%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI744_1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:08:14 AM UTC 2026 % Result : Theorem 60.76s 60.94s % Output : Proof 60.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : ARI744_1 : TPTP v9.2.1. Released v7.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n021.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:34:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_ARI % 60.76/60.94 --- Run --finite-model-find --decision=internal at 45... % 60.76/60.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 60.76/60.94 --- Run --no-e-matching --full-saturate-quant at 45... % 60.76/60.94 % SZS status Theorem % 60.76/60.94 % SZS output start Proof % 60.76/60.94 ( % 60.76/60.94 (declare-const tptp.sqrt (-> Real Real)) % 60.76/60.94 (declare-const tptp.sqr (-> Real Real)) % 60.76/60.94 (define @t1 () (@var "X" Real)) % 60.76/60.94 (define @t2 () (* @t1 @t1)) % 60.76/60.94 (define @t3 () (tptp.sqr @t1)) % 60.76/60.94 (define @t4 () (= @t3 @t2)) % 60.76/60.94 (define @t5 () (@list @t1)) % 60.76/60.94 (define @t6 () (forall @t5 @t4)) % 60.76/60.94 (define @t7 () (tptp.sqrt @t1)) % 60.76/60.94 (define @t8 () (<= 0/1 @t1)) % 60.76/60.94 (define @t9 () (=> @t8 (<= 0/1 @t7))) % 60.76/60.94 (define @t10 () (forall @t5 @t9)) % 60.76/60.94 (define @t11 () (tptp.sqr @t7)) % 60.76/60.94 (define @t12 () (= @t11 @t1)) % 60.76/60.94 (define @t13 () (=> @t8 @t12)) % 60.76/60.94 (define @t14 () (forall @t5 @t13)) % 60.76/60.94 (define @t15 () (@var "Y" Real)) % 60.76/60.94 (define @t16 () (tptp.sqrt @t15)) % 60.76/60.94 (define @t17 () (@list @t1 @t15)) % 60.76/60.94 (define @t18 () (tptp.sqrt 4/1)) % 60.76/60.94 (define @t19 () (= @t18 2/1)) % 60.76/60.94 (define @t20 () (not @t19)) % 60.76/60.94 (define @t21 () (>= @t1 0/1)) % 60.76/60.94 (define @t22 () (= @t1 @t11)) % 60.76/60.94 (define @t23 () (tptp.sqr @t18)) % 60.76/60.94 (define @t24 () (= @t23 4/1)) % 60.76/60.94 (define @t25 () (= 4/1 @t23)) % 60.76/60.94 (define @t26 () (>= 4/1 0/1)) % 60.76/60.94 (define @t27 () (not @t26)) % 60.76/60.94 (define @t28 () (or @t27 @t25)) % 60.76/60.94 (define @t29 () (not @t21)) % 60.76/60.94 (define @t30 () (forall @t5 (or @t29 @t22))) % 60.76/60.94 (define @t31 () (@list 4/1)) % 60.76/60.94 (define @t32 () (@list false)) % 60.76/60.94 (define @t33 () (@list @t30)) % 60.76/60.94 (define @t34 () (* @t1 @t1)) % 60.76/60.94 (define @t35 () (* @t18 @t18)) % 60.76/60.94 (define @t36 () (= @t23 @t35)) % 60.76/60.94 (define @t37 () (= @t35 4/1)) % 60.76/60.94 (define @t38 () (and @t24 @t36)) % 60.76/60.94 (define @t39 () (* 1/2 @t35)) % 60.76/60.94 (define @t40 () (* -1/1 @t18)) % 60.76/60.94 (define @t41 () (+ @t40 @t39)) % 60.76/60.94 (define @t42 () (>= @t41 0/1)) % 60.76/60.94 (define @t43 () (not @t42)) % 60.76/60.94 (define @t44 () (>= @t18 2/1)) % 60.76/60.94 (define @t45 () (not @t44)) % 60.76/60.94 (define @t46 () (= 4/1 @t35)) % 60.76/60.94 (define @t47 () (not @t46)) % 60.76/60.94 (define @t48 () (not @t20)) % 60.76/60.94 (define @t49 () (>= 0/1 0/1)) % 60.76/60.94 (define @t50 () (* -1/1 2/1)) % 60.76/60.94 (define @t51 () (* 1/2 4/1)) % 60.76/60.94 (define @t52 () (+ 0/1 @t51 @t50)) % 60.76/60.94 (define @t53 () (* -1/2 @t35)) % 60.76/60.94 (define @t54 () (+ @t53 @t39 @t40 @t18)) % 60.76/60.94 (define @t55 () (+ @t18 @t53)) % 60.76/60.94 (define @t56 () (+ @t55 @t39 @t40)) % 60.76/60.94 (define @t57 () (>= @t56 @t52)) % 60.76/60.94 (define @t58 () (> @t18 2/1)) % 60.76/60.94 (define @t59 () (< -1/1 0/1)) % 60.76/60.94 (define @t60 () (- @t41 0/1)) % 60.76/60.94 (define @t61 () (= (* -1/1 (- 0/1 @t55)) (* -1/1 @t60))) % 60.76/60.94 (define @t62 () (>= 0/1 @t55)) % 60.76/60.94 (define @t63 () (= @t62 @t42)) % 60.76/60.94 (define @t64 () (>= @t40 -2/1)) % 60.76/60.94 (define @t65 () (not @t64)) % 60.76/60.94 (define @t66 () (>= 2/1 @t18)) % 60.76/60.94 (define @t67 () (not @t66)) % 60.76/60.94 (define @t68 () (= (* 2/1 (- 2/1 @t18)) (* 2/1 (- @t40 -2/1)))) % 60.76/60.94 (define @t69 () (= @t66 @t64)) % 60.76/60.94 (define @t70 () (>= @t7 0/1)) % 60.76/60.94 (define @t71 () (>= @t18 0/1)) % 60.76/60.94 (define @t72 () (or @t27 @t71)) % 60.76/60.94 (define @t73 () (forall @t5 (or @t29 @t70))) % 60.76/60.94 (define @t74 () (* 0/1 0/1)) % 60.76/60.94 (define @t75 () (tptp.sqr 0/1)) % 60.76/60.94 (define @t76 () (= @t75 @t74)) % 60.76/60.94 (define @t77 () (forall @t5 (= @t3 @t34))) % 60.76/60.94 (define @t78 () (= @t75 0/1)) % 60.76/60.94 (define @t79 () (= 0/1 @t75)) % 60.76/60.94 (define @t80 () (= 0/1 @t18)) % 60.76/60.94 (define @t81 () (= @t18 0/1)) % 60.76/60.94 (define @t82 () (and @t79 @t80 @t25)) % 60.76/60.94 (define @t83 () (not @t81)) % 60.76/60.94 (define @t84 () (not @t24)) % 60.76/60.94 (define @t85 () (>= @t40 0/1)) % 60.76/60.94 (define @t86 () (not @t85)) % 60.76/60.94 (define @t87 () (not @t71)) % 60.76/60.94 (define @t88 () (>= 0/1 @t18)) % 60.76/60.94 (define @t89 () (not @t88)) % 60.76/60.94 (define @t90 () (= (* -1/1 (- 0/1 @t18)) (* -1/1 (- @t40 0/1)))) % 60.76/60.94 (define @t91 () (= @t88 @t85)) % 60.76/60.94 (define @t92 () (and @t86 @t65)) % 60.76/60.94 (define @t93 () (not @t86)) % 60.76/60.94 (define @t94 () (* 2/1 @t18)) % 60.76/60.94 (define @t95 () (>= @t55 0/1)) % 60.76/60.94 (define @t96 () (* @t18 2/1)) % 60.76/60.94 (define @t97 () (* @t18 @t18)) % 60.76/60.94 (define @t98 () (<= @t97 @t96)) % 60.76/60.94 (define @t99 () (> @t18 0/1)) % 60.76/60.94 (define @t100 () (and @t99 @t58)) % 60.76/60.94 (define @t101 () (not @t95)) % 60.76/60.94 (define @t102 () (< @t55 0/1)) % 60.76/60.94 (define @t103 () (* -1/1 0/1)) % 60.76/60.94 (define @t104 () (+ 0/1 @t103)) % 60.76/60.94 (define @t105 () (* 0/1 @t18)) % 60.76/60.94 (define @t106 () (* 0/1 @t35)) % 60.76/60.94 (define @t107 () (+ @t106 @t105)) % 60.76/60.94 (define @t108 () (* -1/1 @t55)) % 60.76/60.94 (define @t109 () (+ @t55 @t108)) % 60.76/60.94 (define @t110 () (>= @t109 @t104)) % 60.76/60.94 (define @t111 () (and @t101 @t43)) % 60.76/60.94 (define @t112 () (and @t86 @t45)) % 60.76/60.94 (define @t113 () (not @t45)) % 60.76/60.94 (define @t114 () (>= @t97 @t96)) % 60.76/60.94 (define @t115 () (< @t18 2/1)) % 60.76/60.94 (define @t116 () (and @t99 @t115)) % 60.76/60.94 (define @t117 () (not @t36)) % 60.76/60.94 (define @t118 () (* -1/2 4/1)) % 60.76/60.94 (define @t119 () (+ @t103 @t118 2/1)) % 60.76/60.94 (define @t120 () (+ @t108 @t53 @t18)) % 60.76/60.94 (define @t121 () (>= @t120 @t119)) % 60.76/60.94 (define @t122 () (and @t45 @t46 @t95)) % 60.76/60.94 (assume @p1 @t6) % 60.76/60.94 (assume @p2 @t10) % 60.76/60.94 (assume @p3 @t14) % 60.76/60.94 (assume @p4 (forall @t5 (=> @t8 (= (tptp.sqrt @t2) @t1)))) % 60.76/60.94 (assume @p5 (forall @t17 (=> (and @t8 (<= 0/1 @t15)) (= (tptp.sqrt (* @t1 @t15)) (* @t7 @t16))))) % 60.76/60.94 (assume @p6 (forall @t17 (=> (and @t8 (<= @t1 @t15)) (<= @t7 @t16)))) % 60.76/60.94 (assume @p7 (= (tptp.sqrt 0/1) 0/1)) % 60.76/60.94 (assume @p8 (= (tptp.sqrt 1/1) 1/1)) % 60.76/60.94 (assume @p9 @t20) % 60.76/60.94 (assume @p10 true) % 60.76/60.94 (step @p11 :rule bool-impl-elim :args (@t21 @t22)) % 60.76/60.94 (step @p12 :rule cong :premises (@p11) :args ((forall @t5 (=> @t21 @t22)))) % 60.76/60.94 (step @p13 :rule arith_poly_norm :args ((= (* 1/1 (- @t11 @t1)) (* -1/1 (- @t1 @t11))))) % 60.76/60.94 (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= @t12 @t22))) % 60.76/60.94 (step @p15 :rule arith-elim-leq :args (0/1 @t1)) % 60.76/60.94 (step @p16 :rule cong :premises (@p15 @p14) :args (@t13)) % 60.76/60.94 (step @p17 :rule cong :premises (@p16) :args (@t14)) % 60.76/60.94 (step @p18 :rule trans :premises (@p17 @p12)) % 60.76/60.94 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 60.76/60.94 (step @p20 :rule aci_norm :args ((= (or false @t24) @t24))) % 60.76/60.94 (step @p21 :rule arith_poly_norm :args ((= (* -4/1 (- 4/1 @t23)) (* 4/1 (- @t23 4/1))))) % 60.76/60.94 (step @p22 :rule arith_poly_norm_rel :premises (@p21) :args ((= @t25 @t24))) % 60.76/60.94 (step @p23 :rule evaluate :args ((not true))) % 60.76/60.94 (step @p24 :rule evaluate :args (@t26)) % 60.76/60.94 (step @p25 :rule cong :premises (@p24) :args (@t27)) % 60.76/60.94 (step @p26 :rule trans :premises (@p25 @p23)) % 60.76/60.94 (step @p27 :rule nary_cong :premises (@p26 @p22) :args (@t28)) % 60.76/60.94 (step @p28 :rule trans :premises (@p27 @p20)) % 60.76/60.94 (step @p29 :rule refl :args (@t30)) % 60.76/60.94 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t30 @t28))) % 60.76/60.94 (assume-push @p407 @t30) % 60.76/60.94 (step @p32 :rule instantiate :premises (@p19) :args (@t31)) % 60.76/60.94 (step-pop @p408 :rule scope :premises (@p32)) % 60.76/60.94 (step @p33 :rule process_scope :premises (@p408) :args (@t28)) % 60.76/60.94 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 60.76/60.94 (step @p36 :rule implies_elim :premises (@p35)) % 60.76/60.94 (step @p37 :rule chain_m_resolution :premises (@p36 @p19) :args (@t24 @t32 @t33)) % 60.76/60.94 (step @p38 :rule arith_poly_norm :args ((= @t2 @t34))) % 60.76/60.94 (step @p39 :rule refl :args (@t3)) % 60.76/60.94 (step @p40 :rule cong :premises (@p39 @p38) :args (@t4)) % 60.76/60.94 (step @p41 :rule cong :premises (@p40) :args (@t6)) % 60.76/60.94 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 60.76/60.94 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t18))) % 60.76/60.94 (assume-push @p409 @t24) % 60.76/60.94 (assume-push @p410 @t36) % 60.76/60.94 (step @p46 :rule symm :premises (@p43)) % 60.76/60.94 (step @p47 :rule trans :premises (@p46 @p37)) % 60.76/60.94 (step-pop @p411 :rule scope :premises (@p47)) % 60.76/60.94 (step-pop @p412 :rule scope :premises (@p411)) % 60.76/60.94 (step @p48 :rule process_scope :premises (@p412) :args (@t37)) % 60.76/60.94 (step @p51 :rule implies_elim :premises (@p48)) % 60.76/60.94 (step @p52 :rule cnf_and_neg :args (@t38)) % 60.76/60.94 (step @p53 :rule resolution :premises (@p52 @p51) :args (true @t38)) % 60.76/60.94 (step @p54 :rule refl :args (@t43)) % 60.76/60.94 (step @p55 :rule refl :args (@t45)) % 60.76/60.94 (step @p56 :rule refl :args (@t19)) % 60.76/60.94 (step @p57 :rule arith_poly_norm :args ((= (* -4/1 (- 4/1 @t35)) (* 4/1 (- @t35 4/1))))) % 60.76/60.94 (step @p58 :rule arith_poly_norm_rel :premises (@p57) :args ((= @t46 @t37))) % 60.76/60.94 (step @p59 :rule cong :premises (@p58) :args (@t47)) % 60.76/60.94 (step @p60 :rule nary_cong :premises (@p59 @p56 @p55 @p54) :args ((or @t47 @t19 @t45 @t43))) % 60.76/60.94 (step @p61 :rule symm :premises (@p60)) % 60.76/60.94 (step @p62 :rule bool-double-not-elim :args (@t19)) % 60.76/60.94 (step @p63 :rule nary_cong :premises (@p59 @p62 @p55 @p54) :args ((or @t47 @t48 @t45 @t43))) % 60.76/60.94 (step @p64 :rule trans :premises (@p63 @p61)) % 60.76/60.94 (assume-push @p413 @t46) % 60.76/60.94 (assume-push @p414 @t20) % 60.76/60.94 (assume-push @p415 @t44) % 60.76/60.94 (assume-push @p416 @t42) % 60.76/60.94 (step @p69 :rule evaluate :args (@t49)) % 60.76/60.94 (step @p70 :rule evaluate :args ((+ 0/1 2/1 -2/1))) % 60.76/60.94 (step @p71 :rule evaluate :args (@t50)) % 60.76/60.94 (step @p72 :rule evaluate :args (@t51)) % 60.76/60.94 (step @p73 :rule refl :args (0/1)) % 60.76/60.94 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args (@t52)) % 60.76/60.94 (step @p75 :rule trans :premises (@p74 @p70)) % 60.76/60.94 (step @p76 :rule arith_poly_norm :args ((= @t54 0/1))) % 60.76/60.94 (step @p77 :rule arith_poly_norm :args ((= @t56 @t54))) % 60.76/60.94 (step @p78 :rule trans :premises (@p77 @p76)) % 60.76/60.94 (step @p79 :rule cong :premises (@p78 @p75) :args (@t57)) % 