%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE140+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 : n023.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 08:28:22 AM UTC 2026 % Result : Theorem 39.74s 39.94s % Output : Proof 39.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE140+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.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 05:20:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.48 %----Proving TF0_NAR, FOF, or CNF % 39.74/39.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 39.74/39.94 --- Run --no-e-matching --full-saturate-quant at 6... % 39.74/39.94 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 39.74/39.94 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 39.74/39.94 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 39.74/39.94 % SZS status Theorem % 39.74/39.94 % SZS output start Proof % 39.74/39.94 ( % 39.74/39.94 (declare-sort $$unsorted 0) % 39.74/39.94 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 39.74/39.94 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 39.74/39.94 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 39.74/39.94 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 39.74/39.94 (declare-const tptp.zero $$unsorted) % 39.74/39.94 (declare-const tptp.one $$unsorted) % 39.74/39.94 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 39.74/39.94 (define @t1 () (@var "A" $$unsorted)) % 39.74/39.94 (define @t2 () (@var "B" $$unsorted)) % 39.74/39.94 (define @t3 () (tptp.addition @t1 @t2)) % 39.74/39.94 (define @t4 () (@list @t1 @t2)) % 39.74/39.94 (define @t5 () (@var "C" $$unsorted)) % 39.74/39.94 (define @t6 () (tptp.addition @t2 @t5)) % 39.74/39.94 (define @t7 () (tptp.addition @t1 tptp.zero)) % 39.74/39.94 (define @t8 () (@list @t1)) % 39.74/39.94 (define @t9 () (forall @t8 (= @t7 @t1))) % 39.74/39.94 (define @t10 () (tptp.addition @t1 @t1)) % 39.74/39.94 (define @t11 () (forall @t8 (= @t10 @t1))) % 39.74/39.94 (define @t12 () (tptp.multiplication @t1 @t2)) % 39.74/39.94 (define @t13 () (tptp.multiplication @t2 @t5)) % 39.74/39.94 (define @t14 () (@list @t1 @t2 @t5)) % 39.74/39.94 (define @t15 () (tptp.multiplication @t1 tptp.one)) % 39.74/39.94 (define @t16 () (forall @t8 (= @t15 @t1))) % 39.74/39.94 (define @t17 () (tptp.multiplication @t1 @t5)) % 39.74/39.94 (define @t18 () (forall @t14 (= (tptp.multiplication @t1 @t6) (tptp.addition @t12 @t17)))) % 39.74/39.94 (define @t19 () (tptp.multiplication tptp.zero @t1)) % 39.74/39.94 (define @t20 () (forall @t8 (= @t19 tptp.zero))) % 39.74/39.94 (define @t21 () (tptp.star @t1)) % 39.74/39.94 (define @t22 () (tptp.addition tptp.one (tptp.multiplication @t1 @t21))) % 39.74/39.94 (define @t23 () (forall @t8 (= @t22 @t21))) % 39.74/39.94 (define @t24 () (tptp.addition @t17 @t2)) % 39.74/39.94 (define @t25 () (tptp.strong_iteration @t1)) % 39.74/39.94 (define @t26 () (tptp.leq @t5 (tptp.multiplication @t25 @t2))) % 39.74/39.94 (define @t27 () (tptp.leq @t5 @t24)) % 39.74/39.94 (define @t28 () (forall @t14 (=> @t27 @t26))) % 39.74/39.94 (define @t29 () (tptp.leq @t1 @t2)) % 39.74/39.94 (define @t30 () (= @t29 (= @t3 @t2))) % 39.74/39.94 (define @t31 () (forall @t4 @t30)) % 39.74/39.94 (define @t32 () (@var "X1" $$unsorted)) % 39.74/39.94 (define @t33 () (@var "X0" $$unsorted)) % 39.74/39.94 (define @t34 () (tptp.leq (tptp.strong_iteration @t33) (tptp.strong_iteration @t32))) % 39.74/39.94 (define @t35 () (tptp.leq @t33 @t32)) % 39.74/39.94 (define @t36 () (@list @t33 @t32)) % 39.74/39.94 (define @t37 () (forall @t36 (=> @t35 @t34))) % 39.74/39.94 (define @t38 () (not @t37)) % 39.74/39.94 (define @t39 () (forall @t36 (or (not @t35) @t34))) % 39.74/39.94 (define @t40 () (@quantifiers_skolemize @t39 0)) % 39.74/39.94 (define @t41 () (@list @t40)) % 39.74/39.94 (define @t42 () (@quantifiers_skolemize @t39 1)) % 39.74/39.94 (define @t43 () (tptp.leq @t40 @t42)) % 39.74/39.94 (define @t44 () (tptp.strong_iteration @t42)) % 39.74/39.94 (define @t45 () (tptp.strong_iteration @t40)) % 39.74/39.94 (define @t46 () (tptp.leq @t45 @t44)) % 39.74/39.94 (define @t47 () (not @t43)) % 39.74/39.94 (define @t48 () (or @t47 @t46)) % 39.74/39.94 (define @t49 () (@list true)) % 39.74/39.94 (define @t50 () (@list @t48)) % 39.74/39.94 (define @t51 () (tptp.addition @t40 @t42)) % 39.74/39.94 (define @t52 () (= @t42 @t51)) % 39.74/39.94 (define @t53 () (= @t43 @t52)) % 39.74/39.94 (define @t54 () (tptp.multiplication @t40 @t45)) % 39.74/39.94 (define @t55 () (@list @t42)) % 39.74/39.94 (define @t56 () (tptp.multiplication @t42 @t45)) % 39.74/39.94 (define @t57 () (tptp.addition @t54 @t54)) % 39.74/39.94 (define @t58 () (tptp.multiplication @t42 @t57)) % 39.74/39.94 (define @t59 () (tptp.multiplication @t42 @t54)) % 39.74/39.94 (define @t60 () (tptp.addition @t59 @t59)) % 39.74/39.94 (define @t61 () (= @t58 @t60)) % 39.74/39.94 (define @t62 () (@list @t42 @t54 @t54)) % 39.74/39.94 (define @t63 () (= @t60 @t58)) % 39.74/39.94 (define @t64 () (@list false)) % 39.74/39.94 (define @t65 () (@list @t18)) % 39.74/39.94 (define @t66 () (tptp.addition @t45 @t45)) % 39.74/39.94 (define @t67 () (tptp.multiplication @t42 @t66)) % 39.74/39.94 (define @t68 () (tptp.addition @t56 @t56)) % 39.74/39.94 (define @t69 () (= @t67 @t68)) % 39.74/39.94 (define @t70 () (= @t68 @t67)) % 39.74/39.94 (define @t71 () (tptp.multiplication @t42 tptp.one)) % 39.74/39.94 (define @t72 () (tptp.addition @t56 tptp.one)) % 39.74/39.94 (define @t73 () (tptp.multiplication @t44 tptp.zero)) % 39.74/39.94 (define @t74 () (tptp.star @t42)) % 39.74/39.94 (define @t75 () (tptp.star tptp.zero)) % 39.74/39.94 (define @t76 () (tptp.multiplication @t73 tptp.one)) % 39.74/39.94 (define @t77 () (tptp.multiplication @t44 tptp.one)) % 39.74/39.94 (define @t78 () (tptp.leq @t45 @t77)) % 39.74/39.94 (define @t79 () (tptp.leq @t45 @t72)) % 39.74/39.94 (define @t80 () (not @t79)) % 39.74/39.94 (define @t81 () (or @t80 @t78)) % 39.74/39.94 (define @t82 () (@list true false)) % 39.74/39.94 (define @t83 () (= @t72 (tptp.addition @t45 @t72))) % 39.74/39.94 (define @t84 () (= @t79 @t83)) % 39.74/39.94 (define @t85 () (not @t83)) % 39.74/39.94 (define @t86 () (tptp.addition @t56 @t42)) % 39.74/39.94 (define @t87 () (tptp.addition @t66 @t86)) % 39.74/39.94 (define @t88 () (tptp.addition @t45 @t86)) % 39.74/39.94 (define @t89 () (tptp.addition @t45 @t88)) % 39.74/39.94 (define @t90 () (= @t89 @t87)) % 39.74/39.94 (define @t91 () (not @t90)) % 39.74/39.94 (define @t92 () (tptp.addition @t42 @t59)) % 39.74/39.94 (define @t93 () (tptp.addition @t92 @t56)) % 39.74/39.94 (define @t94 () (= (tptp.addition @t42 (tptp.addition @t59 @t56)) @t93)) % 39.74/39.94 (define @t95 () (not @t94)) % 39.74/39.94 (define @t96 () (tptp.addition @t59 @t71)) % 39.74/39.94 (define @t97 () (tptp.addition @t71 @t59)) % 39.74/39.94 (define @t98 () (tptp.addition @t59 @t97)) % 39.74/39.94 (define @t99 () (= @t98 (tptp.addition @t96 @t59))) % 39.74/39.94 (define @t100 () (not @t99)) % 39.74/39.94 (define @t101 () (tptp.addition @t97 @t59)) % 39.74/39.94 (define @t102 () (= (tptp.addition @t71 @t60) @t101)) % 39.74/39.94 (define @t103 () (not @t102)) % 39.74/39.94 (define @t104 () (tptp.addition @t54 @t56)) % 39.74/39.94 (define @t105 () (tptp.addition @t104 tptp.one)) % 39.74/39.94 (define @t106 () (= (tptp.addition @t54 @t72) @t105)) % 39.74/39.94 (define @t107 () (not @t106)) % 39.74/39.94 (define @t108 () (tptp.multiplication @t51 @t45)) % 39.74/39.94 (define @t109 () (= @t108 @t104)) % 39.74/39.94 (define @t110 () (not @t109)) % 39.74/39.94 (define @t111 () (tptp.addition @t54 tptp.one)) % 39.74/39.94 (define @t112 () (= (tptp.multiplication @t42 @t111) @t96)) % 39.74/39.94 (define @t113 () (not @t112)) % 39.74/39.94 (define @t114 () (not @t70)) % 39.74/39.94 (define @t115 () (not @t63)) % 39.74/39.94 (define @t116 () (tptp.addition tptp.one @t56)) % 39.74/39.94 (define @t117 () (tptp.addition @t54 @t116)) % 39.74/39.94 (define @t118 () (= @t117 (tptp.addition @t111 @t56))) % 39.74/39.94 (define @t119 () (not @t118)) % 