%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE159+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 : n002.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 2.41s 2.60s % Output : Proof 2.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE159+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 05:22:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 2.41/2.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.41/2.60 % SZS status Theorem % 2.41/2.60 % SZS output start Proof % 2.41/2.60 ( % 2.41/2.60 (declare-sort $$unsorted 0) % 2.41/2.60 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 2.41/2.60 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 2.41/2.60 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 2.41/2.60 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.60 (declare-const tptp.zero $$unsorted) % 2.41/2.60 (declare-const tptp.one $$unsorted) % 2.41/2.60 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.60 (define @t1 () (@var "A" $$unsorted)) % 2.41/2.60 (define @t2 () (@var "B" $$unsorted)) % 2.41/2.60 (define @t3 () (tptp.addition @t1 @t2)) % 2.41/2.60 (define @t4 () (@list @t1 @t2)) % 2.41/2.60 (define @t5 () (@var "C" $$unsorted)) % 2.41/2.60 (define @t6 () (tptp.addition @t2 @t5)) % 2.41/2.60 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 2.41/2.60 (define @t8 () (@list @t1)) % 2.41/2.60 (define @t9 () (tptp.addition @t1 @t1)) % 2.41/2.60 (define @t10 () (forall @t8 (= @t9 @t1))) % 2.41/2.60 (define @t11 () (tptp.multiplication @t1 @t2)) % 2.41/2.60 (define @t12 () (tptp.multiplication @t2 @t5)) % 2.41/2.60 (define @t13 () (@list @t1 @t2 @t5)) % 2.41/2.60 (define @t14 () (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5)))) % 2.41/2.60 (define @t15 () (tptp.multiplication tptp.one @t1)) % 2.41/2.60 (define @t16 () (forall @t8 (= @t15 @t1))) % 2.41/2.60 (define @t17 () (tptp.multiplication @t1 @t5)) % 2.41/2.60 (define @t18 () (tptp.star @t1)) % 2.41/2.60 (define @t19 () (tptp.addition tptp.one (tptp.multiplication @t18 @t1))) % 2.41/2.60 (define @t20 () (forall @t8 (= @t19 @t18))) % 2.41/2.60 (define @t21 () (tptp.addition @t17 @t2)) % 2.41/2.60 (define @t22 () (tptp.leq (tptp.multiplication @t2 @t18) @t5)) % 2.41/2.60 (define @t23 () (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5)) % 2.41/2.60 (define @t24 () (forall @t13 (=> @t23 @t22))) % 2.41/2.60 (define @t25 () (tptp.strong_iteration @t1)) % 2.41/2.60 (define @t26 () (tptp.leq @t1 @t2)) % 2.41/2.60 (define @t27 () (= @t26 (= @t3 @t2))) % 2.41/2.60 (define @t28 () (forall @t4 @t27)) % 2.41/2.60 (define @t29 () (@var "X0" $$unsorted)) % 2.41/2.60 (define @t30 () (@var "X2" $$unsorted)) % 2.41/2.60 (define @t31 () (@var "X1" $$unsorted)) % 2.41/2.60 (define @t32 () (tptp.leq (tptp.multiplication @t29 (tptp.star @t31)) (tptp.multiplication (tptp.star @t30) @t29))) % 2.41/2.60 (define @t33 () (tptp.leq (tptp.multiplication @t29 @t31) (tptp.multiplication @t30 @t29))) % 2.41/2.60 (define @t34 () (@list @t29 @t31 @t30)) % 2.41/2.60 (define @t35 () (forall @t34 (=> @t33 @t32))) % 2.41/2.60 (define @t36 () (not @t35)) % 2.41/2.60 (define @t37 () (forall @t34 (or (not @t33) @t32))) % 2.41/2.60 (define @t38 () (@quantifiers_skolemize @t37 2)) % 2.41/2.60 (define @t39 () (@quantifiers_skolemize @t37 0)) % 2.41/2.60 (define @t40 () (tptp.multiplication @t38 @t39)) % 2.41/2.60 (define @t41 () (@quantifiers_skolemize @t37 1)) % 2.41/2.60 (define @t42 () (tptp.multiplication @t39 @t41)) % 2.41/2.60 (define @t43 () (@list @t42 @t40)) % 2.41/2.60 (define @t44 () (tptp.leq @t42 @t40)) % 2.41/2.60 (define @t45 () (tptp.star @t38)) % 2.41/2.60 (define @t46 () (tptp.multiplication @t45 @t39)) % 2.41/2.60 (define @t47 () (tptp.leq (tptp.multiplication @t39 (tptp.star @t41)) @t46)) % 2.41/2.60 (define @t48 () (not @t44)) % 2.41/2.60 (define @t49 () (or @t48 @t47)) % 2.41/2.60 (define @t50 () (@list true)) % 2.41/2.60 (define @t51 () (@list @t49)) % 2.41/2.60 (define @t52 () (tptp.addition @t42 @t40)) % 2.41/2.60 (define @t53 () (= @t40 @t52)) % 2.41/2.60 (define @t54 () (= @t44 @t53)) % 2.41/2.60 (define @t55 () (tptp.multiplication @t45 @t42)) % 2.41/2.60 (define @t56 () (tptp.multiplication @t46 @t41)) % 2.41/2.60 (define @t57 () (= @t55 @t56)) % 2.41/2.60 (define @t58 () (@list @t45 @t39 @t41)) % 2.41/2.60 (define @t59 () (= @t56 @t55)) % 2.41/2.60 (define @t60 () (@list false)) % 2.41/2.60 (define @t61 () (@list @t14)) % 2.41/2.60 (define @t62 () (tptp.multiplication @t45 @t38)) % 2.41/2.60 (define @t63 () (tptp.addition @t56 @t39)) % 2.41/2.60 (define @t64 () (tptp.leq @t63 @t46)) % 2.41/2.60 (define @t65 () (not @t64)) % 2.41/2.60 (define @t66 () (or @t65 @t47)) % 2.41/2.60 (define @t67 () (@list true false)) % 2.41/2.60 (define @t68 () (= @t46 (tptp.addition @t63 @t46))) % 2.41/2.60 (define @t69 () (= @t64 @t68)) % 2.41/2.60 (define @t70 () (not @t68)) % 2.41/2.60 (define @t71 () (tptp.multiplication @t62 @t39)) % 2.41/2.60 (define @t72 () (tptp.multiplication tptp.one @t39)) % 2.41/2.60 (define @t73 () (tptp.multiplication @t45 @t40)) % 2.41/2.60 (define @t74 () (= @t73 @t71)) % 2.41/2.60 (define @t75 () (@list @t45 @t38 @t39)) % 2.41/2.60 (define @t76 () (= @t71 @t73)) % 2.41/2.60 (define @t77 () (@list @t39)) % 2.41/2.60 (define @t78 () (tptp.addition @t63 @t72)) % 2.41/2.60 (define @t79 () (tptp.addition @t56 (tptp.addition @t39 @t72))) % 2.41/2.60 (define @t80 () (= @t79 @t78)) % 2.41/2.60 (define @t81 () (@list @t72 @t39 @t56)) % 2.41/2.60 (define @t82 () (= @t78 @t79)) % 2.41/2.60 (define @t83 () (tptp.addition @t71 @t56)) % 2.41/2.60 (define @t84 () (tptp.addition @t83 @t39)) % 2.41/2.60 (define @t85 () (tptp.addition @t71 @t63)) % 2.41/2.60 (define @t86 () (= @t85 @t84)) % 2.41/2.60 (define @t87 () (not @t86)) % 2.41/2.60 (define @t88 () (tptp.addition @t40 @t42)) % 2.41/2.60 (define @t89 () (tptp.multiplication @t45 @t88)) % 2.41/2.60 (define @t90 () (= @t89 (tptp.addition @t73 @t55))) % 2.41/2.60 (define @t91 () (not @t90)) % 2.41/2.60 (define @t92 () (tptp.addition @t39 @t39)) % 2.41/2.60 (define @t93 () (= @t39 @t92)) % 2.41/2.60 (define @t94 () (not @t93)) % 2.41/2.60 (define @t95 () (not @t82)) % 2.41/2.60 (define @t96 () (tptp.addition @t78 @t71)) % 2.41/2.60 (define @t97 () (= @t96 (tptp.addition @t71 @t78))) % 2.41/2.60 (define @t98 () (not @t97)) % 2.41/2.60 (define @t99 () (= @t39 @t72)) % 2.41/2.60 (define @t100 () (not @t99)) % 2.41/2.60 (define @t101 () (not @t76)) % 2.41/2.60 (define @t102 () (tptp.addition @t72 @t71)) % 2.41/2.60 (define @t103 () (tptp.addition @t63 @t102)) % 2.41/2.60 (define @t104 () (= @t103 @t96)) % 2.41/2.60 (define @t105 () (not @t104)) % 2.41/2.60 (define @t106 () (= @t102 (tptp.addition @t71 @t72))) % 2.41/2.60 (define @t107 () (not @t106)) % 2.41/2.60 (define @t108 () (tptp.addition tptp.one @t62)) % 2.41/2.60 (define @t109 () (tptp.multiplication @t108 @t39)) % 2.41/2.60 (define @t110 () (= @t109 @t102)) % 2.41/2.60 (define @t111 () (not @t110)) % 2.41/2.60 (define @t112 () (not @t59)) % 2.41/2.60 (define @t113 () (= @t52 @t88)) % 2.41/2.60 (define @t114 () (not @t113)) % 2.41/2.60 (define @t115 () (not @t53)) % 2.41/2.60 (define @t116 () (= @t45 @t108)) % 2.41/2.60 (define @t117 () (not @t116)) % 2.41/2.60 (define @t118 () (= @t84 @t85)) % 2.41/2.60 (define @t119 () (not @t118)) % 2.41/2.60 (define @t120 () (tptp.addition @t55 @t39)) % 2.41/2.60 (define @t121 () (and @t86 @t87)) % 2.41/2.60 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 2.41/2.60 (assume @p2 @t7) % 2.41/2.60 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 2.41/2.60 (assume @p4 @t10) % 2.41/2.60 (assume @p5 @t14) % 2.41/2.60 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 2.41/2.60 (assume @p7 @t16) % 2.41/2.60 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t17)))) % 2.41/2.60 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t12)))) % 2.41/2.60 (assume @p10 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 2.41/2.60 (assume @p11 (forall @t8 (= (tptp.addition tptp.one (tptp.multiplication @t1 @t18)) @t18))) % 2.41/2.60 (assume @p12 @t20) % 2.41/2.60 (assume @p13 (forall @t13 (=> (tptp.leq @t21 @t5) (tptp.leq (tptp.multiplication @t18 @t2) @t5)))) % 2.41/2.60 (assume @p14 @t24) % 2.41/2.60 (assume @p15 (forall @t8 (= @t25 (tptp.addition (tptp.multiplication @t1 @t25) tptp.one)))) % 2.41/2.60 (assume @p16 (forall @t13 (=> (tptp.leq @t5 @t21) (tptp.leq @t5 (tptp.multiplication @t25 @t2))))) % 2.41/2.60 (assume @p17 (forall @t8 (= @t25 (tptp.addition @t18 (tptp.multiplication @t25 tptp.zero))))) % 2.41/2.60 (assume @p18 @t28) % 2.41/2.60 (assume @p19 @t36) % 2.41/2.60 (assume @p20 true) % 2.41/2.60 (step @p21 :rule eq-symm :args (@t19 @t18)) % 2.41/2.60 (step @p22 :rule cong :premises (@p21) :args (@t20)) % 2.41/2.60 (step @p23 :rule eq_resolve :premises (@p12 @p22)) % 2.41/2.60 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t38))) % 2.41/2.60 (step @p25 :rule eq-symm :args (@t3 @t2)) % 2.41/2.60 (step @p26 :rule refl :args (@t26)) % 2.41/2.60 (step @p27 :rule cong :premises (@p26 @p25) :args (@t27)) % 2.41/2.60 (step @p28 :rule cong :premises (@p27) :args (@t28)) % 2.41/2.60 (step @p29 :rule eq_resolve :premises (@p18 @p28)) % 2.41/2.60 (step @p30 :rule instantiate :premises (@p29) :args (@t43)) % 2.41/2.60 (step @p31 :rule bool-impl-elim :args (@t33 @t32)) % 2.41/2.60 (step @p32 :rule cong :premises (@p31) :args (@t35)) % 2.41/2.60 (step @p33 :rule cong :premises (@p32) :args (@t36)) % 2.41/2.60 (step @p34 :rule eq_resolve :premises (@p19 @p33)) % 2.41/2.60 (step @p35 :rule skolemize :premises (@p34)) % 2.41/2.60 (step @p36 :rule bool-double-not-elim :args (@t44)) % 2.41/2.60 (step @p37 :rule refl :args (@t49)) % 2.41/2.60 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t49 (not @t48)))) % 2.41/2.60 (step @p39 :rule cnf_or_neg :args (@t49 0)) % 2.41/2.60 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 2.41/2.60 (step @p41 :rule reordering :premises (@p40) :args ((or @t44 @t49))) % 2.41/2.60 (step @p42 :rule chain_m_resolution :premises (@p41 @p35) :args (@t44 @t50 @t51)) % 2.41/2.60 (step @p43 :rule cnf_equiv_pos1 :args (@t54)) % 2.41/2.60 (step @p44 :rule reordering :premises (@p43) :args ((or @t48 @t53 (not @t54)))) % 2.41/2.60 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p30) :args (@t53 (@list false false) (@list @t44 @t54))) % 2.41/2.60 (step @p46 :rule instantiate :premises (@p1) :args (@t43)) % 2.41/2.60 (step @p47 :rule eq-symm :args (@t55 @t56)) % 2.41/2.60 (step @p48 :rule refl :args (@t14)) % 2.41/2.60 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t14 @t57))) % 2.41/2.60 (assume-push @p208 @t14) % 2.41/2.60 (step @p51 :rule instantiate :premises (@p5) :args (@t58)) % 2.41/2.60 (step-pop @p209 :rule scope :premises (@p51)) % 2.41/2.60 (step @p52 :rule process_scope :premises (@p209) :args (@t57)) % 2.41/2.60 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 2.41/2.60 (step @p55 :rule implies_elim :premises (@p54)) % 2.41/2.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p5) :args (@t59 @t60 @t61)) % 2.41/2.60 (step @p57 :rule instantiate :premises (@p9) :args ((@list tptp.one @t62 @t39))) % 2.41/2.60 (step @p58 :rule instantiate :premises (@p29) :args ((@list @t63 @t46))) % 2.41/2.60 (step @p59 :rule bool-impl-elim :args (@t23 @t22)) % 2.41/2.60 (step @p60 :rule cong :premises (@p59) :args (@t24)) % 2.41/2.60 (step @p61 :rule eq_resolve :premises (@p14 @p60)) % 2.41/2.60 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t41 @t39 @t46))) % 2.41/2.60 (step @p63 :rule cnf_or_neg :args (@t49 1)) % 2.41/2.60 (step @p64 :rule chain_m_resolution :premises (@p63 @p35) :args ((not @t47) @t50 @t51)) % 2.41/2.60 (step @p65 :rule cnf_or_pos :args (@t66)) % 2.41/2.60 (step @p66 :rule reordering :premises (@p65) :args ((or @t47 @t65 (not @t66)))) % 2.41/2.60 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p62) :args (@t65 @t67 (@list @t47 @t66))) % 2.41/2.60 (step @p68 :rule cnf_equiv_pos2 :args (@t69)) % 2.41/2.