%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT017_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:14:21 AM UTC 2026 % Result : Theorem 0.17s 0.39s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : DAT017_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 22:25:33 EDT 2026 % 0.08/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_ARI % 0.17/0.39 --- Run --finite-model-find --decision=internal at 45... % 0.17/0.39 % SZS status Theorem % 0.17/0.39 % SZS output start Proof % 0.17/0.39 ( % 0.17/0.39 (declare-sort tptp.array 0) % 0.17/0.39 (declare-const tptp.read (-> tptp.array Int Int)) % 0.17/0.39 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 0.17/0.39 (define @t1 () (@var "W" Int)) % 0.17/0.39 (define @t2 () (@var "V" Int)) % 0.17/0.39 (define @t3 () (@var "U" tptp.array)) % 0.17/0.39 (define @t4 () (tptp.read (tptp.write @t3 @t2 @t1) @t2)) % 0.17/0.39 (define @t5 () (= @t4 @t1)) % 0.17/0.39 (define @t6 () (@list @t3 @t2 @t1)) % 0.17/0.39 (define @t7 () (forall @t6 @t5)) % 0.17/0.39 (define @t8 () (@var "Z" Int)) % 0.17/0.39 (define @t9 () (@var "X" tptp.array)) % 0.17/0.39 (define @t10 () (@var "X1" Int)) % 0.17/0.39 (define @t11 () (@var "Y" Int)) % 0.17/0.39 (define @t12 () (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8))))) % 0.17/0.39 (define @t13 () (@var "V" tptp.array)) % 0.17/0.39 (define @t14 () (tptp.read @t13 @t8)) % 0.17/0.39 (define @t15 () (= (tptp.read @t3 @t8) @t14)) % 0.17/0.39 (define @t16 () (not @t15)) % 0.17/0.39 (define @t17 () (@list @t8)) % 0.17/0.39 (define @t18 () (exists @t17 @t16)) % 0.17/0.39 (define @t19 () (tptp.read @t13 @t11)) % 0.17/0.39 (define @t20 () (+ @t19 1)) % 0.17/0.39 (define @t21 () (@var "X" Int)) % 0.17/0.39 (define @t22 () (tptp.write @t13 @t21 0)) % 0.17/0.39 (define @t23 () (tptp.write @t22 @t11 @t20)) % 0.17/0.39 (define @t24 () (tptp.write @t23 @t1 0)) % 0.17/0.39 (define @t25 () (= @t3 @t24)) % 0.17/0.39 (define @t26 () (= (tptp.read @t13 @t1) (tptp.read @t13 @t21))) % 0.17/0.39 (define @t27 () (not @t26)) % 0.17/0.39 (define @t28 () (and @t27 @t25)) % 0.17/0.39 (define @t29 () (=> @t28 @t18)) % 0.17/0.39 (define @t30 () (@list @t3 @t13 @t1 @t21 @t11)) % 0.17/0.39 (define @t31 () (forall @t30 @t29)) % 0.17/0.39 (define @t32 () (not @t31)) % 0.17/0.39 (define @t33 () (= @t1 @t4)) % 0.17/0.39 (define @t34 () (+ 1 @t19)) % 0.17/0.39 (define @t35 () (tptp.write (tptp.write @t22 @t11 @t34) @t1 0)) % 0.17/0.39 (define @t36 () (tptp.read @t35 @t8)) % 0.17/0.39 (define @t37 () (= @t14 @t36)) % 0.17/0.39 (define @t38 () (not (forall @t17 @t37))) % 0.17/0.39 (define @t39 () (or @t26 @t38)) % 0.17/0.39 (define @t40 () (@list @t13 @t1 @t21 @t11)) % 0.17/0.39 (define @t41 () (forall @t40 @t39)) % 0.17/0.39 (define @t42 () (@quantifiers_skolemize @t41 3)) % 0.17/0.39 (define @t43 () (@quantifiers_skolemize @t41 0)) % 0.17/0.39 (define @t44 () (tptp.read @t43 @t42)) % 0.17/0.39 (define @t45 () (+ 1 @t44)) % 0.17/0.39 (define @t46 () (@quantifiers_skolemize @t41 2)) % 0.17/0.39 (define @t47 () (tptp.write @t43 @t46 0)) % 0.17/0.39 (define @t48 () (tptp.write @t47 @t42 @t45)) % 0.17/0.39 (define @t49 () (tptp.read @t48 @t42)) % 0.17/0.39 (define @t50 () (+ -1 @t49)) % 0.17/0.39 (define @t51 () (* 1 (- @t44 @t50))) % 0.17/0.39 (define @t52 () (= @t44 @t50)) % 0.17/0.39 (define @t53 () (= @t45 @t49)) % 0.17/0.39 (define @t54 () (forall @t6 @t33)) % 0.17/0.39 (define @t55 () (@list false)) % 0.17/0.39 (define @t56 () (@list @t54)) % 0.17/0.39 (define @t57 () (@quantifiers_skolemize @t41 1)) % 0.17/0.39 (define @t58 () (= @t36 @t14)) % 0.17/0.39 (define @t59 () (forall @t17 @t58)) % 0.17/0.39 (define @t60 () (not @t59)) % 0.17/0.39 (define @t61 () (not (= @t35 @t35))) % 0.17/0.39 (define @t62 () (or @t26 @t61 @t60)) % 0.17/0.39 (define @t63 () (not (forall @t17 @t15))) % 0.17/0.39 (define @t64 () (= @t3 @t35)) % 0.17/0.39 (define @t65 () (not @t64)) % 0.17/0.39 (define @t66 () (or @t65 @t26 @t65 @t63)) % 0.17/0.39 (define @t67 () (@list @t3)) % 0.17/0.39 (define @t68 () (or @t26 @t65 @t63)) % 0.17/0.39 (define @t69 () (forall @t67 @t68)) % 0.17/0.39 (define @t70 () (forall @t40 @t69)) % 0.17/0.39 (define @t71 () (forall (@list @t13 @t1 @t21 @t11 @t3) @t68)) % 0.17/0.39 (define @t72 () (and @t27 @t64)) % 0.17/0.39 (define @t73 () (forall @t17 (not @t16))) % 0.17/0.39 (define @t74 () (not @t73)) % 0.17/0.39 (define @t75 () (tptp.write @t48 @t57 0)) % 0.17/0.39 (define @t76 () (forall @t17 (= (tptp.read @t43 @t8) (tptp.read @t75 @t8)))) % 0.17/0.39 (define @t77 () (not @t76)) % 0.17/0.39 (define @t78 () (tptp.read @t43 @t46)) % 0.17/0.39 (define @t79 () (tptp.read @t43 @t57)) % 0.17/0.39 (define @t80 () (= @t79 @t78)) % 0.17/0.39 (define @t81 () (or @t80 @t77)) % 0.17/0.39 (define @t82 () (not @t80)) % 0.17/0.39 (define @t83 () (@list true)) % 0.17/0.39 (define @t84 () (@list @t81)) % 0.17/0.39 (define @t85 () (= @t57 @t46)) % 0.17/0.39 (define @t86 () (not @t85)) % 0.17/0.39 (define @t87 () (tptp.read @t48 @t46)) % 0.17/0.39 (define @t88 () (tptp.read @t75 @t46)) % 0.17/0.39 (define @t89 () (= @t88 @t87)) % 0.17/0.39 (define @t90 () (or @t85 @t89)) % 0.17/0.39 (define @t91 () (@list true false)) % 0.17/0.39 (define @t92 () (tptp.read @t47 @t46)) % 0.17/0.39 (define @t93 () (= @t92 @t87)) % 0.17/0.39 (define @t94 () (= @t87 @t92)) % 0.17/0.39 (define @t95 () (= @t46 @t42)) % 0.17/0.39 (define @t96 () (= @t42 @t46)) % 0.17/0.39 (define @t97 () (or @t96 @t94)) % 0.17/0.39 (define @t98 () (or @t95 @t93)) % 0.17/0.39 (define @t99 () (@list @t12)) % 0.17/0.39 (define @t100 () (tptp.read @t75 @t57)) % 0.17/0.39 (define @t101 () (= @t100 0)) % 0.17/0.39 (define @t102 () (= 0 @t100)) % 0.17/0.39 (define @t103 () (@list @t48 @t57 0)) % 0.17/0.39 (define @t104 () (= @t92 0)) % 0.17/0.39 (define @t105 () (= 0 @t92)) % 0.17/0.39 (define @t106 () (not @t93)) % 0.17/0.39 (define @t107 () (= @t78 @t88)) % 0.17/0.39 (define @t108 () (not @t107)) % 0.17/0.39 (define @t109 () (not @t89)) % 0.17/0.39 (define @t110 () (= @t79 @t100)) % 0.17/0.39 (define @t111 () (not @t110)) % 0.17/0.39 (define @t112 () (not @t101)) % 0.17/0.39 (define @t113 () (not @t104)) % 0.17/0.39 (define @t114 () (and @t82 @t104 @t101 @t110 @t89 @t107)) % 0.17/0.39 (define @t115 () (tptp.read @t75 @t42)) % 0.17/0.39 (define @t116 () (= @t49 @t115)) % 0.17/0.39 (define @t117 () (= @t115 @t49)) % 0.17/0.39 (define @t118 () (= @t57 @t42)) % 0.17/0.39 (define @t119 () (or @t118 @t117)) % 0.17/0.39 (define @t120 () (or @t118 @t116)) % 0.17/0.39 (define @t121 () (not @t95)) % 0.17/0.39 (define @t122 () (not @t118)) % 0.17/0.39 (define @t123 () (= false true)) % 0.17/0.39 (define @t124 () (and @t118 @t95 @t86)) % 0.17/0.39 (define @t125 () (= @t44 @t88)) % 0.17/0.39 (define @t126 () (= @t115 @t88)) % 0.17/0.39 (define @t127 () (= @t44 @t49)) % 0.17/0.39 (define @t128 () (not @t127)) % 0.17/0.39 (define @t129 () (* -1 @t49)) % 0.17/0.39 (define @t130 () (+ -1 @t129)) % 0.17/0.39 (define @t131 () (- @t130 @t129)) % 0.17/0.39 (define @t132 () (+ @t129 -1)) % 0.17/0.39 (define @t133 () (* -1 @t44)) % 0.17/0.39 (define @t134 () (+ @t133 @t129 @t44)) % 0.17/0.39 (define @t135 () (+ @t44 @t129)) % 0.17/0.39 (define @t136 () (+ @t133 @t135)) % 0.17/0.39 (define @t137 () (and @t89 @t125 @t126 @t116 @t128)) % 0.17/0.39 (assume @p1 @t7) % 0.17/0.39 (assume @p2 @t12) % 0.17/0.39 (assume @p3 @t32) % 0.17/0.39 (assume @p4 true) % 0.17/0.39 (step @p5 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.17/0.39 (step @p6 :rule arith_poly_norm_rel :premises (@p5) :args ((= @t5 @t33))) % 0.17/0.39 (step @p7 :rule cong :premises (@p6) :args (@t7)) % 0.17/0.39 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.17/0.39 (step @p9 :rule arith_poly_norm :args ((= (* 1 (- @t45 @t49)) @t51))) % 0.17/0.39 (step @p10 :rule arith_poly_norm_rel :premises (@p9) :args ((= @t53 @t52))) % 0.17/0.39 (step @p11 :rule refl :args (@t54)) % 0.17/0.39 (step @p12 :rule cong :premises (@p11 @p10) :args ((=> @t54 @t53))) % 0.17/0.39 (assume-push @p326 @t54) % 0.17/0.39 (step @p14 :rule instantiate :premises (@p8) :args ((@list @t47 @t42 @t45))) % 0.17/0.39 (step-pop @p327 :rule scope :premises (@p14)) % 0.17/0.39 (step @p15 :rule process_scope :premises (@p327) :args (@t53)) % 0.17/0.39 (step @p17 :rule eq_resolve :premises (@p15 @p12)) % 0.17/0.39 (step @p18 :rule implies_elim :premises (@p17)) % 0.17/0.39 (step @p19 :rule chain_m_resolution :premises (@p18 @p8) :args (@t52 @t55 @t56)) % 0.17/0.39 (step @p20 :rule instantiate :premises (@p2) :args ((@list @t48 @t57 @t46 0))) % 0.17/0.39 (step @p21 :rule aci_norm :args ((= (or @t26 false @t38) @t39))) % 0.17/0.39 (step @p22 :rule arith_poly_norm :args ((= (* 1 (- @t36 @t14)) (* -1 (- @t14 @t36))))) % 0.17/0.39 (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= @t58 @t37))) % 0.17/0.39 (step @p24 :rule cong :premises (@p23) :args (@t59)) % 0.17/0.39 (step @p25 :rule cong :premises (@p24) :args (@t60)) % 0.17/0.39 (step @p26 :rule evaluate :args ((not true))) % 0.17/0.39 (step @p27 :rule eq-refl :args (@t35)) % 0.17/0.39 (step @p28 :rule cong :premises (@p27) :args (@t61)) % 0.17/0.39 (step @p29 :rule trans :premises (@p28 @p26)) % 0.17/0.39 (step @p30 :rule refl :args (@t26)) % 0.17/0.39 (step @p31 :rule nary_cong :premises (@p30 @p29 @p25) :args (@t62)) % 0.17/0.39 (step @p32 :rule trans :premises (@p31 @p21)) % 0.17/0.39 (step @p33 :rule cong :premises (@p32) :args ((forall @t40 @t62))) % 0.17/0.39 (step @p34 :rule quant-var-elim-eq :args ((= (forall @t67 @t66) @t62))) % 0.17/0.39 (step @p35 :rule aci_norm :args ((= @t68 @t66))) % 0.17/0.39 (step @p36 :rule cong :premises (@p35) :args (@t69)) % 0.17/0.39 (step @p37 :rule trans :premises (@p36 @p34)) % 0.17/0.39 (step @p38 :rule cong :premises (@p37) :args (@t70)) % 0.17/0.39 (step @p39 :rule quant-merge-prenex :args ((= @t70 @t71))) % 0.17/0.39 (step @p40 :rule symm :premises (@p39)) % 0.17/0.39 (step @p41 :rule quant_var_reordering :args ((= (forall @t30 @t68) @t71))) % 0.17/0.39 (step @p42 :rule trans :premises (@p41 @p40 @p38)) % 0.17/0.39 (step @p43 :rule trans :premises (@p42 @p33)) % 0.17/0.39 (step @p44 :rule aci_norm :args ((= (or (or @t26 @t65) @t63) @t68))) % 0.17/0.39 (step @p45 :rule refl :args (@t63)) % 0.17/0.39 (step @p46 :rule refl :args (@t65)) % 0.17/0.39 (step @p47 :rule bool-double-not-elim :args (@t26)) % 0.17/0.39 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t27) @t65))) % 0.17/0.39 (step @p49 :rule bool-and-de-morgan :args (@t27 @t64 true)) % 