%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT036_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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:14:23 AM UTC 2026 % Result : Theorem 0.35s 45.98s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT036_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 : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 22:26:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.35/45.98 --- Run --finite-model-find --decision=internal at 45... % 0.35/45.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.35/45.98 % SZS status Theorem % 0.35/45.98 % SZS output start Proof % 0.35/45.98 ( % 0.35/45.98 (declare-sort tptp.collection 0) % 0.35/45.98 (declare-const tptp.count (-> tptp.collection Int)) % 0.35/45.98 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 0.35/45.98 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 0.35/45.98 (declare-const tptp.in (-> Int tptp.collection Bool)) % 0.35/45.98 (declare-const tptp.empty tptp.collection) % 0.35/45.98 (define @t1 () (@var "U" Int)) % 0.35/45.98 (define @t2 () (@var "W" tptp.collection)) % 0.35/45.98 (define @t3 () (@var "V" Int)) % 0.35/45.98 (define @t4 () (@var "Y" tptp.collection)) % 0.35/45.98 (define @t5 () (@var "X" Int)) % 0.35/45.98 (define @t6 () (@var "X1" tptp.collection)) % 0.35/45.98 (define @t7 () (@var "X2" Int)) % 0.35/45.98 (define @t8 () (@var "Z" Int)) % 0.35/45.98 (define @t9 () (@var "X4" tptp.collection)) % 0.35/45.98 (define @t10 () (@var "X5" Int)) % 0.35/45.98 (define @t11 () (@var "X3" Int)) % 0.35/45.98 (define @t12 () (@var "X6" tptp.collection)) % 0.35/45.98 (define @t13 () (@var "X7" tptp.collection)) % 0.35/45.98 (define @t14 () (@var "X9" tptp.collection)) % 0.35/45.98 (define @t15 () (tptp.count @t14)) % 0.35/45.98 (define @t16 () (+ @t15 1)) % 0.35/45.98 (define @t17 () (@var "X8" Int)) % 0.35/45.98 (define @t18 () (tptp.count (tptp.add @t17 @t14))) % 0.35/45.98 (define @t19 () (= @t18 @t16)) % 0.35/45.98 (define @t20 () (not (tptp.in @t17 @t14))) % 0.35/45.98 (define @t21 () (= @t20 @t19)) % 0.35/45.98 (define @t22 () (@list @t17 @t14)) % 0.35/45.98 (define @t23 () (forall @t22 @t21)) % 0.35/45.98 (define @t24 () (@var "X11" tptp.collection)) % 0.35/45.98 (define @t25 () (@var "X10" Int)) % 0.35/45.98 (define @t26 () (forall (@list @t25 @t24) (= (tptp.in @t25 @t24) (= (tptp.count (tptp.add @t25 @t24)) (tptp.count @t24))))) % 0.35/45.98 (define @t27 () (@var "X13" tptp.collection)) % 0.35/45.98 (define @t28 () (@var "X12" Int)) % 0.35/45.98 (define @t29 () (@var "X15" tptp.collection)) % 0.35/45.98 (define @t30 () (@var "X14" Int)) % 0.35/45.98 (define @t31 () (@var "X17" tptp.collection)) % 0.35/45.98 (define @t32 () (@var "X16" Int)) % 0.35/45.98 (define @t33 () (@var "U" tptp.collection)) % 0.35/45.98 (define @t34 () (tptp.count (tptp.add @t3 (tptp.add @t3 @t33)))) % 0.35/45.98 (define @t35 () (@var "W" Int)) % 0.35/45.98 (define @t36 () (tptp.count @t33)) % 0.35/45.98 (define @t37 () (+ @t36 @t35)) % 