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t64 @t70 (not @t69)))) % 2.41/2.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p58) :args (@t70 @t67 (@list @t64 @t69))) % 2.41/2.60 (step @p71 :rule instantiate :premises (@p1) :args ((@list @t72 @t71))) % 2.41/2.60 (step @p72 :rule instantiate :premises (@p2) :args ((@list @t71 @t72 @t63))) % 2.41/2.60 (step @p73 :rule eq-symm :args (@t73 @t71)) % 2.41/2.60 (step @p74 :rule cong :premises (@p48 @p73) :args ((=> @t14 @t74))) % 2.41/2.60 (assume-push @p210 @t14) % 2.41/2.60 (step @p76 :rule instantiate :premises (@p5) :args (@t75)) % 2.41/2.60 (step-pop @p211 :rule scope :premises (@p76)) % 2.41/2.60 (step @p77 :rule process_scope :premises (@p211) :args (@t74)) % 2.41/2.60 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 2.41/2.60 (step @p80 :rule implies_elim :premises (@p79)) % 2.41/2.60 (step @p81 :rule chain_m_resolution :premises (@p80 @p5) :args (@t76 @t60 @t61)) % 2.41/2.60 (step @p82 :rule eq-symm :args (@t15 @t1)) % 2.41/2.60 (step @p83 :rule cong :premises (@p82) :args (@t16)) % 2.41/2.60 (step @p84 :rule eq_resolve :premises (@p7 @p83)) % 2.41/2.60 (step @p85 :rule instantiate :premises (@p84) :args (@t77)) % 2.41/2.60 (step @p86 :rule instantiate :premises (@p1) :args ((@list @t78 @t71))) % 2.41/2.60 (step @p87 :rule eq-symm :args (@t79 @t78)) % 2.41/2.60 (step @p88 :rule refl :args (@t7)) % 2.41/2.60 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t7 @t80))) % 2.41/2.60 (assume-push @p212 @t7) % 2.41/2.60 (step @p91 :rule instantiate :premises (@p2) :args (@t81)) % 2.41/2.60 (step-pop @p213 :rule scope :premises (@p91)) % 2.41/2.60 (step @p92 :rule process_scope :premises (@p213) :args (@t80)) % 2.41/2.60 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 2.41/2.60 (step @p95 :rule implies_elim :premises (@p94)) % 2.41/2.60 (step @p96 :rule chain_m_resolution :premises (@p95 @p2) :args (@t82 @t60 (@list @t7))) % 2.41/2.60 (step @p97 :rule eq-symm :args (@t9 @t1)) % 2.41/2.60 (step @p98 :rule cong :premises (@p97) :args (@t10)) % 2.41/2.60 (step @p99 :rule eq_resolve :premises (@p4 @p98)) % 2.41/2.60 (step @p100 :rule instantiate :premises (@p99) :args (@t77)) % 2.41/2.60 (step @p101 :rule instantiate :premises (@p8) :args ((@list @t45 @t40 @t42))) % 2.41/2.60 (step @p102 :rule instantiate :premises (@p2) :args ((@list @t39 @t56 @t71))) % 2.41/2.60 (step @p103 :rule refl :args (@t87)) % 2.41/2.60 (step @p104 :rule refl :args (@t91)) % 2.41/2.60 (step @p105 :rule refl :args (@t94)) % 2.41/2.60 (step @p106 :rule refl :args (@t95)) % 2.41/2.60 (step @p107 :rule refl :args (@t98)) % 2.41/2.60 (step @p108 :rule refl :args (@t100)) % 2.41/2.60 (step @p109 :rule refl :args (@t101)) % 2.41/2.60 (step @p110 :rule refl :args (@t105)) % 2.41/2.60 (step @p111 :rule refl :args (@t107)) % 2.41/2.60 (step @p112 :rule