%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE008+1 : 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 : n026.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 22.72s 23.00s % Output : Proof 22.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE008+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 05:09:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 22.72/23.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 22.72/23.00 --- Run --no-e-matching --full-saturate-quant at 6... % 22.72/23.00 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 22.72/23.00 % SZS status Theorem % 22.72/23.00 % SZS output start Proof % 22.72/23.00 ( % 22.72/23.00 (declare-sort $$unsorted 0) % 22.72/23.00 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 22.72/23.00 (declare-const tptp.test (-> $$unsorted Bool)) % 22.72/23.00 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 22.72/23.00 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 22.72/23.00 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 22.72/23.00 (declare-const tptp.zero $$unsorted) % 22.72/23.00 (declare-const tptp.one $$unsorted) % 22.72/23.00 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 22.72/23.00 (define @t1 () (@var "A" $$unsorted)) % 22.72/23.00 (define @t2 () (@var "B" $$unsorted)) % 22.72/23.00 (define @t3 () (tptp.addition @t1 @t2)) % 22.72/23.00 (define @t4 () (@list @t1 @t2)) % 22.72/23.00 (define @t5 () (@var "C" $$unsorted)) % 22.72/23.00 (define @t6 () (tptp.addition @t2 @t5)) % 22.72/23.00 (define @t7 () (tptp.addition @t1 tptp.zero)) % 22.72/23.00 (define @t8 () (@list @t1)) % 22.72/23.00 (define @t9 () (forall @t8 (= @t7 @t1))) % 22.72/23.00 (define @t10 () (tptp.addition @t1 @t1)) % 22.72/23.00 (define @t11 () (forall @t8 (= @t10 @t1))) % 22.72/23.00 (define @t12 () (tptp.multiplication @t1 @t2)) % 22.72/23.00 (define @t13 () (tptp.multiplication @t2 @t5)) % 22.72/23.00 (define @t14 () (@list @t1 @t2 @t5)) % 22.72/23.00 (define @t15 () (tptp.multiplication tptp.one @t1)) % 22.72/23.00 (define @t16 () (forall @t8 (= @t15 @t1))) % 22.72/23.00 (define @t17 () (tptp.multiplication @t1 @t5)) % 22.72/23.00 (define @t18 () (tptp.multiplication tptp.zero @t1)) % 22.72/23.00 (define @t19 () (forall @t8 (= @t18 tptp.zero))) % 22.72/23.00 (define @t20 () (tptp.leq @t1 @t2)) % 22.72/23.00 (define @t21 () (= @t20 (= @t3 @t2))) % 22.72/23.00 (define @t22 () (forall @t4 @t21)) % 22.72/23.00 (define @t23 () (@var "X0" $$unsorted)) % 22.72/23.00 (define @t24 () (@var "X1" $$unsorted)) % 22.72/23.00 (define @t25 () (tptp.complement @t24 @t23)) % 22.72/23.00 (define @t26 () (@list @t24)) % 22.72/23.00 (define @t27 () (exists @t26 @t25)) % 22.72/23.00 (define @t28 () (tptp.test @t23)) % 22.72/23.00 (define @t29 () (= @t28 @t27)) % 22.72/23.00 (define @t30 () (@list @t23)) % 22.72/23.00 (define @t31 () (forall @t30 @t29)) % 22.72/23.00 (define @t32 () (tptp.addition @t23 @t24)) % 22.72/23.00 (define @t33 () (tptp.multiplication @t24 @t23)) % 22.72/23.00 (define @t34 () (tptp.multiplication @t23 @t24)) % 22.72/23.00 (define @t35 () (and (= @t34 tptp.zero) (= @t33 tptp.zero) (= @t32 tptp.one))) % 22.72/23.00 (define @t36 () (= @t25 @t35)) % 22.72/23.00 (define @t37 () (@list @t23 @t24)) % 22.72/23.00 (define @t38 () (forall @t37 @t36)) % 