%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT028_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:14:22 AM UTC 2026 % Result : Theorem 45.61s 45.81s % Output : Proof 45.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT028_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 22:25:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_ARI % 45.61/45.81 --- Run --finite-model-find --decision=internal at 45... % 45.61/45.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.61/45.81 % SZS status Theorem % 45.61/45.81 % SZS output start Proof % 45.61/45.81 ( % 45.61/45.81 (declare-sort tptp.collection 0) % 45.61/45.81 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 45.61/45.81 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 45.61/45.81 (declare-const tptp.in (-> Int tptp.collection Bool)) % 45.61/45.81 (declare-const tptp.empty tptp.collection) % 45.61/45.81 (define @t1 () (@var "U" Int)) % 45.61/45.81 (define @t2 () (@var "W" tptp.collection)) % 45.61/45.81 (define @t3 () (@var "V" Int)) % 45.61/45.81 (define @t4 () (@var "Y" tptp.collection)) % 45.61/45.81 (define @t5 () (@var "X" Int)) % 45.61/45.81 (define @t6 () (@var "X1" tptp.collection)) % 45.61/45.81 (define @t7 () (@var "X2" Int)) % 45.61/45.81 (define @t8 () (@var "Z" Int)) % 45.61/45.81 (define @t9 () (@var "X4" tptp.collection)) % 45.61/45.81 (define @t10 () (@var "X5" Int)) % 45.61/45.81 (define @t11 () (@var "X3" Int)) % 45.61/45.81 (define @t12 () (@var "U" tptp.collection)) % 45.61/45.81 (define @t13 () (tptp.in @t8 @t12)) % 45.61/45.81 (define @t14 () (=> @t13 (> @t8 1))) % 45.61/45.81 (define @t15 () (@list @t8)) % 45.61/45.81 (define @t16 () (forall @t15 @t14)) % 45.61/45.81 (define @t17 () (@var "Y" Int)) % 45.61/45.81 (define @t18 () (@var "V" tptp.collection)) % 45.61/45.81 (define @t19 () (tptp.in @t17 @t18)) % 45.61/45.81 (define @t20 () (and @t19 (> @t5 @t17))) % 45.61/45.81 (define @t21 () (@list @t17)) % 45.61/45.81 (define @t22 () (exists @t21 @t20)) % 45.61/45.81 (define @t23 () (tptp.in @t5 @t12)) % 45.61/45.81 (define @t24 () (=> @t23 @t22)) % 45.61/45.81 (define @t25 () (@list @t5)) % 45.61/45.81 (define @t26 () (forall @t25 @t24)) % 45.61/45.81 (define @t27 () (@var "W" Int)) % 45.61/45.81 (define @t28 () (tptp.in @t27 @t18)) % 45.61/45.81 (define @t29 () (=> @t28 (> @t27 0))) % 45.61/45.81 (define @t30 () (@list @t27)) % 45.61/45.81 (define @t31 () (forall @t30 @t29)) % 45.61/45.81 (define @t32 () (and @t31 @t26)) % 45.61/45.81 (define @t33 () (=> @t32 @t16)) % 45.61/45.81 (define @t34 () (@list @t12 @t18)) % 45.61/45.81 (define @t35 () (forall @t34 @t33)) % 45.61/45.81 (define @t36 () (not @t35)) % 45.61/45.81 (define @t37 () (@var "BOUND_VARIABLE_7534" Int)) % 45.61/45.81 (define @t38 () (>= @t37 2)) % 45.61/45.81 (define @t39 () (not (tptp.in @t37 @t12))) % 45.61/45.81 (define @t40 () (* -1 @t17)) % 45.61/45.81 (define @t41 () (+ @t5 @t40)) % 45.61/45.81 (define @t42 () (>= @t41 1)) % 45.61/45.81 (define @t43 () (not @t42)) % 45.61/45.81 (define @t44 () (not (forall @t21 (or (not @t19) @t43)))) % 45.61/45.81 (define @t45 () (forall @t25 (or (not @t23) @t44))) % 45.61/45.81 (define @t46 () (not @t45)) % 45.61/45.81 (define @t47 () (>= @t27 1)) % 45.61/45.81 (define @t48 () (forall @t30 (or (not @t28) @t47))) % 45.61/45.81 (define @t49 () (not @t48)) % 45.61/45.81 (define @t50 () (or @t49 @t46 @t39 @t38)) % 45.61/45.81 (define @t51 () (or @t39 @t38)) % 45.61/45.81 (define @t52 () (or @t49 @t46 @t51)) % 45.61/45.81 (define @t53 () (@list @t12 @t18 @t37)) % 45.61/45.81 (define @t54 () (forall @t53 @t52)) % 45.61/45.81 (define @t55 () (@list @t37)) % 45.61/45.81 (define @t56 () (forall @t55 @t52)) % 45.61/45.81 (define @t57 () (forall @t55 @t51)) % 45.61/45.81 (define @t58 () (or @t49 @t46 @t57)) % 45.61/45.81 (define @t59 () (>= @t8 2)) % 45.61/45.81 (define @t60 () (forall @t15 (or (not @t13) @t59))) % 45.61/45.81 (define @t61 () (or @t49 @t46 @t60)) % 45.61/45.81 (define @t62 () (and @t48 @t45)) % 45.61/45.81 (define @t63 () (+ 1 1)) % 45.61/45.81 (define @t64 () (>= @t8 @t63)) % 45.61/45.81 (define @t65 () (and @t19 @t42)) % 45.61/45.81 (define @t66 () (forall @t21 (not @t65))) % 45.61/45.81 (define @t67 () (not @t66)) % 45.61/45.81 (define @t68 () (+ @t17 1)) % 45.61/45.81 (define @t69 () (>= @t5 @t68)) % 45.61/45.81 (define @t70 () (+ 0 1)) % 45.61/45.81 (define @t71 () (>= @t27 @t70)) % 45.61/45.81 (define @t72 () (forall @t53 @t50)) % 45.61/45.81 (define @t73 () (@quantifiers_skolemize @t72 2)) % 45.61/45.81 (define @t74 () (>= @t73 2)) % 45.61/45.81 (define @t75 () (@quantifiers_skolemize @t72 0)) % 45.61/45.81 (define @t76 () (tptp.in @t73 @t75)) % 45.61/45.81 (define @t77 () (not @t76)) % 45.61/45.81 (define @t78 () (@quantifiers_skolemize @t72 1)) % 45.61/45.81 (define @t79 () (not (tptp.in @t17 @t78))) % 45.61/45.81 (define @t80 () (forall @t25 (or (not (tptp.in @t5 @t75)) (not (forall @t21 (or @t79 @t43)))))) % 45.61/45.81 (define @t81 () (not @t80)) % 45.61/45.81 (define @t82 () (forall @t30 (or (not (tptp.in @t27 @t78)) @t47))) % 45.61/45.81 (define @t83 () (not @t82)) % 45.61/45.81 (define @t84 () (or @t83 @t81 @t77 @t74)) % 45.61/45.81 (define @t85 () (not @t74)) % 45.61/45.81 (define @t86 () (@list true)) % 45.61/45.81 (define @t87 () (@list @t84)) % 45.61/45.81 (define @t88 () (* -1 @t73)) % 45.61/45.81 (define @t89 () (+ @t17 @t88)) % 45.61/45.81 (define @t90 () (>= @t89 0)) % 45.61/45.81 (define @t91 () (+ @t40 @t73)) % 45.61/45.81 (define @t92 () (+ @t89 1)) % 45.61/45.81 (define @t93 () (+ @t73 @t40)) % 45.61/45.81 (define @t94 () (>= @t93 1)) % 45.61/45.81 (define @t95 () (not @t94)) % 45.61/45.81 (define @t96 () (or @t79 @t95)) % 45.61/45.81 (define @t97 () (forall @t21 @t96)) % 45.61/45.81 (define @t98 () (not @t97)) % 45.61/45.81 (define @t99 () (or @t77 @t98)) % 45.61/45.81 (define @t100 () (forall @t21 (or @t79 @t90))) % 45.61/45.81 (define @t101 () (not @t100)) % 45.61/45.81 (define @t102 () (or @t77 @t101)) % 45.61/45.81 (define @t103 () (@list false false)) % 45.61/45.81 (define @t104 () (@quantifiers_skolemize @t100 0)) % 45.61/45.81 (define @t105 () (* -1 @t104)) % 45.61/45.81 (define @t106 () (+ @t73 @t105)) % 45.61/45.81 (define @t107 () (>= @t106 1)) % 45.61/45.81 (define @t108 () (not @t107)) % 45.61/45.81 (define @t109 () (tptp.in @t104 @t78)) % 45.61/45.81 (define @t110 () (not @t109)) % 45.61/45.81 (define @t111 () (or @t110 @t108)) % 45.61/45.81 (define @t112 () (not @t111)) % 45.61/45.81 (define @t113 () (+ @t88 @t104)) % 45.61/45.81 (define @t114 () (+ @t106 1)) % 45.61/45.81 (define @t115 () (+ @t104 @t88)) % 45.61/45.81 (define @t116 () (>= @t115 0)) % 45.61/45.81 (define @t117 () (or @t110 @t116)) % 45.61/45.81 (define @t118 () (not @t117)) % 45.61/45.81 (define @t119 () (@list @t111)) % 45.61/45.81 (define @t120 () (>= @t104 1)) % 45.61/45.81 (define @t121 () (or @t110 @t120)) % 45.61/45.81 (define @t122 () (not @t120)) % 45.61/45.81 (define @t123 () (< @t73 2)) % 45.61/45.81 (define @t124 () (* -1 1)) % 45.61/45.81 (define @t125 () (+ 2 @t124 @t124)) % 45.61/45.81 (define @t126 () (* -1 @t106)) % 45.61/45.81 (define @t127 () (+ @t73 @t105 @t126)) % 45.61/45.81 (define @t128 () (>= @t127 @t125)) % 45.61/45.81 (define @t129 () (and @t107 @t120 @t85)) % 45.61/45.81 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 45.61/45.81 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 45.61/45.81 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 45.61/45.81 (assume @p4 (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 45.61/45.81 (assume @p5 (forall (@list @t11 @t9 @t10) (= (and (tptp.in @t11 @t9) (not (= @t11 @t10))) (tptp.in @t11 (tptp.remove @t10 @t9))))) % 45.61/45.81 (assume @p6 @t36) % 45.61/45.81 (assume @p7 true) % 45.61/45.81 (step @p8 :rule aci_norm :args ((= @t52 @t50))) % 45.61/45.81 (step @p9 :rule cong :premises (@p8) :args (@t54)) % 45.61/45.81 (step @p10 :rule quant-merge-prenex :args ((= (forall @t34 @t56) @t54))) % 45.61/45.81 (step @p11 :rule alpha_equiv :args (@t57 (@list @t37) (@list @t8))) % 45.61/45.81 (step @p12 :rule refl :args (@t46)) % 45.61/45.81 (step @p13 :rule refl :args (@t49)) % 45.61/45.81 (step @p14 :rule nary_cong :premises (@p13 @p12 @p11) :args (@t58)) % 45.61/45.81 (step @p15 :rule quant-miniscope-or :args ((= @t56 @t58))) % 45.61/45.81 (step @p16 :rule trans :premises (@p15 @p14)) % 45.61/45.81 (step @p17 :rule symm :premises (@p16)) % 45.61/45.81 (step @p18 :rule cong :premises (@p17) :args ((forall @t34 @t61))) % 45.61/45.81 (step @p19 :rule trans :premises (@p18 @p10)) % 45.61/45.81 (step @p20 :rule trans :premises (@p19 @p9)) % 45.61/45.81 (step @p21 :rule aci_norm :args ((= (or (or @t49 @t46) @t60) @t61))) % 45.61/45.81 (step @p22 :rule refl :args (@t60)) % 45.61/45.81 (step @p23 :rule bool-and-de-morgan :args (@t48 @t45 true)) % 45.61/45.81 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t62) @t60))) % 45.61/45.81 (step @p25 :rule trans :premises (@p24 @p21)) % 45.61/45.81 (step @p26 :rule bool-impl-elim :args (@t62 @t60)) % 45.61/45.81 (step @p27 :rule trans :premises (@p26 @p25)) % 45.61/45.81 (step @p28 :rule cong :premises (@p27) :args ((forall @t34 (=> @t62 @t60)))) % 45.61/45.81 (step @p29 :rule trans :premises (@p28 @p20)) % 45.61/45.81 (step @p30 :rule bool-impl-elim :args (@t13 @t59)) % 45.61/45.81 (step @p31 :rule cong :premises (@p30) :args ((forall @t15 (=> @t13 @t59)))) % 45.61/45.81 (step @p32 :rule bool-double-not-elim :args (@t59)) % 45.61/45.81 (step @p33 :rule evaluate :args (@t63)) % 45.61/45.81 (step @p34 :rule refl :args (@t8)) % 45.61/45.81 (step @p35 :rule cong :premises (@p34 @p33) :args (@t64)) % 45.61/45.81 (step @p36 :rule cong :premises (@p35) :args ((not @t64))) % 45.61/45.81 (step @p37 :rule arith-leq-norm :args (@t8 1)) % 45.61/45.81 (step @p38 :rule trans :premises (@p37 @p36)) % 45.61/45.81 (step @p39 :rule cong :premises (@p38) :args ((not (<= @t8 1)))) % 45.61/45.81 (step @p40 :rule trans :premises (@p39 @p32)) % 45.61/45.81 (step @p41 :rule arith-elim-leq :args (@t8 1)) % 45.61/45.81 (step @p42 :rule symm :premises (@p41)) % 45.61/45.81 (step @p43 :rule cong :premises (@p42) :args ((not (>= 1 @t8)))) % 45.61/45.81 (step @p44 :rule arith-elim-gt :args (@t8 1)) % 45.61/45.81 (step @p45 :rule trans :premises (@p44 @p43)) % 45.61/45.81 (step @p46 :rule trans :premises (@p45 @p40)) % 45.61/45.81 (step @p47 :rule refl :args (@t13)) % 45.61/45.81 (step @p48 :rule cong :premises (@p47 @p46) :args (@t14)) % 45.61/45.81 (step @p49 :rule cong :premises (@p48) :args (@t16)) % 45.61/45.81 (step @p50 :rule trans :premises (@p49 @p31)) % 45.61/45.81 (step @p51 :rule bool-impl-elim :args (@t23 @t44)) % 45.61/45.81 (step @p52 :rule cong :premises (@p51) :args ((forall @t25 (=> @t23 @t44)))) % 45.61/45.81 (step @p53 :rule bool-and-de-morgan :args (@t19 @t42 true)) % 45.61/45.81 (step @p54 :rule cong :premises (@p53) :args (@t66)) % 45.61/45.81 (step @p55 :rule cong :premises (@p54) :args (@t67)) % 45.61/45.81 (step @p56 :rule exists-elim :args ((= (exists @t21 @t65) @t67))) % 45.61/45.81 (step @p57 :rule trans :premises (@p56 @p55)) % 45.61/45.81 (step @p58 :rule bool-double-not-elim :args (@t42)) % 45.61/45.81 (step @p59 :rule arith_poly_norm :args ((= (* -1 (- @t5 @t68)) (* -1 (- @t41 1))))) % 45.61/45.81 (step @p60 :rule arith_poly_norm_rel :premises (@p59) :args ((= @t69 @t42))) % 45.61/45.81 (step @p61 :rule cong :premises (@p60) :args ((not @t69))) % 45.61/45.81 (step @p62 :rule arith-leq-norm :args (@t5 @t17)) % 45.61/45.81 (step @p63 :rule trans :premises (@p62 @p61)) % 45.61/45.81 (step @p64 :rule cong :premises (@p63) :args ((not (<= @t5 @t17)))) % 45.61/45.81 (step @p65 :rule trans :premises (@p64 @p58)) % 45.61/45.81 (step @p66 :rule arith-elim-leq :args (@t5 @t17)) % 45.61/45.81 (step @p67 :rule symm :premises (@p66)) % 45.61/45.81 (step @p68 :rule cong :premises (@p67) :args ((not (>= @t17 @t5)))) % 45.61/45.81 (step @p69 :rule arith-elim-gt :args (@t5 @t17)) % 45.61/45.81 (step @p70 :rule trans :premises (@p69 @p68)) % 45.61/45.81 (step @p71 :rule trans :premises (@p70 @p65)) % 45.61/45.81 (step @p72 :rule refl :args (@t19)) % 45.61/45.81 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t20)) % 45.61/45.81 (step @p74 :rule cong :premises (@p73) :args (@t22)) % 45.61/45.81 (step @p75 :rule trans :premises (@p74 @p57)) % 45.61/45.81 (step @p76 :rule refl :args (@t23)) % 45.61/45.81 (step @p77 :rule cong :premises (@p76 @p75) :args (@t24)) % 45.61/45.81 (step @p78 :rule cong :premises (@p77) :args (@t26)) % 45.61/45.81 (step @p79 :rule trans :premises (@p78 @p52)) % 45.61/45.81 (step @p80 :rule bool-impl-elim :args (@t28 @t47)) % 45.61/45.81 (step @p81 :rule cong :premises (@p80) :args ((forall @t30 (=> @t28 @t47)))) % 45.61/45.81 (step @p82 :rule bool-double-not-elim :args (@t47)) % 45.61/45.81 (step @p83 :rule evaluate :args (@t70)) % 45.61/45.81 (step @p84 :rule refl :args (@t27)) % 45.61/45.81 (step @p85 :rule cong :premises (@p84 @p83) :args (@t71)) % 45.61/45.81 (step @p86 :rule cong :premises (@p85) :args ((not @t71))) % 45.61/45.81 (step @p87 :rule arith-leq-norm :args (@t27 0)) % 45.61/45.81 (step @p88 :rule trans :premises (@p87 @p86)) % 45.61/45.81 (step @p89 :rule cong :premises (@p88) :args ((not (<= @t27 0)))) % 45.61/45.81 (step @p90 :rule trans :premises (@p89 @p82)) % 45.61/45.81 (step @p91 :rule arith-elim-leq :args (@t27 0)) % 45.61/45.81 (step @p92 :rule symm :premises (@p91)) % 45.61/45.81 (step @p93 :rule cong :premises (@p92) :args ((not (>= 0 @t27)))) % 45.61/45.81 (step @p94 :rule arith-elim-gt :args (@t27 0)) % 45.61/45.81 (step @p95 :rule trans :premises (@p94 @p93)) % 45.61/45.81 (step @p96 :rule trans :premises (@p95 @p90)) % 45.61/45.81 (step @p97 :rule refl :args (@t28)) % 45.61/45.81 (step @p98 :rule cong :premises (@p97 @p96) :args (@t29)) % 45.61/45.81 (step @p99 :rule cong :premises (@p98) :args (@t31)) % 45.61/45.81 (step @p100 :rule trans :premises (@p99 @p81)) % 45.61/45.81 (step @p101 :rule nary_cong :premises (@p100 @p79) :args (@t32)) % 45.61/45.81 (step @p102 :rule cong :premises (@p101 @p50) :args (@t33)) % 45.61/45.81 (step @p103 :rule cong :premises (@p102) :args (@t35)) % 45.61/45.81 (step @p104 :rule trans :premises (@p103 @p29)) % 45.61/45.81 (step @p105 :rule cong :premises (@p104) :args (@t36)) % 45.61/45.81 (step @p106 :rule eq_resolve :premises (@p6 @p105)) % 45.61/45.81 (step @p107 :rule skolemize :premises (@p106)) % 45.61/45.81 (step @p108 :rule cnf_or_neg :args (@t84 3)) % 45.61/45.81 (step @p109 :rule chain_m_resolution :premises (@p108 @p107) :args (@t85 @t86 @t87)) % 45.61/45.81 (step @p110 :rule bool-double-not-elim :args (@t80)) % 45.61/45.81 (step @p111 :rule refl :args (@t84)) % 45.61/45.81 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t84 (not @t81)))) % 45.61/45.81 (step @p113 :rule cnf_or_neg :args (@t84 1)) % 45.61/45.81 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 45.61/45.81 (step @p115 :rule reordering :premises (@p114) :args ((or @t80 @t84))) % 45.61/45.81 (step @p116 :rule chain_m_resolution :premises (@p115 @p107) :args (@t80 @t86 @t87)) % 45.61/45.81 (step @p117 :rule bool-double-not-elim :args (@t90)) % 45.61/45.81 (step @p118 :rule arith_poly_norm :args ((= (* -1 (- 0 @t92)) (* -1 (- @t91 1))))) % 45.61/45.81 (step @p119 :rule arith_poly_norm_rel :premises (@p118) :args ((= (>= 0 @t92) (>= @t91 1)))) % 45.61/45.81 (step @p120 :rule arith-geq-tighten :args (@t89 0)) % 45.61/45.81 (step @p121 :rule trans :premises (@p120 @p119)) % 45.61/45.81 (step @p122 :rule symm :premises (@p121)) % 45.61/45.81 (step @p123 :rule refl :args (1)) % 45.61/45.81 (step @p124 :rule arith_poly_norm :args ((= @t93 @t91))) % 45.61/45.81 (step @p125 :rule cong :premises (@p124 @p123) :args (@t94)) % 45.61/45.81 (step @p126 :rule trans :premises (@p125 @p122)) % 45.61/45.81 (step @p127 :rule cong :premises (@p126) :args (@t95)) % 45.61/45.81 (step @p128 :rule trans :premises (@p127 @p117)) % 45.61/45.81 (step @p129 :rule refl :args (@t79)) % 45.61/45.81 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t96)) % 45.61/45.81 (step @p131 :rule cong :premises (@p130) :args (@t97)) % 45.61/45.81 (step @p132 :rule cong :premises (@p131) :args (@t98)) % 45.61/45.81 (step @p133 :rule refl :args (@t77)) % 45.61/45.81 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t99)) % 45.61/45.81 (step @p135 :rule refl :args (@t80)) % 45.61/45.81 (step @p136 :rule cong :premises (@p135 @p134) :args ((=> @t80 @t99))) % 45.61/45.81 (assume-push @p268 @t80) % 45.61/45.81 (step @p138 :rule instantiate :premises (@p116) :args ((@list @t73))) % 45.61/45.81 (step-pop @p269 :rule scope :premises (@p138)) % 45.61/45.81 (step @p139 :rule process_scope :premises (@p269) :args (@t99)) % 45.61/45.81 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 45.61/45.81 (step @p142 :rule implies_elim :premises (@p141)) % 45.61/45.81 (step @p143 :rule chain_m_resolution :premises (@p142 @p116) :args (@t102 (@list false) (@list @t80))) % 45.61/45.81 (step @p144 :rule bool-double-not-elim :args (@t76)) % 45.61/45.81 (step @p145 :rule nary_cong :premises (@p111 @p144) :args ((or @t84 (not @t77)))) % 45.61/45.81 (step @p146 :rule cnf_or_neg :args (@t84 2)) % 45.61/45.81 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 45.61/45.81 (step @p148 :rule reordering :premises (@p147) :args ((or @t76 @t84))) % 45.61/45.81 (step @p149 :rule chain_m_resolution :premises (@p148 @p107) :args (@t76 @t86 @t87)) % 45.61/45.81 (step @p150 :rule cnf_or_pos :args (@t102)) % 45.61/45.81 (step @p151 :rule reordering :premises (@p150) :args ((or @t77 @t101 (not @t102)))) % 45.61/45.81 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p143) :args (@t101 @t103 (@list @t76 @t102))) % 45.61/45.81 (step @p153 :rule refl :args (@t112)) % 45.61/45.81 (step @p154 :rule bool-double-not-elim :args (@t100)) % 45.61/45.81 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or (not @t101) @t112))) % 45.61/45.81 (step @p156 :rule arith_poly_norm :args ((= (* -1 (- 1 @t114)) (* -1 (- @t113 0))))) % 45.61/45.81 (step @p157 :rule arith_poly_norm_rel :premises (@p156) :args ((= (>= 1 @t114) (>= @t113 0)))) % 45.61/45.81 (step @p158 :rule arith-geq-tighten :args (@t106 1)) % 45.61/45.81 (step @p159 :rule trans :premises (@p158 @p157)) % 45.61/45.81 (step @p160 :rule symm :premises (@p159)) % 45.61/45.81 (step @p161 :rule refl :args (0)) % 45.61/45.81 (step @p162 :rule arith_poly_norm :args ((= @t115 @t113))) % 45.61/45.81 (step @p163 :rule cong :premises (@p162 @p161) :args (@t116)) % 45.61/45.81 (step @p164 :rule trans :premises (@p163 @p160)) % 45.61/45.81 (step @p165 :rule refl :args (@t110)) % 45.61/45.81 (step @p166 :rule nary_cong :premises (@p165 @p164) :args (@t117)) % 45.61/45.81 (step @p167 :rule cong :premises (@p166) :args (@t118)) % 45.61/45.81 (step @p168 :rule refl :args (@t101)) % 45.61/45.81 (step @p169 :rule cong :premises (@p168 @p167) :args ((=> @t101 @t118))) % 45.61/45.81 (assume-push @p270 @t101) % 45.61/45.81 (step @p171 :rule skolemize :premises (@p152)) % 45.61/45.81 (step-pop @p271 :rule scope :premises (@p171)) % 45.61/45.81 (step @p172 :rule process_scope :premises (@p271) :args (@t118)) % 45.61/45.81 (step @p174 :rule eq_resolve :premises (@p172 @p169)) % 45.61/45.81 (step @p175 :rule implies_elim :premises (@p174)) % 45.61/45.81 (step @p176 :rule eq_resolve :premises (@p175 @p155)) % 45.61/45.81 (step @p177 :rule chain_m_resolution :premises (@p176 @p152) :args (@t112 @t86 (@list @t100))) % 45.61/45.81 (step @p178 :rule bool-double-not-elim :args (@t107)) % 45.61/45.81 (step @p179 :rule refl :args (@t111)) % 45.61/45.81 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t111 (not @t108)))) % 45.61/45.81 (step @p181 :rule cnf_or_neg :args (@t111 1)) % 45.61/45.81 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 45.61/45.81 (step @p183 :rule reordering :premises (@p182) :args ((or @t107 @t111))) % 45.61/45.81 (step @p184 :rule chain_m_resolution :premises (@p183 @p177) :args (@t107 @t86 @t119)) % 45.61/45.81 (step @p185 :rule bool-double-not-elim :args (@t82)) % 45.61/45.81 (step @p186 :rule nary_cong :premises (@p111 @p185) :args ((or @t84 (not @t83)))) % 45.61/45.81 (step @p187 :rule cnf_or_neg :args (@t84 0)) % 45.61/45.81 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 45.61/45.81 (step @p189 :rule reordering :premises (@p188) :args ((or @t82 @t84))) % 45.61/45.81 (step @p190 :rule chain_m_resolution :premises (@p189 @p107) :args (@t82 @t86 @t87)) % 45.61/45.81 (step @p191 :rule instantiate :premises (@p190) :args ((@list @t104))) % 45.61/45.81 (step @p192 :rule bool-double-not-elim :args (@t109)) % 45.61/45.81 (step @p193 :rule nary_cong :premises (@p179 @p192) :args ((or @t111 (not @t110)))) % 45.61/45.81 (step @p194 :rule cnf_or_neg :args (@t111 0)) % 45.61/45.81 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 45.61/45.81 (step @p196 :rule reordering :premises (@p195) :args ((or @t109 @t111))) % 45.61/45.81 (step @p197 :rule chain_m_resolution :premises (@p196 @p177) :args (@t109 @t86 @t119)) % 45.61/45.81 (step @p198 :rule cnf_or_pos :args (@t121)) % 45.61/45.81 (step @p199 :rule reordering :premises (@p198) :args ((or @t110 @t120 (not @t121)))) % 45.61/45.81 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p191) :args (@t120 @t103 (@list @t109 @t121))) % 45.61/45.81 (step @p201 :rule refl :args (@t122)) % 45.61/45.81 (step @p202 :rule refl :args (@t108)) % 45.61/45.81 (step @p203 :rule bool-double-not-elim :args (@t74)) % 45.61/45.81 (step @p204 :rule nary_cong :premises (@p203 @p202 @p201) :args ((or (not @t85) @t108 @t122))) % 45.61/45.81 (assume-push @p272 @t107) % 45.61/45.81 (assume-push @p273 @t120) % 45.61/45.81 (assume-push @p274 @t85) % 45.61/45.81 (step @p208 :rule arith-elim-lt :args (@t73 2)) % 45.61/45.81 (step @p209 :rule cong :premises (@p208) :args ((not @t123))) % 45.61/45.81 (step @p210 :rule trans :premises (@p209 @p203)) % 45.61/45.81 (step @p211 :rule symm :premises (@p210)) % 45.61/45.81 (assume-push @p275 @t123) % 45.61/45.81 (step @p213 :rule evaluate :args ((not true))) % 45.61/45.81 (step @p214 :rule evaluate :args ((>= 0 0))) % 45.61/45.81 (step @p215 :rule evaluate :args ((+ 2 -1 -1))) % 45.61/45.81 (step @p216 :rule evaluate :args (@t124)) % 45.61/45.81 (step @p217 :rule refl :args (2)) % 45.61/45.81 (step @p218 :rule nary_cong :premises (@p217 @p216 @p216) :args (@t125)) % 45.61/45.81 (step @p219 :rule trans :premises (@p218 @p215)) % 45.61/45.81 (step @p220 :rule arith_poly_norm :args ((= (+ @t73 @t105 @t113) 0))) % 45.61/45.81 (step @p221 :rule arith_poly_norm :args ((= @t126 @t113))) % 45.61/45.81 (step @p222 :rule refl :args (@t105)) % 45.61/45.81 (step @p223 :rule refl :args (@t73)) % 