95)) % 0.38/0.58 (define @t108 () (@var "BOUND_VARIABLE_7584" $$unsorted)) % 0.38/0.58 (define @t109 () (forall @t99 @t95)) % 0.38/0.58 (define @t110 () (and @t109 @t106 @t103)) % 0.38/0.58 (define @t111 () (forall @t99 @t96)) % 0.38/0.58 (define @t112 () (or @t66 @t97 @t59 @t57 @t111)) % 0.38/0.58 (define @t113 () (= tptp.real_zero (tptp.a @t102 (tptp.plus @t102 @t17)))) % 0.38/0.58 (define @t114 () (not (tptp.int_leq @t102 @t2))) % 0.38/0.58 (define @t115 () (not (tptp.int_leq tptp.int_one @t102))) % 0.38/0.58 (define @t116 () (not @t25)) % 0.38/0.58 (define @t117 () (not @t26)) % 0.38/0.58 (define @t118 () (or @t117 @t116 @t115 @t114 @t113)) % 0.38/0.58 (define @t119 () (@list @t17 @t102)) % 0.38/0.58 (define @t120 () (= tptp.real_one @t31)) % 0.38/0.58 (define @t121 () (not @t32)) % 0.38/0.58 (define @t122 () (not @t21)) % 0.38/0.58 (define @t123 () (or @t122 @t121 @t120)) % 0.38/0.58 (define @t124 () (tptp.plus @t108 @t17)) % 0.38/0.58 (define @t125 () (= (tptp.a @t124 @t108) (tptp.lu @t124 @t108))) % 0.38/0.58 (define @t126 () (not (tptp.int_leq @t108 @t1))) % 0.38/0.58 (define @t127 () (not (tptp.int_leq tptp.int_one @t108))) % 0.38/0.58 (define @t128 () (not @t38)) % 0.38/0.58 (define @t129 () (or @t117 @t128 @t127 @t126 @t125)) % 0.38/0.58 (define @t130 () (@list @t17 @t108)) % 0.38/0.58 (define @t131 () (and (forall @t130 @t129) (forall @t15 @t123) (forall @t119 @t118))) % 0.38/0.58 (define @t132 () (or @t66 @t97 @t59 @t57 @t131)) % 0.38/0.58 (define @t133 () (or @t66 @t97 @t59 @t57)) % 0.38/0.58 (define @t134 () (or @t115 @t114 @t113)) % 0.38/0.58 (define @t135 () (or @t117 @t116 @t134)) % 0.38/0.58 (define @t136 () (forall @t119 @t135)) % 0.38/0.58 (define @t137 () (@list @t102)) % 0.38/0.58 (define @t138 () (forall @t137 @t135)) % 0.38/0.58 (define @t139 () (forall @t137 @t134)) % 0.38/0.58 (define @t140 () (or @t117 @t116 @t139)) % 0.38/0.58 (define @t141 () (= tptp.real_zero @t19)) % 0.38/0.58 (define @t142 () (not @t20)) % 0.38/0.58 (define @t143 () (or @t122 @t142 @t141)) % 0.38/0.58 (define @t144 () (forall @t15 @t143)) % 0.38/0.58 (define @t145 () (or @t117 @t116 @t144)) % 0.38/0.58 (define @t146 () (or @t122 @t121)) % 0.38/0.58 (define @t147 () (not @t33)) % 0.38/0.58 (define @t148 () (or @t127 @t126 @t125)) % 0.38/0.58 (define @t149 () (or @t117 @t128 @t148)) % 0.38/0.58 (define @t150 () (forall @t130 @t149)) % 0.38/0.58 (define @t151 () (@list @t108)) % 0.38/0.58 (define @t152 () (forall @t151 @t149)) % 0.38/0.58 (define @t153 () (forall @t151 @t148)) % 0.38/0.58 (define @t154 () (or @t117 @t128 @t153)) % 0.38/0.58 (define @t155 () (or @t122 @t121 @t36)) % 0.38/0.58 (define @t156 () (forall @t15 @t155)) % 0.38/0.58 (define @t157 () (or @t117 @t128 @t156)) % 0.38/0.58 (define @t158 () (= tptp.real_one @t76)) % 0.38/0.58 (define @t159 () (or @t83 @t82 @t158)) % 0.38/0.58 (define @t160 () (not @t159)) % 0.38/0.58 (define @t161 () (tptp.plus @t74 tptp.int_one)) % 0.38/0.58 (define @t162 () (not (= @t74 @t161))) % 