22.72/23.00 (define @t39 () (tptp.complement @t23 @t24)) % 22.72/23.00 (define @t40 () (tptp.c @t23)) % 22.72/23.00 (define @t41 () (= (= @t40 @t24) @t39)) % 22.72/23.00 (define @t42 () (=> @t28 @t41)) % 22.72/23.00 (define @t43 () (forall @t37 @t42)) % 22.72/23.00 (define @t44 () (not @t28)) % 22.72/23.00 (define @t45 () (@var "X2" $$unsorted)) % 22.72/23.00 (define @t46 () (= (tptp.leq @t23 (tptp.multiplication @t45 @t24)) (and (tptp.leq @t23 @t24) (tptp.leq (tptp.multiplication (tptp.c @t45) @t23) tptp.zero)))) % 22.72/23.00 (define @t47 () (tptp.test @t45)) % 22.72/23.00 (define @t48 () (@list @t23 @t24 @t45)) % 22.72/23.00 (define @t49 () (forall @t48 (=> @t47 @t46))) % 22.72/23.00 (define @t50 () (not @t49)) % 22.72/23.00 (define @t51 () (forall @t48 (or (not @t47) @t46))) % 22.72/23.00 (define @t52 () (@quantifiers_skolemize @t51 0)) % 22.72/23.00 (define @t53 () (@quantifiers_skolemize @t51 2)) % 22.72/23.00 (define @t54 () (tptp.c @t53)) % 22.72/23.00 (define @t55 () (tptp.multiplication @t54 @t52)) % 22.72/23.00 (define @t56 () (forall @t26 (not (tptp.complement @t24 @t53)))) % 22.72/23.00 (define @t57 () (@quantifiers_skolemize @t56 0)) % 22.72/23.00 (define @t58 () (@list @t53 @t57)) % 22.72/23.00 (define @t59 () (@list @t53)) % 22.72/23.00 (define @t60 () (tptp.test @t53)) % 22.72/23.00 (define @t61 () (tptp.leq @t55 tptp.zero)) % 22.72/23.00 (define @t62 () (@quantifiers_skolemize @t51 1)) % 22.72/23.00 (define @t63 () (tptp.leq @t52 @t62)) % 22.72/23.00 (define @t64 () (and @t63 @t61)) % 22.72/23.00 (define @t65 () (tptp.multiplication @t53 @t62)) % 22.72/23.00 (define @t66 () (tptp.leq @t52 @t65)) % 22.72/23.00 (define @t67 () (= @t66 @t64)) % 22.72/23.00 (define @t68 () (not @t60)) % 22.72/23.00 (define @t69 () (or @t68 @t67)) % 22.72/23.00 (define @t70 () (@list true)) % 22.72/23.00 (define @t71 () (@list @t69)) % 22.72/23.00 (define @t72 () (not @t56)) % 22.72/23.00 (define @t73 () (= @t60 @t72)) % 22.72/23.00 (define @t74 () (@list false false)) % 22.72/23.00 (define @t75 () (tptp.complement @t57 @t53)) % 22.72/23.00 (define @t76 () (not @t75)) % 22.72/23.00 (define @t77 () (not @t76)) % 22.72/23.00 (define @t78 () (tptp.addition @t53 @t57)) % 22.72/23.00 (define @t79 () (= tptp.one @t78)) % 22.72/23.00 (define @t80 () (tptp.multiplication @t57 @t53)) % 22.72/23.00 (define @t81 () (= tptp.zero @t80)) % 22.72/23.00 (define @t82 () (= tptp.zero (tptp.multiplication @t53 @t57))) % 22.72/23.00 (define @t83 () (and @t82 @t81 @t79)) % 22.72/23.00 (define @t84 () (= @t75 @t83)) % 22.72/23.00 (define @t85 () (not @t83)) % 22.72/23.00 (define @t86 () (@list false)) % 22.72/23.00 (define @t87 () (@list @t83)) % 22.72/23.00 (define @t88 () (tptp.multiplication @t53 @t52)) % 22.72/23.00 (define @t89 () (= @t24 @t40)) % 22.72/23.00 (define @t90 () (= @t39 @t89)) % 22.72/23.00 (define @t91 () (tptp.complement @t53 @t57)) % 22.72/23.00 (define @t92 () (= @t91 (= @t57 @t54))) % 22.72/23.00 (define @t93 () (or @t68 @t92)) % 22.72/23.00 (define @t94 () (forall @t37 (or @t44 @t90))) % 22.72/23.00 (define @t95 () (= @t54 @t57)) % 22.72/23.00 (define @t96 () (= @t91 @t95)) % 22.72/23.00 (define @t97 () (or @t68 @t96)) % 22.72/23.00 (define @t98 () (= tptp.one (tptp.addition @t57 @t53))) % 22.72/23.00 (define @t99 () (and @t81 @t82 @t98)) % 