%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS258+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:29:11 AM UTC 2026 % Result : Theorem 28.03s 28.27s % Output : Proof 28.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS258+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 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 : n006.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 05:37:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 28.03/28.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.03/28.27 --- Run --no-e-matching --full-saturate-quant at 6... % 28.03/28.27 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.03/28.27 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.03/28.27 % SZS status Theorem % 28.03/28.27 % SZS output start Proof % 28.03/28.27 ( % 28.03/28.27 (declare-sort $$unsorted 0) % 28.03/28.27 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 28.03/28.27 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 28.03/28.27 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 28.03/28.27 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 28.03/28.27 (declare-const tptp.noc $$unsorted) % 28.03/28.27 (declare-const tptp.uns $$unsorted) % 28.03/28.27 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 28.03/28.27 (declare-const tptp.tca $$unsorted) % 28.03/28.27 (declare-const tptp.sca $$unsorted) % 28.03/28.27 (declare-const tptp.wth $$unsorted) % 28.03/28.27 (declare-const tptp.unp $$unsorted) % 28.03/28.27 (declare-const tptp.wca $$unsorted) % 28.03/28.27 (declare-const tptp.wec $$unsorted) % 28.03/28.27 (declare-const tptp.sap $$unsorted) % 28.03/28.27 (declare-const tptp.wtc $$unsorted) % 28.03/28.27 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 28.03/28.27 (declare-const tptp.sat $$unsorted) % 28.03/28.27 (declare-const tptp.cax $$unsorted) % 28.03/28.27 (declare-const tptp.eqv $$unsorted) % 28.03/28.27 (declare-const tptp.esa $$unsorted) % 28.03/28.27 (declare-const tptp.csa $$unsorted) % 28.03/28.27 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.03/28.27 (declare-const tptp.thm $$unsorted) % 28.03/28.27 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 28.03/28.27 (declare-const tptp.eth $$unsorted) % 28.03/28.27 (declare-const tptp.tac $$unsorted) % 28.03/28.27 (declare-const tptp.tau $$unsorted) % 28.03/28.27 (define @t1 () (@var "C" $$unsorted)) % 28.03/28.27 (define @t2 () (@var "Ax" $$unsorted)) % 28.03/28.27 (define @t3 () (@var "I2" $$unsorted)) % 28.03/28.27 (define @t4 () (tptp.model @t3 @t1)) % 28.03/28.27 (define @t5 () (@list @t3)) % 28.03/28.27 (define @t6 () (exists @t5 @t4)) % 28.03/28.27 (define @t7 () (@var "I1" $$unsorted)) % 28.03/28.27 (define @t8 () (tptp.model @t7 @t2)) % 28.03/28.27 (define @t9 () (@list @t7)) % 28.03/28.27 (define @t10 () (exists @t9 @t8)) % 28.03/28.27 (define @t11 () (not @t10)) % 28.03/28.27 (define @t12 () (@list @t2 @t1)) % 28.03/28.27 (define @t13 () (tptp.model @t7 @t1)) % 28.03/28.27 (define @t14 () (and @t8 @t13)) % 28.03/28.27 (define @t15 () (exists @t9 @t14)) % 28.03/28.27 