%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI598_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 : n014.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 08:07:57 AM UTC 2026 % Result : Theorem 105.47s 105.73s % Output : Proof 105.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI598_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:30:13 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 105.47/105.73 --- Run --finite-model-find --decision=internal at 45... % 105.47/105.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 105.47/105.73 --- Run --no-e-matching --full-saturate-quant at 45... % 105.47/105.73 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 105.47/105.73 % SZS status Theorem % 105.47/105.73 % SZS output start Proof % 105.47/105.73 ( % 105.47/105.73 (declare-const tptp.a Int) % 105.47/105.73 (declare-const tptp.p (-> Int Bool)) % 105.47/105.73 (define @t1 () (@var "X" Int)) % 105.47/105.73 (define @t2 () (tptp.p (* 2 @t1))) % 105.47/105.73 (define @t3 () (@list @t1)) % 105.47/105.73 (define @t4 () (exists @t3 @t2)) % 105.47/105.73 (define @t5 () (* 3 tptp.a)) % 105.47/105.73 (define @t6 () (+ @t5 1)) % 105.47/105.73 (define @t7 () (tptp.p @t6)) % 105.47/105.73 (define @t8 () (tptp.p tptp.a)) % 105.47/105.73 (define @t9 () (and @t8 @t7)) % 105.47/105.73 (define @t10 () (=> @t9 @t4)) % 105.47/105.73 (define @t11 () (not @t10)) % 105.47/105.73 (define @t12 () (div_total tptp.a 2)) % 105.47/105.73 (define @t13 () (@purify @t12)) % 105.47/105.73 (define @t14 () (* -2 @t13)) % 105.47/105.73 (define @t15 () (+ tptp.a @t14)) % 105.47/105.73 (define @t16 () (* 2 @t13)) % 105.47/105.73 (define @t17 () (+ 2 @t16)) % 105.47/105.73 (define @t18 () (>= @t15 2)) % 105.47/105.73 (define @t19 () (+ 1 @t13)) % 105.47/105.73 (define @t20 () (+ @t13 1)) % 105.47/105.73 (define @t21 () (* 2 @t20)) % 105.47/105.73 (define @t22 () (>= tptp.a @t21)) % 105.47/105.73 (define @t23 () (* 1 (- @t15 0))) % 105.47/105.73 (define @t24 () (* 1 (- tptp.a @t16))) % 105.47/105.73 (define @t25 () (>= @t15 0)) % 105.47/105.73 (define @t26 () (+ 1 @t5)) % 105.47/105.73 (define @t27 () (div_total @t26 2)) % 105.47/105.73 (define @t28 () (@purify @t27)) % 105.47/105.73 (define @t29 () (* -2 @t28)) % 105.47/105.73 (define @t30 () (+ @t5 @t29)) % 105.47/105.73 (define @t31 () (* 2 @t28)) % 105.47/105.73 (define @t32 () (+ 2 @t31)) % 105.47/105.73 (define @t33 () (>= @t30 1)) % 105.47/105.73 (define @t34 () (+ 1 @t28)) % 105.47/105.73 (define @t35 () (+ @t28 1)) % 105.47/105.73 (define @t36 () (* 2 @t35)) % 105.47/105.73 (define @t37 () (>= @t26 @t36)) % 105.47/105.73 (define @t38 () (- @t30 -1)) % 105.47/105.73 (define @t39 () (>= @t30 -1)) % 105.47/105.73 (define @t40 () (forall @t3 (not @t2))) % 105.47/105.73 (define @t41 () (* 2 @t12)) % 105.47/105.73 (define @t42 () (tptp.p @t41)) % 105.47/105.73 (define @t43 () (not @t42)) % 105.47/105.73 (define @t44 () (tptp.p @t16)) % 105.47/105.73 (define @t45 () (not @t44)) % 105.47/105.73 (define @t46 () (@list false)) % 105.47/105.73 (define @t47 () (@list @t40)) % 105.47/105.73 (define @t48 () (= tptp.a @t16)) % 105.47/105.73 (define @t49 () (not @t48)) % 105.47/105.73 (define @t50 () (not @t8)) % 105.47/105.73 (define @t51 () (= false true)) % 105.47/105.73 (define @t52 () (and @t8 @t48 @t45)) % 105.47/105.73 (define @t53 () (@list false true)) % 105.47/105.73 (define @t54 () (>= @t15 1)) % 105.47/105.73 (define @t55 () (not @t25)) % 105.47/105.73 (define @t56 () (= @t15 0)) % 105.47/105.73 (define @t57 () (and @t25 @t49)) % 105.47/105.73 (define @t58 () (* 2 @t27)) % 105.47/105.73 (define @t59 () (tptp.p @t58)) % 105.47/105.73 (define @t60 () (not @t59)) % 105.47/105.73 (define @t61 () (tptp.p @t31)) % 105.47/105.73 (define @t62 () (not @t61)) % 105.47/105.73 (define @t63 () (= @t31 @t26)) % 105.47/105.73 (define @t64 () (not @t63)) % 105.47/105.73 (define @t65 () (tptp.p @t26)) % 105.47/105.73 (define @t66 () (not @t65)) % 105.47/105.73 (define @t67 () (= @t26 @t31)) % 105.47/105.73 (define @t68 () (and @t65 @t67 @t62)) % 105.47/105.73 (define @t69 () (>= @t30 0)) % 105.47/105.73 (define @t70 () (not @t39)) % 105.47/105.73 (define @t71 () (= @t30 -1)) % 105.47/105.73 (define @t72 () (and @t39 @t64)) % 105.47/105.73 (define @t73 () (not @t69)) % 105.47/105.73 (define @t74 () (not @t54)) % 105.47/105.73 (define @t75 () (not @t33)) % 105.47/105.73 (define @t76 () (not @t18)) % 105.47/105.73 (define @t77 () (+ (* 3 @t13) (* -1 @t28))) % 105.47/105.73 (define @t78 () (* 6 @t13)) % 105.47/105.73 (define @t79 () (+ 3 @t78 @t29)) % 105.47/105.73 (define @t80 () (+ 3 @t78)) % 105.47/105.73 (define @t81 () (+ 1 @t16)) % 105.47/105.73 (define @t82 () (* -1 (+ -1 @t14))) % 105.47/105.73 (define @t83 () (* 3 @t82)) % 105.47/105.73 (define @t84 () (+ @t83 @t29)) % 105.47/105.73 (define @t85 () (>= @t84 1)) % 105.47/105.73 (define @t86 () (+ 1 1)) % 105.47/105.73 (define @t87 () (>= @t15 @t86)) % 105.47/105.73 (define @t88 () (not (> @t15 1))) % 105.47/105.73 (define @t89 () (to_int -3/2)) % 105.47/105.73 (define @t90 () (to_real @t77)) % 105.47/105.73 (define @t91 () (and @t76 @t54 @t75 @t69)) % 105.47/105.73 (assume @p1 @t11) % 105.47/105.73 (assume @p2 true) % 105.47/105.73 (step @p3 :rule arith_poly_norm :args ((= (* -2 (- tptp.a @t17)) (* -2 (- @t15 2))))) % 105.47/105.73 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= tptp.a @t17) @t18))) % 105.47/105.73 (step @p5 :rule arith_poly_norm :args ((= (* 2 @t19) @t17))) % 105.47/105.73 (step @p6 :rule arith_poly_norm :args ((= @t20 @t19))) % 105.47/105.73 (step @p7 :rule refl :args (2)) % 105.47/105.73 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t21)) % 105.47/105.73 (step @p9 :rule trans :premises (@p8 @p5)) % 105.47/105.73 (step @p10 :rule refl :args (tptp.a)) % 105.47/105.73 (step @p11 :rule cong :premises (@p10 @p9) :args (@t22)) % 105.47/105.73 (step @p12 :rule trans :premises (@p11 @p4)) % 105.47/105.73 (step @p13 :rule cong :premises (@p12) :args ((not @t22))) % 105.47/105.73 (step @p14 :rule arith-elim-lt :args (tptp.a @t21)) % 105.47/105.73 (step @p15 :rule trans :premises (@p14 @p13)) % 105.47/105.73 (step @p16 :rule arith_poly_norm :args ((= @t24 @t23))) % 105.47/105.73 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= (>= tptp.a @t16) @t25))) % 105.47/105.73 (step @p18 :rule arith-elim-leq :args (@t16 tptp.a)) % 105.47/105.73 (step @p19 :rule trans :premises (@p18 @p17)) % 105.47/105.73 (step @p20 :rule nary_cong :premises (@p19 @p15) :args ((and (<= @t16 tptp.a) (< tptp.a @t21)))) % 105.47/105.73 (step @p21 :rule arith_reduction :args (@t12)) % 