%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI640_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:08:02 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 : ARI640_1 : TPTP v9.2.1. Released v6.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.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 02:31:24 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----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.y Real) % 0.37/0.60 (declare-const tptp.x Real) % 0.37/0.60 (define @t1 () (> tptp.x 0/1)) % 0.37/0.60 (define @t2 () (> tptp.y 0/1)) % 0.37/0.60 (define @t3 () (+ tptp.x tptp.y)) % 0.37/0.60 (define @t4 () (* tptp.x tptp.y)) % 0.37/0.60 (define @t5 () (* tptp.x tptp.y)) % 0.37/0.60 (define @t6 () (* -1/1 @t5)) % 0.37/0.60 (define @t7 () (+ tptp.x tptp.y @t6)) % 0.37/0.60 (define @t8 () (>= @t7 0/1)) % 0.37/0.60 (define @t9 () (<= @t4 @t3)) % 0.37/0.60 (define @t10 () (* -1/1 tptp.y)) % 0.37/0.60 (define @t11 () (>= @t10 0/1)) % 0.37/0.60 (define @t12 () (>= 0/1 tptp.y)) % 0.37/0.60 (define @t13 () (>= tptp.y 0/1)) % 0.37/0.60 (define @t14 () (not @t13)) % 0.37/0.60 (define @t15 () (not @t11)) % 0.37/0.60 (define @t16 () (< tptp.y 0/1)) % 0.37/0.60 (define @t17 () (not true)) % 0.37/0.60 (define @t18 () (>= 0/1 0/1)) % 0.37/0.60 (define @t19 () (+ 0/1 0/1)) % 0.37/0.60 (define @t20 () (* -1/1 0/1)) % 0.37/0.60 (define @t21 () (+ 0/1 @t20)) % 0.37/0.60 (define @t22 () (+ tptp.y @t10)) % 0.37/0.60 (define @t23 () (>= @t22 @t21)) % 0.37/0.60 (define @t24 () (< -1/1 0/1)) % 0.37/0.60 (define @t25 () (and @t14 @t15)) % 0.37/0.60 (define @t26 () (@list true)) % 0.37/0.60 (define @t27 () (* -1/1 tptp.x)) % 0.37/0.60 (define @t28 () (>= @t27 0/1)) % 0.37/0.60 (define @t29 () (>= 0/1 tptp.x)) % 0.37/0.60 (define @t30 () (>= tptp.x 0/1)) % 0.37/0.60 (define @t31 () (not @t30)) % 0.37/0.60 (define @t32 () (not @t28)) % 0.37/0.60 (define @t33 () (not @t32)) % 0.37/0.60 (define @t34 () (< tptp.x 0/1)) % 0.37/0.60 (define @t35 () (+ tptp.x @t27)) % 0.37/0.60 (define @t36 () (= @t35 0/1)) % 0.37/0.60 (define @t37 () (>= @t35 @t21)) % 0.37/0.60 (define @t38 () (not @t37)) % 0.37/0.60 (define @t39 () (and @t31 @t32)) % 0.37/0.60 (define @t40 () (@list @t28)) % 0.37/0.60 (define @t41 () (>= tptp.y 1/1)) % 0.37/0.60 (define @t42 () (not @t41)) % 0.37/0.60 (define @t43 () (ite @t13 @t42 (not (>= @t10 1/1)))) % 0.37/0.60 (define @t44 () (@list true false)) % 0.37/0.60 (define @t45 () (= tptp.x 0/1)) % 0.37/0.60 (define @t46 () (not @t45)) % 0.37/0.60 (define @t47 () (and @t45 @t32)) % 0.37/0.60 (define @t48 () (not @t43)) % 0.37/0.60 (define @t49 () (and @t43 @t46)) % 0.37/0.60 (define @t50 () (+ tptp.x @t6)) % 0.37/0.60 (define @t51 () (>= @t50 0/1)) % 0.37/0.60 (define @t52 () (- @t5)) % 0.37/0.60 (define @t53 () (- tptp.x)) % 0.37/0.60 (define @t54 () (<= @t53 @t52)) % 0.37/0.60 (define @t55 () (+ tptp.x @t5)) % 0.37/0.60 (define @t56 () (>= @t55 0/1)) % 0.37/0.60 (define @t57 () (<= @t53 @t5)) % 0.37/0.60 (define @t58 () (>= @t5 0/1)) % 0.37/0.60 (define @t59 () (ite @t58 (> @t53 @t5) (> @t53 @t52))) % 0.37/0.60 (define @t60 () (+ @t27 @t6)) % 0.37/0.60 (define @t61 () (>= @t60 0/1)) % 0.37/0.60 (define @t62 () (<= tptp.x @t52)) % 0.37/0.60 (define @t63 () (+ @t27 @t5)) % 0.37/0.60 (define @t64 () (* -1/1 (- @t63 0/1))) % 0.37/0.60 (define @t65 () (>= @t63 0/1)) % 0.37/0.60 (define @t66 () (>= @t5 tptp.x)) % 0.37/0.60 (define @t67 () (ite @t58 (> tptp.x @t5) (> tptp.x @t52))) % 0.37/0.60 (define @t68 () (ite @t30 @t67 @t59)) % 0.37/0.60 (define @t69 () (- tptp.y)) % 0.37/0.60 (define @t70 () (- 1/1)) % 0.37/0.60 (define @t71 () (<= @t70 @t69)) % 0.37/0.60 (define @t72 () (<= @t70 tptp.y)) % 0.37/0.60 (define @t73 () (ite @t13 (> @t70 tptp.y) (> @t70 @t69))) % 0.37/0.60 (define @t74 () (<= 1/1 @t69)) % 0.37/0.60 (define @t75 () (ite @t13 (> 1/1 tptp.y) (> 1/1 @t69))) % 0.37/0.60 (define @t76 () (>= 1/1 0/1)) % 0.37/0.60 (define @t77 () (ite @t76 @t75 @t73)) % 0.37/0.60 (define @t78 () (and @t77 @t46)) % 0.37/0.60 (define @t79 () (abs @t5)) % 0.37/0.60 (define @t80 () (abs tptp.x)) % 0.37/0.60 (define @t81 () (+ (* -1/1 @t80) @t79)) % 0.37/0.60 (define @t82 () (>= @t79 @t80)) % 0.37/0.60 (define @t83 () (* tptp.y tptp.x)) % 0.37/0.60 (define @t84 () (abs @t83)) % 0.37/0.60 (define @t85 () (* 1/1 tptp.x)) % 0.37/0.60 (define @t86 () (abs @t85)) % 0.37/0.60 (define @t87 () (<= @t86 @t84)) % 0.37/0.60 (define @t88 () (not @t65)) % 0.37/0.60 (define @t89 () (ite @t58 @t88 (not @t61))) % 0.37/0.60 (define @t90 () (ite @t30 @t89 (ite @t58 (not @t56) (not @t51)))) % 0.37/0.60 (define @t91 () (@list false false)) % 0.37/0.60 (define @t92 () (not @t8)) % 0.37/0.60 (define @t93 () (not @t92)) % 0.37/0.60 (define @t94 () (>= 0/1 @t50)) % 0.37/0.60 (define @t95 () (> @t50 0/1)) % 0.37/0.60 (define @t96 () (+ @t20 0/1 @t20)) % 0.37/0.60 (define @t97 () (* 0/1 tptp.x)) % 0.37/0.60 (define @t98 () (* 0/1 @t5)) % 0.37/0.60 (define @t99 () (+ @t10 @t98 tptp.y @t97)) % 0.37/0.60 (define @t100 () (+ (* -1/1 @t50) @t7 @t10)) % 0.37/0.60 (define @t101 () (>= @t100 @t96)) % 0.37/0.60 (define @t102 () (and @t13 @t92 @t88)) % 0.37/0.60 (define @t103 () (not @t58)) % 0.37/0.60 (define @t104 () (+ @t20 0/1 @t20 0/1)) % 0.37/0.60 (define @t105 () (+ @t27 @t10 @t6 @t5 tptp.y tptp.x)) % 0.37/0.60 (define @t106 () (+ @t27 @t5 @t10 @t7)) % 0.37/0.60 (define @t107 () (>= @t106 @t104)) % 0.37/0.60 (define @t108 () (and @t92 @t13 @t103 @t30)) % 0.37/0.60 (assume @p1 @t1) % 0.37/0.60 (assume @p2 @t2) % 0.37/0.60 (assume @p3 (< tptp.y 1/1)) % 0.37/0.60 (assume @p4 (> @t4 @t3)) % 0.37/0.60 (assume @p5 (not false)) % 0.37/0.60 (assume @p6 true) % 0.37/0.60 (step @p7 :rule arith_poly_norm :args ((= (* 1/1 (- @t3 @t5)) (* 1/1 (- @t7 0/1))))) % 0.37/0.60 (step @p8 :rule arith_poly_norm_rel :premises (@p7) :args ((= (>= @t3 @t5) @t8))) % 0.37/0.60 (step @p9 :rule arith-elim-leq :args (@t5 @t3)) % 0.37/0.60 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.60 (step @p11 :rule refl :args (@t3)) % 0.37/0.60 (step @p12 :rule arith_poly_norm :args ((= @t4 @t5))) % 0.37/0.60 (step @p13 :rule cong :premises (@p12 @p11) :args (@t9)) % 0.37/0.60 (step @p14 :rule trans :premises (@p13 @p10)) % 0.37/0.60 (step @p15 :rule cong :premises (@p14) :args ((not @t9))) % 0.37/0.60 (step @p16 :rule arith-elim-leq :args (@t4 @t3)) % 0.37/0.60 (step @p17 :rule symm :premises (@p16)) % 0.37/0.60 (step @p18 :rule cong :premises (@p17) :args ((not (>= @t3 @t4)))) % 0.37/0.60 (step @p19 :rule arith-elim-gt :args (@t4 @t3)) % 0.37/0.60 (step @p20 :rule trans :premises (@p19 @p18)) % 0.37/0.60 (step @p21 :rule trans :premises (@p20 @p15)) % 0.37/0.60 (step @p22 :rule eq_resolve :premises (@p4 @p21)) % 0.37/0.60 (step @p23 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 tptp.y)) (* -1/1 (- @t10 0/1))))) % 0.37/0.60 (step @p24 :rule arith_poly_norm_rel :premises (@p23) :args ((= @t12 @t11))) % 0.37/0.60 (step @p25 :rule arith-elim-leq :args (tptp.y 0/1)) % 0.37/0.60 (step @p26 :rule trans :premises (@p25 @p24)) % 0.37/0.60 (step @p27 :rule cong :premises (@p26) :args ((not (<= tptp.y 0/1)))) % 0.37/0.60 (step @p28 :rule symm :premises (@p25)) % 0.37/0.60 (step @p29 :rule cong :premises (@p28) :args ((not @t12))) % 0.37/0.60 (step @p30 :rule arith-elim-gt :args (tptp.y 0/1)) % 0.37/0.60 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.60 (step @p32 :rule trans :premises (@p31 @p27)) % 0.37/0.60 (step @p33 :rule eq_resolve :premises (@p2 @p32)) % 0.37/0.60 (step @p34 :rule bool-double-not-elim :args (@t13)) % 0.37/0.60 (step @p35 :rule bool-double-not-elim :args (@t11)) % 0.37/0.60 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t15) (not @t14)))) % 0.37/0.60 (assume-push @p470 @t14) % 0.37/0.60 (assume-push @p471 @t15) % 0.37/0.60 (step @p39 :rule arith-elim-lt :args (tptp.y 0/1)) % 0.37/0.60 (step @p40 :rule symm :premises (@p39)) % 0.37/0.60 (step @p41 :rule eq_resolve :premises (@p470 @p40)) % 0.37/0.60 (step @p42 :rule eq_resolve :premises (@p41 @p39)) % 0.37/0.60 (step @p43 :rule cong :premises (@p39) :args ((not @t16))) % 0.37/0.60 (step @p44 :rule trans :premises (@p43 @p34)) % 0.37/0.60 (assume-push @p472 @t16) % 0.37/0.60 (step @p46 :rule evaluate :args (@t17)) % 0.37/0.60 (step @p47 :rule evaluate :args (@t18)) % 0.37/0.60 (step @p48 :rule evaluate :args (@t19)) % 0.37/0.60 (step @p49 :rule evaluate :args (@t20)) % 0.37/0.60 (step @p50 :rule refl :args (0/1)) % 0.37/0.60 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t21)) % 