60.76/60.94 (step @p80 :rule trans :premises (@p79 @p69)) % 60.76/60.94 (step @p81 :rule cong :premises (@p80) :args ((not @t57))) % 60.76/60.94 (step @p82 :rule trans :premises (@p81 @p23)) % 60.76/60.94 (step @p83 :rule arith-elim-lt :args (@t56 @t52)) % 60.76/60.94 (step @p84 :rule trans :premises (@p83 @p82)) % 60.76/60.94 (step @p85 :rule arith_mult_neg :args (-1/1 @t58)) % 60.76/60.94 (step @p86 :rule arith_trichotomy :premises (@p9 @p415)) % 60.76/60.94 (step @p87 :rule evaluate :args (@t59)) % 60.76/60.94 (step @p88 :rule true_elim :premises (@p87)) % 60.76/60.94 (step @p89 :rule and_intro :premises (@p88 @p86)) % 60.76/60.94 (step @p90 :rule modus_ponens :premises (@p89 @p85)) % 60.76/60.94 (step @p91 :rule arith_mult_pos :args (1/2 @t37)) % 60.76/60.94 (step @p46 :rule symm :premises (@p43)) % 60.76/60.94 (step @p47 :rule trans :premises (@p46 @p37)) % 60.76/60.94 (step @p92 :rule evaluate :args ((> 1/2 0/1))) % 60.76/60.94 (step @p93 :rule true_elim :premises (@p92)) % 60.76/60.94 (step @p94 :rule and_intro :premises (@p93 @p47)) % 60.76/60.94 (step @p95 :rule modus_ponens :premises (@p94 @p91)) % 60.76/60.94 (step @p96 :rule arith_poly_norm :args (@t61)) % 60.76/60.94 (step @p97 :rule arith_poly_norm_rel :premises (@p96) :args (@t63)) % 60.76/60.94 (step @p98 :rule arith-elim-leq :args (@t55 0/1)) % 60.76/60.94 (step @p99 :rule trans :premises (@p98 @p97)) % 60.76/60.94 (step @p100 :rule symm :premises (@p99)) % 60.76/60.94 (step @p101 :rule eq_resolve :premises (@p416 @p100)) % 60.76/60.94 (step @p102 :rule arith_sum_ub :premises (@p101 @p95 @p90)) % 60.76/60.94 (step @p103 false :rule eq_resolve :premises (@p102 @p84)) % 60.76/60.94 (step-pop @p417 :rule scope :premises (@p103)) % 60.76/60.94 (step-pop @p418 :rule scope :premises (@p417)) % 60.76/60.94 (step-pop @p419 :rule scope :premises (@p418)) % 60.76/60.94 (step-pop @p420 :rule scope :premises (@p419)) % 60.76/60.94 (step @p104 :rule process_scope :premises (@p420) :args (false)) % 60.76/60.94 (step @p109 :rule not_and :premises (@p104)) % 60.76/60.94 (step @p110 :rule eq_resolve :premises (@p109 @p64)) % 60.76/60.94 (step @p111 :rule eq_resolve :premises (@p110 @p60)) % 60.76/60.94 (step @p112 :rule reordering :premises (@p111) :args ((or @t19 (not @t37) @t43 @t45))) % 60.76/60.94 (step @p113 :rule refl :args (@t65)) % 60.76/60.94 (step @p114 :rule nary_cong :premises (@p62 @p55 @p113) :args ((or @t48 @t45 @t65))) % 60.76/60.94 (assume-push @p421 @t20) % 60.76/60.94 (assume-push @p422 @t44) % 60.76/60.94 (assume-push @p423 @t64) % 60.76/60.94 (step @p118 :rule arith-elim-leq :args (@t18 2/1)) % 60.76/60.94 (step @p119 :rule symm :premises (@p118)) % 60.76/60.94 (step @p120 :rule cong :premises (@p119) :args (@t67)) % 60.76/60.94 (step @p121 :rule arith-elim-gt :args (@t18 2/1)) % 60.76/60.94 (step @p122 :rule trans :premises (@p121 @p120)) % 60.76/60.94 (step @p123 :rule