105.47/105.73 (step @p22 :rule and_elim :premises (@p21) :args (1)) % 105.47/105.73 (step @p23 :rule eq_resolve :premises (@p22 @p20)) % 105.47/105.73 (step @p24 :rule and_elim :premises (@p23) :args (1)) % 105.47/105.73 (step @p25 :rule arith_poly_norm :args ((= (* -1 (- @t26 @t32)) (* -1 (- @t30 1))))) % 105.47/105.73 (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= (>= @t26 @t32) @t33))) % 105.47/105.73 (step @p27 :rule arith_poly_norm :args ((= (* 2 @t34) @t32))) % 105.47/105.73 (step @p28 :rule arith_poly_norm :args ((= @t35 @t34))) % 105.47/105.73 (step @p29 :rule nary_cong :premises (@p7 @p28) :args (@t36)) % 105.47/105.73 (step @p30 :rule trans :premises (@p29 @p27)) % 105.47/105.73 (step @p31 :rule refl :args (@t26)) % 105.47/105.73 (step @p32 :rule cong :premises (@p31 @p30) :args (@t37)) % 105.47/105.73 (step @p33 :rule trans :premises (@p32 @p26)) % 105.47/105.73 (step @p34 :rule cong :premises (@p33) :args ((not @t37))) % 105.47/105.73 (step @p35 :rule arith-elim-lt :args (@t26 @t36)) % 105.47/105.73 (step @p36 :rule trans :premises (@p35 @p34)) % 105.47/105.73 (step @p37 :rule arith_poly_norm :args ((= (* 1 (- @t26 @t31)) (* 1 @t38)))) % 105.47/105.73 (step @p38 :rule arith_poly_norm_rel :premises (@p37) :args ((= (>= @t26 @t31) @t39))) % 105.47/105.73 (step @p39 :rule arith-elim-leq :args (@t31 @t26)) % 105.47/105.73 (step @p40 :rule trans :premises (@p39 @p38)) % 105.47/105.73 (step @p41 :rule nary_cong :premises (@p40 @p36) :args ((and (<= @t31 @t26) (< @t26 @t36)))) % 105.47/105.73 (step @p42 :rule arith_reduction :args (@t27)) % 105.47/105.73 (step @p43 :rule and_elim :premises (@p42) :args (1)) % 105.47/105.73 (step @p44 :rule eq_resolve :premises (@p43 @p41)) % 105.47/105.73 (step @p45 :rule and_elim :premises (@p44) :args (1)) % 105.47/105.73 (step @p46 :rule exists-elim :args ((= @t4 (not @t40)))) % 105.47/105.73 (step @p47 :rule arith_poly_norm :args ((= @t6 @t26))) % 105.47/105.73 (step @p48 :rule cong :premises (@p47) :args (@t7)) % 105.47/105.73 (step @p49 :rule refl :args (@t8)) % 105.47/105.73 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t9)) % 105.47/105.73 (step @p51 :rule cong :premises (@p50 @p46) :args (@t10)) % 105.47/105.73 (step @p52 :rule cong :premises (@p51) :args (@t11)) % 105.47/105.73 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 105.47/105.73 (step @p54 :rule not_implies_elim2 :premises (@p53)) % 105.47/105.73 (step @p55 :rule not_not_elim :premises (@p54)) % 105.47/105.73 (step @p56 :rule and_elim :premises (@p21) :args (0)) % 105.47/105.73 (step @p57 :rule nary_cong :premises (@p7 @p56) :args (@t41)) % 105.47/105.73 (step @p58 :rule cong :premises (@p57) :args (@t42)) % 105.47/105.73 (step @p59 :rule cong :premises (@p58) :args (@t43)) % 105.47/105.73 (step @p60 :rule refl :args (@t40)) % 105.47/105.73 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t40 @t43))) % 105.47/105.73 (assume-push @p305 @t40) % 105.47/105.73 (step @p63 :rule instantiate :premises (@p55) :args ((@list @t12))) % 105.47/105.73 (step-pop @p306 :rule scope :premises (@p63)) % 105.47/105.73 (step @p64 :rule process_scope :premises (@p306) :args (@t43)) % 105.47/105.73 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 105.47/105.73 (step @p67 :rule implies_elim :premises (@p66)) % 105.47/105.73 (step @p68 :rule chain_m_resolution :premises (@p67 @p55) :args (@t45 @t46 @t47)) % 105.47/105.73 (step @p69 :rule not_implies_elim1 :premises (@p53)) % 105.47/105.73 (step @p70 :rule and_elim :premises (@p69) :args (0)) % 105.47/105.73 (step @p71 :rule refl :args (@t49)) % 105.47/105.73 (step @p72 :rule bool-double-not-elim :args (@t44)) % 105.47/105.73 (step @p73 :rule refl :args (@t50)) % 105.47/105.73 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args ((or @t50 (not @t45) @t49))) % 105.47/105.73 (assume-push @p307 @t8) % 105.47/105.73 (assume-push @p308 @t48) % 105.47/105.73 (assume-push @p309 @t45) % 105.47/105.73 (step @p78 :rule evaluate :args (@t51)) % 105.47/105.73 (step @p79 :rule true_intro :premises (@p70)) % 105.47/105.73 (step @p80 :rule symm :premises (@p308)) % 105.47/105.73 (step @p81 :rule cong :premises (@p80) :args (@t44)) % 105.47/105.73 (step @p82 :rule false_intro :premises (@p68)) % 105.47/105.73 (step @p83 :rule symm :premises (@p82)) % 105.47/105.73 (step @p84 :rule trans :premises (@p83 @p81 @p79)) % 105.47/105.73 (step @p85 false :rule eq_resolve :premises (@p84 @p78)) % 105.47/105.73 (step-pop @p310 :rule scope :premises (@p85)) % 105.47/105.73 (step-pop @p311 :rule scope :premises (@p310)) % 105.47/105.73 (step-pop @p312 :rule scope :premises (@p311)) % 105.47/105.73 (step @p86 :rule process_scope :premises (@p312) :args (false)) % 105.47/105.73 (assume-push @p313 @t8) % 105.47/105.73 (assume-push @p314 @t45) % 105.47/105.73 (assume-push @p315 @t48) % 105.47/105.73 (step @p93 :rule and_intro :premises (@p70 @p315 @p68)) % 105.47/105.73 (step-pop @p316 :rule scope :premises (@p93)) % 105.47/105.73 (step-pop @p317 :rule scope :premises (@p316)) % 105.47/105.73 (step-pop @p318 :rule scope :premises (@p317)) % 105.47/105.73 (step @p94 :rule process_scope :premises (@p318) :args (@t52)) % 105.47/105.73 (step @p98 :rule implies_elim :premises (@p94)) % 105.47/105.73 (step @p99 :rule resolution :premises (@p98 @p86) :args (true @t52)) % 105.47/105.73 (step @p100 :rule not_and :premises (@p99)) % 105.47/105.73 (step @p101 :rule eq_resolve :premises (@p100 @p74)) % 105.47/105.73 (step @p102 :rule chain_m_resolution :premises (@p101 @p70 @p68) :args (@t49 @t53 (@list @t8 @t44))) % 105.47/105.73 (step @p103 :rule and_elim :premises (@p23) :args (0)) % 105.47/105.73 (step @p104 :rule refl :args (@t54)) % 105.47/105.73 (step @p105 :rule bool-double-not-elim :args (@t48)) % 105.47/105.73 (step @p106 :rule refl :args (@t55)) % 105.47/105.73 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args ((or @t55 (not @t49) @t54))) % 105.47/105.73 (assume-push @p319 @t25) % 105.47/105.73 (assume-push @p320 @t49) % 105.47/105.73 (assume-push @p321 @t25) % 105.47/105.73 (assume-push @p322 @t49) % 105.47/105.73 (step @p112 :rule arith_poly_norm :args ((= @t23 @t24))) % 105.47/105.73 (step @p113 :rule arith_poly_norm_rel :premises (@p112) :args ((= @t56 @t48))) % 105.47/105.73 (step @p114 :rule cong :premises (@p113) :args ((not @t56))) % 105.47/105.73 (step @p115 :rule symm :premises (@p114)) % 105.47/105.73 (step @p116 :rule eq_resolve :premises (@p320 @p115)) % 105.47/105.73 (step @p117 :rule arith_trichotomy :premises (@p103 @p116)) % 105.47/105.73 (step @p118 :rule int_tight_lb :premises (@p117)) % 105.47/105.73 (step-pop @p323 :rule scope :premises (@p118)) % 105.47/105.73 (step-pop @p324 :rule scope :premises (@p323)) % 105.47/105.73 (step @p119 :rule process_scope :premises (@p324) :args (@t54)) % 105.47/105.73 (step @p122 :rule and_intro :premises (@p103 @p320)) % 105.47/105.73 (step @p123 :rule modus_ponens :premises (@p122 @p119)) % 105.47/105.73 (step-pop @p325 :rule scope :premises (@p123)) % 105.47/105.73 (step-pop @p326 :rule scope :premises (@p325)) % 105.47/105.73 (step @p124 :rule process_scope :premises (@p326) :args (@t54)) % 105.47/105.73 (step @p127 :rule implies_elim :premises (@p124)) % 105.47/105.73 (step @p128 :rule cnf_and_neg :args (@t57)) % 105.47/105.73 (step @p129 :rule resolution :premises (@p128 @p127) :args (true @t57)) % 105.47/105.73 (step @p130 :rule eq_resolve :premises (@p129 @p107)) % 105.47/105.73 (step @p131 :rule chain_m_resolution :premises (@p130 @p103 @p102) :args (@t54 @t53 (@list @t25 @t48))) % 105.47/105.73 (step @p132 :rule and_elim :premises (@p42) :args (0)) % 105.47/105.73 (step @p133 :rule nary_cong :premises (@p7 @p132) :args (@t58)) % 105.47/105.73 (step @p134 :rule cong :premises (@p133) :args (@t59)) % 105.47/105.73 (step @p135 :rule cong :premises (@p134) :args (@t60)) % 105.47/105.73 (step @p136 :rule cong :premises (@p60 @p135) :args ((=> @t40 @t60))) % 105.47/105.73 (assume-push @p327 @t40) % 105.47/105.73 (step @p138 :rule instantiate :premises (@p55) :args ((@list @t27))) % 105.47/105.73 (step-pop @p328 :rule scope :premises (@p138)) % 105.47/105.73 (step @p139 :rule process_scope :premises (@p328) :args (@t60)) % 105.47/105.73 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 105.47/105.73 (step @p142 :rule implies_elim :premises (@p141)) % 105.47/105.73 (step @p143 :rule chain_m_resolution :premises (@p142 @p55) :args (@t62 @t46 @t47)) % 105.47/105.73 (step @p144 :rule and_elim :premises (@p69) :args (1)) % 105.47/105.73 (step @p145 :rule refl :args (@t64)) % 105.47/105.73 (step @p146 :rule bool-double-not-elim :args (@t61)) % 105.47/105.73 (step @p147 :rule refl :args (@t66)) % 105.47/105.73 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args ((or @t66 (not @t62) @t64))) % 105.47/105.73 (assume-push @p329 @t65) % 105.47/105.73 (assume-push @p330 @t67) % 105.47/105.73 (assume-push @p331 @t62) % 105.47/105.73 (step @p78 :rule evaluate :args (@t51)) % 105.47/105.73 (step @p152 :rule true_intro :premises (@p144)) % 105.47/105.73 (step @p153 :rule symm :premises (@p330)) % 105.47/105.73 (step @p154 :rule cong :premises (@p153) :args (@t61)) % 105.47/105.73 (step @p155 :rule false_intro :premises (@p143)) % 105.47/105.73 (step @p156 :rule symm :premises (@p155)) % 105.47/105.73 (step @p157 :rule trans :premises (@p156 @p154 @p152)) % 105.47/105.73 (step @p158 false :rule eq_resolve :premises (@p157 @p78)) % 105.47/105.73 (step-pop @p332 :rule scope :premises (@p158)) % 105.47/105.73 (step-pop @p333 :rule scope :premises (@p332)) % 105.47/105.73 (step-pop @p334 :rule scope :premises (@p333)) % 105.47/105.73 (step @p159 :rule process_scope :premises (@p334) :args (false)) % 105.47/105.73 (assume-push @p335 @t65) % 105.47/105.73 (assume-push @p336 @t62) % 105.47/105.73 (assume-push @p337 @t63) % 105.47/105.73 (assume-push @p338 @t63) % 105.47/105.73 (step @p167 :rule symm :premises (@p337)) % 105.47/105.73 (step-pop @p339 :rule scope :premises (@p167)) % 105.47/105.73 (step @p168 :rule process_scope :premises (@p339) :args (@t67)) % 105.47/105.73 (step @p170 :rule modus_ponens :premises (@p337 @p168)) % 105.47/105.73 (step @p171 :rule and_intro :premises (@p144 @p170 @p143)) % 105.47/105.73 (step-pop @p340 :rule scope :premises (@p171)) % 105.47/105.73 (step-pop @p341 :rule scope :premises (@p340)) % 105.47/105.73 (step-pop @p342 :rule scope :premises (@p341)) % 105.47/105.73 (step @p172 :rule process_scope :premises (@p342) :args (@t68)) % 105.47/105.73 (step @p176 :rule implies_elim :premises (@p172)) % 105.47/105.73 (step @p177 :rule resolution :premises (@p176 @p159) :args (true @t68)) % 105.47/105.73 (step @p178 :rule not_and :premises (@p177)) % 105.47/105.73 (step @p179 :rule eq_resolve :premises (@p178 @p148)) % 105.47/105.73 (step @p180 :rule chain_m_resolution :premises (@p179 @p144 @p143) :args (@t64 @t53 (@list @t65 @t61))) % 105.47/105.73 (step @p181 :rule and_elim :premises (@p44) :args (0)) % 105.47/105.73 (step @p182 :rule refl :args (@t69)) % 105.47/105.73 (step @p183 :rule bool-double-not-elim :args (@t63)) % 105.47/105.73 (step @p184 :rule refl :args (@t70)) % 105.47/105.73 (step @p185 :rule nary_cong :premises (@p184 @p183 @p182) :args ((or @t70 (not @t64) @t69))) % 105.47/105.73 (assume-push @p343 @t39) % 105.47/105.73 (assume-push @p344 @t64) % 105.47/105.73 (assume-push @p345 @t39) % 105.47/105.73 (assume-push @p346 @t64) % 105.47/105.73 (step @p190 :rule arith_poly_norm :args ((= (* -1 @t38) (* 1 (- @t31 @t26))))) % 105.47/105.73 (step @p191 :rule arith_poly_norm_rel :premises (@p190) :args ((= @t71 @t63))) % 105.47/105.73 (step @p192 :rule cong :premises (@p191) :args ((not @t71))) % 105.47/105.73 (step @p193 :rule symm :premises (@p192)) % 105.47/105.73 (step @p194 :rule eq_resolve :premises (@p344 @p193)) % 105.47/105.73 (step @p195 :rule arith_trichotomy :premises (@p181 @p194)) % 105.47/105.73 (step @p196 :rule int_tight_lb :premises (@p195)) % 105.47/105.73 (step-pop @p347 :rule scope :premises (@p196)) % 105.47/105.73 (step-pop @p348 :rule scope :premises (@p347)) % 105.47/105.73 (step @p197 :rule process_scope :premises (@p348) :args (@t69)) % 105.47/105.73 (step @p200 :rule and_intro :premises (@p181 @p344)) % 105.47/105.73 (step @p201 :rule modus_ponens :premises (@p200 @p197)) % 105.47/105.73 (step-pop @p349 :rule scope :premises (@p201)) % 105.47/105.73 (step-pop @p350 :rule scope :premises (@p349)) % 105.47/105.73 (step @p202 :rule process_scope :premises (@p350) :args (@t69)) % 105.47/105.73 (step @p205 :rule implies_elim :premises (@p202)) % 105.47/105.73 (step @p206 :rule cnf_and_neg :args (@t72)) % 105.47/105.73 (step @p207 :rule resolution :premises (@p206 @p205) :args (true @t72)) % 105.47/105.73 (step @p208 :rule eq_resolve :premises (@p207 @p185)) % 105.47/105.73 (step @p209 :rule chain_m_resolution :premises (@p208 @p181 @p180) :args (@t69 @t53 (@list @t39 @t63))) % 105.47/105.73 (step @p210 :rule refl :args (@t73)) % 105.47/105.73 (step @p211 :rule refl :args (@t74)) % 105.47/105.73 (step @p212 :rule bool-double-not-elim :args (@t33)) % 105.47/105.73 (step @p213 :rule bool-double-not-elim :args (@t18)) % 105.47/105.73 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211 @p210) :args ((or (not @t76) (not @t75) @t74 @t73))) % 105.47/105.73 (assume-push @p351 @t76) % 105.47/105.73 (assume-push @p352 @t54) % 105.47/105.73 (assume-push @p353 @t75) % 105.47/105.73 (assume-push @p354 @t69) % 105.47/105.73 (step @p219 :rule arith_poly_norm :args ((= (* 1 (- @t79 1)) (* 2 (- @t77 -1))))) % 105.47/105.73 (step @p220 :rule arith_poly_norm_rel :premises (@p219) :args ((= (>= @t79 1) (>= @t77 -1)))) % 105.47/105.73 (step @p221 :rule refl :args (1)) % 105.47/105.73 (step @p222 :rule arith_poly_norm :args ((= (+ @t80 @t29) @t79))) % 105.47/105.73 (step @p223 :rule refl :args (@t29)) % 105.47/105.73 (step @p224 :rule arith_poly_norm :args ((= (* 3 @t81) @t80))) % 105.47/105.73 (step @p225 :rule arith_poly_norm :args ((= @t82 @t81))) % 105.47/105.73 (step @p226 :rule refl :args (3)) % 105.47/105.73 (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t83)) % 105.47/105.73 (step @p228 :rule trans :premises (@p227 @p224)) % 105.47/105.73 (step @p229 :rule nary_cong :premises (@p228 @p223) :args (@t84)) % 105.47/105.73 (step @p230 :rule trans :premises (@p229 @p222)) % 105.47/105.73 (step @p231 :rule cong :premises (@p230 @p221) :args (@t85)) % 105.47/105.73 (step @p232 :rule trans :premises (@p231 @p220)) % 105.47/105.73 (step @p233 :rule cong :premises (@p232) :args ((not @t85))) % 105.47/105.73 (step @p234 :rule cong :premises (@p10 @p225) :args ((= tptp.a @t82))) % 105.47/105.73 (step @p235 :rule symm :premises (@p234)) % 105.47/105.73 (step @p236 :rule arith_poly_norm :args ((= (* -1 (- @t15 1)) (* -1 (- tptp.a @t81))))) % 105.47/105.73 (step @p237 :rule arith_poly_norm_rel :premises (@p236) :args ((= (= @t15 1) (= tptp.a @t81)))) % 105.47/105.73 (step @p238 :rule trans :premises (@p237 @p235)) % 105.47/105.73 (step @p239 :rule eq-refl :args (@t76)) % 105.47/105.73 (step @p240 :rule evaluate :args (@t86)) % 105.47/105.73 (step @p241 :rule refl :args (@t15)) % 105.47/105.73 (step @p242 :rule cong :premises (@p241 @p240) :args (@t87)) % 105.47/105.73 (step @p243 :rule cong :premises (@p242) :args ((not @t87))) % 105.47/105.73 (step @p244 :rule arith-leq-norm :args (@t15 1)) % 105.47/105.73 (step @p245 :rule trans :premises (@p244 @p243)) % 105.47/105.73 (step @p246 :rule cong :premises (@p245) :args ((not (<= @t15 1)))) % 105.47/105.73 (step @p247 :rule trans :premises (@p246 @p213)) % 105.47/105.73 (step @p248 :rule arith-elim-leq :args (@t15 1)) % 105.47/105.73 (step @p249 :rule symm :premises (@p248)) % 105.47/105.73 (step @p250 :rule cong :premises (@p249) :args ((not (>= 1 @t15)))) % 105.47/105.73 (step @p251 :rule arith-elim-gt :args (@t15 1)) % 105.47/105.73 (step @p252 :rule trans :premises (@p251 @p250)) % 105.47/105.73 (step @p253 :rule trans :premises (@p252 @p247)) % 105.47/105.73 (step @p254 :rule cong :premises (@p253) :args (@t88)) % 105.47/105.73 (step @p255 :rule refl :args (@t76)) % 105.47/105.73 (step @p256 :rule cong :premises (@p255 @p254) :args ((= @t76 @t88))) % 105.47/105.73 (step @p257 :rule trans :premises (@p256 @p239)) % 105.47/105.73 (step @p258 :rule true_elim :premises (@p257)) % 105.47/105.73 (step @p259 :rule eq_resolve :premises (@p24 @p258)) % 105.47/105.73 (step @p260 :rule arith_trichotomy :premises (@p352 @p259)) % 105.47/105.73 (step @p261 :rule eq_resolve :premises (@p260 @p238)) % 105.47/105.73 (step @p262 :rule nary_cong :premises (@p226 @p261) :args (@t5)) % 105.47/105.73 (step @p263 :rule nary_cong :premises (@p262 @p223) :args (@t30)) % 105.47/105.73 (step @p264 :rule cong :premises (@p263 @p221) :args (@t33)) % 105.47/105.73 (step @p265 :rule cong :premises (@p264) :args (@t75)) % 105.47/105.73 (step @p266 :rule eq_resolve :premises (@p45 @p265)) % 105.47/105.73 (step @p267 :rule eq_resolve :premises (@p266 @p233)) % 105.47/105.73 (step @p268 :rule evaluate :args ((+ @t89 1))) % 105.47/105.73 (step @p269 :rule symm :premises (@p268)) % 105.47/105.73 (step @p270 :rule evaluate :args ((= (to_real @t89) -3/2))) % 105.47/105.73 (step @p271 :rule arith-int-geq-tighten :premises (@p270 @p269) :args (@t77 -3/2 -1)) % 105.47/105.73 (step @p272 :rule arith_poly_norm :args ((= (* 3/2 (to_real (- @t79 0))) (* 3/1 (- @t90 -3/2))))) % 105.47/105.73 (step @p273 :rule arith_poly_norm_rel :premises (@p272) :args ((= (>= @t79 0) (>= @t90 -3/2)))) % 105.47/105.73 (step @p274 :rule trans :premises (@p273 @p271)) % 105.47/105.73 (step @p275 :rule refl :args (0)) % 105.47/105.73 (step @p276 :rule cong :premises (@p230 @p275) :args ((>= @t84 0))) % 105.47/105.73 (step @p277 :rule trans :premises (@p276 @p274)) % 105.47/105.73 (step @p278 :rule eq_resolve :premises (@p260 @p238)) % 105.47/105.73 (step @p279 :rule nary_cong :premises (@p226 @p278) :args (@t5)) % 105.47/105.73 (step @p280 :rule nary_cong :premises (@p279 @p223) :args (@t30)) % 105.47/105.73 (step @p281 :rule cong :premises (@p280 @p275) :args (@t69)) % 105.47/105.73 (step @p282 :rule eq_resolve :premises (@p354 @p281)) % 105.47/105.73 (step @p283 :rule eq_resolve :premises (@p282 @p277)) % 105.47/105.73 (step @p284 false :rule contra :premises (@p283 @p267)) % 105.47/105.73 (step-pop @p355 :rule scope :premises (@p284)) % 105.47/105.73 (step-pop @p356 :rule scope :premises (@p355)) % 105.47/105.73 (step-pop @p357 :rule scope :premises (@p356)) % 105.47/105.73 (step-pop @p358 :rule scope :premises (@p357)) % 105.47/105.73 (step @p285 :rule process_scope :premises (@p358) :args (false)) % 105.47/105.73 (assume-push @p359 @t76) % 105.47/105.73 (assume-push @p360 @t75) % 105.47/105.73 (assume-push @p361 @t54) % 105.47/105.73 (assume-push @p362 @t69) % 105.47/105.73 (step @p294 :rule and_intro :premises (@p24 @p361 @p45 @p362)) % 105.47/105.73 (step-pop @p363 :rule scope :premises (@p294)) % 105.47/105.73 (step-pop @p364 :rule scope :premises (@p363)) % 105.47/105.73 (step-pop @p365 :rule scope :premises (@p364)) % 105.47/105.73 (step-pop @p366 :rule scope :premises (@p365)) % 105.47/105.73 (step @p295 :rule process_scope :premises (@p366) :args (@t91)) % 105.47/105.73 (step @p300 :rule implies_elim :premises (@p295)) % 105.47/105.73 (step @p301 :rule resolution :premises (@p300 @p285) :args (true @t91)) % 105.47/105.73 (step @p302 :rule not_and :premises (@p301)) % 105.47/105.73 (step @p303 :rule eq_resolve :premises (@p302 @p214)) % 105.47/105.73 (step @p304 false :rule chain_m_resolution :premises (@p303 @p209 @p131 @p45 @p24) :args (false (@list false false true true) (@list @t69 @t54 @t33 @t18))) % 105.47/105.73 ) % 105.47/105.73 % SZS output end Proof % 105.47/105.73 % cvc5 exiting %------------------------------------------------------------------------------