%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE160+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 : n003.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 08:28:25 AM UTC 2026 % Result : Theorem 34.02s 34.20s % Output : Proof 34.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE160+1 : 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 % 0.16/0.34 % Computer : n003.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 06:05:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 34.02/34.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.02/34.20 --- Run --no-e-matching --full-saturate-quant at 6... % 34.02/34.20 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.02/34.20 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.02/34.20 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.02/34.20 % SZS status Theorem % 34.02/34.20 % SZS output start Proof % 34.02/34.20 ( % 34.02/34.20 (declare-sort $$unsorted 0) % 34.02/34.20 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 34.02/34.20 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 34.02/34.20 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.02/34.20 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.20 (declare-const tptp.zero $$unsorted) % 34.02/34.20 (declare-const tptp.one $$unsorted) % 34.02/34.20 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.20 (define @t1 () (@var "A" $$unsorted)) % 34.02/34.20 (define @t2 () (@var "B" $$unsorted)) % 34.02/34.20 (define @t3 () (tptp.addition @t1 @t2)) % 34.02/34.20 (define @t4 () (@list @t1 @t2)) % 34.02/34.20 (define @t5 () (@var "C" $$unsorted)) % 34.02/34.20 (define @t6 () (tptp.addition @t2 @t5)) % 34.02/34.20 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 34.02/34.20 (define @t8 () (@list @t1)) % 34.02/34.20 (define @t9 () (tptp.addition @t1 @t1)) % 34.02/34.20 (define @t10 () (forall @t8 (= @t9 @t1))) % 34.02/34.20 (define @t11 () (tptp.multiplication @t1 @t2)) % 34.02/34.20 (define @t12 () (tptp.multiplication @t2 @t5)) % 34.02/34.20 (define @t13 () (@list @t1 @t2 @t5)) % 34.02/34.20 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 34.02/34.20 (define @t15 () (forall @t8 (= @t14 @t1))) % 34.02/34.20 (define @t16 () (tptp.multiplication tptp.one @t1)) % 34.02/34.20 (define @t17 () (forall @t8 (= @t16 @t1))) % 34.02/34.20 (define @t18 () (tptp.multiplication @t1 @t5)) % 34.02/34.20 (define @t19 () (tptp.star @t1)) % 34.02/34.20 (define @t20 () (tptp.addition tptp.one (tptp.multiplication @t1 @t19))) % 34.02/34.20 (define @t21 () (forall @t8 (= @t20 @t19))) % 34.02/34.20 (define @t22 () (tptp.addition tptp.one (tptp.multiplication @t19 @t1))) % 34.02/34.20 (define @t23 () (forall @t8 (= @t22 @t19))) % 34.02/34.20 (define @t24 () (tptp.leq (tptp.multiplication @t19 @t2) @t5)) % 34.02/34.20 (define @t25 () (tptp.addition @t18 @t2)) % 34.02/34.20 (define @t26 () (tptp.leq @t25 @t5)) % 34.02/34.20 (define @t27 () (forall @t13 (=> @t26 @t24))) % 34.02/34.20 (define @t28 () (tptp.strong_iteration @t1)) % 34.02/34.20 (define @t29 () (tptp.leq @t1 @t2)) % 34.02/34.20 (define @t30 () (= @t29 (= @t3 @t2))) % 34.02/34.20 (define @t31 () (forall @t4 @t30)) % 34.02/34.20 (define @t32 () (@var "X2" $$unsorted)) % 34.02/34.20 (define @t33 () (@var "X1" $$unsorted)) % 34.02/34.20 (define @t34 () (@var "X0" $$unsorted)) % 34.02/34.20 (define @t35 () (tptp.leq (tptp.multiplication (tptp.star @t34) @t33) (tptp.multiplication @t33 (tptp.star @t32)))) % 34.02/34.20 (define @t36 () (tptp.leq (tptp.multiplication @t34 @t33) (tptp.multiplication @t33 @t32))) % 34.02/34.20 (define @t37 () (@list @t34 @t33 @t32)) % 34.02/34.20 (define @t38 () (forall @t37 (=> @t36 @t35))) % 34.02/34.20 (define @t39 () (not @t38)) % 34.02/34.20 (define @t40 () (forall @t37 (or (not @t36) @t35))) % 34.02/34.20 (define @t41 () (@quantifiers_skolemize @t40 2)) % 34.02/34.20 (define @t42 () (@list @t41)) % 34.02/34.20 (define @t43 () (@quantifiers_skolemize @t40 1)) % 34.02/34.20 (define @t44 () (tptp.multiplication @t43 @t41)) % 34.02/34.20 (define @t45 () (@quantifiers_skolemize @t40 0)) % 34.02/34.20 (define @t46 () (tptp.multiplication @t45 @t43)) % 34.02/34.20 (define @t47 () (tptp.leq @t46 @t44)) % 34.02/34.20 (define @t48 () (tptp.star @t41)) % 34.02/34.20 (define @t49 () (tptp.multiplication @t43 @t48)) % 34.02/34.20 (define @t50 () (tptp.leq (tptp.multiplication (tptp.star @t45) @t43) @t49)) % 34.02/34.20 (define @t51 () (not @t47)) % 34.02/34.20 (define @t52 () (or @t51 @t50)) % 34.02/34.20 (define @t53 () (@list true)) % 34.02/34.20 (define @t54 () (@list @t52)) % 34.02/34.20 (define @t55 () (tptp.addition @t46 @t44)) % 34.02/34.20 (define @t56 () (= @t44 @t55)) % 34.02/34.20 (define @t57 () (= @t47 @t56)) % 34.02/34.20 (define @t58 () (tptp.multiplication @t48 @t41)) % 34.02/34.20 (define @t59 () (tptp.multiplication @t45 @t49)) % 34.02/34.20 (define @t60 () (tptp.addition @t59 @t43)) % 34.02/34.20 (define @t61 () (tptp.leq @t60 @t49)) % 34.02/34.20 (define @t62 () (not @t61)) % 34.02/34.20 (define @t63 () (or @t62 @t50)) % 34.02/34.20 (define @t64 () (@list true false)) % 34.02/34.20 (define @t65 () (tptp.addition @t60 @t49)) % 34.02/34.20 (define @t66 () (= @t49 @t65)) % 34.02/34.20 (define @t67 () (= @t61 @t66)) % 34.02/34.20 (define @t68 () (not @t66)) % 34.02/34.20 (define @t69 () (@list @t43)) % 34.02/34.20 (define @t70 () (tptp.multiplication @t43 @t58)) % 34.02/34.20 (define @t71 () (tptp.multiplication @t43 tptp.one)) % 34.02/34.20 (define @t72 () (tptp.addition @t59 (tptp.addition @t43 @t49))) % 34.02/34.20 (define @t73 () (= @t72 @t65)) % 34.02/34.20 (define @t74 () (@list @t49 @t43 @t59)) % 34.02/34.20 (define @t75 () (= @t65 @t72)) % 34.02/34.20 (define @t76 () (tptp.multiplication @t41 @t48)) % 34.02/34.20 (define @t77 () (tptp.addition @t59 @t70)) % 34.02/34.20 (define @t78 () (tptp.addition @t77 @t71)) % 34.02/34.20 (define @t79 () (tptp.addition @t70 @t71)) % 34.02/34.20 (define @t80 () (tptp.addition @t59 @t79)) % 34.02/34.20 (define @t81 () (= @t80 @t78)) % 34.02/34.20 (define @t82 () (not @t81)) % 34.02/34.20 (define @t83 () (tptp.multiplication @t44 @t48)) % 34.02/34.20 (define @t84 () (tptp.multiplication @t46 @t48)) % 34.02/34.20 (define @t85 () (tptp.multiplication @t55 @t48)) % 34.02/34.20 (define @t86 () (= @t85 (tptp.addition @t84 @t83))) % 34.02/34.20 (define @t87 () (not @t86)) % 34.02/34.20 (define @t88 () (tptp.multiplication @t43 @t76)) % 34.02/34.20 (define @t89 () (= @t88 @t83)) % 34.02/34.20 (define @t90 () (not @t89)) % 34.02/34.20 (define @t91 () (tptp.multiplication @t76 @t41)) % 34.02/34.20 (define @t92 () (tptp.multiplication tptp.one @t41)) % 34.02/34.20 (define @t93 () (tptp.addition tptp.one @t76)) % 34.02/34.20 (define @t94 () (tptp.multiplication @t93 @t41)) % 