%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE071+1 : 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 : n001.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 08:28:15 AM UTC 2026 % Result : Theorem 19.84s 20.05s % Output : Proof 19.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE071+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.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 05:13:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 19.84/20.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.84/20.05 --- Run --no-e-matching --full-saturate-quant at 6... % 19.84/20.05 % SZS status Theorem % 19.84/20.05 % SZS output start Proof % 19.84/20.05 ( % 19.84/20.05 (declare-sort $$unsorted 0) % 19.84/20.05 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 19.84/20.05 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 19.84/20.05 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 19.84/20.05 (declare-const tptp.zero $$unsorted) % 19.84/20.05 (declare-const tptp.one $$unsorted) % 19.84/20.05 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 19.84/20.05 (define @t1 () (@var "A" $$unsorted)) % 19.84/20.05 (define @t2 () (@var "B" $$unsorted)) % 19.84/20.05 (define @t3 () (tptp.addition @t1 @t2)) % 19.84/20.05 (define @t4 () (@list @t1 @t2)) % 19.84/20.05 (define @t5 () (@var "C" $$unsorted)) % 19.84/20.05 (define @t6 () (tptp.addition @t2 @t5)) % 19.84/20.05 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 19.84/20.05 (define @t8 () (tptp.addition @t1 tptp.zero)) % 19.84/20.05 (define @t9 () (@list @t1)) % 19.84/20.05 (define @t10 () (forall @t9 (= @t8 @t1))) % 19.84/20.05 (define @t11 () (tptp.multiplication @t1 @t2)) % 19.84/20.05 (define @t12 () (tptp.multiplication @t2 @t5)) % 19.84/20.05 (define @t13 () (@list @t1 @t2 @t5)) % 19.84/20.05 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 19.84/20.05 (define @t15 () (forall @t9 (= @t14 @t1))) % 19.84/20.05 (define @t16 () (tptp.multiplication tptp.one @t1)) % 19.84/20.05 (define @t17 () (forall @t9 (= @t16 @t1))) % 19.84/20.05 (define @t18 () (tptp.multiplication @t1 @t5)) % 19.84/20.05 (define @t19 () (@var "X0" $$unsorted)) % 19.84/20.05 (define @t20 () (tptp.domain @t19)) % 19.84/20.05 (define @t21 () (tptp.multiplication @t20 @t19)) % 19.84/20.05 (define @t22 () (tptp.addition @t19 @t21)) % 19.84/20.05 (define @t23 () (@list @t19)) % 19.84/20.05 (define @t24 () (forall @t23 (= @t22 @t21))) % 19.84/20.05 (define @t25 () (@var "X1" $$unsorted)) % 19.84/20.05 (define @t26 () (tptp.domain @t25)) % 19.84/20.05 (define @t27 () (@list @t19 @t25)) % 19.84/20.05 (define @t28 () (tptp.addition @t20 tptp.one)) % 19.84/20.05 (define @t29 () (forall @t23 (= @t28 tptp.one))) % 19.84/20.05 (define @t30 () (tptp.addition @t20 @t26)) % 19.84/20.05 (define @t31 () (@var "X2" $$unsorted)) % 19.84/20.05 (define @t32 () (tptp.domain @t31)) % 19.84/20.05 (define @t33 () (forall (@list @t19 @t25 @t31) (= (tptp.addition @t20 (tptp.multiplication @t26 @t32)) (tptp.multiplication @t30 (tptp.addition @t20 @t32))))) % 19.84/20.05 (define @t34 () (@quantifiers_skolemize @t33 0)) % 19.84/20.05 (define @t35 () (@list @t34)) % 19.84/20.05 (define @t36 () (@quantifiers_skolemize @t33 1)) % 19.84/20.05 (define @t37 () (@quantifiers_skolemize @t33 2)) % 19.84/20.05 (define @t38 () (tptp.domain @t34)) % 19.84/20.05 (define @t39 () (@list @t38)) % 19.84/20.05 (define @t40 () (tptp.domain @t36)) % 19.84/20.05 (define @t41 () (tptp.domain @t37)) % 19.84/20.05 (define @t42 () (tptp.addition @t38 @t40)) % 19.84/20.05 (define @t43 () (tptp.multiplication @t40 @t41)) % 19.84/20.05 (define @t44 () (tptp.domain @t38)) % 19.84/20.05 (define @t45 () (tptp.multiplication @t38 @t44)) % 19.84/20.05 (define @t46 () (tptp.addition @t38 @t43)) % 19.84/20.05 (define @t47 () (tptp.addition @t38 (tptp.addition @t43 @t40))) % 19.84/20.05 (define @t48 () (tptp.addition @t46 @t40)) % 19.84/20.05 (define @t49 () (= @t47 @t48)) % 19.84/20.05 (define @t50 () (= @t48 @t47)) % 19.84/20.05 (define @t51 () (tptp.multiplication @t42 @t41)) % 19.84/20.05 (define @t52 () (tptp.multiplication @t46 @t41)) % 19.84/20.05 (define @t53 () (tptp.addition @t52 @t43)) % 19.84/20.05 (define @t54 () (tptp.addition @t53 @t38)) % 19.84/20.05 (define @t55 () (tptp.addition @t43 @t38)) % 19.84/20.05 (define @t56 () (tptp.addition @t52 @t55)) % 19.84/20.05 (define @t57 () (= @t56 @t54)) % 19.84/20.05 (define @t58 () (not @t57)) % 19.84/20.05 (define @t59 () (tptp.multiplication @t46 tptp.one)) % 19.84/20.05 (define @t60 () (tptp.addition @t41 tptp.one)) % 19.84/20.05 (define @t61 () (tptp.multiplication @t46 @t60)) % 19.84/20.05 (define @t62 () (= @t61 (tptp.addition @t52 @t59))) % 19.84/20.05 (define @t63 () (not @t62)) % 19.84/20.05 (define @t64 () (tptp.addition @t38 @t51)) % 19.84/20.05 (define @t65 () (= @t64 (tptp.addition @t51 @t38))) % 19.84/20.05 (define @t66 () (not @t65)) % 19.84/20.05 (define @t67 () (tptp.multiplication @t48 @t41)) % 19.84/20.05 (define @t68 () (= @t67 @t53)) % 19.84/20.05 (define @t69 () (not @t68)) % 19.84/20.05 (define @t70 () (not @t50)) % 19.84/20.05 (define @t71 () (tptp.multiplication @t38 @t38)) % 19.84/20.05 (define @t72 () (tptp.multiplication @t40 @t38)) % 19.84/20.05 (define @t73 () (tptp.addition @t40 @t38)) % 19.84/20.05 (define @t74 () (tptp.multiplication @t73 @t38)) % 19.84/20.05 (define @t75 () (= @t74 (tptp.addition @t72 @t71))) % 19.84/20.05 (define @t76 () (not @t75)) % 19.84/20.05 (define @t77 () (tptp.multiplication tptp.one @t38)) % 19.84/20.05 (define @t78 () (tptp.addition @t72 @t77)) % 19.84/20.05 (define @t79 () (tptp.addition @t40 tptp.one)) % 19.84/20.05 (define @t80 () (= (tptp.multiplication @t79 @t38) @t78)) % 19.84/20.05 (define @t81 () (not @t80)) % 19.84/20.05 (define @t82 () (tptp.multiplication @t40 tptp.one)) % 19.84/20.05 (define @t83 () (tptp.addition @t43 @t82)) % 19.84/20.05 (define @t84 () (= (tptp.multiplication @t40 @t60) @t83)) % 19.84/20.05 (define @t85 () (not @t84)) % 19.84/20.05 (define @t86 () (= @t46 @t59)) % 19.84/20.05 (define @t87 () (not @t86)) % 19.84/20.05 (define @t88 () (tptp.addition tptp.one @t38)) % 19.84/20.05 (define @t89 () (tptp.multiplication @t88 @t38)) % 19.84/20.05 (define @t90 () (= @t89 (tptp.addition @t77 @t71))) % 19.84/20.05 (define @t91 () (not @t90)) % 19.84/20.05 (define @t92 () (tptp.multiplication tptp.one @t45)) % 19.84/20.05 (define @t93 () (= @t45 @t92)) % 19.84/20.05 (define @t94 () (not @t93)) % 19.84/20.05 (define @t95 () (tptp.addition @t38 tptp.one)) % 19.84/20.05 (define @t96 () (= @t95 @t88)) % 19.84/20.05 (define @t97 () (not @t96)) % 19.84/20.05 (define @t98 () (= @t46 @t55)) % 19.84/20.05 (define @t99 () (not @t98)) % 19.84/20.05 (define @t100 () (= @t42 @t73)) % 19.84/20.05 (define @t101 () (not @t100)) % 19.84/20.05 (define @t102 () (tptp.multiplication @t42 (tptp.addition @t38 @t41))) % 19.84/20.05 (define @t103 () (= @t102 (tptp.addition (tptp.multiplication @t42 @t38) @t51))) % 19.84/20.05 (define @t104 () (not @t103)) % 19.84/20.05 (define @t105 () (= @t40 @t82)) % 19.84/20.05 (define @t106 () (not @t105)) % 19.84/20.05 (define @t107 () (tptp.multiplication tptp.one @t34)) % 19.84/20.05 (define @t108 () (tptp.domain @t107)) % 19.84/20.05 (define @t109 () (= @t108 (tptp.domain @t77))) % 19.84/20.05 (define @t110 () (not @t109)) % 19.84/20.05 (define @t111 () (tptp.multiplication @t44 @t38)) % 19.84/20.05 (define @t112 () (tptp.addition @t38 @t111)) % 19.84/20.05 (define @t113 () (= @t111 @t112)) % 19.84/20.05 (define @t114 () (not @t113)) % 19.84/20.05 (define @t115 () (= @t38 @t77)) % 19.84/20.05 (define @t116 () (not @t115)) % 19.84/20.05 (define @t117 () (= tptp.one @t60)) % 19.84/20.05 (define @t118 () (not @t117)) % 19.84/20.05 (define @t119 () (= tptp.one @t79)) % 19.84/20.05 (define @t120 () (not @t119)) % 19.84/20.05 (define @t121 () (= tptp.one @t95)) % 19.84/20.05 (define @t122 () (not @t121)) % 19.84/20.05 (define @t123 () (= @t34 @t107)) % 19.84/20.05 (define @t124 () (not @t123)) % 19.84/20.05 (define @t125 () (tptp.addition @t34 tptp.zero)) % 19.84/20.05 (define @t126 () (= @t34 @t125)) % 19.84/20.05 (define @t127 () (not @t126)) % 19.84/20.05 (define @t128 () (tptp.addition tptp.zero @t34)) % 19.84/20.05 (define @t129 () (= @t128 @t125)) % 19.84/20.05 (define @t130 () (not @t129)) % 19.84/20.05 (define @t131 () (= @t46 @t102)) % 19.84/20.05 (define @t132 () (not @t131)) % 19.84/20.05 (define @t133 () (tptp.domain @t128)) % 19.84/20.05 (define @t134 () (and @t57 @t58)) % 19.84/20.05 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 19.84/20.05 (assume @p2 @t7) % 19.84/20.05 (assume @p3 @t10) % 19.84/20.05 (assume @p4 (forall @t9 (= (tptp.addition @t1 @t1) @t1))) % 19.84/20.05 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5)))) % 19.84/20.05 (assume @p6 @t15) % 19.84/20.05 (assume @p7 @t17) % 19.84/20.05 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t18)))) % 19.84/20.05 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t18 @t12)))) % 19.84/20.05 (assume @p10 (forall @t9 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 19.84/20.05 (assume @p11 (forall @t9 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 19.84/20.05 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 19.84/20.05 (assume @p13 @t24) % 19.84/20.05 (assume @p14 (forall @t27 (= (tptp.domain (tptp.multiplication @t19 @t25)) (tptp.domain (tptp.multiplication @t19 @t26))))) % 19.84/20.05 (assume @p15 @t29) % 19.84/20.05 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 19.84/20.05 (assume @p17 (forall @t27 (= (tptp.domain (tptp.addition @t19 @t25)) @t30))) % 19.84/20.05 (assume @p18 (not @t33)) % 19.84/20.05 (assume @p19 true) % 19.84/20.05 (step @p20 :rule skolemize :premises (@p18)) % 19.84/20.05 (step @p21 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t34))) % 19.84/20.05 (step @p22 :rule eq-symm :args (@t8 @t1)) % 19.84/20.05 (step @p23 :rule cong :premises (@p22) :args (@t10)) % 19.84/20.05 (step @p24 :rule eq_resolve :premises (@p3 @p23)) % 19.84/20.05 (step @p25 :rule instantiate :premises (@p24) :args (@t35)) % 19.84/20.05 (step @p26 :rule eq-symm :args (@t16 @t1)) % 19.84/20.05 (step @p27 :rule cong :premises (@p26) :args (@t17)) % 19.84/20.05 (step @p28 :rule eq_resolve :premises (@p7 @p27)) % 19.84/20.05 (step @p29 :rule instantiate :premises (@p28) :args (@t35)) % 19.84/20.05 (step @p30 :rule eq-symm :args (@t28 tptp.one)) % 19.84/20.05 (step @p31 :rule cong :premises (@p30) :args (@t29)) % 19.84/20.05 (step @p32 :rule eq_resolve :premises (@p15 @p31)) % 19.84/20.05 (step @p33 :rule instantiate :premises (@p32) :args (@t35)) % 19.84/20.05 (step @p34 :rule instantiate :premises (@p32) :args ((@list @t36))) % 19.84/20.05 (step @p35 :rule instantiate :premises (@p32) :args ((@list @t37))) % 19.84/20.05 (step @p36 :rule instantiate :premises (@p28) :args (@t39)) % 19.84/20.05 (step @p37 :rule eq-symm :args (@t22 @t21)) % 19.84/20.05 (step @p38 :rule cong :premises (@p37) :args (@t24)) % 19.84/20.05 (step @p39 :rule eq_resolve :premises (@p13 @p38)) % 19.84/20.05 (step @p40 :rule instantiate :premises (@p39) :args (@t39)) % 19.84/20.05 (step @p41 :rule instantiate :premises (@p14) :args ((@list tptp.one @t34))) % 19.84/20.05 (step @p42 :rule eq-symm :args (@t14 @t1)) % 19.84/20.05 (step @p43 :rule cong :premises (@p42) :args (@t15)) % 19.84/20.05 (step @p44 :rule eq_resolve :premises (@p6 @p43)) % 19.84/20.05 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t40))) % 19.84/20.05 (step @p46 :rule instantiate :premises (@p8) :args ((@list @t42 @t38 @t41))) % 19.84/20.05 (step @p47 :rule instantiate :premises (@p1) :args ((@list @t38 @t40))) % 19.84/20.05 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t38 @t43))) % 19.84/20.05 (step @p49 :rule instantiate :premises (@p1) :args ((@list @t38 tptp.one))) % 19.84/20.05 (step @p50 :rule instantiate :premises (@p28) :args ((@list @t45))) % 19.84/20.05 (step @p51 :rule instantiate :premises (@p9) :args ((@list tptp.one @t38 @t38))) % 19.84/20.05 (step @p52 :rule instantiate :premises (@p44) :args ((@list @t46))) % 19.84/20.05 (step @p53 :rule instantiate :premises (@p8) :args ((@list @t40 @t41 tptp.one))) % 19.84/20.05 (step @p54 :rule instantiate :premises (@p9) :args ((@list @t40 tptp.one @t38))) % 19.84/20.05 (step @p55 :rule instantiate :premises (@p9) :args ((@list @t40 @t38 @t38))) % 19.84/20.05 (step @p56 :rule eq-symm :args (@t47 @t48)) % 19.84/20.05 (step @p57 :rule refl :args (@t7)) % 19.84/20.05 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t7 @t49))) % 19.84/20.05 (assume-push @p238 @t7) % 19.84/20.05 (step @p60 :rule instantiate :premises (@p2) :args ((@list @t40 @t43 @t38))) % 19.84/20.05 (step-pop @p239 :rule scope :premises (@p60)) % 19.84/20.05 (step @p61 :rule process_scope :premises (@p239) :args (@t49)) % 19.84/20.05 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 19.84/20.05 (step @p64 :rule implies_elim :premises (@p63)) % 19.84/20.05 (step @p65 :rule chain_m_resolution :premises (@p64 @p2) :args (@t50 (@list false) (@list @t7))) % 19.84/20.05 (step @p66 :rule instantiate :premises (@p9) :args ((@list @t46 @t40 @t41))) % 19.84/20.05 (step @p67 :rule instantiate :premises (@p1) :args ((@list @t38 @t51))) % 19.84/20.05 (step @p68 :rule instantiate :premises (@p8) :args ((@list @t46 @t41 tptp.one))) % 19.84/20.05 (step @p69 :rule instantiate :premises (@p2) :args ((@list @t38 @t43 @t52))) % 19.84/20.05 (step @p70 :rule refl :args (@t58)) % 19.84/20.05 (step @p71 :rule refl :args (@t63)) % 19.84/20.05 (step @p72 :rule refl :args (@t66)) % 19.84/20.05 (step @p73 :rule refl :args (@t69)) % 19.84/20.05 (step @p74 :rule refl :args (@t70)) % 19.84/20.05 (step @p75 :rule refl :args (@t76)) % 19.84/20.05 (step @p76 :rule refl :args (@t81)) % 19.84/20.05 (step @p77 :rule refl :args (@t85)) % 19.84/20.05 (step @p78 :rule refl :args (@t87)) % 19.84/20.05 (step @p79 :rule refl :args (@t91)) % 19.84/20.05 (step @p80 :rule refl :args (@t94)) % 19.84/20.05 (step @p81 :rule refl :args (@t97)) % 19.84/20.05 (step @p82 :rule refl :args (@t99)) % 19.84/20.05 (step @p83 :rule refl :args (@t101)) % 19.84/20.05 (step @p84 :rule refl :args (@t104)) % 19.84/20.05 (step @p85 :rule refl :args (@t106)) % 19.84/20.05 (step @p86 :rule refl :args (@t110)) % 19.84/20.05 (step @p87 :rule refl :args (@t114)) % 19.84/20.05 (step @p88 :rule refl :args (@t116)) % 19.84/20.05 (step @p89 :rule refl :args (@t118)) % 19.84/20.05 (step @p90 :rule refl :args (@t120)) % 19.84/20.05 (step @p91 :rule refl :args (@t122)) % 19.84/20.05 (step @p92 :rule refl :args (@t124)) % 19.84/20.05 (step @p93 :rule refl :args (@t127)) % 19.84/20.05 (step @p94 :rule refl :args (@t130)) % 19.84/20.05 (step @p95 :rule bool-double-not-elim :args (@t131)) % 19.84/20.05 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70) :args ((or (not @t132) @t130 @t127 @t124 @t122 @t120 @t118 @t116 @t114 @t110 @t106 @t104 @t101 @t99 @t97 @t94 @t91 @t87 @t85 @t81 @t76 @t70 @t69 @t66 @t63 @t58))) % 19.84/20.05 (assume-push @p240 @t57) % 19.84/20.05 (assume-push @p241 @t58) % 19.84/20.05 (step @p99 :rule evaluate :args ((= false true))) % 19.84/20.05 (step @p100 :rule true_intro :premises (@p69)) % 19.84/20.05 (step @p101 :rule false_intro :premises (@p20)) % 19.84/20.05 (step @p102 :rule symm :premises (@p46)) % 19.84/20.05 (step @p103 :rule refl :args (@t51)) % 19.84/20.05 (step @p104 :rule refl :args (@t38)) % 19.84/20.05 (step @p105 :rule symm :premises (@p47)) % 19.84/20.05 (step @p106 :rule cong :premises (@p105 @p104) :args (@t74)) % 19.84/20.05 (step @p107 :rule symm :premises (@p55)) % 19.84/20.05 (step @p108 :rule symm :premises (@p25)) % 19.84/20.05 (step @p109 :rule trans :premises (@p21 @p108)) % 19.84/20.05 (step @p110 :rule cong :premises (@p109) :args (@t133)) % 19.84/20.05 (step @p111 :rule symm :premises (@p21)) % 19.84/20.05 (step @p112 :rule symm :premises (@p29)) % 19.84/20.05 (step @p113 :rule trans :premises (@p112 @p25 @p111)) % 19.84/20.05 (step @p114 :rule cong :premises (@p113) :args (@t108)) % 19.84/20.05 (step @p115 :rule symm :premises (@p41)) % 19.84/20.05 (step @p116 :rule cong :premises (@p36) :args (@t44)) % 19.84/20.05 (step @p117 :rule trans :premises (@p116 @p115 @p114 @p110)) % 19.84/20.05 (step @p118 :rule cong :premises (@p117 @p104) :args (@t111)) % 19.84/20.05 (step @p119 :rule symm :premises (@p40)) % 19.84/20.05 (step @p120 :rule cong :premises (@p36 @p118) :args (@t112)) % 19.84/20.05 (step @p121 :rule symm :premises (@p120)) % 19.84/20.05 (step @p122 :rule symm :premises (@p33)) % 19.84/20.05 (step @p123 :rule symm :premises (@p49)) % 19.84/20.05 (step @p124 :rule trans :premises (@p123 @p122)) % 19.84/20.05 (step @p125 :rule cong :premises (@p124 @p104) :args (@t89)) % 19.84/20.05 (step @p126 :rule symm :premises (@p125)) % 19.84/20.05 (step @p127 :rule trans :premises (@p126 @p51 @p121 @p119 @p118)) % 19.84/20.05 (step @p128 :rule refl :args (@t72)) % 19.84/20.05 (step @p129 :rule cong :premises (@p128 @p127) :args (@t78)) % 19.84/20.05 (step @p130 :rule symm :premises (@p36)) % 19.84/20.05 (step @p131 :rule symm :premises (@p51)) % 19.84/20.05 (step @p132 :rule symm :premises (@p117)) % 19.84/20.05 (step @p133 :rule cong :premises (@p132 @p117) :args (@t45)) % 19.84/20.05 (step @p134 :rule trans :premises (@p133 @p40 @p120 @p131 @p125 @p130)) % 19.84/20.05 (step @p135 :rule cong :premises (@p34 @p134) :args (@t92)) % 19.84/20.05 (step @p136 :rule symm :premises (@p133)) % 19.84/20.05 (step @p137 :rule symm :premises (@p118)) % 19.84/20.05 (step @p138 :rule trans :premises (@p137 @p136 @p50 @p135 @p54 @p129 @p107 @p106)) % 19.84/20.05 (step @p139 :rule trans :premises (@p137 @p40 @p120 @p131 @p125 @p130)) % 19.84/20.05 (step @p140 :rule symm :premises (@p139)) % 19.84/20.05 (step @p141 :rule trans :premises (@p140 @p138)) % 19.84/20.05 (step @p142 :rule cong :premises (@p141 @p103) :args (@t64)) % 19.84/20.05 (step @p143 :rule symm :premises (@p67)) % 19.84/20.05 (step @p144 :rule refl :args (@t41)) % 19.84/20.05 (step @p145 :rule symm :premises (@p45)) % 19.84/20.05 (step @p146 :rule refl :args (@t43)) % 19.84/20.05 (step @p147 :rule cong :premises (@p146 @p145) :args (@t83)) % 19.84/20.05 (step @p148 :rule refl :args (@t40)) % 19.84/20.05 (step @p149 :rule cong :premises (@p148 @p35) :args (@t82)) % 19.84/20.05 (step @p150 :rule trans :premises (@p45 @p149 @p53 @p147)) % 19.84/20.05 (step @p151 :rule cong :premises (@p104 @p150) :args (@t42)) % 19.84/20.05 (step @p152 :rule symm :premises (@p151)) % 19.84/20.05 (step @p153 :rule trans :premises (@p65 @p152)) % 19.84/20.05 (step @p154 :rule cong :premises (@p153 @p144) :args (@t67)) % 19.84/20.05 (step @p155 :rule symm :premises (@p66)) % 19.84/20.05 (step @p156 :rule trans :premises (@p155 @p154)) % 19.84/20.05 (step @p157 :rule cong :premises (@p156 @p104) :args (@t54)) % 19.84/20.05 (step @p158 :rule trans :premises (@p157 @p143 @p142 @p102)) % 19.84/20.05 (step @p159 :rule symm :premises (@p52)) % 19.84/20.05 (step @p160 :rule symm :premises (@p35)) % 19.84/20.05 (step @p161 :rule refl :args (@t46)) % 19.84/20.05 (step @p162 :rule cong :premises (@p161 @p160) :args (@t61)) % 19.84/20.05 (step @p163 :rule symm :premises (@p68)) % 19.84/20.05 (step @p164 :rule symm :premises (@p48)) % 19.84/20.05 (step @p165 :rule trans :premises (@p164 @p52)) % 19.84/20.05 (step @p166 :rule refl :args (@t52)) % 19.84/20.05 (step @p167 :rule cong :premises (@p166 @p165) :args (@t56)) % 19.84/20.05 (step @p168 :rule trans :premises (@p167 @p163 @p162 @p159)) % 19.84/20.05 (step @p169 :rule cong :premises (@p168 @p158) :args (@t57)) % 19.84/20.05 (step @p170 :rule trans :premises (@p169 @p101)) % 19.84/20.05 (step @p171 :rule symm :premises (@p170)) % 19.84/20.05 (step @p172 :rule trans :premises (@p171 @p100)) % 19.84/20.05 (step @p173 false :rule eq_resolve :premises (@p172 @p99)) % 19.84/20.05 (step-pop @p242 :rule scope :premises (@p173)) % 19.84/20.05 (step-pop @p243 :rule scope :premises (@p242)) % 19.84/20.05 (step @p174 :rule process_scope :premises (@p243) :args (false)) % 19.84/20.05 (assume-push @p244 @t132) % 19.84/20.05 (assume-push @p245 @t129) % 19.84/20.05 (assume-push @p246 @t126) % 19.84/20.05 (assume-push @p247 @t123) % 19.84/20.05 (assume-push @p248 @t121) % 19.84/20.05 (assume-push @p249 @t119) % 19.84/20.05 (assume-push @p250 @t117) % 19.84/20.05 (assume-push @p251 @t115) % 19.84/20.05 (assume-push @p252 @t113) % 19.84/20.05 (assume-push @p253 @t109) % 19.84/20.05 (assume-push @p254 @t105) % 19.84/20.05 (assume-push @p255 @t103) % 19.84/20.05 (assume-push @p256 @t100) % 19.84/20.05 (assume-push @p257 @t98) % 19.84/20.05 (assume-push @p258 @t96) % 19.84/20.05 (assume-push @p259 @t93) % 19.84/20.05 (assume-push @p260 @t90) % 19.84/20.05 (assume-push @p261 @t86) % 19.84/20.05 (assume-push @p262 @t84) % 19.84/20.05 (assume-push @p263 @t80) % 19.84/20.05 (assume-push @p264 @t75) % 19.84/20.05 (assume-push @p265 @t50) % 19.84/20.05 (assume-push @p266 @t68) % 19.84/20.05 (assume-push @p267 @t65) % 19.84/20.05 (assume-push @p268 @t62) % 19.84/20.05 (assume-push @p269 @t57) % 19.84/20.05 (step @p101 :rule false_intro :premises (@p20)) % 