%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT026_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 : n018.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 45.80s % Output : Proof 45.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT026_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 % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 22:26:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_ARI % 45.61/45.80 --- Run --finite-model-find --decision=internal at 45... % 45.61/45.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.61/45.80 % SZS status Theorem % 45.61/45.80 % SZS output start Proof % 45.61/45.80 ( % 45.61/45.80 (declare-sort tptp.collection 0) % 45.61/45.80 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 45.61/45.80 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 45.61/45.80 (declare-const tptp.in (-> Int tptp.collection Bool)) % 45.61/45.80 (declare-const tptp.empty tptp.collection) % 45.61/45.80 (define @t1 () (@var "U" Int)) % 45.61/45.80 (define @t2 () (@var "W" tptp.collection)) % 45.61/45.80 (define @t3 () (@var "V" Int)) % 45.61/45.80 (define @t4 () (@var "Y" tptp.collection)) % 45.61/45.80 (define @t5 () (@var "X" Int)) % 45.61/45.80 (define @t6 () (@var "X1" tptp.collection)) % 45.61/45.80 (define @t7 () (@var "X2" Int)) % 45.61/45.80 (define @t8 () (@var "Z" Int)) % 45.61/45.80 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 45.61/45.80 (define @t10 () (@var "X4" tptp.collection)) % 45.61/45.80 (define @t11 () (@var "X5" Int)) % 45.61/45.80 (define @t12 () (@var "X3" Int)) % 45.61/45.80 (define @t13 () (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 45.61/45.80 (define @t14 () (@var "Y" Int)) % 45.61/45.80 (define @t15 () (@var "U" tptp.collection)) % 45.61/45.80 (define @t16 () (tptp.in @t14 @t15)) % 45.61/45.80 (define @t17 () (=> @t16 (> @t14 0))) % 45.61/45.80 (define @t18 () (@list @t14)) % 45.61/45.80 (define @t19 () (forall @t18 @t17)) % 45.61/45.80 (define @t20 () (@var "V" tptp.collection)) % 45.61/45.80 (define @t21 () (@var "W" Int)) % 45.61/45.80 (define @t22 () (tptp.remove @t21 @t20)) % 45.61/45.80 (define @t23 () (+ @t21 2)) % 45.61/45.80 (define @t24 () (tptp.add @t23 @t22)) % 45.61/45.80 (define @t25 () (= @t15 @t24)) % 45.61/45.80 (define @t26 () (tptp.in @t21 @t20)) % 45.61/45.80 (define @t27 () (tptp.in @t5 @t20)) % 45.61/45.80 (define @t28 () (=> @t27 (> @t5 0))) % 45.61/45.80 (define @t29 () (@list @t5)) % 45.61/45.80 (define @t30 () (forall @t29 @t28)) % 45.61/45.80 (define @t31 () (and @t30 @t26 @t25)) % 45.61/45.80 (define @t32 () (=> @t31 @t19)) % 45.61/45.80 (define @t33 () (@list @t15 @t20 @t21)) % 45.61/45.80 (define @t34 () (forall @t33 @t32)) % 45.61/45.80 (define @t35 () (not @t34)) % 45.61/45.80 (define @t36 () (@var "BOUND_VARIABLE_7512" Int)) % 45.61/45.80 (define @t37 () (>= @t36 1)) % 45.61/45.80 (define @t38 () (+ 2 @t21)) % 45.61/45.80 (define @t39 () (tptp.add @t38 @t22)) % 45.61/45.80 (define @t40 () (not (tptp.in @t36 @t39))) % 45.61/45.80 (define @t41 () (not @t26)) % 45.61/45.80 (define @t42 () (>= @t5 1)) % 45.61/45.80 (define @t43 () (forall @t29 (or (not @t27) @t42))) % 45.61/45.80 (define @t44 () (not @t43)) % 45.61/45.80 (define @t45 () (or @t44 @t41 @t40 @t37)) % 45.61/45.80 (define @t46 () (not (= @t39 @t39))) % 45.61/45.80 (define @t47 () (or @t44 @t41 @t46 @t40 @t37)) % 45.61/45.80 (define @t48 () (@list @t20 @t21 @t36)) % 45.61/45.80 (define @t49 () (not (tptp.in @t36 @t15))) % 45.61/45.80 (define @t50 () (= @t15 @t39)) % 45.61/45.80 (define @t51 () (not @t50)) % 45.61/45.80 (define @t52 () (or @t51 @t44 @t41 @t51 @t49 @t37)) % 45.61/45.80 (define @t53 () (@list @t15)) % 45.61/45.80 (define @t54 () (or @t44 @t41 @t51 @t49 @t37)) % 45.61/45.80 (define @t55 () (forall @t53 @t54)) % 45.61/45.80 (define @t56 () (forall @t48 @t55)) % 45.61/45.80 (define @t57 () (forall (@list @t20 @t21 @t36 @t15) @t54)) % 45.61/45.80 (define @t58 () (@list @t15 @t20 @t21 @t36)) % 45.61/45.80 (define @t59 () (or @t49 @t37)) % 45.61/45.80 (define @t60 () (or @t44 @t41 @t51 @t59)) % 45.61/45.80 (define @t61 () (forall @t58 @t60)) % 45.61/45.80 (define @t62 () (@list @t36)) % 45.61/45.80 (define @t63 () (forall @t62 @t60)) % 45.61/45.80 (define @t64 () (forall @t62 @t59)) % 45.61/45.80 (define @t65 () (or @t44 @t41 @t51 @t64)) % 45.61/45.80 (define @t66 () (>= @t14 1)) % 45.61/45.80 (define @t67 () (forall @t18 (or (not @t16) @t66))) % 45.61/45.80 (define @t68 () (or @t44 @t41 @t51 @t67)) % 45.61/45.80 (define @t69 () (or @t44 @t41 @t51)) % 45.61/45.80 (define @t70 () (and @t43 @t26 @t50)) % 45.61/45.80 (define @t71 () (+ 0 1)) % 45.61/45.80 (define @t72 () (>= @t14 @t71)) % 45.61/45.80 (define @t73 () (>= @t5 @t71)) % 45.61/45.80 (define @t74 () (forall @t48 @t45)) % 45.61/45.80 (define @t75 () (@quantifiers_skolemize @t74 0)) % 45.61/45.80 (define @t76 () (forall @t29 (or (not (tptp.in @t5 @t75)) @t42))) % 45.61/45.80 (define @t77 () (@quantifiers_skolemize @t74 2)) % 45.61/45.80 (define @t78 () (>= @t77 1)) % 45.61/45.80 (define @t79 () (@quantifiers_skolemize @t74 1)) % 45.61/45.80 (define @t80 () (tptp.remove @t79 @t75)) % 45.61/45.80 (define @t81 () (+ 2 @t79)) % 45.61/45.80 (define @t82 () (tptp.in @t77 (tptp.add @t81 @t80))) % 45.61/45.80 (define @t83 () (not @t82)) % 45.61/45.80 (define @t84 () (tptp.in @t79 @t75)) % 45.61/45.80 (define @t85 () (not @t84)) % 45.61/45.80 (define @t86 () (not @t76)) % 45.61/45.80 (define @t87 () (or @t86 @t85 @t83 @t78)) % 45.61/45.80 (define @t88 () (@list true)) % 45.61/45.80 (define @t89 () (@list @t87)) % 45.61/45.80 (define @t90 () (= @t79 @t77)) % 45.61/45.80 (define @t91 () (= @t77 @t79)) % 45.61/45.80 (define @t92 () (not @t91)) % 45.61/45.80 (define @t93 () (tptp.in @t77 @t75)) % 45.61/45.80 (define @t94 () (and @t93 @t92)) % 45.61/45.80 (define @t95 () (tptp.in @t77 @t80)) % 45.61/45.80 (define @t96 () (= @t94 @t95)) % 45.61/45.80 (define @t97 () (and @t93 (not @t90))) % 45.61/45.80 (define @t98 () (= @t95 @t97)) % 45.61/45.80 (define @t99 () (@list false)) % 45.61/45.80 (define @t100 () (+ -2 @t77)) % 45.61/45.80 (define @t101 () (- @t79 @t100)) % 45.61/45.80 (define @t102 () (= @t79 @t100)) % 45.61/45.80 (define @t103 () (= @t77 @t81)) % 45.61/45.80 (define @t104 () (or @t95 @t103)) % 45.61/45.80 (define @t105 () (= @t104 @t82)) % 45.61/45.80 (define @t106 () (or @t95 @t102)) % 45.61/45.80 (define @t107 () (= @t82 @t106)) % 45.61/45.80 (define @t108 () (@list false false)) % 45.61/45.80 (define @t109 () (>= @t79 1)) % 45.61/45.80 (define @t110 () (or @t85 @t109)) % 45.61/45.80 (define @t111 () (not @t78)) % 45.61/45.80 (define @t112 () (not @t109)) % 45.61/45.80 (define @t113 () (not @t102)) % 45.61/45.80 (define @t114 () (* -1 @t77)) % 45.61/45.80 (define @t115 () (+ @t79 @t114)) % 45.61/45.80 (define @t116 () (= @t115 -2)) % 45.61/45.80 (define @t117 () (* -1 1)) % 45.61/45.80 (define @t118 () (+ -2 1 @t117)) % 45.61/45.80 (define @t119 () (* -1 @t79)) % 45.61/45.80 (define @t120 () (+ @t119 @t114 @t77 @t79)) % 45.61/45.80 (define @t121 () (+ @t115 @t77 @t119)) % 45.61/45.80 (define @t122 () (>= @t121 @t118)) % 45.61/45.80 (define @t123 () (and @t109 @t111 @t102)) % 45.61/45.80 (define @t124 () (@list true false)) % 45.61/45.80 (define @t125 () (not @t93)) % 45.61/45.80 (define @t126 () (or @t125 @t78)) % 45.61/45.80 (define @t127 () (not @t126)) % 45.61/45.80 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 45.61/45.80 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 45.61/45.80 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 45.61/45.80 (assume @p4 @t9) % 45.61/45.80 (assume @p5 @t13) % 45.61/45.80 (assume @p6 @t35) % 45.61/45.80 (assume @p7 true) % 45.61/45.80 (step @p8 :rule aci_norm :args ((= (or @t44 @t41 false @t40 @t37) @t45))) % 45.61/45.80 (step @p9 :rule refl :args (@t37)) % 45.61/45.80 (step @p10 :rule refl :args (@t40)) % 45.61/45.80 (step @p11 :rule evaluate :args ((not true))) % 45.61/45.80 (step @p12 :rule eq-refl :args (@t39)) % 45.61/45.80 (step @p13 :rule cong :premises (@p12) :args (@t46)) % 45.61/45.80 (step @p14 :rule trans :premises (@p13 @p11)) % 45.61/45.80 (step @p15 :rule refl :args (@t41)) % 45.61/45.80 (step @p16 :rule refl :args (@t44)) % 45.61/45.80 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14 @p10 @p9) :args (@t47)) % 45.61/45.80 (step @p18 :rule trans :premises (@p17 @p8)) % 45.61/45.80 (step @p19 :rule cong :premises (@p18) :args ((forall @t48 @t47))) % 45.61/45.80 (step @p20 :rule quant-var-elim-eq :args ((= (forall @t53 @t52) @t47))) % 45.61/45.80 (step @p21 :rule aci_norm :args ((= @t54 @t52))) % 45.61/45.80 (step @p22 :rule cong :premises (@p21) :args (@t55)) % 45.61/45.80 (step @p23 :rule trans :premises (@p22 @p20)) % 45.61/45.80 (step @p24 :rule cong :premises (@p23) :args (@t56)) % 45.61/45.80 (step @p25 :rule quant-merge-prenex :args ((= @t56 @t57))) % 45.61/45.80 (step @p26 :rule symm :premises (@p25)) % 45.61/45.80 (step @p27 :rule quant_var_reordering :args ((= (forall @t58 @t54) @t57))) % 45.61/45.80 (step @p28 :rule trans :premises (@p27 @p26 @p24)) % 45.61/45.80 (step @p29 :rule trans :premises (@p28 @p19)) % 45.61/45.80 (step @p30 :rule aci_norm :args ((= @t60 @t54))) % 45.61/45.80 (step @p31 :rule cong :premises (@p30) :args (@t61)) % 45.61/45.80 (step @p32 :rule trans :premises (@p31 @p29)) % 45.61/45.80 (step @p33 :rule quant-merge-prenex :args ((= (forall @t33 @t63) @t61))) % 45.61/45.80 (step @p34 :rule alpha_equiv :args (@t64 (@list @t36) (@list @t14))) % 45.61/45.80 (step @p35 :rule refl :args (@t51)) % 45.61/45.80 (step @p36 :rule refl :args (@t41)) % 45.61/45.80 (step @p37 :rule refl :args (@t44)) % 45.61/45.80 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p34) :args (@t65)) % 45.61/45.80 (step @p39 :rule quant-miniscope-or :args ((= @t63 @t65))) % 45.61/45.80 (step @p40 :rule trans :premises (@p39 @p38)) % 45.61/45.80 (step @p41 :rule symm :premises (@p40)) % 45.61/45.80 (step @p42 :rule cong :premises (@p41) :args ((forall @t33 @t68))) % 45.61/45.80 (step @p43 :rule trans :premises (@p42 @p33)) % 45.61/45.80 (step @p44 :rule trans :premises (@p43 @p32)) % 45.61/45.80 (step @p45 :rule aci_norm :args ((= (or @t69 @t67) @t68))) % 45.61/45.80 (step @p46 :rule refl :args (@t67)) % 45.61/45.80 (step @p47 :rule aci_norm :args ((= (or @t44 (or @t41 @t51)) @t69))) % 45.61/45.80 (step @p48 :rule bool-and-de-morgan :args (@t26 @t50 true)) % 45.61/45.80 (step @p49 :rule nary_cong :premises (@p37 @p48) :args ((or @t44 (not (and @t26 @t50))))) % 45.61/45.80 (step @p50 :rule bool-and-de-morgan :args (@t43 @t26 (and @t50))) % 45.61/45.80 (step @p51 :rule trans :premises (@p50 @p49)) % 45.61/45.80 (step @p52 :rule trans :premises (@p51 @p47)) % 45.61/45.80 (step @p53 :rule nary_cong :premises (@p52 @p46) :args ((or (not @t70) @t67))) % 45.61/45.80 (step @p54 :rule trans :premises (@p53 @p45)) % 45.61/45.80 (step @p55 :rule bool-impl-elim :args (@t70 @t67)) % 45.61/45.80 (step @p56 :rule trans :premises (@p55 @p54)) % 45.61/45.80 (step @p57 :rule cong :premises (@p56) :args ((forall @t33 (=> @t70 @t67)))) % 45.61/45.80 (step @p58 :rule trans :premises (@p57 @p44)) % 45.61/45.80 (step @p59 :rule bool-impl-elim :args (@t16 @t66)) % 45.61/45.80 (step @p60 :rule cong :premises (@p59) :args ((forall @t18 (=> @t16 @t66)))) % 45.61/45.80 (step @p61 :rule bool-double-not-elim :args (@t66)) % 45.61/45.80 (step @p62 :rule evaluate :args (@t71)) % 45.61/45.80 (step @p63 :rule refl :args (@t14)) % 45.61/45.80 (step @p64 :rule cong :premises (@p63 @p62) :args (@t72)) % 45.61/45.80 (step @p65 :rule cong :premises (@p64) :args ((not @t72))) % 45.61/45.80 (step @p66 :rule arith-leq-norm :args (@t14 0)) % 45.61/45.80 (step @p67 :rule trans :premises (@p66 @p65)) % 45.61/45.80 (step @p68 :rule cong :premises (@p67) :args ((not (<= @t14 0)))) % 45.61/45.80 (step @p69 :rule trans :premises (@p68 @p61)) % 45.61/45.80 (step @p70 :rule arith-elim-leq :args (@t14 0)) % 45.61/45.80 (step @p71 :rule symm :premises (@p70)) % 45.61/45.80 (step @p72 :rule cong :premises (@p71) :args ((not (>= 0 @t14)))) % 45.61/45.80 (step @p73 :rule arith-elim-gt :args (@t14 0)) % 45.61/45.80 (step @p74 :rule trans :premises (@p73 @p72)) % 45.61/45.80 (step @p75 :rule trans :premises (@p74 @p69)) % 45.61/45.80 (step @p76 :rule refl :args (@t16)) % 45.61/45.80 (step @p77 :rule cong :premises (@p76 @p75) :args (@t17)) % 45.61/45.80 (step @p78 :rule cong :premises (@p77) :args (@t19)) % 45.61/45.80 (step @p79 :rule trans :premises (@p78 @p60)) % 45.61/45.80 (step @p80 :rule refl :args (@t22)) % 45.61/45.80 (step @p81 :rule arith_poly_norm :args ((= @t23 @t38))) % 45.61/45.80 (step @p82 :rule cong :premises (@p81 @p80) :args (@t24)) % 45.61/45.80 (step @p83 :rule refl :args (@t15)) % 45.61/45.80 (step @p84 :rule cong :premises (@p83 @p82) :args (@t25)) % 45.61/45.80 (step @p85 :rule refl :args (@t26)) % 45.61/45.80 (step @p86 :rule bool-impl-elim :args (@t27 @t42)) % 45.61/45.80 (step @p87 :rule cong :premises (@p86) :args ((forall @t29 (=> @t27 @t42)))) % 45.61/45.80 (step @p88 :rule bool-double-not-elim :args (@t42)) % 45.61/45.80 (step @p89 :rule refl :args (@t5)) % 45.61/45.80 (step @p90 :rule cong :premises (@p89 @p62) :args (@t73)) % 45.61/45.80 (step @p91 :rule cong :premises (@p90) :args ((not @t73))) % 45.61/45.80 (step @p92 :rule arith-leq-norm :args (@t5 0)) % 45.61/45.80 (step @p93 :rule trans :premises (@p92 @p91)) % 45.61/45.80 (step @p94 :rule cong :premises (@p93) :args ((not (<= @t5 0)))) % 45.61/45.80 (step @p95 :rule trans :premises (@p94 @p88)) % 45.61/45.80 (step @p96 :rule arith-elim-leq :args (@t5 0)) % 45.61/45.80 (step @p97 :rule symm :premises (@p96)) % 45.61/45.80 (step @p98 :rule cong :premises (@p97) :args ((not (>= 0 @t5)))) % 45.61/45.80 (step @p99 :rule arith-elim-gt :args (@t5 0)) % 45.61/45.80 (step @p100 :rule trans :premises (@p99 @p98)) % 45.61/45.80 (step @p101 :rule trans :premises (@p100 @p95)) % 45.61/45.80 (step @p102 :rule refl :args (@t27)) % 45.61/45.80 (step @p103 :rule cong :premises (@p102 @p101) :args (@t28)) % 45.61/45.80 (step @p104 :rule cong :premises (@p103) :args (@t30)) % 45.61/45.80 (step @p105 :rule trans :premises (@p104 @p87)) % 45.61/45.80 (step @p106 :rule nary_cong :premises (@p105 @p85 @p84) :args (@t31)) % 45.61/45.80 (step @p107 :rule cong :premises (@p106 @p79) :args (@t32)) % 45.61/45.80 (step @p108 :rule cong :premises (@p107) :args (@t34)) % 45.61/45.80 (step @p109 :rule trans :premises (@p108 @p58)) % 45.61/45.80 (step @p110 :rule cong :premises (@p109) :args (@t35)) % 45.61/45.80 (step @p111 :rule eq_resolve :premises (@p6 @p110)) % 45.61/45.80 (step @p112 :rule skolemize :premises (@p111)) % 45.61/45.80 (step @p113 :rule bool-double-not-elim :args (@t76)) % 45.61/45.80 (step @p114 :rule refl :args (@t87)) % 45.61/45.80 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t87 (not @t86)))) % 45.61/45.80 (step @p116 :rule cnf_or_neg :args (@t87 0)) % 45.61/45.80 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 45.61/45.80 (step @p118 :rule reordering :premises (@p117) :args ((or @t76 @t87))) % 45.61/45.80 (step @p119 :rule chain_m_resolution :premises (@p118 @p112) :args (@t76 @t88 @t89)) % 45.61/45.80 (step @p120 :rule arith_poly_norm :args ((= (* 1 (- @t77 @t79)) (* -1 (- @t79 @t77))))) % 45.61/45.80 (step @p121 :rule arith_poly_norm_rel :premises (@p120) :args ((= @t91 @t90))) % 45.61/45.80 (step @p122 :rule cong :premises (@p121) :args (@t92)) % 45.61/45.80 (step @p123 :rule refl :args (@t93)) % 45.61/45.80 