%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI596_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:07:56 AM UTC 2026 % Result : Theorem 105.51s 105.70s % Output : Proof 105.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI596_1 : TPTP v9.2.1. Released v5.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:29:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_ARI % 105.51/105.70 --- Run --finite-model-find --decision=internal at 45... % 105.51/105.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 105.51/105.70 --- Run --no-e-matching --full-saturate-quant at 45... % 105.51/105.70 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 105.51/105.70 % SZS status Theorem % 105.51/105.70 % SZS output start Proof % 105.51/105.70 ( % 105.51/105.70 (declare-const tptp.a Int) % 105.51/105.70 (declare-const tptp.p (-> Int Bool)) % 105.51/105.70 (define @t1 () (@var "X" Int)) % 105.51/105.70 (define @t2 () (tptp.p (* 3 @t1))) % 105.51/105.70 (define @t3 () (@list @t1)) % 105.51/105.70 (define @t4 () (exists @t3 @t2)) % 105.51/105.70 (define @t5 () (- tptp.a 1)) % 105.51/105.70 (define @t6 () (tptp.p @t5)) % 105.51/105.70 (define @t7 () (+ tptp.a 1)) % 105.51/105.70 (define @t8 () (tptp.p @t7)) % 105.51/105.70 (define @t9 () (tptp.p tptp.a)) % 105.51/105.70 (define @t10 () (and @t9 @t8 @t6)) % 105.51/105.70 (define @t11 () (=> @t10 @t4)) % 105.51/105.70 (define @t12 () (not @t11)) % 105.51/105.70 (define @t13 () (div_total tptp.a 3)) % 105.51/105.70 (define @t14 () (@purify @t13)) % 105.51/105.70 (define @t15 () (+ tptp.a (* -3 @t14))) % 105.51/105.70 (define @t16 () (- @t15 3)) % 105.51/105.70 (define @t17 () (* 3 @t14)) % 105.51/105.70 (define @t18 () (+ 3 @t17)) % 105.51/105.70 (define @t19 () (>= @t15 3)) % 105.51/105.70 (define @t20 () (+ 1 @t14)) % 105.51/105.70 (define @t21 () (+ @t14 1)) % 105.51/105.70 (define @t22 () (* 3 @t21)) % 105.51/105.70 (define @t23 () (>= tptp.a @t22)) % 105.51/105.70 (define @t24 () (* 1 (- @t15 0))) % 105.51/105.70 (define @t25 () (* 1 (- tptp.a @t17))) % 105.51/105.70 (define @t26 () (>= @t15 0)) % 105.51/105.70 (define @t27 () (forall @t3 (not @t2))) % 105.51/105.70 (define @t28 () (+ -1 tptp.a)) % 105.51/105.70 (define @t29 () (* -1 1)) % 105.51/105.70 (define @t30 () (+ tptp.a @t29)) % 105.51/105.70 (define @t31 () (+ 1 tptp.a)) % 105.51/105.70 (define @t32 () (div_total @t31 3)) % 105.51/105.70 (define @t33 () (* 3 @t32)) % 105.51/105.70 (define @t34 () (tptp.p @t33)) % 105.51/105.70 (define @t35 () (not @t34)) % 105.51/105.70 (define @t36 () (@purify @t32)) % 105.51/105.70 (define @t37 () (* 3 @t36)) % 105.51/105.70 (define @t38 () (tptp.p @t37)) % 105.51/105.70 (define @t39 () (not @t38)) % 105.51/105.70 (define @t40 () (@list false)) % 105.51/105.70 (define @t41 () (@list @t27)) % 105.51/105.70 (define @t42 () (+ -1 @t37)) % 105.51/105.70 (define @t43 () (= tptp.a @t42)) % 105.51/105.70 (define @t44 () (not @t43)) % 105.51/105.70 (define @t45 () (tptp.p @t31)) % 105.51/105.70 (define @t46 () (not @t45)) % 105.51/105.70 (define @t47 () (= @t31 @t37)) % 105.51/105.70 (define @t48 () (= false true)) % 105.51/105.70 (define @t49 () (* 1 (- tptp.a @t42))) % 105.51/105.70 (define @t50 () (* 1 (- @t31 @t37))) % 105.51/105.70 (define @t51 () (and @t45 @t47 @t39)) % 105.51/105.70 (define @t52 () (@list false true)) % 105.51/105.70 (define @t53 () (+ tptp.a (* -3 @t36))) % 105.51/105.70 (define @t54 () (+ 3 @t37)) % 105.51/105.70 (define @t55 () (>= @t53 2)) % 105.51/105.70 (define @t56 () (+ 1 @t36)) % 105.51/105.70 (define @t57 () (+ @t36 1)) % 105.51/105.70 (define @t58 () (* 3 @t57)) % 105.51/105.70 (define @t59 () (>= @t31 @t58)) % 105.51/105.70 (define @t60 () (* 1 (- @t53 -1))) % 105.51/105.70 (define @t61 () (>= @t53 -1)) % 105.51/105.70 (define @t62 () (>= @t53 0)) % 105.51/105.70 (define @t63 () (not @t61)) % 105.51/105.70 (define @t64 () (= @t53 -1)) % 105.51/105.70 (define @t65 () (and @t61 @t44)) % 105.51/105.70 (define @t66 () (* 3 @t13)) % 105.51/105.70 (define @t67 () (tptp.p @t66)) % 105.51/105.70 (define @t68 () (not @t67)) % 105.51/105.70 (define @t69 () (tptp.p @t17)) % 105.51/105.70 (define @t70 () (not @t69)) % 105.51/105.70 (define @t71 () (= tptp.a @t17)) % 105.51/105.70 (define @t72 () (not @t71)) % 105.51/105.70 (define @t73 () (not @t9)) % 105.51/105.70 (define @t74 () (not @t70)) % 105.51/105.70 (define @t75 () (and @t9 @t71 @t70)) % 105.51/105.70 (define @t76 () (>= @t15 1)) % 105.51/105.70 (define @t77 () (not @t26)) % 105.51/105.70 (define @t78 () (= @t15 0)) % 105.51/105.70 (define @t79 () (and @t26 @t72)) % 105.51/105.70 (define @t80 () (+ 1 @t17)) % 105.51/105.70 (define @t81 () (= tptp.a @t80)) % 105.51/105.70 (define @t82 () (not @t81)) % 105.51/105.70 (define @t83 () (tptp.p @t28)) % 105.51/105.70 (define @t84 () (not @t83)) % 105.51/105.70 (define @t85 () (= @t28 @t17)) % 105.51/105.70 (define @t86 () (* -1 (- tptp.a @t80))) % 105.51/105.70 (define @t87 () (and @t83 @t85 @t70)) % 105.51/105.70 (define @t88 () (* -1 @t36)) % 105.51/105.70 (define @t89 () (+ @t14 @t88)) % 105.51/105.70 (define @t90 () (>= @t89 0)) % 105.51/105.70 (define @t91 () (not @t90)) % 105.51/105.70 (define @t92 () (not @t76)) % 105.51/105.70 (define @t93 () (not @t55)) % 105.51/105.70 (define @t94 () (* -1/3 2/1)) % 105.51/105.70 (define @t95 () (* 1/3 1/1)) % 105.51/105.70 (define @t96 () (to_real 0)) % 105.51/105.70 (define @t97 () (* -1 0)) % 105.51/105.70 (define @t98 () (to_real @t97)) % 105.51/105.70 (define @t99 () (+ @t98 @t95 @t94)) % 105.51/105.70 (define @t100 () (to_real tptp.a)) % 105.51/105.70 (define @t101 () (+ (* -1/3 @t100) (to_real @t14))) % 105.51/105.70 (define @t102 () (+ (* 1/3 @t100) (to_real @t88))) % 105.51/105.70 (define @t103 () (* -1 @t14)) % 105.51/105.70 (define @t104 () (+ @t103 @t36)) % 105.51/105.70 (define @t105 () (to_real @t15)) % 105.51/105.70 (define @t106 () (* -1/3 @t105)) % 105.51/105.70 (define @t107 () (to_real @t53)) % 105.51/105.70 (define @t108 () (* 1/3 @t107)) % 105.51/105.70 (define @t109 () (* -1 @t89)) % 105.51/105.70 (define @t110 () (to_real @t109)) % 105.51/105.70 (define @t111 () (+ @t110 @t108 @t106)) % 105.51/105.70 (define @t112 () (< -1/3 