0.17/0.39 (step @p50 :rule trans :premises (@p49 @p48)) % 0.17/0.39 (step @p51 :rule nary_cong :premises (@p50 @p45) :args ((or (not @t72) @t63))) % 0.17/0.39 (step @p52 :rule trans :premises (@p51 @p44)) % 0.17/0.39 (step @p53 :rule bool-impl-elim :args (@t72 @t63)) % 0.17/0.39 (step @p54 :rule trans :premises (@p53 @p52)) % 0.17/0.39 (step @p55 :rule cong :premises (@p54) :args ((forall @t30 (=> @t72 @t63)))) % 0.17/0.39 (step @p56 :rule trans :premises (@p55 @p43)) % 0.17/0.39 (step @p57 :rule bool-double-not-elim :args (@t15)) % 0.17/0.39 (step @p58 :rule cong :premises (@p57) :args (@t73)) % 0.17/0.39 (step @p59 :rule cong :premises (@p58) :args (@t74)) % 0.17/0.39 (step @p60 :rule exists-elim :args ((= @t18 @t74))) % 0.17/0.39 (step @p61 :rule trans :premises (@p60 @p59)) % 0.17/0.39 (step @p62 :rule refl :args (0)) % 0.17/0.39 (step @p63 :rule refl :args (@t1)) % 0.17/0.39 (step @p64 :rule arith_poly_norm :args ((= @t20 @t34))) % 0.17/0.39 (step @p65 :rule refl :args (@t11)) % 0.17/0.39 (step @p66 :rule refl :args (@t22)) % 0.17/0.39 (step @p67 :rule cong :premises (@p66 @p65 @p64) :args (@t23)) % 0.17/0.39 (step @p68 :rule cong :premises (@p67 @p63 @p62) :args (@t24)) % 0.17/0.39 (step @p69 :rule refl :args (@t3)) % 0.17/0.39 (step @p70 :rule cong :premises (@p69 @p68) :args (@t25)) % 0.17/0.39 (step @p71 :rule refl :args (@t27)) % 0.17/0.39 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t28)) % 0.17/0.39 (step @p73 :rule cong :premises (@p72 @p61) :args (@t29)) % 0.17/0.39 (step @p74 :rule cong :premises (@p73) :args (@t31)) % 0.17/0.39 (step @p75 :rule trans :premises (@p74 @p56)) % 0.17/0.39 (step @p76 :rule cong :premises (@p75) :args (@t32)) % 0.17/0.39 (step @p77 :rule eq_resolve :premises (@p3 @p76)) % 0.17/0.39 (step @p78 :rule skolemize :premises (@p77)) % 0.17/0.39 (step @p79 :rule cnf_or_neg :args (@t81 0)) % 0.17/0.39 (step @p80 :rule chain_m_resolution :premises (@p79 @p78) :args (@t82 @t83 @t84)) % 0.17/0.39 (assume-push @p328 @t85) % 0.17/0.39 (assume-push @p329 @t85) % 0.17/0.39 (step @p83 :rule refl :args (@t43)) % 0.17/0.39 (step @p84 :rule cong :premises (@p83 @p328) :args (@t79)) % 0.17/0.39 (step-pop @p330 :rule scope :premises (@p84)) % 0.17/0.39 (step @p85 :rule process_scope :premises (@p330) :args (@t80)) % 0.17/0.39 (step @p87 :rule modus_ponens :premises (@p328 @p85)) % 0.17/0.39 (step-pop @p331 :rule scope :premises (@p87)) % 0.17/0.39 (step @p88 :rule process_scope :premises (@p331) :args (@t80)) % 0.17/0.39 (step @p90 :rule implies_elim :premises (@p88)) % 0.17/0.39 (step @p91 :rule reordering :premises (@p90) :args ((or @t80 @t86))) % 0.17/0.39 (step @p92 :rule chain_m_resolution :premises (@p91 @p80) :args (@t86 @t83 (@list @t80))) % 0.17/0.39 (step @p93 :rule cnf_or_pos :args (@t90)) % 0.17/0.39 (step @p94 :rule reordering :premises (@p93) :args ((or @t85 @t89 (not @t90)))) % 0.17/0.39 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p20) :args (@t89 @t91 (@list @t85 @t90))) % 0.17/0.39 (step @p96 :rule bool-double-not-elim :args (@t76)) % 0.17/0.39 (step @p97 :rule refl :args (@t81)) % 0.17/0.39 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t81 (not @t77)))) % 0.17/0.39 (step @p99 :rule cnf_or_neg :args (@t81 1)) % 0.17/0.39 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.17/0.39 (step @p101 :rule reordering :premises (@p100) :args ((or @t76 @t81))) % 0.17/0.39 (step @p102 :rule chain_m_resolution :premises (@p101 @p78) :args (@t76 @t83 @t84)) % 0.17/0.39 