%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS266+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:29:12 AM UTC 2026 % Result : Theorem 29.62s 29.87s % Output : Proof 29.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : KRS266+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n010.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 05:37:25 EDT 2026 % 0.16/0.33 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 29.62/29.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 29.62/29.87 --- Run --no-e-matching --full-saturate-quant at 6... % 29.62/29.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 29.62/29.87 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 29.62/29.87 % SZS status Theorem % 29.62/29.87 % SZS output start Proof % 29.62/29.87 ( % 29.62/29.87 (declare-sort $$unsorted 0) % 29.62/29.87 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 29.62/29.87 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 29.62/29.87 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 29.62/29.87 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 29.62/29.87 (declare-const tptp.noc $$unsorted) % 29.62/29.87 (declare-const tptp.uns $$unsorted) % 29.62/29.87 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 29.62/29.87 (declare-const tptp.tca $$unsorted) % 29.62/29.87 (declare-const tptp.sca $$unsorted) % 29.62/29.87 (declare-const tptp.wth $$unsorted) % 29.62/29.87 (declare-const tptp.unp $$unsorted) % 29.62/29.87 (declare-const tptp.wca $$unsorted) % 29.62/29.87 (declare-const tptp.wec $$unsorted) % 29.62/29.87 (declare-const tptp.sap $$unsorted) % 29.62/29.87 (declare-const tptp.wtc $$unsorted) % 29.62/29.87 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 29.62/29.87 (declare-const tptp.sat $$unsorted) % 29.62/29.87 (declare-const tptp.cax $$unsorted) % 29.62/29.87 (declare-const tptp.eqv $$unsorted) % 29.62/29.87 (declare-const tptp.esa $$unsorted) % 29.62/29.87 (declare-const tptp.csa $$unsorted) % 29.62/29.87 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.62/29.87 (declare-const tptp.thm $$unsorted) % 29.62/29.87 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 29.62/29.87 (declare-const tptp.eth $$unsorted) % 29.62/29.87 (declare-const tptp.tac $$unsorted) % 29.62/29.87 (declare-const tptp.tau $$unsorted) % 29.62/29.87 (define @t1 () (@var "C" $$unsorted)) % 29.62/29.87 (define @t2 () (@var "Ax" $$unsorted)) % 29.62/29.87 (define @t3 () (@var "I2" $$unsorted)) % 29.62/29.87 (define @t4 () (tptp.model @t3 @t1)) % 29.62/29.87 (define @t5 () (@list @t3)) % 29.62/29.87 (define @t6 () (exists @t5 @t4)) % 29.62/29.87 (define @t7 () (@var "I1" $$unsorted)) % 29.62/29.87 (define @t8 () (tptp.model @t7 @t2)) % 29.62/29.87 (define @t9 () (@list @t7)) % 29.62/29.87 (define @t10 () (exists @t9 @t8)) % 29.62/29.87 (define @t11 () (not @t10)) % 29.62/29.87 (define @t12 () (@list @t2 @t1)) % 29.62/29.87 (define @t13 () (tptp.model @t7 @t1)) % 29.62/29.87 (define @t14 () (and @t8 @t13)) % 29.62/29.87 (define @t15 () (exists @t9 @t14)) % 29.62/29.87 