%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT035_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 : n003.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 45.59s 45.87s % Output : Proof 45.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT035_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n003.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 22:26:44 EDT 2026 % 0.15/0.33 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 45.59/45.87 --- Run --finite-model-find --decision=internal at 45... % 45.59/45.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.59/45.87 % SZS status Theorem % 45.59/45.87 % SZS output start Proof % 45.59/45.87 ( % 45.59/45.87 (declare-sort tptp.collection 0) % 45.59/45.87 (declare-const tptp.count (-> tptp.collection Int)) % 45.59/45.87 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 45.59/45.87 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 45.59/45.87 (declare-const tptp.in (-> Int tptp.collection Bool)) % 45.59/45.87 (declare-const tptp.empty tptp.collection) % 45.59/45.87 (define @t1 () (@var "U" Int)) % 45.59/45.87 (define @t2 () (@var "W" tptp.collection)) % 45.59/45.87 (define @t3 () (@var "V" Int)) % 45.59/45.87 (define @t4 () (@var "Y" tptp.collection)) % 45.59/45.87 (define @t5 () (@var "X" Int)) % 45.59/45.87 (define @t6 () (@var "X1" tptp.collection)) % 45.59/45.87 (define @t7 () (@var "X2" Int)) % 45.59/45.87 (define @t8 () (@var "Z" Int)) % 45.59/45.87 (define @t9 () (@var "X4" tptp.collection)) % 45.59/45.87 (define @t10 () (@var "X5" Int)) % 45.59/45.87 (define @t11 () (@var "X3" Int)) % 45.59/45.87 (define @t12 () (@var "X6" tptp.collection)) % 45.59/45.87 (define @t13 () (@var "X7" tptp.collection)) % 45.59/45.87 (define @t14 () (@var "X9" tptp.collection)) % 45.59/45.87 (define @t15 () (tptp.count @t14)) % 45.59/45.87 (define @t16 () (+ @t15 1)) % 45.59/45.87 (define @t17 () (@var "X8" Int)) % 45.59/45.87 (define @t18 () (tptp.count (tptp.add @t17 @t14))) % 45.59/45.87 (define @t19 () (= @t18 @t16)) % 45.59/45.87 (define @t20 () (not (tptp.in @t17 @t14))) % 45.59/45.87 (define @t21 () (= @t20 @t19)) % 45.59/45.87 (define @t22 () (@list @t17 @t14)) % 45.59/45.87 (define @t23 () (forall @t22 @t21)) % 45.59/45.87 (define @t24 () (@var "X11" tptp.collection)) % 45.59/45.87 (define @t25 () (@var "X10" Int)) % 45.59/45.87 (define @t26 () (forall (@list @t25 @t24) (= (tptp.in @t25 @t24) (= (tptp.count (tptp.add @t25 @t24)) (tptp.count @t24))))) % 45.59/45.87 (define @t27 () (@var "X13" tptp.collection)) % 45.59/45.87 (define @t28 () (@var "X12" Int)) % 45.59/45.87 (define @t29 () (@var "X15" tptp.collection)) % 45.59/45.87 (define @t30 () (@var "X14" Int)) % 45.59/45.87 (define @t31 () (@var "X17" tptp.collection)) % 45.59/45.87 (define @t32 () (@var "X16" Int)) % 45.59/45.87 (define @t33 () (@var "U" tptp.collection)) % 45.59/45.87 (define @t34 () (tptp.count (tptp.add @t3 @t33))) % 45.59/45.87 (define @t35 () (@var "W" Int)) % 