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t46))) % 0.17/0.39 (step @p104 :rule arith_poly_norm :args ((= (* 1 (- @t87 @t92)) (* -1 (- @t92 @t87))))) % 0.17/0.39 (step @p105 :rule arith_poly_norm_rel :premises (@p104) :args ((= @t94 @t93))) % 0.17/0.39 (step @p106 :rule arith_poly_norm :args ((= (* 1 (- @t42 @t46)) (* -1 (- @t46 @t42))))) % 0.17/0.39 (step @p107 :rule arith_poly_norm_rel :premises (@p106) :args ((= @t96 @t95))) % 0.17/0.39 (step @p108 :rule nary_cong :premises (@p107 @p105) :args (@t97)) % 0.17/0.39 (step @p109 :rule refl :args (@t12)) % 0.17/0.39 (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t12 @t97))) % 0.17/0.39 (assume-push @p332 @t12) % 0.17/0.39 (step @p112 :rule instantiate :premises (@p2) :args ((@list @t47 @t42 @t46 @t45))) % 0.17/0.39 (step-pop @p333 :rule scope :premises (@p112)) % 0.17/0.39 (step @p113 :rule process_scope :premises (@p333) :args (@t97)) % 0.17/0.39 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 0.17/0.39 (step @p116 :rule implies_elim :premises (@p115)) % 0.17/0.39 (step @p117 :rule chain_m_resolution :premises (@p116 @p2) :args (@t98 @t55 @t99)) % 0.17/0.39 (step @p118 :rule instantiate :premises (@p102) :args ((@list @t57))) % 0.17/0.39 (step @p119 :rule arith_poly_norm :args ((= (* 1 (- 0 @t100)) (* -1 (- @t100 0))))) % 0.17/0.39 (step @p120 :rule arith_poly_norm_rel :premises (@p119) :args ((= @t102 @t101))) % 0.17/0.39 (step @p121 :rule cong :premises (@p11 @p120) :args ((=> @t54 @t102))) % 0.17/0.39 (assume-push @p334 @t54) % 0.17/0.39 (step @p123 :rule instantiate :premises (@p8) :args (@t103)) % 0.17/0.39 (step-pop @p335 :rule scope :premises (@p123)) % 0.17/0.39 (step @p124 :rule 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:args (@t104 @t55 @t56)) % 0.17/0.39 (step @p139 :rule refl :args (@t106)) % 0.17/0.39 (step @p140 :rule refl :args (@t108)) % 0.17/0.39 (step @p141 :rule refl :args (@t109)) % 0.17/0.39 (step @p142 :rule refl :args (@t111)) % 0.17/0.39 (step @p143 :rule refl :args (@t112)) % 0.17/0.39 (step @p144 :rule refl :args (@t113)) % 0.17/0.39 (step @p145 :rule bool-double-not-elim :args (@t80)) % 0.17/0.39 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142 @p141 @p140 @p139) :args ((or (not @t82) @t113 @t112 @t111 @t109 @t108 @t106))) % 0.17/0.39 (assume-push @p338 @t82) % 0.17/0.39 (assume-push @p339 @t104) % 0.17/0.39 (assume-push @p340 @t101) % 0.17/0.39 (assume-push @p341 @t110) % 0.17/0.39 (assume-push @p342 @t89) % 0.17/0.39 (assume-push @p343 @t107) % 0.17/0.39 (assume-push @p344 @t110) % 0.17/0.39 (assume-push @p345 @t101) % 0.17/0.39 (assume-push @p346 @t104) % 0.17/0.39 (assume-push @p347 @t82) % 0.17/0.39 (assume-push @p348 @t107) % 0.17/0.39 (assume-push @p349 @t89) % 0.17/0.39 (step @p159 :rule false_intro :premises (@p80)) % 0.17/0.39 (step @p160 :rule symm :premises (@p103)) % 0.17/0.39 (step @p161 :rule symm :premises (@p342)) % 0.17/0.39 (step @p162 :rule trans :premises (@p161 @p160)) % 0.17/0.39 (step @p163 :rule symm :premises (@p118)) % 0.17/0.39 (step @p123 :rule instantiate :premises (@p8) :args (@t103)) % 0.17/0.39 (step @p164 :rule trans :premises (@p138 @p123 @p163)) % 0.17/0.39 (step @p165 :rule cong :premises (@p164 @p162) :args (@t93)) % 0.17/0.39 (step @p166 :rule trans :premises (@p165 @p159)) % 0.17/0.39 (step @p167 :rule false_elim :premises (@p166)) % 0.17/0.39 (step-pop @p350 :rule scope :premises (@p167)) % 0.17/0.39 (step-pop @p351 :rule scope :premises (@p350)) % 0.17/0.39 (step-pop @p352 :rule scope :premises (@p351)) % 0.17/0.39 (step-pop @p353 :rule scope :premises (@p352)) % 0.17/0.39 (step-pop @p354 :rule scope :premises (@p353)) % 0.17/0.39 (step-pop @p355 :rule scope :premises (@p354)) % 0.17/0.39 (step @p168 :rule process_scope :premises (@p355) :args (@t106)) % 0.17/0.39 (step @p175 :rule and_intro :premises (@p118 @p128 @p138 @p80 @p103 @p342)) % 0.17/0.39 (step @p176 :rule modus_ponens :premises (@p175 @p168)) % 0.17/0.39 (step-pop @p356 :rule scope :premises (@p176)) % 0.17/0.39 (step-pop @p357 :rule scope :premises (@p356)) % 0.17/0.39 (step-pop @p358 :rule scope :premises (@p357)) % 0.17/0.39 (step-pop @p359 :rule scope :premises (@p358)) % 0.17/0.39 (step-pop @p360 :rule scope :premises (@p359)) % 0.17/0.39 (step-pop @p361 :rule scope :premises (@p360)) % 0.17/0.39 (step @p177 :rule process_scope :premises (@p361) :args (@t106)) % 0.17/0.39 (step @p184 :rule implies_elim :premises (@p177)) % 0.17/0.39 (step @p185 :rule cnf_and_neg :args (@t114)) % 0.17/0.39 (step @p186 :rule resolution :premises (@p185 @p184) :args (true @t114)) % 0.17/0.39 (step @p187 :rule eq_resolve :premises (@p186 @p146)) % 0.17/0.39 (step @p188 :rule reordering :premises (@p187) :args ((or @t80 @t113 @t112 @t109 @t108 @t111 @t106))) % 0.17/0.39 (step @p189 :rule chain_m_resolution :premises (@p188 @p80 @p138 @p128 @p95 @p103 @p118) :args (@t106 (@list true false false false false false) (@list @t80 @t104 @t101 @t89 @t107 @t110))) % 0.17/0.39 (step @p190 :rule cnf_or_pos :args (@t98)) % 0.17/0.39 (step @p191 :rule reordering :premises (@p190) :args ((or @t93 @t95 (not @t98)))) % 0.17/0.39 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p117) :args (@t95 @t91 (@list @t93 @t98))) % 0.17/0.39 (step @p193 :rule arith_poly_norm :args ((= (* 1 (- @t115 @t49)) (* -1 (- @t49 @t115))))) % 0.17/0.39 (step @p194 :rule arith_poly_norm_rel :premises (@p193) :args ((= @t117 @t116))) % 0.17/0.39 (step @p195 :rule refl :args (@t118)) % 0.17/0.39 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t119)) % 0.17/0.39 (step @p197 :rule cong :premises (@p109 @p196) :args ((=> @t12 @t119))) % 0.17/0.39 (assume-push @p362 @t12) % 0.17/0.39 (step @p199 :rule instantiate :premises (@p2) :args ((@list @t48 @t57 @t42 0))) % 0.17/0.39 (step-pop @p363 :rule scope :premises (@p199)) % 0.17/0.39 (step @p200 :rule process_scope :premises (@p363) :args (@t119)) % 0.17/0.39 (step @p202 :rule eq_resolve :premises (@p200 @p197)) % 0.17/0.39 (step @p203 :rule implies_elim :premises (@p202)) % 0.17/0.39 (step @p204 :rule chain_m_resolution :premises (@p203 @p2) :args (@t120 @t55 @t99)) % 0.17/0.39 (step @p205 :rule refl :args (@t121)) % 0.17/0.39 (step @p206 :rule refl :args (@t122)) % 0.17/0.39 (step @p207 :rule bool-double-not-elim :args (@t85)) % 0.17/0.39 (step @p208 :rule nary_cong :premises (@p207 @p206 @p205) :args ((or (not @t86) @t122 @t121))) % 0.17/0.39 (assume-push @p364 @t118) % 0.17/0.39 (assume-push @p365 @t95) % 0.17/0.39 (assume-push @p366 @t86) % 0.17/0.39 (step @p212 :rule evaluate :args (@t123)) % 0.17/0.39 (step @p213 :rule symm :premises (@p365)) % 0.17/0.39 (step @p214 :rule trans :premises (@p364 @p213)) % 0.17/0.39 (step @p215 :rule true_intro :premises (@p214)) % 0.17/0.39 (step @p216 :rule false_intro :premises (@p366)) % 0.17/0.39 (step @p217 :rule symm :premises (@p216)) % 0.17/0.39 (step @p218 :rule trans :premises (@p217 @p215)) % 0.17/0.39 (step @p219 false :rule eq_resolve :premises (@p218 @p212)) % 