0/1)) % 105.51/105.70 (define @t113 () (>= @t15 2)) % 105.51/105.70 (define @t114 () (to_real 2)) % 105.51/105.70 (define @t115 () (>= @t105 @t114)) % 105.51/105.70 (define @t116 () (= @t15 1)) % 105.51/105.70 (define @t117 () (> 1/3 0/1)) % 105.51/105.70 (define @t118 () (<= @t53 1)) % 105.51/105.70 (define @t119 () (to_real 1)) % 105.51/105.70 (define @t120 () (<= @t107 @t119)) % 105.51/105.70 (define @t121 () (not @t62)) % 105.51/105.70 (define @t122 () (not @t19)) % 105.51/105.70 (define @t123 () (+ -1 1)) % 105.51/105.70 (define @t124 () (>= @t89 @t123)) % 105.51/105.70 (define @t125 () (<= @t89 -1)) % 105.51/105.70 (define @t126 () (* -1/3 0/1)) % 105.51/105.70 (define @t127 () (* 1/3 3/1)) % 105.51/105.70 (define @t128 () (+ -1/1 @t127 @t126)) % 105.51/105.70 (define @t129 () (* 0 tptp.a)) % 105.51/105.70 (define @t130 () (+ @t88 @t36 @t103 @t14 @t129)) % 105.51/105.70 (define @t131 () (to_real @t130)) % 105.51/105.70 (define @t132 () (* -1/3 @t107)) % 105.51/105.70 (define @t133 () (* 1/3 @t105)) % 105.51/105.70 (define @t134 () (to_real @t89)) % 105.51/105.70 (define @t135 () (+ @t134 @t133 @t132)) % 105.51/105.70 (define @t136 () (>= @t135 @t128)) % 105.51/105.70 (define @t137 () (>= @t107 @t96)) % 105.51/105.70 (define @t138 () (< @t15 3)) % 105.51/105.70 (define @t139 () (to_real 3)) % 105.51/105.70 (define @t140 () (< @t105 @t139)) % 105.51/105.70 (define @t141 () (to_real -1)) % 105.51/105.70 (define @t142 () (<= @t134 @t141)) % 105.51/105.70 (define @t143 () (and @t62 @t122 @t91)) % 105.51/105.70 (assume @p1 @t12) % 105.51/105.70 (assume @p2 true) % 105.51/105.70 (step @p3 :rule arith_poly_norm :args ((= (* -3 (- tptp.a @t18)) (* -3 @t16)))) % 105.51/105.70 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= tptp.a @t18) @t19))) % 105.51/105.70 (step @p5 :rule arith_poly_norm :args ((= (* 3 @t20) @t18))) % 105.51/105.70 (step @p6 :rule arith_poly_norm :args ((= @t21 @t20))) % 105.51/105.70 (step @p7 :rule refl :args (3)) % 105.51/105.70 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t22)) % 105.51/105.70 (step @p9 :rule trans :premises (@p8 @p5)) % 105.51/105.70 (step @p10 :rule refl :args (tptp.a)) % 105.51/105.70 (step @p11 :rule cong :premises (@p10 @p9) :args (@t23)) % 105.51/105.70 (step @p12 :rule trans :premises (@p11 @p4)) % 105.51/105.70 (step @p13 :rule cong :premises (@p12) :args ((not @t23))) % 105.51/105.70 (step @p14 :rule arith-elim-lt :args (tptp.a @t22)) % 105.51/105.70 (step @p15 :rule trans :premises (@p14 @p13)) % 105.51/105.70 (step @p16 :rule arith_poly_norm :args ((= @t25 @t24))) % 105.51/105.70 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= (>= tptp.a @t17) @t26))) % 105.51/105.70 (step @p18 :rule arith-elim-leq :args (@t17 tptp.a)) % 105.51/105.70 (step @p19 :rule trans :premises (@p18 @p17)) % 105.51/105.70 (step @p20 :rule nary_cong :premises (@p19 @p15) :args ((and (<= @t17 tptp.a) (< tptp.a @t22)))) % 105.51/105.70 (step @p21 :rule arith_reduction :args (@t13)) % 105.51/105.70 (step @p22 :rule and_elim :premises (@p21) :args (1)) % 105.51/105.70 (step @p23 :rule eq_resolve :premises (@p22 @p20)) % 105.51/105.70 (step @p24 :rule and_elim :premises (@p23) :args (1)) % 105.51/105.70 (step @p25 :rule exists-elim :args ((= @t4 (not @t27)))) % 105.51/105.70 (step @p26 :rule arith_poly_norm :args ((= (+ tptp.a -1) @t28))) % 105.51/105.70 (step @p27 :rule evaluate :args (@t29)) % 105.51/105.70 (step @p28 :rule nary_cong :premises (@p10 @p27) :args (@t30)) % 105.51/105.70 (step @p29 :rule trans :premises (@p28 @p26)) % 105.51/105.70 (step @p30 :rule arith_poly_norm :args ((= @t5 @t30))) % 105.51/105.70 (step @p31 :rule trans :premises (@p30 @p29)) % 105.51/105.70 (step @p32 :rule cong :premises (@p31) :args (@t6)) % 105.51/105.70 (step @p33 :rule arith_poly_norm :args ((= @t7 @t31))) % 105.51/105.70 (step @p34 :rule cong :premises (@p33) :args (@t8)) % 105.51/105.70 (step @p35 :rule refl :args (@t9)) % 105.51/105.70 (step @p36 :rule nary_cong :premises (@p35 @p34 @p32) :args (@t10)) % 105.51/105.70 (step @p37 :rule cong :premises (@p36 @p25) :args (@t11)) % 105.51/105.70 (step @p38 :rule cong :premises (@p37) :args (@t12)) % 105.51/105.70 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 105.51/105.70 (step @p40 :rule not_implies_elim2 :premises (@p39)) % 105.51/105.70 (step @p41 :rule not_not_elim :premises (@p40)) % 105.51/105.70 (step @p42 :rule arith_reduction :args (@t32)) % 105.51/105.70 (step @p43 :rule and_elim :premises (@p42) :args (0)) % 105.51/105.70 (step @p44 :rule nary_cong :premises (@p7 @p43) :args (@t33)) % 105.51/105.70 (step @p45 :rule cong :premises (@p44) :args (@t34)) % 105.51/105.70 (step @p46 :rule cong :premises (@p45) :args (@t35)) % 105.51/105.70 (step @p47 :rule refl :args (@t27)) % 105.51/105.70 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t27 @t35))) % 105.51/105.70 (assume-push @p469 @t27) % 105.51/105.70 (step @p50 :rule instantiate :premises (@p41) :args ((@list @t32))) % 105.51/105.70 (step-pop @p470 :rule scope :premises (@p50)) % 105.51/105.70 (step @p51 :rule process_scope :premises (@p470) :args (@t35)) % 105.51/105.70 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 105.51/105.70 (step @p54 :rule implies_elim :premises (@p53)) % 105.51/105.70 (step @p55 :rule chain_m_resolution :premises (@p54 @p41) :args (@t39 @t40 @t41)) % 105.51/105.70 (step @p56 :rule not_implies_elim1 :premises (@p39)) % 105.51/105.70 (step @p57 :rule and_elim :premises (@p56) :args (1)) % 105.51/105.70 (step @p58 :rule refl :args (@t44)) % 105.51/105.70 (step @p59 :rule bool-double-not-elim :args (@t38)) % 105.51/105.70 (step @p60 :rule refl :args (@t46)) % 105.51/105.70 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args ((or @t46 (not @t39) @t44))) % 105.51/105.70 (assume-push @p471 @t45) % 105.51/105.70 (assume-push @p472 @t47) % 105.51/105.70 (assume-push @p473 @t39) % 105.51/105.70 (step @p65 :rule evaluate :args (@t48)) % 105.51/105.70 (step @p66 :rule true_intro :premises (@p57)) % 105.51/105.70 (step @p67 :rule symm :premises (@p472)) % 105.51/105.70 (step @p68 :rule cong :premises (@p67) :args (@t38)) % 105.51/105.70 (step @p69 :rule false_intro :premises (@p55)) % 