39.74/39.94 (define @t120 () (tptp.addition tptp.one @t54)) % 39.74/39.94 (define @t121 () (tptp.multiplication @t42 @t120)) % 39.74/39.94 (define @t122 () (= @t121 @t97)) % 39.74/39.94 (define @t123 () (not @t122)) % 39.74/39.94 (define @t124 () (tptp.addition @t42 @t56)) % 39.74/39.94 (define @t125 () (= @t86 @t124)) % 39.74/39.94 (define @t126 () (not @t125)) % 39.74/39.94 (define @t127 () (= @t72 @t116)) % 39.74/39.94 (define @t128 () (not @t127)) % 39.74/39.94 (define @t129 () (tptp.addition @t40 @t40)) % 39.74/39.94 (define @t130 () (= (tptp.multiplication @t129 @t45) @t57)) % 39.74/39.94 (define @t131 () (not @t130)) % 39.74/39.94 (define @t132 () (= @t42 @t71)) % 39.74/39.94 (define @t133 () (not @t132)) % 39.74/39.94 (define @t134 () (= @t40 @t129)) % 39.74/39.94 (define @t135 () (not @t134)) % 39.74/39.94 (define @t136 () (= @t45 @t66)) % 39.74/39.94 (define @t137 () (not @t136)) % 39.74/39.94 (define @t138 () (= @t111 @t120)) % 39.74/39.94 (define @t139 () (not @t138)) % 39.74/39.94 (define @t140 () (not @t52)) % 39.74/39.94 (define @t141 () (= @t45 @t111)) % 39.74/39.94 (define @t142 () (not @t141)) % 39.74/39.94 (define @t143 () (= @t87 @t89)) % 39.74/39.94 (define @t144 () (not @t143)) % 39.74/39.94 (define @t145 () (tptp.addition @t56 @t59)) % 39.74/39.94 (define @t146 () (and @t90 @t91)) % 39.74/39.94 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 39.74/39.94 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 39.74/39.94 (assume @p3 @t9) % 39.74/39.94 (assume @p4 @t11) % 39.74/39.94 (assume @p5 (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t5)))) % 39.74/39.94 (assume @p6 @t16) % 39.74/39.94 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 39.74/39.94 (assume @p8 @t18) % 39.74/39.94 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t13)))) % 39.74/39.94 (assume @p10 @t20) % 39.74/39.94 (assume @p11 @t23) % 39.74/39.94 (assume @p12 (forall @t8 (= (tptp.addition tptp.one (tptp.multiplication @t21 @t1)) @t21))) % 39.74/39.94 (assume @p13 (forall @t14 (=> (tptp.leq @t24 @t5) (tptp.leq (tptp.multiplication @t21 @t2) @t5)))) % 39.74/39.94 (assume @p14 (forall @t14 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t21) @t5)))) % 39.74/39.94 (assume @p15 (forall @t8 (= @t25 (tptp.addition (tptp.multiplication @t1 @t25) tptp.one)))) % 39.74/39.94 (assume @p16 @t28) % 39.74/39.94 (assume @p17 (forall @t8 (= @t25 (tptp.addition @t21 (tptp.multiplication @t25 tptp.zero))))) % 39.74/39.94 (assume @p18 @t31) % 39.74/39.94 (assume @p19 @t38) % 39.74/39.94 (assume @p20 true) % 39.74/39.94 (step @p21 :rule instantiate :premises (@p15) :args (@t41)) % 39.74/39.94 (step @p22 :rule eq-symm :args (@t3 @t2)) % 39.74/39.94 (step @p23 :rule refl :args (@t29)) % 39.74/39.94 (step @p24 :rule cong :premises (@p23 @p22) :args (@t30)) % 39.74/39.94 (step @p25 :rule cong :premises (@p24) :args (@t31)) % 39.74/39.94 (step @p26 :rule eq_resolve :premises (@p18 @p25)) % 39.74/39.94 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t40 @t42))) % 39.74/39.94 (step @p28 :rule bool-impl-elim :args (@t35 @t34)) % 39.74/39.94 (step @p29 :rule cong :premises (@p28) :args (@t37)) % 39.74/39.94 (step @p30 :rule cong :premises (@p29) :args (@t38)) % 39.74/39.94 (step @p31 :rule eq_resolve :premises (@p19 @p30)) % 39.74/39.94 (step @p32 :rule skolemize :premises (@p31)) % 39.74/39.94 (step @p33 :rule bool-double-not-elim :args (@t43)) % 39.74/39.94 (step @p34 :rule refl :args (@t48)) % 39.74/39.94 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t48 (not @t47)))) % 39.74/39.94 (step @p36 :rule cnf_or_neg :args (@t48 0)) % 39.74/39.94 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 39.74/39.94 (step @p38 :rule reordering :premises (@p37) :args ((or @t43 @t48))) % 39.74/39.94 (step @p39 :rule chain_m_resolution :premises (@p38 @p32) :args (@t43 @t49 @t50)) % 39.74/39.94 (step @p40 :rule cnf_equiv_pos1 :args (@t53)) % 39.74/39.94 (step @p41 :rule reordering :premises (@p40) :args ((or @t47 @t52 (not @t53)))) % 39.74/39.94 