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 29.62/29.87 (define @t17 () (forall @t9 (=> @t8 @t13))) % 29.62/29.87 (define @t18 () (= @t17 @t16)) % 29.62/29.87 (define @t19 () (forall @t12 @t18)) % 29.62/29.87 (define @t20 () (tptp.model @t3 @t2)) % 29.62/29.87 (define @t21 () (forall @t5 @t4)) % 29.62/29.87 (define @t22 () (@var "I3" $$unsorted)) % 29.62/29.87 (define @t23 () (tptp.model @t22 @t2)) % 29.62/29.87 (define @t24 () (not @t23)) % 29.62/29.87 (define @t25 () (tptp.model @t22 @t1)) % 29.62/29.87 (define @t26 () (@list @t22)) % 29.62/29.87 (define @t27 () (exists @t26 (and @t25 @t24))) % 29.62/29.87 (define @t28 () (forall @t5 (=> @t20 @t4))) % 29.62/29.87 (define @t29 () (not @t20)) % 29.62/29.87 (define @t30 () (exists @t5 @t29)) % 29.62/29.87 (define @t31 () (@var "I4" $$unsorted)) % 29.62/29.87 (define @t32 () (exists (@list @t31) (not (tptp.model @t31 @t1)))) % 29.62/29.87 (define @t33 () (tptp.status @t2 @t1 tptp.sca)) % 29.62/29.87 (define @t34 () (and @t11 @t6)) % 29.62/29.87 (define @t35 () (= @t34 @t33)) % 29.62/29.87 (define @t36 () (forall @t12 @t35)) % 29.62/29.87 (define @t37 () (tptp.not @t1)) % 29.62/29.87 (define @t38 () (tptp.model @t3 @t37)) % 29.62/29.87 (define @t39 () (@var "S2" $$unsorted)) % 29.62/29.87 (define @t40 () (@var "S1" $$unsorted)) % 29.62/29.87 (define @t41 () (tptp.mighta @t40 @t39)) % 29.62/29.87 (define @t42 () (tptp.status @t2 @t1 @t39)) % 29.62/29.87 (define @t43 () (tptp.status @t2 @t1 @t40)) % 29.62/29.87 (define @t44 () (and @t43 @t42)) % 29.62/29.87 (define @t45 () (exists @t12 @t44)) % 29.62/29.87 (define @t46 () (= @t45 @t41)) % 29.62/29.87 (define @t47 () (@list @t40 @t39)) % 29.62/29.87 (define @t48 () (forall @t47 @t46)) % 29.62/29.87 (define @t49 () (not @t42)) % 29.62/29.87 (define @t50 () (@var "F" $$unsorted)) % 29.62/29.87 (define @t51 () (@var "I" $$unsorted)) % 29.62/29.87 (define @t52 () (tptp.model @t51 (tptp.not @t50))) % 29.62/29.87 (define @t53 () (tptp.model @t51 @t50)) % 29.62/29.87 (define @t54 () (@list @t51 @t50)) % 29.62/29.87 (define @t55 () (@list @t51)) % 29.62/29.87 (define @t56 () (forall @t55 @t53)) % 29.62/29.87 (define @t57 () (@list @t50)) % 29.62/29.87 (define @t58 () (exists @t57 @t56)) % 29.62/29.87 (define @t59 () (forall @t55 (not @t53))) % 29.62/29.87 (define @t60 () (exists @t57 @t59)) % 29.62/29.87 (define @t61 () (not @t4)) % 29.62/29.87 (define @t62 () (tptp.mighta tptp.sca tptp.thm)) % 29.62/29.87 (define @t63 () (forall @t12 (not @t44))) % 29.62/29.87 (define @t64 () (not @t63)) % 29.62/29.87 (define @t65 () (forall @t12 (or (not @t33) (not @t16)))) % 29.62/29.87 (define @t66 () (not @t65)) % 29.62/29.87 (define @t67 () (= @t62 @t66)) % 29.62/29.87 (define @t68 () (not @t67)) % 29.62/29.87 (define @t69 () (@list true false)) % 29.62/29.87 (define @t70 () (not (forall @t5 @t61))) % 29.62/29.87 (define @t71 () (not @t8)) % 29.62/29.87 (define @t72 () (forall @t9 @t71)) % 29.62/29.87 (define @t73 () (forall @t57 (not @t56))) % 29.62/29.87 (define @t74 () (@quantifiers_skolemize @t73 0)) % 29.62/29.87 (define @t75 () (@list tptp.thm @t74)) % 29.62/29.87 (define @t76 () (not @t73)) % 29.62/29.87 (define @t77 () (forall @t55 (tptp.model @t51 @t74))) % 29.62/29.87 (define @t78 () (not (not @t77))) % 29.62/29.87 (define @t79 () (@list true)) % 29.62/29.87 (define @t80 () (@list tptp.thm)) % 29.62/29.87 (define @t81 () (tptp.model @t7 @t74)) % 29.62/29.87 (define @t82 () (forall @t9 (not @t81))) % 29.62/29.87 (define @t83 () (tptp.model tptp.thm @t74)) % 29.62/29.87 (define @t84 () (not @t83)) % 29.62/29.87 (define @t85 () (not @t82)) % 29.62/29.87 (define @t86 () (@list false)) % 29.62/29.87 (define @t87 () (@list @t7)) % 29.62/29.87 (define @t88 () (@list @t3)) % 29.62/29.87 (define @t89 () (forall @t5 (not (tptp.model @t3 @t74)))) % 29.62/29.87 (define @t90 () (not @t89)) % 29.62/29.87 (define @t91 () (forall @t57 (not @t59))) % 29.62/29.87 (define @t92 () (@quantifiers_skolemize @t91 0)) % 29.62/29.87 (define @t93 () (@list @t92 tptp.thm)) % 29.62/29.87 (define @t94 () (not @t91)) % 29.62/29.87 (define @t95 () (forall @t55 (not (tptp.model @t51 @t92)))) % 29.62/29.87 (define @t96 () (not (not @t95))) % 29.62/29.87 (define @t97 () (tptp.model @t7 tptp.thm)) % 29.62/29.87 (define @t98 () (not (tptp.model @t7 @t92))) % 29.62/29.87 (define @t99 () (forall @t9 (or @t98 @t97))) % 29.62/29.87 (define @t100 () (@quantifiers_skolemize @t99 0)) % 29.62/29.87 (define @t101 () (tptp.model @t100 @t92)) % 29.62/29.87 (define @t102 () (not @t101)) % 29.62/29.87 (define @t103 () (or @t102 (tptp.model @t100 tptp.thm))) % 29.62/29.87 (define @t104 () (not @t103)) % 29.62/29.87 (define @t105 () (not @t99)) % 29.62/29.87 (define @t106 () (tptp.status @t92 tptp.thm tptp.thm)) % 29.62/29.87 (define @t107 () (= @t106 @t99)) % 29.62/29.87 (define @t108 () (@list false false)) % 29.62/29.87 (define @t109 () (not @t106)) % 29.62/29.87 (define @t110 () (tptp.status @t92 tptp.thm tptp.sca)) % 29.62/29.87 (define @t111 () (not @t110)) % 29.62/29.87 (define @t112 () (or @t111 @t109)) % 29.62/29.87 (define @t113 () (forall @t5 (not (tptp.model @t3 tptp.thm)))) % 29.62/29.87 (define @t114 () (not @t113)) % 29.62/29.87 (define @t115 () (forall @t9 @t98)) % 29.62/29.87 (define @t116 () (and @t115 @t114)) % 29.62/29.87 (define @t117 () (= @t110 @t116)) % 29.62/29.87 (define @t118 () (not @t116)) % 29.62/29.87 (define @t119 () (not @t115)) % 29.62/29.87 (define @t120 () (@list false true)) % 29.62/29.87 (define @t121 () (not @t97)) % 29.62/29.87 (define @t122 () (forall @t9 @t121)) % 29.62/29.87 (define @t123 () (not @t122)) % 29.62/29.87 (define @t124 () (and @t122 @t90)) % 29.62/29.87 (define @t125 () (tptp.status tptp.thm @t74 tptp.sca)) % 29.62/29.87 (define @t126 () (= @t125 @t124)) % 29.62/29.87 (define @t127 () (forall @t9 (or @t121 @t81))) % 29.62/29.87 (define @t128 () (@quantifiers_skolemize @t127 0)) % 29.62/29.87 (define @t129 () (tptp.model @t128 @t74)) % 29.62/29.87 (define @t130 () (or (not (tptp.model @t128 tptp.thm)) @t129)) % 29.62/29.87 (define @t131 () (not @t130)) % 29.62/29.87 (define @t132 () (not @t127)) % 