45.59/45.87 (define @t36 () (tptp.count @t33)) % 45.59/45.87 (define @t37 () (+ @t36 @t35)) % 45.59/45.87 (define @t38 () (>= @t37 @t34)) % 45.59/45.87 (define @t39 () (=> (> @t35 0) @t38)) % 45.59/45.87 (define @t40 () (@list @t33 @t3 @t35)) % 45.59/45.87 (define @t41 () (forall @t40 @t39)) % 45.59/45.87 (define @t42 () (not @t41)) % 45.59/45.87 (define @t43 () (>= @t35 1)) % 45.59/45.87 (define @t44 () (+ @t35 @t36 (* -1 @t34))) % 45.59/45.87 (define @t45 () (>= @t44 0)) % 45.59/45.87 (define @t46 () (+ @t35 @t36)) % 45.59/45.87 (define @t47 () (+ 0 1)) % 45.59/45.87 (define @t48 () (>= @t35 @t47)) % 45.59/45.87 (define @t49 () (forall @t40 (or (not @t43) @t45))) % 45.59/45.87 (define @t50 () (@quantifiers_skolemize @t49 2)) % 45.59/45.87 (define @t51 () (>= @t50 1)) % 45.59/45.87 (define @t52 () (@quantifiers_skolemize @t49 0)) % 45.59/45.87 (define @t53 () (@quantifiers_skolemize @t49 1)) % 45.59/45.87 (define @t54 () (tptp.count (tptp.add @t53 @t52))) % 45.59/45.87 (define @t55 () (* -1 @t54)) % 45.59/45.87 (define @t56 () (tptp.count @t52)) % 45.59/45.87 (define @t57 () (+ @t50 @t56 @t55)) % 45.59/45.87 (define @t58 () (>= @t57 0)) % 45.59/45.87 (define @t59 () (not @t51)) % 45.59/45.87 (define @t60 () (or @t59 @t58)) % 45.59/45.87 (define @t61 () (@list true)) % 45.59/45.87 (define @t62 () (@list @t60)) % 45.59/45.87 (define @t63 () (not @t58)) % 45.59/45.87 (define @t64 () (- @t56 @t54)) % 45.59/45.87 (define @t65 () (= @t56 @t54)) % 45.59/45.87 (define @t66 () (= @t54 @t56)) % 45.59/45.87 (define @t67 () (tptp.in @t53 @t52)) % 45.59/45.87 (define @t68 () (= @t67 @t66)) % 45.59/45.87 (define @t69 () (@list @t53 @t52)) % 45.59/45.87 (define @t70 () (= @t67 @t65)) % 45.59/45.87 (define @t71 () (@list false)) % 45.59/45.87 (define @t72 () (+ 1 @t15)) % 45.59/45.87 (define @t73 () (+ -1 @t54)) % 45.59/45.87 (define @t74 () (- @t56 @t73)) % 45.59/45.87 (define @t75 () (+ 1 @t56)) % 45.59/45.87 (define @t76 () (= @t56 @t73)) % 45.59/45.87 (define @t77 () (= @t54 @t75)) % 45.59/45.87 (define @t78 () (not @t67)) % 45.59/45.87 (define @t79 () (= @t78 @t77)) % 45.59/45.87 (define @t80 () (forall @t22 (= @t20 (= @t18 @t72)))) % 45.59/45.87 (define @t81 () (= @t78 @t76)) % 45.59/45.87 (define @t82 () (not @t76)) % 45.59/45.87 (define @t83 () (not @t63)) % 45.59/45.87 (define @t84 () (+ @t56 @t55)) % 45.59/45.87 (define @t85 () (= @t84 -1)) % 45.59/45.87 (define @t86 () (not true)) % 45.59/45.87 (define @t87 () (* -1 1)) % 45.59/45.87 (define @t88 () (* -1 -1)) % 45.59/45.87 (define @t89 () (+ @t88 0 @t87)) % 45.59/45.87 (define @t90 () (* -1 @t50)) % 45.59/45.87 (define @t91 () (= (+ @t90 0 0 @t50) 0)) % 45.59/45.87 (define @t92 () (* 0 @t56)) % 45.59/45.87 (define @t93 () (= @t92 0)) % 45.59/45.87 (define @t94 () (* 0 @t54)) % 45.59/45.87 (define @t95 () (= @t94 0)) % 45.59/45.87 (define @t96 () (+ @t90 @t94 @t92 @t50)) % 45.59/45.87 (define @t97 () (+ (* -1 @t84) @t57 @t90)) % 45.59/45.87 (define @t98 () (= @t97 @t96)) % 