%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE009+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:28:03 AM UTC 2026 % Result : Theorem 0.95s 1.14s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE009+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:09:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.95/1.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.14 % SZS status Theorem % 0.95/1.14 % SZS output start Proof % 0.95/1.14 ( % 0.95/1.14 (declare-sort $$unsorted 0) % 0.95/1.14 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.test (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.zero $$unsorted) % 0.95/1.14 (declare-const tptp.one $$unsorted) % 0.95/1.14 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (define @t1 () (@var "A" $$unsorted)) % 0.95/1.14 (define @t2 () (@var "B" $$unsorted)) % 0.95/1.14 (define @t3 () (tptp.addition @t1 @t2)) % 0.95/1.14 (define @t4 () (@list @t1 @t2)) % 0.95/1.14 (define @t5 () (@var "C" $$unsorted)) % 0.95/1.14 (define @t6 () (tptp.addition @t2 @t5)) % 0.95/1.14 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.95/1.14 (define @t8 () (@list @t1)) % 0.95/1.14 (define @t9 () (tptp.addition @t1 @t1)) % 0.95/1.14 (define @t10 () (forall @t8 (= @t9 @t1))) % 0.95/1.14 (define @t11 () (tptp.multiplication @t1 @t2)) % 0.95/1.14 (define @t12 () (tptp.multiplication @t2 @t5)) % 0.95/1.14 (define @t13 () (@list @t1 @t2 @t5)) % 0.95/1.14 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 0.95/1.14 (define @t15 () (forall @t8 (= @t14 @t1))) % 0.95/1.14 (define @t16 () (tptp.multiplication @t1 @t5)) % 0.95/1.14 (define @t17 () (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t16)))) % 0.95/1.14 (define @t18 () (@var "X0" $$unsorted)) % 0.95/1.14 (define @t19 () (@var "X1" $$unsorted)) % 0.95/1.14 (define @t20 () (tptp.complement @t19 @t18)) % 0.95/1.14 (define @t21 () (@list @t19)) % 0.95/1.14 (define @t22 () (exists @t21 @t20)) % 0.95/1.14 (define @t23 () (tptp.test @t18)) % 0.95/1.14 (define @t24 () (= @t23 @t22)) % 0.95/1.14 (define @t25 () (@list @t18)) % 0.95/1.14 (define @t26 () (forall @t25 @t24)) % 0.95/1.14 (define @t27 () (tptp.addition @t18 @t19)) % 0.95/1.14 (define @t28 () (tptp.multiplication @t19 @t18)) % 0.95/1.14 (define @t29 () (tptp.multiplication @t18 @t19)) % 0.95/1.14 (define @t30 () (and (= @t29 tptp.zero) (= @t28 tptp.zero) (= @t27 tptp.one))) % 0.95/1.14 (define @t31 () (= @t20 @t30)) % 0.95/1.14 (define @t32 () (@list @t18 @t19)) % 0.95/1.14 (define @t33 () (forall @t32 @t31)) % 0.95/1.14 (define @t34 () (tptp.complement @t18 @t19)) % 0.95/1.14 (define @t35 () (tptp.c @t18)) % 0.95/1.14 (define @t36 () (= (= @t35 @t19) @t34)) % 0.95/1.14 (define @t37 () (=> @t23 @t36)) % 0.95/1.14 (define @t38 () (forall @t32 @t37)) % 0.95/1.14 (define @t39 () (not @t23)) % 0.95/1.14 (define @t40 () (tptp.c @t19)) % 0.95/1.14 (define @t41 () (tptp.multiplication @t35 @t40)) % 0.95/1.14 (define @t42 () (tptp.test @t19)) % 0.95/1.14 (define @t43 () (and @t23 @t42)) % 0.95/1.14 (define @t44 () (= tptp.one (tptp.addition (tptp.addition (tptp.addition @t29 (tptp.multiplication @t18 @t40)) (tptp.multiplication @t35 @t19)) @t41))) % 0.95/1.14 (define @t45 () (and @t42 @t23)) % 0.95/1.14 (define @t46 () (forall @t32 (=> @t45 @t44))) % 0.95/1.14 (define @t47 () (not @t46)) % 0.95/1.14 (define @t48 () (not @t42)) % 0.95/1.14 (define @t49 () (or @t48 @t39 @t44)) % 0.95/1.14 (define @t50 () (forall @t32 @t49)) % 0.95/1.14 (define @t51 () (@quantifiers_skolemize @t50 1)) % 0.95/1.14 (define @t52 () (tptp.c @t51)) % 0.95/1.14 (define @t53 () (@quantifiers_skolemize @t50 0)) % 0.95/1.14 (define @t54 () (tptp.c @t53)) % 0.95/1.14 (define @t55 () (tptp.multiplication @t54 @t52)) % 0.95/1.14 (define @t56 () (tptp.multiplication @t54 @t51)) % 0.95/1.14 (define @t57 () (tptp.addition (tptp.multiplication @t53 @t51) (tptp.multiplication @t53 @t52))) % 0.95/1.14 (define @t58 () (tptp.addition (tptp.addition @t57 @t56) @t55)) % 0.95/1.14 (define @t59 () (= tptp.one @t58)) % 0.95/1.14 (define @t60 () (tptp.test @t53)) % 0.95/1.14 (define @t61 () (not @t60)) % 0.95/1.14 (define @t62 () (tptp.test @t51)) % 0.95/1.14 (define @t63 () (not @t62)) % 0.95/1.14 (define @t64 () (or @t63 @t61 @t59)) % 0.95/1.14 (define @t65 () (not @t59)) % 0.95/1.14 (define @t66 () (@list true)) % 0.95/1.14 (define @t67 () (@list @t64)) % 0.95/1.14 (define @t68 () (tptp.addition @t56 @t55)) % 0.95/1.14 (define @t69 () (tptp.addition @t57 @t68)) % 0.95/1.14 (define @t70 () (= @t69 @t58)) % 0.95/1.14 (define @t71 () (@list @t55 @t56 @t57)) % 0.95/1.14 (define @t72 () (= @t58 @t69)) % 0.95/1.14 (define @t73 () (@list false)) % 0.95/1.14 (define @t74 () (tptp.addition @t51 @t52)) % 0.95/1.14 (define @t75 () (tptp.multiplication @t53 @t74)) % 0.95/1.14 (define @t76 () (= @t75 @t57)) % 0.95/1.14 (define @t77 () (@list @t53 @t51 @t52)) % 0.95/1.14 (define @t78 () (= @t57 @t75)) % 0.95/1.14 (define @t79 () (@list @t17)) % 0.95/1.14 (define @t80 () (tptp.multiplication @t54 @t74)) % 0.95/1.14 (define @t81 () (= @t80 @t68)) % 0.95/1.14 (define @t82 () (@list @t54 @t51 @t52)) % 0.95/1.14 (define @t83 () (= @t68 @t80)) % 0.95/1.14 (define @t84 () (forall @t21 (not (tptp.complement @t19 @t53)))) % 0.95/1.14 (define @t85 () (@quantifiers_skolemize @t84 0)) % 0.95/1.14 (define @t86 () (@list @t53 @t85)) % 0.95/1.14 (define @t87 () (not @t84)) % 0.95/1.14 (define @t88 () (= @t60 @t87)) % 0.95/1.14 (define @t89 () (@list false false)) % 0.95/1.14 (define @t90 () (tptp.complement @t85 @t53)) % 0.95/1.14 (define @t91 () (not @t90)) % 0.95/1.14 (define @t92 () (not @t91)) % 0.95/1.14 (define @t93 () (= tptp.one (tptp.addition @t53 @t85))) % 0.95/1.14 (define @t94 () (= tptp.zero (tptp.multiplication @t85 @t53))) % 0.95/1.14 (define @t95 () (= tptp.zero (tptp.multiplication @t53 @t85))) % 0.95/1.14 (define @t96 () (and @t95 @t94 @t93)) % 0.95/1.14 (define @t97 () (= @t90 @t96)) % 0.95/1.14 (define @t98 () (not @t96)) % 0.95/1.14 (define @t99 () (@list @t96)) % 0.95/1.14 (define @t100 () (forall @t21 (not (tptp.complement @t19 @t51)))) % 0.95/1.14 (define @t101 () (@quantifiers_skolemize @t100 0)) % 0.95/1.14 (define @t102 () (@list @t51 @t101)) % 0.95/1.14 (define @t103 () (@list @t51)) % 0.95/1.14 (define @t104 () (not @t100)) % 0.95/1.14 (define @t105 () (= @t62 @t104)) % 0.95/1.14 (define @t106 () (tptp.complement @t101 @t51)) % 0.95/1.14 (define @t107 () (not @t106)) % 0.95/1.14 (define @t108 () (not @t107)) % 0.95/1.14 (define @t109 () (tptp.addition @t51 @t101)) % 0.95/1.14 (define @t110 () (= tptp.one @t109)) % 0.95/1.14 (define @t111 () (= tptp.zero (tptp.multiplication @t101 @t51))) % 0.95/1.14 (define @t112 () (= tptp.zero (tptp.multiplication @t51 @t101))) % 0.95/1.14 (define @t113 () (and @t112 @t111 @t110)) % 0.95/1.14 (define @t114 () (= @t106 @t113)) % 0.95/1.14 (define @t115 () (not @t113)) % 0.95/1.14 (define @t116 () (@list @t113)) % 0.95/1.14 (define @t117 () (= @t19 @t35)) % 0.95/1.14 (define @t118 () (= @t34 @t117)) % 0.95/1.14 (define @t119 () (tptp.complement @t53 @t85)) % 0.95/1.14 (define @t120 () (= @t119 (= @t85 @t54))) % 0.95/1.14 (define @t121 () (or @t61 @t120)) % 0.95/1.14 (define @t122 () (forall @t32 (or @t39 @t118))) % 0.95/1.14 (define @t123 () (= @t54 @t85)) % 0.95/1.14 (define @t124 () (= @t119 @t123)) % 0.95/1.14 (define @t125 () (or @t61 @t124)) % 0.95/1.14 (define @t126 () (@list @t122)) % 0.95/1.14 (define @t127 () (= tptp.one (tptp.addition @t85 @t53))) % 0.95/1.14 (define @t128 () (and @t94 @t95 @t127)) % 0.95/1.14 (define @t129 () (@list false false false)) % 0.95/1.14 (define @t130 () (= @t119 @t128)) % 0.95/1.14 (define @t131 () (tptp.complement @t51 @t101)) % 0.95/1.14 (define @t132 () (= @t131 (= @t101 @t52))) % 0.95/1.14 (define @t133 () (or @t63 @t132)) % 0.95/1.14 (define @t134 () (= @t52 @t101)) % 0.95/1.14 (define @t135 () (= @t131 @t134)) % 0.95/1.14 (define @t136 () (or @t63 @t135)) % 0.95/1.14 (define @t137 () (tptp.addition @t101 @t51)) % 0.95/1.14 (define @t138 () (= tptp.one @t137)) % 0.95/1.14 (define @t139 () (and @t111 @t112 @t138)) % 0.95/1.14 (define @t140 () (= @t131 @t139)) % 0.95/1.14 (define @t141 () (tptp.addition @t54 @t53)) % 0.95/1.14 (define @t142 () (tptp.multiplication @t141 tptp.one)) % 0.95/1.14 (define @t143 () (= @t141 @t142)) % 0.95/1.14 (define @t144 () (not @t143)) % 0.95/1.14 (define @t145 () (not @t134)) % 0.95/1.14 (define @t146 () (not @t123)) % 0.95/1.14 (define @t147 () (tptp.addition @t51 @t51)) % 0.95/1.14 (define @t148 () (= @t51 @t147)) % 0.95/1.14 (define @t149 () (not @t148)) % 0.95/1.14 (define @t150 () (tptp.addition @t53 @t54)) % 0.95/1.14 (define @t151 () (= @t150 @t141)) % 0.95/1.14 (define @t152 () (not @t151)) % 0.95/1.14 (define @t153 () (tptp.addition @t75 @t80)) % 0.95/1.14 (define @t154 () (= (tptp.multiplication @t150 @t74) @t153)) % 0.95/1.14 (define @t155 () (not @t154)) % 0.95/1.14 (define @t156 () (= @t109 @t137)) % 0.95/1.14 (define @t157 () (not @t156)) % 0.95/1.14 (define @t158 () (not @t110)) % 0.95/1.14 (define @t159 () (not @t93)) % 0.95/1.14 (define @t160 () (not @t83)) % 0.95/1.14 (define @t161 () (not @t78)) % 0.95/1.14 (define @t162 () (not @t72)) % 0.95/1.14 (define @t163 () (tptp.addition @t147 @t101)) % 0.95/1.14 (define @t164 () (tptp.multiplication @t74 @t150)) % 0.95/1.14 (define @t165 () (and @t144 @t143)) % 0.95/1.14 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.95/1.14 (assume @p2 @t7) % 0.95/1.14 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.95/1.14 (assume @p4 @t10) % 0.95/1.14 