0.17/0.39 (step-pop @p367 :rule scope :premises (@p219)) % 0.17/0.39 (step-pop @p368 :rule scope :premises (@p367)) % 0.17/0.39 (step-pop @p369 :rule scope :premises (@p368)) % 0.17/0.39 (step @p220 :rule process_scope :premises (@p369) :args (false)) % 0.17/0.39 (assume-push @p370 @t86) % 0.17/0.39 (assume-push @p371 @t118) % 0.17/0.39 (assume-push @p372 @t95) % 0.17/0.39 (step @p227 :rule and_intro :premises (@p371 @p372 @p370)) % 0.17/0.39 (step-pop @p373 :rule scope :premises (@p227)) % 0.17/0.39 (step-pop @p374 :rule scope :premises (@p373)) % 0.17/0.39 (step-pop @p375 :rule scope :premises (@p374)) % 0.17/0.39 (step @p228 :rule process_scope :premises (@p375) :args (@t124)) % 0.17/0.39 (step @p232 :rule implies_elim :premises (@p228)) % 0.17/0.39 (step @p233 :rule resolution :premises (@p232 @p220) :args (true @t124)) % 0.17/0.39 (step @p234 :rule not_and :premises (@p233)) % 0.17/0.39 (step @p235 :rule eq_resolve :premises (@p234 @p208)) % 0.17/0.39 (step @p236 :rule chain_m_resolution :premises (@p235 @p92 @p192) :args (@t122 @t91 (@list @t85 @t95))) % 0.17/0.39 (step @p237 :rule cnf_or_pos :args (@t120)) % 0.17/0.39 (step @p238 :rule reordering :premises (@p237) :args ((or @t118 @t116 (not @t120)))) % 0.17/0.39 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p204) :args (@t116 @t91 (@list @t118 @t120))) % 0.17/0.39 (assume-push @p376 @t89) % 0.17/0.39 (assume-push @p377 @t125) % 0.17/0.39 (assume-push @p378 @t126) % 0.17/0.39 (assume-push @p379 @t116) % 0.17/0.39 (assume-push @p380 @t128) % 0.17/0.39 (step @p212 :rule evaluate :args (@t123)) % 0.17/0.39 (step @p245 :rule trans :premises (@p379 @p378 @p376)) % 0.17/0.39 (step @p246 :rule symm :premises (@p245)) % 0.17/0.39 (step @p247 :rule trans :premises (@p377 @p376 @p246)) % 0.17/0.39 (step @p248 :rule true_intro :premises (@p247)) % 0.17/0.39 (step @p249 :rule false_intro :premises (@p380)) % 0.17/0.39 (step @p250 :rule symm :premises (@p249)) % 0.17/0.39 (step @p251 :rule trans :premises (@p250 @p248)) % 0.17/0.39 (step @p252 false :rule eq_resolve :premises (@p251 @p212)) % 0.17/0.39 (step-pop @p381 :rule scope :premises (@p252)) % 0.17/0.39 (step-pop @p382 :rule scope :premises (@p381)) % 0.17/0.39 (step-pop @p383 :rule scope :premises (@p382)) % 0.17/0.39 (step-pop @p384 :rule scope :premises (@p383)) % 0.17/0.39 (step-pop @p385 :rule scope :premises (@p384)) % 0.17/0.39 (step @p253 :rule process_scope :premises (@p385) :args (false)) % 0.17/0.39 (assume-push @p386 @t52) % 0.17/0.39 (assume-push @p387 @t116) % 0.17/0.39 (assume-push @p388 @t89) % 0.17/0.39 (assume-push @p389 @t107) % 0.17/0.39 (assume-push @p390 @t95) % 0.17/0.39 (assume-push @p391 @t52) % 0.17/0.39 (assume-push @p392 @t127) % 0.17/0.39 (step @p266 :rule evaluate :args ((>= -1 0))) % 0.17/0.39 (step @p267 :rule refl :args (0)) % 0.17/0.39 (step @p268 :rule arith_poly_norm :args ((= @t131 -1))) % 0.17/0.39 (step @p269 :rule cong :premises (@p268 @p267) :args ((>= @t131 0))) % 0.17/0.39 (step @p270 :rule trans :premises (@p269 @p266)) % 0.17/0.39 (step @p271 :rule arith-geq-norm1-int :args (@t130 @t129)) % 0.17/0.39 (step @p272 :rule trans :premises (@p271 @p270)) % 0.17/0.39 (step @p273 :rule arith-elim-leq :args (@t129 @t130)) % 0.17/0.39 (step @p274 :rule trans :premises (@p273 @p272)) % 0.17/0.39 (step @p275 :rule arith_poly_norm :args ((= @t132 @t130))) % 0.17/0.39 (step @p276 :rule arith_poly_norm :args ((= @t134 @t129))) % 0.17/0.39 (step @p277 :rule arith_poly_norm :args ((= @t136 @t134))) % 0.17/0.39 (step @p278 :rule trans :premises (@p277 @p276)) % 0.17/0.39 (step @p279 :rule cong :premises (@p278 @p275) :args ((<= @t136 @t132))) % 0.17/0.39 (step @p280 :rule trans :premises (@p279 @p274)) % 0.17/0.39 (step @p281 :rule arith_poly_norm :args ((= (* 1 (- @t135 -1)) @t51))) % 0.17/0.39 (step @p282 :rule arith_poly_norm_rel :premises (@p281) :args ((= (= @t135 -1) @t52))) % 0.17/0.39 (step @p283 :rule symm :premises (@p282)) % 0.17/0.39 (step @p284 :rule eq_resolve :premises (@p19 @p283)) % 0.17/0.39 (step @p285 :rule arith_mult_neg :args (-1 @t127)) % 0.17/0.39 (step @p286 :rule evaluate :args ((< -1 0))) % 0.17/0.39 (step @p287 :rule true_elim :premises (@p286)) % 0.17/0.39 (step @p288 :rule and_intro :premises (@p287 @p392)) % 0.17/0.39 (step @p289 :rule modus_ponens :premises (@p288 @p285)) % 0.17/0.39 (step @p290 :rule arith_sum_ub :premises (@p289 @p284)) % 0.17/0.39 (step @p291 false :rule eq_resolve :premises (@p290 @p280)) % 0.17/0.39 (step-pop @p393 :rule scope :premises (@p291)) % 0.17/0.39 (step @p292 :rule process_scope :premises (@p393) :args (false)) % 0.17/0.39 (step-pop @p394 :rule scope :premises (@p292)) % 0.17/0.39 (step @p294 :rule process_scope :premises (@p394) :args (@t128)) % 0.17/0.39 (step @p296 :rule modus_ponens :premises (@p19 @p294)) % 0.17/0.39 (assume-push @p395 @t95) % 0.17/0.39 (step @p298 :rule symm :premises (@p390)) % 0.17/0.39 (step @p299 :rule refl :args (@t75)) % 0.17/0.39 (step @p300 :rule cong :premises (@p299 @p298) :args (@t115)) % 0.17/0.39 (step-pop @p396 :rule scope :premises (@p300)) % 0.17/0.39 (step @p301 :rule process_scope :premises (@p396) :args (@t126)) % 0.17/0.39 (step @p303 :rule modus_ponens :premises (@p390 @p301)) % 0.17/0.39 (assume-push @p397 @t107) % 0.17/0.39 (assume-push @p398 @t95) % 0.17/0.39 (step @p306 :rule symm :premises (@p390)) % 0.17/0.39 (step @p83 :rule refl :args (@t43)) % 0.17/0.39 (step @p307 :rule cong :premises (@p83 @p306) :args (@t44)) % 0.17/0.39 (step @p308 :rule trans :premises (@p307 @p103)) % 0.17/0.39 (step-pop @p399 :rule scope :premises (@p308)) % 0.17/0.39 (step-pop @p400 :rule scope :premises (@p399)) % 0.17/0.39 (step @p309 :rule process_scope :premises (@p400) :args (@t125)) % 0.17/0.39 (step @p312 :rule and_intro :premises (@p103 @p390)) % 0.17/0.39 (step @p313 :rule modus_ponens :premises (@p312 @p309)) % 0.17/0.39 (step @p314 :rule and_intro :premises (@p388 @p313 @p303 @p387 @p296)) % 0.17/0.39 (step-pop @p401 :rule scope :premises (@p314)) % 0.17/0.39 (step-pop @p402 :rule scope :premises (@p401)) % 0.17/0.39 (step-pop @p403 :rule scope :premises (@p402)) % 0.17/0.39 (step-pop @p404 :rule scope :premises (@p403)) % 0.17/0.39 (step-pop @p405 :rule scope :premises (@p404)) % 0.17/0.39 (step @p315 :rule process_scope :premises (@p405) :args (@t137)) % 0.17/0.39 (step @p321 :rule implies_elim :premises (@p315)) % 0.17/0.39 (step @p322 :rule resolution :premises (@p321 @p253) :args (true @t137)) % 0.17/0.39 (step @p323 :rule not_and :premises (@p322)) % 0.17/0.39 (step @p324 :rule reordering :premises (@p323) :args ((or (not @t52) (not @t116) @t109 @t121 @t108))) % 0.17/0.39 (step @p325 false :rule chain_m_resolution :premises (@p324 @p239 @p192 @p103 @p95 @p19) :args (false (@list false false false false false) (@list @t116 @t95 @t107 @t89 @t52))) % 0.17/0.39 ) % 0.17/0.39 % SZS output end Proof % 0.17/0.39 % cvc5 exiting %------------------------------------------------------------------------------