45.59/45.87 (define @t99 () (>= @t97 @t89)) % 45.59/45.87 (define @t100 () (< -1 0)) % 45.59/45.87 (define @t101 () (not @t81)) % 45.59/45.87 (define @t102 () (not @t65)) % 45.59/45.87 (define @t103 () (= @t84 0)) % 45.59/45.87 (define @t104 () (* -1 0)) % 45.59/45.87 (define @t105 () (+ @t104 0 @t87)) % 45.59/45.87 (define @t106 () (>= @t97 @t105)) % 45.59/45.87 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 45.59/45.87 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 45.59/45.87 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 45.59/45.87 (assume @p4 (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 45.59/45.87 (assume @p5 (forall (@list @t11 @t9 @t10) (= (and (tptp.in @t11 @t9) (not (= @t11 @t10))) (tptp.in @t11 (tptp.remove @t10 @t9))))) % 45.59/45.87 (assume @p6 (forall (@list @t12) (>= (tptp.count @t12) 0))) % 45.59/45.87 (assume @p7 (forall (@list @t13) (= (= @t13 tptp.empty) (= (tptp.count @t13) 0)))) % 45.59/45.87 (assume @p8 @t23) % 45.59/45.87 (assume @p9 @t26) % 45.59/45.87 (assume @p10 (forall (@list @t28 @t27) (= (tptp.in @t28 @t27) (= (tptp.count (tptp.remove @t28 @t27)) (- (tptp.count @t27) 1))))) % 45.59/45.87 (assume @p11 (forall (@list @t30 @t29) (= (not (tptp.in @t30 @t29)) (= (tptp.count (tptp.remove @t30 @t29)) (tptp.count @t29))))) % 45.59/45.87 (assume @p12 (forall (@list @t32 @t31) (=> (tptp.in @t32 @t31) (= @t31 (tptp.add @t32 (tptp.remove @t32 @t31)))))) % 45.59/45.87 (assume @p13 @t42) % 45.59/45.87 (assume @p14 true) % 45.59/45.87 (step @p15 :rule bool-impl-elim :args (@t43 @t45)) % 45.59/45.87 (step @p16 :rule cong :premises (@p15) :args ((forall @t40 (=> @t43 @t45)))) % 45.59/45.87 (step @p17 :rule arith_poly_norm :args ((= (* 1 (- @t46 @t34)) (* 1 (- @t44 0))))) % 45.59/45.87 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= (>= @t46 @t34) @t45))) % 45.59/45.87 (step @p19 :rule refl :args (@t34)) % 45.59/45.87 (step @p20 :rule arith_poly_norm :args ((= @t37 @t46))) % 45.59/45.87 (step @p21 :rule cong :premises (@p20 @p19) :args (@t38)) % 45.59/45.87 (step @p22 :rule trans :premises (@p21 @p18)) % 45.59/45.87 (step @p23 :rule bool-double-not-elim :args (@t43)) % 45.59/45.87 (step @p24 :rule evaluate :args (@t47)) % 45.59/45.87 (step @p25 :rule refl :args (@t35)) % 45.59/45.87 (step @p26 :rule cong :premises (@p25 @p24) :args (@t48)) % 45.59/45.87 (step @p27 :rule cong :premises (@p26) :args ((not @t48))) % 45.59/45.87 (step @p28 :rule arith-leq-norm :args (@t35 0)) % 45.59/45.87 (step @p29 :rule trans :premises (@p28 @p27)) % 45.59/45.87 (step @p30 :rule cong :premises (@p29) :args ((not (<= @t35 0)))) % 45.59/45.87 (step @p31 :rule trans :premises (@p30 @p23)) % 45.59/45.87 (step @p32 :rule arith-elim-leq :args (@t35 0)) % 45.59/45.87 (step @p33 :rule symm :premises (@p32)) % 45.59/45.87 (step @p34 :rule cong :premises (@p33) :args ((not (>= 0 @t35)))) % 45.59/45.87 (step @p35 :rule arith-elim-gt :args (@t35 0)) % 45.59/45.87 (step @p36 :rule trans :premises (@p35 @p34)) % 45.59/45.87 (step @p37 :rule trans :premises (@p36 @p31)) % 45.59/45.87 (step @p38 :rule cong :premises (@p37 @p22) :args (@t39)) % 45.59/45.87 (step @p39 :rule cong :premises (@p38) :args (@t41)) % 45.59/45.87 (step @p40 :rule trans :premises (@p39 @p16)) % 45.59/45.87 (step @p41 :rule cong :premises (@p40) :args (@t42)) % 45.59/45.87 (step @p42 :rule eq_resolve :premises (@p13 @p41)) % 45.59/45.87 (step @p43 :rule skolemize :premises (@p42)) % 45.59/45.87 (step @p44 :rule bool-double-not-elim :args (@t51)) % 45.59/45.87 (step @p45 :rule refl :args (@t60)) % 45.59/45.87 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t60 (not @t59)))) % 45.59/45.87 (step @p47 :rule cnf_or_neg :args (@t60 0)) % 45.59/45.87 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 45.59/45.87 (step @p49 :rule reordering :premises (@p48) :args ((or @t51 @t60))) % 45.59/45.87 (step @p50 :rule chain_m_resolution :premises (@p49 @p43) :args (@t51 @t61 @t62)) % 45.59/45.87 (step @p51 :rule cnf_or_neg :args (@t60 1)) % 45.59/45.87 (step @p52 :rule chain_m_resolution :premises (@p51 @p43) :args (@t63 @t61 @t62)) % 45.59/45.87 (step @p53 :rule arith_poly_norm :args ((= (* 1 (- @t54 @t56)) (* -1 @t64)))) % 45.59/45.87 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args ((= @t66 @t65))) % 45.59/45.87 (step @p55 :rule refl :args (@t67)) % 45.59/45.87 (step @p56 :rule cong :premises (@p55 @p54) :args (@t68)) % 45.59/45.87 (step @p57 :rule refl :args (@t26)) % 45.59/45.87 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t26 @t68))) % 45.59/45.87 (assume-push @p191 @t26) % 45.59/45.87 (step @p60 :rule instantiate :premises (@p9) :args (@t69)) % 45.59/45.87 (step-pop @p192 :rule scope :premises (@p60)) % 45.59/45.87 (step @p61 :rule process_scope :premises (@p192) :args (@t68)) % 45.59/45.87 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 45.59/45.87 (step @p64 :rule implies_elim :premises (@p63)) % 45.59/45.87 (step @p65 :rule chain_m_resolution :premises (@p64 @p9) :args (@t70 @t71 (@list @t26))) % 45.59/45.87 (step @p66 :rule arith_poly_norm :args ((= @t16 @t72))) % 45.59/45.87 (step @p67 :rule refl :args (@t18)) % 45.59/45.87 (step @p68 :rule cong :premises (@p67 @p66) :args (@t19)) % 45.59/45.87 (step @p69 :rule refl :args (@t20)) % 45.59/45.87 (step @p70 :rule cong :premises (@p69 @p68) :args (@t21)) % 45.59/45.87 (step @p71 :rule cong :premises (@p70) :args (@t23)) % 45.59/45.87 (step @p72 :rule eq_resolve :premises (@p8 @p71)) % 45.59/45.87 (step @p73 :rule arith_poly_norm :args ((= (* 1 (- @t54 @t75)) (* -1 @t74)))) % 45.59/45.87 (step @p74 :rule arith_poly_norm_rel :premises (@p73) :args ((= @t77 @t76))) % 45.59/45.87 (step @p75 :rule refl :args (@t78)) % 45.59/45.87 (step @p76 :rule cong :premises (@p75 @p74) :args (@t79)) % 45.59/45.87 (step @p77 :rule refl :args (@t80)) % 45.59/45.87 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t80 @t79))) % 45.59/45.87 (assume-push @p193 @t80) % 45.59/45.87 (step @p80 :rule instantiate :premises (@p72) :args (@t69)) % 45.59/45.87 (step-pop @p194 :rule scope :premises (@p80)) % 45.59/45.87 (step @p81 :rule process_scope :premises (@p194) :args (@t79)) % 45.59/45.87 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 45.59/45.87 (step @p84 :rule implies_elim :premises (@p83)) % 45.59/45.87 (step @p85 :rule chain_m_resolution :premises (@p84 @p72) :args (@t81 @t71 (@list @t80))) % 45.59/45.87 (step @p86 :rule refl :args (@t82)) % 45.59/45.87 (step @p87 :rule bool-double-not-elim :args (@t58)) % 45.59/45.87 (step @p88 :rule refl :args (@t59)) % 45.59/45.87 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args ((or @t59 @t83 @t82))) % 45.59/45.87 (assume-push @p195 @t51) % 45.59/45.87 (assume-push @p196 @t63) % 45.59/45.87 (assume-push @p197 @t76) % 45.59/45.87 (assume-push @p198 @t85) % 45.59/45.87 (step @p94 :rule evaluate :args (@t86)) % 45.59/45.87 (step @p95 :rule evaluate :args ((>= 0 0))) % 45.59/45.87 (step @p96 :rule evaluate :args ((+ 1 0 -1))) % 45.59/45.87 (step @p97 :rule evaluate :args (@t87)) % 45.59/45.87 (step @p98 :rule refl :args (0)) % 45.59/45.87 (step @p99 :rule evaluate :args (@t88)) % 45.59/45.87 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97) :args (@t89)) % 45.59/45.87 (step @p101 :rule trans :premises (@p100 @p96)) % 45.59/45.87 (step @p102 :rule arith_poly_norm :args (@t91)) % 45.59/45.87 (step @p103 :rule refl :args (@t50)) % 45.59/45.87 (step @p104 :rule arith_poly_norm :args (@t93)) % 45.59/45.87 (step @p105 :rule arith_poly_norm :args (@t95)) % 45.59/45.87 (step @p106 :rule refl :args (@t90)) % 45.59/45.87 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103) :args (@t96)) % 45.59/45.87 (step @p108 :rule trans :premises (@p107 @p102)) % 45.59/45.87 (step @p109 :rule arith_poly_norm :args (@t98)) % 45.59/45.87 (step @p110 :rule trans :premises (@p109 @p108)) % 45.59/45.87 (step @p111 :rule cong :premises (@p110 @p101) :args (@t99)) % 45.59/45.87 (step @p112 :rule trans :premises (@p111 @p95)) % 45.59/45.87 (step @p113 :rule cong :premises (@p112) :args ((not @t99))) % 45.59/45.87 (step @p114 :rule trans :premises (@p113 @p94)) % 45.59/45.87 (step @p115 :rule arith-elim-lt :args (@t97 @t89)) % 45.59/45.87 (step @p116 :rule trans :premises (@p115 @p114)) % 45.59/45.87 (step @p117 :rule arith_mult_neg :args (-1 @t51)) % 45.59/45.87 (step @p118 :rule evaluate :args (@t100)) % 45.59/45.87 (step @p119 :rule true_elim :premises (@p118)) % 45.59/45.87 (step @p120 :rule and_intro :premises (@p119 @p50)) % 45.59/45.87 (step @p121 :rule modus_ponens :premises (@p120 @p117)) % 45.59/45.87 (step @p122 :rule arith-elim-lt :args (@t57 0)) % 45.59/45.87 (step @p123 :rule symm :premises (@p122)) % 45.59/45.87 (step @p124 :rule eq_resolve :premises (@p52 @p123)) % 45.59/45.87 (step @p125 :rule arith_mult_neg :args (-1 @t85)) % 45.59/45.87 (step @p126 :rule and_intro :premises (@p119 @p198)) % 45.59/45.87 (step @p127 :rule modus_ponens :premises (@p126 @p125)) % 45.59/45.87 (step @p128 :rule arith_sum_ub :premises (@p127 @p124 @p121)) % 45.59/45.87 (step @p129 false :rule eq_resolve :premises (@p128 @p116)) % 45.59/45.87 (step-pop @p199 :rule scope :premises (@p129)) % 45.59/45.87 (step @p130 :rule process_scope :premises (@p199) :args (false)) % 45.59/45.87 (step @p132 :rule arith_poly_norm :args ((= (* 1 (- @t84 -1)) (* 1 @t74)))) % 45.59/45.87 (step @p133 :rule arith_poly_norm_rel :premises (@p132) :args ((= @t85 @t76))) % 45.59/45.87 (step @p134 :rule symm :premises (@p133)) % 45.59/45.87 (step @p135 :rule eq_resolve :premises (@p197 @p134)) % 45.59/45.87 (step @p136 false :rule contra :premises (@p135 @p130)) % 45.59/45.87 (step-pop @p200 :rule scope :premises (@p136)) % 45.59/45.87 (step-pop @p201 :rule scope :premises (@p200)) % 45.59/45.87 (step-pop @p202 :rule scope :premises (@p201)) % 45.59/45.87 (step @p137 :rule process_scope :premises (@p202) :args (false)) % 45.59/45.87 (step @p141 :rule not_and :premises (@p137)) % 45.59/45.87 (step @p142 :rule eq_resolve :premises (@p141 @p89)) % 45.59/45.87 (step @p143 :rule chain_m_resolution :premises (@p142 @p50 @p52) :args (@t82 (@list false true) (@list @t51 @t58))) % 45.59/45.87 (step @p144 :rule refl :args (@t76)) % 45.59/45.87 (step @p145 :rule bool-double-not-elim :args (@t67)) % 45.59/45.87 (step @p146 :rule refl :args (@t101)) % 45.59/45.87 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144) :args ((or @t101 (not @t78) @t76))) % 45.59/45.87 (step @p148 :rule cnf_equiv_pos1 :args (@t81)) % 45.59/45.87 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 45.59/45.87 (step @p150 :rule reordering :premises (@p149) :args ((or @t67 @t76 @t101))) % 45.59/45.87 (step @p151 :rule chain_m_resolution :premises (@p150 @p143 @p85) :args (@t67 (@list true false) (@list @t76 @t81))) % 45.59/45.87 (step @p152 :rule cnf_equiv_pos1 :args (@t70)) % 45.59/45.87 (step @p153 :rule reordering :premises (@p152) :args ((or @t78 @t65 (not @t70)))) % 45.59/45.87 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p65) :args (@t65 (@list false false) (@list @t67 @t70))) % 45.59/45.87 (step @p155 :rule refl :args (@t102)) % 45.59/45.87 (step @p156 :rule nary_cong :premises (@p88 @p87 @p155) :args ((or @t59 @t83 @t102))) % 45.59/45.87 (assume-push @p203 @t51) % 45.59/45.87 (assume-push @p204 @t63) % 45.59/45.87 (assume-push @p205 @t65) % 45.59/45.87 (assume-push @p206 @t103) % 45.59/45.87 (step @p94 :rule evaluate :args (@t86)) % 45.59/45.87 (step @p161 :rule evaluate :args ((>= 0 -1))) % 45.59/45.87 (step @p162 :rule evaluate :args ((+ 0 0 -1))) % 45.59/45.87 (step @p97 :rule evaluate :args (@t87)) % 45.59/45.87 (step @p98 :rule refl :args (0)) % 45.59/45.87 (step @p163 :rule evaluate :args (@t104)) % 45.59/45.87 (step @p164 :rule nary_cong :premises (@p163 @p98 @p97) :args (@t105)) % 45.59/45.87 (step @p165 :rule trans :premises (@p164 @p162)) % 45.59/45.87 (step @p102 :rule arith_poly_norm :args (@t91)) % 45.59/45.87 (step @p103 :rule refl :args (@t50)) % 45.59/45.87 (step @p104 :rule arith_poly_norm :args (@t93)) % 45.59/45.87 (step @p105 :rule arith_poly_norm :args (@t95)) % 45.59/45.87 (step @p106 :rule refl :args (@t90)) % 45.59/45.87 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103) :args (@t96)) % 45.59/45.87 (step @p108 :rule trans :premises (@p107 @p102)) % 45.59/45.87 (step @p109 :rule arith_poly_norm :args (@t98)) % 45.59/45.87 (step @p110 :rule trans :premises (@p109 @p108)) % 45.59/45.87 (step @p166 :rule cong :premises (@p110 @p165) :args (@t106)) % 45.59/45.87 (step @p167 :rule trans :premises (@p166 @p161)) % 45.59/45.87 (step @p168 :rule cong :premises (@p167) :args ((not @t106))) % 45.59/45.87 (step @p169 :rule trans :premises (@p168 @p94)) % 45.59/45.87 (step @p170 :rule arith-elim-lt :args (@t97 @t105)) % 45.59/45.87 (step @p171 :rule trans :premises (@p170 @p169)) % 45.59/45.87 (step @p117 :rule arith_mult_neg :args (-1 @t51)) % 45.59/45.87 (step @p118 :rule evaluate :args (@t100)) % 45.59/45.87 (step @p119 :rule true_elim :premises (@p118)) % 45.59/45.87 (step @p120 :rule and_intro :premises (@p119 @p50)) % 45.59/45.87 (step @p121 :rule modus_ponens :premises (@p120 @p117)) % 45.59/45.87 (step @p122 :rule arith-elim-lt :args (@t57 0)) % 45.59/45.87 (step @p123 :rule symm :premises (@p122)) % 45.59/45.87 (step @p124 :rule eq_resolve :premises (@p52 @p123)) % 45.59/45.87 (step @p172 :rule arith_mult_neg :args (-1 @t103)) % 45.59/45.87 (step @p173 :rule and_intro :premises (@p119 @p206)) % 45.59/45.87 (step @p174 :rule modus_ponens :premises (@p173 @p172)) % 45.59/45.87 (step @p175 :rule arith_sum_ub :premises (@p174 @p124 @p121)) % 45.59/45.87 (step @p176 false :rule eq_resolve :premises (@p175 @p171)) % 45.59/45.87 (step-pop @p207 :rule scope :premises (@p176)) % 45.59/45.87 (step @p177 :rule process_scope :premises (@p207) :args (false)) % 45.59/45.87 (step @p179 :rule arith_poly_norm :args ((= (* 1 (- @t84 0)) (* 1 @t64)))) % 45.59/45.87 (step @p180 :rule arith_poly_norm_rel :premises (@p179) :args ((= @t103 @t65))) % 45.59/45.87 (step @p181 :rule symm :premises (@p180)) % 45.59/45.87 (step @p182 :rule eq_resolve :premises (@p205 @p181)) % 45.59/45.87 (step @p183 false :rule contra :premises (@p182 @p177)) % 45.59/45.87 (step-pop @p208 :rule scope :premises (@p183)) % 45.59/45.87 (step-pop @p209 :rule scope :premises (@p208)) % 45.59/45.87 (step-pop @p210 :rule scope :premises (@p209)) % 45.59/45.87 (step @p184 :rule process_scope :premises (@p210) :args (false)) % 45.59/45.87 (step @p188 :rule not_and :premises (@p184)) % 45.59/45.87 (step @p189 :rule eq_resolve :premises (@p188 @p156)) % 45.59/45.87 (step @p190 false :rule chain_m_resolution :premises (@p189 @p154 @p52 @p50) :args (false (@list false true false) (@list @t65 @t58 @t51))) % 45.59/45.87 ) % 45.59/45.87 % SZS output end Proof % 45.59/45.87 % cvc5 exiting %------------------------------------------------------------------------------