0.35/45.98 (define @t38 () (>= @t37 @t34)) % 0.35/45.98 (define @t39 () (=> (> @t35 0) @t38)) % 0.35/45.98 (define @t40 () (@list @t33 @t3 @t35)) % 0.35/45.98 (define @t41 () (forall @t40 @t39)) % 0.35/45.98 (define @t42 () (not @t41)) % 0.35/45.98 (define @t43 () (>= @t35 1)) % 0.35/45.98 (define @t44 () (+ @t35 @t36 (* -1 @t34))) % 0.35/45.98 (define @t45 () (>= @t44 0)) % 0.35/45.98 (define @t46 () (+ @t35 @t36)) % 0.35/45.98 (define @t47 () (+ 0 1)) % 0.35/45.98 (define @t48 () (>= @t35 @t47)) % 0.35/45.98 (define @t49 () (forall @t40 (or (not @t43) @t45))) % 0.35/45.98 (define @t50 () (@quantifiers_skolemize @t49 2)) % 0.35/45.98 (define @t51 () (>= @t50 1)) % 0.35/45.98 (define @t52 () (@quantifiers_skolemize @t49 0)) % 0.35/45.98 (define @t53 () (@quantifiers_skolemize @t49 1)) % 0.35/45.98 (define @t54 () (tptp.add @t53 @t52)) % 0.35/45.98 (define @t55 () (tptp.count (tptp.add @t53 @t54))) % 0.35/45.98 (define @t56 () (* -1 @t55)) % 0.35/45.98 (define @t57 () (tptp.count @t52)) % 0.35/45.98 (define @t58 () (+ @t50 @t57 @t56)) % 0.35/45.98 (define @t59 () (>= @t58 0)) % 0.35/45.98 (define @t60 () (not @t51)) % 0.35/45.98 (define @t61 () (or @t60 @t59)) % 0.35/45.98 (define @t62 () (@list true)) % 0.35/45.98 (define @t63 () (@list @t61)) % 0.35/45.98 (define @t64 () (not @t59)) % 0.35/45.98 (define @t65 () (@list @t53 @t52)) % 0.35/45.98 (define @t66 () (tptp.count @t54)) % 0.35/45.98 (define @t67 () (= @t55 @t66)) % 0.35/45.98 (define @t68 () (tptp.in @t53 @t54)) % 0.35/45.98 (define @t69 () (= @t68 @t67)) % 0.35/45.98 (define @t70 () (@list false false)) % 0.35/45.98 (define @t71 () (- @t57 @t66)) % 0.35/45.98 (define @t72 () (= @t57 @t66)) % 0.35/45.98 (define @t73 () (= @t66 @t57)) % 0.35/45.98 (define @t74 () (tptp.in @t53 @t52)) % 0.35/45.98 (define @t75 () (= @t74 @t73)) % 0.35/45.98 (define @t76 () (= @t74 @t72)) % 0.35/45.98 (define @t77 () (@list false)) % 0.35/45.98 (define @t78 () (+ 1 @t15)) % 0.35/45.98 (define @t79 () (+ -1 @t66)) % 0.35/45.98 (define @t80 () (- @t57 @t79)) % 0.35/45.98 (define @t81 () (+ 1 @t57)) % 0.35/45.98 (define @t82 () (= @t57 @t79)) % 0.35/45.98 (define @t83 () (= @t66 @t81)) % 0.35/45.98 (define @t84 () (not @t74)) % 0.35/45.98 (define @t85 () (= @t84 @t83)) % 0.35/45.98 (define @t86 () (forall @t22 (= @t20 (= @t18 @t78)))) % 0.35/45.98 (define @t87 () (= @t84 @t82)) % 0.35/45.98 (define @t88 () (not @t67)) % 0.35/45.98 (define @t89 () (not @t82)) % 0.35/45.98 (define @t90 () (not @t64)) % 0.35/45.98 (define @t91 () (* -1 @t66)) % 0.35/45.98 (define @t92 () (+ @t57 @t91)) % 0.35/45.98 (define @t93 () (= @t92 -1)) % 0.35/45.98 (define @t94 () (not true)) % 0.35/45.98 (define @t95 () (* -1 1)) % 0.35/45.98 (define @t96 () (* -1 -1)) % 0.35/45.98 (define @t97 () (+ @t96 0 @t95 0)) % 0.35/45.98 (define @t98 () (* -1 @t50)) % 0.35/45.98 (define @t99 () (= (+ @t98 0 @t56 @t55 0 @t50) 0)) % 0.35/45.98 (define @t100 () (* 0 @t57)) % 0.35/45.98 (define @t101 () (= @t100 0)) % 0.35/45.98 (define @t102 () (* 0 @t66)) % 0.35/45.98 (define @t103 () (= @t102 0)) % 0.35/45.98 (define @t104 () (+ @t98 @t102 @t56 @t55 @t100 @t50)) % 0.35/45.98 (define @t105 () (+ @t55 @t91)) % 0.35/45.98 (define @t106 () (+ (* -1 @t92) @t58 @t98 @t105)) % 0.35/45.98 (define @t107 () (= @t106 @t104)) % 0.35/45.98 (define @t108 () (>= @t106 @t97)) % 0.35/45.98 (define @t109 () (= (* 1 (- @t105 0)) (* 1 (- @t55 @t66)))) % 0.35/45.98 (define @t110 () (= (= @t105 0) @t67)) % 0.35/45.98 (define @t111 () (< -1 0)) % 0.35/45.98 (define @t112 () (and @t67 @t51 @t64 @t82)) % 0.35/45.98 (define @t113 () (not @t87)) % 0.35/45.98 (define @t114 () (not @t72)) % 0.35/45.98 (define @t115 () (= @t92 0)) % 0.35/45.98 (define @t116 () (* -1 0)) % 0.35/45.98 (define @t117 () (+ @t116 0 @t95 0)) % 0.35/45.98 (define @t118 () (>= @t106 @t117)) % 0.35/45.98 (define @t119 () (and @t67 @t51 @t64 @t72)) % 0.35/45.98 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 0.35/45.98 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 0.35/45.98 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 0.35/45.98 (assume @p4 (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 0.35/45.98 (assume @p5 (forall (@list @t11 @t9 @t10) (= (and (tptp.in @t11 @t9) (not (= @t11 @t10))) (tptp.in @t11 (tptp.remove @t10 @t9))))) % 0.35/45.98 (assume @p6 (forall (@list @t12) (>= (tptp.count @t12) 0))) % 0.35/45.98 (assume @p7 (forall (@list @t13) (= (= @t13 tptp.empty) (= (tptp.count @t13) 0)))) % 0.35/45.98 (assume @p8 @t23) % 0.35/45.98 (assume @p9 @t26) % 0.35/45.98 (assume @p10 (forall (@list @t28 @t27) (= (tptp.in @t28 @t27) (= (tptp.count (tptp.remove @t28 @t27)) (- (tptp.count @t27) 1))))) % 0.35/45.98 (assume @p11 (forall (@list @t30 @t29) (= (not (tptp.in @t30 @t29)) (= (tptp.count (tptp.remove @t30 @t29)) (tptp.count @t29))))) % 0.35/45.98 (assume @p12 (forall (@list @t32 @t31) (=> (tptp.in @t32 @t31) (= @t31 (tptp.add @t32 (tptp.remove @t32 @t31)))))) % 0.35/45.98 (assume @p13 @t42) % 0.35/45.98 (assume @p14 true) % 0.35/45.98 (step @p15 :rule bool-impl-elim :args (@t43 @t45)) % 0.35/45.98 (step @p16 :rule cong :premises (@p15) :args ((forall @t40 (=> @t43 @t45)))) % 0.35/45.98 (step @p17 :rule arith_poly_norm :args ((= (* 1 (- @t46 @t34)) (* 1 (- @t44 0))))) % 0.35/45.98 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= (>= @t46 @t34) @t45))) % 0.35/45.98 (step @p19 :rule refl :args (@t34)) % 0.35/45.98 (step @p20 :rule arith_poly_norm :args ((= @t37 @t46))) % 0.35/45.98 (step @p21 :rule cong :premises (@p20 @p19) :args (@t38)) % 0.35/45.98 (step @p22 :rule trans :premises (@p21 @p18)) % 0.35/45.98 (step @p23 :rule bool-double-not-elim :args (@t43)) % 0.35/45.98 (step @p24 :rule evaluate :args (@t47)) % 0.35/45.98 (step @p25 :rule refl :args (@t35)) % 0.35/45.98 (step @p26 :rule cong :premises (@p25 @p24) :args (@t48)) % 0.35/45.98 (step @p27 :rule cong :premises (@p26) :args ((not @t48))) % 0.35/45.98 (step @p28 :rule arith-leq-norm :args (@t35 0)) % 0.35/45.98 (step @p29 :rule trans :premises (@p28 @p27)) % 