%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT010_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:14:20 AM UTC 2026 % Result : Theorem 45.46s 45.70s % Output : Proof 45.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT010_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 : Mon Jun 1 22:25:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_ARI % 45.46/45.70 --- Run --finite-model-find --decision=internal at 45... % 45.46/45.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.46/45.70 % SZS status Theorem % 45.46/45.70 % SZS output start Proof % 45.46/45.70 ( % 45.46/45.70 (declare-sort tptp.array 0) % 45.46/45.70 (declare-const tptp.read (-> tptp.array Int Int)) % 45.46/45.70 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 45.46/45.70 (define @t1 () (@var "W" Int)) % 45.46/45.70 (define @t2 () (@var "V" Int)) % 45.46/45.70 (define @t3 () (@var "U" tptp.array)) % 45.46/45.70 (define @t4 () (tptp.read (tptp.write @t3 @t2 @t1) @t2)) % 45.46/45.70 (define @t5 () (= @t4 @t1)) % 45.46/45.70 (define @t6 () (@list @t3 @t2 @t1)) % 45.46/45.70 (define @t7 () (forall @t6 @t5)) % 45.46/45.70 (define @t8 () (@var "Z" Int)) % 45.46/45.70 (define @t9 () (@var "X" tptp.array)) % 45.46/45.70 (define @t10 () (@var "X1" Int)) % 45.46/45.70 (define @t11 () (@var "Y" Int)) % 45.46/45.70 (define @t12 () (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8))))) % 45.46/45.70 (define @t13 () (@var "X" Int)) % 45.46/45.70 (define @t14 () (tptp.read @t3 @t13)) % 45.46/45.70 (define @t15 () (@list @t13)) % 45.46/45.70 (define @t16 () (forall @t15 (< @t14 100))) % 45.46/45.70 (define @t17 () (@var "V" tptp.array)) % 45.46/45.70 (define @t18 () (tptp.read @t17 @t1)) % 45.46/45.70 (define @t19 () (@list @t1)) % 45.46/45.70 (define @t20 () (forall @t19 (< @t18 100))) % 45.46/45.70 (define @t21 () (tptp.write (tptp.write (tptp.write (tptp.write @t17 3 33) 4 444) 5 55) 4 44)) % 45.46/45.70 (define @t22 () (= @t3 @t21)) % 45.46/45.70 (define @t23 () (and @t22 @t20)) % 45.46/45.70 (define @t24 () (=> @t23 @t16)) % 45.46/45.70 (define @t25 () (@list @t3 @t17)) % 45.46/45.70 (define @t26 () (forall @t25 @t24)) % 45.46/45.70 (define @t27 () (not @t26)) % 45.46/45.70 (define @t28 () (@var "BOUND_VARIABLE_7483" Int)) % 45.46/45.70 (define @t29 () (not (>= (tptp.read @t21 @t28) 100))) % 45.46/45.70 (define @t30 () (forall @t19 (not (>= @t18 100)))) % 45.46/45.70 (define @t31 () (not @t30)) % 45.46/45.70 (define @t32 () (or @t31 @t29)) % 45.46/45.70 (define @t33 () (not (= @t21 @t21))) % 45.46/45.70 (define @t34 () (or @t33 @t31 @t29)) % 45.46/45.70 (define @t35 () (@list @t17 @t28)) % 45.46/45.70 (define @t36 () (not (>= (tptp.read @t3 @t28) 100))) % 45.46/45.70 (define @t37 () (not @t22)) % 45.46/45.70 (define @t38 () (or @t37 @t37 @t31 @t36)) % 45.46/45.70 (define @t39 () (@list @t3)) % 45.46/45.70 (define @t40 () (or @t37 @t31 @t36)) % 45.46/45.70 (define @t41 () (forall @t39 @t40)) % 45.46/45.70 (define @t42 () (forall @t35 @t41)) % 45.46/45.70 (define @t43 () (forall (@list @t17 @t28 @t3) @t40)) % 45.46/45.70 (define @t44 () (forall (@list @t3 @t17 @t28) @t40)) % 