29.62/29.87 (define @t133 () (tptp.status tptp.thm @t74 tptp.thm)) % 29.62/29.87 (define @t134 () (= @t133 @t127)) % 29.62/29.87 (define @t135 () (not @t133)) % 29.62/29.87 (define @t136 () (not @t125)) % 29.62/29.87 (define @t137 () (or @t136 @t135)) % 29.62/29.87 (define @t138 () (not @t137)) % 29.62/29.87 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 29.62/29.87 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 29.62/29.87 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 29.62/29.87 (assume @p4 (forall @t12 (= @t15 (tptp.status @t2 @t1 tptp.sat)))) % 29.62/29.87 (assume @p5 @t19) % 29.62/29.87 (assume @p6 (forall @t12 (= (and @t10 (forall @t5 (= @t20 @t4))) (tptp.status @t2 @t1 tptp.eqv)))) % 29.62/29.87 (assume @p7 (forall @t12 (= (and @t10 @t21) (tptp.status @t2 @t1 tptp.tac)))) % 29.62/29.87 (assume @p8 (forall @t12 (= (and @t10 @t28 @t27) (tptp.status @t2 @t1 tptp.wec)))) % 29.62/29.87 (assume @p9 (forall @t12 (= (and @t10 @t30 (forall @t26 (= @t23 @t25))) (tptp.status @t2 @t1 tptp.eth)))) % 29.62/29.87 (assume @p10 (forall @t12 (= (forall @t9 @t14) (tptp.status @t2 @t1 tptp.tau)))) % 29.62/29.87 (assume @p11 (forall @t12 (= (and @t10 @t30 (forall @t26 @t25)) (tptp.status @t2 @t1 tptp.wtc)))) % 29.62/29.87 (assume @p12 (forall @t12 (= (and @t10 @t28 @t27 @t32) (tptp.status @t2 @t1 tptp.wth)))) % 29.62/29.87 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 29.62/29.87 (assume @p14 @t36) % 29.62/29.87 (assume @p15 (forall @t12 (= (and @t11 @t21) (tptp.status @t2 @t1 tptp.tca)))) % 29.62/29.87 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t26 (not @t25))) (tptp.status @t2 @t1 tptp.wca)))) % 29.62/29.87 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t37))) (tptp.status @t2 @t1 tptp.csa)))) % 29.62/29.87 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t38)) (tptp.status @t2 @t1 tptp.uns)))) % 29.62/29.87 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t20 @t38))) (tptp.status @t2 @t1 tptp.noc)))) % 29.62/29.87 (assume @p20 @t48) % 29.62/29.87 (assume @p21 (forall @t47 (= (forall @t12 (=> @t43 @t42)) (tptp.isa @t40 @t39)))) % 29.62/29.87 (assume @p22 (forall @t47 (= (exists @t12 (and @t43 @t49)) (tptp.nota @t40 @t39)))) % 29.62/29.87 (assume @p23 (forall @t47 (= (forall @t12 (=> @t43 @t49)) (tptp.nevera @t40 @t39)))) % 29.62/29.87 (assume @p24 (forall @t47 (= (forall @t12 (xor @t43 @t42)) (tptp.xora @t40 @t39)))) % 29.62/29.87 (assume @p25 (forall @t54 (xor @t53 @t52))) % 29.62/29.87 (assume @p26 (forall @t54 (= @t53 (not @t52)))) % 29.62/29.87 (assume @p27 @t58) % 29.62/29.87 (assume @p28 (exists @t57 (and (exists @t9 (tptp.model @t7 @t50)) (exists @t5 (not (tptp.model @t3 @t50)))))) % 29.62/29.87 (assume @p29 @t60) % 29.62/29.87 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t29 @t61))))) % 29.62/29.87 (assume @p31 (exists @t12 (and @t10 @t28 (exists @t26 (and @t24 @t25)) @t32))) % 29.62/29.87 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 29.62/29.87 (assume @p33 (not @t62)) % 29.62/29.87 (assume @p34 true) % 29.62/29.87 (step @p35 :rule eq-symm :args ((not (forall @t12 (or (not @t43) @t49))) @t41)) % 29.62/29.87 (step @p36 :rule refl :args (@t41)) % 29.62/29.87 (step @p37 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 29.62/29.87 (step @p38 :rule cong :premises (@p37) :args (@t63)) % 29.62/29.87 (step @p39 :rule cong :premises (@p38) :args (@t64)) % 29.62/29.87 (step @p40 :rule exists-elim :args ((= @t45 @t64))) % 29.62/29.87 (step @p41 :rule trans :premises (@p40 @p39)) % 29.62/29.87 (step @p42 :rule cong :premises (@p41 @p36) :args (@t46)) % 29.62/29.87 (step @p43 :rule trans :premises (@p42 @p35)) % 29.62/29.87 (step @p44 :rule cong :premises (@p43) :args (@t48)) % 29.62/29.87 (step @p45 :rule eq_resolve :premises (@p20 @p44)) % 29.62/29.87 (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.sca tptp.thm))) % 29.62/29.87 (step @p47 :rule bool-double-not-elim :args (@t65)) % 29.62/29.87 (step @p48 :rule refl :args (@t62)) % 29.62/29.87 (step @p49 :rule refl :args (@t68)) % 29.62/29.87 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args ((or @t68 @t62 (not @t66)))) % 29.62/29.87 (step @p51 :rule cnf_equiv_pos2 :args (@t67)) % 29.62/29.87 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 29.62/29.87 (step @p53 :rule reordering :premises (@p52) :args ((or @t62 @t65 @t68))) % 29.62/29.87 (step @p54 :rule chain_m_resolution :premises (@p53 @p33 @p46) :args (@t65 @t69 (@list @t62 @t67))) % 29.62/29.87 (step @p55 :rule eq-symm :args ((and @t72 @t70) @t33)) % 29.62/29.87 (step @p56 :rule refl :args (@t33)) % 29.62/29.87 (step @p57 :rule exists-elim :args ((= @t6 @t70))) % 29.62/29.87 (step @p58 :rule bool-double-not-elim :args (@t72)) % 29.62/29.87 (step @p59 :rule exists-elim :args ((= @t10 (not @t72)))) % 29.62/29.87 (step @p60 :rule cong :premises (@p59) :args (@t11)) % 29.62/29.87 (step @p61 :rule trans :premises (@p60 @p58)) % 29.62/29.87 (step @p62 :rule nary_cong :premises (@p61 @p57) :args (@t34)) % 29.62/29.87 (step @p63 :rule cong :premises (@p62 @p56) :args (@t35)) % 29.62/29.87 (step @p64 :rule trans :premises (@p63 @p55)) % 29.62/29.87 (step @p65 :rule cong :premises (@p64) :args (@t36)) % 29.62/29.87 (step @p66 :rule eq_resolve :premises (@p14 @p65)) % 29.62/29.87 (step @p67 :rule instantiate :premises (@p66) :args (@t75)) % 29.62/29.87 (step @p68 :rule exists-elim :args ((= @t58 @t76))) % 29.62/29.87 (step @p69 :rule eq_resolve :premises (@p27 @p68)) % 29.62/29.87 (step @p70 :rule refl :args (@t77)) % 29.62/29.87 (step @p71 :rule bool-double-not-elim :args (@t73)) % 29.62/29.87 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t76) @t77))) % 29.62/29.87 (step @p73 :rule bool-double-not-elim :args (@t77)) % 29.62/29.87 (step @p74 :rule refl :args (@t76)) % 29.62/29.87 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t76 @t78))) % 29.62/29.87 (assume-push @p200 @t76) % 29.62/29.87 (step @p77 :rule skolemize :premises (@p69)) % 29.62/29.87 (step-pop @p201 :rule scope :premises (@p77)) % 29.62/29.87 (step @p78 :rule process_scope :premises (@p201) :args (@t78)) % 29.62/29.87 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 