0.35/45.98 (step @p30 :rule cong :premises (@p29) :args ((not (<= @t35 0)))) % 0.35/45.98 (step @p31 :rule trans :premises (@p30 @p23)) % 0.35/45.98 (step @p32 :rule arith-elim-leq :args (@t35 0)) % 0.35/45.98 (step @p33 :rule symm :premises (@p32)) % 0.35/45.98 (step @p34 :rule cong :premises (@p33) :args ((not (>= 0 @t35)))) % 0.35/45.98 (step @p35 :rule arith-elim-gt :args (@t35 0)) % 0.35/45.98 (step @p36 :rule trans :premises (@p35 @p34)) % 0.35/45.98 (step @p37 :rule trans :premises (@p36 @p31)) % 0.35/45.98 (step @p38 :rule cong :premises (@p37 @p22) :args (@t39)) % 0.35/45.98 (step @p39 :rule cong :premises (@p38) :args (@t41)) % 0.35/45.98 (step @p40 :rule trans :premises (@p39 @p16)) % 0.35/45.98 (step @p41 :rule cong :premises (@p40) :args (@t42)) % 0.35/45.98 (step @p42 :rule eq_resolve :premises (@p13 @p41)) % 0.35/45.98 (step @p43 :rule skolemize :premises (@p42)) % 0.35/45.98 (step @p44 :rule bool-double-not-elim :args (@t51)) % 0.35/45.98 (step @p45 :rule refl :args (@t61)) % 0.35/45.98 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t61 (not @t60)))) % 0.35/45.98 (step @p47 :rule cnf_or_neg :args (@t61 0)) % 0.35/45.98 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.35/45.98 (step @p49 :rule reordering :premises (@p48) :args ((or @t51 @t61))) % 0.35/45.98 (step @p50 :rule chain_m_resolution :premises (@p49 @p43) :args (@t51 @t62 @t63)) % 0.35/45.98 (step @p51 :rule cnf_or_neg :args (@t61 1)) % 0.35/45.98 (step @p52 :rule chain_m_resolution :premises (@p51 @p43) :args (@t64 @t62 @t63)) % 0.35/45.98 (step @p53 :rule instantiate :premises (@p9) :args ((@list @t53 @t54))) % 0.35/45.98 (step @p54 :rule instantiate :premises (@p2) :args (@t65)) % 0.35/45.98 (step @p55 :rule cnf_equiv_pos1 :args (@t69)) % 0.35/45.98 (step @p56 :rule reordering :premises (@p55) :args ((or (not @t68) @t67 (not @t69)))) % 0.35/45.98 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p53) :args (@t67 @t70 (@list @t68 @t69))) % 0.35/45.98 (step @p58 :rule arith_poly_norm :args ((= (* 1 (- @t66 @t57)) (* -1 @t71)))) % 0.35/45.98 (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args ((= @t73 @t72))) % 0.35/45.98 (step @p60 :rule refl :args (@t74)) % 0.35/45.98 (step @p61 :rule cong :premises (@p60 @p59) :args (@t75)) % 0.35/45.98 (step @p62 :rule refl :args (@t26)) % 0.35/45.98 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t26 @t75))) % 0.35/45.98 (assume-push @p231 @t26) % 0.35/45.98 (step @p65 :rule instantiate :premises (@p9) :args (@t65)) % 0.35/45.98 (step-pop @p232 :rule scope :premises (@p65)) % 0.35/45.98 (step @p66 :rule process_scope :premises (@p232) :args (@t75)) % 0.35/45.98 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.35/45.98 (step @p69 :rule implies_elim :premises (@p68)) % 0.35/45.98 (step @p70 :rule chain_m_resolution :premises (@p69 @p9) :args (@t76 @t77 (@list @t26))) % 0.35/45.98 (step @p71 :rule arith_poly_norm :args ((= @t16 @t78))) % 0.35/45.98 (step @p72 :rule refl :args (@t18)) % 0.35/45.98 (step @p73 :rule