%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT049_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:14:25 AM UTC 2026 % Result : Theorem 45.79s 46.06s % Output : Proof 45.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT049_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 : Mon Jun 1 22:27:00 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_ARI % 45.79/46.06 --- Run --finite-model-find --decision=internal at 45... % 45.79/46.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.79/46.06 % SZS status Theorem % 45.79/46.06 % SZS output start Proof % 45.79/46.06 ( % 45.79/46.06 (declare-sort tptp.collection 0) % 45.79/46.06 (declare-const tptp.count (-> tptp.collection Int)) % 45.79/46.06 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 45.79/46.06 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 45.79/46.06 (declare-const tptp.in (-> Int tptp.collection Bool)) % 45.79/46.06 (declare-const tptp.empty tptp.collection) % 45.79/46.06 (define @t1 () (@var "U" Int)) % 45.79/46.06 (define @t2 () (@var "W" tptp.collection)) % 45.79/46.06 (define @t3 () (@var "V" Int)) % 45.79/46.06 (define @t4 () (@var "Y" tptp.collection)) % 45.79/46.06 (define @t5 () (@var "X" Int)) % 45.79/46.06 (define @t6 () (@var "X1" tptp.collection)) % 45.79/46.06 (define @t7 () (@var "X2" Int)) % 45.79/46.06 (define @t8 () (@var "Z" Int)) % 45.79/46.06 (define @t9 () (@var "X4" tptp.collection)) % 45.79/46.06 (define @t10 () (@var "X5" Int)) % 45.79/46.06 (define @t11 () (@var "X3" Int)) % 45.79/46.06 (define @t12 () (@var "X6" tptp.collection)) % 45.79/46.06 (define @t13 () (@var "X7" tptp.collection)) % 45.79/46.06 (define @t14 () (@var "X9" tptp.collection)) % 45.79/46.06 (define @t15 () (tptp.count @t14)) % 45.79/46.06 (define @t16 () (+ @t15 1)) % 45.79/46.06 (define @t17 () (@var "X8" Int)) % 45.79/46.06 (define @t18 () (tptp.count (tptp.add @t17 @t14))) % 45.79/46.06 (define @t19 () (= @t18 @t16)) % 45.79/46.06 (define @t20 () (not (tptp.in @t17 @t14))) % 45.79/46.06 (define @t21 () (= @t20 @t19)) % 45.79/46.06 (define @t22 () (forall (@list @t17 @t14) @t21)) % 45.79/46.06 (define @t23 () (@var "X11" tptp.collection)) % 45.79/46.06 (define @t24 () (@var "X10" Int)) % 45.79/46.06 (define @t25 () (@var "X13" tptp.collection)) % 45.79/46.06 (define @t26 () (tptp.count @t25)) % 45.79/46.06 (define @t27 () (- @t26 1)) % 45.79/46.06 (define @t28 () (@var "X12" Int)) % 45.79/46.06 (define @t29 () (tptp.count (tptp.remove @t28 @t25))) % 45.79/46.06 (define @t30 () (= @t29 @t27)) % 45.79/46.06 (define @t31 () (tptp.in @t28 @t25)) % 45.79/46.06 (define @t32 () (= @t31 @t30)) % 45.79/46.06 (define @t33 () (forall (@list @t28 @t25) @t32)) % 45.79/46.06 (define @t34 () (@var "X15" tptp.collection)) % 45.79/46.06 (define @t35 () (@var "X14" Int)) % 45.79/46.06 (define @t36 () (@var "X17" tptp.collection)) % 45.79/46.06 (define @t37 () (@var "X16" Int)) % 45.79/46.06 (define @t38 () (@var "U" tptp.collection)) % 45.79/46.06 (define @t39 () (forall (@list @t38 @t3) (= (tptp.count (tptp.remove @t3 (tptp.add @t3 @t38))) (tptp.count (tptp.remove @t3 @t38))))) % 45.79/46.06 (define @t40 () (* -1 1)) % 45.79/46.06 (define @t41 () (+ @t26 @t40)) % 45.79/46.06 (define @t42 () (@quantifiers_skolemize @t39 0)) % 45.79/46.06 (define @t43 () (@quantifiers_skolemize @t39 1)) % 45.79/46.06 (define @t44 () (tptp.add @t43 @t42)) % 45.79/46.06 (define @t45 () (@list @t43 @t42)) % 45.79/46.06 (define @t46 () (tptp.count @t44)) % 45.79/46.06 (define @t47 () (+ -1 @t46)) % 45.79/46.06 (define @t48 () (tptp.count (tptp.remove @t43 @t44))) % 45.79/46.06 (define @t49 () (= @t48 @t47)) % 45.79/46.06 (define @t50 () (tptp.in @t43 @t44)) % 45.79/46.06 (define @t51 () (= @t50 @t49)) % 45.79/46.06 (define @t52 () (tptp.count @t42)) % 45.79/46.06 (define @t53 () (+ 1 @t52)) % 45.79/46.06 (define @t54 () (= @t46 @t53)) % 45.79/46.06 (define @t55 () (tptp.in @t43 @t42)) % 45.79/46.06 (define @t56 () (not @t55)) % 45.79/46.06 (define @t57 () (= @t56 @t54)) % 45.79/46.06 (define @t58 () (not @t57)) % 45.79/46.06 (define @t59 () (not @t56)) % 45.79/46.06 (define @t60 () (tptp.count (tptp.remove @t43 @t42))) % 45.79/46.06 (define @t61 () (= @t60 @t52)) % 45.79/46.06 (define @t62 () (= @t56 @t61)) % 45.79/46.06 (define @t63 () (not @t62)) % 45.79/46.06 (define @t64 () (not @t61)) % 45.79/46.06 (define @t65 () (not @t49)) % 45.79/46.06 (define @t66 () (not @t54)) % 45.79/46.06 (define @t67 () (* -1 @t60)) % 45.79/46.06 (define @t68 () (+ @t48 @t67)) % 45.79/46.06 (define @t69 () (>= @t68 0)) % 45.79/46.06 (define @t70 () (not @t69)) % 45.79/46.06 (define @t71 () (not @t70)) % 45.79/46.06 (define @t72 () (* -1 @t52)) % 45.79/46.06 (define @t73 () (+ @t46 @t72)) % 45.79/46.06 (define @t74 () (= @t73 1)) % 45.79/46.06 (define @t75 () (not true)) % 45.79/46.06 (define @t76 () (>= 0 0)) % 45.79/46.06 (define @t77 () (* -1 -1)) % 45.79/46.06 (define @t78 () (+ @t40 0 @t77 0)) % 45.79/46.06 (define @t79 () (* -1 @t46)) % 45.79/46.06 (define @t80 () (= (+ @t46 0 @t79 @t67 @t60 0) 0)) % 45.79/46.06 (define @t81 () (* 0 @t48)) % 45.79/46.06 (define @t82 () (= @t81 0)) % 45.79/46.06 (define @t83 () (* 0 @t52)) % 45.79/46.06 (define @t84 () (= @t83 0)) % 45.79/46.06 (define @t85 () (+ @t46 @t83 @t79 @t67 @t60 @t81)) % 45.79/46.06 (define @t86 () (+ @t60 @t72)) % 45.79/46.06 (define @t87 () (+ @t48 @t79)) % 45.79/46.06 (define @t88 () (+ (* -1 @t73) @t68 (* -1 @t87) @t86)) % 45.79/46.06 (define @t89 () (= @t88 @t85)) % 45.79/46.06 (define @t90 () (>= @t88 @t78)) % 45.79/46.06 (define @t91 () (= (* 1 (- @t86 0)) (* 1 (- @t60 @t52)))) % 45.79/46.06 (define @t92 () (= @t86 0)) % 45.79/46.06 (define @t93 () (= @t92 @t61)) % 45.79/46.06 (define @t94 () (= @t87 -1)) % 45.79/46.06 (define @t95 () (= (* 1 (- @t87 -1)) (* 1 (- @t48 @t47)))) % 45.79/46.06 (define @t96 () (= @t94 @t49)) % 45.79/46.06 (define @t97 () (< -1 0)) % 45.79/46.06 (define @t98 () (= (* -1 (- @t73 1)) (* -1 (- @t46 @t53)))) % 45.79/46.06 (define @t99 () (= @t74 @t54)) % 45.79/46.06 (define @t100 () (and @t61 @t49 @t70 @t54)) % 45.79/46.06 (define @t101 () (= @t46 @t52)) % 45.79/46.06 (define @t102 () (= @t55 @t101)) % 45.79/46.06 (define @t103 () (+ -1 @t52)) % 45.79/46.06 (define @t104 () (= @t60 @t103)) % 45.79/46.06 (define @t105 () (= @t55 @t104)) % 45.79/46.06 (define @t106 () (not @t104)) % 45.79/46.06 (define @t107 () (not @t101)) % 45.79/46.06 (define @t108 () (= @t73 0)) % 45.79/46.06 (define @t109 () (* -1 0)) % 45.79/46.06 (define @t110 () (+ @t109 0 @t77 -1)) % 45.79/46.06 (define @t111 () (>= @t88 @t110)) % 45.79/46.06 (define @t112 () (= (* 1 (- @t86 -1)) (* 1 (- @t60 @t103)))) % 45.79/46.06 (define @t113 () (= @t86 -1)) % 45.79/46.06 (define @t114 () (= @t113 @t104)) % 45.79/46.06 (define @t115 () (= (* 1 (- @t73 0)) (* 1 (- @t46 @t52)))) % 45.79/46.06 (define @t116 () (= @t108 @t101)) % 45.79/46.06 (define @t117 () (and @t104 @t49 @t70 @t101)) % 45.79/46.06 (define @t118 () (@list false false false false false false)) % 45.79/46.06 (define @t119 () (>= @t68 1)) % 45.79/46.06 (define @t120 () (= @t48 @t60)) % 45.79/46.06 (define @t121 () (not @t119)) % 45.79/46.06 (define @t122 () (not @t120)) % 45.79/46.06 (define @t123 () (= @t68 0)) % 45.79/46.06 (define @t124 () (and @t122 @t121)) % 45.79/46.06 (define @t125 () (@list true false)) % 45.79/46.06 (define @t126 () (<= 0 -1)) % 45.79/46.06 (define @t127 () (+ 0 @t40 -1 @t77)) % 45.79/46.06 (define @t128 () (= (+ @t79 0 @t46 @t60 @t67 0) 0)) % 45.79/46.06 (define @t129 () (+ @t79 @t83 @t46 @t60 @t67 @t81)) % 45.79/46.06 (define @t130 () (+ @t73 (* -1 @t68) @t87 (* -1 @t86))) % 45.79/46.06 (define @t131 () (= @t130 @t129)) % 45.79/46.06 (define @t132 () (and @t104 @t49 @t119 @t101)) % 45.79/46.06 (define @t133 () (+ 1 @t40 -1 @t109)) % 45.79/46.06 (define @t134 () (and @t61 @t49 @t119 @t54)) % 45.79/46.06 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 45.79/46.06 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 45.79/46.06 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 45.79/46.06 (assume @p4 (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 45.79/46.06 (assume @p5 (forall (@list @t11 @t9 @t10) (= (and (tptp.in @t11 @t9) (not (= @t11 @t10))) (tptp.in @t11 (tptp.remove @t10 @t9))))) % 45.79/46.06 (assume @p6 (forall (@list @t12) (>= (tptp.count @t12) 0))) % 45.79/46.06 (assume @p7 (forall (@list @t13) (= (= @t13 tptp.empty) (= (tptp.count @t13) 0)))) % 45.79/46.06 (assume @p8 @t22) % 45.79/46.06 (assume @p9 (forall (@list @t24 @t23) (= (tptp.in @t24 @t23) (= (tptp.count (tptp.add @t24 @t23)) (tptp.count @t23))))) % 45.79/46.06 (assume @p10 @t33) % 45.79/46.06 (assume @p11 (forall (@list @t35 @t34) (= (not (tptp.in @t35 @t34)) (= (tptp.count (tptp.remove @t35 @t34)) (tptp.count @t34))))) % 45.79/46.06 (assume @p12 (forall (@list @t37 @t36) (=> (tptp.in @t37 @t36) (= @t36 (tptp.add @t37 (tptp.remove @t37 @t36)))))) % 45.79/46.06 (assume @p13 (not @t39)) % 45.79/46.06 (assume @p14 true) % 45.79/46.06 (step @p15 :rule arith_poly_norm :args ((= (+ @t26 -1) (+ -1 @t26)))) % 45.79/46.06 (step @p16 :rule evaluate :args (@t40)) % 45.79/46.06 (step @p17 :rule refl :args (@t26)) % 45.79/46.06 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t41)) % 45.79/46.06 (step @p19 :rule trans :premises (@p18 @p15)) % 45.79/46.06 (step @p20 :rule arith_poly_norm :args ((= @t27 @t41))) % 45.79/46.06 (step @p21 :rule trans :premises (@p20 @p19)) % 45.79/46.06 (step @p22 :rule refl :args (@t29)) % 45.79/46.06 (step @p23 :rule cong :premises (@p22 @p21) :args (@t30)) % 45.79/46.06 (step @p24 :rule refl :args (@t31)) % 45.79/46.06 (step @p25 :rule cong :premises (@p24 @p23) :args (@t32)) % 45.79/46.06 (step @p26 :rule cong :premises (@p25) :args (@t33)) % 45.79/46.06 (step @p27 :rule eq_resolve :premises (@p10 @p26)) % 45.79/46.06 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t43 @t44))) % 45.79/46.06 (step @p29 :rule instantiate :premises (@p2) :args (@t45)) % 45.79/46.06 (step @p30 :rule cnf_equiv_pos1 :args (@t51)) % 45.79/46.06 (step @p31 :rule reordering :premises (@p30) :args ((or @t49 (not @t50) (not @t51)))) % 45.79/46.06 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p28) :args (@t49 (@list false false) (@list @t50 @t51))) % 45.79/46.06 (step @p33 :rule arith_poly_norm :args ((= @t16 (+ 1 @t15)))) % 45.79/46.06 (step @p34 :rule refl :args (@t18)) % 45.79/46.06 (step @p35 :rule cong :premises (@p34 @p33) :args (@t19)) % 45.79/46.06 (step @p36 :rule refl :args (@t20)) % 45.79/46.06 (step @p37 :rule cong :premises (@p36 @p35) :args (@t21)) % 45.79/46.06 (step @p38 :rule cong :premises (@p37) :args (@t22)) % 45.79/46.06 (step @p39 :rule eq_resolve :premises (@p8 @p38)) % 45.79/46.06 (step @p40 :rule instantiate :premises (@p39) :args (@t45)) % 45.79/46.06 (step @p41 :rule refl :args (@t54)) % 45.79/46.06 (step @p42 :rule bool-double-not-elim :args (@t55)) % 45.79/46.06 (step @p43 :rule refl :args (@t58)) % 45.79/46.06 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args ((or @t58 @t59 @t54))) % 45.79/46.06 (step @p45 :rule cnf_equiv_pos1 :args (@t57)) % 45.79/46.06 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 45.79/46.06 (step @p47 :rule reordering :premises (@p46) :args ((or @t55 @t54 @t58))) % 45.79/46.06 (step @p48 :rule instantiate :premises (@p11) :args (@t45)) % 45.79/46.06 (step @p49 :rule refl :args (@t61)) % 45.79/46.06 (step @p50 :rule refl :args (@t63)) % 45.79/46.06 (step @p51 :rule nary_cong :premises (@p50 @p42 @p49) :args ((or @t63 @t59 @t61))) % 45.79/46.06 (step @p52 :rule cnf_equiv_pos1 :args (@t62)) % 45.79/46.06 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 45.79/46.06 (step @p54 :rule reordering :premises (@p53) :args ((or @t55 @t61 @t63))) % 45.79/46.06 (step @p55 :rule refl :args (@t64)) % 45.79/46.06 (step @p56 :rule refl :args (@t65)) % 45.79/46.06 (step @p57 :rule refl :args (@t66)) % 45.79/46.06 (step @p58 :rule bool-double-not-elim :args (@t69)) % 45.79/46.06 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p55) :args ((or @t71 @t66 @t65 @t64))) % 45.79/46.06 (assume-push @p324 @t61) % 45.79/46.06 (assume-push @p325 @t49) % 45.79/46.06 (assume-push @p326 @t70) % 45.79/46.06 (assume-push @p327 @t54) % 45.79/46.06 (assume-push @p328 @t74) % 45.79/46.06 (step @p65 :rule evaluate :args (@t75)) % 45.79/46.06 (step @p66 :rule evaluate :args (@t76)) % 45.79/46.06 (step @p67 :rule evaluate :args ((+ -1 0 1 0))) % 45.79/46.06 (step @p68 :rule refl :args (0)) % 45.79/46.06 (step @p69 :rule evaluate :args (@t77)) % 45.79/46.06 (step @p70 :rule nary_cong :premises (@p16 @p68 @p69 @p68) :args (@t78)) % 45.79/46.06 (step @p71 :rule trans :premises (@p70 @p67)) % 45.79/46.06 (step @p72 :rule arith_poly_norm :args (@t80)) % 45.79/46.06 (step @p73 :rule arith_poly_norm :args (@t82)) % 