%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA060_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:43:31 AM UTC 2026 % Result : Theorem 60.49s 60.73s % Output : Proof 60.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA060_1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 : Tue Jun 2 13:05:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_ARI % 60.49/60.73 --- Run --finite-model-find --decision=internal at 45... % 60.49/60.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 60.49/60.73 --- Run --no-e-matching --full-saturate-quant at 45... % 60.49/60.73 % SZS status Theorem % 60.49/60.73 % SZS output start Proof % 60.49/60.73 ( % 60.49/60.73 (declare-const tptp.s4 (-> Int Int Bool)) % 60.49/60.73 (declare-const tptp.s2 (-> Int Int Bool)) % 60.49/60.73 (declare-const tptp.s3 (-> Int Int Bool)) % 60.49/60.73 (declare-const tptp.s0 (-> Int Int Bool)) % 60.49/60.73 (declare-const tptp.s1 (-> Int Int Bool)) % 60.49/60.73 (define @t1 () (@var "Y" Int)) % 60.49/60.73 (define @t2 () (@var "X" Int)) % 60.49/60.73 (define @t3 () (tptp.s1 @t2 @t1)) % 60.49/60.73 (define @t4 () (tptp.s0 @t2 @t1)) % 60.49/60.73 (define @t5 () (@list @t2 @t1)) % 60.49/60.73 (define @t6 () (tptp.s3 @t2 @t1)) % 60.49/60.73 (define @t7 () (<= @t2 200)) % 60.49/60.73 (define @t8 () (and @t4 @t7)) % 60.49/60.73 (define @t9 () (=> @t8 @t6)) % 60.49/60.73 (define @t10 () (forall @t5 @t9)) % 60.49/60.73 (define @t11 () (@var "Z" Int)) % 60.49/60.73 (define @t12 () (>= @t11 0)) % 60.49/60.73 (define @t13 () (<= @t11 40)) % 60.49/60.73 (define @t14 () (@list @t2 @t1 @t11)) % 60.49/60.73 (define @t15 () (tptp.s4 @t2 @t11)) % 60.49/60.73 (define @t16 () (and @t6 @t13 @t12)) % 60.49/60.73 (define @t17 () (=> @t16 @t15)) % 60.49/60.73 (define @t18 () (forall @t14 @t17)) % 60.49/60.73 (define @t19 () (tptp.s0 @t11 @t1)) % 60.49/60.73 (define @t20 () (+ @t2 @t1)) % 60.49/60.73 (define @t21 () (= @t11 @t20)) % 60.49/60.73 (define @t22 () (tptp.s4 @t2 @t1)) % 60.49/60.73 (define @t23 () (and @t22 @t21)) % 60.49/60.73 (define @t24 () (=> @t23 @t19)) % 60.49/60.73 (define @t25 () (forall @t14 @t24)) % 60.49/60.73 (define @t26 () (@var "U" Int)) % 60.49/60.73 (define @t27 () (>= @t26 240)) % 60.49/60.73 (define @t28 () (@var "V" Int)) % 60.49/60.73 (define @t29 () (tptp.s0 @t26 @t28)) % 60.49/60.73 (define @t30 () (and @t29 @t27)) % 60.49/60.73 (define @t31 () (@list @t26 @t28)) % 60.49/60.73 (define @t32 () (exists @t31 @t30)) % 60.49/60.73 (define @t33 () (=> @t7 @t4)) % 60.49/60.73 (define @t34 () (forall @t5 @t33)) % 60.49/60.73 (define @t35 () (=> @t34 @t32)) % 60.49/60.73 (define @t36 () (not @t35)) % 60.49/60.73 (define @t37 () (+ (* -1 @t1) @t11)) % 60.49/60.73 (define @t38 () (not (tptp.s4 @t37 @t1))) % 60.49/60.73 (define @t39 () (or @t38 @t19)) % 60.49/60.73 (define @t40 () (not (= @t37 @t37))) % 60.49/60.73 (define @t41 () (or @t38 @t40 @t19)) % 60.49/60.73 (define @t42 () (@list @t1 @t11)) % 60.49/60.73 (define @t43 () (= @t2 @t37)) % 60.49/60.73 (define @t44 () (not @t43)) % 60.49/60.73 (define @t45 () (not @t22)) % 60.49/60.73 (define @t46 () (or @t44 @t45 @t44 @t19)) % 60.49/60.73 (define @t47 () (@list @t2)) % 60.49/60.73 (define @t48 () (or @t45 @t44 @t19)) % 60.49/60.73 (define @t49 () (forall @t47 @t48)) % 60.49/60.73 (define @t50 () (forall @t42 @t49)) % 60.49/60.73 (define @t51 () (forall (@list @t1 @t11 @t2) @t48)) % 60.49/60.73 (define @t52 () (and @t22 @t43)) % 60.49/60.73 (define @t53 () (not @t12)) % 60.49/60.73 (define @t54 () (>= @t11 41)) % 60.49/60.73 (define @t55 () (not @t6)) % 60.49/60.73 (define @t56 () (or @t55 @t54 @t53 @t15)) % 60.49/60.73 (define @t57 () (not @t54)) % 60.49/60.73 (define @t58 () (not @t57)) % 60.49/60.73 (define @t59 () (or @t55 @t58 @t53)) % 60.49/60.73 (define @t60 () (and @t6 @t57 @t12)) % 60.49/60.73 (define @t61 () (+ 40 1)) % 60.49/60.73 (define @t62 () (>= @t11 @t61)) % 60.49/60.73 (define @t63 () (tptp.s4 200 40)) % 60.49/60.73 (define @t64 () (tptp.s3 200 200)) % 60.49/60.73 (define @t65 () (not @t64)) % 60.49/60.73 (define @t66 () (or @t65 @t63)) % 60.49/60.73 (define @t67 () (>= 40 0)) % 60.49/60.73 (define @t68 () (not @t67)) % 60.49/60.73 (define @t69 () (>= 40 41)) % 60.49/60.73 (define @t70 () (or @t65 @t69 @t68 @t63)) % 60.49/60.73 (define @t71 () (forall @t14 @t56)) % 60.49/60.73 (define @t72 () (@list false)) % 60.49/60.73 (define @t73 () (>= @t2 201)) % 60.49/60.73 (define @t74 () (not @t4)) % 60.49/60.73 (define @t75 () (or @t74 @t73 @t6)) % 60.49/60.73 (define @t76 () (not @t73)) % 60.49/60.73 (define @t77 () (not @t76)) % 60.49/60.73 (define @t78 () (and @t4 @t76)) % 60.49/60.73 (define @t79 () (+ 200 1)) % 60.49/60.73 (define @t80 () (>= @t2 @t79)) % 60.49/60.73 (define @t81 () (tptp.s0 200 200)) % 60.49/60.73 (define @t82 () (not @t81)) % 60.49/60.73 (define @t83 () (or @t82 @t64)) % 60.49/60.73 (define @t84 () (>= 200 201)) % 60.49/60.73 (define @t85 () (or @t82 @t84 @t64)) % 60.49/60.73 (define @t86 () (forall @t5 @t75)) % 60.49/60.73 (define @t87 () (@list 200 200)) % 60.49/60.73 (define @t88 () (forall @t31 (not @t30))) % 60.49/60.73 (define @t89 () (not @t88)) % 60.49/60.73 (define @t90 () (or @t84 @t81)) % 60.49/60.73 (define @t91 () (forall @t5 (or @t73 @t4))) % 60.49/60.73 (define @t92 () (@list false false)) % 60.49/60.73 (define @t93 () (tptp.s0 240 40)) % 60.49/60.73 (define @t94 () (not @t93)) % 60.49/60.73 (define @t95 () (>= 240 240)) % 60.49/60.73 (define @t96 () (not @t95)) % 60.49/60.73 (define @t97 () (or @t94 @t96)) % 60.49/60.73 (define @t98 () (forall @t31 (or (not @t29) (not @t27)))) % 60.49/60.73 (define @t99 () (not @t63)) % 60.49/60.73 (define @t100 () (or @t99 @t93)) % 60.49/60.73 (define @t101 () (not @t100)) % 60.49/60.73 (define @t102 () (@list true false)) % 60.49/60.73 (define @t103 () (* -1 40)) % 60.49/60.73 (define @t104 () (+ @t103 240)) % 