29.62/29.87 (step @p81 :rule implies_elim :premises (@p80)) % 29.62/29.87 (step @p82 :rule eq_resolve :premises (@p81 @p72)) % 29.62/29.87 (step @p83 :rule chain_m_resolution :premises (@p82 @p69) :args (@t77 @t79 (@list @t73))) % 29.62/29.87 (step @p84 :rule instantiate :premises (@p83) :args (@t80)) % 29.62/29.87 (assume-push @p202 @t82) % 29.62/29.87 (step @p86 :rule instantiate :premises (@p202) :args (@t80)) % 29.62/29.87 (step-pop @p203 :rule scope :premises (@p86)) % 29.62/29.87 (step @p87 :rule process_scope :premises (@p203) :args (@t84)) % 29.62/29.87 (step @p89 :rule implies_elim :premises (@p87)) % 29.62/29.87 (step @p90 :rule reordering :premises (@p89) :args ((or @t84 @t85))) % 29.62/29.87 (step @p91 :rule chain_m_resolution :premises (@p90 @p84) :args (@t85 @t86 (@list @t83))) % 29.62/29.87 (step @p92 :rule alpha_equiv :args (@t82 @t87 @t88)) % 29.62/29.87 (step @p93 :rule equiv_elim2 :premises (@p92)) % 29.62/29.87 (step @p94 :rule chain_m_resolution :premises (@p93 @p91) :args (@t90 @t79 (@list @t82))) % 29.62/29.87 (step @p95 :rule instantiate :premises (@p66) :args (@t93)) % 29.62/29.87 (step @p96 :rule instantiate :premises (@p54) :args (@t93)) % 29.62/29.87 (step @p97 :rule eq-symm :args ((forall @t9 (or @t71 @t13)) @t16)) % 29.62/29.87 (step @p98 :rule refl :args (@t16)) % 29.62/29.87 (step @p99 :rule bool-impl-elim :args (@t8 @t13)) % 29.62/29.87 (step @p100 :rule cong :premises (@p99) :args (@t17)) % 29.62/29.87 (step @p101 :rule cong :premises (@p100 @p98) :args (@t18)) % 29.62/29.87 (step @p102 :rule trans :premises (@p101 @p97)) % 29.62/29.87 (step @p103 :rule cong :premises (@p102) :args (@t19)) % 29.62/29.87 (step @p104 :rule eq_resolve :premises (@p5 @p103)) % 29.62/29.87 (step @p105 :rule instantiate :premises (@p104) :args (@t93)) % 29.62/29.87 (step @p106 :rule exists-elim :args ((= @t60 @t94))) % 29.62/29.87 (step @p107 :rule eq_resolve :premises (@p29 @p106)) % 29.62/29.87 (step @p108 :rule refl :args (@t95)) % 29.62/29.87 (step @p109 :rule bool-double-not-elim :args (@t91)) % 29.62/29.87 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t94) @t95))) % 29.62/29.87 (step @p111 :rule bool-double-not-elim :args (@t95)) % 29.62/29.87 (step @p112 :rule refl :args (@t94)) % 29.62/29.87 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t94 @t96))) % 29.62/29.87 (assume-push @p204 @t94) % 29.62/29.87 (step @p115 :rule skolemize :premises (@p107)) % 29.62/29.87 (step-pop @p205 :rule scope :premises (@p115)) % 29.62/29.87 (step @p116 :rule process_scope :premises (@p205) :args (@t96)) % 29.62/29.87 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 29.62/29.87 (step @p119 :rule implies_elim :premises (@p118)) % 29.62/29.87 (step @p120 :rule eq_resolve :premises (@p119 @p110)) % 29.62/29.87 (step @p121 :rule chain_m_resolution :premises (@p120 @p107) :args (@t95 @t79 (@list @t91))) % 29.62/29.87 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t100))) % 29.62/29.87 (step @p123 :rule bool-double-not-elim :args (@t101)) % 29.62/29.87 (step @p124 :rule refl :args (@t103)) % 29.62/29.87 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t103 (not @t102)))) % 29.62/29.87 (step @p126 :rule cnf_or_neg :args (@t103 0)) % 29.62/29.87 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 29.62/29.87 (step @p128 :rule reordering :premises (@p127) :args ((or @t101 @t103))) % 29.62/29.87 (step @p129 :rule chain_m_resolution :premises (@p128 @p122) :args (@t103 @t79 (@list @t101))) % 29.62/29.87 (step @p130 :rule refl :args (@t104)) % 29.62/29.87 (step @p131 :rule bool-double-not-elim :args (@t99)) % 29.62/29.87 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or (not @t105) @t104))) % 29.62/29.87 (assume-push @p206 @t105) % 29.62/29.87 (step @p134 :rule skolemize :premises (@p206)) % 29.62/29.87 (step-pop @p207 :rule scope :premises (@p134)) % 29.62/29.87 (step @p135 :rule process_scope :premises (@p207) :args (@t104)) % 29.62/29.87 (step @p137 :rule implies_elim :premises (@p135)) % 29.62/29.87 (step @p138 :rule eq_resolve :premises (@p137 @p132)) % 29.62/29.87 (step @p139 :rule chain_m_resolution :premises (@p138 @p129) :args (@t99 @t86 (@list @t103))) % 29.62/29.87 (step @p140 :rule cnf_equiv_pos2 :args (@t107)) % 29.62/29.87 (step @p141 :rule reordering :premises (@p140) :args ((or @t106 @t105 (not @t107)))) % 29.62/29.87 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p105) :args (@t106 @t108 (@list @t99 @t107))) % 29.62/29.87 (step @p143 :rule cnf_or_pos :args (@t112)) % 29.62/29.87 (step @p144 :rule reordering :premises (@p143) :args ((or @t109 @t111 (not @t112)))) % 29.62/29.87 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p96) :args (@t111 @t108 (@list @t106 @t112))) % 29.62/29.87 (step @p146 :rule cnf_equiv_pos2 :args (@t117)) % 29.62/29.87 (step @p147 :rule reordering :premises (@p146) :args ((or @t110 @t118 (not @t117)))) % 29.62/29.87 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p95) :args (@t118 @t69 (@list @t110 @t117))) % 29.62/29.87 (step @p149 :rule alpha_equiv :args (@t95 (@list @t51) @t87)) % 29.62/29.87 (step @p150 :rule equiv_elim1 :premises (@p149)) % 29.62/29.87 (step @p151 :rule chain_m_resolution :premises (@p150 @p121) :args (@t115 @t86 (@list @t95))) % 29.62/29.87 (step @p152 :rule bool-double-not-elim :args (@t113)) % 29.62/29.87 (step @p153 :rule refl :args (@t119)) % 29.62/29.87 (step @p154 :rule refl :args (@t116)) % 29.62/29.87 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args ((or @t116 @t119 (not @t114)))) % 29.62/29.87 (step @p156 :rule cnf_and_neg :args (@t116)) % 29.62/29.87 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 29.62/29.87 (step @p158 :rule reordering :premises (@p157) :args ((or @t113 @t119 @t116))) % 29.62/29.87 (step @p159 :rule chain_m_resolution :premises (@p158 @p151 @p148) :args (@t113 @t120 (@list @t115 @t116))) % 29.62/29.87 (step @p160 :rule alpha_equiv :args (@t122 @t87 @t88)) % 29.62/29.87 (step @p161 :rule equiv_elim2 :premises (@p160)) % 29.62/29.87 (step @p162 :rule chain_m_resolution :premises (@p161 @p159) :args (@t122 @t86 (@list @t113))) % 