22.72/23.00 (define @t100 () (not @t81)) % 22.72/23.00 (define @t101 () (= @t91 @t99)) % 22.72/23.00 (define @t102 () (tptp.addition @t52 @t65)) % 22.72/23.00 (define @t103 () (= @t65 @t102)) % 22.72/23.00 (define @t104 () (= @t66 @t103)) % 22.72/23.00 (define @t105 () (not @t104)) % 22.72/23.00 (define @t106 () (not @t66)) % 22.72/23.00 (define @t107 () (@list @t62)) % 22.72/23.00 (define @t108 () (tptp.multiplication tptp.one @t62)) % 22.72/23.00 (define @t109 () (= @t62 @t108)) % 22.72/23.00 (define @t110 () (tptp.addition @t53 @t53)) % 22.72/23.00 (define @t111 () (= @t53 @t110)) % 22.72/23.00 (define @t112 () (tptp.addition @t110 @t57)) % 22.72/23.00 (define @t113 () (= (tptp.addition @t53 @t78) @t112)) % 22.72/23.00 (define @t114 () (tptp.addition @t65 @t108)) % 22.72/23.00 (define @t115 () (tptp.addition @t53 tptp.one)) % 22.72/23.00 (define @t116 () (tptp.multiplication @t115 @t62)) % 22.72/23.00 (define @t117 () (= @t116 @t114)) % 22.72/23.00 (define @t118 () (tptp.addition @t52 @t114)) % 22.72/23.00 (define @t119 () (= @t118 (tptp.addition @t102 @t108))) % 22.72/23.00 (define @t120 () (tptp.addition @t52 @t62)) % 22.72/23.00 (define @t121 () (= @t62 @t120)) % 22.72/23.00 (define @t122 () (and @t109 @t111 @t103 @t79 @t113 @t117 @t119)) % 22.72/23.00 (define @t123 () (not @t79)) % 22.72/23.00 (define @t124 () (not @t103)) % 22.72/23.00 (define @t125 () (tptp.leq tptp.zero tptp.zero)) % 22.72/23.00 (define @t126 () (= tptp.zero (tptp.addition tptp.zero tptp.zero))) % 22.72/23.00 (define @t127 () (forall @t4 (= @t20 (= @t2 @t3)))) % 22.72/23.00 (define @t128 () (= @t125 @t126)) % 22.72/23.00 (define @t129 () (= @t126 @t125)) % 22.72/23.00 (define @t130 () (= tptp.zero (tptp.multiplication tptp.zero @t62))) % 22.72/23.00 (define @t131 () (tptp.addition @t55 tptp.zero)) % 22.72/23.00 (define @t132 () (= @t55 @t131)) % 22.72/23.00 (define @t133 () (tptp.multiplication tptp.one @t57)) % 22.72/23.00 (define @t134 () (= @t57 @t133)) % 22.72/23.00 (define @t135 () (tptp.multiplication @t80 @t62)) % 22.72/23.00 (define @t136 () (tptp.multiplication @t57 @t65)) % 22.72/23.00 (define @t137 () (= @t136 @t135)) % 22.72/23.00 (define @t138 () (tptp.multiplication @t57 @t52)) % 22.72/23.00 (define @t139 () (tptp.multiplication @t57 @t102)) % 22.72/23.00 (define @t140 () (= @t139 (tptp.addition @t138 @t136))) % 22.72/23.00 (define @t141 () (tptp.multiplication @t133 @t52)) % 22.72/23.00 (define @t142 () (and @t125 @t130 @t103 @t132 @t134 @t81 @t137 @t95 @t140)) % 22.72/23.00 (define @t143 () (not @t95)) % 22.72/23.00 (define @t144 () (not @t134)) % 22.72/23.00 (define @t145 () (not @t132)) % 22.72/23.00 (define @t146 () (= @t63 @t121)) % 22.72/23.00 (define @t147 () (not @t146)) % 22.72/23.00 (define @t148 () (not @t121)) % 22.72/23.00 (define @t149 () (not @t64)) % 22.72/23.00 (define @t150 () (@list @t64)) % 22.72/23.00 (define @t151 () (= tptp.zero @t131)) % 22.72/23.00 (define @t152 () (= @t61 @t151)) % 22.72/23.00 (define @t153 () (= @t52 (tptp.multiplication tptp.one @t52))) % 22.72/23.00 (define @t154 () (tptp.addition @t88 @t65)) % 22.72/23.00 (define @t155 () (= (tptp.multiplication @t53 @t120) @t154)) % 22.72/23.00 (define @t156 () (tptp.addition @t88 tptp.zero)) % 22.72/23.00 (define @t157 () (= @t88 @t156)) % 22.72/23.00 (define @t158 () (tptp.multiplication @t78 @t52)) % 22.72/23.00 (define @t159 () (= @t158 (tptp.addition @t88 @t138))) % 22.72/23.00 (define @t160 () (and @t153 @t121 @t132 @t134 @t79 @t155 @t157 @t151 @t95 @t159)) % 22.72/23.00 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 22.72/23.00 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 22.72/23.00 (assume @p3 @t9) % 22.72/23.00 (assume @p4 @t11) % 22.72/23.00 (assume @p5 (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t5)))) % 22.72/23.00 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 22.72/23.00 (assume @p7 @t16) % 22.72/23.00 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t6) (tptp.addition @t12 @t17)))) % 22.72/23.00 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t13)))) % 22.72/23.00 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 22.72/23.00 (assume @p11 @t19) % 22.72/23.00 (assume @p12 @t22) % 22.72/23.00 (assume @p13 @t31) % 22.72/23.00 (assume @p14 @t38) % 22.72/23.00 (assume @p15 @t43) % 22.72/23.00 (assume @p16 (forall @t30 (=> @t44 (= @t40 tptp.zero)))) % 22.72/23.00 (assume @p17 @t50) % 22.72/23.00 (assume @p18 true) % 22.72/23.00 (step @p19 :rule eq-symm :args (@t15 @t1)) % 22.72/23.00 (step @p20 :rule cong :premises (@p19) :args (@t16)) % 22.72/23.00 (step @p21 :rule eq_resolve :premises (@p7 @p20)) % 22.72/23.00 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t52))) % 22.72/23.00 (step @p23 :rule eq-symm :args (@t7 @t1)) % 22.72/23.00 (step @p24 :rule cong :premises (@p23) :args (@t9)) % 22.72/23.00 (step @p25 :rule eq_resolve :premises (@p3 @p24)) % 22.72/23.00 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t55))) % 22.72/23.00 (step @p27 :rule instantiate :premises (@p21) :args ((@list @t57))) % 22.72/23.00 (step @p28 :rule eq-symm :args (@t32 tptp.one)) % 22.72/23.00 (step @p29 :rule eq-symm :args (@t33 tptp.zero)) % 22.72/23.00 (step @p30 :rule eq-symm :args (@t34 tptp.zero)) % 22.72/23.00 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28) :args (@t35)) % 22.72/23.00 (step @p32 :rule refl :args (@t25)) % 22.72/23.00 (step @p33 :rule cong :premises (@p32 @p31) :args (@t36)) % 22.72/23.00 (step @p34 :rule cong :premises (@p33) :args (@t38)) % 22.72/23.00 (step @p35 :rule eq_resolve :premises (@p14 @p34)) % 22.72/23.00 (step @p36 :rule instantiate :premises (@p35) :args (@t58)) % 22.72/23.00 (step @p37 :rule exists-elim :args ((= @t27 (not (forall @t26 (not @t25)))))) % 22.72/23.00 (step @p38 :rule refl :args (@t28)) % 22.72/23.00 (step @p39 :rule cong :premises (@p38 @p37) :args (@t29)) % 22.72/23.00 (step @p40 :rule cong :premises (@p39) :args (@t31)) % 22.72/23.00 (step @p41 :rule eq_resolve :premises (@p13 @p40)) % 22.72/23.00 (step @p42 :rule instantiate :premises (@p41) :args (@t59)) % 22.72/23.00 (step @p43 :rule bool-impl-elim :args (@t47 @t46)) % 22.72/23.00 (step @p44 :rule cong :premises (@p43) :args (@t49)) % 22.72/23.00 (step @p45 :rule cong :premises (@p44) :args (@t50)) % 22.72/23.00 (step @p46 :rule eq_resolve :premises (@p17 @p45)) % 22.72/23.00 (step @p47 :rule skolemize :premises (@p46)) % 22.72/23.00 (step @p48 :rule bool-double-not-elim :args (@t60)) % 22.72/23.00 (step @p49 :rule refl :args (@t69)) % 22.72/23.00 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t69 (not @t68)))) % 22.72/23.00 (step @p51 :rule cnf_or_neg :args (@t69 0)) % 22.72/23.00 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 22.72/23.00 (step @p53 :rule reordering :premises (@p52) :args ((or @t60 @t69))) % 22.72/23.00 (step @p54 :rule chain_m_resolution :premises (@p53 @p47) :args (@t60 @t70 @t71)) % 22.72/23.00 (step @p55 :rule cnf_equiv_pos1 :args (@t73)) % 22.72/23.00 (step @p56 :rule reordering :premises (@p55) :args ((or @t68 @t72 (not @t73)))) % 22.72/23.00 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p42) :args (@t72 @t74 (@list @t60 @t73))) % 22.72/23.00 (step @p58 :rule refl :args (@t75)) % 22.72/23.00 (step @p59 :rule bool-double-not-elim :args (@t56)) % 22.72/23.00 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t72) @t75))) % 22.72/23.00 (step @p61 :rule bool-double-not-elim :args (@t75)) % 22.72/23.00 (step @p62 :rule refl :args (@t72)) % 22.72/23.00 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t72 @t77))) % 22.72/23.00 (assume-push @p371 @t72) % 22.72/23.00 (step @p65 :rule skolemize :premises (@p57)) % 22.72/23.00 (step-pop @p372 :rule scope :premises (@p65)) % 22.72/23.00 (step @p66 :rule process_scope :premises (@p372) :args (@t77)) % 22.72/23.00 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 22.72/23.00 (step @p69 :rule implies_elim :premises (@p68)) % 22.72/23.00 (step @p70 :rule eq_resolve :premises (@p69 @p60)) % 22.72/23.00 (step @p71 :rule chain_m_resolution :premises (@p70 @p57) :args (@t75 @t70 (@list @t56))) % 22.72/23.00 (step @p72 :rule cnf_equiv_pos1 :args (@t84)) % 22.72/23.00 (step @p73 :rule reordering :premises (@p72) :args ((or @t76 @t83 (not @t84)))) % 22.72/23.00 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p36) :args (@t83 @t74 (@list @t75 @t84))) % 22.72/23.00 (step @p75 :rule cnf_and_pos :args (@t83 2)) % 22.72/23.00 (step @p76 :rule reordering :premises (@p75) :args ((or @t79 @t85))) % 22.72/23.00 (step @p77 :rule chain_m_resolution :premises (@p76 @p74) :args (@t79 @t86 @t87)) % 22.72/23.00 (step @p78 :rule instantiate :premises (@p8) :args ((@list @t53 @t52 @t62))) % 22.72/23.00 (step @p79 :rule instantiate :premises (@p25) :args ((@list @t88))) % 22.72/23.00 (step @p80 :rule bool-impl-elim :args (@t28 @t90)) % 22.72/23.00 (step @p81 :rule cong :premises (@p80) :args ((forall @t37 (=> @t28 @t90)))) % 22.72/23.00 (step @p82 :rule eq-symm :args (@t89 @t39)) % 22.72/23.00 (step @p83 :rule refl :args (@t39)) % 22.72/23.00 (step @p84 :rule eq-symm :args (@t40 @t24)) % 22.72/23.00 (step @p85 :rule cong :premises (@p84 @p83) :args (@t41)) % 22.72/23.00 (step @p86 :rule trans :premises (@p85 @p82)) % 22.72/23.00 (step @p87 :rule cong :premises (@p38 @p86) :args (@t42)) % 22.72/23.00 (step @p88 :rule cong :premises (@p87) :args (@t43)) % 22.72/23.00 (step @p89 :rule trans :premises (@p88 @p81)) % 22.72/23.00 (step @p90 :rule eq_resolve :premises (@p15 @p89)) % 22.72/23.00 (step @p91 :rule eq-symm :args (@t57 @t54)) % 22.72/23.00 (step @p92 :rule refl :args (@t91)) % 22.72/23.00 (step @p93 :rule cong :premises (@p92 @p91) :args (@t92)) % 22.72/23.00 (step @p94 :rule refl :args (@t68)) % 22.72/23.00 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t93)) % 22.72/23.00 (step @p96 :rule refl :args (@t94)) % 22.72/23.00 (step @p97 :rule cong :premises (@p96 @p95) :args 