0.38/0.58 (define @t163 () (not @t9)) % 0.38/0.58 (define @t164 () (and (or @t163 @t162 @t83 @t82 (= (tptp.a @t161 @t74) (tptp.lu @t161 @t74))) @t159 (or @t163 @t162 @t83 @t82 (= tptp.real_zero (tptp.a @t74 @t161))))) % 0.38/0.58 (define @t165 () (not @t164)) % 0.38/0.58 (define @t166 () (or @t83 @t80 @t83 @t80 @t164)) % 0.38/0.58 (assume @p1 (forall @t6 (= @t5 (or @t4 @t3)))) % 0.38/0.58 (assume @p2 (forall (@list @t2 @t1 @t7) (=> (and @t4 (tptp.int_less @t1 @t7)) (tptp.int_less @t2 @t7)))) % 0.38/0.58 (assume @p3 (forall @t6 (=> @t4 @t8))) % 0.38/0.58 (assume @p4 (forall @t6 (or @t4 (tptp.int_leq @t1 @t2)))) % 0.38/0.58 (assume @p5 @t9) % 0.38/0.58 (assume @p6 (forall @t6 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2)))) % 0.38/0.58 (assume @p7 (forall @t10 (= (tptp.plus @t2 tptp.int_zero) @t2))) % 0.38/0.58 (assume @p8 (forall (@list @t14 @t12 @t13 @t11) (=> (and (tptp.int_less @t14 @t12) (tptp.int_leq @t13 @t11)) (tptp.int_leq (tptp.plus @t14 @t13) (tptp.plus @t12 @t11))))) % 0.38/0.58 (assume @p9 (forall @t6 (= @t4 (exists @t15 (and (= (tptp.plus @t2 @t7) @t1) (tptp.int_less tptp.int_zero @t7)))))) % 0.38/0.58 (assume @p10 (forall @t10 (= (tptp.int_less tptp.int_zero @t2) @t16))) % 0.38/0.58 (assume @p11 (not (= tptp.real_zero tptp.real_one))) % 0.38/0.58 (assume @p12 @t48) % 0.38/0.58 (assume @p13 @t55) % 0.38/0.58 (assume @p14 true) % 0.38/0.58 (step @p15 :rule aci_norm :args ((= (or @t59 @t58 @t57 false @t56) @t60))) % 0.38/0.58 (step @p16 :rule refl :args (@t56)) % 0.38/0.58 (step @p17 :rule evaluate :args ((not true))) % 0.38/0.58 (step @p18 :rule eq-refl :args (@t1)) % 0.38/0.58 (step @p19 :rule cong :premises (@p18) :args (@t61)) % 0.38/0.58 (step @p20 :rule trans :premises (@p19 @p17)) % 0.38/0.58 (step @p21 :rule refl :args (@t57)) % 0.38/0.58 (step @p22 :rule refl :args (@t58)) % 0.38/0.58 (step @p23 :rule refl :args (@t59)) % 0.38/0.58 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21 @p20 @p16) :args (@t62)) % 0.38/0.58 (step @p25 :rule trans :premises (@p24 @p15)) % 0.38/0.58 (step @p26 :rule cong :premises (@p25) :args ((forall @t63 @t62))) % 0.38/0.58 (step @p27 :rule quant-var-elim-eq :args ((= (forall @t10 @t67) @t62))) % 0.38/0.58 (step @p28 :rule aci_norm :args ((= @t68 @t67))) % 0.38/0.58 (step @p29 :rule cong :premises (@p28) :args (@t69)) % 0.38/0.58 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.58 (step @p31 :rule cong :premises (@p30) :args (@t70)) % 0.38/0.58 (step @p32 :rule quant-merge-prenex :args ((= @t70 @t71))) % 0.38/0.58 (step @p33 :rule symm :premises (@p32)) % 0.38/0.58 (step @p34 :rule quant_var_reordering :args ((= (forall @t6 @t68) @t71))) % 0.38/0.58 (step @p35 :rule trans :premises (@p34 @p33 @p31)) % 0.38/0.58 (step @p36 :rule trans :premises (@p35 @p26)) % 0.38/0.58 (step @p37 :rule aci_norm :args ((= (or @t72 (or @t8 @t64)) @t68))) % 0.38/0.58 (step @p38 :rule bool-impl-elim :args (@t3 @t64)) % 0.38/0.58 (step @p39 :rule aci_norm :args ((= (or @t66 (or @t65 @t57)) @t72))) % 0.38/0.58 (step @p40 :rule bool-and-de-morgan :args (@t5 @t43 true)) % 0.38/0.58 (step @p41 :rule refl :args (@t66)) % 0.38/0.58 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t66 (not (and @t5 @t43))))) % 0.38/0.58 (step @p43 :rule bool-and-de-morgan :args (@t16 @t5 (and @t43))) % 0.38/0.58 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.58 (step @p45 :rule trans :premises (@p44 @p39)) % 0.38/0.58 (step @p46 :rule nary_cong :premises (@p45 @p38) :args ((or (not @t52) @t73))) % 0.38/0.58 (step @p47 :rule trans :premises (@p46 @p37)) % 0.38/0.58 (step @p48 :rule bool-impl-elim :args (@t52 @t73)) % 0.38/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.58 (step @p50 :rule cong :premises (@p49) :args ((forall @t6 (=> @t52 @t73)))) % 0.38/0.58 (step @p51 :rule trans :premises (@p50 @p36)) % 0.38/0.58 (step @p52 :rule eq-symm :args (@t49 tptp.real_zero)) % 0.38/0.58 (step @p53 :rule cong :premises (@p52) :args (@t50)) % 0.38/0.58 (step @p54 :rule refl :args (@t3)) % 0.38/0.58 (step @p55 :rule cong :premises (@p54 @p53) :args (@t51)) % 0.38/0.58 (step @p56 :rule refl :args (@t52)) % 0.38/0.58 (step @p57 :rule cong :premises (@p56 @p55) :args (@t53)) % 0.38/0.58 (step @p58 :rule cong :premises (@p57) :args (@t54)) % 0.38/0.58 (step @p59 :rule trans :premises (@p58 @p51)) % 0.38/0.58 (step @p60 :rule cong :premises (@p59) :args (@t55)) % 0.38/0.58 (step @p61 :rule eq_resolve :premises (@p13 @p60)) % 0.38/0.58 (step @p62 :rule skolemize :premises (@p61)) % 0.38/0.58 (step @p63 :rule bool-double-not-elim :args (@t75)) % 0.38/0.58 (step @p64 :rule refl :args (@t84)) % 0.38/0.58 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t84 (not @t83)))) % 0.38/0.58 (step @p66 :rule cnf_or_neg :args (@t84 0)) % 0.38/0.58 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.38/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t75 @t84))) % 0.38/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p62) :args (@t75 @t85 @t86)) % 0.38/0.58 (step @p70 :rule bool-double-not-elim :args (@t79)) % 0.38/0.58 (step @p71 :rule nary_cong :premises (@p64 @p70) :args ((or @t84 (not @t80)))) % 0.38/0.58 (step @p72 :rule cnf_or_neg :args (@t84 2)) % 0.38/0.58 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.38/0.58 (step @p74 :rule reordering :premises (@p73) :args ((or @t79 @t84))) % 0.38/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p62) :args (@t79 @t85 @t86)) % 0.38/0.58 (step @p76 :rule quant-merge-prenex :args ((= (forall @t6 @t100) (forall (@list @t2 @t1 @t93 @t92 @t90 @t87 @t88) @t98)))) % 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@t105)) % 0.38/0.58 (step @p119 :rule refl :args (@t116)) % 0.38/0.58 (step @p120 :rule refl :args (@t117)) % 0.38/0.58 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args (@t140)) % 0.38/0.58 (step @p122 :rule quant-miniscope-or :args ((= @t138 @t140))) % 0.38/0.58 (step @p123 :rule trans :premises (@p122 @p121)) % 0.38/0.58 (step @p124 :rule symm :premises (@p123)) % 0.38/0.58 (step @p125 :rule cong :premises (@p124) :args ((forall @t29 @t145))) % 0.38/0.58 (step @p126 :rule trans :premises (@p125 @p117)) % 0.38/0.58 (step @p127 :rule trans :premises (@p126 @p116)) % 0.38/0.58 (step @p128 :rule aci_norm :args ((= (or (or @t117 @t116) @t144) @t145))) % 0.38/0.58 (step @p129 :rule refl :args (@t144)) % 0.38/0.58 (step @p130 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.38/0.58 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t27) @t144))) % 0.38/0.58 (step @p132 :rule trans :premises (@p131 @p128)) % 0.38/0.58 (step @p133 :rule bool-impl-elim 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(step @p206 :rule symm :premises (@p11)) % 0.38/0.58 (step @p207 :rule false_intro :premises (@p206)) % 0.38/0.58 (step @p208 :rule bool-double-not-elim :args (@t77)) % 0.38/0.58 (step @p209 :rule nary_cong :premises (@p64 @p208) :args ((or @t84 (not @t78)))) % 0.38/0.58 (step @p210 :rule cnf_or_neg :args (@t84 3)) % 0.38/0.58 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.38/0.58 (step @p212 :rule reordering :premises (@p211) :args ((or @t77 @t84))) % 0.38/0.58 (step @p213 :rule chain_m_resolution :premises (@p212 @p62) :args (@t77 @t85 @t86)) % 0.38/0.58 (step @p214 :rule symm :premises (@p213)) % 0.38/0.58 (step @p215 :rule refl :args (tptp.real_one)) % 0.38/0.58 (step @p216 :rule cong :premises (@p215 @p214) :args (@t158)) % 0.38/0.58 (step @p217 :rule trans :premises (@p216 @p207)) % 0.38/0.58 (step @p218 :rule false_elim :premises (@p217)) % 0.38/0.58 (step @p219 :rule bool-double-not-elim :args (@t81)) % 0.38/0.59 (step @p220 :rule nary_cong :premises (@p64 @p219) :args ((or @t84 (not @t82)))) % 0.38/0.59 (step @p221 :rule cnf_or_neg :args (@t84 1)) % 0.38/0.59 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 0.38/0.59 (step @p223 :rule reordering :premises (@p222) :args ((or @t81 @t84))) % 0.38/0.59 (step @p224 :rule chain_m_resolution :premises (@p223 @p62) :args (@t81 @t85 @t86)) % 0.38/0.59 (step @p225 :rule cnf_or_pos :args (@t159)) % 0.38/0.59 (step @p226 :rule reordering :premises (@p225) :args ((or @t83 @t82 @t158 @t160))) % 0.38/0.59 (step @p227 :rule chain_m_resolution :premises (@p226 @p69 @p224 @p218) :args (@t160 (@list false false true) (@list @t75 @t81 @t158))) % 0.38/0.59 (step @p228 :rule cnf_and_pos :args (@t164 1)) % 0.38/0.59 (step @p229 :rule reordering :premises (@p228) :args ((or @t159 @t165))) % 0.38/0.59 (step @p230 :rule chain_m_resolution :premises (@p229 @p227) :args (@t165 @t85 (@list @t159))) % 0.38/0.59 (step @p231 :rule cnf_or_pos :args (@t166)) % 0.38/0.59 (step @p232 :rule factoring :premises (@p231)) % 0.38/0.59 (step @p233 :rule reordering :premises (@p232) :args ((or @t83 @t80 @t164 (not @t166)))) % 0.38/0.59 (step @p234 false :rule chain_m_resolution :premises (@p233 @p230 @p205 @p75 @p69) :args (false (@list true false false false) (@list @t164 @t166 @t79 @t75))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------