105.51/105.70 (step @p70 :rule symm :premises (@p69)) % 105.51/105.70 (step @p71 :rule trans :premises (@p70 @p68 @p66)) % 105.51/105.70 (step @p72 false :rule eq_resolve :premises (@p71 @p65)) % 105.51/105.70 (step-pop @p474 :rule scope :premises (@p72)) % 105.51/105.70 (step-pop @p475 :rule scope :premises (@p474)) % 105.51/105.70 (step-pop @p476 :rule scope :premises (@p475)) % 105.51/105.70 (step @p73 :rule process_scope :premises (@p476) :args (false)) % 105.51/105.70 (assume-push @p477 @t45) % 105.51/105.70 (assume-push @p478 @t39) % 105.51/105.70 (assume-push @p479 @t43) % 105.51/105.70 (step @p80 :rule arith_poly_norm :args ((= @t50 @t49))) % 105.51/105.70 (step @p81 :rule arith_poly_norm_rel :premises (@p80) :args ((= @t47 @t43))) % 105.51/105.70 (step @p82 :rule symm :premises (@p81)) % 105.51/105.70 (step @p83 :rule eq_resolve :premises (@p479 @p82)) % 105.51/105.70 (step @p84 :rule and_intro :premises (@p57 @p83 @p55)) % 105.51/105.70 (step-pop @p480 :rule scope :premises (@p84)) % 105.51/105.70 (step-pop @p481 :rule scope :premises (@p480)) % 105.51/105.70 (step-pop @p482 :rule scope :premises (@p481)) % 105.51/105.70 (step @p85 :rule process_scope :premises (@p482) :args (@t51)) % 105.51/105.70 (step @p89 :rule implies_elim :premises (@p85)) % 105.51/105.70 (step @p90 :rule resolution :premises (@p89 @p73) :args (true @t51)) % 105.51/105.70 (step @p91 :rule not_and :premises (@p90)) % 105.51/105.70 (step @p92 :rule eq_resolve :premises (@p91 @p61)) % 105.51/105.70 (step @p93 :rule chain_m_resolution :premises (@p92 @p57 @p55) :args (@t44 @t52 (@list @t45 @t38))) % 105.51/105.70 (step @p94 :rule arith_poly_norm :args ((= (* -2 (- @t31 @t54)) (* -2 (- @t53 2))))) % 105.51/105.70 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args ((= (>= @t31 @t54) @t55))) % 105.51/105.70 (step @p96 :rule arith_poly_norm :args ((= (* 3 @t56) @t54))) % 105.51/105.70 (step @p97 :rule arith_poly_norm :args ((= @t57 @t56))) % 105.51/105.70 (step @p98 :rule nary_cong :premises (@p7 @p97) :args (@t58)) % 105.51/105.70 (step @p99 :rule trans :premises (@p98 @p96)) % 105.51/105.70 (step @p100 :rule refl :args (@t31)) % 105.51/105.70 (step @p101 :rule cong :premises (@p100 @p99) :args (@t59)) % 105.51/105.70 (step @p102 :rule trans :premises (@p101 @p95)) % 105.51/105.70 (step @p103 :rule cong :premises (@p102) :args ((not @t59))) % 105.51/105.70 (step @p104 :rule arith-elim-lt :args (@t31 @t58)) % 105.51/105.70 (step @p105 :rule trans :premises (@p104 @p103)) % 105.51/105.70 (step @p106 :rule arith_poly_norm :args ((= @t50 @t60))) % 105.51/105.70 (step @p107 :rule arith_poly_norm_rel :premises (@p106) :args ((= (>= @t31 @t37) @t61))) % 105.51/105.70 (step @p108 :rule arith-elim-leq :args (@t37 @t31)) % 105.51/105.70 (step @p109 :rule trans :premises (@p108 @p107)) % 105.51/105.70 (step @p110 :rule nary_cong :premises (@p109 @p105) :args ((and (<= @t37 @t31) (< @t31 @t58)))) % 105.51/105.70 (step @p111 :rule and_elim :premises (@p42) :args (1)) % 105.51/105.70 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 105.51/105.70 (step @p113 :rule and_elim :premises (@p112) :args (0)) % 105.51/105.70 (step @p114 :rule refl :args (@t62)) % 105.51/105.70 (step @p115 :rule bool-double-not-elim :args (@t43)) % 105.51/105.70 (step @p116 :rule refl :args (@t63)) % 105.51/105.70 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args ((or @t63 (not @t44) @t62))) % 105.51/105.70 (assume-push @p483 @t61) % 105.51/105.70 (assume-push @p484 @t44) % 105.51/105.70 (assume-push @p485 @t61) % 105.51/105.70 (assume-push @p486 @t44) % 105.51/105.70 (step @p122 :rule arith_poly_norm :args ((= @t60 @t49))) % 105.51/105.70 (step @p123 :rule arith_poly_norm_rel :premises (@p122) :args ((= @t64 @t43))) % 105.51/105.70 (step @p124 :rule cong :premises (@p123) :args ((not @t64))) % 105.51/105.70 (step @p125 :rule symm :premises (@p124)) % 105.51/105.70 (step @p126 :rule eq_resolve :premises (@p484 @p125)) % 105.51/105.70 (step @p127 :rule arith_trichotomy :premises (@p113 @p126)) % 105.51/105.70 (step @p128 :rule int_tight_lb :premises (@p127)) % 105.51/105.70 (step-pop @p487 :rule scope :premises (@p128)) % 105.51/105.70 (step-pop @p488 :rule scope :premises (@p487)) % 105.51/105.70 (step @p129 :rule process_scope :premises (@p488) :args (@t62)) % 105.51/105.70 (step @p132 :rule and_intro 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105.51/105.70 (step @p360 :rule cong :premises (@p359 @p358) :args (@t124)) % 105.51/105.70 (step @p361 :rule cong :premises (@p360) :args ((not @t124))) % 105.51/105.70 (step @p362 :rule arith-leq-norm :args (@t89 -1)) % 105.51/105.70 (step @p363 :rule trans :premises (@p362 @p361)) % 105.51/105.70 (step @p364 :rule cong :premises (@p363) :args ((not @t125))) % 105.51/105.70 (step @p365 :rule trans :premises (@p364 @p347)) % 105.51/105.70 (step @p366 :rule trans :premises (@p357 @p365)) % 105.51/105.70 (step @p367 :rule symm :premises (@p366)) % 105.51/105.70 (step @p368 :rule trans :premises (@p365 @p367)) % 105.51/105.70 (assume-push @p544 @t125) % 105.51/105.70 (step @p370 :rule evaluate :args ((not true))) % 105.51/105.70 (step @p371 :rule evaluate :args ((>= 0/1 0/1))) % 105.51/105.70 (step @p372 :rule evaluate :args ((+ -1/1 1/1 0/1))) % 105.51/105.70 (step @p373 :rule evaluate :args (@t126)) % 105.51/105.70 (step @p374 :rule evaluate :args (@t127)) % 105.51/105.70 (step @p375 :rule refl :args (-1/1)) % 105.51/105.70 (step @p376 :rule nary_cong :premises (@p375 @p374 @p373) :args (@t128)) % 105.51/105.70 (step @p377 :rule trans :premises (@p376 @p372)) % 105.51/105.70 (step @p378 :rule evaluate :args (@t96)) % 105.51/105.70 (step @p379 :rule arith_poly_norm :args ((= (+ @t88 @t36 @t103 @t14 0) 0))) % 105.51/105.70 (step @p380 :rule arith_poly_norm :args ((= @t129 0))) % 105.51/105.70 (step @p381 :rule refl :args (@t14)) % 105.51/105.70 (step @p382 :rule refl :args (@t103)) % 105.51/105.70 (step @p383 :rule refl :args (@t36)) % 105.51/105.70 (step @p384 :rule refl :args (@t88)) % 105.51/105.70 (step @p385 :rule nary_cong :premises (@p384 @p383 @p382 @p381 @p380) :args (@t130)) % 105.51/105.70 (step @p386 :rule trans :premises (@p385 @p379)) % 