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:rule process_scope :premises (@p395) :args (@t121)) % 22.72/23.00 (step @p186 :rule and_intro :premises (@p137 @p77 @p141 @p142 @p143 @p144 @p377)) % 22.72/23.00 (step @p187 :rule modus_ponens :premises (@p186 @p178)) % 22.72/23.00 (step-pop @p396 :rule scope :premises (@p187)) % 22.72/23.00 (step-pop @p397 :rule scope :premises (@p396)) % 22.72/23.00 (step-pop @p398 :rule scope :premises (@p397)) % 22.72/23.00 (step-pop @p399 :rule scope :premises (@p398)) % 22.72/23.00 (step-pop @p400 :rule scope :premises (@p399)) % 22.72/23.00 (step-pop @p401 :rule scope :premises (@p400)) % 22.72/23.00 (step-pop @p402 :rule scope :premises (@p401)) % 22.72/23.00 (step @p188 :rule process_scope :premises (@p402) :args (@t121)) % 22.72/23.00 (step @p196 :rule implies_elim :premises (@p188)) % 22.72/23.00 (step @p197 :rule cnf_and_neg :args (@t122)) % 22.72/23.00 (step @p198 :rule resolution :premises (@p197 @p196) :args (true @t122)) % 22.72/23.00 (step @p199 :rule reordering :premises (@p198) 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@p413 @t140) % 22.72/23.00 (assume-push @p414 @t125) % 22.72/23.00 (assume-push @p415 @t130) % 22.72/23.00 (assume-push @p416 @t81) % 22.72/23.00 (assume-push @p417 @t137) % 22.72/23.00 (assume-push @p418 @t103) % 22.72/23.00 (assume-push @p419 @t140) % 22.72/23.00 (assume-push @p420 @t134) % 22.72/23.00 (assume-push @p421 @t95) % 22.72/23.00 (assume-push @p422 @t132) % 22.72/23.00 (step @p238 :rule true_intro :premises (@p213)) % 22.72/23.00 (step @p239 :rule refl :args (tptp.zero)) % 22.72/23.00 (step @p240 :rule symm :premises (@p217)) % 22.72/23.00 (step @p160 :rule refl :args (@t62)) % 22.72/23.00 (step @p241 :rule symm :premises (@p113)) % 22.72/23.00 (step @p242 :rule cong :premises (@p241 @p160) :args (@t135)) % 22.72/23.00 (step @p243 :rule symm :premises (@p407)) % 22.72/23.00 (step @p162 :rule refl :args (@t57)) % 22.72/23.00 (step @p244 :rule cong :premises (@p162 @p243) :args (@t139)) % 22.72/23.00 (step @p245 :rule symm :premises (@p219)) % 22.72/23.00 (step @p246 :rule 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:premises (@p423)) % 22.72/23.00 (step-pop @p425 :rule scope :premises (@p424)) % 22.72/23.00 (step-pop @p426 :rule scope :premises (@p425)) % 22.72/23.00 (step-pop @p427 :rule scope :premises (@p426)) % 22.72/23.00 (step-pop @p428 :rule scope :premises (@p427)) % 22.72/23.00 (step-pop @p429 :rule scope :premises (@p428)) % 22.72/23.00 (step-pop @p430 :rule scope :premises (@p429)) % 22.72/23.00 (step-pop @p431 :rule scope :premises (@p430)) % 22.72/23.00 (step @p259 :rule process_scope :premises (@p431) :args (@t61)) % 22.72/23.00 (step @p269 :rule and_intro :premises (@p213 @p217 @p113 @p218 @p407 @p219 @p27 @p125 @p26)) % 22.72/23.00 (step @p270 :rule modus_ponens :premises (@p269 @p259)) % 22.72/23.00 (step-pop @p432 :rule scope :premises (@p270)) % 22.72/23.00 (step-pop @p433 :rule scope :premises (@p432)) % 22.72/23.00 (step-pop @p434 :rule scope :premises (@p433)) % 22.72/23.00 (step-pop @p435 :rule scope :premises (@p434)) % 22.72/23.00 (step-pop @p436 :rule scope :premises (@p435)) % 22.72/23.00 (step-pop @p437 :rule scope :premises (@p436)) % 22.72/23.00 (step-pop @p438 :rule scope :premises (@p437)) % 22.72/23.00 (step-pop @p439 :rule scope :premises (@p438)) % 22.72/23.00 (step-pop @p440 :rule scope :premises (@p439)) % 22.72/23.00 (step @p271 :rule process_scope :premises (@p440) :args (@t61)) % 22.72/23.00 (step @p281 :rule implies_elim :premises (@p271)) % 22.72/23.00 (step @p282 :rule cnf_and_neg :args (@t142)) % 22.72/23.00 (step @p283 :rule resolution :premises (@p282 @p281) :args (true @t142)) % 22.72/23.00 (step @p284 :rule reordering :premises (@p283) :args ((or @t61 (not @t125) (not @t130) @t124 @t145 @t144 @t100 (not @t137) @t143 (not @t140)))) % 22.72/23.00 (step @p285 :rule instantiate :premises (@p130) :args ((@list @t52 @t62))) % 22.72/23.00 (step @p286 :rule cnf_equiv_pos2 :args (@t146)) % 22.72/23.00 (step @p287 :rule reordering :premises (@p286) :args ((or @t63 @t148 @t147))) % 22.72/23.00 (step @p288 :rule cnf_and_neg :args (@t64)) 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@p133) :args (@t64 (@list true true) (@list @t66 @t67))) % 22.72/23.00 (step @p296 :rule cnf_and_pos :args (@t64 0)) % 22.72/23.00 (step @p297 :rule reordering :premises (@p296) :args ((or @t63 @t149))) % 22.72/23.00 (step @p298 :rule chain_m_resolution :premises (@p297 @p295) :args (@t63 @t86 @t150)) % 22.72/23.00 (step @p299 :rule cnf_equiv_pos1 :args (@t146)) % 22.72/23.00 (step @p300 :rule reordering :premises (@p299) :args ((or (not @t63) @t121 @t147))) % 22.72/23.00 (step @p301 :rule chain_m_resolution :premises (@p300 @p298 @p285) :args (@t121 @t74 (@list @t63 @t146))) % 22.72/23.00 (step @p302 :rule instantiate :premises (@p130) :args ((@list @t55 tptp.zero))) % 22.72/23.00 (step @p303 :rule cnf_and_pos :args (@t64 1)) % 22.72/23.00 (step @p304 :rule reordering :premises (@p303) :args ((or @t61 @t149))) % 22.72/23.00 (step @p305 :rule chain_m_resolution :premises (@p304 @p295) :args (@t61 @t86 @t150)) % 22.72/23.00 (step @p306 :rule cnf_equiv_pos1 :args (@t152)) % 22.72/23.00 (step @p307 :rule reordering :premises (@p306) :args ((or (not @t61) @t151 (not @t152)))) % 22.72/23.00 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p302) :args (@t151 @t74 (@list @t61 @t152))) % 22.72/23.00 (step @p309 :rule instantiate :premises (@p9) :args ((@list @t53 @t57 @t52))) % 22.72/23.00 (assume-push @p441 @t153) % 22.72/23.00 (assume-push @p442 @t121) % 22.72/23.00 (assume-push @p443 @t132) % 22.72/23.00 (assume-push @p444 @t134) % 22.72/23.00 (assume-push @p445 @t79) % 22.72/23.00 (assume-push @p446 @t155) % 22.72/23.00 (assume-push @p447 @t157) % 22.72/23.00 (assume-push @p448 @t151) % 22.72/23.00 (assume-push @p449 @t95) % 22.72/23.00 (assume-push @p450 @t159) % 22.72/23.00 (assume-push @p451 @t153) % 22.72/23.00 (assume-push @p452 @t79) % 22.72/23.00 (assume-push @p453 @t159) % 22.72/23.00 (assume-push @p454 @t134) % 22.72/23.00 (assume-push @p455 @t95) % 22.72/23.00 (assume-push @p456 @t132) % 22.72/23.00 (assume-push @p457 @t151) % 22.72/23.00 (assume-push @p458 @t157) % 22.72/23.00 (assume-push @p459 @t155) % 22.72/23.00 (assume-push @p460 @t121) % 22.72/23.00 (step @p330 :rule refl :args (@t65)) % 22.72/23.00 (step @p331 :rule symm :premises (@p22)) % 22.72/23.00 (step @p171 :rule refl :args (@t52)) % 22.72/23.00 (step @p161 :rule symm :premises (@p77)) % 22.72/23.00 (step @p332 :rule cong :premises (@p161 @p171) :args (@t158)) % 22.72/23.00 (step @p333 :rule