arith_trichotomy :premises (@p9 @p422)) % 60.76/60.94 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 60.76/60.94 (step @p125 :rule arith_poly_norm :args (@t68)) % 60.76/60.94 (step @p126 :rule arith_poly_norm_rel :premises (@p125) :args (@t69)) % 60.76/60.94 (step @p127 :rule trans :premises (@p118 @p126)) % 60.76/60.94 (step @p128 :rule symm :premises (@p127)) % 60.76/60.94 (step @p129 :rule eq_resolve :premises (@p423 @p128)) % 60.76/60.94 (step @p130 false :rule contra :premises (@p129 @p124)) % 60.76/60.94 (step-pop @p424 :rule scope :premises (@p130)) % 60.76/60.94 (step-pop @p425 :rule scope :premises (@p424)) % 60.76/60.94 (step-pop @p426 :rule scope :premises (@p425)) % 60.76/60.94 (step @p131 :rule process_scope :premises (@p426) :args (false)) % 60.76/60.94 (step @p135 :rule not_and :premises (@p131)) % 60.76/60.94 (step @p136 :rule eq_resolve :premises (@p135 @p114)) % 60.76/60.94 (step @p137 :rule bool-impl-elim :args (@t21 @t70)) % 60.76/60.94 (step @p138 :rule cong :premises (@p137) :args ((forall @t5 (=> @t21 @t70)))) % 60.76/60.94 (step @p139 :rule arith-elim-leq :args (0/1 @t7)) % 60.76/60.94 (step @p140 :rule cong :premises (@p15 @p139) :args (@t9)) % 60.76/60.94 (step @p141 :rule cong :premises (@p140) :args (@t10)) % 60.76/60.94 (step @p142 :rule trans 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60.76/60.94 (assume-push @p461 @t45) % 60.76/60.94 (assume-push @p462 @t46) % 60.76/60.94 (assume-push @p463 @t95) % 60.76/60.94 (step @p268 :rule arith-elim-lt :args (@t55 0/1)) % 60.76/60.94 (step @p269 :rule symm :premises (@p268)) % 60.76/60.94 (assume-push @p464 @t95) % 60.76/60.94 (step @p69 :rule evaluate :args (@t49)) % 60.76/60.94 (step @p353 :rule evaluate :args ((+ 0/1 -2/1 2/1))) % 60.76/60.94 (step @p354 :rule refl :args (2/1)) % 60.76/60.94 (step @p355 :rule evaluate :args (@t118)) % 60.76/60.94 (step @p276 :rule evaluate :args (@t103)) % 60.76/60.94 (step @p356 :rule nary_cong :premises (@p276 @p355 @p354) :args (@t119)) % 60.76/60.94 (step @p357 :rule trans :premises (@p356 @p353)) % 60.76/60.94 (step @p358 :rule arith_poly_norm :args ((= (+ @t41 @t53 @t18) 0/1))) % 60.76/60.94 (step @p359 :rule refl :args (@t18)) % 60.76/60.94 (step @p360 :rule refl :args (@t53)) % 60.76/60.94 (step @p361 :rule arith_poly_norm :args ((= @t108 @t41))) % 60.76/60.94 (step @p362 :rule nary_cong :premises (@p361 @p360 @p359) :args (@t120)) % 60.76/60.94 (step @p363 :rule trans :premises (@p362 @p358)) % 60.76/60.94 (step @p364 :rule cong :premises (@p363 @p357) :args (@t121)) % 60.76/60.94 (step @p365 :rule trans :premises (@p364 @p69)) % 60.76/60.94 (step @p366 :rule cong :premises (@p365) :args ((not @t121))) % 60.76/60.94 (step @p367 :rule trans :premises (@p366 @p23)) % 60.76/60.94 (step @p368 :rule arith-elim-lt :args (@t120 @t119)) % 60.76/60.94 (step @p369 :rule trans :premises (@p368 @p367)) % 60.76/60.94 (step @p370 :rule symm :premises (@p336)) % 60.76/60.94 (step @p371 :rule eq_resolve :premises (@p461 @p370)) % 60.76/60.94 (step @p372 :rule arith_mult_neg :args (-1/2 @t37)) % 60.76/60.94 (step @p46 :rule symm :premises (@p43)) % 60.76/60.94 (step @p47 :rule trans :premises (@p46 @p37)) % 60.76/60.94 (step @p373 :rule evaluate :args ((< -1/2 0/1))) % 60.76/60.94 (step @p374 :rule true_elim :premises (@p373)) % 60.76/60.94 (step @p375 :rule and_intro :premises (@p374 @p47)) % 60.76/60.94 (step @p376 :rule modus_ponens :premises (@p375 @p372)) % 60.76/60.94 (step @p377 :rule arith_mult_neg :args (-1/1 @t95)) % 60.76/60.94 (step @p87 :rule evaluate :args (@t59)) % 60.76/60.94 (step @p88 :rule true_elim :premises (@p87)) % 60.76/60.94 (step @p378 :rule and_intro :premises (@p88 @p463)) % 60.76/60.94 (step @p379 :rule modus_ponens :premises (@p378 @p377)) % 60.76/60.94 (step @p380 :rule arith_sum_ub :premises (@p379 @p376 @p371)) % 60.76/60.94 (step @p381 false :rule eq_resolve :premises (@p380 @p369)) % 60.76/60.94 (step-pop @p465 :rule scope :premises (@p381)) % 60.76/60.94 (step @p382 :rule process_scope :premises (@p465) :args (false)) % 60.76/60.94 (step @p384 :rule eq_resolve :premises (@p382 @p269)) % 60.76/60.94 (step @p385 :rule eq_resolve :premises (@p384 @p268)) % 60.76/60.94 (step @p386 false :rule contra :premises (@p463 @p385)) % 60.76/60.94 (step-pop @p466 :rule scope :premises (@p386)) % 60.76/60.94 (step-pop @p467 :rule scope :premises (@p466)) % 60.76/60.94 (step-pop @p468 :rule scope :premises (@p467)) % 60.76/60.94 (step @p387 :rule process_scope :premises (@p468) :args (false)) % 60.76/60.94 (assume-push @p469 @t24) % 60.76/60.94 (assume-push @p470 @t36) % 60.76/60.94 (assume-push @p471 @t45) % 60.76/60.94 (assume-push @p472 @t95) % 60.76/60.94 (step @p186 :rule symm :premises (@p37)) % 60.76/60.94 (step @p395 :rule trans :premises (@p186 @p43)) % 60.76/60.94 (step @p396 :rule and_intro :premises (@p471 @p395 @p472)) % 60.76/60.94 (step-pop @p473 :rule scope :premises (@p396)) % 60.76/60.94 (step-pop @p474 :rule scope :premises (@p473)) % 60.76/60.94 (step-pop @p475 :rule scope :premises (@p474)) % 60.76/60.94 (step-pop @p476 :rule scope :premises (@p475)) % 60.76/60.94 (step @p397 :rule process_scope :premises (@p476) :args (@t122)) % 60.76/60.94 (step @p402 :rule implies_elim :premises (@p397)) % 60.76/60.94 (step @p403 :rule resolution :premises (@p402 @p387) :args (true @t122)) % 60.76/60.94 (step @p404 :rule not_and :premises (@p403)) % 60.76/60.94 (step @p405 :rule eq_resolve :premises (@p404 @p348)) % 60.76/60.94 (step @p406 false :rule chain_m_resolution :premises (@p405 @p344 @p321 @p43 @p37) :args (false (@list false true false false) (@list @t95 @t44 @t36 @t24))) % 60.76/60.94 ) % 60.76/60.94 % SZS output end Proof % 60.76/60.94 % cvc5 exiting %------------------------------------------------------------------------------