29.62/29.87 (step @p163 :rule bool-double-not-elim :args (@t89)) % 29.62/29.87 (step @p164 :rule refl :args (@t123)) % 29.62/29.87 (step @p165 :rule refl :args (@t124)) % 29.62/29.87 (step @p166 :rule nary_cong :premises (@p165 @p164 @p163) :args ((or @t124 @t123 (not @t90)))) % 29.62/29.87 (step @p167 :rule cnf_and_neg :args (@t124)) % 29.62/29.87 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 29.62/29.87 (step @p169 :rule reordering :premises (@p168) :args ((or @t123 @t89 @t124))) % 29.62/29.87 (step @p170 :rule chain_m_resolution :premises (@p169 @p162 @p94) :args (@t124 @t120 (@list @t122 @t89))) % 29.62/29.87 (step @p171 :rule cnf_equiv_pos2 :args (@t126)) % 29.62/29.87 (step @p172 :rule reordering :premises (@p171) :args ((or @t125 (not @t124) (not @t126)))) % 29.62/29.87 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p67) :args (@t125 @t108 (@list @t124 @t126))) % 29.62/29.87 (step @p174 :rule instantiate :premises (@p104) :args (@t75)) % 29.62/29.87 (step @p175 :rule instantiate :premises (@p83) :args ((@list @t128))) % 29.62/29.87 (step @p176 :rule cnf_or_neg :args (@t130 1)) % 29.62/29.87 (step @p177 :rule chain_m_resolution :premises (@p176 @p175) :args (@t130 @t86 (@list @t129))) % 29.62/29.87 (step @p178 :rule refl :args (@t131)) % 29.62/29.87 (step @p179 :rule bool-double-not-elim :args (@t127)) % 29.62/29.87 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or (not @t132) @t131))) % 29.62/29.87 (assume-push @p208 @t132) % 29.62/29.87 (step @p182 :rule skolemize :premises (@p208)) % 29.62/29.87 (step-pop @p209 :rule scope :premises (@p182)) % 29.62/29.87 (step @p183 :rule process_scope :premises (@p209) :args (@t131)) % 29.62/29.87 (step @p185 :rule implies_elim :premises (@p183)) % 29.62/29.87 (step @p186 :rule eq_resolve :premises (@p185 @p180)) % 29.62/29.87 (step @p187 :rule chain_m_resolution :premises (@p186 @p177) :args (@t127 @t86 (@list @t130))) % 29.62/29.87 (step @p188 :rule cnf_equiv_pos2 :args (@t134)) % 29.62/29.87 (step @p189 :rule reordering :premises (@p188) :args ((or @t133 @t132 (not @t134)))) % 29.62/29.87 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p174) :args (@t133 @t108 (@list @t127 @t134))) % 29.62/29.87 (step @p191 :rule cnf_or_pos :args (@t137)) % 29.62/29.87 (step @p192 :rule reordering :premises (@p191) :args ((or @t135 @t136 @t138))) % 29.62/29.87 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p173) :args (@t138 @t108 (@list @t133 @t125))) % 29.62/29.87 (assume-push @p210 @t65) % 29.62/29.87 (step @p195 :rule instantiate :premises (@p54) :args (@t75)) % 29.62/29.87 (step-pop @p211 :rule scope :premises (@p195)) % 29.62/29.87 (step @p196 :rule process_scope :premises (@p211) :args (@t137)) % 29.62/29.87 (step @p198 :rule implies_elim :premises (@p196)) % 29.62/29.87 (step @p199 false :rule chain_m_resolution :premises (@p198 @p193 @p54) :args (false @t69 (@list @t137 @t65))) % 29.62/29.87 ) % 29.62/29.87 % SZS output end Proof % 29.62/29.87 % cvc5 exiting %------------------------------------------------------------------------------