symm :premises (@p309)) % 22.72/23.00 (step @p249 :rule symm :premises (@p27)) % 22.72/23.00 (step @p250 :rule cong :premises (@p249 @p171) :args (@t141)) % 22.72/23.00 (step @p251 :rule trans :premises (@p125 @p27)) % 22.72/23.00 (step @p252 :rule cong :premises (@p251 @p171) :args (@t55)) % 22.72/23.00 (step @p334 :rule symm :premises (@p26)) % 22.72/23.00 (step @p335 :rule trans :premises (@p448 @p334 @p252 @p250)) % 22.72/23.00 (step @p336 :rule refl :args (@t88)) % 22.72/23.00 (step @p337 :rule cong :premises (@p336 @p335) :args (@t156)) % 22.72/23.00 (step @p338 :rule trans :premises (@p79 @p337 @p333 @p332 @p331)) % 22.72/23.00 (step @p339 :rule cong :premises (@p338 @p330) :args (@t154)) % 22.72/23.00 (step @p165 :rule refl :args (@t53)) % 22.72/23.00 (step @p340 :rule cong :premises (@p165 @p442) :args (@t65)) % 22.72/23.00 (step @p341 :rule trans :premises (@p340 @p78 @p339)) % 22.72/23.00 (step-pop @p461 :rule scope :premises (@p341)) % 22.72/23.00 (step-pop @p462 :rule scope :premises (@p461)) % 22.72/23.00 (step-pop @p463 :rule scope :premises (@p462)) % 22.72/23.00 (step-pop @p464 :rule scope :premises (@p463)) % 22.72/23.00 (step-pop @p465 :rule scope :premises (@p464)) % 22.72/23.00 (step-pop @p466 :rule scope :premises (@p465)) % 22.72/23.00 (step-pop @p467 :rule scope :premises (@p466)) % 22.72/23.00 (step-pop @p468 :rule scope :premises (@p467)) % 22.72/23.00 (step-pop @p469 :rule scope :premises (@p468)) % 22.72/23.00 (step-pop @p470 :rule scope :premises (@p469)) % 22.72/23.00 (step @p342 :rule process_scope :premises (@p470) :args (@t103)) % 22.72/23.00 (step @p353 :rule and_intro :premises (@p22 @p77 @p309 @p27 @p125 @p26 @p448 @p79 @p78 @p442)) % 22.72/23.00 (step @p354 :rule modus_ponens :premises (@p353 @p342)) % 22.72/23.00 (step-pop @p471 :rule scope :premises (@p354)) % 22.72/23.00 (step-pop @p472 :rule scope :premises (@p471)) % 22.72/23.00 (step-pop @p473 :rule scope :premises (@p472)) % 22.72/23.00 (step-pop @p474 :rule scope :premises (@p473)) % 22.72/23.00 (step-pop @p475 :rule scope :premises (@p474)) % 22.72/23.00 (step-pop @p476 :rule scope :premises (@p475)) % 22.72/23.00 (step-pop @p477 :rule scope :premises (@p476)) % 22.72/23.00 (step-pop @p478 :rule scope :premises (@p477)) % 22.72/23.00 (step-pop @p479 :rule scope :premises (@p478)) % 22.72/23.00 (step-pop @p480 :rule scope :premises (@p479)) % 22.72/23.00 (step @p355 :rule process_scope :premises (@p480) :args (@t103)) % 22.72/23.00 (step @p366 :rule implies_elim :premises (@p355)) % 22.72/23.00 (step @p367 :rule cnf_and_neg :args (@t160)) % 22.72/23.00 (step @p368 :rule resolution :premises (@p367 @p366) :args (true @t160)) % 22.72/23.00 (step @p369 :rule reordering :premises (@p368) :args ((or (not @t153) @t148 @t103 @t145 @t144 @t123 (not @t155) (not @t157) (not @t151) @t143 (not @t159)))) % 22.72/23.00 (step @p370 false :rule chain_m_resolution :premises (@p369 @p309 @p308 @p301 @p292 @p125 @p79 @p78 @p77 @p27 @p26 @p22) :args (false (@list false false false true false false false false false false false) (@list @t159 @t151 @t121 @t103 @t95 @t157 @t155 @t79 @t134 @t132 @t153))) % 22.72/23.00 ) % 22.72/23.00 % SZS output end Proof % 22.72/23.00 % cvc5 exiting %------------------------------------------------------------------------------