45.79/46.06 (step @p74 :rule refl :args (@t60)) % 45.79/46.06 (step @p75 :rule refl :args (@t67)) % 45.79/46.06 (step @p76 :rule refl :args (@t79)) % 45.79/46.06 (step @p77 :rule arith_poly_norm :args (@t84)) % 45.79/46.06 (step @p78 :rule refl :args (@t46)) % 45.79/46.06 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76 @p75 @p74 @p73) :args (@t85)) % 45.79/46.06 (step @p80 :rule trans :premises (@p79 @p72)) % 45.79/46.06 (step @p81 :rule arith_poly_norm :args (@t89)) % 45.79/46.06 (step @p82 :rule trans :premises (@p81 @p80)) % 45.79/46.06 (step @p83 :rule cong :premises (@p82 @p71) :args (@t90)) % 45.79/46.06 (step @p84 :rule trans :premises (@p83 @p66)) % 45.79/46.06 (step @p85 :rule cong :premises (@p84) :args ((not @t90))) % 45.79/46.06 (step @p86 :rule trans :premises (@p85 @p65)) % 45.79/46.06 (step @p87 :rule arith-elim-lt :args (@t88 @t78)) % 45.79/46.06 (step @p88 :rule trans :premises (@p87 @p86)) % 45.79/46.06 (step @p89 :rule arith_poly_norm :args (@t91)) % 45.79/46.06 (step @p90 :rule arith_poly_norm_rel :premises (@p89) :args (@t93)) % 45.79/46.06 (step @p91 :rule symm :premises (@p90)) % 45.79/46.06 (step @p92 :rule eq_resolve :premises (@p324 @p91)) % 45.79/46.06 (step @p93 :rule arith_mult_neg :args (-1 @t94)) % 45.79/46.06 (step @p94 :rule arith_poly_norm :args (@t95)) % 45.79/46.06 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args (@t96)) % 45.79/46.06 (step @p96 :rule symm :premises (@p95)) % 45.79/46.06 (step @p97 :rule eq_resolve :premises (@p32 @p96)) % 45.79/46.06 (step @p98 :rule evaluate :args (@t97)) % 45.79/46.06 (step @p99 :rule true_elim :premises (@p98)) % 45.79/46.06 (step @p100 :rule and_intro :premises (@p99 @p97)) % 45.79/46.06 (step @p101 :rule modus_ponens :premises (@p100 @p93)) % 45.79/46.06 (step @p102 :rule arith-elim-lt :args (@t68 0)) % 45.79/46.06 (step @p103 :rule symm :premises (@p102)) % 45.79/46.06 (step @p104 :rule eq_resolve :premises (@p326 @p103)) % 45.79/46.06 (step @p105 :rule arith_mult_neg :args (-1 @t74)) % 45.79/46.06 (step @p106 :rule and_intro :premises (@p99 @p328)) % 45.79/46.06 (step @p107 :rule modus_ponens :premises (@p106 @p105)) % 45.79/46.06 (step @p108 :rule arith_sum_ub :premises (@p107 @p104 @p101 @p92)) % 45.79/46.06 (step @p109 false :rule eq_resolve :premises (@p108 @p88)) % 45.79/46.06 (step-pop @p329 :rule scope :premises (@p109)) % 45.79/46.06 (step @p110 :rule process_scope :premises (@p329) :args (false)) % 45.79/46.06 (step @p112 :rule arith_poly_norm :args (@t98)) % 45.79/46.06 (step @p113 :rule arith_poly_norm_rel :premises (@p112) :args (@t99)) % 45.79/46.06 (step @p114 :rule symm :premises (@p113)) % 45.79/46.06 (step @p115 :rule eq_resolve :premises (@p327 @p114)) % 45.79/46.06 (step @p116 false :rule contra :premises (@p115 @p110)) % 45.79/46.06 (step-pop @p330 :rule scope :premises (@p116)) % 45.79/46.06 (step-pop @p331 :rule scope :premises (@p330)) % 45.79/46.06 (step-pop @p332 :rule scope :premises (@p331)) % 45.79/46.06 (step-pop @p333 :rule scope :premises (@p332)) % 45.79/46.06 (step @p117 :rule process_scope :premises (@p333) :args (false)) % 45.79/46.06 (assume-push @p334 @t70) % 45.79/46.06 (assume-push @p335 @t54) % 45.79/46.06 (assume-push @p336 @t49) % 45.79/46.06 (assume-push @p337 @t61) % 45.79/46.06 (step @p126 :rule and_intro :premises (@p337 @p32 @p334 @p335)) % 45.79/46.06 (step-pop @p338 :rule scope :premises (@p126)) % 45.79/46.06 (step-pop @p339 :rule scope :premises (@p338)) % 45.79/46.06 (step-pop @p340 :rule scope :premises (@p339)) % 45.79/46.06 (step-pop @p341 :rule scope :premises (@p340)) % 45.79/46.06 (step @p127 :rule process_scope :premises (@p341) :args (@t100)) % 45.79/46.06 (step @p132 :rule implies_elim :premises (@p127)) % 45.79/46.06 (step @p133 :rule resolution :premises (@p132 @p117) :args (true @t100)) % 45.79/46.06 (step @p134 :rule not_and :premises (@p133)) % 45.79/46.06 (step @p135 :rule eq_resolve :premises (@p134 @p59)) % 45.79/46.06 (step @p136 :rule chain_m_resolution :premises (@p135 @p32 @p54 @p48 @p47 @p40) :args ((or @t69 @t55) (@list false false false false false) (@list @t49 @t61 @t62 @t54 @t57))) % 45.79/46.06 (step @p137 :rule instantiate :premises (@p9) :args (@t45)) % 45.79/46.06 (step @p138 :rule cnf_equiv_pos1 :args (@t102)) % 45.79/46.06 (step @p139 :rule reordering :premises (@p138) :args ((or @t56 @t101 (not @t102)))) % 45.79/46.06 (step @p140 :rule instantiate :premises (@p27) :args (@t45)) % 45.79/46.06 (step @p141 :rule cnf_equiv_pos1 :args (@t105)) % 45.79/46.06 (step @p142 :rule reordering :premises (@p141) :args ((or @t56 @t104 (not @t105)))) % 45.79/46.06 (step @p143 :rule refl :args (@t106)) % 45.79/46.06 (step @p144 :rule refl :args (@t107)) % 45.79/46.06 (step @p145 :rule nary_cong :premises (@p58 @p144 @p143 @p56) :args ((or @t71 @t107 @t106 @t65))) % 45.79/46.06 (assume-push @p342 @t104) % 45.79/46.06 (assume-push @p343 @t49) % 45.79/46.06 (assume-push @p344 @t70) % 45.79/46.06 (assume-push @p345 @t101) % 45.79/46.06 (assume-push @p346 @t108) % 45.79/46.06 (step @p65 :rule evaluate :args (@t75)) % 45.79/46.06 (step @p66 :rule evaluate :args (@t76)) % 45.79/46.06 (step @p151 :rule evaluate :args ((+ 0 0 1 -1))) % 45.79/46.06 (step @p152 :rule refl :args (-1)) % 45.79/46.06 (step @p69 :rule evaluate :args (@t77)) % 45.79/46.06 (step @p68 :rule refl :args (0)) % 45.79/46.06 (step @p153 :rule evaluate :args (@t109)) % 45.79/46.06 (step @p154 :rule nary_cong :premises (@p153 @p68 @p69 @p152) :args (@t110)) % 45.79/46.06 (step @p155 :rule trans :premises (@p154 @p151)) % 45.79/46.06 (step @p72 :rule arith_poly_norm :args (@t80)) % 45.79/46.06 (step @p73 :rule arith_poly_norm :args (@t82)) % 45.79/46.06 (step @p74 :rule refl :args (@t60)) % 45.79/46.06 (step @p75 :rule refl :args (@t67)) % 45.79/46.06 (step @p76 :rule refl :args (@t79)) % 45.79/46.06 (step @p77 :rule arith_poly_norm :args (@t84)) % 45.79/46.06 (step @p78 :rule refl :args (@t46)) % 45.79/46.06 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76 @p75 @p74 @p73) :args (@t85)) % 45.79/46.06 (step @p80 :rule trans :premises (@p79 @p72)) % 45.79/46.06 (step @p81 :rule arith_poly_norm :args (@t89)) % 45.79/46.06 (step @p82 :rule trans :premises (@p81 @p80)) % 45.79/46.06 (step @p156 :rule cong :premises (@p82 @p155) :args (@t111)) % 45.79/46.06 (step @p157 :rule trans :premises (@p156 @p66)) % 45.79/46.06 (step @p158 :rule cong :premises (@p157) :args ((not @t111))) % 45.79/46.06 (step @p159 :rule trans :premises (@p158 @p65)) % 45.79/46.06 (step @p160 :rule arith-elim-lt :args (@t88 @t110)) % 45.79/46.06 (step @p161 :rule trans :premises (@p160 @p159)) % 45.79/46.06 (step @p162 :rule arith_poly_norm :args (@t112)) % 45.79/46.06 (step @p163 :rule arith_poly_norm_rel :premises (@p162) :args (@t114)) % 45.79/46.06 (step @p164 :rule symm :premises (@p163)) % 45.79/46.06 (step @p165 :rule eq_resolve :premises (@p342 @p164)) % 45.79/46.06 (step @p93 :rule arith_mult_neg :args (-1 @t94)) % 45.79/46.06 (step @p94 :rule arith_poly_norm :args (@t95)) % 45.79/46.06 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args (@t96)) % 45.79/46.06 (step @p96 :rule symm :premises (@p95)) % 45.79/46.06 (step @p97 :rule eq_resolve :premises (@p32 @p96)) % 45.79/46.06 (step @p98 :rule evaluate :args (@t97)) % 45.79/46.06 (step @p99 :rule true_elim :premises (@p98)) % 45.79/46.06 (step @p100 :rule and_intro :premises (@p99 @p97)) % 45.79/46.06 (step @p101 :rule modus_ponens :premises (@p100 @p93)) % 45.79/46.06 (step @p102 :rule arith-elim-lt :args (@t68 0)) % 45.79/46.06 (step @p103 :rule symm :premises (@p102)) % 45.79/46.06 (step @p166 :rule eq_resolve :premises (@p344 @p103)) % 45.79/46.06 (step @p167 :rule arith_mult_neg :args (-1 @t108)) % 45.79/46.06 (step @p168 :rule and_intro :premises (@p99 @p346)) % 45.79/46.06 (step @p169 :rule modus_ponens :premises (@p168 @p167)) % 45.79/46.06 (step @p170 :rule arith_sum_ub :premises (@p169 @p166 @p101 @p165)) % 45.79/46.06 (step @p171 false :rule eq_resolve :premises (@p170 @p161)) % 45.79/46.06 (step-pop @p347 :rule scope :premises (@p171)) % 45.79/46.06 (step @p172 :rule process_scope :premises (@p347) :args (false)) % 45.79/46.06 (step @p174 :rule arith_poly_norm :args (@t115)) % 45.79/46.06 (step @p175 :rule arith_poly_norm_rel :premises (@p174) :args (@t116)) % 45.79/46.06 (step @p176 :rule symm :premises (@p175)) % 45.79/46.06 (step @p177 :rule eq_resolve :premises (@p345 @p176)) % 45.79/46.06 (step @p178 false :rule contra :premises (@p177 @p172)) % 45.79/46.06 (step-pop @p348 :rule