19.84/20.05 (step @p102 :rule symm :premises (@p46)) % 19.84/20.05 (step @p103 :rule refl :args (@t51)) % 19.84/20.05 (step @p104 :rule refl :args (@t38)) % 19.84/20.05 (step @p105 :rule symm :premises (@p47)) % 19.84/20.05 (step @p106 :rule cong :premises (@p105 @p104) :args (@t74)) % 19.84/20.05 (step @p107 :rule symm :premises (@p55)) % 19.84/20.05 (step @p108 :rule symm :premises (@p25)) % 19.84/20.05 (step @p109 :rule trans :premises (@p21 @p108)) % 19.84/20.05 (step @p110 :rule cong :premises (@p109) :args (@t133)) % 19.84/20.05 (step @p111 :rule symm :premises (@p21)) % 19.84/20.05 (step @p112 :rule symm :premises (@p29)) % 19.84/20.05 (step @p113 :rule trans :premises (@p112 @p25 @p111)) % 19.84/20.05 (step @p114 :rule cong :premises (@p113) :args (@t108)) % 19.84/20.05 (step @p115 :rule symm :premises (@p41)) % 19.84/20.05 (step @p116 :rule cong :premises (@p36) :args (@t44)) % 19.84/20.05 (step @p117 :rule trans :premises (@p116 @p115 @p114 @p110)) % 19.84/20.05 (step @p118 :rule cong :premises (@p117 @p104) :args (@t111)) % 19.84/20.05 (step @p119 :rule symm :premises (@p40)) % 19.84/20.05 (step @p120 :rule cong :premises (@p36 @p118) :args (@t112)) % 19.84/20.05 (step @p121 :rule symm :premises (@p120)) % 19.84/20.05 (step @p122 :rule symm :premises (@p33)) % 19.84/20.05 (step @p123 :rule symm :premises (@p49)) % 19.84/20.05 (step @p124 :rule trans :premises (@p123 @p122)) % 19.84/20.05 (step @p125 :rule cong :premises (@p124 @p104) :args (@t89)) % 19.84/20.05 (step @p126 :rule symm :premises (@p125)) % 19.84/20.05 (step @p127 :rule trans :premises (@p126 @p51 @p121 @p119 @p118)) % 19.84/20.05 (step @p128 :rule refl :args (@t72)) % 19.84/20.05 (step @p129 :rule cong :premises (@p128 @p127) :args (@t78)) % 19.84/20.05 (step @p130 :rule symm :premises (@p36)) % 19.84/20.05 (step @p131 :rule symm :premises (@p51)) % 19.84/20.05 (step @p132 :rule symm :premises (@p117)) % 19.84/20.05 (step @p133 :rule cong :premises (@p132 @p117) :args (@t45)) % 19.84/20.05 (step @p134 :rule trans :premises (@p133 @p40 @p120 @p131 @p125 @p130)) % 19.84/20.05 (step @p135 :rule cong :premises (@p34 @p134) :args (@t92)) % 19.84/20.05 (step @p136 :rule symm :premises (@p133)) % 19.84/20.05 (step @p137 :rule symm :premises (@p118)) % 19.84/20.05 (step @p138 :rule trans :premises (@p137 @p136 @p50 @p135 @p54 @p129 @p107 @p106)) % 19.84/20.05 (step @p139 :rule trans :premises (@p137 @p40 @p120 @p131 @p125 @p130)) % 19.84/20.05 (step @p140 :rule symm :premises (@p139)) % 19.84/20.05 (step @p141 :rule trans :premises (@p140 @p138)) % 19.84/20.05 (step @p142 :rule cong :premises (@p141 @p103) :args (@t64)) % 19.84/20.05 (step @p143 :rule symm :premises (@p67)) % 19.84/20.05 (step @p144 :rule refl :args (@t41)) % 19.84/20.05 (step @p145 :rule symm :premises (@p45)) % 19.84/20.05 (step @p146 :rule refl :args (@t43)) % 19.84/20.05 (step @p147 :rule cong :premises (@p146 @p145) :args (@t83)) % 19.84/20.05 (step @p148 :rule refl :args (@t40)) % 19.84/20.05 (step @p149 :rule cong :premises (@p148 @p35) :args (@t82)) % 19.84/20.05 (step @p150 :rule trans :premises (@p45 @p149 @p53 @p147)) % 19.84/20.05 (step @p151 :rule cong :premises (@p104 @p150) :args (@t42)) % 19.84/20.05 (step @p152 :rule symm :premises (@p151)) % 19.84/20.05 (step @p153 :rule trans :premises (@p65 @p152)) % 19.84/20.05 (step @p154 :rule cong :premises (@p153 @p144) :args (@t67)) % 19.84/20.05 (step @p155 :rule symm :premises (@p66)) % 19.84/20.05 (step @p156 :rule trans :premises (@p155 @p154)) % 19.84/20.05 (step @p157 :rule cong :premises (@p156 @p104) :args (@t54)) % 19.84/20.05 (step @p158 :rule trans :premises (@p157 @p143 @p142 @p102)) % 19.84/20.05 (step @p159 :rule symm :premises (@p52)) % 19.84/20.05 (step @p160 :rule symm :premises (@p35)) % 19.84/20.05 (step @p161 :rule refl :args (@t46)) % 19.84/20.05 (step @p162 :rule cong :premises (@p161 @p160) :args (@t61)) % 19.84/20.05 (step @p163 :rule symm :premises (@p68)) % 19.84/20.05 (step @p164 :rule symm :premises (@p48)) % 19.84/20.05 (step @p165 :rule trans :premises (@p164 @p52)) % 19.84/20.05 (step @p166 :rule refl :args (@t52)) % 19.84/20.05 (step @p167 :rule cong :premises (@p166 @p165) :args (@t56)) % 19.84/20.05 (step @p168 :rule trans :premises (@p167 @p163 @p162 @p159)) % 19.84/20.05 (step @p169 :rule cong :premises (@p168 @p158) :args (@t57)) % 19.84/20.05 (step @p203 :rule trans :premises (@p169 @p101)) % 19.84/20.05 (step @p204 :rule false_elim :premises (@p203)) % 19.84/20.05 (step @p205 :rule and_intro :premises (@p69 @p204)) % 19.84/20.05 (step-pop @p270 :rule scope :premises (@p205)) % 19.84/20.05 (step-pop @p271 :rule scope :premises (@p270)) % 19.84/20.05 (step-pop @p272 :rule scope :premises (@p271)) % 19.84/20.05 (step-pop @p273 :rule scope :premises (@p272)) % 19.84/20.05 (step-pop @p274 :rule scope :premises (@p273)) % 19.84/20.05 (step-pop @p275 :rule scope :premises (@p274)) % 19.84/20.05 (step-pop @p276 :rule scope :premises (@p275)) % 19.84/20.05 (step-pop @p277 :rule scope :premises (@p276)) % 19.84/20.05 (step-pop @p278 :rule scope :premises (@p277)) % 19.84/20.05 (step-pop @p279 :rule scope :premises (@p278)) % 19.84/20.05 (step-pop @p280 :rule scope :premises (@p279)) % 19.84/20.05 (step-pop @p281 :rule scope :premises (@p280)) % 19.84/20.05 (step-pop @p282 :rule scope :premises (@p281)) % 19.84/20.05 (step-pop @p283 :rule scope :premises (@p282)) % 19.84/20.05 (step-pop @p284 :rule scope :premises (@p283)) % 19.84/20.05 (step-pop @p285 :rule scope :premises (@p284)) % 19.84/20.05 (step-pop @p286 :rule scope :premises (@p285)) % 19.84/20.06 (step-pop @p287 :rule scope :premises (@p286)) % 19.84/20.06 (step-pop @p288 :rule scope :premises (@p287)) % 19.84/20.06 (step-pop @p289 :rule scope :premises (@p288)) % 19.84/20.06 (step-pop @p290 :rule scope :premises (@p289)) % 19.84/20.06 (step-pop @p291 :rule scope :premises (@p290)) % 19.84/20.06 (step-pop @p292 :rule scope :premises (@p291)) % 19.84/20.06 (step-pop @p293 :rule scope :premises (@p292)) % 19.84/20.06 (step-pop @p294 :rule scope :premises (@p293)) % 19.84/20.06 (step-pop @p295 :rule scope :premises (@p294)) % 19.84/20.06 (step @p206 :rule process_scope :premises (@p295) :args (@t134)) % 19.84/20.06 (step @p233 :rule implies_elim :premises (@p206)) % 19.84/20.06 (step @p234 :rule resolution :premises (@p233 @p174) :args (true @t134)) % 19.84/20.06 (step @p235 :rule not_and :premises (@p234)) % 19.84/20.06 (step @p236 :rule eq_resolve :premises (@p235 @p96)) % 19.84/20.06 (step @p237 false :rule chain_m_resolution :premises (@p236 @p69 @p68 @p67 @p66 @p65 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p41 @p40 @p36 @p35 @p34 @p33 @p29 @p25 @p21 @p20) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t57 @t62 @t65 @t68 @t50 @t75 @t80 @t84 @t86 @t90 @t93 @t96 @t98 @t100 @t103 @t105 @t109 @t113 @t115 @t117 @t119 @t121 @t123 @t126 @t129 @t131))) % 19.84/20.06 ) % 19.84/20.06 % SZS output end Proof % 19.84/20.06 % cvc5 exiting %------------------------------------------------------------------------------