%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI678_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 : n025.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 08:08:07 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI678_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:32:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.25/0.49 %----Proving TF0_ARI % 0.37/0.60 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-const tptp.a Int) % 0.37/0.60 (define @t1 () (* tptp.a tptp.a)) % 0.37/0.60 (define @t2 () (* @t1 tptp.a)) % 0.37/0.60 (define @t3 () (>= 7 @t2)) % 0.37/0.60 (define @t4 () (* @t2 tptp.a)) % 0.37/0.60 (define @t5 () (>= 1 @t4)) % 0.37/0.60 (define @t6 () (not @t5)) % 0.37/0.60 (define @t7 () (* tptp.a tptp.a tptp.a tptp.a)) % 0.37/0.60 (define @t8 () (>= @t7 2)) % 0.37/0.60 (define @t9 () (+ @t7 1)) % 0.37/0.60 (define @t10 () (* tptp.a tptp.a tptp.a)) % 0.37/0.60 (define @t11 () (* tptp.a tptp.a)) % 0.37/0.60 (define @t12 () (>= tptp.a 1)) % 0.37/0.60 (define @t13 () (= tptp.a 0)) % 0.37/0.60 (define @t14 () (>= tptp.a 0)) % 0.37/0.60 (define @t15 () (not @t14)) % 0.37/0.60 (define @t16 () (not @t13)) % 0.37/0.60 (define @t17 () (not @t16)) % 0.37/0.60 (define @t18 () (and @t14 @t16)) % 0.37/0.60 (define @t19 () (= @t7 -1)) % 0.37/0.60 (define @t20 () (* -1 2)) % 0.37/0.60 (define @t21 () (+ -1 @t20)) % 0.37/0.60 (define @t22 () (+ @t7 (* -1 @t7))) % 0.37/0.60 (define @t23 () (= @t22 0)) % 0.37/0.60 (define @t24 () (< -1 0)) % 0.37/0.60 (define @t25 () (and @t19 @t8)) % 0.37/0.60 (define @t26 () (@list false)) % 0.37/0.60 (define @t27 () (@list @t8)) % 0.37/0.60 (define @t28 () (= @t7 1)) % 0.37/0.60 (define @t29 () (+ 1 @t20)) % 0.37/0.60 (define @t30 () (and @t28 @t8)) % 0.37/0.60 (define @t31 () (or @t28 @t19)) % 0.37/0.60 (define @t32 () (not @t31)) % 0.37/0.60 (define @t33 () (- 1)) % 0.37/0.60 (define @t34 () (= @t7 @t33)) % 0.37/0.60 (define @t35 () (or @t28 @t34)) % 0.37/0.60 (define @t36 () (= tptp.a @t33)) % 0.37/0.60 (define @t37 () (= tptp.a 1)) % 0.37/0.60 (define @t38 () (or @t37 @t36)) % 0.37/0.60 (define @t39 () (abs 1)) % 0.37/0.60 (define @t40 () (abs @t7)) % 0.37/0.60 (define @t41 () (* 1 1 1 1)) % 0.37/0.60 (define @t42 () (abs @t41)) % 0.37/0.60 (define @t43 () (or @t37 (= tptp.a -1))) % 0.37/0.60 (define @t44 () (not @t43)) % 0.37/0.60 (define @t45 () (@list true)) % 0.37/0.60 (define @t46 () (not @t37)) % 0.37/0.60 (define @t47 () (>= tptp.a 2)) % 0.37/0.60 (define @t48 () (and @t14 @t16 @t46)) % 0.37/0.60 (define @t49 () (>= @t11 1)) % 0.37/0.60 (define @t50 () (+ 0 1)) % 0.37/0.60 (define @t51 () (>= @t11 @t50)) % 0.37/0.60 (define @t52 () (and @t49 @t47)) % 0.37/0.60 (define @t53 () (not @t47)) % 0.37/0.60 (define @t54 () (* 2 @t11)) % 0.37/0.60 (define @t55 () (* -1 @t10)) % 0.37/0.60 (define @t56 () (+ @t54 @t55)) % 0.37/0.60 (define @t57 () (+ @t56 1)) % 0.37/0.60 (define @t58 () (* -1 -2)) % 0.37/0.60 (define @t59 () (* @t1 @t58)) % 0.37/0.60 (define @t60 () (>= @t2 @t59)) % 0.37/0.60 (define @t61 () (<= @t1 0)) % 0.37/0.60 (define @t62 () (> @t1 0)) % 0.37/0.60 (define @t63 () (and @t62 @t47)) % 0.37/0.60 (define @t64 () (>= tptp.a @t58)) % 0.37/0.60 (define @t65 () (and @t62 @t64)) % 0.37/0.60 (define @t66 () (>= @t56 1)) % 0.37/0.60 (define @t67 () (not @t66)) % 0.37/0.60 (define @t68 () (and @t12 @t47)) % 0.37/0.60 (define @t69 () (* 2 tptp.a)) % 0.37/0.60 (define @t70 () (+ @t69 (* -1 @t11))) % 0.37/0.60 (define @t71 () (+ @t70 1)) % 0.37/0.60 (define @t72 () (* tptp.a @t58)) % 0.37/0.60 (define @t73 () (>= @t1 @t72)) % 0.37/0.60 (define @t74 () (>= tptp.a @t50)) % 0.37/0.60 (define @t75 () (> tptp.a 0)) % 0.37/0.60 (define @t76 () (and @t75 @t47)) % 0.37/0.60 (define @t77 () (and @t75 @t64)) % 0.37/0.60 (define @t78 () (>= @t70 1)) % 0.37/0.60 (define @t79 () (not @t78)) % 0.37/0.60 (define @t80 () (+ @t10 1)) % 0.37/0.60 (define @t81 () (>= 7 @t10)) % 0.37/0.60 (define @t82 () (>= @t10 8)) % 0.37/0.60 (define @t83 () (not @t82)) % 0.37/0.60 (define @t84 () (+ 7 1)) % 0.37/0.60 (define @t85 () (>= @t10 @t84)) % 0.37/0.60 (define @t86 () (<= @t10 7)) % 0.37/0.60 (define @t87 () (* 2 0)) % 0.37/0.60 (define @t88 () (* -4 2)) % 0.37/0.60 (define @t89 () (+ 7 @t88 1 @t87)) % 0.37/0.60 (define @t90 () (* -4 tptp.a)) % 0.37/0.60 (define @t91 () (+ @t90 (* 4 tptp.a) @t54 (* -2 @t11) @t55 @t10)) % 0.37/0.60 (define @t92 () (+ @t10 @t90 @t56 (* 2 @t70))) % 0.37/0.60 (define @t93 () (>= @t92 @t89)) % 0.37/0.60 (define @t94 () (and @t79 @t67 @t47 @t83)) % 0.37/0.60 (define @t95 () (* 0 0 0 0)) % 0.37/0.60 (define @t96 () (= @t7 0)) % 0.37/0.60 (define @t97 () (+ 0 @t20)) % 0.37/0.60 (define @t98 () (and @t96 @t8)) % 0.37/0.60 (assume @p1 @t3) % 0.37/0.60 (assume @p2 (<= 0 tptp.a)) % 0.37/0.60 (assume @p3 @t6) % 0.37/0.60 (assume @p4 true) % 0.37/0.60 (step @p5 :rule bool-double-not-elim :args (@t8)) % 0.37/0.60 (step @p6 :rule arith_poly_norm :args ((= (* 1 (- 2 @t9)) (* 1 (- 1 @t7))))) % 0.37/0.60 (step @p7 :rule arith_poly_norm_rel :premises (@p6) :args ((= (>= 2 @t9) (>= 1 @t7)))) % 0.37/0.60 (step @p8 :rule arith-geq-tighten :args (@t7 2)) % 0.37/0.60 (step @p9 :rule trans :premises (@p8 @p7)) % 0.37/0.60 (step @p10 :rule symm :premises (@p9)) % 0.37/0.60 (step @p11 :rule arith_poly_norm :args ((= (* @t10 tptp.a) @t7))) % 0.37/0.60 (step @p12 :rule refl :args (tptp.a)) % 0.37/0.60 (step @p13 :rule arith_poly_norm :args ((= (* @t11 tptp.a) @t10))) % 0.37/0.60 (step @p14 :rule arith_poly_norm :args ((= @t1 @t11))) % 0.37/0.60 (step @p15 :rule nary_cong :premises (@p14 @p12) :args (@t2)) % 0.37/0.60 (step @p16 :rule trans :premises (@p15 @p13)) % 0.37/0.60 (step @p17 :rule nary_cong :premises (@p16 @p12) :args (@t4)) % 0.37/0.60 (step @p18 :rule trans :premises (@p17 @p11)) % 0.37/0.60 (step @p19 :rule refl :args (1)) % 0.37/0.60 (step @p20 :rule cong :premises (@p19 @p18) :args (@t5)) % 0.37/0.60 (step @p21 :rule trans :premises (@p20 @p10)) % 0.37/0.60 (step @p22 :rule cong :premises (@p21) :args (@t6)) % 0.37/0.60 (step @p23 :rule trans :premises (@p22 @p5)) % 0.37/0.60 (step @p24 :rule eq_resolve :premises (@p3 @p23)) % 0.37/0.60 (step @p25 :rule arith-elim-leq :args (0 tptp.a)) % 0.37/0.60 (step @p26 :rule eq_resolve :premises (@p2 @p25)) % 0.37/0.60 (step @p27 :rule refl :args (@t12)) % 0.37/0.60 (step @p28 :rule bool-double-not-elim :args (@t13)) % 0.37/0.60 (step @p29 :rule refl :args (@t15)) % 0.37/0.60 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args ((or @t15 @t17 @t12))) % 0.37/0.60 (assume-push @p415 @t14) % 0.37/0.60 (assume-push @p416 @t16) % 0.37/0.60 (assume-push @p417 @t14) % 0.37/0.60 (assume-push @p418 @t16) % 0.37/0.60 (step @p35 :rule arith_trichotomy :premises (@p26 @p416)) % 0.37/0.60 (step @p36 :rule int_tight_lb :premises (@p35)) % 0.37/0.60 (step-pop @p419 :rule scope :premises (@p36)) % 0.37/0.60 (step-pop @p420 :rule scope :premises (@p419)) % 0.37/0.60 (step @p37 :rule process_scope :premises (@p420) :args (@t12)) % 0.37/0.60 (step @p40 :rule and_intro :premises (@p26 @p416)) % 0.37/0.60 (step @p41 :rule modus_ponens :premises (@p40 @p37)) % 0.37/0.60 (step-pop @p421 :rule scope :premises (@p41)) % 0.37/0.60 (step-pop @p422 :rule scope :premises (@p421)) % 0.37/0.60 (step @p42 :rule process_scope :premises (@p422) :args (@t12)) % 0.37/0.60 (step @p45 :rule implies_elim :premises (@p42)) % 0.37/0.60 (step @p46 :rule cnf_and_neg :args (@t18)) % 0.37/0.60 (step @p47 :rule resolution :premises (@p46 @p45) :args (true @t18)) % 0.37/0.60 (step @p48 :rule eq_resolve :premises (@p47 @p30)) % 0.37/0.60 (assume-push @p423 @t19) % 0.37/0.60 (assume-push @p424 @t8) % 0.37/0.60 (assume-push @p425 @t19) % 0.37/0.60 (step @p52 :rule evaluate :args ((<= 0 -3))) % 0.37/0.60 (step @p53 :rule evaluate :args ((+ -1 -2))) % 0.37/0.60 (step @p54 :rule evaluate :args (@t20)) % 0.37/0.60 (step @p55 :rule refl :args (-1)) % 0.37/0.60 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t21)) % 0.37/0.60 (step @p57 :rule trans :premises (@p56 @p53)) % 0.37/0.60 (step @p58 :rule arith_poly_norm :args (@t23)) % 0.37/0.60 (step @p59 :rule cong :premises (@p58 @p57) :args ((<= @t22 @t21))) % 0.37/0.60 (step @p60 :rule trans :premises (@p59 @p52)) % 0.37/0.60 (step @p61 :rule arith_mult_neg :args (-1 @t8)) % 0.37/0.60 (step @p62 :rule evaluate :args (@t24)) % 0.37/0.60 (step @p63 :rule true_elim :premises (@p62)) % 0.37/0.60 (step @p64 :rule and_intro :premises (@p63 @p24)) % 0.37/0.60 (step @p65 :rule modus_ponens :premises (@p64 @p61)) % 0.37/0.60 (step @p66 :rule arith_sum_ub :premises (@p423 @p65)) % 0.37/0.60 (step @p67 false :rule eq_resolve :premises (@p66 @p60)) % 0.37/0.60 (step-pop @p426 :rule scope :premises (@p67)) % 0.37/0.60 (step @p68 :rule process_scope :premises (@p426) :args (false)) % 0.37/0.60 (step @p70 false :rule contra :premises (@p423 @p68)) % 0.37/0.60 (step-pop @p427 :rule scope :premises (@p70)) % 0.37/0.60 (step-pop @p428 :rule scope :premises (@p427)) % 0.37/0.60 (step @p71 :rule process_scope :premises (@p428) :args (false)) % 0.37/0.60 (assume-push @p429 @t8) % 0.37/0.60 (assume-push @p430 @t19) % 0.37/0.60 (step @p76 :rule and_intro :premises (@p430 @p24)) % 0.37/0.60 (step-pop @p431 :rule scope :premises (@p76)) % 0.37/0.60 (step-pop @p432 :rule scope :premises (@p431)) % 0.37/0.60 (step @p77 :rule process_scope :premises (@p432) :args (@t25)) % 0.37/0.60 (step @p80 :rule implies_elim :premises (@p77)) % 0.37/0.60 (step @p81 :rule resolution :premises (@p80 @p71) :args (true @t25)) % 0.37/0.60 (step @p82 :rule not_and :premises (@p81)) % 0.37/0.60 (step @p83 :rule chain_m_resolution :premises (@p82 @p24) :args ((not @t19) @t26 @t27)) % 0.37/0.60 (assume-push @p433 @t28) % 0.37/0.60 (assume-push @p434 @t8) % 0.37/0.60 (assume-push @p435 @t28) % 0.37/0.60 (step @p87 :rule evaluate :args ((<= 0 -1))) % 0.37/0.60 (step @p88 :rule evaluate :args ((+ 1 -2))) % 0.37/0.60 (step @p54 :rule evaluate :args (@t20)) % 0.37/0.60 (step @p89 :rule nary_cong :premises (@p19 @p54) :args (@t29)) % 0.37/0.60 (step @p90 :rule trans :premises (@p89 @p88)) % 0.37/0.60 (step @p58 :rule arith_poly_norm :args (@t23)) % 0.37/0.60 (step @p91 :rule cong :premises (@p58 @p90) :args ((<= @t22 @t29))) % 0.37/0.60 (step @p92 :rule trans :premises (@p91 @p87)) % 0.37/0.60 (step @p61 :rule arith_mult_neg :args (-1 @t8)) % 0.37/0.60 (step @p62 :rule evaluate :args (@t24)) % 0.37/0.60 (step @p63 :rule true_elim :premises (@p62)) % 0.37/0.60 (step @p64 :rule and_intro :premises (@p63 @p24)) % 0.37/0.60 (step @p65 :rule modus_ponens :premises (@p64 @p61)) % 0.37/0.60 (step @p93 :rule arith_sum_ub :premises (@p433 @p65)) % 0.37/0.60 (step @p94 false :rule eq_resolve :premises (@p93 @p92)) % 0.37/0.60 (step-pop @p436 :rule scope :premises (@p94)) % 0.37/0.60 (step @p95 :rule process_scope :premises (@p436) :args (false)) % 0.37/0.60 (step @p97 false :rule contra :premises (@p433 @p95)) % 0.37/0.60 (step-pop @p437 :rule scope :premises (@p97)) % 0.37/0.60 (step-pop @p438 :rule scope :premises (@p437)) % 0.37/0.60 (step @p98 :rule process_scope :premises (@p438) :args (false)) % 0.37/0.60 (assume-push @p439 @t8) % 0.37/0.60 (assume-push @p440 @t28) % 0.37/0.60 (step @p103 :rule and_intro :premises (@p440 @p24)) % 0.37/0.60 (step-pop @p441 :rule scope :premises (@p103)) % 0.37/0.60 (step-pop @p442 :rule scope :premises (@p441)) % 0.37/0.60 (step @p104 :rule process_scope :premises (@p442) :args (@t30)) % 0.37/0.60 (step @p107 :rule implies_elim :premises (@p104)) % 0.37/0.60 (step @p108 :rule resolution :premises (@p107 @p98) :args (true @t30)) % 0.37/0.60 (step @p109 :rule not_and :premises (@p108)) % 0.37/0.60 (step @p110 :rule chain_m_resolution :premises (@p109 @p24) :args ((not @t28) @t26 @t27)) % 0.37/0.60 (step @p111 :rule cnf_or_pos :args (@t31)) % 0.37/0.60 (step @p112 :rule reordering :premises (@p111) :args ((or @t28 @t19 @t32))) % 0.37/0.60 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p83) :args (@t32 (@list true true) (@list @t28 @t19))) % 0.37/0.60 (step @p114 :rule evaluate :args (@t33)) % 0.37/0.60 (step @p115 :rule refl :args (@t7)) % 0.37/0.60 (step @p116 :rule cong :premises (@p115 @p114) :args (@t34)) % 0.37/0.60 (step @p117 :rule refl :args (@t28)) % 0.37/0.60 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t35)) % 0.37/0.60 (step @p119 :rule cong :premises (@p12 @p114) :args (@t36)) % 0.37/0.60 (step @p120 :rule refl :args (@t37)) % 0.37/0.60 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t38)) % 0.37/0.60 (step @p122 :rule cong :premises (@p121 @p118) :args ((=> @t38 @t35))) % 0.37/0.60 (assume-push @p443 @t38) % 0.37/0.60 (step @p124 :rule arith-abs-eq :args (@t7 1)) % 0.37/0.60 (step @p125 :rule evaluate :args (@t39)) % 0.37/0.60 (step @p126 :rule refl :args (@t40)) % 0.37/0.60 (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t40 @t39))) % 0.37/0.60 (step @p128 :rule symm :premises (@p127)) % 0.37/0.60 (step @p129 :rule evaluate :args (@t41)) % 0.37/0.60 (step @p130 :rule cong :premises (@p129) :args (@t42)) % 0.37/0.60 (step @p131 :rule trans :premises (@p130 @p125)) % 0.37/0.60 (step @p132 :rule cong :premises (@p126 @p131) :args ((= @t40 @t42))) % 0.37/0.60 (step @p133 :rule trans :premises (@p132 @p128)) % 0.37/0.60 (step @p134 :rule arith-abs-eq :args (tptp.a 1)) % 0.37/0.60 (step @p135 :rule symm :premises (@p134)) % 0.37/0.60 (step @p136 :rule eq_resolve :premises (@p443 @p135)) % 0.37/0.60 (step @p137 :rule arith_mult_abs_comparison :premises (@p136 @p136 @p136 @p136)) % 0.37/0.60 (step @p138 :rule eq_resolve :premises (@p137 @p133)) % 0.37/0.60 (step @p139 :rule eq_resolve :premises (@p138 @p124)) % 0.37/0.60 (step-pop @p444 :rule scope :premises (@p139)) % 0.37/0.60 (step @p140 :rule process_scope :premises (@p444) :args (@t35)) % 0.37/0.60 (step @p142 :rule eq_resolve :premises (@p140 @p122)) % 0.37/0.60 (step @p143 :rule implies_elim :premises (@p142)) % 0.37/0.60 (step @p144 :rule reordering :premises (@p143) :args ((or @t31 @t44))) % 0.37/0.60 (step @p145 :rule chain_m_resolution :premises (@p144 @p113) :args (@t44 @t45 (@list @t31))) % 0.37/0.60 (step @p146 :rule cnf_or_neg :args (@t43 0)) % 0.37/0.60 (step @p147 :rule chain_m_resolution :premises (@p146 @p145) :args (@t46 @t45 (@list @t43))) % 0.37/0.60 (step @p148 :rule refl :args (@t47)) % 0.37/0.60 (step @p149 :rule bool-double-not-elim :args (@t37)) % 0.37/0.60 (step @p150 :rule nary_cong :premises (@p29 @p28 @p149 @p148) :args ((or @t15 @t17 (not @t46) @t47))) % 0.37/0.60 (assume-push @p445 @t14) % 0.37/0.60 (assume-push @p446 @t16) % 0.37/0.60 (assume-push @p447 @t46) % 0.37/0.60 (assume-push @p448 @t46) % 0.37/0.60 (assume-push @p449 @t12) % 0.37/0.60 (step @p156 :rule arith_trichotomy :premises (@p447 @p449)) % 0.37/0.60 (step @p157 :rule int_tight_lb :premises (@p156)) % 0.37/0.60 (step-pop @p450 :rule scope :premises (@p157)) % 0.37/0.60 (step-pop @p451 :rule scope :premises (@p450)) % 0.37/0.60 (step @p158 :rule process_scope :premises (@p451) :args (@t47)) % 0.37/0.60 (assume-push @p452 @t14) % 0.37/0.60 (assume-push @p453 @t16) % 0.37/0.60 (step @p35 :rule arith_trichotomy :premises (@p26 @p446)) % 0.37/0.60 (step @p36 :rule int_tight_lb :premises (@p35)) % 0.37/0.60 (step-pop @p454 :rule scope :premises (@p36)) % 0.37/0.60 (step-pop @p455 :rule scope :premises (@p454)) % 0.37/0.60 (step @p163 :rule process_scope :premises (@p455) :args (@t12)) % 0.37/0.60 (step @p166 :rule and_intro :premises (@p26 @p446)) % 0.37/0.60 (step @p167 :rule modus_ponens :premises (@p166 @p163)) % 0.37/0.60 (step @p168 :rule and_intro :premises (@p447 @p167)) % 0.37/0.60 (step @p169 :rule modus_ponens :premises (@p168 @p158)) % 0.37/0.60 (step-pop @p456 :rule scope :premises (@p169)) % 0.37/0.60 (step-pop @p457 :rule scope :premises (@p456)) % 0.37/0.60 (step-pop @p458 :rule scope :premises (@p457)) % 0.37/0.60 (step @p170 :rule process_scope :premises (@p458) :args (@t47)) % 0.37/0.60 (step @p174 :rule implies_elim :premises (@p170)) % 0.37/0.60 (step @p175 :rule cnf_and_neg :args (@t48)) % 0.37/0.60 (step @p176 :rule resolution :premises (@p175 @p174) :args (true @t48)) % 0.37/0.60 (step @p177 :rule eq_resolve :premises (@p176 @p150)) % 0.37/0.60 (step @p178 :rule refl :args (@t49)) % 0.37/0.60 (step @p179 :rule nary_cong :premises (@p28 @p178) :args ((or @t17 @t49))) % 0.37/0.60 (step @p180 :rule bool-double-not-elim :args (@t49)) % 0.37/0.60 (step @p181 :rule evaluate :args (@t50)) % 0.37/0.60 (step @p182 :rule refl :args (@t11)) % 0.37/0.60 (step @p183 :rule cong :premises (@p182 @p181) :args (@t51)) % 0.37/0.60 (step @p184 :rule cong :premises (@p183) :args ((not @t51))) % 0.37/0.60 (step @p185 :rule arith-leq-norm :args (@t11 0)) % 0.37/0.60 (step @p186 :rule trans :premises (@p185 @p184)) % 0.37/0.60 (step @p187 :rule cong :premises (@p186) :args ((not (<= @t11 0)))) % 0.37/0.60 (step @p188 :rule trans :premises (@p187 @p180)) % 0.37/0.60 (step @p189 :rule arith-elim-leq :args (@t11 0)) % 0.37/0.60 (step @p190 :rule symm :premises (@p189)) % 0.37/0.60 (step @p191 :rule cong :premises (@p190) :args ((not (>= 0 @t11)))) % 0.37/0.60 (step @p192 :rule arith-elim-gt :args (@t11 0)) % 0.37/0.60 (step @p193 :rule trans :premises (@p192 @p191)) % 0.37/0.60 (step @p194 :rule trans :premises (@p193 @p188)) % 0.37/0.60 (step @p195 :rule refl :args (@t16)) % 0.37/0.60 (step @p196 :rule cong :premises (@p195 @p194) :args ((=> @t16 (> @t11 0)))) % 0.37/0.60 (step @p197 :rule arith_mult_sign :args (@t16 @t11)) % 0.37/0.60 (step @p198 :rule eq_resolve :premises (@p197 @p196)) % 0.37/0.60 (step @p199 :rule implies_elim :premises (@p198)) % 0.37/0.60 (step @p200 :rule eq_resolve :premises (@p199 @p179)) % 0.37/0.60 (step @p201 :rule cnf_and_neg :args (@t52)) % 0.37/0.60 (step @p202 :rule reordering :premises (@p201) :args ((or @t53 (not @t49) @t52))) % 0.37/0.60 (step @p203 :rule arith_poly_norm :args ((= (* -2 (- 1 @t57)) (* -2 (- @t10 @t54))))) % 0.37/0.60 (step @p204 :rule arith_poly_norm_rel :premises (@p203) :args ((= (>= 1 @t57) (>= @t10 @t54)))) % 0.37/0.60 (step @p205 :rule arith-geq-tighten :args (@t56 1)) % 0.37/0.60 (step @p206 :rule trans :premises (@p205 @p204)) % 0.37/0.60 (step @p207 :rule symm :premises (@p206)) % 0.37/0.60 (step @p208 :rule arith_poly_norm :args ((= (* @t11 2) @t54))) % 0.37/0.60 (step @p209 :rule evaluate :args (@t58)) % 0.37/0.60 (step @p210 :rule nary_cong :premises (@p14 @p209) :args (@t59)) % 0.37/0.60 (step @p211 :rule trans :premises (@p210 @p208)) % 0.37/0.60 (step @p212 :rule cong :premises (@p16 @p211) :args (@t60)) % 0.37/0.60 (step @p213 :rule trans :premises (@p212 @p207)) % 0.37/0.60 (step @p214 :rule refl :args (0)) % 0.37/0.60 (step @p215 :rule cong :premises (@p14 @p214) :args (@t61)) % 0.37/0.60 (step @p216 :rule trans :premises (@p215 @p186)) % 0.37/0.60 (step @p217 :rule cong :premises (@p216) :args ((not @t61))) % 0.37/0.60 (step @p218 :rule trans :premises (@p217 @p180)) % 0.37/0.60 (step @p219 :rule arith-elim-leq :args (@t1 0)) % 0.37/0.60 (step @p220 :rule symm :premises (@p219)) % 0.37/0.60 (step @p221 :rule cong :premises (@p220) :args ((not (>= 0 @t1)))) % 0.37/0.60 (step @p222 :rule arith-elim-gt :args (@t1 0)) % 0.37/0.60 (step @p223 :rule trans :premises (@p222 @p221)) % 0.37/0.60 (step @p224 :rule trans :premises (@p223 @p218)) % 0.37/0.60 (step @p225 :rule nary_cong :premises (@p224 @p148) :args (@t63)) % 0.37/0.60 (step @p226 :rule cong :premises (@p225 @p213) :args ((=> @t63 @t60))) % 0.37/0.60 (step @p227 :rule symm :premises (@p226)) % 0.37/0.60 (step @p228 :rule cong :premises (@p12 @p209) :args (@t64)) % 0.37/0.60 (step @p229 :rule nary_cong :premises (@p224 @p228) :args (@t65)) % 0.37/0.60 (step @p230 :rule cong :premises (@p229 @p213) :args ((=> @t65 @t60))) % 0.37/0.60 (step @p231 :rule trans :premises (@p230 @p227)) % 0.37/0.60 (step @p232 :rule arith_mult_pos :args (@t1 @t64)) % 0.37/0.60 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.37/0.60 (step @p234 :rule eq_resolve :premises (@p233 @p226)) % 0.37/0.60 (step @p235 :rule implies_elim :premises (@p234)) % 0.37/0.60 (step @p236 :rule reordering :premises (@p235) :args ((or @t67 (not @t52)))) % 0.37/0.60 (step @p237 :rule cnf_and_neg :args (@t68)) % 0.37/0.60 (step @p238 :rule reordering :premises (@p237) :args ((or (not @t12) @t53 @t68))) % 0.37/0.60 (step @p239 :rule arith_poly_norm :args ((= (* -2 (- 1 @t71)) (* -2 (- @t11 @t69))))) % 0.37/0.60 (step @p240 :rule arith_poly_norm_rel :premises (@p239) :args ((= (>= 1 @t71) (>= @t11 @t69)))) % 0.37/0.60 (step @p241 :rule arith-geq-tighten :args (@t70 1)) % 0.37/0.60 (step @p242 :rule trans :premises (@p241 @p240)) % 0.37/0.60 (step @p243 :rule symm :premises (@p242)) % 0.37/0.60 (step @p244 :rule arith_poly_norm :args ((= (* tptp.a 2) @t69))) % 0.37/0.60 (step @p245 :rule nary_cong :premises (@p12 @p209) :args (@t72)) % 0.37/0.60 (step @p246 :rule trans :premises (@p245 @p244)) % 0.37/0.60 (step @p247 :rule cong :premises (@p14 @p246) :args (@t73)) % 0.37/0.60 (step @p248 :rule trans :premises (@p247 @p243)) % 0.37/0.60 (step @p249 :rule bool-double-not-elim :args (@t12)) % 0.37/0.60 (step @p250 :rule refl :args (tptp.a)) % 0.37/0.60 (step @p251 :rule cong :premises (@p250 @p181) :args (@t74)) % 0.37/0.60 (step @p252 :rule cong :premises (@p251) :args ((not @t74))) % 0.37/0.60 (step @p253 :rule arith-leq-norm :args (tptp.a 0)) % 0.37/0.60 (step @p254 :rule trans :premises (@p253 @p252)) % 0.37/0.60 (step @p255 :rule cong :premises (@p254) :args ((not (<= tptp.a 0)))) % 0.37/0.60 (step @p256 :rule trans :premises (@p255 @p249)) % 0.37/0.60 (step @p257 :rule arith-elim-leq :args (tptp.a 0)) % 0.37/0.60 (step @p258 :rule symm :premises (@p257)) % 0.37/0.60 (step @p259 :rule cong :premises (@p258) :args ((not (>= 0 tptp.a)))) % 0.37/0.60 (step @p260 :rule arith-elim-gt :args (tptp.a 0)) % 0.37/0.60 (step @p261 :rule trans :premises (@p260 @p259)) % 0.37/0.60 (step @p262 :rule trans :premises (@p261 @p256)) % 0.37/0.60 (step @p263 :rule nary_cong :premises (@p262 @p148) :args (@t76)) % 0.37/0.60 (step @p264 :rule cong :premises (@p263 @p248) :args ((=> @t76 @t73))) % 0.37/0.60 (step @p265 :rule symm :premises (@p264)) % 0.37/0.60 (step @p266 :rule nary_cong :premises (@p262 @p228) :args (@t77)) % 0.37/0.60 (step @p267 :rule cong :premises (@p266 @p248) :args ((=> @t77 @t73))) % 0.37/0.60 (step @p268 :rule trans :premises (@p267 @p265)) % 0.37/0.60 (step @p269 :rule arith_mult_pos :args (tptp.a @t64)) % 0.37/0.60 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 0.37/0.60 (step @p271 :rule eq_resolve :premises (@p270 @p264)) % 0.37/0.60 (step @p272 :rule implies_elim :premises (@p271)) % 0.37/0.60 (step @p273 :rule reordering :premises (@p272) :args ((or @t79 (not @t68)))) % 0.37/0.60 (step @p274 :rule arith_poly_norm :args ((= (* 7 (- 8 @t80)) (* 7 (- 7 @t10))))) % 0.37/0.60 (step @p275 :rule arith_poly_norm_rel :premises (@p274) :args ((= (>= 8 @t80) @t81))) % 0.37/0.60 (step @p276 :rule arith-geq-tighten :args (@t10 8)) % 0.37/0.60 (step @p277 :rule trans :premises (@p276 @p275)) % 0.37/0.60 (step @p278 :rule symm :premises (@p277)) % 0.37/0.60 (step @p279 :rule refl :args (7)) % 0.37/0.60 (step @p280 :rule cong :premises (@p279 @p16) :args (@t3)) % 0.37/0.60 (step @p281 :rule trans :premises (@p280 @p278)) % 0.37/0.60 (step @p282 :rule eq_resolve :premises (@p1 @p281)) % 0.37/0.60 (step @p283 :rule bool-double-not-elim :args (@t78)) % 0.37/0.60 (step @p284 :rule bool-double-not-elim :args (@t66)) % 0.37/0.60 (step @p285 :rule refl :args (@t53)) % 0.37/0.60 (step @p286 :rule bool-double-not-elim :args (@t82)) % 0.37/0.60 (step @p287 :rule nary_cong :premises (@p286 @p285 @p284 @p283) :args ((or (not @t83) @t53 (not @t67) (not @t79)))) % 0.37/0.60 (assume-push @p459 @t79) % 0.37/0.60 (assume-push @p460 @t67) % 0.37/0.60 (assume-push @p461 @t47) % 0.37/0.60 (assume-push @p462 @t83) % 0.37/0.60 (step @p292 :rule arith-elim-leq :args (@t10 7)) % 0.37/0.60 (step @p293 :rule symm :premises (@p292)) % 0.37/0.60 (step @p294 :rule cong :premises (@p293) :args ((not @t81))) % 0.37/0.60 (step @p295 :rule arith-elim-gt :args (@t10 7)) % 0.37/0.60 (step @p296 :rule trans :premises (@p295 @p294)) % 0.37/0.60 (step @p297 :rule evaluate :args (@t84)) % 0.37/0.60 (step @p298 :rule refl :args (@t10)) % 0.37/0.60 (step @p299 :rule cong :premises (@p298 @p297) :args (@t85)) % 0.37/0.60 (step @p300 :rule cong :premises (@p299) :args ((not @t85))) % 0.37/0.60 (step @p301 :rule arith-leq-norm :args (@t10 7)) % 0.37/0.60 (step @p302 :rule trans :premises (@p301 @p300)) % 0.37/0.60 (step @p303 :rule cong :premises (@p302) :args ((not @t86))) % 0.37/0.60 (step @p304 :rule trans :premises (@p303 @p286)) % 0.37/0.60 (step @p305 :rule trans :premises (@p296 @p304)) % 0.37/0.60 (step @p306 :rule symm :premises (@p305)) % 0.37/0.60 (step @p307 :rule trans :premises (@p304 @p306)) % 0.37/0.60 (assume-push @p463 @t86) % 0.37/0.60 (step @p309 :rule evaluate :args ((not true))) % 0.37/0.60 (step @p310 :rule evaluate :args ((>= 0 0))) % 0.37/0.60 (step @p311 :rule evaluate :args ((+ 7 -8 1 0))) % 0.37/0.60 (step @p312 :rule evaluate :args (@t87)) % 0.37/0.60 (step @p313 :rule evaluate :args (@t88)) % 0.37/0.60 (step @p314 :rule nary_cong :premises (@p279 @p313 @p19 @p312) :args (@t89)) % 0.37/0.60 (step @p315 :rule trans :premises (@p314 @p311)) % 0.37/0.60 (step @p316 :rule arith_poly_norm :args ((= @t91 0))) % 0.37/0.60 (step @p317 :rule arith_poly_norm :args ((= @t92 @t91))) % 0.37/0.60 (step @p318 :rule trans :premises (@p317 @p316)) % 0.37/0.60 (step @p319 :rule cong :premises (@p318 @p315) :args (@t93)) % 0.37/0.60 (step @p320 :rule trans :premises (@p319 @p310)) % 0.37/0.60 (step @p321 :rule cong :premises (@p320) :args ((not @t93))) % 0.37/0.60 (step @p322 :rule trans :premises (@p321 @p309)) % 0.37/0.60 (step @p323 :rule arith-elim-lt :args (@t92 @t89)) % 0.37/0.60 (step @p324 :rule trans :premises (@p323 @p322)) % 0.37/0.60 (step @p325 :rule arith_mult_pos :args (2 (<= @t70 0))) % 0.37/0.60 (step @p326 :rule arith-elim-lt :args (@t70 1)) % 0.37/0.60 (step @p327 :rule symm :premises (@p326)) % 0.37/0.60 (step @p328 :rule eq_resolve :premises (@p459 @p327)) % 0.37/0.60 (step @p329 :rule int_tight_ub :premises (@p328)) % 0.37/0.60 (step @p330 :rule evaluate :args ((> 2 0))) % 0.37/0.60 (step @p331 :rule true_elim :premises (@p330)) % 0.37/0.60 (step @p332 :rule and_intro :premises (@p331 @p329)) % 0.37/0.60 (step @p333 :rule modus_ponens :premises (@p332 @p325)) % 0.37/0.60 (step @p334 :rule arith-elim-lt :args (@t56 1)) % 0.37/0.60 (step @p335 :rule symm :premises (@p334)) % 0.37/0.60 (step @p336 :rule eq_resolve :premises (@p460 @p335)) % 0.37/0.60 (step @p337 :rule arith_mult_neg :args (-4 @t47)) % 0.37/0.60 (step @p338 :rule evaluate :args ((< -4 0))) % 0.37/0.60 (step @p339 :rule true_elim :premises (@p338)) % 0.37/0.60 (step @p340 :rule and_intro :premises (@p339 @p461)) % 0.37/0.60 (step @p341 :rule modus_ponens :premises (@p340 @p337)) % 0.37/0.60 (step @p342 :rule arith-elim-lt :args (@t10 8)) % 0.37/0.60 (step @p343 :rule symm :premises (@p342)) % 0.37/0.60 (step @p344 :rule eq_resolve :premises (@p282 @p343)) % 0.37/0.60 (step @p345 :rule int_tight_ub :premises (@p344)) % 0.37/0.60 (step @p346 :rule arith_sum_ub :premises (@p345 @p341 @p336 @p333)) % 0.37/0.60 (step @p347 false :rule eq_resolve :premises (@p346 @p324)) % 0.37/0.60 (step-pop @p464 :rule scope :premises (@p347)) % 0.37/0.60 (step @p348 :rule process_scope :premises (@p464) :args (false)) % 0.37/0.60 (step @p350 :rule eq_resolve :premises (@p348 @p307)) % 0.37/0.60 (step @p351 :rule eq_resolve :premises (@p350 @p296)) % 0.37/0.60 (step @p342 :rule arith-elim-lt :args (@t10 8)) % 0.37/0.60 (step @p343 :rule symm :premises (@p342)) % 0.37/0.60 (step @p344 :rule eq_resolve :premises (@p282 @p343)) % 0.37/0.60 (step @p352 :rule int_tight_ub :premises (@p344)) % 0.37/0.60 (step @p353 false :rule contra :premises (@p352 @p351)) % 0.37/0.60 (step-pop @p465 :rule scope :premises (@p353)) % 0.37/0.60 (step-pop @p466 :rule scope :premises (@p465)) % 0.37/0.60 (step-pop @p467 :rule scope :premises (@p466)) % 0.37/0.60 (step-pop @p468 :rule scope :premises (@p467)) % 0.37/0.60 (step @p354 :rule process_scope :premises (@p468) :args (false)) % 0.37/0.60 (assume-push @p469 @t83) % 0.37/0.60 (assume-push @p470 @t47) % 0.37/0.60 (assume-push @p471 @t67) % 0.37/0.60 (assume-push @p472 @t79) % 0.37/0.60 (step @p363 :rule and_intro :premises (@p472 @p471 @p470 @p282)) % 0.37/0.60 (step-pop @p473 :rule scope :premises (@p363)) % 0.37/0.60 (step-pop @p474 :rule scope :premises (@p473)) % 0.37/0.60 (step-pop @p475 :rule scope :premises (@p474)) % 0.37/0.60 (step-pop @p476 :rule scope :premises (@p475)) % 0.37/0.60 (step @p364 :rule process_scope :premises (@p476) :args (@t94)) % 0.37/0.60 (step @p369 :rule implies_elim :premises (@p364)) % 0.37/0.60 (step @p370 :rule resolution :premises (@p369 @p354) :args (true @t94)) % 0.37/0.60 (step @p371 :rule not_and :premises (@p370)) % 0.37/0.60 (step @p372 :rule eq_resolve :premises (@p371 @p287)) % 0.37/0.60 (step @p373 :rule chain_m_resolution :premises (@p372 @p282 @p273 @p238 @p236 @p202 @p200 @p177 @p147 @p26 @p48 @p26) :args (@t13 (@list true true false true false false false true false false false) (@list @t82 @t78 @t68 @t66 @t52 @t49 @t47 @t37 @t14 @t12 @t14))) % 0.37/0.60 (assume-push @p477 @t13) % 0.37/0.60 (step @p375 :rule evaluate :args ((= 0 0))) % 0.37/0.60 (step @p376 :rule evaluate :args (@t95)) % 0.37/0.60 (step @p377 :rule cong :premises (@p376 @p214) :args ((= @t95 0))) % 0.37/0.60 (step @p378 :rule trans :premises (@p377 @p375)) % 0.37/0.60 (step @p379 :rule nary_cong :premises (@p477 @p477 @p477 @p477) :args (@t7)) % 0.37/0.60 (step @p380 :rule cong :premises (@p379 @p214) :args (@t96)) % 0.37/0.60 (step @p381 :rule trans :premises (@p380 @p378)) % 0.37/0.60 (step @p382 :rule true_elim :premises (@p381)) % 0.37/0.60 (step-pop @p478 :rule scope :premises (@p382)) % 0.37/0.60 (step @p383 :rule process_scope :premises (@p478) :args (@t96)) % 0.37/0.60 (step @p385 :rule implies_elim :premises (@p383)) % 0.37/0.60 (step @p386 :rule reordering :premises (@p385) :args ((or @t96 @t16))) % 0.37/0.60 (step @p387 :rule chain_m_resolution :premises (@p386 @p373) :args (@t96 @t26 (@list @t13))) % 0.37/0.60 (assume-push @p479 @t96) % 0.37/0.60 (assume-push @p480 @t8) % 0.37/0.60 (assume-push @p481 @t96) % 0.37/0.60 (step @p391 :rule evaluate :args ((<= 0 -2))) % 0.37/0.60 (step @p392 :rule evaluate :args ((+ 0 -2))) % 0.37/0.60 (step @p54 :rule evaluate :args (@t20)) % 0.37/0.60 (step @p393 :rule nary_cong :premises (@p214 @p54) :args (@t97)) % 0.37/0.60 (step @p394 :rule trans :premises (@p393 @p392)) % 0.37/0.60 (step @p58 :rule arith_poly_norm :args (@t23)) % 0.37/0.60 (step @p395 :rule cong :premises (@p58 @p394) :args ((<= @t22 @t97))) % 0.37/0.60 (step @p396 :rule trans :premises (@p395 @p391)) % 0.37/0.60 (step @p61 :rule arith_mult_neg :args (-1 @t8)) % 0.37/0.60 (step @p62 :rule evaluate :args (@t24)) % 0.37/0.60 (step @p63 :rule true_elim :premises (@p62)) % 0.37/0.60 (step @p64 :rule and_intro :premises (@p63 @p24)) % 0.37/0.60 (step @p65 :rule modus_ponens :premises (@p64 @p61)) % 0.37/0.60 (step @p397 :rule arith_sum_ub :premises (@p479 @p65)) % 0.37/0.60 (step @p398 false :rule eq_resolve :premises (@p397 @p396)) % 0.37/0.60 (step-pop @p482 :rule scope :premises (@p398)) % 0.37/0.60 (step @p399 :rule process_scope :premises (@p482) :args (false)) % 0.37/0.60 (step @p401 false :rule contra :premises (@p479 @p399)) % 0.37/0.60 (step-pop @p483 :rule scope :premises (@p401)) % 0.37/0.60 (step-pop @p484 :rule scope :premises (@p483)) % 0.37/0.60 (step @p402 :rule process_scope :premises (@p484) :args (false)) % 0.37/0.60 (assume-push @p485 @t8) % 0.37/0.60 (assume-push @p486 @t96) % 0.37/0.60 (step @p407 :rule and_intro :premises (@p486 @p24)) % 0.37/0.60 (step-pop @p487 :rule scope :premises (@p407)) % 0.37/0.60 (step-pop @p488 :rule scope :premises (@p487)) % 0.37/0.60 (step @p408 :rule process_scope :premises (@p488) :args (@t98)) % 0.37/0.60 (step @p411 :rule implies_elim :premises (@p408)) % 0.37/0.60 (step @p412 :rule resolution :premises (@p411 @p402) :args (true @t98)) % 0.37/0.60 (step @p413 :rule not_and :premises (@p412)) % 0.37/0.60 (step @p414 false :rule chain_m_resolution :premises (@p413 @p387 @p24) :args (false (@list false false) (@list @t96 @t8))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------