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 28.03/28.27 (define @t17 () (forall @t9 (=> @t8 @t13))) % 28.03/28.27 (define @t18 () (= @t17 @t16)) % 28.03/28.27 (define @t19 () (forall @t12 @t18)) % 28.03/28.27 (define @t20 () (tptp.status @t2 @t1 tptp.eqv)) % 28.03/28.27 (define @t21 () (tptp.model @t3 @t2)) % 28.03/28.27 (define @t22 () (forall @t5 (= @t21 @t4))) % 28.03/28.27 (define @t23 () (and @t10 @t22)) % 28.03/28.27 (define @t24 () (= @t23 @t20)) % 28.03/28.27 (define @t25 () (forall @t12 @t24)) % 28.03/28.27 (define @t26 () (forall @t5 @t4)) % 28.03/28.27 (define @t27 () (@var "I3" $$unsorted)) % 28.03/28.27 (define @t28 () (tptp.model @t27 @t2)) % 28.03/28.27 (define @t29 () (not @t28)) % 28.03/28.27 (define @t30 () (tptp.model @t27 @t1)) % 28.03/28.27 (define @t31 () (@list @t27)) % 28.03/28.27 (define @t32 () (exists @t31 (and @t30 @t29))) % 28.03/28.27 (define @t33 () (forall @t5 (=> @t21 @t4))) % 28.03/28.27 (define @t34 () (not @t21)) % 28.03/28.27 (define @t35 () (exists @t5 @t34)) % 28.03/28.27 (define @t36 () (@var "I4" $$unsorted)) % 28.03/28.27 (define @t37 () (tptp.model @t36 @t1)) % 28.03/28.27 (define @t38 () (not @t37)) % 28.03/28.27 (define @t39 () (@list @t36)) % 28.03/28.27 (define @t40 () (exists @t39 @t38)) % 28.03/28.27 (define @t41 () (not @t30)) % 28.03/28.27 (define @t42 () (tptp.not @t1)) % 28.03/28.27 (define @t43 () (tptp.model @t3 @t42)) % 28.03/28.27 (define @t44 () (@var "S2" $$unsorted)) % 28.03/28.27 (define @t45 () (@var "S1" $$unsorted)) % 28.03/28.27 (define @t46 () (tptp.mighta @t45 @t44)) % 28.03/28.27 (define @t47 () (tptp.status @t2 @t1 @t44)) % 28.03/28.27 (define @t48 () (tptp.status @t2 @t1 @t45)) % 28.03/28.27 (define @t49 () (and @t48 @t47)) % 28.03/28.27 (define @t50 () (exists @t12 @t49)) % 28.03/28.27 (define @t51 () (= @t50 @t46)) % 28.03/28.27 (define @t52 () (@list @t45 @t44)) % 28.03/28.27 (define @t53 () (forall @t52 @t51)) % 28.03/28.27 (define @t54 () (not @t47)) % 28.03/28.27 (define @t55 () (@var "F" $$unsorted)) % 28.03/28.27 (define @t56 () (@var "I" $$unsorted)) % 28.03/28.27 (define @t57 () (tptp.model @t56 (tptp.not @t55))) % 28.03/28.27 (define @t58 () (tptp.model @t56 @t55)) % 28.03/28.27 (define @t59 () (@list @t56 @t55)) % 28.03/28.27 (define @t60 () (@list @t56)) % 28.03/28.27 (define @t61 () (@list @t55)) % 28.03/28.27 (define @t62 () (and @t29 @t30)) % 28.03/28.27 (define @t63 () (exists @t31 @t62)) % 28.03/28.27 (define @t64 () (and @t10 @t33 @t63 @t40)) % 28.03/28.27 (define @t65 () (exists @t12 @t64)) % 28.03/28.27 (define @t66 () (tptp.mighta tptp.eqv tptp.thm)) % 28.03/28.27 (define @t67 () (forall @t12 (not @t49))) % 28.03/28.27 (define @t68 () (not @t67)) % 28.03/28.27 (define @t69 () (forall @t12 (or (not @t20) (not @t16)))) % 28.03/28.27 (define @t70 () (not @t69)) % 28.03/28.27 (define @t71 () (= @t66 @t70)) % 28.03/28.27 (define @t72 () (not @t71)) % 28.03/28.27 (define @t73 () (@list true false)) % 28.03/28.27 (define @t74 () (not @t8)) % 28.03/28.27 (define @t75 () (forall @t9 @t74)) % 28.03/28.27 (define @t76 () (not @t75)) % 28.03/28.27 (define @t77 () (and @t76 (forall @t5 (= @t4 @t21)))) % 28.03/28.27 (define @t78 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 28.03/28.27 (define @t79 () (not (tptp.model @t78 @t1))) % 28.03/28.27 (define @t80 () (tptp.model @t78 @t2)) % 28.03/28.27 (define @t81 () (@var "BOUND_VARIABLE_7935" $$unsorted)) % 28.03/28.27 (define @t82 () (tptp.model @t81 @t1)) % 28.03/28.27 (define @t83 () (forall @t5 (or @t34 @t4))) % 28.03/28.27 (define @t84 () (not @t83)) % 28.03/28.27 (define @t85 () (@var "BOUND_VARIABLE_7925" $$unsorted)) % 28.03/28.27 (define @t86 () (not (tptp.model @t85 @t2))) % 28.03/28.27 (define @t87 () (or @t86 @t84 @t82 @t80 @t79)) % 28.03/28.27 (define @t88 () (@list @t2 @t1 @t85 @t78 @t81)) % 28.03/28.27 (define @t89 () (forall @t88 @t87)) % 28.03/28.27 (define @t90 () (@quantifiers_skolemize @t89 0)) % 28.03/28.27 (define @t91 () (tptp.status @t90 @t90 tptp.eqv)) % 28.03/28.27 (define @t92 () (tptp.model @t7 @t90)) % 28.03/28.27 (define @t93 () (not @t92)) % 28.03/28.27 (define @t94 () (forall @t9 @t93)) % 28.03/28.27 (define @t95 () (not @t94)) % 28.03/28.27 (define @t96 () (tptp.model @t3 @t90)) % 28.03/28.27 (define @t97 () (forall @t5 (= @t96 @t96))) % 28.03/28.27 (define @t98 () (and @t95 @t97)) % 28.03/28.27 (define @t99 () (= @t91 @t98)) % 28.03/28.27 (define @t100 () (forall @t12 (= @t20 @t77))) % 28.03/28.27 (define @t101 () (@list @t90 @t90)) % 28.03/28.27 (define @t102 () (= @t95 @t91)) % 28.03/28.27 (define @t103 () (@list false)) % 28.03/28.27 (define @t104 () (or @t80 @t79)) % 28.03/28.27 (define @t105 () (or @t86 @t84 @t104 @t82)) % 28.03/28.27 (define @t106 () (forall @t88 @t105)) % 28.03/28.27 (define @t107 () (forall (@list @t85 @t78 @t81) @t105)) % 28.03/28.27 (define @t108 () (forall (@list @t81) @t82)) % 28.03/28.27 (define @t109 () (forall (@list @t78) @t104)) % 28.03/28.27 (define @t110 () (forall (@list @t85) @t86)) % 28.03/28.27 (define @t111 () (@list @t7)) % 28.03/28.27 (define @t112 () (or @t110 @t84 @t109 @t108)) % 28.03/28.27 (define @t113 () (forall @t39 @t37)) % 28.03/28.27 (define @t114 () (forall @t31 (or @t28 @t41))) % 28.03/28.27 (define @t115 () (not @t113)) % 28.03/28.27 (define @t116 () (not @t115)) % 28.03/28.27 (define @t117 () (not @t114)) % 28.03/28.27 (define @t118 () (not @t117)) % 28.03/28.27 (define @t119 () (not @t76)) % 28.03/28.27 (define @t120 () (or @t119 @t84 @t118 @t116)) % 28.03/28.27 (define @t121 () (and @t76 @t83 @t117 @t115)) % 28.03/28.27 (define @t122 () (forall @t12 (not @t121))) % 28.03/28.27 (define @t123 () (not @t122)) % 28.03/28.27 (define @t124 () (forall @t39 (not @t38))) % 28.03/28.27 (define @t125 () (not @t124)) % 28.03/28.27 (define @t126 () (forall @t31 (not @t62))) % 28.03/28.27 (define @t127 () (not @t126)) % 28.03/28.27 (define @t128 () (@quantifiers_skolemize @t89 2)) % 28.03/28.27 (define @t129 () (tptp.model @t128 @t90)) % 28.03/28.27 (define @t130 () (@quantifiers_skolemize @t89 1)) % 28.03/28.27 (define @t131 () (@quantifiers_skolemize @t89 3)) % 28.03/28.27 (define @t132 () (not @t96)) % 28.03/28.27 (define @t133 () (not @t129)) % 28.03/28.27 (define @t134 () (or @t133 (not (forall @t5 (or @t132 (tptp.model @t3 @t130)))) (tptp.model (@quantifiers_skolemize @t89 4) @t130) (tptp.model @t131 @t90) (not (tptp.model @t131 @t130)))) % 28.03/28.27 (define @t135 () (@list true)) % 28.03/28.27 (define @t136 () (forall @t5 @t132)) % 28.03/28.27 (define @t137 () (not @t136)) % 28.03/28.27 (define @t138 () (not @t102)) % 28.03/28.27 (define @t139 () (forall @t9 (or @t74 @t13))) % 28.03/28.27 (define @t140 () (tptp.status @t90 @t90 tptp.thm)) % 28.03/28.27 (define @t141 () (forall @t9 (or @t93 @t92))) % 28.03/28.27 (define @t142 () (= @t140 @t141)) % 28.03/28.27 (define @t143 () (forall @t12 (= @t16 @t139))) % 28.03/28.27 (define @t144 () (not @t140)) % 28.03/28.27 (define @t145 () (not @t91)) % 28.03/28.27 (define @t146 () (or @t145 @t144)) % 28.03/28.27 (define @t147 () (not @t146)) % 28.03/28.27 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 28.03/28.27 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 28.03/28.27 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 28.03/28.27 (assume @p4 (forall @t12 (= @t15 (tptp.status @t2 @t1 tptp.sat)))) % 28.03/28.27 (assume @p5 @t19) % 28.03/28.27 (assume @p6 @t25) % 28.03/28.27 (assume @p7 (forall @t12 (= (and @t10 @t26) (tptp.status @t2 @t1 tptp.tac)))) % 28.03/28.27 (assume @p8 (forall @t12 (= (and @t10 @t33 @t32) (tptp.status @t2 @t1 tptp.wec)))) % 28.03/28.27 (assume @p9 (forall @t12 (= (and @t10 @t35 (forall @t31 (= @t28 @t30))) (tptp.status @t2 @t1 tptp.eth)))) % 28.03/28.27 (assume @p10 (forall @t12 (= (forall @t9 @t14) (tptp.status @t2 @t1 tptp.tau)))) % 28.03/28.27 (assume @p11 (forall @t12 (= (and @t10 @t35 (forall @t31 @t30)) (tptp.status @t2 @t1 tptp.wtc)))) % 28.03/28.27 (assume @p12 (forall @t12 (= (and @t10 @t33 @t32 @t40) (tptp.status @t2 @t1 tptp.wth)))) % 28.03/28.27 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 28.03/28.27 (assume @p14 (forall @t12 (= (and @t11 @t6) (tptp.status @t2 @t1 tptp.sca)))) % 28.03/28.27 (assume @p15 (forall @t12 (= (and @t11 @t26) (tptp.status @t2 @t1 tptp.tca)))) % 28.03/28.27 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t31 @t41)) (tptp.status @t2 @t1 tptp.wca)))) % 28.03/28.27 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t42))) (tptp.status @t2 @t1 tptp.csa)))) % 28.03/28.27 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t43)) (tptp.status @t2 @t1 tptp.uns)))) % 28.03/28.27 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t21 @t43))) (tptp.status @t2 @t1 tptp.noc)))) % 28.03/28.27 (assume @p20 @t53) % 28.03/28.27 (assume @p21 (forall @t52 (= (forall @t12 (=> @t48 @t47)) (tptp.isa @t45 @t44)))) % 28.03/28.27 (assume @p22 (forall @t52 (= (exists @t12 (and @t48 @t54)) (tptp.nota @t45 @t44)))) % 28.03/28.27 (assume @p23 (forall @t52 (= (forall @t12 (=> @t48 @t54)) (tptp.nevera @t45 @t44)))) % 28.03/28.27 (assume @p24 (forall @t52 (= (forall @t12 (xor @t48 @t47)) (tptp.xora @t45 @t44)))) % 28.03/28.27 (assume @p25 (forall @t59 (xor @t58 @t57))) % 28.03/28.27 (assume @p26 (forall @t59 (= @t58 (not @t57)))) % 28.03/28.27 (assume @p27 (exists @t61 (forall @t60 @t58))) % 28.03/28.27 (assume @p28 (exists @t61 (and (exists @t9 (tptp.model @t7 @t55)) (exists @t5 (not (tptp.model @t3 @t55)))))) % 28.03/28.27 (assume @p29 (exists @t61 (forall @t60 (not @t58)))) % 28.03/28.27 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t34 (not @t4)))))) % 28.03/28.27 (assume @p31 @t65) % 28.03/28.27 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 28.03/28.27 (assume @p33 (not @t66)) % 28.03/28.27 (assume @p34 true) % 28.03/28.27 (step @p35 :rule eq-symm :args ((not (forall @t12 (or (not @t48) @t54))) @t46)) % 28.03/28.27 (step @p36 :rule refl :args (@t46)) % 28.03/28.27 (step @p37 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 28.03/28.27 (step @p38 :rule cong :premises (@p37) :args (@t67)) % 28.03/28.27 (step @p39 :rule cong :premises (@p38) :args (@t68)) % 28.03/28.27 (step @p40 :rule exists-elim :args ((= @t50 @t68))) % 28.03/28.27 (step @p41 :rule trans :premises (@p40 @p39)) % 28.03/28.27 (step @p42 :rule cong :premises (@p41 @p36) :args (@t51)) % 28.03/28.27 (step @p43 :rule trans :premises (@p42 @p35)) % 28.03/28.27 (step @p44 :rule cong :premises (@p43) :args (@t53)) % 28.03/28.27 (step @p45 :rule eq_resolve :premises (@p20 @p44)) % 28.03/28.27 (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.eqv tptp.thm))) % 28.03/28.27 (step @p47 :rule bool-double-not-elim :args (@t69)) % 28.03/28.27 (step @p48 :rule refl :args (@t66)) % 28.03/28.27 (step @p49 :rule refl :args (@t72)) % 28.03/28.27 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args ((or @t72 @t66 (not @t70)))) % 28.03/28.27 (step @p51 :rule cnf_equiv_pos2 :args (@t71)) % 28.03/28.27 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 28.03/28.27 (step @p53 :rule reordering :premises (@p52) :args ((or @t66 @t69 @t72))) % 28.03/28.27 (step @p54 :rule chain_m_resolution :premises (@p53 @p33 @p46) :args (@t69 @t73 (@list @t66 @t71))) % 28.03/28.27 (step @p55 :rule eq-symm :args (@t77 @t20)) % 28.03/28.27 (step @p56 :rule refl :args (@t20)) % 28.03/28.27 (step @p57 :rule eq-symm :args (@t21 @t4)) % 28.03/28.27 (step @p58 :rule cong :premises (@p57) :args (@t22)) % 28.03/28.27 (step @p59 :rule exists-elim :args ((= @t10 @t76))) % 28.03/28.27 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t23)) % 28.03/28.27 (step @p61 :rule cong :premises (@p60 @p56) :args (@t24)) % 28.03/28.27 (step @p62 :rule trans :premises (@p61 @p55)) % 28.03/28.27 (step @p63 :rule cong :premises (@p62) :args (@t25)) % 28.03/28.27 (step @p64 :rule eq_resolve :premises (@p6 @p63)) % 28.03/28.27 (step @p65 :rule eq-symm :args (@t91 @t95)) % 28.03/28.27 (step @p66 :rule aci_norm :args ((= (and @t95 true) @t95))) % 28.03/28.27 (step @p67 :rule quant-unused-vars :args ((= (forall @t5 true) true))) % 28.03/28.27 (step @p68 :rule eq-refl :args (@t96)) % 28.03/28.27 (step @p69 :rule cong :premises (@p68) :args (@t97)) % 28.03/28.27 (step @p70 :rule trans :premises (@p69 @p67)) % 28.03/28.27 (step @p71 :rule refl :args (@t95)) % 28.03/28.27 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t98)) % 28.03/28.27 (step @p73 :rule trans :premises (@p72 @p66)) % 28.03/28.27 (step @p74 :rule refl :args (@t91)) % 28.03/28.27 (step @p75 :rule cong :premises (@p74 @p73) :args (@t99)) % 28.03/28.27 (step @p76 :rule trans :premises (@p75 @p65)) % 28.03/28.27 (step @p77 :rule refl :args (@t100)) % 28.03/28.27 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t100 @t99))) % 28.03/28.27 (assume-push @p199 @t100) % 28.03/28.27 (step @p80 :rule instantiate :premises (@p64) :args (@t101)) % 28.03/28.27 (step-pop @p200 :rule scope :premises (@p80)) % 28.03/28.27 (step @p81 :rule process_scope :premises (@p200) :args (@t99)) % 28.03/28.27 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 28.03/28.27 (step @p84 :rule implies_elim :premises (@p83)) % 28.03/28.27 (step @p85 :rule chain_m_resolution :premises (@p84 @p64) :args (@t102 @t103 (@list @t100))) % 28.03/28.27 (step @p86 :rule aci_norm :args ((= @t105 @t87))) % 28.03/28.27 (step @p87 :rule cong :premises (@p86) :args (@t106)) % 28.03/28.27 (step @p88 :rule quant-merge-prenex :args ((= (forall @t12 @t107) @t106))) % 28.03/28.27 (step @p89 :rule alpha_equiv :args (@t108 (@list @t81) (@list @t36))) % 28.03/28.27 (step @p90 :rule alpha_equiv :args (@t109 (@list @t78) (@list @t27))) % 28.03/28.27 (step @p91 :rule refl :args (@t84)) % 28.03/28.27 (step @p92 :rule alpha_equiv :args (@t110 (@list @t85) @t111)) % 28.03/28.27 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89) :args (@t112)) % 28.03/28.27 (step @p94 :rule quant-miniscope-or :args ((= @t107 @t112))) % 28.03/28.27 (step @p95 :rule trans :premises (@p94 @p93)) % 28.03/28.27 (step @p96 :rule symm :premises (@p95)) % 28.03/28.27 (step @p97 :rule cong :premises (@p96) :args ((forall @t12 (or @t75 @t84 @t114 @t113)))) % 28.03/28.27 (step @p98 :rule trans :premises (@p97 @p88)) % 28.03/28.27 (step @p99 :rule trans :premises (@p98 @p87)) % 28.03/28.27 (step @p100 :rule bool-double-not-elim :args (@t113)) % 28.03/28.27 (step @p101 :rule bool-double-not-elim :args (@t114)) % 28.03/28.27 (step @p102 :rule bool-double-not-elim :args (@t75)) % 28.03/28.27 (step @p103 :rule nary_cong :premises (@p102 @p91 @p101 @p100) :args (@t120)) % 28.03/28.27 (step @p104 :rule aci_norm :args ((= (or @t119 (or @t84 (or @t118 @t116))) @t120))) % 28.03/28.27 (step @p105 :rule trans :premises (@p104 @p103)) % 28.03/28.27 (step @p106 :rule bool-and-de-morgan :args (@t117 @t115 true)) % 28.03/28.27 (step @p107 :rule nary_cong :premises (@p91 @p106) :args ((or @t84 (not (and @t117 @t115))))) % 28.03/28.27 (step @p108 :rule bool-and-de-morgan :args (@t83 @t117 (and @t115))) % 28.03/28.27 (step @p109 :rule trans :premises (@p108 @p107)) % 28.03/28.27 (step @p110 :rule refl :args (@t119)) % 28.03/28.27 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t119 (not (and @t83 @t117 @t115))))) % 28.03/28.27 (step @p112 :rule bool-and-de-morgan :args (@t76 @t83 (and @t117 @t115))) % 28.03/28.27 (step @p113 :rule trans :premises (@p112 @p111)) % 28.03/28.27 (step @p114 :rule trans :premises (@p113 @p105)) % 28.03/28.27 (step @p115 :rule cong :premises (@p114) :args (@t122)) % 28.03/28.27 (step @p116 :rule trans :premises (@p115 @p99)) % 28.03/28.27 (step @p117 :rule cong :premises (@p116) :args (@t123)) % 28.03/28.27 (step @p118 :rule exists-elim :args ((= (exists @t12 @t121) @t123))) % 28.03/28.27 (step @p119 :rule trans :premises (@p118 @p117)) % 28.03/28.27 (step @p120 :rule bool-double-not-elim :args (@t37)) % 28.03/28.27 (step @p121 :rule cong :premises (@p120) :args (@t124)) % 28.03/28.27 (step @p122 :rule cong :premises (@p121) :args (@t125)) % 28.03/28.27 (step @p123 :rule exists-elim :args ((= @t40 @t125))) % 28.03/28.27 (step @p124 :rule trans :premises (@p123 @p122)) % 28.03/28.27 (step @p125 :rule refl :args (@t41)) % 28.03/28.27 (step @p126 :rule bool-double-not-elim :args (@t28)) % 28.03/28.27 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t29) @t41))) % 28.03/28.27 (step @p128 :rule bool-and-de-morgan :args (@t29 @t30 true)) % 28.03/28.27 (step @p129 :rule trans :premises (@p128 @p127)) % 28.03/28.27 (step @p130 :rule cong :premises (@p129) :args (@t126)) % 28.03/28.27 (step @p131 :rule cong :premises (@p130) :args (@t127)) % 28.03/28.27 (step @p132 :rule exists-elim :args ((= @t63 @t127))) % 28.03/28.27 (step @p133 :rule trans :premises (@p132 @p131)) % 28.03/28.27 (step @p134 :rule bool-impl-elim :args (@t21 @t4)) % 28.03/28.27 (step @p135 :rule cong :premises (@p134) :args (@t33)) % 28.03/28.27 (step @p136 :rule nary_cong :premises (@p59 @p135 @p133 @p124) :args (@t64)) % 28.03/28.27 (step @p137 :rule cong :premises (@p136) :args (@t65)) % 28.03/28.27 (step @p138 :rule trans :premises (@p137 @p119)) % 28.03/28.27 (step @p139 :rule eq_resolve :premises (@p31 @p138)) % 28.03/28.27 (step @p140 :rule skolemize :premises (@p139)) % 28.03/28.27 (step @p141 :rule bool-double-not-elim :args (@t129)) % 28.03/28.27 (step @p142 :rule refl :args (@t134)) % 28.03/28.27 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t134 (not @t133)))) % 28.03/28.27 (step @p144 :rule cnf_or_neg :args (@t134 0)) % 28.03/28.27 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 28.03/28.27 (step @p146 :rule reordering :premises (@p145) :args ((or @t129 @t134))) % 28.03/28.27 (step @p147 :rule chain_m_resolution :premises (@p146 @p140) :args (@t129 @t135 (@list @t134))) % 28.03/28.27 (assume-push @p201 @t136) % 28.03/28.27 (step @p149 :rule instantiate :premises (@p201) :args ((@list @t128))) % 28.03/28.27 (step-pop @p202 :rule scope :premises (@p149)) % 28.03/28.27 (step @p150 :rule process_scope :premises (@p202) :args (@t133)) % 28.03/28.27 (step @p152 :rule implies_elim :premises (@p150)) % 28.03/28.27 (step @p153 :rule reordering :premises (@p152) :args ((or @t133 @t137))) % 28.03/28.27 (step @p154 :rule chain_m_resolution :premises (@p153 @p147) :args (@t137 @t103 (@list @t129))) % 28.03/28.27 (step @p155 :rule alpha_equiv :args (@t136 (@list @t3) @t111)) % 28.03/28.27 (step @p156 :rule equiv_elim2 :premises (@p155)) % 28.03/28.27 (step @p157 :rule chain_m_resolution :premises (@p156 @p154) :args (@t95 @t135 (@list @t136))) % 28.03/28.27 (step @p158 :rule bool-double-not-elim :args (@t94)) % 28.03/28.27 (step @p159 :rule refl :args (@t138)) % 28.03/28.27 (step @p160 :rule nary_cong :premises (@p159 @p158 @p74) :args ((or @t138 (not @t95) @t91))) % 28.03/28.27 (step @p161 :rule cnf_equiv_pos1 :args (@t102)) % 28.03/28.27 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 28.03/28.27 (step @p163 :rule reordering :premises (@p162) :args ((or @t94 @t91 @t138))) % 28.03/28.27 (step @p164 :rule chain_m_resolution :premises (@p163 @p157 @p85) :args (@t91 @t73 (@list @t94 @t102))) % 28.03/28.27 (step @p165 :rule eq-symm :args (@t139 @t16)) % 28.03/28.27 (step @p166 :rule refl :args (@t16)) % 28.03/28.27 (step @p167 :rule bool-impl-elim :args (@t8 @t13)) % 28.03/28.27 (step @p168 :rule cong :premises (@p167) :args (@t17)) % 28.03/28.27 (step @p169 :rule cong :premises (@p168 @p166) :args (@t18)) % 28.03/28.27 (step @p170 :rule trans :premises (@p169 @p165)) % 28.03/28.27 (step @p171 :rule cong :premises (@p170) :args (@t19)) % 28.03/28.27 (step @p172 :rule eq_resolve :premises (@p5 @p171)) % 28.03/28.27 (step @p173 :rule bool-eq-true :args (@t140)) % 28.03/28.27 (step @p174 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 28.03/28.27 (step @p175 :rule bool-or-taut2 :args (false @t92 false false)) % 28.03/28.27 (step @p176 :rule cong :premises (@p175) :args (@t141)) % 28.03/28.27 (step @p177 :rule trans :premises (@p176 @p174)) % 28.03/28.27 (step @p178 :rule refl :args (@t140)) % 28.03/28.27 (step @p179 :rule cong :premises (@p178 @p177) :args (@t142)) % 28.03/28.27 (step @p180 :rule trans :premises (@p179 @p173)) % 28.03/28.27 (step @p181 :rule refl :args (@t143)) % 28.03/28.27 (step @p182 :rule cong :premises (@p181 @p180) :args ((=> @t143 @t142))) % 28.03/28.27 (assume-push @p203 @t143) % 28.03/28.27 (step @p184 :rule instantiate :premises (@p172) :args (@t101)) % 28.03/28.27 (step-pop @p204 :rule scope :premises (@p184)) % 28.03/28.27 (step @p185 :rule process_scope :premises (@p204) :args (@t142)) % 28.03/28.27 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 28.03/28.27 (step @p188 :rule implies_elim :premises (@p187)) % 28.03/28.27 (step @p189 :rule chain_m_resolution :premises (@p188 @p172) :args (@t140 @t103 (@list @t143))) % 28.03/28.27 (step @p190 :rule cnf_or_pos :args (@t146)) % 28.03/28.27 (step @p191 :rule reordering :premises (@p190) :args ((or @t144 @t145 @t147))) % 28.03/28.27 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p164) :args (@t147 (@list false false) (@list @t140 @t91))) % 28.03/28.27 (assume-push @p205 @t69) % 28.03/28.27 (step @p194 :rule instantiate :premises (@p54) :args (@t101)) % 28.03/28.27 (step-pop @p206 :rule scope :premises (@p194)) % 28.03/28.27 (step @p195 :rule process_scope :premises (@p206) :args (@t146)) % 28.03/28.27 (step @p197 :rule implies_elim :premises (@p195)) % 28.03/28.27 (step @p198 false :rule chain_m_resolution :premises (@p197 @p192 @p54) :args (false @t73 (@list @t146 @t69))) % 28.03/28.27 ) % 28.03/28.27 % SZS output end Proof % 28.03/28.27 % cvc5 exiting %------------------------------------------------------------------------------