cong :premises (@p72 @p71) :args (@t19)) % 0.35/45.98 (step @p74 :rule refl :args (@t20)) % 0.35/45.98 (step @p75 :rule cong :premises (@p74 @p73) :args (@t21)) % 0.35/45.98 (step @p76 :rule cong :premises (@p75) :args (@t23)) % 0.35/45.98 (step @p77 :rule eq_resolve :premises (@p8 @p76)) % 0.35/45.98 (step @p78 :rule arith_poly_norm :args ((= (* 1 (- @t66 @t81)) (* -1 @t80)))) % 0.35/45.98 (step @p79 :rule arith_poly_norm_rel :premises (@p78) :args ((= @t83 @t82))) % 0.35/45.98 (step @p80 :rule refl :args (@t84)) % 0.35/45.98 (step @p81 :rule cong :premises (@p80 @p79) :args (@t85)) % 0.35/45.98 (step @p82 :rule refl :args (@t86)) % 0.35/45.98 (step @p83 :rule cong :premises (@p82 @p81) :args ((=> @t86 @t85))) % 0.35/45.98 (assume-push @p233 @t86) % 0.35/45.98 (step @p85 :rule instantiate :premises (@p77) :args (@t65)) % 0.35/45.98 (step-pop @p234 :rule scope :premises (@p85)) % 0.35/45.98 (step @p86 :rule process_scope :premises (@p234) :args (@t85)) % 0.35/45.98 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 0.35/45.98 (step @p89 :rule implies_elim :premises (@p88)) % 0.35/45.98 (step @p90 :rule chain_m_resolution :premises (@p89 @p77) :args (@t87 @t77 (@list @t86))) % 0.35/45.98 (step @p91 :rule refl :args (@t88)) % 0.35/45.98 (step @p92 :rule refl :args (@t89)) % 0.35/45.98 (step @p93 :rule bool-double-not-elim :args (@t59)) % 0.35/45.98 (step @p94 :rule refl :args (@t60)) % 0.35/45.98 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91) :args ((or @t60 @t90 @t89 @t88))) % 0.35/45.98 (assume-push @p235 @t67) % 0.35/45.98 (assume-push @p236 @t51) % 0.35/45.98 (assume-push @p237 @t64) % 0.35/45.98 (assume-push @p238 @t82) % 0.35/45.98 (assume-push @p239 @t93) % 0.35/45.98 (step @p101 :rule evaluate :args (@t94)) % 0.35/45.98 (step @p102 :rule evaluate :args ((>= 0 0))) % 0.35/45.98 (step @p103 :rule evaluate :args ((+ 1 0 -1 0))) % 0.35/45.98 (step @p104 :rule refl :args (0)) % 0.35/45.98 (step @p105 :rule evaluate :args (@t95)) % 0.35/45.98 (step @p106 :rule evaluate :args (@t96)) % 0.35/45.98 (step @p107 :rule nary_cong :premises (@p106 @p104 @p105 @p104) :args (@t97)) % 0.35/45.98 (step @p108 :rule trans :premises (@p107 @p103)) % 0.35/45.98 (step @p109 :rule arith_poly_norm :args (@t99)) % 0.35/45.98 (step @p110 :rule refl :args (@t50)) % 0.35/45.98 (step @p111 :rule arith_poly_norm :args (@t101)) % 0.35/45.98 (step @p112 :rule refl :args (@t55)) % 0.35/45.98 (step @p113 :rule refl :args (@t56)) % 0.35/45.98 (step @p114 :rule arith_poly_norm :args (@t103)) % 0.35/45.98 (step @p115 :rule refl :args (@t98)) % 0.35/45.98 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111 @p110) :args (@t104)) % 0.35/45.98 (step @p117 :rule trans :premises (@p116 @p109)) % 0.35/45.98 (step @p118 :rule arith_poly_norm :args (@t107)) % 0.35/45.98 (step @p119 :rule trans :premises (@p118 @p117)) % 0.35/45.98 (step @p120 :rule cong :premises (@p119 @p108) :args (@t108)) % 0.35/45.98 (step @p121 :rule trans :premises (@p120 @p102)) % 0.35/45.98 (step @p122 :rule cong :premises (@p121) :args ((not @t108))) % 0.35/45.98 (step @p123 :rule trans :premises (@p122 @p101)) % 0.35/45.98 (step @p124 :rule arith-elim-lt :args (@t106 @t97)) % 0.35/45.98 (step @p125 :rule trans :premises (@p124 @p123)) % 0.35/45.98 (step @p126 :rule arith_poly_norm :args (@t109)) % 0.35/45.98 (step @p127 :rule arith_poly_norm_rel :premises (@p126) :args (@t110)) % 0.35/45.98 (step @p128 :rule symm :premises (@p127)) % 0.35/45.98 (step @p129 :rule eq_resolve :premises (@p57 @p128)) % 0.35/45.98 (step @p130 :rule arith_mult_neg :args (-1 @t51)) % 0.35/45.98 (step @p131 :rule evaluate :args (@t111)) % 0.35/45.98 (step @p132 :rule true_elim :premises (@p131)) % 0.35/45.98 (step @p133 :rule and_intro :premises (@p132 @p50)) % 0.35/45.98 (step @p134 :rule modus_ponens :premises (@p133 @p130)) % 0.35/45.98 (step @p135 :rule arith-elim-lt :args (@t58 0)) % 0.35/45.98 (step @p136 :rule symm :premises (@p135)) % 0.35/45.98 (step @p137 :rule eq_resolve :premises (@p52 @p136)) % 0.35/45.98 (step @p138 :rule arith_mult_neg :args (-1 @t93)) % 0.35/45.98 (step @p139 :rule and_intro :premises (@p132 @p239)) % 0.35/45.98 (step @p140 :rule modus_ponens :premises (@p139 @p138)) % 0.35/45.98 (step @p141 :rule arith_sum_ub :premises (@p140 @p137 @p134 @p129)) % 0.35/45.98 (step @p142 false :rule eq_resolve :premises (@p141 @p125)) % 0.35/45.98 (step-pop @p240 :rule scope :premises (@p142)) % 0.35/45.98 (step @p143 :rule process_scope :premises (@p240) :args (false)) % 0.35/45.98 (step @p145 :rule arith_poly_norm :args ((= (* 1 (- @t92 -1)) (* 1 @t80)))) % 0.35/45.98 (step @p146 :rule arith_poly_norm_rel :premises (@p145) :args ((= @t93 @t82))) % 0.35/45.98 (step @p147 :rule symm :premises (@p146)) % 0.35/45.98 (step @p148 :rule eq_resolve :premises (@p238 @p147)) % 0.35/45.98 (step @p149 false :rule contra :premises (@p148 @p143)) % 0.35/45.98 (step-pop @p241 :rule scope :premises (@p149)) % 0.35/45.98 (step-pop @p242 :rule scope :premises (@p241)) % 0.35/45.98 (step-pop @p243 :rule scope :premises (@p242)) % 0.35/45.98 (step-pop @p244 :rule scope :premises (@p243)) % 0.35/45.98 (step @p150 :rule process_scope :premises (@p244) :args (false)) % 0.35/45.98 (assume-push @p245 @t51) % 0.35/45.98 (assume-push @p246 @t64) % 0.35/45.98 (assume-push @p247 @t82) % 0.35/45.98 (assume-push @p248 @t67) % 0.35/45.98 (step @p159 :rule and_intro :premises (@p57 @p50 @p52 @p247)) % 0.35/45.98 (step-pop @p249 :rule scope :premises (@p159)) % 0.35/45.98 (step-pop @p250 :rule scope :premises (@p249)) % 0.35/45.98 (step-pop @p251 :rule scope :premises (@p250)) % 0.35/45.98 (step-pop @p252 :rule scope :premises (@p251)) % 0.35/45.98 (step @p160 :rule process_scope :premises (@p252) :args (@t112)) % 0.35/45.98 (step @p165 :rule implies_elim :premises (@p160)) % 0.35/45.98 (step @p166 :rule resolution :premises (@p165 @p150) :args (true @t112)) % 0.35/45.98 (step @p167 :rule not_and :premises (@p166)) % 0.35/45.98 (step @p168 :rule eq_resolve :premises (@p167 @p95)) % 