105.51/105.70 (step @p387 :rule cong :premises (@p386) :args (@t131)) % 105.51/105.70 (step @p388 :rule trans :premises (@p387 @p378)) % 105.51/105.70 (step @p389 :rule arith_poly_norm :args ((= @t135 @t131))) % 105.51/105.70 (step @p390 :rule trans :premises (@p389 @p388)) % 105.51/105.70 (step @p391 :rule cong :premises (@p390 @p377) :args (@t136)) % 105.51/105.70 (step @p392 :rule trans :premises (@p391 @p371)) % 105.51/105.70 (step @p393 :rule cong :premises (@p392) :args ((not @t136))) % 105.51/105.70 (step @p394 :rule trans :premises (@p393 @p370)) % 105.51/105.70 (step @p395 :rule arith-elim-lt :args (@t135 @t128)) % 105.51/105.70 (step @p396 :rule trans :premises (@p395 @p394)) % 105.51/105.70 (assume-push @p545 @t112) % 105.51/105.70 (assume-push @p546 @t62) % 105.51/105.70 (step @p399 :rule arith_mult_neg :args (-1/3 (>= @t107 0/1))) % 105.51/105.70 (step @p400 :rule evaluate :args (@t96)) % 105.51/105.70 (step @p401 :rule refl :args (@t107)) % 105.51/105.70 (step @p402 :rule cong :premises (@p401 @p400) :args (@t137)) % 105.51/105.70 (step @p403 :rule arith_poly_norm :args ((= (* 1/1 (to_real (- @t53 0))) (* 1/1 (- @t107 @t96))))) % 105.51/105.70 (step @p404 :rule arith_poly_norm_rel :premises (@p403) :args ((= @t62 @t137))) % 105.51/105.70 (step @p405 :rule trans :premises (@p404 @p402)) % 105.51/105.70 (step @p406 :rule eq_resolve :premises (@p541 @p405)) % 105.51/105.70 (step @p407 :rule and_intro :premises (@p545 @p406)) % 105.51/105.70 (step @p408 :rule modus_ponens :premises (@p407 @p399)) % 105.51/105.70 (step-pop @p547 :rule scope :premises (@p408)) % 105.51/105.70 (step-pop @p548 :rule scope :premises (@p547)) % 105.51/105.70 (step @p409 :rule process_scope :premises (@p548) :args ((<= @t132 @t126))) % 105.51/105.70 (step @p300 :rule evaluate :args (@t112)) % 105.51/105.70 (step @p301 :rule true_elim :premises (@p300)) % 105.51/105.70 (step @p412 :rule and_intro :premises (@p301 @p541)) % 105.51/105.70 (step @p413 :rule modus_ponens :premises (@p412 @p409)) % 105.51/105.70 (assume-push @p549 @t117) % 105.51/105.70 (assume-push @p550 @t138) % 105.51/105.70 (step @p416 :rule arith_mult_pos :args (1/3 (< @t105 3/1))) % 105.51/105.70 (step @p417 :rule evaluate :args (@t139)) % 105.51/105.70 (step @p418 :rule refl :args (@t105)) % 105.51/105.70 (step @p419 :rule cong :premises (@p418 @p417) :args (@t140)) % 105.51/105.70 (step @p420 :rule arith_poly_norm :args ((= (* -3/1 (to_real @t16)) (* -3/1 (- @t105 @t139))))) % 105.51/105.70 (step @p421 :rule arith_poly_norm_rel :premises (@p420) :args ((= @t138 @t140))) % 105.51/105.70 (step @p422 :rule trans :premises (@p421 @p419)) % 105.51/105.70 (step @p423 :rule eq_resolve :premises (@p550 @p422)) % 105.51/105.70 (step @p424 :rule and_intro :premises (@p549 @p423)) % 105.51/105.70 (step @p425 :rule modus_ponens :premises (@p424 @p416)) % 105.51/105.70 (step-pop @p551 :rule scope :premises (@p425)) % 105.51/105.70 (step-pop @p552 :rule scope :premises (@p551)) % 105.51/105.70 (step @p426 :rule process_scope :premises (@p552) :args ((< @t133 @t127))) % 105.51/105.70 (step @p429 :rule arith-elim-lt :args (@t15 3)) % 105.51/105.70 (step @p430 :rule symm :premises (@p429)) % 105.51/105.70 (step @p431 :rule eq_resolve :premises (@p24 @p430)) % 105.51/105.70 (step @p323 :rule evaluate :args (@t117)) % 105.51/105.70 (step @p324 :rule true_elim :premises (@p323)) % 105.51/105.70 (step @p432 :rule and_intro :premises (@p324 @p431)) % 105.51/105.70 (step @p433 :rule modus_ponens :premises (@p432 @p426)) % 105.51/105.70 (step @p434 :rule evaluate :args (@t141)) % 105.51/105.70 (step @p435 :rule refl :args (@t134)) % 105.51/105.70 (step @p436 :rule cong :premises (@p435 @p434) :args (@t142)) % 105.51/105.70 (step @p437 :rule arith_poly_norm :args ((= (* 1/1 (to_real (- @t89 -1))) (* 1/1 (- @t134 @t141))))) % 105.51/105.70 (step @p438 :rule arith_poly_norm_rel :premises (@p437) :args ((= @t125 @t142))) % 105.51/105.70 (step @p439 :rule trans :premises (@p438 @p436)) % 105.51/105.70 (step @p440 :rule eq_resolve :premises (@p544 @p439)) % 105.51/105.70 (step @p441 :rule arith_sum_ub :premises (@p440 @p433 @p413)) % 105.51/105.70 (step @p442 false :rule eq_resolve :premises (@p441 @p396)) % 105.51/105.70 (step-pop @p553 :rule scope :premises (@p442)) % 105.51/105.70 (step @p443 :rule process_scope :premises (@p553) :args (false)) % 105.51/105.70 (step @p445 :rule eq_resolve :premises (@p443 @p368)) % 105.51/105.70 (step @p446 :rule eq_resolve :premises (@p445 @p357)) % 105.51/105.70 (step @p447 :rule arith-elim-lt :args (@t89 0)) % 105.51/105.70 (step @p448 :rule symm :premises (@p447)) % 105.51/105.70 (step @p449 :rule eq_resolve :premises (@p543 @p448)) % 105.51/105.70 (step @p450 :rule int_tight_ub :premises (@p449)) % 105.51/105.70 (step @p451 false :rule contra :premises (@p450 @p446)) % 105.51/105.70 (step-pop @p554 :rule scope :premises (@p451)) % 105.51/105.70 (step-pop @p555 :rule scope :premises (@p554)) % 105.51/105.70 (step-pop @p556 :rule scope :premises (@p555)) % 105.51/105.70 (step @p452 :rule process_scope :premises (@p556) :args (false)) % 105.51/105.70 (assume-push @p557 @t122) % 105.51/105.70 (assume-push @p558 @t91) % 105.51/105.70 (assume-push @p559 @t62) % 105.51/105.70 (step @p459 :rule and_intro :premises (@p559 @p24 @p558)) % 105.51/105.70 (step-pop @p560 :rule scope :premises (@p459)) % 105.51/105.70 (step-pop @p561 :rule scope :premises (@p560)) % 105.51/105.70 (step-pop @p562 :rule scope :premises (@p561)) % 105.51/105.70 (step @p460 :rule process_scope :premises (@p562) :args (@t143)) % 105.51/105.70 (step @p464 :rule implies_elim :premises (@p460)) % 105.51/105.70 (step @p465 :rule resolution :premises (@p464 @p452) :args (true @t143)) % 105.51/105.70 (step @p466 :rule not_and :premises (@p465)) % 105.51/105.70 (step @p467 :rule eq_resolve :premises (@p466 @p349)) % 105.51/105.70 (step @p468 false :rule chain_m_resolution :premises (@p467 @p345 @p141 @p24) :args (false (@list true false true) (@list @t90 @t62 @t19))) % 105.51/105.70 ) % 105.51/105.70 % SZS output end Proof % 105.51/105.70 % cvc5 exiting %------------------------------------------------------------------------------