45.46/45.70 (define @t45 () (@list @t28)) % 45.46/45.70 (define @t46 () (forall @t45 @t40)) % 45.46/45.70 (define @t47 () (forall @t45 @t36)) % 45.46/45.70 (define @t48 () (or @t37 @t31 @t47)) % 45.46/45.70 (define @t49 () (forall @t15 (not (>= @t14 100)))) % 45.46/45.70 (define @t50 () (or @t37 @t31 @t49)) % 45.46/45.70 (define @t51 () (and @t22 @t30)) % 45.46/45.70 (define @t52 () (forall @t35 @t32)) % 45.46/45.70 (define @t53 () (@quantifiers_skolemize @t52 1)) % 45.46/45.70 (define @t54 () (@quantifiers_skolemize @t52 0)) % 45.46/45.70 (define @t55 () (tptp.write @t54 3 33)) % 45.46/45.70 (define @t56 () (tptp.write @t55 4 444)) % 45.46/45.70 (define @t57 () (tptp.write @t56 5 55)) % 45.46/45.70 (define @t58 () (tptp.write @t57 4 44)) % 45.46/45.70 (define @t59 () (tptp.read @t58 @t53)) % 45.46/45.70 (define @t60 () (>= @t59 100)) % 45.46/45.70 (define @t61 () (not @t60)) % 45.46/45.70 (define @t62 () (forall @t19 (not (>= (tptp.read @t54 @t1) 100)))) % 45.46/45.70 (define @t63 () (not @t62)) % 45.46/45.70 (define @t64 () (or @t63 @t61)) % 45.46/45.70 (define @t65 () (@list true)) % 45.46/45.70 (define @t66 () (@list @t64)) % 45.46/45.70 (define @t67 () (tptp.read @t57 @t53)) % 45.46/45.70 (define @t68 () (= @t59 @t67)) % 45.46/45.70 (define @t69 () (= @t53 4)) % 45.46/45.70 (define @t70 () (= 4 @t53)) % 45.46/45.70 (define @t71 () (or @t70 @t68)) % 45.46/45.70 (define @t72 () (or @t69 @t68)) % 45.46/45.70 (define @t73 () (@list false)) % 45.46/45.70 (define @t74 () (@list @t12)) % 45.46/45.70 (define @t75 () (= @t1 @t4)) % 45.46/45.70 (define @t76 () (tptp.read @t58 4)) % 45.46/45.70 (define @t77 () (= @t76 44)) % 45.46/45.70 (define @t78 () (= 44 @t76)) % 45.46/45.70 (define @t79 () (forall @t6 @t75)) % 45.46/45.70 (define @t80 () (@list @t57 4 44)) % 45.46/45.70 (define @t81 () (@list @t79)) % 45.46/45.70 (define @t82 () (= 44 @t59)) % 45.46/45.70 (define @t83 () (* -1 100)) % 45.46/45.70 (define @t84 () (+ 44 @t83)) % 45.46/45.70 (define @t85 () (* -1 @t59)) % 45.46/45.70 (define @t86 () (+ @t59 @t85)) % 45.46/45.70 (define @t87 () (= @t86 0)) % 45.46/45.70 (define @t88 () (< -1 0)) % 45.46/45.70 (define @t89 () (and @t82 @t60)) % 45.46/45.70 (define @t90 () (@list true false)) % 45.46/45.70 (define @t91 () (tptp.read @t55 @t53)) % 45.46/45.70 (define @t92 () (tptp.read @t56 @t53)) % 45.46/45.70 (define @t93 () (= @t92 @t91)) % 45.46/45.70 (define @t94 () (or @t70 @t93)) % 45.46/45.70 (define @t95 () (or @t69 @t93)) % 45.46/45.70 (define @t96 () (tptp.read @t54 @t53)) % 45.46/45.70 (define @t97 () (= @t91 @t96)) % 45.46/45.70 (define @t98 () (= @t53 3)) % 45.46/45.70 (define @t99 () (= 3 @t53)) % 45.46/45.70 (define @t100 () (or @t99 @t97)) % 45.46/45.70 (define @t101 () (or @t98 @t97)) % 45.46/45.70 (define @t102 () (tptp.read @t55 3)) % 45.46/45.70 (define @t103 () (= @t102 33)) % 45.46/45.70 (define @t104 () (= 33 @t102)) % 45.46/45.70 (define @t105 () (@list @t54 3 33)) % 45.46/45.70 (define @t106 () (= 33 @t59)) % 45.46/45.70 (define @t107 () (+ 33 @t83)) % 45.46/45.70 (define @t108 () (= @t67 @t92)) % 45.46/45.70 (define @t109 () (= @t59 @t92)) % 45.46/45.70 (define @t110 () (and @t106 @t60)) % 45.46/45.70 (define @t111 () (= @t53 5)) % 45.46/45.70 (define @t112 () (= 5 @t53)) % 45.46/45.70 (define @t113 () (or @t112 @t108)) % 45.46/45.70 (define @t114 () (or @t111 @t108)) % 45.46/45.70 (define @t115 () (not @t111)) % 45.46/45.70 (define @t116 () (tptp.read @t57 5)) % 45.46/45.70 (define @t117 () (= @t116 55)) % 45.46/45.70 (define @t118 () (= 55 @t116)) % 45.46/45.70 (define @t119 () (@list @t56 5 55)) % 45.46/45.70 (define @t120 () (= 55 @t59)) % 45.46/45.70 (define @t121 () (+ 55 @t83)) % 45.46/45.70 (define @t122 () (and @t120 @t60)) % 45.46/45.70 (define @t123 () (@list @t53)) % 45.46/45.70 (define @t124 () (>= @t96 100)) % 45.46/45.70 (define @t125 () (not @t97)) % 45.46/45.70 (define @t126 () (not @t93)) % 45.46/45.70 (define @t127 () (not @t108)) % 45.46/45.70 (define @t128 () (not @t68)) % 45.46/45.70 (define @t129 () (not @t124)) % 45.46/45.70 (define @t130 () (< @t96 100)) % 45.46/45.70 (define @t131 () (+ 100 @t83 0 0 0 0)) % 45.46/45.70 (define @t132 () (* -1 @t67)) % 45.46/45.70 (define @t133 () (* -1 @t92)) % 45.46/45.70 (define @t134 () (* -1 @t91)) % 45.46/45.70 (define @t135 () (* -1 @t96)) % 45.46/45.70 (define @t136 () (+ @t135 @t96 @t134 @t91 @t133 @t92 @t85 @t132 @t67 @t59)) % 45.46/45.70 (define @t137 () (+ @t92 @t134)) % 45.46/45.70 (define @t138 () (+ @t91 @t135)) % 45.46/45.70 (define @t139 () (+ @t67 @t133)) % 45.46/45.70 (define @t140 () (+ @t59 @t132)) % 45.46/45.70 (define @t141 () (+ @t96 @t85 @t140 @t139 @t138 @t137)) % 45.46/45.70 (define @t142 () (>= @t141 @t131)) % 45.46/45.70 (define @t143 () (and @t93 @t97 @t108 @t68 @t60 @t129)) % 45.46/45.70 (assume @p1 @t7) % 45.46/45.70 (assume @p2 @t12) % 45.46/45.70 (assume @p3 @t27) % 45.46/45.70 (assume @p4 true) % 45.46/45.70 (step @p5 :rule aci_norm :args ((= (or false @t31 @t29) @t32))) % 45.46/45.70 (step @p6 :rule refl :args (@t29)) % 45.46/45.70 (step @p7 :rule refl :args (@t31)) % 45.46/45.70 (step @p8 :rule evaluate :args ((not true))) % 45.46/45.70 (step @p9 :rule eq-refl :args (@t21)) % 45.46/45.70 (step @p10 :rule cong :premises (@p9) :args (@t33)) % 45.46/45.70 (step @p11 :rule trans :premises (@p10 @p8)) % 45.46/45.70 (step @p12 :rule nary_cong :premises (@p11 @p7 @p6) :args (@t34)) % 45.46/45.70 (step @p13 :rule trans :premises (@p12 @p5)) % 45.46/45.70 (step @p14 :rule cong :premises (@p13) :args ((forall @t35 @t34))) % 45.46/45.70 (step @p15 :rule quant-var-elim-eq :args ((= (forall @t39 @t38) @t34))) % 45.46/45.70 (step @p16 :rule aci_norm :args ((= @t40 @t38))) % 45.46/45.70 (step @p17 :rule cong :premises (@p16) :args (@t41)) % 45.46/45.70 (step @p18 :rule trans :premises (@p17 @p15)) % 45.46/45.70 (step @p19 :rule cong :premises (@p18) :args (@t42)) % 45.46/45.70 (step @p20 :rule quant-merge-prenex :args ((= @t42 @t43))) % 45.46/45.70 (step @p21 :rule symm :premises (@p20)) % 45.46/45.70 (step @p22 :rule quant_var_reordering :args ((= @t44 @t43))) % 45.46/45.70 (step @p23 :rule trans :premises (@p22 @p21 @p19)) % 45.46/45.70 (step @p24 :rule trans :premises (@p23 @p14)) % 45.46/45.70 (step @p25 :rule quant-merge-prenex :args ((= (forall @t25 @t46) @t44))) % 45.46/45.70 (step @p26 :rule alpha_equiv :args (@t47 (@list @t28) (@list @t13))) % 45.46/45.70 (step @p27 :rule refl :args (@t31)) % 45.46/45.70 (step @p28 :rule refl :args (@t37)) % 45.46/45.70 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t48)) % 45.46/45.70 (step @p30 :rule quant-miniscope-or :args ((= @t46 @t48))) % 45.46/45.70 (step @p31 :rule trans :premises (@p30 @p29)) % 45.46/45.70 (step @p32 :rule symm :premises (@p31)) % 45.46/45.70 (step @p33 :rule cong :premises (@p32) :args ((forall @t25 @t50))) % 45.46/45.70 (step @p34 :rule trans :premises (@p33 @p25)) % 45.46/45.70 (step @p35 :rule trans :premises (@p34 @p24)) % 45.46/45.70 (step @p36 :rule aci_norm :args ((= (or (or @t37 @t31) @t49) @t50))) % 45.46/45.70 (step @p37 :rule refl :args (@t49)) % 45.46/45.70 (step @p38 :rule bool-and-de-morgan :args (@t22 @t30 true)) % 45.46/45.70 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t51) @t49))) % 45.46/45.70 (step @p40 :rule trans :premises (@p39 @p36)) % 45.46/45.70 (step @p41 :rule bool-impl-elim :args (@t51 @t49)) % 45.46/45.70 (step @p42 :rule trans :premises (@p41 @p40)) % 45.46/45.70 (step @p43 :rule cong :premises (@p42) :args ((forall @t25 (=> @t51 @t49)))) % 45.46/45.70 (step @p44 :rule trans :premises (@p43 @p35)) % 45.46/45.70 (step @p45 :rule arith-elim-lt :args (@t14 100)) % 45.46/45.70 (step @p46 :rule cong :premises (@p45) :args (@t16)) % 45.46/45.70 (step @p47 :rule arith-elim-lt :args (@t18 100)) % 45.46/45.70 (step @p48 :rule cong :premises (@p47) :args (@t20)) % 45.46/45.70 (step @p49 :rule refl :args (@t22)) % 45.46/45.70 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t23)) % 45.46/45.70 (step @p51 :rule cong :premises (@p50 @p46) :args (@t24)) % 45.46/45.70 (step @p52 :rule cong :premises (@p51) :args (@t26)) % 45.46/45.70 (step @p53 :rule trans :premises (@p52 @p44)) % 45.46/45.70 (step @p54 :rule cong :premises (@p53) :args (@t27)) % 45.46/45.70 (step @p55 :rule eq_resolve :premises (@p3 @p54)) % 45.46/45.70 (step @p56 :rule skolemize :premises (@p55)) % 45.46/45.70 (step @p57 :rule bool-double-not-elim :args (@t60)) % 45.46/45.70 (step @p58 :rule refl :args (@t64)) % 45.46/45.70 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t64 (not @t61)))) % 45.46/45.70 (step @p60 :rule cnf_or_neg :args (@t64 1)) % 45.46/45.70 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 45.46/45.70 (step @p62 :rule reordering :premises (@p61) :args ((or @t60 @t64))) % 45.46/45.70 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t60 @t65 @t66)) % 45.46/45.70 (step @p64 :rule refl :args (@t68)) % 45.46/45.70 (step @p65 :rule arith_poly_norm :args ((= (* -4 (- 4 @t53)) (* 4 (- @t53 4))))) % 45.46/45.70 (step @p66 :rule arith_poly_norm_rel :premises (@p65) :args ((= @t70 @t69))) % 45.46/45.70 (step @p67 :rule nary_cong :premises (@p66 @p64) :args (@t71)) % 45.46/45.70 (step @p68 :rule refl :args (@t12)) % 45.46/45.70 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t12 @t71))) % 45.46/45.70 (assume-push @p434 @t12) % 45.46/45.70 (step @p71 :rule instantiate :premises (@p2) :args ((@list @t57 4 @t53 