0.35/45.98 (step @p169 :rule chain_m_resolution :premises (@p168 @p50 @p52 @p57) :args (@t89 (@list false true false) (@list @t51 @t59 @t67))) % 0.35/45.98 (step @p170 :rule refl :args (@t82)) % 0.35/45.98 (step @p171 :rule bool-double-not-elim :args (@t74)) % 0.35/45.98 (step @p172 :rule refl :args (@t113)) % 0.35/45.98 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170) :args ((or @t113 (not @t84) @t82))) % 0.35/45.98 (step @p174 :rule cnf_equiv_pos1 :args (@t87)) % 0.35/45.98 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.35/45.98 (step @p176 :rule reordering :premises (@p175) :args ((or @t74 @t82 @t113))) % 0.35/45.98 (step @p177 :rule chain_m_resolution :premises (@p176 @p169 @p90) :args (@t74 (@list true false) (@list @t82 @t87))) % 0.35/45.98 (step @p178 :rule cnf_equiv_pos1 :args (@t76)) % 0.35/45.98 (step @p179 :rule reordering :premises (@p178) :args ((or @t84 @t72 (not @t76)))) % 0.35/45.98 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p70) :args (@t72 @t70 (@list @t74 @t76))) % 0.35/45.98 (step @p181 :rule refl :args (@t114)) % 0.35/45.98 (step @p182 :rule nary_cong :premises (@p94 @p93 @p181 @p91) :args ((or @t60 @t90 @t114 @t88))) % 0.35/45.98 (assume-push @p253 @t67) % 0.35/45.98 (assume-push @p254 @t51) % 0.35/45.98 (assume-push @p255 @t64) % 0.35/45.98 (assume-push @p256 @t72) % 0.35/45.98 (assume-push @p257 @t115) % 0.35/45.98 (step @p101 :rule evaluate :args (@t94)) % 0.35/45.98 (step @p188 :rule evaluate :args ((>= 0 -1))) % 0.35/45.98 (step @p189 :rule evaluate :args ((+ 0 0 -1 0))) % 0.35/45.98 (step @p104 :rule refl :args (0)) % 0.35/45.98 (step @p105 :rule evaluate :args (@t95)) % 0.35/45.98 (step @p190 :rule evaluate :args (@t116)) % 0.35/45.98 (step @p191 :rule nary_cong :premises (@p190 @p104 @p105 @p104) :args (@t117)) % 0.35/45.98 (step @p192 :rule trans :premises (@p191 @p189)) % 0.35/45.98 (step @p109 :rule arith_poly_norm :args (@t99)) % 0.35/45.98 (step @p110 :rule refl :args (@t50)) % 0.35/45.98 (step @p111 :rule arith_poly_norm :args (@t101)) % 0.35/45.98 (step @p112 :rule refl :args (@t55)) % 0.35/45.98 (step @p113 :rule refl :args (@t56)) % 0.35/45.98 (step @p114 :rule arith_poly_norm :args (@t103)) % 0.35/45.98 (step @p115 :rule refl :args (@t98)) % 0.35/45.98 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111 @p110) :args (@t104)) % 0.35/45.98 (step @p117 :rule trans :premises (@p116 @p109)) % 0.35/45.98 (step @p118 :rule arith_poly_norm :args (@t107)) % 0.35/45.98 (step @p119 :rule trans :premises (@p118 @p117)) % 0.35/45.98 (step @p193 :rule cong :premises (@p119 @p192) :args (@t118)) % 0.35/45.98 (step @p194 :rule trans :premises (@p193 @p188)) % 0.35/45.98 (step @p195 :rule cong :premises (@p194) :args ((not @t118))) % 0.35/45.98 (step @p196 :rule trans :premises (@p195 @p101)) % 0.35/45.98 (step @p197 :rule arith-elim-lt :args (@t106 @t117)) % 0.35/45.98 (step @p198 :rule trans :premises (@p197 @p196)) % 0.35/45.98 (step @p126 :rule arith_poly_norm :args (@t109)) % 0.35/45.98 (step @p127 :rule arith_poly_norm_rel :premises (@p126) :args (@t110)) % 0.35/45.98 (step @p128 :rule symm :premises (@p127)) % 0.35/45.98 (step @p129 :rule eq_resolve :premises (@p57 @p128)) % 0.35/45.98 (step @p130 :rule arith_mult_neg :args (-1 @t51)) % 0.35/45.98 (step @p131 :rule evaluate :args (@t111)) % 0.35/45.98 (step @p132 :rule true_elim :premises (@p131)) % 0.35/45.98 (step @p133 :rule and_intro :premises (@p132 @p50)) % 0.35/45.98 (step @p134 :rule modus_ponens :premises (@p133 @p130)) % 0.35/45.98 (step @p135 :rule arith-elim-lt :args (@t58 0)) % 0.35/45.98 (step @p136 :rule symm :premises (@p135)) % 0.35/45.98 (step @p137 :rule eq_resolve :premises (@p52 @p136)) % 0.35/45.98 (step @p199 :rule arith_mult_neg :args (-1 @t115)) % 0.35/45.98 (step @p200 :rule and_intro :premises (@p132 @p257)) % 0.35/45.98 (step @p201 :rule modus_ponens :premises (@p200 @p199)) % 0.35/45.98 (step @p202 :rule arith_sum_ub :premises (@p201 @p137 @p134 @p129)) % 0.35/45.98 (step @p203 false :rule eq_resolve :premises (@p202 @p198)) % 0.35/45.98 (step-pop @p258 :rule scope :premises (@p203)) % 0.35/45.98 (step @p204 :rule process_scope :premises (@p258) :args (false)) % 0.35/45.98 (step @p206 :rule arith_poly_norm :args ((= (* 1 (- @t92 0)) (* 1 @t71)))) % 0.35/45.98 (step @p207 :rule arith_poly_norm_rel :premises (@p206) :args ((= @t115 @t72))) % 0.35/45.98 (step @p208 :rule symm :premises (@p207)) % 0.35/45.98 (step @p209 :rule eq_resolve :premises (@p256 @p208)) % 0.35/45.98 (step @p210 false :rule contra :premises (@p209 @p204)) % 0.35/45.98 (step-pop @p259 :rule scope :premises (@p210)) % 0.35/45.98 (step-pop @p260 :rule scope :premises (@p259)) % 0.35/45.98 (step-pop @p261 :rule scope :premises (@p260)) % 0.35/45.98 (step-pop @p262 :rule scope :premises (@p261)) % 0.35/45.98 (step @p211 :rule process_scope :premises (@p262) :args (false)) % 0.35/45.98 (assume-push @p263 @t51) % 0.35/45.98 (assume-push @p264 @t64) % 0.35/45.98 (assume-push @p265 @t72) % 0.35/45.98 (assume-push @p266 @t67) % 0.35/45.98 (step @p220 :rule and_intro :premises (@p57 @p50 @p52 @p265)) % 0.35/45.98 (step-pop @p267 :rule scope :premises (@p220)) % 0.35/45.98 (step-pop @p268 :rule scope :premises (@p267)) % 0.35/45.98 (step-pop @p269 :rule scope :premises (@p268)) % 0.35/45.98 (step-pop @p270 :rule scope :premises (@p269)) % 0.35/45.98 (step @p221 :rule process_scope :premises (@p270) :args (@t119)) % 0.35/45.98 (step @p226 :rule implies_elim :premises (@p221)) % 0.35/45.98 (step @p227 :rule resolution :premises (@p226 @p211) :args (true @t119)) % 0.35/45.98 (step @p228 :rule not_and :premises (@p227)) % 0.35/45.98 (step @p229 :rule eq_resolve :premises (@p228 @p182)) % 0.35/45.98 (step @p230 false :rule chain_m_resolution :premises (@p229 @p180 @p57 @p52 @p50) :args (false (@list false false true false) (@list @t72 @t67 @t59 @t51))) % 0.35/45.98 ) % 0.35/45.98 % SZS output end Proof % 0.35/45.98 % cvc5 exiting %------------------------------------------------------------------------------