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p27) :args (@t52 (@list false false) (@list @t43 @t53))) % 39.74/39.94 (step @p43 :rule instantiate :premises (@p1) :args ((@list @t54 tptp.one))) % 39.74/39.94 (step @p44 :rule eq-symm :args (@t10 @t1)) % 39.74/39.94 (step @p45 :rule cong :premises (@p44) :args (@t11)) % 39.74/39.94 (step @p46 :rule eq_resolve :premises (@p4 @p45)) % 39.74/39.94 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t45))) % 39.74/39.94 (step @p48 :rule instantiate :premises (@p46) :args (@t41)) % 39.74/39.94 (step @p49 :rule eq-symm :args (@t15 @t1)) % 39.74/39.94 (step @p50 :rule cong :premises (@p49) :args (@t16)) % 39.74/39.94 (step @p51 :rule eq_resolve :premises (@p6 @p50)) % 39.74/39.94 (step @p52 :rule instantiate :premises (@p51) :args (@t55)) % 39.74/39.94 (step @p53 :rule instantiate :premises (@p9) :args ((@list @t40 @t40 @t45))) % 39.74/39.94 (step @p54 :rule instantiate :premises (@p1) :args ((@list @t56 tptp.one))) % 39.74/39.94 (step @p55 :rule instantiate :premises (@p1) :args ((@list @t56 @t42))) % 39.74/39.94 (step @p56 :rule instantiate :premises (@p8) :args ((@list @t42 tptp.one @t54))) % 39.74/39.94 (step @p57 :rule instantiate :premises (@p2) :args ((@list @t56 tptp.one @t54))) % 39.74/39.94 (step @p58 :rule eq-symm :args (@t58 @t60)) % 39.74/39.94 (step @p59 :rule refl :args (@t18)) % 39.74/39.94 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t18 @t61))) % 39.74/39.94 (assume-push @p278 @t18) % 39.74/39.94 (step @p62 :rule instantiate :premises (@p8) :args (@t62)) % 39.74/39.94 (step-pop @p279 :rule scope :premises (@p62)) % 39.74/39.94 (step @p63 :rule process_scope :premises (@p279) :args (@t61)) % 39.74/39.94 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 39.74/39.94 (step @p66 :rule implies_elim :premises (@p65)) % 39.74/39.94 (step @p67 :rule chain_m_resolution :premises (@p66 @p8) :args (@t63 @t64 @t65)) % 39.74/39.94 (step @p68 :rule eq-symm :args (@t67 @t68)) % 39.74/39.94 (step @p69 :rule cong :premises (@p59 @p68) :args ((=> @t18 @t69))) % 39.74/39.94 (assume-push @p280 @t18) % 39.74/39.94 (step @p71 :rule instantiate :premises (@p8) :args ((@list @t42 @t45 @t45))) % 39.74/39.94 (step-pop @p281 :rule scope :premises (@p71)) % 39.74/39.94 (step @p72 :rule process_scope :premises (@p281) :args (@t69)) % 39.74/39.94 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 39.74/39.94 (step @p75 :rule implies_elim :premises (@p74)) % 39.74/39.94 (step @p76 :rule chain_m_resolution :premises (@p75 @p8) :args (@t70 @t64 @t65)) % 39.74/39.94 (step @p77 :rule instantiate :premises (@p8) :args ((@list @t42 @t54 tptp.one))) % 39.74/39.94 (step @p78 :rule instantiate :premises (@p9) :args ((@list @t40 @t42 @t45))) % 39.74/39.94 (step @p79 :rule instantiate :premises (@p2) :args ((@list tptp.one @t56 @t54))) % 39.74/39.94 (step @p80 :rule instantiate :premises (@p2) :args ((@list @t59 @t59 @t71))) % 39.74/39.94 (step @p81 :rule instantiate :premises (@p2) :args ((@list @t59 @t71 @t59))) % 39.74/39.94 (step @p82 :rule instantiate :premises (@p2) :args ((@list @t56 @t59 @t42))) % 39.74/39.94 (step @p83 :rule instantiate :premises (@p26) :args ((@list @t45 @t72))) % 39.74/39.94 (step @p84 :rule bool-impl-elim :args (@t27 @t26)) % 39.74/39.94 (step @p85 :rule cong :premises (@p84) :args (@t28)) % 39.74/39.94 (step @p86 :rule eq_resolve :premises (@p16 @p85)) % 39.74/39.94 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t42 tptp.one @t45))) % 39.74/39.94 (step @p88 :rule cnf_or_neg :args (@t48 1)) % 39.74/39.94 (step @p89 :rule chain_m_resolution :premises (@p88 @p32) :args ((not @t46) @t49 @t50)) % 39.74/39.94 (step @p90 :rule false_intro :premises (@p89)) % 39.74/39.94 (step @p91 :rule instantiate :premises (@p17) :args (@t55)) % 39.74/39.94 (step @p92 :rule symm :premises (@p91)) % 39.74/39.94 (step @p93 :rule instantiate :premises (@p1) :args ((@list @t74 @t73))) % 39.74/39.94 (step @p94 :rule symm :premises (@p93)) % 39.74/39.94 (step @p95 :rule instantiate :premises (@p51) :args ((@list @t74))) % 39.74/39.94 (step @p96 :rule symm :premises (@p95)) % 39.74/39.94 (step @p97 :rule refl :args (tptp.zero)) % 39.74/39.94 (step @p98 :rule cong :premises (@p92 @p97) :args ((tptp.multiplication (tptp.addition @t74 @t73) tptp.zero))) % 39.74/39.94 (step @p99 :rule eq-symm :args (@t19 tptp.zero)) % 39.74/39.94 (step @p100 :rule cong :premises (@p99) :args (@t20)) % 39.74/39.94 (step @p101 :rule eq_resolve :premises (@p10 @p100)) % 39.74/39.94 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t75))) % 39.74/39.94 (step @p103 :rule symm :premises (@p102)) % 39.74/39.94 (step @p104 :rule cong :premises (@p91 @p103) :args ((tptp.multiplication @t44 (tptp.multiplication tptp.zero @t75)))) % 39.74/39.94 (step @p105 :rule instantiate :premises (@p5) :args ((@list @t44 tptp.zero @t75))) % 39.74/39.94 (step @p106 :rule symm :premises (@p105)) % 39.74/39.94 (step @p107 :rule eq-symm :args (@t22 @t21)) % 39.74/39.94 (step @p108 :rule cong :premises (@p107) :args (@t23)) % 39.74/39.94 (step @p109 :rule eq_resolve :premises (@p11 @p108)) % 39.74/39.94 (step @p110 :rule instantiate :premises (@p109) :args ((@list tptp.zero))) % 39.74/39.94 (step @p111 :rule symm :premises (@p110)) % 39.74/39.94 (step @p112 :rule refl :args (tptp.one)) % 39.74/39.94 (step @p113 :rule cong :premises (@p112 @p102) :args ((tptp.addition tptp.one tptp.zero))) % 39.74/39.94 (step @p114 :rule eq-symm :args (@t7 @t1)) % 39.74/39.94 (step @p115 :rule cong :premises (@p114) :args (@t9)) % 39.74/39.94 (step @p116 :rule eq_resolve :premises (@p3 @p115)) % 39.74/39.94 (step @p117 :rule instantiate :premises (@p116) :args ((@list tptp.one))) % 39.74/39.94 (step @p118 :rule trans :premises (@p117 @p113 @p111)) % 39.74/39.94 (step @p119 :rule refl :args (@t73)) % 39.74/39.94 (step @p120 :rule cong :premises (@p119 @p118) :args (@t76)) % 39.74/39.94 (step @p121 :rule trans :premises (@p120 @p106 @p104 @p98)) % 39.74/39.94 (step @p122 :rule cong :premises (@p121 @p96) :args ((tptp.addition @t76 (tptp.multiplication @t74 tptp.one)))) % 39.74/39.94 (step @p123 :rule instantiate :premises (@p9) :args ((@list @t73 @t74 tptp.one))) % 39.74/39.94 (step @p124 :rule trans :premises (@p91 @p93)) % 39.74/39.94 (step @p125 :rule cong :premises (@p124 @p112) :args (@t77)) % 39.74/39.94 (step @p126 :rule trans :premises (@p125 @p123 @p122 @p94 @p92)) % 39.74/39.94 (step @p127 :rule refl :args (@t45)) % 39.74/39.94 (step @p128 :rule cong :premises (@p127 @p126) :args (@t78)) % 39.74/39.94 (step @p129 :rule trans :premises (@p128 @p90)) % 39.74/39.94 (step @p130 :rule false_elim :premises (@p129)) % 39.74/39.94 (step @p131 :rule cnf_or_pos :args (@t81)) % 39.74/39.94 (step @p132 :rule reordering :premises (@p131) :args ((or @t80 @t78 (not @t81)))) % 39.74/39.94 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p87) :args (@t80 @t82 (@list @t78 @t81))) % 39.74/39.94 (step @p134 :rule cnf_equiv_pos2 :args (@t84)) % 39.74/39.94 (step @p135 :rule reordering :premises (@p134) :args ((or @t79 @t85 (not @t84)))) % 39.74/39.94 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p83) :args (@t85 @t82 (@list @t79 @t84))) % 39.74/39.94 (step @p137 :rule instantiate :premises (@p2) :args ((@list @t86 @t45 @t45))) % 39.74/39.94 (step @p138 :rule refl :args (@t91)) % 39.74/39.94 (step @p139 :rule refl :args (@t95)) % 39.74/39.94 (step @p140 :rule refl :args (@t100)) % 39.74/39.94 (step @p141 :rule refl :args (@t103)) % 39.74/39.94 (step @p142 :rule refl :args (@t107)) % 39.74/39.94 (step @p143 :rule refl :args (@t110)) % 39.74/39.94 (step @p144 :rule refl :args (@t113)) % 39.74/39.94 (step @p145 :rule refl :args (@t114)) % 39.74/39.94 (step @p146 :rule refl :args (@t115)) % 39.74/39.94 (step @p147 :rule refl :args (@t119)) % 39.74/39.94 (step @p148 :rule refl :args (@t123)) % 39.74/39.94 (step @p149 :rule refl :args (@t126)) % 39.74/39.94 (step @p150 :rule bool-double-not-elim :args (@t83)) % 39.74/39.94 (step @p151 :rule refl :args (@t128)) % 39.74/39.94 (step @p152 :rule refl :args (@t131)) % 39.74/39.94 (step @p153 :rule refl :args (@t133)) % 39.74/39.94 (step @p154 :rule refl :args (@t135)) % 39.74/39.94 (step @p155 :rule refl :args (@t137)) % 39.74/39.94 (step @p156 :rule refl :args (@t139)) % 39.74/39.94 (step @p157 :rule refl :args (@t140)) % 39.74/39.94 (step @p158 :rule refl :args (@t142)) % 39.74/39.94 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138) :args ((or @t142 @t140 @t139 @t137 @t135 @t133 @t131 @t128 (not @t85) @t126 @t123 @t119 @t115 @t114 @t113 @t110 @t107 @t103 @t100 @t95 @t91))) % 39.74/39.94 (assume-push @p282 @t90) % 39.74/39.94 (assume-push @p283 @t91) % 39.74/39.94 (step @p162 :rule evaluate :args ((= false true))) % 39.74/39.94 (step @p163 :rule true_intro :premises (@p137)) % 39.74/39.94 (step @p164 :rule bool-eq-false :args (@t90)) % 39.74/39.94 (step @p165 :rule symm :premises (@p164)) % 39.74/39.94 (step @p166 :rule eq-symm :args (@t87 @t89)) % 39.74/39.94 (step @p167 :rule cong :premises (@p166) :args (@t144)) % 39.74/39.94 (step @p168 :rule bool-eq-false :args (@t143)) % 39.74/39.94 (step @p169 :rule trans :premises (@p168 @p167)) % 39.74/39.94 (step @p170 :rule trans :premises (@p169 @p165)) % 39.74/39.94 (step @p171 :rule false_intro :premises (@p136)) % 39.74/39.94 (step @p172 :rule symm :premises (@p42)) % 39.74/39.94 (step @p173 :rule cong :premises (@p172 @p127) :args (@t108)) % 39.74/39.94 (step @p174 :rule symm :premises (@p78)) % 39.74/39.94 (step @p175 :rule trans :premises (@p174 @p173)) % 39.74/39.94 (step @p176 :rule cong :premises (@p175 @p112) :args (@t105)) % 39.74/39.94 (step @p177 :rule symm :premises (@p54)) % 39.74/39.94 (step @p178 :rule refl :args (@t54)) % 39.74/39.94 (step @p179 :rule cong :premises (@p178 @p177) :args (@t117)) % 39.74/39.94 (step @p180 :rule symm :premises (@p57)) % 39.74/39.94 (step @p181 :rule symm :premises (@p47)) % 39.74/39.94 (step @p182 :rule refl :args (@t42)) % 39.74/39.94 (step @p183 :rule cong :premises (@p182 @p181) :args (@t67)) % 39.74/39.94 (step @p184 :rule refl :args (@t56)) % 39.74/39.94 (step @p185 :rule symm :premises (@p21)) % 39.74/39.94 (step @p186 :rule symm :premises (@p43)) % 39.74/39.94 (step @p187 :rule trans :premises (@p186 @p185)) % 39.74/39.94 (step @p188 :rule cong :premises (@p182 @p187) :args (@t121)) % 39.74/39.94 (step @p189 :rule symm :premises (@p56)) % 39.74/39.94 (step @p190 :rule refl :args (@t59)) % 39.74/39.94 (step @p191 :rule cong :premises (@p52 @p190) :args (@t92)) % 39.74/39.94 (step @p192 :rule trans :premises (@p191 @p189 @p188)) % 39.74/39.94 (step @p193 :rule cong :premises (@p192 @p184) :args (@t93)) % 39.74/39.94 (step @p194 :rule trans :premises (@p189 @p188)) % 39.74/39.94 (step @p195 :rule cong :premises (@p190 @p194) :args (@t98)) % 39.74/39.94 (step @p196 :rule symm :premises (@p81)) % 39.74/39.94 (step @p197 :rule cong :premises (@p182 @p21) :args (@t56)) % 39.74/39.94 (step @p198 :rule trans :premises (@p197 @p77)) % 39.74/39.94 (step @p199 :rule cong :premises (@p198 @p190) :args (@t145)) % 39.74/39.94 (step @p200 :rule cong :premises (@p194 @p190) :args (@t101)) % 39.74/39.94 (step @p62 :rule instantiate :premises (@p8) :args (@t62)) % 39.74/39.94 (step @p201 :rule cong :premises (@p48 @p127) :args (@t54)) % 39.74/39.94 (step @p202 :rule trans :premises (@p201 @p53)) % 39.74/39.94 (step @p203 :rule cong :premises (@p182 @p202) :args (@t59)) % 39.74/39.94 (step @p204 :rule trans :premises (@p203 @p62)) % 39.74/39.94 (step @p205 :rule refl :args (@t71)) % 39.74/39.94 (step @p206 :rule cong :premises (@p205 @p204) :args (@t97)) % 39.74/39.94 (step @p207 :rule symm :premises (@p188)) % 39.74/39.94 (step @p208 :rule trans :premises (@p207 @p56 @p206 @p80 @p200 @p199 @p196 @p195)) % 39.74/39.94 (step @p209 :rule cong :premises (@p182 @p208) :args (@t124)) % 39.74/39.94 (step @p210 :rule trans :premises (@p55 @p209 @p82 @p193 @p76 @p183)) % 39.74/39.94 (step @p211 :rule cong :premises (@p21 @p210) :args (@t88)) % 39.74/39.94 (step @p212 :rule trans :premises (@p211 @p180 @p179 @p79 @p176)) % 39.74/39.94 (step @p213 :rule cong :premises (@p127 @p212) :args (@t89)) % 39.74/39.94 (step @p214 :rule trans :premises (@p181 @p21)) % 39.74/39.94 (step @p215 :rule cong :premises (@p214 @p210) :args (@t87)) % 39.74/39.94 (step @p216 :rule trans :premises (@p215 @p180 @p179 @p79 @p176)) % 39.74/39.94 (step @p217 :rule cong :premises (@p216 @p213) :args (@t143)) % 39.74/39.94 (step @p218 :rule trans :premises (@p217 @p171)) % 39.74/39.94 (step @p219 :rule eq_resolve :premises (@p218 @p170)) % 39.74/39.94 (step @p220 :rule symm :premises (@p219)) % 39.74/39.94 (step @p221 :rule trans :premises (@p220 @p163)) % 39.74/39.94 (step @p222 false :rule eq_resolve :premises (@p221 @p162)) % 39.74/39.94 (step-pop @p284 :rule scope :premises (@p222)) % 39.74/39.94 (step-pop @p285 :rule scope :premises (@p284)) % 39.74/39.94 (step @p223 :rule process_scope :premises (@p285) :args (false)) % 39.74/39.94 (assume-push @p286 @t141) % 39.74/39.94 (assume-push @p287 @t52) % 39.74/39.94 (assume-push @p288 @t138) % 39.74/39.94 (assume-push @p289 @t136) % 39.74/39.94 (assume-push @p290 @t134) % 39.74/39.94 (assume-push @p291 @t132) % 39.74/39.94 (assume-push @p292 @t130) % 39.74/39.94 (assume-push @p293 @t127) % 39.74/39.94 (assume-push @p294 @t85) % 39.74/39.94 (assume-push @p295 @t125) % 39.74/39.94 (assume-push @p296 @t122) % 39.74/39.94 (assume-push @p297 @t118) % 39.74/39.94 (assume-push @p298 @t63) % 39.74/39.94 (assume-push @p299 @t70) % 39.74/39.94 (assume-push @p300 @t112) % 39.74/39.94 (assume-push @p301 @t109) % 39.74/39.94 (assume-push @p302 @t106) % 39.74/39.94 (assume-push @p303 @t102) % 39.74/39.94 (assume-push @p304 @t99) % 39.74/39.94 (assume-push @p305 @t94) % 39.74/39.94 (assume-push @p306 @t90) % 39.74/39.94 (step @p164 :rule bool-eq-false :args (@t90)) % 39.74/39.94 (step @p165 :rule symm :premises (@p164)) % 39.74/39.94 (step @p166 :rule eq-symm :args (@t87 @t89)) % 39.74/39.94 (step @p167 :rule cong :premises (@p166) :args (@t144)) % 39.74/39.94 (step @p168 :rule bool-eq-false :args (@t143)) % 39.74/39.94 (step @p169 :rule trans :premises (@p168 @p167)) % 39.74/39.94 (step @p170 :rule trans :premises (@p169 @p165)) % 39.74/39.94 (step @p171 :rule false_intro :premises (@p136)) % 39.74/39.94 (step @p172 :rule symm :premises (@p42)) % 39.74/39.94 (step @p173 :rule cong :premises (@p172 @p127) :args (@t108)) % 39.74/39.94 (step @p174 :rule symm :premises (@p78)) % 39.74/39.94 (step @p175 :rule trans :premises (@p174 @p173)) % 39.74/39.94 (step @p176 :rule cong :premises (@p175 @p112) :args (@t105)) % 39.74/39.94 (step @p177 :rule symm :premises (@p54)) % 39.74/39.94 (step @p178 :rule refl :args (@t54)) % 39.74/39.94 (step @p179 :rule cong :premises (@p178 @p177) :args (@t117)) % 39.74/39.94 (step @p180 :rule symm :premises (@p57)) % 39.74/39.94 (step @p181 :rule symm :premises (@p47)) % 39.74/39.94 (step @p182 :rule refl :args (@t42)) % 39.74/39.94 (step @p183 :rule cong :premises (@p182 @p181) :args (@t67)) % 39.74/39.94 (step @p184 :rule refl :args (@t56)) % 39.74/39.94 (step @p185 :rule symm :premises (@p21)) % 39.74/39.94 (step @p186 :rule symm :premises (@p43)) % 39.74/39.94 (step @p187 :rule trans :premises (@p186 @p185)) % 39.74/39.94 (step @p188 :rule cong :premises (@p182 @p187) :args (@t121)) % 39.74/39.94 (step @p189 :rule symm :premises (@p56)) % 39.74/39.94 (step @p190 :rule refl :args (@t59)) % 39.74/39.94 (step @p191 :rule cong :premises (@p52 @p190) :args (@t92)) % 39.74/39.94 (step @p192 :rule trans :premises (@p191 @p189 @p188)) % 39.74/39.94 (step @p193 :rule cong :premises (@p192 @p184) :args (@t93)) % 39.74/39.94 (step @p194 :rule trans :premises (@p189 @p188)) % 39.74/39.94 (step @p195 :rule cong :premises (@p190 @p194) :args (@t98)) % 39.74/39.94 (step @p196 :rule symm :premises (@p81)) % 39.74/39.94 (step @p197 :rule cong :premises (@p182 @p21) :args (@t56)) % 39.74/39.94 (step @p198 :rule trans :premises (@p197 @p77)) % 39.74/39.94 (step @p199 :rule cong :premises (@p198 @p190) :args (@t145)) % 39.74/39.94 (step @p200 :rule cong :premises (@p194 @p190) :args (@t101)) % 39.74/39.94 (step @p62 :rule instantiate :premises (@p8) :args (@t62)) % 39.74/39.94 (step @p201 :rule cong :premises (@p48 @p127) :args (@t54)) % 39.74/39.94 (step @p202 :rule trans :premises (@p201 @p53)) % 39.74/39.94 (step @p203 :rule cong :premises (@p182 @p202) :args (@t59)) % 39.74/39.94 (step @p204 :rule trans :premises (@p203 @p62)) % 39.74/39.94 (step @p205 :rule refl :args (@t71)) % 39.74/39.94 (step @p206 :rule cong :premises (@p205 @p204) :args (@t97)) % 39.74/39.94 (step @p207 :rule symm :premises (@p188)) % 39.74/39.94 (step @p208 :rule trans :premises (@p207 @p56 @p206 @p80 @p200 @p199 @p196 @p195)) % 39.74/39.94 (step @p209 :rule cong :premises (@p182 @p208) :args (@t124)) % 39.74/39.94 (step @p210 :rule trans :premises (@p55 @p209 @p82 @p193 @p76 @p183)) % 39.74/39.94 (step @p211 :rule cong :premises (@p21 @p210) :args (@t88)) % 39.74/39.94 (step @p212 :rule trans :premises (@p211 @p180 @p179 @p79 @p176)) % 39.74/39.94 (step @p213 :rule cong :premises (@p127 @p212) :args (@t89)) % 39.74/39.94 (step @p214 :rule trans :premises (@p181 @p21)) % 39.74/39.94 (step @p215 :rule cong :premises (@p214 @p210) :args (@t87)) % 39.74/39.94 (step @p216 :rule trans :premises (@p215 @p180 @p179 @p79 @p176)) % 39.74/39.94 (step @p217 :rule cong :premises (@p216 @p213) :args (@t143)) % 39.74/39.94 (step @p218 :rule trans :premises (@p217 @p171)) % 39.74/39.94 (step @p247 :rule eq_resolve :premises (@p218 @p170)) % 39.74/39.94 (step @p248 :rule false_elim :premises (@p247)) % 39.74/39.94 (step @p249 :rule and_intro :premises (@p137 @p248)) % 39.74/39.94 (step-pop @p307 :rule scope :premises (@p249)) % 39.74/39.94 (step-pop @p308 :rule scope :premises (@p307)) % 39.74/39.94 (step-pop @p309 :rule scope :premises (@p308)) % 39.74/39.94 (step-pop @p310 :rule scope :premises (@p309)) % 39.74/39.94 (step-pop @p311 :rule scope :premises (@p310)) % 39.74/39.94 (step-pop @p312 :rule scope :premises (@p311)) % 39.74/39.94 (step-pop @p313 :rule scope :premises (@p312)) % 39.74/39.94 (step-pop @p314 :rule scope :premises (@p313)) % 39.74/39.94 (step-pop @p315 :rule scope :premises (@p314)) % 39.74/39.94 (step-pop @p316 :rule scope :premises (@p315)) % 39.74/39.94 (step-pop @p317 :rule scope :premises (@p316)) % 39.74/39.94 (step-pop @p318 :rule scope :premises (@p317)) % 39.74/39.94 (step-pop @p319 :rule scope :premises (@p318)) % 39.74/39.94 (step-pop @p320 :rule scope :premises (@p319)) % 39.74/39.94 (step-pop @p321 :rule scope :premises (@p320)) % 39.74/39.94 (step-pop @p322 :rule scope :premises (@p321)) % 39.74/39.94 (step-pop @p323 :rule scope :premises (@p322)) % 39.74/39.94 (step-pop @p324 :rule scope :premises (@p323)) % 39.74/39.94 (step-pop @p325 :rule scope :premises (@p324)) % 39.74/39.94 (step-pop @p326 :rule scope :premises (@p325)) % 39.74/39.94 (step-pop @p327 :rule scope :premises (@p326)) % 39.74/39.94 (step @p250 :rule process_scope :premises (@p327) :args (@t146)) % 39.74/39.94 (step @p272 :rule implies_elim :premises (@p250)) % 39.74/39.94 (step @p273 :rule resolution :premises (@p272 @p223) :args (true @t146)) % 39.74/39.94 (step @p274 :rule not_and :premises (@p273)) % 39.74/39.94 (step @p275 :rule eq_resolve :premises (@p274 @p159)) % 39.74/39.94 (step @p276 :rule reordering :premises (@p275) :args ((or @t142 @t140 @t139 @t137 @t135 @t133 @t131 @t83 @t128 @t126 @t123 @t119 @t115 @t114 @t113 @t110 @t107 @t103 @t100 @t95 @t91))) % 39.74/39.94 (step @p277 false :rule chain_m_resolution :premises (@p276 @p137 @p136 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p67 @p57 @p56 @p55 @p54 @p53 @p52 @p48 @p47 @p43 @p42 @p21) :args (false (@list false true false false false false false false false false false false false false false false false false false false false) (@list @t90 @t83 @t94 @t99 @t102 @t106 @t109 @t112 @t70 @t63 @t118 @t122 @t125 @t127 @t130 @t132 @t134 @t136 @t138 @t52 @t141))) % 39.74/39.94 ) % 39.74/39.94 % SZS output end Proof % 39.74/39.94 % cvc5 exiting %------------------------------------------------------------------------------