%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI660_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:08:04 AM UTC 2026 % Result : Theorem 0.43s 0.64s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI660_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n009.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:31:44 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_ARI % 0.43/0.64 --- Run --finite-model-find --decision=internal at 45... % 0.43/0.64 % SZS status Theorem % 0.43/0.64 % SZS output start Proof % 0.43/0.64 ( % 0.43/0.64 (declare-const tptp.a Int) % 0.43/0.64 (define @t1 () (* tptp.a tptp.a)) % 0.43/0.64 (define @t2 () (* @t1 tptp.a)) % 0.43/0.64 (define @t3 () (<= 11 @t2)) % 0.43/0.64 (define @t4 () (= @t3 (<= 3 tptp.a))) % 0.43/0.64 (define @t5 () (not @t4)) % 0.43/0.64 (define @t6 () (* tptp.a tptp.a tptp.a)) % 0.43/0.64 (define @t7 () (* tptp.a tptp.a)) % 0.43/0.64 (define @t8 () (>= tptp.a 0)) % 0.43/0.64 (define @t9 () (>= tptp.a 3)) % 0.43/0.64 (define @t10 () (not @t9)) % 0.43/0.64 (define @t11 () (not @t8)) % 0.43/0.64 (define @t12 () (not @t11)) % 0.43/0.64 (define @t13 () (+ -1 1)) % 0.43/0.64 (define @t14 () (>= tptp.a @t13)) % 0.43/0.64 (define @t15 () (not @t14)) % 0.43/0.64 (define @t16 () (<= tptp.a -1)) % 0.43/0.64 (define @t17 () (* -1 3)) % 0.43/0.64 (define @t18 () (+ -1 @t17)) % 0.43/0.64 (define @t19 () (* -1 tptp.a)) % 0.43/0.64 (define @t20 () (+ tptp.a @t19)) % 0.43/0.64 (define @t21 () (= @t20 0)) % 0.43/0.64 (define @t22 () (< -1 0)) % 0.43/0.64 (define @t23 () (and @t11 @t9)) % 0.43/0.64 (define @t24 () (>= tptp.a 2)) % 0.43/0.64 (define @t25 () (not @t24)) % 0.43/0.64 (define @t26 () (not @t25)) % 0.43/0.64 (define @t27 () (+ 1 1)) % 0.43/0.64 (define @t28 () (>= tptp.a @t27)) % 0.43/0.64 (define @t29 () (not @t28)) % 0.43/0.64 (define @t30 () (<= tptp.a 1)) % 0.43/0.64 (define @t31 () (not @t30)) % 0.43/0.64 (define @t32 () (not (>= 1 tptp.a))) % 0.43/0.64 (define @t33 () (> tptp.a 1)) % 0.43/0.64 (define @t34 () (<= 0 -2)) % 0.43/0.64 (define @t35 () (+ 1 @t17)) % 0.43/0.64 (define @t36 () (and @t25 @t9)) % 0.43/0.64 (define @t37 () (>= tptp.a -1)) % 0.43/0.64 (define @t38 () (not @t37)) % 0.43/0.64 (define @t39 () (ite @t8 @t24 @t38)) % 0.43/0.64 (define @t40 () (= tptp.a 0)) % 0.43/0.64 (define @t41 () (<= 0 -3)) % 0.43/0.64 (define @t42 () (+ 0 @t17)) % 0.43/0.64 (define @t43 () (and @t40 @t9)) % 0.43/0.64 (define @t44 () (not @t39)) % 0.43/0.64 (define @t45 () (not @t40)) % 0.43/0.64 (define @t46 () (and @t39 @t45)) % 0.43/0.64 (define @t47 () (not @t45)) % 0.43/0.64 (define @t48 () (>= @t7 1)) % 0.43/0.64 (define @t49 () (+ 0 1)) % 0.43/0.64 (define @t50 () (>= @t7 @t49)) % 0.43/0.64 (define @t51 () (and @t48 @t9)) % 0.43/0.64 (define @t52 () (not @t48)) % 0.43/0.64 (define @t53 () (* 3 @t7)) % 0.43/0.64 (define @t54 () (* -1 @t6)) % 0.43/0.64 (define @t55 () (+ @t53 @t54)) % 0.43/0.64 (define @t56 () (+ @t55 1)) % 0.43/0.64 (define @t57 () (* -1 -3)) % 0.43/0.64 (define @t58 () (* @t1 @t57)) % 0.43/0.64 (define @t59 () (>= @t2 @t58)) % 0.43/0.64 (define @t60 () (<= @t1 0)) % 0.43/0.64 (define @t61 () (> @t1 0)) % 0.43/0.64 (define @t62 () (and @t61 @t9)) % 0.43/0.64 (define @t63 () (>= tptp.a @t57)) % 0.43/0.64 (define @t64 () (and @t61 @t63)) % 0.43/0.64 (define @t65 () (>= @t55 1)) % 0.43/0.64 (define @t66 () (not @t65)) % 0.43/0.64 (define @t67 () (>= @t7 0)) % 0.43/0.64 (define @t68 () (not @t67)) % 0.43/0.64 (define @t69 () (>= @t7 @t13)) % 0.43/0.64 (define @t70 () (<= @t7 -1)) % 0.43/0.64 (define @t71 () (* -1 1)) % 0.43/0.64 (define @t72 () (+ -1 @t71)) % 0.43/0.64 (define @t73 () (* -1 @t7)) % 0.43/0.64 (define @t74 () (+ @t7 @t73)) % 0.43/0.64 (define @t75 () (and @t68 @t48)) % 0.43/0.64 (define @t76 () (+ tptp.a @t73)) % 0.43/0.64 (define @t77 () (>= @t76 1)) % 0.43/0.64 (define @t78 () (+ @t19 1)) % 0.43/0.64 (define @t79 () (>= @t73 @t78)) % 0.43/0.64 (define @t80 () (- tptp.a)) % 0.43/0.64 (define @t81 () (- @t7)) % 0.43/0.64 (define @t82 () (<= @t81 @t80)) % 0.43/0.64 (define @t83 () (+ tptp.a @t7)) % 0.43/0.64 (define @t84 () (>= @t83 0)) % 0.43/0.64 (define @t85 () (<= @t81 tptp.a)) % 0.43/0.64 (define @t86 () (ite @t8 (> @t81 tptp.a) (> @t81 @t80))) % 0.43/0.64 (define @t87 () (>= @t83 1)) % 0.43/0.64 (define @t88 () (>= @t7 @t78)) % 0.43/0.64 (define @t89 () (<= @t7 @t80)) % 0.43/0.64 (define @t90 () (>= @t76 0)) % 0.43/0.64 (define @t91 () (>= tptp.a @t7)) % 0.43/0.64 (define @t92 () (ite @t8 (> @t7 tptp.a) (> @t7 @t80))) % 0.43/0.64 (define @t93 () (ite @t67 @t92 @t86)) % 0.43/0.64 (define @t94 () (>= tptp.a 1)) % 0.43/0.64 (define @t95 () (not @t94)) % 0.43/0.64 (define @t96 () (- 1)) % 0.43/0.64 (define @t97 () (<= @t80 @t96)) % 0.43/0.64 (define @t98 () (<= @t80 1)) % 0.43/0.64 (define @t99 () (>= 1 0)) % 0.43/0.64 (define @t100 () (ite @t99 (> @t80 1) (> @t80 @t96))) % 0.43/0.64 (define @t101 () (<= tptp.a @t96)) % 0.43/0.64 (define @t102 () (ite @t99 @t33 (> tptp.a @t96))) % 0.43/0.64 (define @t103 () (ite @t8 @t102 @t100)) % 0.43/0.64 (define @t104 () (and @t103 @t45)) % 0.43/0.64 (define @t105 () (abs @t7)) % 0.43/0.64 (define @t106 () (abs tptp.a)) % 0.43/0.64 (define @t107 () (+ @t106 (* -1 @t105))) % 0.43/0.64 (define @t108 () (>= @t106 @t105)) % 0.43/0.64 (define @t109 () (* 1 tptp.a)) % 0.43/0.64 (define @t110 () (abs @t109)) % 0.43/0.64 (define @t111 () (<= @t105 @t110)) % 0.43/0.64 (define @t112 () (not @t90)) % 0.43/0.64 (define @t113 () (ite @t8 @t112 @t87)) % 0.43/0.64 (define @t114 () (ite @t67 @t113 (ite @t8 (not @t84) @t77))) % 0.43/0.64 (define @t115 () (>= @t6 11)) % 0.43/0.64 (define @t116 () (not @t115)) % 0.43/0.64 (define @t117 () (< @t6 11)) % 0.43/0.64 (define @t118 () (not true)) % 0.43/0.64 (define @t119 () (* -3 3)) % 0.43/0.64 (define @t120 () (* 3 -1)) % 0.43/0.64 (define @t121 () (+ 11 @t120 1 @t119)) % 0.43/0.64 (define @t122 () (* -3 tptp.a)) % 0.43/0.64 (define @t123 () (+ @t122 @t53 (* -3 @t7) @t54 @t6 (* 3 tptp.a))) % 0.43/0.64 (define @t124 () (+ @t6 (* 3 @t76) @t55 @t122)) % 0.43/0.64 (define @t125 () (>= @t124 @t121)) % 0.43/0.64 (define @t126 () (and @t9 @t66 @t112 @t116)) % 0.43/0.64 (define @t127 () (>= @t6 0)) % 0.43/0.64 (define @t128 () (< @t6 0)) % 0.43/0.64 (define @t129 () (+ 0 -11)) % 0.43/0.64 (define @t130 () (* -1 11)) % 0.43/0.64 (define @t131 () (+ 0 @t130)) % 0.43/0.64 (define @t132 () (+ @t6 @t54)) % 0.43/0.64 (define @t133 () (= @t132 0)) % 0.43/0.64 (define @t134 () (>= @t132 @t131)) % 0.43/0.64 (define @t135 () (@list false)) % 0.43/0.64 (define @t136 () (@list @t115)) % 0.43/0.64 (define @t137 () (not @t127)) % 0.43/0.64 (define @t138 () (< tptp.a 0)) % 0.43/0.64 (define @t139 () (= @t6 1)) % 0.43/0.64 (define @t140 () (+ 1 @t130)) % 0.43/0.64 (define @t141 () (and @t139 @t115)) % 0.43/0.64 (define @t142 () (= tptp.a 1)) % 0.43/0.64 (define @t143 () (* 1 1 1)) % 0.43/0.64 (define @t144 () (not @t142)) % 0.43/0.64 (define @t145 () (@list true)) % 0.43/0.64 (define @t146 () (= @t6 8)) % 0.43/0.64 (define @t147 () (+ 8 @t130)) % 0.43/0.64 (define @t148 () (and @t146 @t115)) % 0.43/0.64 (define @t149 () (= tptp.a 2)) % 0.43/0.64 (define @t150 () (* 2 2 2)) % 0.43/0.64 (define @t151 () (not @t149)) % 0.43/0.64 (define @t152 () (and @t151 @t10 @t24)) % 0.43/0.64 (define @t153 () (@list true true)) % 0.43/0.64 (define @t154 () (and @t144 @t25 @t94)) % 0.43/0.64 (define @t155 () (and @t95 @t8)) % 0.43/0.64 (define @t156 () (* 0 0 0)) % 0.43/0.64 (define @t157 () (= @t6 0)) % 0.43/0.64 (define @t158 () (and @t157 @t115)) % 0.43/0.64 (assume @p1 @t5) % 0.43/0.64 (assume @p2 true) % 0.43/0.64 (step @p3 :rule arith-elim-leq :args (3 tptp.a)) % 0.43/0.64 (step @p4 :rule arith-elim-leq :args (11 @t6)) % 0.43/0.64 (step @p5 :rule arith_poly_norm :args ((= (* @t7 tptp.a) @t6))) % 0.43/0.64 (step @p6 :rule refl :args (tptp.a)) % 0.43/0.64 (step @p7 :rule arith_poly_norm :args ((= @t1 @t7))) % 0.43/0.64 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t2)) % 0.43/0.64 (step @p9 :rule trans :premises (@p8 @p5)) % 0.43/0.64 (step @p10 :rule refl :args (11)) % 0.43/0.64 (step @p11 :rule cong :premises (@p10 @p9) :args (@t3)) % 0.43/0.64 (step @p12 :rule trans :premises (@p11 @p4)) % 0.43/0.64 (step @p13 :rule cong :premises (@p12 @p3) :args (@t4)) % 0.43/0.64 (step @p14 :rule cong :premises (@p13) :args (@t5)) % 0.43/0.64 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.43/0.64 (step @p16 :rule not_equiv_elim1 :premises (@p15)) % 0.43/0.64 (step @p17 :rule bool-double-not-elim :args (@t8)) % 0.43/0.64 (step @p18 :rule refl :args (@t10)) % 0.43/0.64 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t10 @t12))) % 0.43/0.64 (assume-push @p773 @t11) % 0.43/0.64 (assume-push @p774 @t9) % 0.43/0.64 (step @p22 :rule evaluate :args (@t13)) % 0.43/0.64 (step @p23 :rule refl :args (tptp.a)) % 0.43/0.64 (step @p24 :rule cong :premises (@p23 @p22) :args (@t14)) % 0.43/0.64 (step @p25 :rule cong :premises (@p24) :args (@t15)) % 0.43/0.64 (step @p26 :rule arith-leq-norm :args (tptp.a -1)) % 0.43/0.64 (step @p27 :rule trans :premises (@p26 @p25)) % 0.43/0.64 (step @p28 :rule cong :premises (@p27) :args ((not @t16))) % 0.43/0.64 (step @p29 :rule trans :premises (@p28 @p17)) % 0.43/0.64 (step @p30 :rule arith-elim-leq :args (tptp.a -1)) % 0.43/0.64 (step @p31 :rule symm :premises (@p30)) % 0.43/0.64 (step @p32 :rule cong :premises (@p31) :args ((not (>= -1 tptp.a)))) % 0.43/0.64 (step @p33 :rule arith-elim-gt :args (tptp.a -1)) % 0.43/0.64 (step @p34 :rule trans :premises (@p33 @p32)) % 0.43/0.64 (step @p35 :rule trans :premises (@p34 @p29)) % 0.43/0.64 (step @p36 :rule cong :premises (@p35) :args ((not (> tptp.a -1)))) % 0.43/0.64 (step @p37 :rule symm :premises (@p36)) % 0.43/0.64 (step @p38 :rule trans :premises (@p27 @p37)) % 0.43/0.64 (step @p39 :rule arith-elim-lt :args (tptp.a 0)) % 0.43/0.64 (step @p40 :rule symm :premises (@p39)) % 0.43/0.64 (step @p41 :rule eq_resolve :premises (@p773 @p40)) % 0.43/0.64 (step @p42 :rule int_tight_ub :premises (@p41)) % 0.43/0.64 (step @p43 :rule eq_resolve :premises (@p42 @p38)) % 0.43/0.64 (step @p44 :rule symm :premises (@p35)) % 0.43/0.64 (step @p45 :rule trans :premises (@p29 @p44)) % 0.43/0.64 (assume-push @p775 @t16) % 0.43/0.64 (step @p47 :rule evaluate :args ((<= 0 -4))) % 0.43/0.64 (step @p48 :rule evaluate :args ((+ -1 -3))) % 0.43/0.64 (step @p49 :rule evaluate :args (@t17)) % 0.43/0.64 (step @p50 :rule refl :args (-1)) % 0.43/0.64 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t18)) % 0.43/0.64 (step @p52 :rule trans :premises (@p51 @p48)) % 0.43/0.64 (step @p53 :rule arith_poly_norm :args (@t21)) % 0.43/0.64 (step @p54 :rule cong :premises (@p53 @p52) :args ((<= @t20 @t18))) % 0.43/0.64 (step @p55 :rule trans :premises (@p54 @p47)) % 0.43/0.64 (step @p56 :rule arith_mult_neg :args (-1 @t9)) % 0.43/0.64 (step @p57 :rule evaluate :args (@t22)) % 0.43/0.64 (step @p58 :rule true_elim :premises (@p57)) % 0.43/0.64 (step @p59 :rule and_intro :premises (@p58 @p774)) % 0.43/0.64 (step @p60 :rule modus_ponens :premises (@p59 @p56)) % 0.43/0.64 (step @p61 :rule arith_sum_ub :premises (@p775 @p60)) % 0.43/0.64 (step @p62 false :rule eq_resolve :premises (@p61 @p55)) % 0.43/0.64 (step-pop @p776 :rule scope :premises (@p62)) % 0.43/0.64 (step @p63 :rule process_scope :premises (@p776) :args (false)) % 0.43/0.64 (step @p65 :rule eq_resolve :premises (@p63 @p45)) % 0.43/0.64 (step @p66 false :rule contra :premises (@p65 @p43)) % 0.43/0.64 (step-pop @p777 :rule scope :premises (@p66)) % 0.43/0.64 (step-pop @p778 :rule scope :premises (@p777)) % 0.43/0.64 (step @p67 :rule process_scope :premises (@p778) :args (false)) % 0.43/0.64 (assume-push @p779 @t9) % 0.43/0.64 (assume-push @p780 @t11) % 0.43/0.64 (step @p72 :rule and_intro :premises (@p780 @p779)) % 0.43/0.64 (step-pop @p781 :rule scope :premises (@p72)) % 0.43/0.64 (step-pop @p782 :rule scope :premises (@p781)) % 0.43/0.64 (step @p73 :rule process_scope :premises (@p782) :args (@t23)) % 0.43/0.64 (step @p76 :rule implies_elim :premises (@p73)) % 0.43/0.64 (step @p77 :rule resolution :premises (@p76 @p67) :args (true @t23)) % 0.43/0.64 (step @p78 :rule not_and :premises (@p77)) % 0.43/0.64 (step @p79 :rule eq_resolve :premises (@p78 @p19)) % 0.43/0.64 (step @p80 :rule bool-double-not-elim :args (@t24)) % 0.43/0.64 (step @p81 :rule nary_cong :premises (@p18 @p80) :args ((or @t10 @t26))) % 0.43/0.64 (assume-push @p783 @t25) % 0.43/0.64 (assume-push @p784 @t9) % 0.43/0.64 (step @p84 :rule evaluate :args (@t27)) % 0.43/0.64 (step @p23 :rule refl :args (tptp.a)) % 0.43/0.64 (step @p85 :rule cong :premises (@p23 @p84) :args (@t28)) % 0.43/0.64 (step @p86 :rule cong :premises (@p85) :args (@t29)) % 0.43/0.64 (step @p87 :rule arith-leq-norm :args (tptp.a 1)) % 0.43/0.64 (step @p88 :rule trans :premises (@p87 @p86)) % 0.43/0.64 (step @p89 :rule cong :premises (@p88) :args (@t31)) % 0.43/0.64 (step @p90 :rule trans :premises (@p89 @p80)) % 0.43/0.64 (step @p91 :rule arith-elim-leq :args (tptp.a 1)) % 0.43/0.64 (step @p92 :rule symm :premises (@p91)) % 0.43/0.64 (step @p93 :rule cong :premises (@p92) :args (@t32)) % 0.43/0.64 (step @p94 :rule arith-elim-gt :args (tptp.a 1)) % 0.43/0.64 (step @p95 :rule trans :premises (@p94 @p93)) % 0.43/0.64 (step @p96 :rule trans :premises (@p95 @p90)) % 0.43/0.64 (step @p97 :rule cong :premises (@p96) :args ((not @t33))) % 0.43/0.64 (step @p98 :rule symm :premises (@p97)) % 0.43/0.64 (step @p99 :rule trans :premises (@p88 @p98)) % 0.43/0.64 (step @p100 :rule arith-elim-lt :args (tptp.a 2)) % 0.43/0.64 (step @p101 :rule symm :premises (@p100)) % 0.43/0.64 (step @p102 :rule eq_resolve :premises (@p783 @p101)) % 0.43/0.64 (step @p103 :rule int_tight_ub :premises (@p102)) % 0.43/0.64 (step @p104 :rule eq_resolve :premises (@p103 @p99)) % 0.43/0.64 (step @p105 :rule symm :premises (@p96)) % 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@t151) % 0.37/0.65 (step @p670 :rule and_intro :premises (@p873 @p871 @p872)) % 0.37/0.65 (step-pop @p874 :rule scope :premises (@p670)) % 0.37/0.65 (step-pop @p875 :rule scope :premises (@p874)) % 0.37/0.65 (step-pop @p876 :rule scope :premises (@p875)) % 0.37/0.65 (step @p671 :rule process_scope :premises (@p876) :args (@t152)) % 0.37/0.65 (step @p675 :rule implies_elim :premises (@p671)) % 0.37/0.65 (step @p676 :rule resolution :premises (@p675 @p663) :args (true @t152)) % 0.37/0.65 (step @p677 :rule not_and :premises (@p676)) % 0.37/0.65 (step @p678 :rule eq_resolve :premises (@p677 @p653)) % 0.37/0.65 (step @p679 :rule chain_m_resolution :premises (@p678 @p649 @p647) :args (@t25 @t153 (@list @t9 @t149))) % 0.37/0.65 (step @p680 :rule bool-double-not-elim :args (@t142)) % 0.37/0.65 (step @p681 :rule refl :args (@t95)) % 0.37/0.65 (step @p682 :rule nary_cong :premises (@p681 @p80 @p680) :args ((or @t95 @t26 (not @t144)))) % 0.37/0.65 (assume-push @p877 @t144) % 0.37/0.65 (assume-push @p878 @t25) % 0.37/0.65 (assume-push @p879 @t94) % 0.37/0.65 (step @p100 :rule arith-elim-lt :args (tptp.a 2)) % 0.37/0.65 (step @p101 :rule symm :premises (@p100)) % 0.37/0.65 (step @p686 :rule eq_resolve :premises (@p878 @p101)) % 0.37/0.65 (step @p687 :rule int_tight_ub :premises (@p686)) % 0.37/0.65 (step @p688 :rule arith_trichotomy :premises (@p687 @p879)) % 0.37/0.65 (step @p689 false :rule contra :premises (@p688 @p877)) % 0.37/0.65 (step-pop @p880 :rule scope :premises (@p689)) % 0.37/0.65 (step-pop @p881 :rule scope :premises (@p880)) % 0.37/0.65 (step-pop @p882 :rule scope :premises (@p881)) % 0.37/0.65 (step @p690 :rule process_scope :premises (@p882) :args (false)) % 0.37/0.65 (assume-push @p883 @t94) % 0.37/0.65 (assume-push @p884 @t25) % 0.37/0.65 (assume-push @p885 @t144) % 0.37/0.65 (step @p697 :rule and_intro :premises (@p885 @p884 @p883)) % 0.37/0.65 (step-pop @p886 :rule scope :premises (@p697)) % 0.37/0.65 (step-pop @p887 :rule scope :premises (@p886)) % 0.37/0.65 (step-pop @p888 :rule scope :premises (@p887)) % 0.37/0.65 (step @p698 :rule process_scope :premises (@p888) :args (@t154)) % 0.37/0.65 (step @p702 :rule implies_elim :premises (@p698)) % 0.37/0.65 (step @p703 :rule resolution :premises (@p702 @p690) :args (true @t154)) % 0.37/0.65 (step @p704 :rule not_and :premises (@p703)) % 0.37/0.65 (step @p705 :rule eq_resolve :premises (@p704 @p682)) % 0.37/0.65 (step @p706 :rule chain_m_resolution :premises (@p705 @p679 @p604) :args (@t95 @t153 (@list @t24 @t142))) % 0.37/0.65 (step @p707 :rule refl :args (@t40)) % 0.37/0.65 (step @p708 :rule refl :args (@t11)) % 0.37/0.65 (step @p709 :rule bool-double-not-elim :args (@t94)) % 0.37/0.65 (step @p710 :rule nary_cong :premises (@p709 @p708 @p707) :args ((or (not @t95) @t11 @t40))) % 0.37/0.65 (assume-push @p889 @t95) % 0.37/0.65 (assume-push @p890 @t8) % 0.37/0.65 (assume-push @p891 @t8) % 0.37/0.65 (assume-push @p892 @t95) % 0.37/0.65 (step @p715 :rule arith-elim-lt :args (tptp.a 1)) % 0.37/0.65 (step @p716 :rule symm :premises (@p715)) % 0.37/0.65 (step @p717 :rule eq_resolve :premises (@p889 @p716)) % 0.37/0.65 (step @p718 :rule int_tight_ub :premises (@p717)) % 0.37/0.65 (step @p719 :rule arith_trichotomy :premises (@p890 @p718)) % 0.37/0.65 (step-pop @p893 :rule scope :premises (@p719)) % 0.37/0.65 (step-pop @p894 :rule scope :premises (@p893)) % 0.37/0.65 (step @p720 :rule process_scope :premises (@p894) :args (@t40)) % 0.37/0.65 (step @p723 :rule and_intro :premises (@p890 @p889)) % 0.37/0.65 (step @p724 :rule modus_ponens :premises (@p723 @p720)) % 0.37/0.65 (step-pop @p895 :rule scope :premises (@p724)) % 0.37/0.65 (step-pop @p896 :rule scope :premises (@p895)) % 0.37/0.65 (step @p725 :rule process_scope :premises (@p896) :args (@t40)) % 0.37/0.65 (step @p728 :rule implies_elim :premises (@p725)) % 0.37/0.65 (step @p729 :rule cnf_and_neg :args (@t155)) % 0.37/0.65 (step @p730 :rule resolution :premises (@p729 @p728) :args (true @t155)) % 0.37/0.65 (step @p731 :rule eq_resolve :premises (@p730 @p710)) % 0.37/0.65 (step @p732 :rule reordering :premises (@p731) :args ((or @t94 @t40 @t11))) % 0.37/0.65 (step @p733 :rule chain_m_resolution :premises (@p732 @p706 @p561) :args (@t40 (@list true false) (@list @t94 @t8))) % 0.37/0.65 (assume-push @p897 @t40) % 0.37/0.65 (step @p735 :rule evaluate :args ((= 0 0))) % 0.37/0.65 (step @p736 :rule evaluate :args (@t156)) % 0.37/0.65 (step @p737 :rule cong :premises (@p736 @p143) :args ((= @t156 0))) % 0.37/0.65 (step @p738 :rule trans :premises (@p737 @p735)) % 0.37/0.65 (step @p739 :rule nary_cong :premises (@p897 @p897 @p897) :args (@t6)) % 0.37/0.65 (step @p740 :rule cong :premises (@p739 @p143) :args (@t157)) % 0.37/0.65 (step @p741 :rule trans :premises (@p740 @p738)) % 0.37/0.65 (step @p742 :rule true_elim :premises (@p741)) % 0.37/0.65 (step-pop @p898 :rule scope :premises (@p742)) % 0.37/0.65 (step @p743 :rule process_scope :premises (@p898) :args (@t157)) % 0.37/0.65 (step @p745 :rule implies_elim :premises (@p743)) % 0.37/0.65 (step @p746 :rule chain_m_resolution :premises (@p745 @p733) :args (@t157 @t135 (@list @t40))) % 0.37/0.65 (assume-push @p899 @t157) % 0.37/0.65 (assume-push @p900 @t115) % 0.37/0.65 (assume-push @p901 @t157) % 0.37/0.65 (step @p750 :rule evaluate :args ((<= 0 -11))) % 0.37/0.65 (step @p528 :rule evaluate :args (@t129)) % 0.37/0.65 (step @p529 :rule evaluate :args (@t130)) % 0.37/0.65 (step @p530 :rule nary_cong :premises (@p143 @p529) :args (@t131)) % 0.37/0.65 (step @p531 :rule trans :premises (@p530 @p528)) % 0.37/0.65 (step @p532 :rule arith_poly_norm :args (@t133)) % 0.37/0.65 (step @p751 :rule cong :premises (@p532 @p531) :args ((<= @t132 @t131))) % 0.37/0.65 (step @p752 :rule trans :premises (@p751 @p750)) % 0.37/0.65 (step @p539 :rule arith_mult_neg :args (-1 @t115)) % 0.37/0.65 (step @p57 :rule evaluate :args (@t22)) % 0.37/0.65 (step @p58 :rule true_elim :premises (@p57)) % 0.37/0.65 (step @p753 :rule and_intro :premises (@p58 @p900)) % 0.37/0.65 (step @p754 :rule modus_ponens :premises (@p753 @p539)) % 0.37/0.65 (step @p755 :rule arith_sum_ub :premises (@p899 @p754)) % 0.37/0.65 (step @p756 false :rule eq_resolve :premises (@p755 @p752)) % 0.37/0.65 (step-pop @p902 :rule scope :premises (@p756)) % 0.37/0.65 (step @p757 :rule process_scope :premises (@p902) :args (false)) % 0.37/0.65 (step @p759 false :rule contra :premises (@p899 @p757)) % 0.37/0.65 (step-pop @p903 :rule scope :premises (@p759)) % 0.37/0.65 (step-pop @p904 :rule scope :premises (@p903)) % 0.37/0.65 (step @p760 :rule process_scope :premises (@p904) :args (false)) % 0.37/0.65 (assume-push @p905 @t115) % 0.37/0.65 (assume-push @p906 @t157) % 0.37/0.65 (step @p765 :rule and_intro :premises (@p906 @p905)) % 0.37/0.65 (step-pop @p907 :rule scope :premises (@p765)) % 0.37/0.65 (step-pop @p908 :rule scope :premises (@p907)) % 0.37/0.65 (step @p766 :rule process_scope :premises (@p908) :args (@t158)) % 0.37/0.65 (step @p769 :rule implies_elim :premises (@p766)) % 0.37/0.65 (step @p770 :rule resolution :premises (@p769 @p760) :args (true @t158)) % 0.37/0.65 (step @p771 :rule not_and :premises (@p770)) % 0.37/0.65 (step @p772 false :rule chain_m_resolution :premises (@p771 @p746 @p519) :args (false (@list false false) (@list @t157 @t115))) % 0.37/0.65 ) % 0.37/0.65 % SZS output end Proof % 0.37/0.65 % cvc5 exiting %------------------------------------------------------------------------------