34.02/34.20 (define @t95 () (= @t94 (tptp.addition @t92 @t91))) % 34.02/34.20 (define @t96 () (not @t95)) % 34.02/34.20 (define @t97 () (tptp.multiplication @t41 @t58)) % 34.02/34.20 (define @t98 () (= @t97 @t91)) % 34.02/34.20 (define @t99 () (not @t98)) % 34.02/34.20 (define @t100 () (tptp.addition @t43 @t43)) % 34.02/34.20 (define @t101 () (= @t43 @t100)) % 34.02/34.20 (define @t102 () (not @t101)) % 34.02/34.20 (define @t103 () (not @t75)) % 34.02/34.20 (define @t104 () (tptp.addition @t71 @t70)) % 34.02/34.20 (define @t105 () (tptp.addition @t71 @t104)) % 34.02/34.20 (define @t106 () (= @t105 (tptp.addition (tptp.addition @t71 @t71) @t70))) % 34.02/34.20 (define @t107 () (not @t106)) % 34.02/34.20 (define @t108 () (= @t104 @t79)) % 34.02/34.20 (define @t109 () (not @t108)) % 34.02/34.20 (define @t110 () (= @t41 @t92)) % 34.02/34.20 (define @t111 () (not @t110)) % 34.02/34.20 (define @t112 () (tptp.multiplication @t41 tptp.one)) % 34.02/34.20 (define @t113 () (= @t41 @t112)) % 34.02/34.20 (define @t114 () (not @t113)) % 34.02/34.20 (define @t115 () (= @t43 @t71)) % 34.02/34.20 (define @t116 () (not @t115)) % 34.02/34.20 (define @t117 () (tptp.addition @t112 @t97)) % 34.02/34.20 (define @t118 () (tptp.addition tptp.one @t58)) % 34.02/34.20 (define @t119 () (= (tptp.multiplication @t41 @t118) @t117)) % 34.02/34.20 (define @t120 () (not @t119)) % 34.02/34.20 (define @t121 () (tptp.multiplication @t43 @t118)) % 34.02/34.20 (define @t122 () (= @t121 @t104)) % 34.02/34.20 (define @t123 () (not @t122)) % 34.02/34.20 (define @t124 () (= @t59 @t84)) % 34.02/34.20 (define @t125 () (not @t124)) % 34.02/34.20 (define @t126 () (not @t56)) % 34.02/34.20 (define @t127 () (= @t48 @t118)) % 34.02/34.20 (define @t128 () (not @t127)) % 34.02/34.20 (define @t129 () (= @t48 @t93)) % 34.02/34.20 (define @t130 () (not @t129)) % 34.02/34.20 (define @t131 () (= @t78 @t80)) % 34.02/34.20 (define @t132 () (not @t131)) % 34.02/34.20 (define @t133 () (and @t81 @t82)) % 34.02/34.20 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 34.02/34.20 (assume @p2 @t7) % 34.02/34.20 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 34.02/34.20 (assume @p4 @t10) % 34.02/34.20 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5)))) % 34.02/34.20 (assume @p6 @t15) % 34.02/34.20 (assume @p7 @t17) % 34.02/34.20 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t18)))) % 34.02/34.20 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t18 @t12)))) % 34.02/34.20 (assume @p10 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 34.02/34.20 (assume @p11 @t21) % 34.02/34.20 (assume @p12 @t23) % 34.02/34.20 (assume @p13 @t27) % 34.02/34.20 (assume @p14 (forall @t13 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t19) @t5)))) % 34.02/34.20 (assume @p15 (forall @t8 (= @t28 (tptp.addition (tptp.multiplication @t1 @t28) tptp.one)))) % 34.02/34.20 (assume @p16 (forall @t13 (=> (tptp.leq @t5 @t25) (tptp.leq @t5 (tptp.multiplication @t28 @t2))))) % 34.02/34.20 (assume @p17 (forall @t8 (= @t28 (tptp.addition @t19 (tptp.multiplication @t28 tptp.zero))))) % 34.02/34.20 (assume @p18 @t31) % 34.02/34.20 (assume @p19 @t39) % 34.02/34.20 (assume @p20 true) % 34.02/34.20 (step @p21 :rule eq-symm :args (@t20 @t19)) % 34.02/34.20 (step @p22 :rule cong :premises (@p21) :args (@t21)) % 34.02/34.20 (step @p23 :rule eq_resolve :premises (@p11 @p22)) % 34.02/34.20 (step @p24 :rule instantiate :premises (@p23) :args (@t42)) % 34.02/34.20 (step @p25 :rule eq-symm :args (@t22 @t19)) % 34.02/34.20 (step @p26 :rule cong :premises (@p25) :args (@t23)) % 34.02/34.20 (step @p27 :rule eq_resolve :premises (@p12 @p26)) % 34.02/34.20 (step @p28 :rule instantiate :premises (@p27) :args (@t42)) % 34.02/34.20 (step @p29 :rule eq-symm :args (@t3 @t2)) % 34.02/34.20 (step @p30 :rule refl :args (@t29)) % 34.02/34.20 (step @p31 :rule cong :premises (@p30 @p29) :args (@t30)) % 34.02/34.20 (step @p32 :rule cong :premises (@p31) :args (@t31)) % 34.02/34.20 (step @p33 :rule eq_resolve :premises (@p18 @p32)) % 34.02/34.20 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t46 @t44))) % 34.02/34.20 (step @p35 :rule bool-impl-elim :args (@t36 @t35)) % 34.02/34.20 (step @p36 :rule cong :premises (@p35) :args (@t38)) % 34.02/34.20 (step @p37 :rule cong :premises (@p36) :args (@t39)) % 34.02/34.20 (step @p38 :rule eq_resolve :premises (@p19 @p37)) % 34.02/34.20 (step @p39 :rule skolemize :premises (@p38)) % 34.02/34.20 (step @p40 :rule bool-double-not-elim :args (@t47)) % 34.02/34.20 (step @p41 :rule refl :args (@t52)) % 34.02/34.20 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t52 (not @t51)))) % 34.02/34.20 (step @p43 :rule cnf_or_neg :args (@t52 0)) % 34.02/34.20 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 34.02/34.20 (step @p45 :rule reordering :premises (@p44) :args ((or @t47 @t52))) % 34.02/34.20 (step @p46 :rule chain_m_resolution :premises (@p45 @p39) :args (@t47 @t53 @t54)) % 34.02/34.20 (step @p47 :rule cnf_equiv_pos1 :args (@t57)) % 34.02/34.20 (step @p48 :rule reordering :premises (@p47) :args ((or @t51 @t56 (not @t57)))) % 34.02/34.20 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p34) :args (@t56 (@list false false) (@list @t47 @t57))) % 34.02/34.20 (step @p50 :rule instantiate :premises (@p5) :args ((@list @t45 @t43 @t48))) % 34.02/34.20 (step @p51 :rule instantiate :premises (@p8) :args ((@list @t43 tptp.one @t58))) % 34.02/34.20 (step @p52 :rule instantiate :premises (@p8) :args ((@list @t41 tptp.one @t58))) % 34.02/34.20 (step @p53 :rule instantiate :premises (@p33) :args ((@list @t60 @t49))) % 34.02/34.20 (step @p54 :rule bool-impl-elim :args (@t26 @t24)) % 34.02/34.20 (step @p55 :rule cong :premises (@p54) :args (@t27)) % 34.02/34.20 (step @p56 :rule eq_resolve :premises (@p13 @p55)) % 34.02/34.20 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t45 @t43 @t49))) % 34.02/34.20 (step @p58 :rule cnf_or_neg :args (@t52 1)) % 34.02/34.20 (step @p59 :rule chain_m_resolution :premises (@p58 @p39) :args ((not @t50) @t53 @t54)) % 34.02/34.20 (step @p60 :rule cnf_or_pos :args (@t63)) % 34.02/34.20 (step @p61 :rule reordering :premises (@p60) :args ((or @t50 @t62 (not @t63)))) % 34.02/34.20 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p57) :args (@t62 @t64 (@list @t50 @t63))) % 34.02/34.20 (step @p63 :rule cnf_equiv_pos2 :args (@t67)) % 34.02/34.20 (step @p64 :rule reordering :premises (@p63) :args ((or @t61 @t68 (not @t67)))) % 34.02/34.20 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p53) :args (@t68 @t64 (@list @t61 @t67))) % 34.02/34.20 (step @p66 :rule eq-symm :args (@t14 @t1)) % 34.02/34.20 (step @p67 :rule cong :premises (@p66) :args (@t15)) % 34.02/34.20 (step @p68 :rule eq_resolve :premises (@p6 @p67)) % 34.02/34.20 (step @p69 :rule instantiate :premises (@p68) :args (@t69)) % 34.02/34.20 (step @p70 :rule instantiate :premises (@p68) :args (@t42)) % 34.02/34.20 (step @p71 :rule eq-symm :args (@t16 @t1)) % 34.02/34.20 (step @p72 :rule cong :premises (@p71) :args (@t17)) % 34.02/34.20 (step @p73 :rule eq_resolve :premises (@p7 @p72)) % 34.02/34.20 (step @p74 :rule instantiate :premises (@p73) :args (@t42)) % 34.02/34.20 (step @p75 :rule instantiate :premises (@p1) :args ((@list @t71 @t70))) % 34.02/34.20 (step @p76 :rule instantiate :premises (@p2) :args ((@list @t70 @t71 @t71))) % 34.02/34.20 (step @p77 :rule eq-symm :args (@t72 @t65)) % 34.02/34.20 (step @p78 :rule refl :args (@t7)) % 34.02/34.20 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t7 @t73))) % 34.02/34.20 (assume-push @p225 @t7) % 34.02/34.20 (step @p81 :rule instantiate :premises (@p2) :args (@t74)) % 34.02/34.20 (step-pop @p226 :rule scope :premises (@p81)) % 34.02/34.20 (step @p82 :rule process_scope :premises (@p226) :args (@t73)) % 34.02/34.20 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 34.02/34.20 (step @p85 :rule implies_elim :premises (@p84)) % 34.02/34.20 (step @p86 :rule chain_m_resolution :premises (@p85 @p2) :args (@t75 (@list false) (@list @t7))) % 34.02/34.20 (step @p87 :rule eq-symm :args (@t9 @t1)) % 34.02/34.20 (step @p88 :rule cong :premises (@p87) :args (@t10)) % 34.02/34.20 (step @p89 :rule eq_resolve :premises (@p4 @p88)) % 34.02/34.20 (step @p90 :rule instantiate :premises (@p89) :args (@t69)) % 34.02/34.20 (step @p91 :rule instantiate :premises (@p5) :args ((@list @t41 @t48 @t41))) % 34.02/34.20 (step @p92 :rule instantiate :premises (@p9) :args ((@list tptp.one @t76 @t41))) % 34.02/34.20 (step @p93 :rule instantiate :premises (@p5) :args ((@list @t43 @t41 @t48))) % 34.02/34.20 (step @p94 :rule instantiate :premises (@p9) :args ((@list @t46 @t44 @t48))) % 34.02/34.20 (step @p95 :rule instantiate :premises (@p2) :args ((@list @t71 @t70 @t59))) % 34.02/34.20 (step @p96 :rule refl :args (@t82)) % 34.02/34.20 (step @p97 :rule refl :args (@t87)) % 34.02/34.20 (step @p98 :rule refl :args (@t90)) % 34.02/34.20 (step @p99 :rule refl :args (@t96)) % 34.02/34.20 (step @p100 :rule refl :args (@t99)) % 34.02/34.20 (step @p101 :rule refl :args (@t102)) % 34.02/34.20 (step @p102 :rule refl :args (@t103)) % 34.02/34.20 (step @p103 :rule refl :args (@t107)) % 34.02/34.20 (step @p104 :rule refl :args (@t109)) % 34.02/34.20 (step @p105 :rule refl :args (@t111)) % 34.02/34.20 (step @p106 :rule refl :args (@t114)) % 34.02/34.20 (step @p107 :rule refl :args (@t116)) % 34.02/34.20 (step @p108 :rule bool-double-not-elim :args (@t66)) % 34.02/34.20 (step @p109 :rule refl :args (@t120)) % 34.02/34.20 (step @p110 :rule refl :args (@t123)) % 34.02/34.20 (step @p111 :rule refl :args (@t125)) % 34.02/34.20 (step @p112 :rule refl :args (@t126)) % 34.02/34.20 (step @p113 :rule refl :args (@t128)) % 34.02/34.20 (step @p114 :rule refl :args (@t130)) % 34.02/34.20 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96) :args ((or @t130 @t128 @t126 @t125 @t123 @t120 (not @t68) @t116 @t114 @t111 @t109 @t107 @t103 @t102 @t99 @t96 @t90 @t87 @t82))) % 34.02/34.20 (assume-push @p227 @t81) % 34.02/34.20 (assume-push @p228 @t82) % 34.02/34.20 (step @p118 :rule evaluate :args ((= false true))) % 34.02/34.20 (step @p119 :rule true_intro :premises (@p95)) % 34.02/34.20 (step @p120 :rule bool-eq-false :args (@t81)) % 