0.37/0.60 (step @p52 :rule trans :premises (@p51 @p48)) % 0.37/0.60 (step @p53 :rule arith_poly_norm :args ((= @t22 0/1))) % 0.37/0.60 (step @p54 :rule cong :premises (@p53 @p52) :args (@t23)) % 0.37/0.60 (step @p55 :rule trans :premises (@p54 @p47)) % 0.37/0.60 (step @p56 :rule cong :premises (@p55) :args ((not @t23))) % 0.37/0.60 (step @p57 :rule trans :premises (@p56 @p46)) % 0.37/0.60 (step @p58 :rule arith-elim-lt :args (@t22 @t21)) % 0.37/0.60 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.60 (step @p60 :rule arith_mult_neg :args (-1/1 @t2)) % 0.37/0.60 (step @p61 :rule evaluate :args (@t24)) % 0.37/0.60 (step @p62 :rule true_elim :premises (@p61)) % 0.37/0.60 (step @p63 :rule and_intro :premises (@p62 @p2)) % 0.37/0.60 (step @p64 :rule modus_ponens :premises (@p63 @p60)) % 0.37/0.60 (step @p65 :rule arith_sum_ub :premises (@p472 @p64)) % 0.37/0.60 (step @p66 false :rule eq_resolve :premises (@p65 @p59)) % 0.37/0.60 (step-pop @p473 :rule scope :premises (@p66)) % 0.37/0.60 (step @p67 :rule process_scope :premises (@p473) :args (false)) % 0.37/0.60 (step @p69 :rule eq_resolve :premises (@p67 @p44)) % 0.37/0.60 (step @p70 false :rule contra :premises (@p69 @p42)) % 0.37/0.60 (step-pop @p474 :rule scope :premises (@p70)) % 0.37/0.60 (step-pop @p475 :rule scope :premises (@p474)) % 0.37/0.60 (step @p71 :rule process_scope :premises (@p475) :args (false)) % 0.37/0.60 (assume-push @p476 @t15) % 0.37/0.60 (assume-push @p477 @t14) % 0.37/0.60 (step @p76 :rule and_intro :premises (@p477 @p33)) % 0.37/0.60 (step-pop @p478 :rule scope :premises (@p76)) % 0.37/0.60 (step-pop @p479 :rule scope :premises (@p478)) % 0.37/0.60 (step @p77 :rule process_scope :premises (@p479) :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 eq_resolve :premises (@p82 @p36)) % 0.37/0.60 (step @p84 :rule chain_m_resolution :premises (@p83 @p33) :args (@t13 @t26 (@list @t11))) % 0.37/0.60 (step @p85 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 tptp.x)) (* -1/1 (- @t27 0/1))))) % 0.37/0.60 (step @p86 :rule arith_poly_norm_rel :premises (@p85) :args ((= @t29 @t28))) % 0.37/0.60 (step @p87 :rule arith-elim-leq :args (tptp.x 0/1)) % 0.37/0.60 (step @p88 :rule trans :premises (@p87 @p86)) % 0.37/0.60 (step @p89 :rule cong :premises (@p88) :args ((not (<= tptp.x 0/1)))) % 0.37/0.60 (step @p90 :rule symm :premises (@p87)) % 0.37/0.60 (step @p91 :rule cong :premises (@p90) :args ((not @t29))) % 0.37/0.60 (step @p92 :rule arith-elim-gt :args (tptp.x 0/1)) % 0.37/0.60 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.60 (step @p94 :rule trans :premises (@p93 @p89)) % 0.37/0.60 (step @p95 :rule eq_resolve :premises (@p1 @p94)) % 0.37/0.60 (step @p96 :rule bool-double-not-elim :args (@t30)) % 0.37/0.60 (step @p97 :rule bool-double-not-elim :args (@t28)) % 0.37/0.60 