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5)))) % 0.95/1.14 (assume @p6 @t15) % 0.95/1.14 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.95/1.14 (assume @p8 @t17) % 0.95/1.14 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t16 @t12)))) % 0.95/1.14 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.95/1.14 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.95/1.14 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.95/1.14 (assume @p13 @t26) % 0.95/1.14 (assume @p14 @t33) % 0.95/1.14 (assume @p15 @t38) % 0.95/1.14 (assume @p16 (forall @t25 (=> @t39 (= @t35 tptp.zero)))) % 0.95/1.14 (assume @p17 (forall @t32 (=> @t43 (= (tptp.c @t27) @t41)))) % 0.95/1.14 (assume @p18 (forall @t32 (=> @t43 (= (tptp.c @t29) (tptp.addition @t35 @t40))))) % 0.95/1.14 (assume @p19 @t47) % 0.95/1.14 (assume @p20 true) % 0.95/1.14 (step @p21 :rule aci_norm :args ((= (or (or @t48 @t39) @t44) @t49))) % 0.95/1.14 (step @p22 :rule refl :args (@t44)) % 0.95/1.14 (step @p23 :rule bool-and-de-morgan :args (@t42 @t23 true)) % 0.95/1.14 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t45) @t44))) % 0.95/1.14 (step @p25 :rule trans :premises (@p24 @p21)) % 0.95/1.14 (step @p26 :rule bool-impl-elim :args (@t45 @t44)) % 0.95/1.14 (step @p27 :rule trans :premises (@p26 @p25)) % 0.95/1.14 (step @p28 :rule cong :premises (@p27) :args (@t46)) % 0.95/1.14 (step @p29 :rule cong :premises (@p28) :args (@t47)) % 0.95/1.14 (step @p30 :rule eq_resolve :premises (@p19 @p29)) % 0.95/1.14 (step @p31 :rule skolemize :premises (@p30)) % 0.95/1.14 (step @p32 :rule cnf_or_neg :args (@t64 2)) % 0.95/1.14 (step @p33 :rule chain_m_resolution :premises (@p32 @p31) :args (@t65 @t66 @t67)) % 0.95/1.14 (step @p34 :rule eq-symm :args (@t69 @t58)) % 0.95/1.14 (step @p35 :rule refl :args (@t7)) % 0.95/1.14 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t7 @t70))) % 0.95/1.14 (assume-push @p315 @t7) % 0.95/1.14 (step @p38 :rule instantiate :premises (@p2) :args (@t71)) % 0.95/1.14 (step-pop @p316 :rule scope :premises (@p38)) % 0.95/1.14 (step @p39 :rule process_scope :premises (@p316) :args (@t70)) % 0.95/1.14 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.95/1.14 (step @p42 :rule implies_elim :premises (@p41)) % 0.95/1.14 (step @p43 :rule chain_m_resolution :premises (@p42 @p2) :args (@t72 @t73 (@list @t7))) % 0.95/1.14 (step @p44 :rule eq-symm :args (@t75 @t57)) % 0.95/1.14 (step @p45 :rule refl :args (@t17)) % 0.95/1.14 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t17 @t76))) % 0.95/1.14 (assume-push @p317 @t17) % 0.95/1.14 (step @p48 :rule instantiate :premises (@p8) :args (@t77)) % 0.95/1.14 (step-pop @p318 :rule scope :premises (@p48)) % 0.95/1.14 (step @p49 :rule process_scope :premises (@p318) :args (@t76)) % 0.95/1.14 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.95/1.14 (step @p52 :rule implies_elim :premises (@p51)) % 0.95/1.14 (step @p53 :rule chain_m_resolution :premises (@p52 @p8) :args (@t78 @t73 @t79)) % 0.95/1.14 (step @p54 :rule eq-symm :args (@t80 @t68)) % 0.95/1.14 (step @p55 :rule cong :premises (@p45 @p54) :args ((=> @t17 @t81))) % 0.95/1.14 (assume-push @p319 @t17) % 0.95/1.14 (step @p57 :rule instantiate :premises (@p8) :args (@t82)) % 0.95/1.14 (step-pop @p320 :rule scope :premises (@p57)) % 0.95/1.14 (step @p58 :rule process_scope :premises (@p320) :args (@t81)) % 0.95/1.14 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 0.95/1.14 (step @p61 :rule implies_elim :premises (@p60)) % 0.95/1.14 (step @p62 :rule chain_m_resolution :premises (@p61 @p8) :args (@t83 @t73 @t79)) % 0.95/1.14 (step @p63 :rule eq-symm :args (@t27 tptp.one)) % 0.95/1.14 (step @p64 :rule eq-symm :args (@t28 tptp.zero)) % 0.95/1.14 (step @p65 :rule eq-symm :args (@t29 tptp.zero)) % 0.95/1.14 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t30)) % 0.95/1.14 (step @p67 :rule refl :args (@t20)) % 0.95/1.14 (step @p68 :rule cong :premises (@p67 @p66) :args (@t31)) % 0.95/1.14 (step @p69 :rule cong :premises (@p68) :args (@t33)) % 0.95/1.14 (step @p70 :rule eq_resolve :premises (@p14 @p69)) % 0.95/1.14 (step @p71 :rule instantiate :premises (@p70) :args (@t86)) % 0.95/1.14 (step @p72 :rule exists-elim :args ((= @t22 (not (forall @t21 (not @t20)))))) % 0.95/1.14 (step @p73 :rule refl :args (@t23)) % 0.95/1.14 (step @p74 :rule cong :premises (@p73 @p72) :args (@t24)) % 0.95/1.14 (step @p75 :rule cong :premises (@p74) :args (@t26)) % 0.95/1.14 (step @p76 :rule eq_resolve :premises (@p13 @p75)) % 0.95/1.14 (step @p77 :rule instantiate :premises (@p76) :args ((@list @t53))) % 0.95/1.14 (step @p78 :rule bool-double-not-elim :args (@t60)) % 0.95/1.14 (step @p79 :rule refl :args (@t64)) % 0.95/1.14 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t64 (not @t61)))) % 0.95/1.14 (step @p81 :rule cnf_or_neg :args (@t64 1)) % 0.95/1.14 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.95/1.14 (step @p83 :rule reordering :premises (@p82) :args ((or @t60 @t64))) % 0.95/1.14 (step @p84 :rule chain_m_resolution :premises (@p83 @p31) :args (@t60 @t66 @t67)) % 0.95/1.14 (step @p85 :rule cnf_equiv_pos1 :args (@t88)) % 0.95/1.14 (step @p86 :rule reordering :premises (@p85) :args ((or @t61 @t87 (not @t88)))) % 0.95/1.14 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p77) :args (@t87 @t89 (@list @t60 @t88))) % 0.95/1.14 (step @p88 :rule refl :args (@t90)) % 0.95/1.14 (step @p89 :rule bool-double-not-elim :args (@t84)) % 0.95/1.14 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t87) @t90))) % 0.95/1.14 (step @p91 :rule bool-double-not-elim :args (@t90)) % 0.95/1.14 (step @p92 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(assume-push @p338 @t110) % 0.95/1.14 (assume-push @p339 @t156) % 0.95/1.14 (assume-push @p340 @t154) % 0.95/1.14 (assume-push @p341 @t151) % 0.95/1.14 (assume-push @p342 @t148) % 0.95/1.14 (assume-push @p343 @t123) % 0.95/1.14 (assume-push @p344 @t134) % 0.95/1.14 (assume-push @p345 @t143) % 0.95/1.14 (step @p247 :rule false_intro :premises (@p33)) % 0.95/1.14 (step @p38 :rule instantiate :premises (@p2) :args (@t71)) % 0.95/1.14 (step @p57 :rule instantiate :premises (@p8) :args (@t82)) % 0.95/1.14 (step @p48 :rule instantiate :premises (@p8) :args (@t77)) % 0.95/1.14 (step @p248 :rule cong :premises (@p48 @p57) :args (@t153)) % 0.95/1.14 (step @p249 :rule symm :premises (@p224)) % 0.95/1.14 (step @p250 :rule symm :premises (@p145)) % 0.95/1.14 (step @p251 :rule cong :premises (@p250 @p249) :args (@t163)) % 0.95/1.14 (step @p252 :rule refl :args (@t101)) % 0.95/1.14 (step @p253 :rule cong :premises (@p145 @p252) :args (@t109)) % 0.95/1.14 (step @p254 :rule symm :premises (@p107)) % 0.95/1.14 (step @p255 :rule refl :args (@t53)) % 0.95/1.14 (step @p256 :rule cong :premises (@p255 @p191) :args (@t150)) % 0.95/1.14 (step @p257 :rule trans :premises (@p256 @p254 @p138 @p253 @p251)) % 0.95/1.14 (step @p258 :rule symm :premises (@p257)) % 0.95/1.14 (step @p259 :rule cong :premises (@p258 @p257) :args (@t164)) % 0.95/1.14 (step @p260 :rule symm :premises (@p256)) % 0.95/1.14 (step @p261 :rule trans :premises (@p107 @p260)) % 0.95/1.14 (step @p262 :rule symm :premises (@p253)) % 0.95/1.14 (step @p263 :rule symm :premises (@p251)) % 0.95/1.14 (step @p264 :rule trans :premises (@p263 @p262 @p139)) % 0.95/1.14 (step @p265 :rule symm :premises (@p264)) % 0.95/1.14 (step @p266 :rule symm :premises (@p141)) % 0.95/1.14 (step @p267 :rule trans :premises (@p266 @p256 @p254 @p138 @p139)) % 0.95/1.14 (step @p268 :rule trans :premises (@p267 @p265)) % 0.95/1.14 (step @p269 :rule cong :premises (@p268 @p261) :args (@t142)) % 0.95/1.14 (step @p270 :rule trans :premises (@p269 @p259 @p140 @p248 @p38)) % 0.95/1.14 (step @p271 :rule trans :premises (@p266 @p256 @p254)) % 0.95/1.14 (step @p272 :rule cong :premises (@p271 @p270) :args (@t143)) % 0.95/1.14 (step @p293 :rule trans :premises (@p272 @p247)) % 0.95/1.14 (step @p294 :rule false_elim :premises (@p293)) % 0.95/1.14 (step @p295 :rule and_intro :premises (@p294 @p228)) % 0.95/1.14 (step-pop @p346 :rule scope :premises (@p295)) % 0.95/1.14 (step-pop @p347 :rule scope :premises (@p346)) % 0.95/1.14 (step-pop @p348 :rule scope :premises (@p347)) % 0.95/1.14 (step-pop @p349 :rule scope :premises (@p348)) % 0.95/1.14 (step-pop @p350 :rule scope :premises (@p349)) % 0.95/1.14 (step-pop @p351 :rule scope :premises (@p350)) % 0.95/1.14 (step-pop @p352 :rule scope :premises (@p351)) % 0.95/1.14 (step-pop @p353 :rule scope :premises (@p352)) % 0.95/1.14 (step-pop @p354 :rule scope :premises (@p353)) % 0.95/1.14 (step-pop @p355 :rule scope :premises (@p354)) % 0.95/1.14 (step-pop @p356 :rule scope :premises (@p355)) % 0.95/1.14 (step-pop @p357 :rule scope :premises (@p356)) % 0.95/1.14 (step-pop @p358 :rule scope :premises (@p357)) % 0.95/1.14 (step @p296 :rule process_scope :premises (@p358) :args (@t165)) % 0.95/1.14 (step @p310 :rule implies_elim :premises (@p296)) % 0.95/1.14 (step @p311 :rule resolution :premises (@p310 @p277) :args (true @t165)) % 0.95/1.14 (step @p312 :rule not_and :premises (@p311)) % 0.95/1.14 (step @p313 :rule eq_resolve :premises (@p312 @p242)) % 0.95/1.14 (step @p314 false :rule chain_m_resolution :premises (@p313 @p228 @p224 @p191 @p145 @p141 @p140 @p139 @p138 @p107 @p62 @p53 @p43 @p33) :args (false (@list false false false false false false false false false false false false true) (@list @t143 @t134 @t123 @t148 @t151 @t154 @t156 @t110 @t93 @t83 @t78 @t72 @t59))) % 0.95/1.14 ) % 0.95/1.14 % SZS output end Proof % 0.95/1.15 % cvc5 exiting %------------------------------------------------------------------------------