44))) % 45.46/45.70 (step-pop @p435 :rule scope :premises (@p71)) % 45.46/45.70 (step @p72 :rule process_scope :premises (@p435) :args (@t71)) % 45.46/45.70 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 45.46/45.70 (step @p75 :rule implies_elim :premises (@p74)) % 45.46/45.70 (step @p76 :rule chain_m_resolution :premises (@p75 @p2) :args (@t72 @t73 @t74)) % 45.46/45.70 (step @p77 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 45.46/45.70 (step @p78 :rule arith_poly_norm_rel :premises (@p77) :args ((= @t5 @t75))) % 45.46/45.70 (step @p79 :rule cong :premises (@p78) :args (@t7)) % 45.46/45.70 (step @p80 :rule eq_resolve :premises (@p1 @p79)) % 45.46/45.70 (step @p81 :rule arith_poly_norm :args ((= (* -44 (- 44 @t76)) (* 44 (- @t76 44))))) % 45.46/45.70 (step @p82 :rule arith_poly_norm_rel :premises (@p81) :args ((= @t78 @t77))) % 45.46/45.70 (step @p83 :rule refl :args (@t79)) % 45.46/45.70 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t79 @t78))) % 45.46/45.70 (assume-push @p436 @t79) % 45.46/45.70 (step @p86 :rule instantiate :premises (@p80) :args (@t80)) % 45.46/45.70 (step-pop @p437 :rule scope :premises (@p86)) % 45.46/45.70 (step @p87 :rule process_scope :premises (@p437) :args (@t78)) % 45.46/45.70 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 45.46/45.70 (step @p90 :rule implies_elim :premises (@p89)) % 45.46/45.70 (step @p91 :rule chain_m_resolution :premises (@p90 @p80) :args (@t77 @t73 @t81)) % 45.46/45.70 (assume-push @p438 @t82) % 45.46/45.70 (assume-push @p439 @t60) % 45.46/45.70 (assume-push @p440 (= @t59 44)) % 45.46/45.70 (step @p95 :rule evaluate :args ((<= 0 -56))) % 45.46/45.70 (step @p96 :rule evaluate :args ((+ 44 -100))) % 45.46/45.70 (step @p97 :rule evaluate :args (@t83)) % 45.46/45.70 (step @p98 :rule refl :args (44)) % 45.46/45.70 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t84)) % 45.46/45.70 (step @p100 :rule trans :premises (@p99 @p96)) % 45.46/45.70 (step @p101 :rule arith_poly_norm :args (@t87)) % 45.46/45.70 (step @p102 :rule cong :premises (@p101 @p100) :args ((<= @t86 @t84))) % 45.46/45.70 (step @p103 :rule trans :premises (@p102 @p95)) % 45.46/45.70 (step @p104 :rule arith_mult_neg :args (-1 @t60)) % 45.46/45.70 (step @p105 :rule evaluate :args (@t88)) % 45.46/45.70 (step @p106 :rule true_elim :premises (@p105)) % 45.46/45.70 (step @p107 :rule and_intro :premises (@p106 @p63)) % 45.46/45.70 (step @p108 :rule modus_ponens :premises (@p107 @p104)) % 45.46/45.70 (step @p109 :rule arith_sum_ub :premises (@p440 @p108)) % 45.46/45.70 (step @p110 false :rule eq_resolve :premises (@p109 @p103)) % 45.46/45.70 (step-pop @p441 :rule scope :premises (@p110)) % 45.46/45.70 (step @p111 :rule process_scope :premises (@p441) :args (false)) % 45.46/45.70 (step @p113 :rule symm :premises (@p438)) % 45.46/45.70 (step @p114 false :rule contra :premises (@p113 @p111)) % 45.46/45.70 (step-pop @p442 :rule scope :premises (@p114)) % 45.46/45.70 (step-pop @p443 :rule scope :premises (@p442)) % 45.46/45.70 (step @p115 :rule process_scope :premises (@p443) :args (false)) % 45.46/45.70 (assume-push @p444 @t60) % 45.46/45.70 (assume-push @p445 @t77) % 45.46/45.70 (assume-push @p446 @t69) % 45.46/45.70 (assume-push @p447 @t70) % 45.46/45.70 (assume-push @p448 @t78) % 45.46/45.70 (step @p123 :rule refl :args (@t58)) % 45.46/45.70 (step @p124 :rule cong :premises (@p123 @p447) :args (@t76)) % 45.46/45.70 (step @p86 :rule instantiate :premises (@p80) :args (@t80)) % 45.46/45.70 (step @p125 :rule trans :premises (@p86 @p124)) % 45.46/45.70 (step-pop @p449 :rule scope :premises (@p125)) % 45.46/45.70 (step-pop @p450 :rule scope :premises (@p449)) % 45.46/45.70 (step @p126 :rule process_scope :premises (@p450) :args (@t82)) % 45.46/45.70 (step @p86 :rule instantiate :premises (@p80) :args (@t80)) % 45.46/45.70 (assume-push @p451 @t69) % 45.46/45.70 (step @p130 :rule symm :premises (@p446)) % 45.46/45.70 (step-pop @p452 :rule scope :premises (@p130)) % 45.46/45.70 (step @p131 :rule process_scope :premises (@p452) :args (@t70)) % 45.46/45.70 (step @p133 :rule modus_ponens 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0))) % 45.46/45.70 (step @p368 :rule refl :args (0)) % 45.46/45.70 (step @p97 :rule evaluate :args (@t83)) % 45.46/45.70 (step @p369 :rule refl :args (100)) % 45.46/45.70 (step @p370 :rule nary_cong :premises (@p369 @p97 @p368 @p368 @p368 @p368) :args (@t131)) % 45.46/45.70 (step @p371 :rule trans :premises (@p370 @p367)) % 45.46/45.70 (step @p372 :rule arith_poly_norm :args ((= @t136 0))) % 45.46/45.70 (step @p373 :rule arith_poly_norm :args ((= @t141 @t136))) % 45.46/45.70 (step @p374 :rule trans :premises (@p373 @p372)) % 45.46/45.70 (step @p375 :rule cong :premises (@p374 @p371) :args (@t142)) % 45.46/45.70 (step @p376 :rule trans :premises (@p375 @p366)) % 45.46/45.70 (step @p377 :rule cong :premises (@p376) :args ((not @t142))) % 45.46/45.70 (step @p378 :rule trans :premises (@p377 @p8)) % 45.46/45.70 (step @p379 :rule arith-elim-lt :args (@t141 @t131)) % 45.46/45.70 (step @p380 :rule trans :premises (@p379 @p378)) % 45.46/45.70 (step @p381 :rule arith_poly_norm :args ((= (* 1 (- @t137 0)) (* 1 (- @t92 @t91))))) % 45.46/45.70 (step @p382 :rule arith_poly_norm_rel :premises (@p381) :args ((= (= @t137 0) @t93))) % 45.46/45.70 (step @p383 :rule symm :premises (@p382)) % 45.46/45.70 (step @p384 :rule eq_resolve :premises (@p524 @p383)) % 45.46/45.70 (step @p385 :rule arith_poly_norm :args ((= (* 1 (- @t138 0)) (* 1 (- @t91 @t96))))) % 45.46/45.70 (step @p386 :rule arith_poly_norm_rel :premises (@p385) :args ((= (= @t138 0) @t97))) % 45.46/45.70 (step @p387 :rule symm :premises (@p386)) % 45.46/45.70 (step @p388 :rule eq_resolve :premises (@p525 @p387)) % 45.46/45.70 (step @p389 :rule arith_poly_norm :args ((= (* 1 (- @t139 0)) (* 1 (- @t67 @t92))))) % 45.46/45.70 (step @p390 :rule arith_poly_norm_rel :premises (@p389) :args ((= (= @t139 0) @t108))) % 45.46/45.70 (step @p391 :rule symm :premises (@p390)) % 45.46/45.70 (step @p392 :rule eq_resolve :premises (@p526 @p391)) % 45.46/45.70 (step @p393 :rule arith_poly_norm :args ((= (* 1 (- @t140 0)) (* 1 (- @t59 @t67))))) % 45.46/45.70 (step @p394 :rule arith_poly_norm_rel :premises (@p393) :args ((= (= @t140 0) @t68))) % 45.46/45.70 (step @p395 :rule symm :premises (@p394)) % 45.46/45.70 (step @p396 :rule eq_resolve :premises (@p527 @p395)) % 45.46/45.70 (step @p104 :rule arith_mult_neg :args (-1 @t60)) % 45.46/45.70 (step @p105 :rule evaluate :args (@t88)) % 45.46/45.70 (step @p106 :rule true_elim :premises (@p105)) % 45.46/45.70 (step @p107 :rule and_intro :premises (@p106 @p63)) % 45.46/45.70 (step @p108 :rule modus_ponens :premises (@p107 @p104)) % 45.46/45.70 (step @p397 :rule symm :premises (@p361)) % 45.46/45.70 (step @p398 :rule instantiate :premises (@p346) :args (@t123)) % 45.46/45.70 (step @p399 :rule eq_resolve :premises (@p398 @p397)) % 45.46/45.70 (step @p400 :rule arith_sum_ub :premises (@p399 @p108 @p396 @p392 @p388 @p384)) % 45.46/45.70 (step @p401 false :rule eq_resolve :premises (@p400 @p380)) % 45.46/45.70 (step-pop @p531 :rule scope :premises (@p401)) % 45.46/45.70 (step @p402 :rule process_scope :premises (@p531) :args (false)) % 45.46/45.70 (step @p404 :rule eq_resolve :premises (@p402 @p363)) % 45.46/45.70 (step @p405 :rule eq_resolve :premises (@p404 @p364)) % 45.46/45.70 (step @p397 :rule symm :premises (@p361)) % 45.46/45.70 (step @p406 :rule eq_resolve :premises (@p347 @p397)) % 45.46/45.70 (step @p407 false :rule contra :premises (@p406 @p405)) % 45.46/45.70 (step-pop @p532 :rule scope :premises (@p407)) % 45.46/45.70 (step-pop @p533 :rule scope :premises (@p532)) % 45.46/45.70 (step-pop @p534 :rule scope :premises (@p533)) % 45.46/45.70 (step-pop @p535 :rule scope :premises (@p534)) % 45.46/45.70 (step-pop @p536 :rule scope :premises (@p535)) % 45.46/45.70 (step-pop @p537 :rule scope :premises (@p536)) % 45.46/45.70 (step @p408 :rule process_scope :premises (@p537) :args (false)) % 45.46/45.70 (assume-push @p538 @t60) % 45.46/45.70 (assume-push @p539 @t68) % 45.46/45.70 (assume-push @p540 @t108) % 45.46/45.70 (assume-push @p541 @t93) % 45.46/45.70 (assume-push @p542 @t97) % 45.46/45.70 (assume-push @p543 @t129) % 45.46/45.70 (step @p421 :rule and_intro :premises (@p541 @p542 @p540 @p539 @p63 @p347)) % 45.46/45.70 (step-pop @p544 :rule scope :premises (@p421)) % 45.46/45.70 (step-pop @p545 :rule scope :premises (@p544)) % 45.46/45.70 (step-pop @p546 :rule scope :premises (@p545)) % 45.46/45.70 (step-pop @p547 :rule scope :premises (@p546)) % 45.46/45.70 (step-pop @p548 :rule scope :premises (@p547)) % 45.46/45.70 (step-pop @p549 :rule scope :premises (@p548)) % 45.46/45.70 (step @p422 :rule process_scope :premises (@p549) :args (@t143)) % 45.46/45.70 (step @p429 :rule implies_elim :premises (@p422)) % 45.46/45.70 (step @p430 :rule resolution :premises (@p429 @p408) :args (true @t143)) % 45.46/45.70 (step @p431 :rule not_and :premises (@p430)) % 45.46/45.70 (step @p432 :rule eq_resolve :premises (@p431 @p354)) % 45.46/45.70 (step @p433 false :rule chain_m_resolution :premises (@p432 @p347 @p340 @p278 @p160 @p147 @p63) :args (false (@list true false false false false false) (@list @t124 @t108 @t97 @t93 @t68 @t60))) % 45.46/45.70 ) % 45.46/45.70 % SZS output end Proof % 45.46/45.70 % cvc5 exiting %------------------------------------------------------------------------------