60.49/60.73 (define @t105 () (tptp.s4 @t104 40)) % 60.49/60.73 (define @t106 () (not @t105)) % 60.49/60.73 (define @t107 () (or @t106 @t93)) % 60.49/60.73 (define @t108 () (forall @t42 @t39)) % 60.49/60.73 (assume @p1 (forall @t5 (=> (and @t4 (>= @t2 200)) @t3))) % 60.49/60.73 (assume @p2 @t10) % 60.49/60.73 (assume @p3 (forall @t14 (=> (and @t3 @t13 @t12) (tptp.s2 @t2 @t11)))) % 60.49/60.73 (assume @p4 @t18) % 60.49/60.73 (assume @p5 (forall @t14 (=> (and (tptp.s2 @t2 @t1) (= @t11 (- (+ @t20 0) 40))) @t19))) % 60.49/60.73 (assume @p6 @t25) % 60.49/60.73 (assume @p7 @t36) % 60.49/60.73 (assume @p8 true) % 60.49/60.73 (step @p9 :rule aci_norm :args ((= (or @t38 false @t19) @t39))) % 60.49/60.73 (step @p10 :rule refl :args (@t19)) % 60.49/60.73 (step @p11 :rule evaluate :args ((not true))) % 60.49/60.73 (step @p12 :rule eq-refl :args (@t37)) % 60.49/60.73 (step @p13 :rule cong :premises (@p12) :args (@t40)) % 60.49/60.73 (step @p14 :rule trans :premises (@p13 @p11)) % 60.49/60.73 (step @p15 :rule refl :args (@t38)) % 60.49/60.73 (step @p16 :rule nary_cong :premises (@p15 @p14 @p10) :args (@t41)) % 60.49/60.73 (step @p17 :rule trans :premises (@p16 @p9)) % 60.49/60.73 (step @p18 :rule cong :premises (@p17) :args ((forall @t42 @t41))) % 60.49/60.73 (step @p19 :rule quant-var-elim-eq :args ((= (forall @t47 @t46) @t41))) % 60.49/60.73 (step @p20 :rule aci_norm :args ((= @t48 @t46))) % 60.49/60.73 (step @p21 :rule cong :premises (@p20) :args (@t49)) % 60.49/60.73 (step @p22 :rule trans :premises (@p21 @p19)) % 60.49/60.73 (step @p23 :rule cong :premises (@p22) :args (@t50)) % 60.49/60.73 (step @p24 :rule quant-merge-prenex :args ((= @t50 @t51))) % 60.49/60.73 (step @p25 :rule symm :premises (@p24)) % 60.49/60.73 (step @p26 :rule quant_var_reordering :args ((= (forall @t14 @t48) @t51))) % 60.49/60.73 (step @p27 :rule trans :premises (@p26 @p25 @p23)) % 60.49/60.73 (step @p28 :rule trans :premises (@p27 @p18)) % 60.49/60.73 (step @p29 :rule aci_norm :args ((= (or (or @t45 @t44) @t19) @t48))) % 60.49/60.73 (step @p30 :rule refl :args (@t19)) % 60.49/60.73 (step @p31 :rule bool-and-de-morgan :args (@t22 @t43 true)) % 60.49/60.73 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t52) @t19))) % 60.49/60.73 (step @p33 :rule trans :premises (@p32 @p29)) % 60.49/60.73 (step @p34 :rule bool-impl-elim :args (@t52 @t19)) % 60.49/60.73 (step @p35 :rule trans :premises (@p34 @p33)) % 60.49/60.73 (step @p36 :rule cong :premises (@p35) :args ((forall @t14 (=> @t52 @t19)))) % 60.49/60.73 (step @p37 :rule trans :premises (@p36 @p28)) % 60.49/60.73 (step @p38 :rule arith_poly_norm :args ((= (* 1 (- @t11 @t20)) (* -1 (- @t2 @t37))))) % 60.49/60.73 (step @p39 :rule arith_poly_norm_rel :premises (@p38) :args ((= @t21 @t43))) % 60.49/60.73 (step @p40 :rule refl :args (@t22)) % 60.49/60.73 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t23)) % 60.49/60.73 (step @p42 :rule cong :premises (@p41 @p10) :args (@t24)) % 60.49/60.73 (step @p43 :rule cong :premises (@p42) :args (@t25)) % 60.49/60.73 (step @p44 :rule trans :premises (@p43 @p37)) % 60.49/60.73 (step @p45 :rule eq_resolve :premises (@p6 @p44)) % 60.49/60.73 (step @p46 :rule aci_norm :args ((= (or (or @t55 @t54 @t53) @t15) @t56))) % 60.49/60.73 (step @p47 :rule refl :args (@t15)) % 60.49/60.73 (step @p48 :rule refl :args (@t53)) % 60.49/60.73 (step @p49 :rule bool-double-not-elim :args (@t54)) % 60.49/60.73 (step @p50 :rule refl :args (@t55)) % 60.49/60.73 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t59)) % 60.49/60.73 (step @p52 :rule aci_norm :args ((= (or @t55 (or @t58 @t53)) @t59))) % 60.49/60.73 (step @p53 :rule trans :premises (@p52 @p51)) % 60.49/60.73 (step @p54 :rule bool-and-de-morgan :args (@t57 @t12 true)) % 60.49/60.73 (step @p55 :rule nary_cong :premises (@p50 @p54) :args ((or @t55 (not (and @t57 @t12))))) % 60.49/60.73 (step @p56 :rule bool-and-de-morgan :args (@t6 @t57 (and @t12))) % 60.49/60.73 (step @p57 :rule trans :premises (@p56 @p55)) % 60.49/60.73 (step @p58 :rule trans :premises (@p57 @p53)) % 60.49/60.73 (step @p59 :rule nary_cong :premises (@p58 @p47) :args ((or (not @t60) @t15))) % 60.49/60.73 (step @p60 :rule trans :premises (@p59 @p46)) % 60.49/60.73 (step @p61 :rule bool-impl-elim :args (@t60 @t15)) % 60.49/60.73 (step @p62 :rule trans :premises (@p61 @p60)) % 60.49/60.73 (step @p63 :rule cong :premises (@p62) :args ((forall @t14 (=> @t60 @t15)))) % 60.49/60.73 (step @p64 :rule refl :args (@t15)) % 60.49/60.73 (step @p65 :rule refl :args (@t12)) % 60.49/60.73 (step @p66 :rule evaluate :args (@t61)) % 60.49/60.73 (step @p67 :rule refl :args (@t11)) % 60.49/60.73 (step @p68 :rule cong :premises (@p67 @p66) :args (@t62)) % 60.49/60.73 (step @p69 :rule cong :premises (@p68) :args ((not @t62))) % 60.49/60.73 (step @p70 :rule arith-leq-norm :args (@t11 40)) % 60.49/60.73 (step @p71 :rule trans :premises (@p70 @p69)) % 60.49/60.73 (step @p72 :rule refl :args (@t6)) % 60.49/60.73 (step @p73 :rule nary_cong :premises (@p72 @p71 @p65) :args (@t16)) % 60.49/60.73 (step @p74 :rule cong :premises (@p73 @p64) :args (@t17)) % 60.49/60.73 (step @p75 :rule cong :premises (@p74) :args (@t18)) % 60.49/60.73 (step @p76 :rule trans :premises (@p75 @p63)) % 60.49/60.73 (step @p77 :rule eq_resolve :premises (@p4 @p76)) % 60.49/60.73 (step @p78 :rule aci_norm :args ((= (or @t65 false false @t63) @t66))) % 60.49/60.73 (step @p79 :rule refl :args (@t63)) % 60.49/60.73 (step @p80 :rule evaluate :args (@t67)) % 60.49/60.73 (step @p81 :rule cong :premises (@p80) :args (@t68)) % 60.49/60.73 (step @p82 :rule trans :premises (@p81 @p11)) % 60.49/60.73 (step @p83 :rule evaluate :args (@t69)) % 60.49/60.73 (step @p84 :rule refl :args (@t65)) % 60.49/60.73 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p79) :args (@t70)) % 60.49/60.73 (step @p86 :rule trans :premises (@p85 @p78)) % 60.49/60.73 (step @p87 :rule refl :args (@t71)) % 60.49/60.73 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t71 @t70))) % 60.49/60.73 (assume-push @p211 @t71) % 60.49/60.73 (step @p90 :rule instantiate :premises (@p77) :args ((@list 200 200 40))) % 60.49/60.73 (step-pop @p212 :rule scope :premises (@p90)) % 60.49/60.73 (step @p91 :rule process_scope :premises (@p212) :args (@t70)) % 60.49/60.73 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 60.49/60.73 (step @p94 :rule implies_elim :premises (@p93)) % 60.49/60.73 (step @p95 :rule chain_m_resolution :premises (@p94 @p77) :args (@t66 @t72 (@list @t71))) % 60.49/60.73 (step @p96 :rule aci_norm :args ((= (or (or @t74 @t73) @t6) @t75))) % 60.49/60.73 (step @p97 :rule refl :args (@t6)) % 60.49/60.73 (step @p98 :rule bool-double-not-elim :args (@t73)) % 60.49/60.73 (step @p99 :rule refl :args (@t74)) % 60.49/60.73 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t74 @t77))) % 60.49/60.73 (step @p101 :rule bool-and-de-morgan :args (@t4 @t76 true)) % 60.49/60.73 (step @p102 :rule trans :premises (@p101 @p100)) % 60.49/60.73 (step @p103 :rule nary_cong :premises (@p102 @p97) :args ((or (not @t78) @t6))) % 60.49/60.73 (step @p104 :rule trans :premises (@p103 @p96)) % 60.49/60.73 (step @p105 :rule bool-impl-elim :args (@t78 @t6)) % 60.49/60.73 (step @p106 :rule trans :premises (@p105 @p104)) % 60.49/60.73 (step @p107 :rule cong :premises (@p106) :args ((forall @t5 (=> @t78 @t6)))) % 60.49/60.73 (step @p108 :rule evaluate :args (@t79)) % 60.49/60.73 (step @p109 :rule refl :args (@t2)) % 60.49/60.73 (step @p110 :rule cong :premises (@p109 @p108) :args (@t80)) % 60.49/60.73 (step @p111 :rule cong :premises (@p110) :args ((not @t80))) % 60.49/60.73 (step @p112 :rule arith-leq-norm :args (@t2 200)) % 60.49/60.73 (step @p113 :rule trans :premises (@p112 @p111)) % 60.49/60.73 (step @p114 :rule refl :args (@t4)) % 60.49/60.73 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t8)) % 60.49/60.73 (step @p116 :rule cong :premises (@p115 @p72) :args (@t9)) % 60.49/60.73 (step @p117 :rule cong :premises (@p116) :args (@t10)) % 60.49/60.73 (step @p118 :rule trans :premises (@p117 @p107)) % 60.49/60.73 (step @p119 :rule eq_resolve :premises (@p2 @p118)) % 60.49/60.73 (step @p120 :rule aci_norm :args ((= (or @t82 false @t64) @t83))) % 60.49/60.73 (step @p121 :rule refl :args (@t64)) % 60.49/60.73 (step @p122 :rule evaluate :args (@t84)) % 60.49/60.73 (step @p123 :rule refl :args (@t82)) % 60.49/60.73 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args (@t85)) % 60.49/60.73 (step @p125 :rule trans :premises (@p124 @p120)) % 60.49/60.73 (step @p126 :rule refl :args (@t86)) % 60.49/60.73 (step @p127 :rule cong :premises (@p126 @p125) :args ((=> @t86 @t85))) % 60.49/60.73 (assume-push @p213 @t86) % 60.49/60.73 (step @p129 :rule instantiate :premises (@p119) :args (@t87)) % 60.49/60.73 (step-pop @p214 :rule scope :premises (@p129)) % 60.49/60.73 (step @p130 :rule process_scope :premises (@p214) :args (@t85)) % 60.49/60.73 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 60.49/60.73 (step @p133 :rule implies_elim :premises (@p132)) % 60.49/60.73 (step @p134 :rule chain_m_resolution :premises (@p133 @p119) :args (@t83 @t72 (@list @t86))) % 60.49/60.73 (step @p135 :rule bool-and-de-morgan :args (@t29 @t27 true)) % 60.49/60.73 (step @p136 :rule cong :premises (@p135) :args (@t88)) % 60.49/60.73 (step @p137 :rule cong :premises (@p136) :args (@t89)) % 60.49/60.73 (step @p138 :rule exists-elim :args ((= @t32 @t89))) % 60.49/60.73 (step @p139 :rule trans :premises (@p138 @p137)) % 60.49/60.73 (step @p140 :rule refl :args (@t4)) % 60.49/60.73 (step @p141 :rule nary_cong :premises (@p98 @p140) :args ((or @t77 @t4))) % 60.49/60.73 (step @p142 :rule bool-impl-elim :args (@t76 @t4)) % 60.49/60.73 (step @p143 :rule trans :premises (@p142 @p141)) % 60.49/60.73 (step @p144 :rule cong :premises (@p143) :args ((forall @t5 (=> @t76 @t4)))) % 60.49/60.73 (step @p145 :rule cong :premises (@p113 @p114) :args (@t33)) % 60.49/60.73 (step @p146 :rule cong :premises (@p145) :args (@t34)) % 60.49/60.73 (step @p147 :rule trans :premises (@p146 @p144)) % 60.49/60.73 (step @p148 :rule cong :premises (@p147 @p139) :args (@t35)) % 60.49/60.73 (step @p149 :rule cong :premises (@p148) :args (@t36)) % 60.49/60.73 (step @p150 :rule eq_resolve :premises (@p7 @p149)) % 60.49/60.73 (step @p151 :rule not_implies_elim1 :premises (@p150)) % 60.49/60.73 (step @p152 :rule aci_norm :args ((= (or false @t81) @t81))) % 60.49/60.73 (step @p153 :rule refl :args (@t81)) % 60.49/60.73 (step @p154 :rule nary_cong :premises (@p122 @p153) :args (@t90)) % 60.49/60.73 (step @p155 :rule trans :premises (@p154 @p152)) % 60.49/60.73 (step @p156 :rule refl :args (@t91)) % 60.49/60.73 (step @p157 :rule cong :premises (@p156 @p155) :args ((=> @t91 @t90))) % 60.49/60.73 (assume-push @p215 @t91) % 60.49/60.73 (step @p159 :rule instantiate :premises (@p151) :args (@t87)) % 60.49/60.73 (step-pop @p216 :rule scope :premises (@p159)) % 60.49/60.73 (step @p160 :rule process_scope :premises (@p216) :args (@t90)) % 60.49/60.73 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 60.49/60.73 (step @p163 :rule implies_elim :premises (@p162)) % 60.49/60.73 (step @p164 :rule chain_m_resolution :premises (@p163 @p151) :args (@t81 @t72 (@list @t91))) % 60.49/60.73 (step @p165 :rule cnf_or_pos :args (@t83)) % 60.49/60.73 (step @p166 :rule reordering :premises (@p165) :args ((or @t82 @t64 (not @t83)))) % 60.49/60.73 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p134) :args (@t64 @t92 (@list @t81 @t83))) % 60.49/60.73 (step @p168 :rule cnf_or_pos :args (@t66)) % 60.49/60.73 (step @p169 :rule reordering :premises (@p168) :args ((or @t65 @t63 (not @t66)))) % 60.49/60.73 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p95) :args (@t63 @t92 (@list @t64 @t66))) % 60.49/60.73 (step @p171 :rule not_implies_elim2 :premises (@p150)) % 60.49/60.73 (step @p172 :rule not_not_elim :premises (@p171)) % 60.49/60.73 (step @p173 :rule aci_norm :args ((= (or @t94 false) @t94))) % 60.49/60.73 (step @p174 :rule evaluate :args (@t95)) % 60.49/60.73 (step @p175 :rule cong :premises (@p174) :args (@t96)) % 60.49/60.73 (step @p176 :rule trans :premises (@p175 @p11)) % 60.49/60.73 (step @p177 :rule refl :args (@t94)) % 60.49/60.73 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t97)) % 60.49/60.73 (step @p179 :rule trans :premises (@p178 @p173)) % 60.49/60.73 (step @p180 :rule refl :args (@t98)) % 60.49/60.73 (step @p181 :rule cong :premises (@p180 @p179) :args ((=> @t98 @t97))) % 60.49/60.73 (assume-push @p217 @t98) % 60.49/60.73 (step @p183 :rule instantiate :premises (@p172) :args ((@list 240 40))) % 60.49/60.73 (step-pop @p218 :rule scope :premises (@p183)) % 60.49/60.73 (step @p184 :rule process_scope :premises (@p218) :args (@t97)) % 60.49/60.73 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 60.49/60.73 (step @p187 :rule implies_elim :premises (@p186)) % 60.49/60.73 (step @p188 :rule chain_m_resolution :premises (@p187 @p172) :args (@t94 @t72 (@list @t98))) % 60.49/60.73 (step @p189 :rule cnf_or_pos :args (@t100)) % 60.49/60.73 (step @p190 :rule reordering :premises (@p189) :args ((or @t93 @t99 @t101))) % 60.49/60.73 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p170) :args (@t101 @t102 (@list @t93 @t63))) % 60.49/60.73 (step @p192 :rule refl :args (@t93)) % 60.49/60.73 (step @p193 :rule refl :args (40)) % 60.49/60.73 (step @p194 :rule evaluate :args ((+ -40 240))) % 60.49/60.73 (step @p195 :rule refl :args (240)) % 60.49/60.73 (step @p196 :rule evaluate :args (@t103)) % 60.49/60.73 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t104)) % 60.49/60.73 (step @p198 :rule trans :premises (@p197 @p194)) % 60.49/60.73 (step @p199 :rule cong :premises (@p198 @p193) :args (@t105)) % 60.49/60.73 (step @p200 :rule cong :premises (@p199) :args (@t106)) % 60.49/60.73 (step @p201 :rule nary_cong :premises (@p200 @p192) :args (@t107)) % 60.49/60.73 (step @p202 :rule refl :args (@t108)) % 60.49/60.73 (step @p203 :rule cong :premises (@p202 @p201) :args ((=> @t108 @t107))) % 60.49/60.73 (assume-push @p219 @t108) % 60.49/60.73 (step @p205 :rule instantiate :premises (@p45) :args ((@list 40 240))) % 60.49/60.73 (step-pop @p220 :rule scope :premises (@p205)) % 60.49/60.73 (step @p206 :rule process_scope :premises (@p220) :args (@t107)) % 60.49/60.73 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 60.49/60.73 (step @p209 :rule implies_elim :premises (@p208)) % 60.49/60.73 (step @p210 false :rule chain_m_resolution :premises (@p209 @p191 @p45) :args (false @t102 (@list @t100 @t108))) % 60.49/60.73 ) % 60.49/60.73 % SZS output end Proof % 60.49/60.73 % cvc5 exiting %------------------------------------------------------------------------------