45.61/45.81 (step @p224 :rule nary_cong :premises (@p223 @p222 @p221) :args (@t127)) % 45.61/45.81 (step @p225 :rule trans :premises (@p224 @p220)) % 45.61/45.81 (step @p226 :rule cong :premises (@p225 @p219) :args (@t128)) % 45.61/45.81 (step @p227 :rule trans :premises (@p226 @p214)) % 45.61/45.81 (step @p228 :rule cong :premises (@p227) :args ((not @t128))) % 45.61/45.81 (step @p229 :rule trans :premises (@p228 @p213)) % 45.61/45.81 (step @p230 :rule arith-elim-lt :args (@t127 @t125)) % 45.61/45.81 (step @p231 :rule trans :premises (@p230 @p229)) % 45.61/45.81 (step @p232 :rule arith_mult_neg :args (-1 @t107)) % 45.61/45.81 (step @p233 :rule evaluate :args ((< -1 0))) % 45.61/45.81 (step @p234 :rule true_elim :premises (@p233)) % 45.61/45.81 (step @p235 :rule and_intro :premises (@p234 @p184)) % 45.61/45.81 (step @p236 :rule modus_ponens :premises (@p235 @p232)) % 45.61/45.81 (step @p237 :rule arith_mult_neg :args (-1 @t120)) % 45.61/45.81 (step @p238 :rule and_intro :premises (@p234 @p200)) % 45.61/45.81 (step @p239 :rule modus_ponens :premises (@p238 @p237)) % 45.61/45.81 (step @p240 :rule symm :premises (@p208)) % 45.61/45.81 (step @p241 :rule chain_m_resolution :premises (@p108 @p107) :args (@t85 @t86 @t87)) % 45.61/45.82 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 45.61/45.82 (step @p243 :rule arith_sum_ub :premises (@p242 @p239 @p236)) % 45.61/45.82 (step @p244 false :rule eq_resolve :premises (@p243 @p231)) % 45.61/45.82 (step-pop @p276 :rule scope :premises (@p244)) % 45.61/45.82 (step @p245 :rule process_scope :premises (@p276) :args (false)) % 45.61/45.82 (step @p247 :rule eq_resolve :premises (@p245 @p210)) % 45.61/45.82 (step @p248 :rule eq_resolve :premises (@p247 @p211)) % 45.61/45.82 (step @p240 :rule symm :premises (@p208)) % 45.61/45.82 (step @p249 :rule eq_resolve :premises (@p109 @p240)) % 45.61/45.82 (step @p250 false :rule contra :premises (@p249 @p248)) % 45.61/45.82 (step-pop @p277 :rule scope :premises (@p250)) % 45.61/45.82 (step-pop @p278 :rule scope :premises (@p277)) % 45.61/45.82 (step-pop @p279 :rule scope :premises (@p278)) % 45.61/45.82 (step @p251 :rule process_scope :premises (@p279) :args (false)) % 45.61/45.82 (assume-push @p280 @t85) % 45.61/45.82 (assume-push @p281 @t107) % 45.61/45.82 (assume-push @p282 @t120) % 45.61/45.82 (step @p258 :rule and_intro :premises (@p184 @p200 @p109)) % 45.61/45.82 (step-pop @p283 :rule scope :premises (@p258)) % 45.61/45.82 (step-pop @p284 :rule scope :premises (@p283)) % 45.61/45.82 (step-pop @p285 :rule scope :premises (@p284)) % 45.61/45.82 (step @p259 :rule process_scope :premises (@p285) :args (@t129)) % 45.61/45.82 (step @p263 :rule implies_elim :premises (@p259)) % 45.61/45.82 (step @p264 :rule resolution :premises (@p263 @p251) :args (true @t129)) % 45.61/45.82 (step @p265 :rule not_and :premises (@p264)) % 45.61/45.82 (step @p266 :rule eq_resolve :premises (@p265 @p204)) % 45.61/45.82 (step @p267 false :rule chain_m_resolution :premises (@p266 @p200 @p184 @p109) :args (false (@list false false true) (@list @t120 @t107 @t74))) % 45.61/45.82 ) % 45.61/45.82 % SZS output end Proof % 45.61/45.82 % cvc5 exiting %------------------------------------------------------------------------------