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t94)) % 45.61/45.80 (step @p125 :rule refl :args (@t95)) % 45.61/45.80 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t95 @t94))) % 45.61/45.80 (step @p127 :rule eq-symm :args (@t94 @t95)) % 45.61/45.80 (step @p128 :rule trans :premises (@p127 @p126)) % 45.61/45.80 (step @p129 :rule refl :args (@t13)) % 45.61/45.80 (step @p130 :rule cong :premises (@p129 @p128) :args ((=> @t13 @t96))) % 45.61/45.80 (assume-push @p251 @t13) % 45.61/45.80 (step @p132 :rule instantiate :premises (@p5) :args ((@list @t77 @t75 @t79))) % 45.61/45.80 (step-pop @p252 :rule scope :premises (@p132)) % 45.61/45.80 (step @p133 :rule process_scope :premises (@p252) :args (@t96)) % 45.61/45.80 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 45.61/45.80 (step @p136 :rule implies_elim :premises (@p135)) % 45.61/45.80 (step @p137 :rule chain_m_resolution :premises (@p136 @p5) :args (@t98 @t99 (@list @t13))) % 45.61/45.80 (step @p138 :rule arith_poly_norm :args ((= (* 2 (- @t77 @t81)) (* -2 @t101)))) % 45.61/45.80 (step @p139 :rule arith_poly_norm_rel :premises (@p138) :args ((= @t103 @t102))) % 45.61/45.80 (step @p140 :rule nary_cong :premises (@p125 @p139) :args (@t104)) % 45.61/45.80 (step @p141 :rule refl :args (@t82)) % 45.61/45.80 (step @p142 :rule cong :premises (@p141 @p140) :args ((= @t82 @t104))) % 45.61/45.80 (step @p143 :rule eq-symm :args (@t104 @t82)) % 45.61/45.80 (step @p144 :rule trans :premises (@p143 @p142)) % 45.61/45.80 (step @p145 :rule refl :args (@t9)) % 45.61/45.80 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t9 @t105))) % 45.61/45.80 (assume-push @p253 @t9) % 45.61/45.80 (step @p148 :rule instantiate :premises (@p4) :args ((@list @t77 @t80 @t81))) % 45.61/45.80 (step-pop @p254 :rule scope :premises (@p148)) % 45.61/45.80 (step @p149 :rule process_scope :premises (@p254) :args (@t105)) % 45.61/45.80 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 45.61/45.80 (step @p152 :rule implies_elim :premises (@p151)) % 45.61/45.80 (step @p153 :rule chain_m_resolution :premises (@p152 @p4) :args (@t107 @t99 (@list @t9))) % 45.61/45.80 (step @p154 :rule bool-double-not-elim :args (@t82)) % 45.61/45.80 (step @p155 :rule nary_cong :premises (@p114 @p154) :args ((or @t87 (not @t83)))) % 45.61/45.80 (step @p156 :rule cnf_or_neg :args (@t87 2)) % 45.61/45.80 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 45.61/45.80 (step @p158 :rule reordering :premises (@p157) :args ((or @t82 @t87))) % 45.61/45.80 (step @p159 :rule chain_m_resolution :premises (@p158 @p112) :args (@t82 @t88 @t89)) % 45.61/45.80 (step @p160 :rule cnf_equiv_pos1 :args (@t107)) % 45.61/45.80 (step @p161 :rule reordering :premises (@p160) :args ((or @t83 @t106 (not @t107)))) % 45.61/45.80 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p153) :args (@t106 @t108 (@list @t82 @t107))) % 45.61/45.80 (step @p163 :rule instantiate :premises (@p119) :args ((@list @t79))) % 45.61/45.80 (step @p164 :rule bool-double-not-elim :args (@t84)) % 45.61/45.80 (step @p165 :rule nary_cong :premises (@p114 @p164) :args ((or @t87 (not @t85)))) % 