scope :premises (@p178)) % 45.79/46.06 (step-pop @p349 :rule scope :premises (@p348)) % 45.79/46.06 (step-pop @p350 :rule scope :premises (@p349)) % 45.79/46.06 (step-pop @p351 :rule scope :premises (@p350)) % 45.79/46.06 (step @p179 :rule process_scope :premises (@p351) :args (false)) % 45.79/46.06 (assume-push @p352 @t70) % 45.79/46.06 (assume-push @p353 @t101) % 45.79/46.06 (assume-push @p354 @t104) % 45.79/46.06 (assume-push @p355 @t49) % 45.79/46.06 (step @p188 :rule and_intro :premises (@p354 @p32 @p352 @p353)) % 45.79/46.06 (step-pop @p356 :rule scope :premises (@p188)) % 45.79/46.06 (step-pop @p357 :rule scope :premises (@p356)) % 45.79/46.06 (step-pop @p358 :rule scope :premises (@p357)) % 45.79/46.06 (step-pop @p359 :rule scope :premises (@p358)) % 45.79/46.06 (step @p189 :rule process_scope :premises (@p359) :args (@t117)) % 45.79/46.06 (step @p194 :rule implies_elim :premises (@p189)) % 45.79/46.06 (step @p195 :rule resolution :premises (@p194 @p179) :args (true @t117)) % 45.79/46.06 (step @p196 :rule not_and :premises (@p195)) % 45.79/46.06 (step @p197 :rule eq_resolve :premises (@p196 @p145)) % 45.79/46.06 (step @p198 :rule chain_m_resolution :premises (@p197 @p32 @p142 @p140 @p139 @p137 @p136) :args (@t69 @t118 (@list @t49 @t104 @t105 @t101 @t102 @t55))) % 45.79/46.06 (step @p199 :rule skolemize :premises (@p13)) % 45.79/46.06 (step @p200 :rule refl :args (@t70)) % 45.79/46.06 (step @p201 :rule bool-double-not-elim :args (@t119)) % 45.79/46.06 (step @p202 :rule bool-double-not-elim :args (@t120)) % 45.79/46.06 (step @p203 :rule nary_cong :premises (@p202 @p201 @p200) :args ((or (not @t122) (not @t121) @t70))) % 45.79/46.06 (assume-push @p360 @t122) % 45.79/46.06 (assume-push @p361 @t121) % 45.79/46.06 (assume-push @p362 @t122) % 45.79/46.06 (assume-push @p363 @t121) % 45.79/46.06 (step @p102 :rule arith-elim-lt :args (@t68 0)) % 45.79/46.06 (step @p208 :rule arith-elim-lt :args (@t68 1)) % 45.79/46.06 (step @p209 :rule symm :premises (@p208)) % 45.79/46.06 (step @p210 :rule eq_resolve :premises (@p361 @p209)) % 45.79/46.06 (step @p211 :rule int_tight_ub :premises (@p210)) % 45.79/46.06 (step @p212 :rule arith_poly_norm :args ((= (* 1 (- @t68 0)) (* 1 (- @t48 @t60))))) % 45.79/46.06 (step @p213 :rule arith_poly_norm_rel :premises (@p212) :args ((= @t123 @t120))) % 45.79/46.06 (step @p214 :rule cong :premises (@p213) :args ((not @t123))) % 45.79/46.06 (step @p215 :rule symm :premises (@p214)) % 45.79/46.06 (step @p216 :rule eq_resolve :premises (@p199 @p215)) % 45.79/46.06 (step @p217 :rule arith_trichotomy :premises (@p216 @p211)) % 45.79/46.06 (step @p218 :rule eq_resolve :premises (@p217 @p102)) % 45.79/46.06 (step-pop @p364 :rule scope :premises (@p218)) % 45.79/46.06 (step-pop @p365 :rule scope :premises (@p364)) % 45.79/46.06 (step @p219 :rule process_scope :premises (@p365) :args (@t70)) % 45.79/46.06 (step @p222 :rule and_intro :premises (@p199 @p361)) % 45.79/46.06 (step @p223 :rule modus_ponens :premises (@p222 @p219)) % 45.79/46.06 (step-pop @p366 :rule scope :premises (@p223)) % 45.79/46.06 (step-pop @p367 :rule scope :premises (@p366)) % 45.79/46.06 (step @p224 :rule process_scope :premises (@p367) :args (@t70)) % 45.79/46.06 (step @p227 :rule implies_elim :premises (@p224)) % 45.79/46.06 (step @p228 :rule cnf_and_neg :args (@t124)) % 45.79/46.06 (step @p229 :rule resolution :premises (@p228 @p227) :args (true @t124)) % 45.79/46.06 (step @p230 :rule eq_resolve :premises (@p229 @p203)) % 45.79/46.06 (step @p231 :rule chain_m_resolution :premises (@p230 @p199 @p198) :args (@t119 @t125 (@list @t120 @t69))) % 45.79/46.06 (assume-push @p368 @t104) % 45.79/46.06 (assume-push @p369 @t49) % 45.79/46.06 (assume-push @p370 @t119) % 45.79/46.06 (assume-push @p371 @t101) % 45.79/46.06 (assume-push @p372 @t108) % 45.79/46.06 (step @p237 :rule evaluate :args (@t126)) % 45.79/46.06 (step @p238 :rule evaluate :args ((+ 0 -1 -1 1))) % 45.79/46.06 (step @p69 :rule evaluate :args (@t77)) % 45.79/46.06 (step @p152 :rule refl :args (-1)) % 45.79/46.06 (step @p68 :rule refl :args (0)) % 45.79/46.06 (step @p239 :rule nary_cong :premises (@p68 @p16 @p152 @p69) :args (@t127)) % 45.79/46.06 (step @p240 :rule trans :premises (@p239 @p238)) % 45.79/46.06 (step @p241 :rule