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t33 (not @t31)))) % 0.37/0.60 (assume-push @p480 @t31) % 0.37/0.60 (assume-push @p481 @t32) % 0.37/0.60 (step @p101 :rule arith-elim-lt :args (tptp.x 0/1)) % 0.37/0.60 (step @p102 :rule symm :premises (@p101)) % 0.37/0.60 (step @p103 :rule eq_resolve :premises (@p480 @p102)) % 0.37/0.60 (step @p104 :rule eq_resolve :premises (@p103 @p101)) % 0.37/0.60 (step @p105 :rule cong :premises (@p101) :args ((not @t34))) % 0.37/0.60 (step @p106 :rule trans :premises (@p105 @p96)) % 0.37/0.60 (assume-push @p482 @t34) % 0.37/0.60 (step @p46 :rule evaluate :args (@t17)) % 0.37/0.60 (step @p47 :rule evaluate :args (@t18)) % 0.37/0.60 (step @p48 :rule evaluate :args (@t19)) % 0.37/0.60 (step @p49 :rule evaluate :args (@t20)) % 0.37/0.60 (step @p50 :rule refl :args (0/1)) % 0.37/0.60 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t21)) % 0.37/0.60 (step @p52 :rule trans :premises (@p51 @p48)) % 0.37/0.60 (step @p108 :rule arith_poly_norm :args (@t36)) % 0.37/0.60 (step @p109 :rule cong :premises (@p108 @p52) :args (@t37)) % 0.37/0.60 (step @p110 :rule trans :premises (@p109 @p47)) % 0.37/0.60 (step @p111 :rule cong :premises (@p110) :args (@t38)) % 0.37/0.60 (step @p112 :rule trans :premises (@p111 @p46)) % 0.37/0.60 (step @p113 :rule arith-elim-lt :args (@t35 @t21)) % 0.37/0.60 (step @p114 :rule trans :premises (@p113 @p112)) % 0.37/0.60 (step @p115 :rule arith_mult_neg :args (-1/1 @t1)) % 0.37/0.60 (step @p61 :rule evaluate :args (@t24)) % 0.37/0.60 (step @p62 :rule true_elim :premises (@p61)) % 0.37/0.60 (step @p116 :rule and_intro :premises (@p62 @p1)) % 0.37/0.60 (step @p117 :rule modus_ponens :premises (@p116 @p115)) % 0.37/0.60 (step @p118 :rule arith_sum_ub :premises (@p482 @p117)) % 0.37/0.60 (step @p119 false :rule eq_resolve :premises (@p118 @p114)) % 0.37/0.60 (step-pop @p483 :rule scope :premises (@p119)) % 0.37/0.60 (step @p120 :rule process_scope :premises (@p483) :args (false)) % 0.37/0.60 (step @p122 :rule eq_resolve :premises (@p120 @p106)) % 0.37/0.60 (step @p123 false :rule contra :premises (@p122 @p104)) % 0.37/0.60 (step-pop @p484 :rule scope :premises (@p123)) % 0.37/0.60 (step-pop @p485 :rule scope 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@p508 :rule scope :premises (@p385)) % 0.37/0.60 (step @p386 :rule process_scope :premises (@p508) :args (false)) % 0.37/0.60 (step @p388 :rule eq_resolve :premises (@p386 @p356)) % 0.37/0.60 (step @p389 :rule eq_resolve :premises (@p388 @p354)) % 0.37/0.60 (step @p390 :rule symm :premises (@p350)) % 0.37/0.60 (step @p391 :rule eq_resolve :premises (@p506 @p390)) % 0.37/0.60 (step @p392 false :rule contra :premises (@p391 @p389)) % 0.37/0.60 (step-pop @p509 :rule scope :premises (@p392)) % 0.37/0.60 (step-pop @p510 :rule scope :premises (@p509)) % 0.37/0.60 (step-pop @p511 :rule scope :premises (@p510)) % 0.37/0.60 (step @p393 :rule process_scope :premises (@p511) :args (false)) % 0.37/0.60 (assume-push @p512 @t92) % 0.37/0.60 (assume-push @p513 @t13) % 0.37/0.60 (assume-push @p514 @t88) % 0.37/0.60 (step @p400 :rule and_intro :premises (@p513 @p22 @p514)) % 0.37/0.60 (step-pop @p515 :rule scope :premises (@p400)) % 0.37/0.60 (step-pop @p516 :rule scope :premises (@p515)) % 0.37/0.60 (step-pop @p517 :rule scope :premises (@p516)) % 0.37/0.60 (step @p401 :rule process_scope :premises (@p517) :args (@t102)) % 0.37/0.60 (step @p405 :rule implies_elim :premises (@p401)) % 0.37/0.60 (step @p406 :rule resolution :premises (@p405 @p393) :args (true @t102)) % 0.37/0.60 (step @p407 :rule not_and :premises (@p406)) % 0.37/0.60 (step @p408 :rule eq_resolve :premises (@p407 @p337)) % 0.37/0.60 (step @p409 :rule reordering :premises (@p408) :args ((or @t8 @t65 @t14))) % 0.37/0.60 (step @p410 :rule chain_m_resolution :premises (@p409 @p22 @p84) :args (@t65 @t44 (@list @t8 @t13))) % 0.37/0.60 (step @p411 :rule cnf_ite_pos1 :args (@t89)) % 0.37/0.60 (step @p412 :rule reordering :premises (@p411) :args ((or @t88 @t103 (not @t89)))) % 0.37/0.60 (step @p413 :rule chain_m_resolution :premises (@p412 @p410 @p334) :args (@t103 @t91 (@list @t65 @t89))) % 0.37/0.60 (step @p414 :rule bool-double-not-elim :args (@t58)) % 0.37/0.60 (step @p415 :rule refl :args (@t31)) % 0.37/0.60 (step @p416 :rule nary_cong :premises (@p336 @p141 @p415 @p414) :args ((or @t93 @t14 @t31 (not @t103)))) % 0.37/0.60 (assume-push @p518 @t92) % 0.37/0.60 (assume-push @p519 @t13) % 0.37/0.60 (assume-push @p520 @t103) % 0.37/0.60 (assume-push @p521 @t30) % 0.37/0.60 (step @p101 :rule arith-elim-lt :args (tptp.x 0/1)) % 0.37/0.60 (step @p102 :rule symm :premises (@p101)) % 0.37/0.60 (assume-push @p522 @t30) % 0.37/0.60 (step @p46 :rule evaluate :args (@t17)) % 0.37/0.60 (step @p47 :rule evaluate :args (@t18)) % 0.37/0.60 (step @p422 :rule evaluate :args ((+ 0/1 0/1 0/1 0/1))) % 0.37/0.60 (step @p50 :rule refl :args (0/1)) % 0.37/0.60 (step @p49 :rule evaluate :args (@t20)) % 0.37/0.60 (step @p423 :rule nary_cong :premises (@p49 @p50 @p49 @p50) :args (@t104)) % 0.37/0.60 (step @p424 :rule trans :premises (@p423 @p422)) % 0.37/0.60 (step @p425 :rule arith_poly_norm :args ((= @t105 0/1))) % 0.37/0.60 (step @p426 :rule arith_poly_norm :args ((= @t106 @t105))) % 0.37/0.60 (step @p427 :rule trans :premises (@p426 @p425)) % 0.37/0.60 (step @p428 :rule cong :premises (@p427 @p424) :args (@t107)) % 0.37/0.60 (step @p429 :rule trans :premises (@p428 @p47)) % 0.37/0.60 (step @p430 :rule cong :premises (@p429) :args ((not @t107))) % 0.37/0.60 (step @p431 :rule trans :premises (@p430 @p46)) % 0.37/0.60 (step @p432 :rule arith-elim-lt :args (@t106 @t104)) % 0.37/0.60 (step @p433 :rule