34.02/34.20 (step @p121 :rule symm :premises (@p120)) % 34.02/34.20 (step @p122 :rule eq-symm :args (@t78 @t80)) % 34.02/34.20 (step @p123 :rule cong :premises (@p122) :args (@t132)) % 34.02/34.20 (step @p124 :rule bool-eq-false :args (@t131)) % 34.02/34.20 (step @p125 :rule trans :premises (@p124 @p123)) % 34.02/34.20 (step @p126 :rule trans :premises (@p125 @p121)) % 34.02/34.20 (step @p127 :rule false_intro :premises (@p65)) % 34.02/34.20 (step @p81 :rule instantiate :premises (@p2) :args (@t74)) % 34.02/34.20 (step @p128 :rule symm :premises (@p28)) % 34.02/34.20 (step @p129 :rule refl :args (@t43)) % 34.02/34.20 (step @p130 :rule cong :premises (@p129 @p128) :args (@t121)) % 34.02/34.20 (step @p131 :rule symm :premises (@p51)) % 34.02/34.20 (step @p132 :rule trans :premises (@p131 @p130)) % 34.02/34.20 (step @p133 :rule symm :premises (@p69)) % 34.02/34.20 (step @p134 :rule cong :premises (@p133 @p132) :args (@t105)) % 34.02/34.20 (step @p135 :rule symm :premises (@p76)) % 34.02/34.20 (step @p136 :rule refl :args (@t70)) % 34.02/34.20 (step @p137 :rule cong :premises (@p69 @p69) :args (@t100)) % 34.02/34.20 (step @p138 :rule trans :premises (@p90 @p137)) % 34.02/34.20 (step @p139 :rule trans :premises (@p133 @p138)) % 34.02/34.20 (step @p140 :rule cong :premises (@p139 @p136) :args (@t104)) % 34.02/34.20 (step @p141 :rule symm :premises (@p75)) % 34.02/34.20 (step @p142 :rule trans :premises (@p141 @p140 @p135 @p134)) % 34.02/34.20 (step @p143 :rule refl :args (@t59)) % 34.02/34.20 (step @p144 :rule cong :premises (@p143 @p142) :args (@t80)) % 34.02/34.20 (step @p145 :rule trans :premises (@p144 @p81)) % 34.02/34.20 (step @p146 :rule refl :args (@t71)) % 34.02/34.20 (step @p147 :rule refl :args (@t41)) % 34.02/34.20 (step @p148 :rule symm :premises (@p24)) % 34.02/34.20 (step @p149 :rule cong :premises (@p148 @p147) :args (@t94)) % 34.02/34.20 (step @p150 :rule symm :premises (@p92)) % 34.02/34.20 (step @p151 :rule symm :premises (@p70)) % 34.02/34.20 (step @p152 :rule trans :premises (@p151 @p74)) % 34.02/34.20 (step @p153 :rule cong :premises (@p152 @p91) :args (@t117)) % 34.02/34.20 (step @p154 :rule cong :premises (@p147 @p28) :args (@t76)) % 34.02/34.20 (step @p155 :rule trans :premises (@p154 @p52 @p153 @p150 @p149)) % 34.02/34.20 (step @p156 :rule cong :premises (@p129 @p155) :args (@t88)) % 34.02/34.20 (step @p157 :rule symm :premises (@p93)) % 34.02/34.20 (step @p158 :rule refl :args (@t48)) % 34.02/34.20 (step @p159 :rule symm :premises (@p49)) % 34.02/34.20 (step @p160 :rule cong :premises (@p159 @p158) :args (@t85)) % 34.02/34.20 (step @p161 :rule symm :premises (@p94)) % 34.02/34.20 (step @p162 :rule symm :premises (@p156)) % 34.02/34.20 (step @p163 :rule trans :premises (@p162 @p93)) % 34.02/34.20 (step @p164 :rule cong :premises (@p50 @p163) :args (@t77)) % 34.02/34.20 (step @p165 :rule trans :premises (@p164 @p161 @p160 @p157 @p156)) % 34.02/34.20 (step @p166 :rule cong :premises (@p165 @p146) :args (@t78)) % 34.02/34.20 (step @p167 :rule trans :premises (@p166 @p141 @p131 @p130)) % 34.02/34.20 (step @p168 :rule cong :premises (@p167 @p145) :args (@t131)) % 34.02/34.20 (step @p169 :rule trans :premises (@p168 @p127)) % 34.02/34.20 (step @p170 :rule eq_resolve :premises (@p169 @p126)) % 34.02/34.20 (step @p171 :rule symm :premises (@p170)) % 34.02/34.20 (step @p172 :rule trans :premises (@p171 @p119)) % 34.02/34.20 (step @p173 false :rule eq_resolve :premises (@p172 @p118)) % 34.02/34.20 (step-pop @p229 :rule scope :premises (@p173)) % 34.02/34.20 (step-pop @p230 :rule scope :premises (@p229)) % 34.02/34.20 (step @p174 :rule process_scope :premises (@p230) :args (false)) % 34.02/34.20 (assume-push @p231 @t129) % 34.02/34.20 (assume-push @p232 @t127) % 34.02/34.20 (assume-push @p233 @t56) % 34.02/34.20 (assume-push @p234 @t124) % 34.02/34.20 (assume-push @p235 @t122) % 34.02/34.20 (assume-push @p236 @t119) % 34.02/34.20 (assume-push @p237 @t68) % 34.02/34.20 (assume-push @p238 @t115) % 34.02/34.20 (assume-push @p239 @t113) % 34.02/34.20 (assume-push @p240 @t110) % 34.02/34.20 (assume-push @p241 @t108) % 34.02/34.20 (assume-push @p242 @t106) % 34.02/34.20 (assume-push @p243 @t75) % 34.02/34.20 (assume-push @p244 @t101) % 34.02/34.20 (assume-push @p245 @t98) % 34.02/34.20 (assume-push @p246 @t95) % 34.02/34.20 (assume-push @p247 @t89) % 34.02/34.20 (assume-push @p248 @t86) % 34.02/34.20 (assume-push @p249 @t81) % 34.02/34.20 (step @p120 :rule bool-eq-false :args (@t81)) % 34.02/34.20 (step @p121 :rule symm :premises (@p120)) % 34.02/34.20 (step @p122 :rule eq-symm :args (@t78 @t80)) % 34.02/34.20 (step @p123 :rule cong :premises (@p122) :args (@t132)) % 34.02/34.20 (step @p124 :rule bool-eq-false :args (@t131)) % 34.02/34.20 (step @p125 :rule trans :premises (@p124 @p123)) % 34.02/34.20 (step @p126 :rule trans :premises (@p125 @p121)) % 34.02/34.20 (step @p127 :rule false_intro :premises (@p65)) % 34.02/34.20 (step @p81 :rule instantiate :premises (@p2) :args (@t74)) % 34.02/34.20 (step @p128 :rule symm :premises (@p28)) % 34.02/34.20 (step @p129 :rule refl :args (@t43)) % 34.02/34.20 (step @p130 :rule cong :premises (@p129 @p128) :args (@t121)) % 34.02/34.20 (step @p131 :rule symm :premises (@p51)) % 34.02/34.20 (step @p132 :rule trans :premises (@p131 @p130)) % 34.02/34.20 (step @p133 :rule symm :premises (@p69)) % 34.02/34.20 (step @p134 :rule cong :premises (@p133 @p132) :args (@t105)) % 34.02/34.20 (step @p135 :rule symm :premises (@p76)) % 34.02/34.20 (step @p136 :rule refl :args (@t70)) % 34.02/34.20 (step @p137 :rule cong :premises (@p69 @p69) :args (@t100)) % 34.02/34.20 (step @p138 :rule trans :premises (@p90 @p137)) % 34.02/34.20 (step @p139 :rule trans :premises (@p133 @p138)) % 34.02/34.20 (step @p140 :rule cong :premises (@p139 @p136) :args (@t104)) % 34.02/34.20 (step @p141 :rule symm :premises (@p75)) % 34.02/34.20 (step @p142 :rule trans :premises (@p141 @p140 @p135 @p134)) % 34.02/34.20 (step @p143 :rule refl :args (@t59)) % 34.02/34.20 (step @p144 :rule cong :premises (@p143 @p142) :args (@t80)) % 34.02/34.20 (step @p145 :rule trans :premises (@p144 @p81)) % 34.02/34.20 (step @p146 :rule refl :args (@t71)) % 34.02/34.20 (step @p147 :rule refl :args (@t41)) % 34.02/34.20 (step @p148 :rule symm :premises (@p24)) % 34.02/34.20 (step @p149 :rule cong :premises (@p148 @p147) :args (@t94)) % 34.02/34.20 (step @p150 :rule symm :premises (@p92)) % 34.02/34.20 (step @p151 :rule symm :premises (@p70)) % 34.02/34.20 (step @p152 :rule trans :premises (@p151 @p74)) % 34.02/34.20 (step @p153 :rule cong :premises (@p152 @p91) :args (@t117)) % 34.02/34.20 (step @p154 :rule cong :premises (@p147 @p28) :args (@t76)) % 34.02/34.20 (step @p155 :rule trans :premises (@p154 @p52 @p153 @p150 @p149)) % 34.02/34.20 (step @p156 :rule cong :premises (@p129 @p155) :args (@t88)) % 34.02/34.20 (step @p157 :rule symm :premises (@p93)) % 34.02/34.20 (step @p158 :rule refl :args (@t48)) % 34.02/34.20 (step @p159 :rule symm :premises (@p49)) % 34.02/34.20 (step @p160 :rule cong :premises (@p159 @p158) :args (@t85)) % 34.02/34.20 (step @p161 :rule symm :premises (@p94)) % 34.02/34.20 (step @p162 :rule symm :premises (@p156)) % 34.02/34.20 (step @p163 :rule trans :premises (@p162 @p93)) % 34.02/34.20 (step @p164 :rule cong :premises (@p50 @p163) :args (@t77)) % 34.02/34.20 (step @p165 :rule trans :premises (@p164 @p161 @p160 @p157 @p156)) % 34.02/34.20 (step @p166 :rule cong :premises (@p165 @p146) :args (@t78)) % 34.02/34.20 (step @p167 :rule trans :premises (@p166 @p141 @p131 @p130)) % 34.02/34.20 (step @p168 :rule cong :premises (@p167 @p145) :args (@t131)) % 34.02/34.20 (step @p169 :rule trans :premises (@p168 @p127)) % 34.02/34.20 (step @p196 :rule eq_resolve :premises (@p169 @p126)) % 34.02/34.20 (step @p197 :rule false_elim :premises (@p196)) % 34.02/34.20 (step @p198 :rule and_intro :premises (@p95 @p197)) % 34.02/34.20 (step-pop @p250 :rule scope :premises (@p198)) % 34.02/34.20 (step-pop @p251 :rule scope :premises (@p250)) % 34.02/34.20 (step-pop @p252 :rule scope :premises (@p251)) % 34.02/34.20 (step-pop @p253 :rule scope :premises (@p252)) % 34.02/34.20 (step-pop @p254 :rule scope :premises (@p253)) % 34.02/34.20 (step-pop @p255 :rule scope :premises (@p254)) % 34.02/34.20 (step-pop @p256 :rule scope :premises (@p255)) % 34.02/34.20 (step-pop @p257 :rule scope :premises (@p256)) % 34.02/34.20 (step-pop @p258 :rule scope :premises (@p257)) % 34.02/34.20 (step-pop @p259 :rule scope :premises (@p258)) % 34.02/34.20 (step-pop @p260 :rule scope :premises (@p259)) % 34.02/34.20 (step-pop @p261 :rule scope :premises (@p260)) % 34.02/34.20 (step-pop @p262 :rule scope :premises (@p261)) % 34.02/34.20 (step-pop @p263 :rule scope :premises (@p262)) % 34.02/34.20 (step-pop @p264 :rule scope :premises (@p263)) % 34.02/34.20 (step-pop @p265 :rule scope :premises (@p264)) % 34.02/34.20 (step-pop @p266 :rule scope :premises (@p265)) % 34.02/34.20 (step-pop @p267 :rule scope :premises (@p266)) % 34.02/34.20 (step-pop @p268 :rule scope :premises (@p267)) % 34.02/34.20 (step @p199 :rule process_scope :premises (@p268) :args (@t133)) % 34.02/34.20 (step @p219 :rule implies_elim :premises (@p199)) % 34.02/34.20 (step @p220 :rule resolution :premises (@p219 @p174) :args (true @t133)) % 34.02/34.20 (step @p221 :rule not_and :premises (@p220)) % 34.02/34.20 (step @p222 :rule eq_resolve :premises (@p221 @p115)) % 34.02/34.20 (step @p223 :rule reordering :premises (@p222) :args ((or @t130 @t128 @t126 @t66 @t125 @t123 @t120 @t116 @t114 @t111 @t109 @t107 @t103 @t102 @t99 @t96 @t90 @t87 @t82))) % 34.02/34.21 (step @p224 false :rule chain_m_resolution :premises (@p223 @p95 @p94 @p93 @p92 @p91 @p90 @p86 @p76 @p75 @p74 @p70 @p69 @p65 @p52 @p51 @p50 @p49 @p28 @p24) :args (false (@list false false false false false false false false false false false false true false false false false false false) (@list @t81 @t86 @t89 @t95 @t98 @t101 @t75 @t106 @t108 @t110 @t113 @t115 @t66 @t119 @t122 @t124 @t56 @t127 @t129))) % 34.02/34.21 ) % 34.02/34.21 % SZS output end Proof % 34.02/34.21 % cvc5 exiting %------------------------------------------------------------------------------