bool-double-not-elim :args (@t68)) % 2.41/2.60 (step @p113 :rule refl :args (@t111)) % 2.41/2.60 (step @p114 :rule refl :args (@t112)) % 2.41/2.60 (step @p115 :rule refl :args (@t114)) % 2.41/2.60 (step @p116 :rule refl :args (@t115)) % 2.41/2.60 (step @p117 :rule refl :args (@t117)) % 2.41/2.60 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103) :args ((or @t117 @t115 @t114 @t112 @t111 (not @t70) @t107 @t105 @t101 @t100 @t98 @t95 @t94 @t91 @t87))) % 2.41/2.60 (assume-push @p214 @t86) % 2.41/2.60 (assume-push @p215 @t87) % 2.41/2.60 (step @p121 :rule evaluate :args ((= false true))) % 2.41/2.60 (step @p122 :rule true_intro :premises (@p102)) % 2.41/2.60 (step @p123 :rule bool-eq-false :args (@t86)) % 2.41/2.60 (step @p124 :rule symm :premises (@p123)) % 2.41/2.60 (step @p125 :rule eq-symm :args (@t84 @t85)) % 2.41/2.60 (step @p126 :rule cong :premises (@p125) :args (@t119)) % 2.41/2.60 (step @p127 :rule bool-eq-false :args (@t118)) % 2.41/2.60 (step @p128 :rule trans :premises (@p127 @p126)) % 2.41/2.60 (step @p129 :rule trans :premises (@p128 @p124)) % 2.41/2.60 (step @p130 :rule false_intro :premises (@p70)) % 2.41/2.60 (step @p131 :rule refl :args (@t39)) % 2.41/2.60 (step @p132 :rule symm :premises (@p24)) % 2.41/2.60 (step @p133 :rule cong :premises (@p132 @p131) :args (@t109)) % 2.41/2.60 (step @p134 :rule symm :premises (@p57)) % 2.41/2.60 (step @p135 :rule trans :premises (@p134 @p133)) % 2.41/2.60 (step @p136 :rule refl :args (@t63)) % 2.41/2.60 (step @p137 :rule cong :premises (@p136 @p135) :args (@t103)) % 2.41/2.60 (step @p138 :rule symm :premises (@p72)) % 2.41/2.60 (step @p139 :rule symm :premises (@p86)) % 2.41/2.60 (step @p91 :rule instantiate :premises (@p2) :args (@t81)) % 2.41/2.60 (step @p140 :rule cong :premises (@p131 @p85) :args (@t92)) % 2.41/2.60 (step @p141 :rule trans :premises (@p100 @p140)) % 2.41/2.60 (step @p51 :rule instantiate :premises (@p5) :args (@t58)) % 2.41/2.60 (step @p142 :rule cong :premises (@p51 @p141) :args (@t120)) % 2.41/2.60 (step @p143 :rule cong :premises (@p56 @p131) :args (@t63)) % 2.41/2.60 (step @p144 :rule trans :premises (@p143 @p142 @p91)) % 2.41/2.60 (step @p145 :rule refl :args (@t71)) % 2.41/2.60 (step @p146 :rule cong :premises (@p145 @p144) :args (@t85)) % 2.41/2.60 (step @p147 :rule trans :premises (@p146 @p139 @p138 @p137)) % 2.41/2.60 (step @p148 :rule symm :premises (@p71)) % 2.41/2.60 (step @p76 :rule instantiate :premises (@p5) :args (@t75)) % 2.41/2.60 (step @p149 :rule symm :premises (@p45)) % 2.41/2.60 (step @p150 :rule symm :premises (@p46)) % 2.41/2.60 (step @p151 :rule trans :premises (@p150 @p149)) % 2.41/2.60 (step @p152 :rule refl :args (@t45)) % 2.41/2.60 (step @p153 :rule cong :premises (@p152 @p151) :args (@t89)) % 2.41/2.60 (step @p154 :rule symm :premises (@p101)) % 2.41/2.60 (step @p155 :rule cong :premises (@p81 @p56) :args (@t83)) % 2.41/2.60 (step @p156 :rule trans :premises (@p155 @p154 @p153 @p76)) % 2.41/2.60 (step @p157 :rule cong :premises (@p156 @p85) :args (@t84)) % 2.41/2.60 (step @p158 :rule trans :premises (@p157 @p148 @p134 @p133)) % 2.41/2.60 (step @p159 :rule cong :premises (@p158 @p147) :args (@t118)) % 2.41/2.60 (step @p160 :rule trans :premises (@p159 @p130)) % 2.41/2.60 (step @p161 :rule eq_resolve :premises (@p160 @p129)) % 2.41/2.60 (step @p162 :rule symm :premises (@p161)) % 2.41/2.60 (step @p163 :rule trans :premises (@p162 @p122)) % 2.41/2.60 (step @p164 false :rule eq_resolve :premises (@p163 @p121)) % 2.41/2.60 (step-pop @p216 :rule scope :premises (@p164)) % 2.41/2.60 (step-pop @p217 :rule scope :premises (@p216)) % 2.41/2.60 (step @p165 :rule process_scope :premises (@p217) :args (false)) % 2.41/2.60 (assume-push @p218 @t116) % 2.41/2.60 (assume-push @p219 @t53) % 2.41/2.60 (assume-push @p220 @t113) % 2.41/2.60 (assume-push @p221 @t59) % 2.41/2.60 (assume-push @p222 @t110) % 2.41/2.60 (assume-push @p223 @t70) % 2.41/2.60 (assume-push @p224 @t106) % 2.41/2.60 (assume-push @p225 @t104) % 2.41/2.60 (assume-push @p226 @t76) % 2.41/2.60 (assume-push @p227 @t99) % 2.41/2.60 (assume-push @p228 @t97) % 2.41/2.60 (assume-push @p229 @t82) % 2.41/2.60 (assume-push @p230 @t93) % 2.41/2.60 (assume-push @p231 @t90) % 2.41/2.60 (assume-push @p232 @t86) % 2.41/2.60 (step @p123 :rule bool-eq-false :args (@t86)) % 2.41/2.60 (step @p124 :rule symm :premises (@p123)) % 2.41/2.60 (step @p125 :rule eq-symm :args (@t84 @t85)) % 2.41/2.60 (step @p126 :rule cong :premises (@p125) :args (@t119)) % 2.41/2.60 (step @p127 :rule bool-eq-false :args (@t118)) % 2.41/2.60 (step @p128 :rule trans :premises (@p127 @p126)) % 2.41/2.60 (step @p129 :rule trans :premises (@p128 @p124)) % 2.41/2.60 (step @p130 :rule false_intro :premises (@p70)) % 2.41/2.60 (step @p131 :rule refl :args (@t39)) % 2.41/2.60 (step @p132 :rule symm :premises (@p24)) % 2.41/2.60 (step @p133 :rule cong :premises (@p132 @p131) :args (@t109)) % 2.41/2.60 (step @p134 :rule symm :premises (@p57)) % 2.41/2.60 (step @p135 :rule trans :premises (@p134 @p133)) % 2.41/2.60 (step @p136 :rule refl :args (@t63)) % 2.41/2.60 (step @p137 :rule cong :premises (@p136 @p135) :args (@t103)) % 2.41/2.60 (step @p138 :rule symm :premises (@p72)) % 2.41/2.60 (step @p139 :rule symm :premises (@p86)) % 2.41/2.60 (step @p91 :rule instantiate :premises (@p2) :args (@t81)) % 2.41/2.60 (step @p140 :rule cong :premises (@p131 @p85) :args (@t92)) % 2.41/2.60 (step @p141 :rule trans :premises (@p100 @p140)) % 2.41/2.60 (step @p51 :rule instantiate :premises (@p5) :args (@t58)) % 2.41/2.60 (step @p142 :rule cong :premises (@p51 @p141) :args (@t120)) % 2.41/2.60 (step @p143 :rule cong :premises (@p56 @p131) :args (@t63)) % 2.41/2.61 (step @p144 :rule trans :premises (@p143 @p142 @p91)) % 2.41/2.61 (step @p145 :rule refl :args (@t71)) % 2.41/2.61 (step @p146 :rule cong :premises (@p145 @p144) :args (@t85)) % 2.41/2.61 (step @p147 :rule trans :premises (@p146 @p139 @p138 @p137)) % 2.41/2.61 (step @p148 :rule symm :premises (@p71)) % 2.41/2.61 (step @p76 :rule instantiate :premises (@p5) :args (@t75)) % 2.41/2.61 (step @p149 :rule symm :premises (@p45)) % 2.41/2.61 (step @p150 :rule symm :premises (@p46)) % 2.41/2.61 (step @p151 :rule trans :premises (@p150 @p149)) % 2.41/2.61 (step @p152 :rule refl :args (@t45)) % 2.41/2.61 (step @p153 :rule cong :premises (@p152 @p151) :args (@t89)) % 2.41/2.61 (step @p154 :rule symm :premises (@p101)) % 2.41/2.61 (step @p155 :rule cong :premises (@p81 @p56) :args (@t83)) % 2.41/2.61 (step @p156 :rule trans :premises (@p155 @p154 @p153 @p76)) % 2.41/2.61 (step @p157 :rule cong :premises (@p156 @p85) :args (@t84)) % 2.41/2.61 (step @p158 :rule trans :premises (@p157 @p148 @p134 @p133)) % 2.41/2.61 (step @p159 :rule cong :premises (@p158 @p147) :args (@t118)) % 2.41/2.61 (step @p160 :rule trans :premises (@p159 @p130)) % 2.41/2.61 (step @p183 :rule eq_resolve :premises (@p160 @p129)) % 2.41/2.61 (step @p184 :rule false_elim :premises (@p183)) % 2.41/2.61 (step @p185 :rule and_intro :premises (@p102 @p184)) % 2.41/2.61 (step-pop @p233 :rule scope :premises (@p185)) % 2.41/2.61 (step-pop @p234 :rule scope :premises (@p233)) % 2.41/2.61 (step-pop @p235 :rule scope :premises (@p234)) % 2.41/2.61 (step-pop @p236 :rule scope :premises (@p235)) % 2.41/2.61 (step-pop @p237 :rule scope :premises (@p236)) % 2.41/2.61 (step-pop @p238 :rule scope :premises (@p237)) % 2.41/2.61 (step-pop @p239 :rule scope :premises (@p238)) % 2.41/2.61 (step-pop @p240 :rule scope :premises (@p239)) % 2.41/2.61 (step-pop @p241 :rule scope :premises (@p240)) % 2.41/2.61 (step-pop @p242 :rule scope :premises (@p241)) % 2.41/2.61 (step-pop @p243 :rule scope :premises (@p242)) % 2.41/2.61 (step-pop @p244 :rule scope :premises (@p243)) % 2.41/2.61 (step-pop @p245 :rule scope :premises (@p244)) % 2.41/2.61 (step-pop @p246 :rule scope :premises (@p245)) % 2.41/2.61 (step-pop @p247 :rule scope :premises (@p246)) % 2.41/2.61 (step @p186 :rule process_scope :premises (@p247) :args (@t121)) % 2.41/2.61 (step @p202 :rule implies_elim :premises (@p186)) % 2.41/2.61 (step @p203 :rule resolution :premises (@p202 @p165) :args (true @t121)) % 2.41/2.61 (step @p204 :rule not_and :premises (@p203)) % 2.41/2.61 (step @p205 :rule eq_resolve :premises (@p204 @p118)) % 2.41/2.61 (step @p206 :rule reordering :premises (@p205) :args ((or @t117 @t115 @t68 @t114 @t112 @t111 @t107 @t105 @t101 @t100 @t98 @t95 @t94 @t91 @t87))) % 2.41/2.61 (step @p207 false :rule chain_m_resolution :premises (@p206 @p102 @p101 @p100 @p96 @p86 @p85 @p81 @p72 @p71 @p70 @p57 @p56 @p46 @p45 @p24) :args (false (@list false false false false false false false false false true false false false false false) (@list @t86 @t90 @t93 @t82 @t97 @t99 @t76 @t104 @t106 @t68 @t110 @t59 @t113 @t53 @t116))) % 2.41/2.61 ) % 2.41/2.61 % SZS output end Proof % 2.41/2.61 % cvc5 exiting %------------------------------------------------------------------------------