trans :premises (@p432 @p431)) % 0.37/0.60 (step @p378 :rule arith-elim-lt :args (@t7 0/1)) % 0.37/0.60 (step @p379 :rule symm :premises (@p378)) % 0.37/0.60 (step @p380 :rule eq_resolve :premises (@p22 @p379)) % 0.37/0.60 (step @p375 :rule arith_mult_neg :args (-1/1 @t13)) % 0.37/0.60 (step @p61 :rule evaluate :args (@t24)) % 0.37/0.60 (step @p62 :rule true_elim :premises (@p61)) % 0.37/0.60 (step @p434 :rule and_intro :premises (@p62 @p519)) % 0.37/0.60 (step @p435 :rule modus_ponens :premises (@p434 @p375)) % 0.37/0.60 (step @p436 :rule arith-elim-lt :args (@t5 0/1)) % 0.37/0.60 (step @p437 :rule symm :premises (@p436)) % 0.37/0.60 (step @p438 :rule eq_resolve :premises (@p520 @p437)) % 0.37/0.60 (step @p439 :rule arith_mult_neg :args (-1/1 @t30)) % 0.37/0.60 (step @p440 :rule and_intro :premises (@p62 @p521)) % 0.37/0.60 (step @p441 :rule modus_ponens :premises (@p440 @p439)) % 0.37/0.60 (step @p442 :rule arith_sum_ub :premises (@p441 @p438 @p435 @p380)) % 0.37/0.60 (step @p443 false :rule eq_resolve :premises (@p442 @p433)) % 0.37/0.60 (step-pop @p523 :rule scope :premises (@p443)) % 0.37/0.60 (step @p444 :rule process_scope :premises (@p523) :args (false)) % 0.37/0.60 (step @p446 :rule eq_resolve :premises (@p444 @p102)) % 0.37/0.60 (step @p447 :rule eq_resolve :premises (@p446 @p101)) % 0.37/0.60 (step @p448 false :rule contra :premises (@p521 @p447)) % 0.37/0.60 (step-pop @p524 :rule scope :premises (@p448)) % 0.37/0.60 (step-pop @p525 :rule scope :premises (@p524)) % 0.37/0.60 (step-pop @p526 :rule scope :premises (@p525)) % 0.37/0.60 (step-pop @p527 :rule scope :premises (@p526)) % 0.37/0.60 (step @p449 :rule process_scope :premises (@p527) :args (false)) % 0.37/0.60 (assume-push @p528 @t92) % 0.37/0.60 (assume-push @p529 @t13) % 0.37/0.60 (assume-push @p530 @t30) % 0.37/0.60 (assume-push @p531 @t103) % 0.37/0.60 (step @p458 :rule and_intro :premises (@p22 @p529 @p531 @p530)) % 0.37/0.60 (step-pop @p532 :rule scope :premises (@p458)) % 0.37/0.60 (step-pop @p533 :rule scope :premises (@p532)) % 0.37/0.60 (step-pop @p534 :rule scope :premises (@p533)) % 0.37/0.60 (step-pop @p535 :rule scope :premises (@p534)) % 0.37/0.60 (step @p459 :rule process_scope :premises (@p535) :args (@t108)) % 0.37/0.60 (step @p464 :rule implies_elim :premises (@p459)) % 0.37/0.60 (step @p465 :rule resolution :premises (@p464 @p449) :args (true @t108)) % 0.37/0.60 (step @p466 :rule not_and :premises (@p465)) % 0.37/0.60 (step @p467 :rule eq_resolve :premises (@p466 @p416)) % 0.37/0.60 (step @p468 :rule reordering :premises (@p467) :args ((or @t8 @t58 @t14 @t31))) % 0.37/0.60 (step @p469 false :rule chain_m_resolution :premises (@p468 @p413 @p137 @p84 @p22) :args (false (@list true false false true) (@list @t58 @t30 @t13 @t8))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------