arith_poly_norm :args (@t128)) % 45.79/46.06 (step @p73 :rule arith_poly_norm :args (@t82)) % 45.79/46.06 (step @p75 :rule refl :args (@t67)) % 45.79/46.06 (step @p74 :rule refl :args (@t60)) % 45.79/46.06 (step @p78 :rule refl :args (@t46)) % 45.79/46.06 (step @p77 :rule arith_poly_norm :args (@t84)) % 45.79/46.06 (step @p76 :rule refl :args (@t79)) % 45.79/46.06 (step @p242 :rule nary_cong :premises (@p76 @p77 @p78 @p74 @p75 @p73) :args (@t129)) % 45.79/46.06 (step @p243 :rule trans :premises (@p242 @p241)) % 45.79/46.06 (step @p244 :rule arith_poly_norm :args (@t131)) % 45.79/46.06 (step @p245 :rule trans :premises (@p244 @p243)) % 45.79/46.06 (step @p246 :rule cong :premises (@p245 @p240) :args ((<= @t130 @t127))) % 45.79/46.06 (step @p247 :rule trans :premises (@p246 @p237)) % 45.79/46.06 (step @p248 :rule arith_mult_neg :args (-1 @t113)) % 45.79/46.06 (step @p162 :rule arith_poly_norm :args (@t112)) % 45.79/46.06 (step @p163 :rule arith_poly_norm_rel :premises (@p162) :args (@t114)) % 45.79/46.06 (step @p164 :rule symm :premises (@p163)) % 45.79/46.06 (step @p249 :rule eq_resolve :premises (@p368 @p164)) % 45.79/46.06 (step @p98 :rule evaluate :args (@t97)) % 45.79/46.06 (step @p99 :rule true_elim :premises (@p98)) % 45.79/46.06 (step @p250 :rule and_intro :premises (@p99 @p249)) % 45.79/46.06 (step @p251 :rule modus_ponens :premises (@p250 @p248)) % 45.79/46.06 (step @p94 :rule arith_poly_norm :args (@t95)) % 45.79/46.06 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args (@t96)) % 45.79/46.06 (step @p96 :rule symm :premises (@p95)) % 45.79/46.06 (step @p97 :rule eq_resolve :premises (@p32 @p96)) % 45.79/46.06 (step @p252 :rule arith_mult_neg :args (-1 @t119)) % 45.79/46.06 (step @p253 :rule and_intro :premises (@p99 @p370)) % 45.79/46.06 (step @p254 :rule modus_ponens :premises (@p253 @p252)) % 45.79/46.06 (step @p255 :rule arith_sum_ub :premises (@p372 @p254 @p97 @p251)) % 45.79/46.06 (step @p256 false :rule eq_resolve :premises (@p255 @p247)) % 45.79/46.06 (step-pop @p373 :rule scope :premises (@p256)) % 45.79/46.06 (step @p257 :rule process_scope :premises (@p373) :args (false)) % 45.79/46.06 (step @p174 :rule arith_poly_norm :args (@t115)) % 45.79/46.06 (step @p175 :rule arith_poly_norm_rel :premises (@p174) :args (@t116)) % 45.79/46.06 (step @p176 :rule symm :premises (@p175)) % 45.79/46.06 (step @p259 :rule eq_resolve :premises (@p371 @p176)) % 45.79/46.06 (step @p260 false :rule contra :premises (@p259 @p257)) % 45.79/46.06 (step-pop @p374 :rule scope :premises (@p260)) % 45.79/46.06 (step-pop @p375 :rule scope :premises (@p374)) % 45.79/46.06 (step-pop @p376 :rule scope :premises (@p375)) % 45.79/46.06 (step-pop @p377 :rule scope :premises (@p376)) % 45.79/46.06 (step @p261 :rule process_scope :premises (@p377) :args (false)) % 45.79/46.06 (assume-push @p378 @t119) % 45.79/46.06 (assume-push @p379 @t101) % 45.79/46.06 (assume-push @p380 @t104) % 45.79/46.06 (assume-push @p381 @t49) % 45.79/46.06 (step @p270 :rule and_intro :premises (@p380 @p32 @p378 @p379)) % 45.79/46.06 (step-pop @p382 :rule scope :premises (@p270)) % 45.79/46.06 (step-pop @p383 :rule scope :premises (@p382)) % 45.79/46.06 (step-pop @p384 :rule scope :premises (@p383)) % 45.79/46.06 (step-pop @p385 :rule scope :premises (@p384)) % 45.79/46.06 (step @p271 :rule process_scope :premises (@p385) :args (@t132)) % 45.79/46.06 (step @p276 :rule implies_elim :premises (@p271)) % 45.79/46.06 (step @p277 :rule resolution :premises (@p276 @p261) :args (true @t132)) % 45.79/46.06 (step @p278 :rule not_and :premises (@p277)) % 45.79/46.06 (step @p279 :rule chain_m_resolution :premises (@p278 @p231 @p32 @p142 @p140 @p139 @p137) :args (@t56 @t118 (@list @t119 @t49 @t104 @t105 @t101 @t102))) % 45.79/46.06 (step @p280 :rule chain_m_resolution :premises (@p47 @p279 @p40) :args (@t54 @t125 (@list @t55 @t57))) % 45.79/46.06 (step @p281 :rule chain_m_resolution :premises (@p54 @p279 @p48) :args (@t61 @t125 (@list @t55 @t62))) % 45.79/46.06 (assume-push @p386 @t61) % 45.79/46.06 (assume-push @p387 @t49) % 45.79/46.06 (assume-push @p388 @t119) % 45.79/46.06 (assume-push @p389 @t54) % 45.79/46.06 (assume-push @p390 @t74) % 45.79/46.06 (step @p237 :rule evaluate :args (@t126)) % 45.79/46.06 (step @p287 :rule evaluate :args ((+ 1 -1 -1 0))) % 45.79/46.06 (step @p153 :rule evaluate :args (@t109)) % 45.79/46.06 (step @p152 :rule refl :args (-1)) % 45.79/46.06 (step @p288 :rule refl :args (1)) % 45.79/46.06 (step @p289 :rule nary_cong :premises (@p288 @p16 @p152 @p153) :args (@t133)) % 45.79/46.06 (step @p290 :rule trans :premises (@p289 @p287)) % 45.79/46.06 (step @p241 :rule arith_poly_norm :args (@t128)) % 45.79/46.06 (step @p73 :rule arith_poly_norm :args (@t82)) % 45.79/46.06 (step @p75 :rule refl :args (@t67)) % 45.79/46.06 (step @p74 :rule refl :args (@t60)) % 45.79/46.06 (step @p78 :rule refl :args (@t46)) % 45.79/46.06 (step @p77 :rule arith_poly_norm :args (@t84)) % 45.79/46.06 (step @p76 :rule refl :args (@t79)) % 45.79/46.06 (step @p242 :rule nary_cong :premises (@p76 @p77 @p78 @p74 @p75 @p73) :args (@t129)) % 45.79/46.06 (step @p243 :rule trans :premises (@p242 @p241)) % 45.79/46.06 (step @p244 :rule arith_poly_norm :args (@t131)) % 45.79/46.06 (step @p245 :rule trans :premises (@p244 @p243)) % 45.79/46.06 (step @p291 :rule cong :premises (@p245 @p290) :args ((<= @t130 @t133))) % 45.79/46.06 (step @p292 :rule trans :premises (@p291 @p237)) % 45.79/46.06 (step @p293 :rule arith_mult_neg :args (-1 @t92)) % 45.79/46.06 (step @p89 :rule arith_poly_norm :args (@t91)) % 45.79/46.06 (step @p90 :rule arith_poly_norm_rel :premises (@p89) :args (@t93)) % 45.79/46.06 (step @p91 :rule symm :premises (@p90)) % 45.79/46.06 (step @p294 :rule eq_resolve :premises (@p386 @p91)) % 45.79/46.06 (step @p98 :rule evaluate :args (@t97)) % 45.79/46.06 (step @p99 :rule true_elim :premises (@p98)) % 45.79/46.06 (step @p295 :rule and_intro :premises (@p99 @p294)) % 45.79/46.06 (step @p296 :rule modus_ponens :premises (@p295 @p293)) % 45.79/46.06 (step @p94 :rule arith_poly_norm :args (@t95)) % 45.79/46.06 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args (@t96)) % 45.79/46.06 (step @p96 :rule symm :premises (@p95)) % 45.79/46.06 (step @p97 :rule eq_resolve :premises (@p32 @p96)) % 45.79/46.06 (step @p252 :rule arith_mult_neg :args (-1 @t119)) % 45.79/46.06 (step @p297 :rule and_intro :premises (@p99 @p388)) % 45.79/46.06 (step @p298 :rule modus_ponens :premises (@p297 @p252)) % 45.79/46.06 (step @p299 :rule arith_sum_ub :premises (@p390 @p298 @p97 @p296)) % 45.79/46.06 (step @p300 false :rule eq_resolve :premises (@p299 @p292)) % 45.79/46.06 (step-pop @p391 :rule scope :premises (@p300)) % 45.79/46.06 (step @p301 :rule process_scope :premises (@p391) :args (false)) % 45.79/46.06 (step @p112 :rule arith_poly_norm :args (@t98)) % 45.79/46.06 (step @p113 :rule arith_poly_norm_rel :premises (@p112) :args (@t99)) % 45.79/46.06 (step @p114 :rule symm :premises (@p113)) % 45.79/46.06 (step @p303 :rule eq_resolve :premises (@p389 @p114)) % 45.79/46.06 (step @p304 false :rule contra :premises (@p303 @p301)) % 45.79/46.06 (step-pop @p392 :rule scope :premises (@p304)) % 45.79/46.06 (step-pop @p393 :rule scope :premises (@p392)) % 45.79/46.06 (step-pop @p394 :rule scope :premises (@p393)) % 45.79/46.06 (step-pop @p395 :rule scope :premises (@p394)) % 45.79/46.06 (step @p305 :rule process_scope :premises (@p395) :args (false)) % 45.79/46.06 (assume-push @p396 @t119) % 45.79/46.06 (assume-push @p397 @t54) % 45.79/46.06 (assume-push @p398 @t49) % 45.79/46.06 (assume-push @p399 @t61) % 45.79/46.06 (step @p314 :rule and_intro :premises (@p399 @p32 @p396 @p397)) % 45.79/46.06 (step-pop @p400 :rule scope :premises (@p314)) % 45.79/46.06 (step-pop @p401 :rule scope :premises (@p400)) % 45.79/46.06 (step-pop @p402 :rule scope :premises (@p401)) % 45.79/46.06 (step-pop @p403 :rule scope :premises (@p402)) % 45.79/46.06 (step @p315 :rule process_scope :premises (@p403) :args (@t134)) % 45.79/46.06 (step @p320 :rule implies_elim :premises (@p315)) % 45.79/46.06 (step @p321 :rule resolution :premises (@p320 @p305) :args (true @t134)) % 45.79/46.06 (step @p322 :rule not_and :premises (@p321)) % 45.79/46.06 (step @p323 false :rule chain_m_resolution :premises (@p322 @p281 @p280 @p231 @p32) :args (false (@list false false false false) (@list @t61 @t54 @t119 @t49))) % 45.79/46.06 ) % 45.79/46.06 % SZS output end Proof % 45.79/46.06 % cvc5 exiting %------------------------------------------------------------------------------