45.61/45.80 (step @p166 :rule cnf_or_neg :args (@t87 1)) % 45.61/45.80 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 45.61/45.80 (step @p168 :rule reordering :premises (@p167) :args ((or @t84 @t87))) % 45.61/45.80 (step @p169 :rule chain_m_resolution :premises (@p168 @p112) :args (@t84 @t88 @t89)) % 45.61/45.80 (step @p170 :rule cnf_or_pos :args (@t110)) % 45.61/45.80 (step @p171 :rule reordering :premises (@p170) :args ((or @t85 @t109 (not @t110)))) % 45.61/45.80 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p163) :args (@t109 @t108 (@list @t84 @t110))) % 45.61/45.80 (step @p173 :rule cnf_or_neg :args (@t87 3)) % 45.61/45.80 (step @p174 :rule chain_m_resolution :premises (@p173 @p112) :args (@t111 @t88 @t89)) % 45.61/45.80 (step @p175 :rule refl :args (@t112)) % 45.61/45.80 (step @p176 :rule refl :args (@t113)) % 45.61/45.80 (step @p177 :rule bool-double-not-elim :args (@t78)) % 45.61/45.80 (step @p178 :rule nary_cong :premises (@p177 @p176 @p175) :args ((or (not @t111) @t113 @t112))) % 45.61/45.80 (assume-push @p255 @t109) % 45.61/45.80 (assume-push @p256 @t111) % 45.61/45.80 (assume-push @p257 @t102) % 45.61/45.80 (assume-push @p258 @t116) % 45.61/45.80 (step @p183 :rule evaluate :args ((>= 0 -2))) % 45.61/45.80 (step @p184 :rule evaluate :args ((+ -2 1 -1))) % 45.61/45.80 (step @p185 :rule evaluate :args (@t117)) % 45.61/45.80 (step @p186 :rule refl :args (1)) % 45.61/45.80 (step @p187 :rule refl :args (-2)) % 45.61/45.80 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185) :args (@t118)) % 45.61/45.80 (step @p189 :rule trans :premises (@p188 @p184)) % 45.61/45.80 (step @p190 :rule arith_poly_norm :args ((= @t120 0))) % 45.61/45.80 (step @p191 :rule arith_poly_norm :args ((= @t121 @t120))) % 45.61/45.80 (step @p192 :rule trans :premises (@p191 @p190)) % 45.61/45.80 (step @p193 :rule cong :premises (@p192 @p189) :args (@t122)) % 45.61/45.80 (step @p194 :rule trans :premises (@p193 @p183)) % 45.61/45.80 (step @p195 :rule cong :premises (@p194) :args ((not @t122))) % 45.61/45.80 (step @p196 :rule trans :premises (@p195 @p11)) % 45.61/45.80 (step @p197 :rule arith-elim-lt :args (@t121 @t118)) % 45.61/45.80 (step @p198 :rule trans :premises (@p197 @p196)) % 45.61/45.80 (step @p199 :rule arith_mult_neg :args (-1 @t109)) % 45.61/45.80 (step @p200 :rule evaluate :args ((< -1 0))) % 45.61/45.80 (step @p201 :rule true_elim :premises (@p200)) % 45.61/45.80 (step @p202 :rule and_intro :premises (@p201 @p172)) % 45.61/45.80 (step @p203 :rule modus_ponens :premises (@p202 @p199)) % 45.61/45.80 (step @p204 :rule arith-elim-lt :args (@t77 1)) % 45.61/45.80 (step @p205 :rule symm :premises (@p204)) % 45.61/45.80 (step @p206 :rule eq_resolve :premises (@p174 @p205)) % 45.61/45.80 (step @p207 :rule arith_sum_ub :premises (@p258 @p206 @p203)) % 45.61/45.80 (step @p208 false :rule eq_resolve :premises (@p207 @p198)) % 45.61/45.80 (step-pop @p259 :rule scope :premises (@p208)) % 45.61/45.80 (step @p209 :rule process_scope :premises (@p259) :args (false)) % 45.61/45.80 (step @p211 :rule arith_poly_norm :args ((= (* 2 (- @t115 -2)) (* 2 @t101)))) % 45.61/45.80 (step @p212 :rule arith_poly_norm_rel :premises (@p211) :args ((= @t116 @t102))) % 45.61/45.80 (step @p213 :rule symm :premises (@p212)) % 45.61/45.80 (step @p214 :rule eq_resolve :premises (@p257 @p213)) % 45.61/45.80 (step @p215 false :rule contra :premises (@p214 @p209)) % 45.61/45.80 (step-pop @p260 :rule scope :premises (@p215)) % 45.61/45.80 (step-pop @p261 :rule scope :premises (@p260)) % 45.61/45.80 (step-pop @p262 :rule scope :premises (@p261)) % 45.61/45.80 (step @p216 :rule process_scope :premises (@p262) :args (false)) % 45.61/45.80 (assume-push @p263 @t111) % 45.61/45.80 (assume-push @p264 @t102) % 45.61/45.80 (assume-push @p265 @t109) % 45.61/45.80 (step @p223 :rule and_intro :premises (@p172 @p174 @p264)) % 45.61/45.80 (step-pop @p266 :rule scope :premises (@p223)) % 45.61/45.80 (step-pop @p267 :rule scope :premises (@p266)) % 45.61/45.80 (step-pop @p268 :rule scope :premises (@p267)) % 45.61/45.80 (step @p224 :rule process_scope :premises (@p268) :args (@t123)) % 45.61/45.80 (step @p228 :rule implies_elim :premises (@p224)) % 45.61/45.80 (step @p229 :rule resolution :premises (@p228 @p216) :args (true @t123)) % 45.61/45.80 (step @p230 :rule not_and :premises (@p229)) % 45.61/45.80 (step @p231 :rule eq_resolve :premises (@p230 @p178)) % 45.61/45.80 (step @p232 :rule chain_m_resolution :premises (@p231 @p174 @p172) :args (@t113 @t124 (@list @t78 @t109))) % 45.61/45.80 (step @p233 :rule cnf_or_pos :args (@t106)) % 45.61/45.80 (step @p234 :rule reordering :premises (@p233) :args ((or @t95 @t102 (not @t106)))) % 45.61/45.80 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p162) :args (@t95 @t124 (@list @t102 @t106))) % 45.61/45.80 (step @p236 :rule cnf_equiv_pos1 :args (@t98)) % 45.61/45.80 (step @p237 :rule reordering :premises (@p236) :args ((or (not @t95) @t97 (not @t98)))) % 45.61/45.80 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p137) :args (@t97 @t108 (@list @t95 @t98))) % 45.61/45.80 (step @p239 :rule cnf_and_pos :args (@t97 0)) % 45.61/45.80 (step @p240 :rule reordering :premises (@p239) :args ((or @t93 (not @t97)))) % 45.61/45.80 (step @p241 :rule chain_m_resolution :premises (@p240 @p238) :args (@t93 @t99 (@list @t97))) % 45.61/45.80 (step @p242 :rule cnf_or_pos :args (@t126)) % 45.61/45.80 (step @p243 :rule reordering :premises (@p242) :args ((or @t78 @t125 @t127))) % 45.61/45.80 (step @p244 :rule chain_m_resolution :premises (@p243 @p174 @p241) :args (@t127 @t124 (@list @t78 @t93))) % 45.61/45.80 (assume-push @p269 @t76) % 45.61/45.80 (step @p246 :rule instantiate :premises (@p119) :args ((@list @t77))) % 45.61/45.80 (step-pop @p270 :rule scope :premises (@p246)) % 45.61/45.80 (step @p247 :rule process_scope :premises (@p270) :args (@t126)) % 45.61/45.80 (step @p249 :rule implies_elim :premises (@p247)) % 45.61/45.80 (step @p250 false :rule chain_m_resolution :premises (@p249 @p244 @p119) :args (false @t124 (@list @t126 @t76))) % 45.61/45.80 ) % 45.61/45.80 % SZS output end Proof % 45.61/45.80 % cvc5 exiting %------------------------------------------------------------------------------