%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT098_1 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:14:30 AM UTC 2026 % Result : Theorem 0.43s 0.64s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT098_1 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 22:28:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_ARI % 0.43/0.64 --- Run --finite-model-find --decision=internal at 45... % 0.43/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.43/0.64 % SZS status Theorem % 0.43/0.64 % SZS output start Proof % 0.43/0.64 ( % 0.43/0.64 (declare-sort tptp.list 0) % 0.43/0.64 (declare-const tptp.inRange (-> Int tptp.list Bool)) % 0.43/0.64 (declare-const tptp.nil tptp.list) % 0.43/0.64 (declare-const tptp.tail (-> tptp.list tptp.list)) % 0.43/0.64 (declare-const tptp.head (-> tptp.list Int)) % 0.43/0.64 (declare-const tptp.cons (-> Int tptp.list tptp.list)) % 0.43/0.64 (define @t1 () (@var "K" Int)) % 0.43/0.64 (define @t2 () (@var "L" tptp.list)) % 0.43/0.64 (define @t3 () (tptp.cons @t1 @t2)) % 0.43/0.64 (define @t4 () (@list @t1 @t2)) % 0.43/0.64 (define @t5 () (= @t2 tptp.nil)) % 0.43/0.64 (define @t6 () (@var "T" tptp.list)) % 0.43/0.64 (define @t7 () (@var "N" Int)) % 0.43/0.64 (define @t8 () (tptp.inRange @t7 @t6)) % 0.43/0.64 (define @t9 () (tptp.cons @t1 @t6)) % 0.43/0.64 (define @t10 () (= @t2 @t9)) % 0.43/0.64 (define @t11 () (and @t10 (<= 0 @t1) (< @t1 @t7) @t8)) % 0.43/0.64 (define @t12 () (@list @t1 @t6)) % 0.43/0.64 (define @t13 () (exists @t12 @t11)) % 0.43/0.64 (define @t14 () (or @t5 @t13)) % 0.43/0.64 (define @t15 () (tptp.inRange @t7 @t2)) % 0.43/0.64 (define @t16 () (= @t15 @t14)) % 0.43/0.64 (define @t17 () (@list @t7 @t2)) % 0.43/0.64 (define @t18 () (forall @t17 @t16)) % 0.43/0.64 (define @t19 () (tptp.cons 2 tptp.nil)) % 0.43/0.64 (define @t20 () (tptp.cons 3 @t19)) % 0.43/0.64 (define @t21 () (tptp.cons 1 @t20)) % 0.43/0.64 (define @t22 () (tptp.inRange 4 @t21)) % 0.43/0.64 (define @t23 () (not @t8)) % 0.43/0.64 (define @t24 () (+ @t1 (* -1 @t7))) % 0.43/0.64 (define @t25 () (>= @t24 0)) % 0.43/0.64 (define @t26 () (>= @t1 0)) % 0.43/0.64 (define @t27 () (not @t26)) % 0.43/0.64 (define @t28 () (not @t10)) % 0.43/0.64 (define @t29 () (not @t25)) % 0.43/0.64 (define @t30 () (not @t29)) % 0.43/0.64 (define @t31 () (or @t28 @t27 @t30 @t23)) % 0.43/0.64 (define @t32 () (and @t10 @t26 @t29 @t8)) % 0.43/0.64 (define @t33 () (forall @t12 (not @t32))) % 0.43/0.64 (define @t34 () (not @t33)) % 0.43/0.64 (define @t35 () (>= @t1 @t7)) % 0.43/0.64 (define @t36 () (tptp.inRange 4 tptp.nil)) % 0.43/0.64 (define @t37 () (not (tptp.inRange 4 @t6))) % 0.43/0.64 (define @t38 () (>= @t1 4)) % 0.43/0.64 (define @t39 () (not (= tptp.nil @t9))) % 0.43/0.64 (define @t40 () (+ -4 @t1)) % 0.43/0.64 (define @t41 () (* -1 4)) % 0.43/0.64 (define @t42 () (+ @t1 @t41)) % 0.43/0.64 (define @t43 () (>= @t42 0)) % 0.43/0.64 (define @t44 () (or @t39 @t27 @t43 @t37)) % 0.43/0.64 (define @t45 () (forall @t12 @t44)) % 0.43/0.64 (define @t46 () (not @t45)) % 0.43/0.64 (define @t47 () (or (= tptp.nil tptp.nil) @t46)) % 0.43/0.64 (define @t48 () (= @t36 @t47)) % 0.43/0.64 (define @t49 () (forall @t17 (= @t15 (or (= tptp.nil @t2) (not (forall @t12 (or @t28 @t27 @t25 @t23))))))) % 0.43/0.64 (define @t50 () (@list false)) % 0.43/0.64 (define @t51 () (@list @t49)) % 0.43/0.64 (define @t52 () (not (= @t19 @t9))) % 0.43/0.64 (define @t53 () (or @t52 @t27 @t43 @t37)) % 0.43/0.64 (define @t54 () (forall @t12 @t53)) % 0.43/0.64 (define @t55 () (not @t54)) % 0.43/0.64 (define @t56 () (= tptp.nil @t19)) % 0.43/0.64 (define @t57 () (or @t56 @t55)) % 0.43/0.64 (define @t58 () (tptp.inRange 4 @t19)) % 0.43/0.64 (define @t59 () (= @t58 @t57)) % 0.43/0.64 (define @t60 () (forall @t12 (or (not (= @t9 @t19)) @t27 @t38 @t37))) % 0.43/0.64 (define @t61 () (not @t60)) % 0.43/0.64 (define @t62 () (or @t56 @t61)) % 0.43/0.64 (define @t63 () (= @t58 @t62)) % 0.43/0.64 (define @t64 () (not (= @t20 @t9))) % 0.43/0.64 (define @t65 () (or @t64 @t27 @t43 @t37)) % 0.43/0.64 (define @t66 () (forall @t12 @t65)) % 0.43/0.64 (define @t67 () (not @t66)) % 0.43/0.64 (define @t68 () (= tptp.nil @t20)) % 0.43/0.64 (define @t69 () (or @t68 @t67)) % 0.43/0.64 (define @t70 () (tptp.inRange 4 @t20)) % 0.43/0.64 (define @t71 () (= @t70 @t69)) % 0.43/0.64 (define @t72 () (forall @t12 (or (not (= @t9 @t20)) @t27 @t38 @t37))) % 0.43/0.64 (define @t73 () (not @t72)) % 0.43/0.64 (define @t74 () (or @t68 @t73)) % 0.43/0.64 (define @t75 () (= @t70 @t74)) % 0.43/0.64 (define @t76 () (not (= @t21 @t9))) % 0.43/0.64 (define @t77 () (or @t76 @t27 @t43 @t37)) % 0.43/0.64 (define @t78 () (forall @t12 @t77)) % 0.43/0.64 (define @t79 () (not @t78)) % 0.43/0.64 (define @t80 () (= tptp.nil @t21)) % 0.43/0.64 (define @t81 () (or @t80 @t79)) % 0.43/0.64 (define @t82 () (= @t22 @t81)) % 0.43/0.64 (define @t83 () (forall @t12 (or (not (= @t9 @t21)) @t27 @t38 @t37))) % 0.43/0.64 (define @t84 () (not @t83)) % 0.43/0.64 (define @t85 () (or @t80 @t84)) % 0.43/0.64 (define @t86 () (= @t22 @t85)) % 0.43/0.64 (define @t87 () (not @t85)) % 0.43/0.64 (define @t88 () (@list true false)) % 0.43/0.64 (define @t89 () (@list true)) % 0.43/0.64 (define @t90 () (not @t70)) % 0.43/0.64 (define @t91 () (>= 1 4)) % 0.43/0.64 (define @t92 () (>= 1 0)) % 0.43/0.64 (define @t93 () (not @t92)) % 0.43/0.64 (define @t94 () (not (= @t21 @t21))) % 0.43/0.64 (define @t95 () (or @t94 @t93 @t91 @t90)) % 0.43/0.64 (define @t96 () (not @t74)) % 0.43/0.64 (define @t97 () (not @t58)) % 0.43/0.64 (define @t98 () (>= 3 4)) % 0.43/0.64 (define @t99 () (>= 3 0)) % 0.43/0.64 (define @t100 () (not @t99)) % 0.43/0.64 (define @t101 () (not (= @t20 @t20))) % 0.43/0.64 (define @t102 () (or @t101 @t100 @t98 @t97)) % 0.43/0.64 (define @t103 () (not @t62)) % 0.43/0.64 (define @t104 () (not @t36)) % 0.43/0.64 (define @t105 () (>= 2 4)) % 0.43/0.64 (define @t106 () (>= 2 0)) % 0.43/0.64 (define @t107 () (not @t106)) % 0.43/0.64 (define @t108 () (not (= @t19 @t19))) % 0.43/0.64 (define @t109 () (or @t108 @t107 @t105 @t104)) % 0.43/0.64 (assume @p1 (forall @t4 (= (tptp.head @t3) @t1))) % 0.43/0.64 (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2))) % 0.43/0.64 (assume @p3 (forall (@list @t2) (or @t5 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2)))))) % 0.43/0.64 (assume @p4 (forall @t4 (not (= @t3 tptp.nil)))) % 0.43/0.64 (assume @p5 @t18) % 0.43/0.64 (assume @p6 (not @t22)) % 0.43/0.64 (assume @p7 true) % 0.43/0.64 (step @p8 :rule refl :args (@t23)) % 0.43/0.64 (step @p9 :rule bool-double-not-elim :args (@t25)) % 0.43/0.64 (step @p10 :rule refl :args (@t27)) % 0.43/0.64 (step @p11 :rule refl :args (@t28)) % 0.43/0.64 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9 @p8) :args (@t31)) % 0.43/0.64 (step @p13 :rule aci_norm :args ((= (or @t28 (or @t27 (or @t30 @t23))) @t31))) % 0.43/0.64 (step @p14 :rule trans :premises (@p13 @p12)) % 0.43/0.64 (step @p15 :rule bool-and-de-morgan :args (@t29 @t8 true)) % 0.43/0.64 (step @p16 :rule nary_cong :premises (@p10 @p15) :args ((or @t27 (not (and @t29 @t8))))) % 0.43/0.64 (step @p17 :rule bool-and-de-morgan :args (@t26 @t29 (and @t8))) % 0.43/0.64 (step @p18 :rule trans :premises (@p17 @p16)) % 0.43/0.64 (step @p19 :rule nary_cong :premises (@p11 @p18) :args ((or @t28 (not (and @t26 @t29 @t8))))) % 0.43/0.64 (step @p20 :rule bool-and-de-morgan :args (@t10 @t26 (and @t29 @t8))) % 0.43/0.64 (step @p21 :rule trans :premises (@p20 @p19)) % 0.43/0.64 (step @p22 :rule trans :premises (@p21 @p14)) % 0.43/0.64 (step @p23 :rule cong :premises (@p22) :args (@t33)) % 0.43/0.64 (step @p24 :rule cong :premises (@p23) :args (@t34)) % 0.43/0.64 (step @p25 :rule exists-elim :args ((= (exists @t12 @t32) @t34))) % 0.43/0.64 (step @p26 :rule trans :premises (@p25 @p24)) % 0.43/0.64 (step @p27 :rule refl :args (@t8)) % 0.43/0.64 (step @p28 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t7)) (* 1 (- @t24 0))))) % 0.43/0.64 (step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= @t35 @t25))) % 0.43/0.64 (step @p30 :rule cong :premises (@p29) :args ((not @t35))) % 0.43/0.64 (step @p31 :rule arith-elim-lt :args (@t1 @t7)) % 0.43/0.64 (step @p32 :rule trans :premises (@p31 @p30)) % 0.43/0.64 (step @p33 :rule arith-elim-leq :args (0 @t1)) % 0.43/0.64 (step @p34 :rule refl :args (@t10)) % 0.43/0.64 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32 @p27) :args (@t11)) % 0.43/0.64 (step @p36 :rule cong :premises (@p35) :args (@t13)) % 0.43/0.64 (step @p37 :rule trans :premises (@p36 @p26)) % 0.43/0.64 (step @p38 :rule eq-symm :args (@t2 tptp.nil)) % 0.43/0.64 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t14)) % 0.43/0.64 (step @p40 :rule refl :args (@t15)) % 0.43/0.64 (step @p41 :rule cong :premises (@p40 @p39) :args (@t16)) % 0.43/0.64 (step @p42 :rule cong :premises (@p41) :args (@t18)) % 0.43/0.64 (step @p43 :rule eq_resolve :premises (@p5 @p42)) % 0.43/0.64 (step @p44 :rule bool-eq-true :args (@t36)) % 0.43/0.64 (step @p45 :rule absorb :args ((= (or true (not (forall @t12 (or @t39 @t27 @t38 @t37)))) true))) % 0.43/0.64 (step @p46 :rule refl :args (@t37)) % 0.43/0.64 (step @p47 :rule arith_poly_norm :args ((= (* -4 (- @t40 0)) (* -4 (- @t1 4))))) % 0.43/0.64 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= (>= @t40 0) @t38))) % 0.43/0.64 (step @p49 :rule refl :args (0)) % 0.43/0.64 (step @p50 :rule arith_poly_norm :args ((= (+ @t1 -4) @t40))) % 0.43/0.64 (step @p51 :rule evaluate :args (@t41)) % 0.43/0.64 (step @p52 :rule refl :args (@t1)) % 0.43/0.64 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t42)) % 0.43/0.64 (step @p54 :rule trans :premises (@p53 @p50)) % 0.43/0.64 (step @p55 :rule cong :premises (@p54 @p49) :args (@t43)) % 0.43/0.64 (step @p56 :rule trans :premises (@p55 @p48)) % 0.43/0.64 (step @p57 :rule refl :args (@t27)) % 0.43/0.64 (step @p58 :rule refl :args (@t39)) % 0.43/0.64 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p46) :args (@t44)) % 0.43/0.64 (step @p60 :rule cong :premises (@p59) :args (@t45)) % 0.43/0.64 (step @p61 :rule cong :premises (@p60) :args (@t46)) % 0.43/0.64 (step @p62 :rule eq-refl :args (tptp.nil)) % 0.43/0.64 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t47)) % 0.43/0.64 (step @p64 :rule trans :premises (@p63 @p45)) % 0.43/0.64 (step @p65 :rule refl :args (@t36)) % 0.43/0.64 (step @p66 :rule cong :premises (@p65 @p64) :args (@t48)) % 0.43/0.64 (step @p67 :rule trans :premises (@p66 @p44)) % 0.43/0.64 (step @p68 :rule refl :args (@t49)) % 0.43/0.64 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t49 @t48))) % 0.43/0.64 (assume-push @p221 @t49) % 0.43/0.64 (step @p71 :rule instantiate :premises (@p43) :args ((@list 4 tptp.nil))) % 0.43/0.64 (step-pop @p222 :rule scope :premises (@p71)) % 0.43/0.64 (step @p72 :rule process_scope :premises (@p222) :args (@t48)) % 0.43/0.64 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.43/0.64 (step @p75 :rule implies_elim :premises (@p74)) % 0.43/0.64 (step @p76 :rule chain_m_resolution :premises (@p75 @p43) :args (@t36 @t50 @t51)) % 0.43/0.64 (step @p77 :rule eq-symm :args (@t19 @t9)) % 0.43/0.64 (step @p78 :rule cong :premises (@p77) :args (@t52)) % 0.43/0.64 (step @p79 :rule nary_cong :premises (@p78 @p57 @p56 @p46) :args (@t53)) % 0.43/0.64 (step @p80 :rule cong :premises (@p79) :args (@t54)) % 0.43/0.64 (step @p81 :rule cong :premises (@p80) :args (@t55)) % 0.43/0.64 (step @p82 :rule refl :args (@t56)) % 0.43/0.64 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t57)) % 0.43/0.64 (step @p84 :rule refl :args (@t58)) % 0.43/0.64 (step @p85 :rule cong :premises (@p84 @p83) :args (@t59)) % 0.43/0.64 (step @p86 :rule cong :premises (@p68 @p85) :args ((=> @t49 @t59))) % 0.43/0.64 (assume-push @p223 @t49) % 0.43/0.64 (step @p88 :rule instantiate :premises (@p43) :args ((@list 4 @t19))) % 0.43/0.64 (step-pop @p224 :rule scope :premises (@p88)) % 0.43/0.64 (step @p89 :rule process_scope :premises (@p224) :args (@t59)) % 0.43/0.64 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 0.43/0.64 (step @p92 :rule implies_elim :premises (@p91)) % 0.43/0.64 (step @p93 :rule chain_m_resolution :premises (@p92 @p43) :args (@t63 @t50 @t51)) % 0.43/0.64 (step @p94 :rule eq-symm :args (@t20 @t9)) % 0.43/0.64 (step @p95 :rule cong :premises (@p94) :args (@t64)) % 0.43/0.64 (step @p96 :rule nary_cong :premises (@p95 @p57 @p56 @p46) :args (@t65)) % 0.43/0.64 (step @p97 :rule cong :premises (@p96) :args (@t66)) % 0.43/0.64 (step @p98 :rule cong :premises (@p97) :args (@t67)) % 0.43/0.64 (step @p99 :rule refl :args (@t68)) % 0.43/0.64 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t69)) % 0.43/0.64 (step @p101 :rule refl :args (@t70)) % 0.43/0.64 (step @p102 :rule cong :premises (@p101 @p100) :args (@t71)) % 0.43/0.64 (step @p103 :rule cong :premises (@p68 @p102) :args ((=> @t49 @t71))) % 0.43/0.64 (assume-push @p225 @t49) % 0.43/0.64 (step @p105 :rule instantiate :premises (@p43) :args ((@list 4 @t20))) % 0.43/0.64 (step-pop @p226 :rule scope :premises (@p105)) % 0.43/0.64 (step @p106 :rule process_scope :premises (@p226) :args (@t71)) % 0.43/0.64 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 0.43/0.64 (step @p109 :rule implies_elim :premises (@p108)) % 0.43/0.64 (step @p110 :rule chain_m_resolution :premises (@p109 @p43) :args (@t75 @t50 @t51)) % 0.43/0.64 (step @p111 :rule eq-symm :args (@t21 @t9)) % 0.43/0.64 (step @p112 :rule cong :premises (@p111) :args (@t76)) % 0.43/0.64 (step @p113 :rule nary_cong :premises (@p112 @p57 @p56 @p46) :args (@t77)) % 0.43/0.64 (step @p114 :rule cong :premises (@p113) :args (@t78)) % 0.43/0.64 (step @p115 :rule cong :premises (@p114) :args (@t79)) % 0.43/0.64 (step @p116 :rule refl :args (@t80)) % 0.43/0.64 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t81)) % 0.43/0.64 (step @p118 :rule refl :args (@t22)) % 0.43/0.64 (step @p119 :rule cong :premises (@p118 @p117) :args (@t82)) % 0.43/0.64 (step @p120 :rule cong :premises (@p68 @p119) :args ((=> @t49 @t82))) % 0.43/0.64 (assume-push @p227 @t49) % 0.43/0.64 (step @p122 :rule instantiate :premises (@p43) :args ((@list 4 @t21))) % 0.43/0.64 (step-pop @p228 :rule scope :premises (@p122)) % 0.43/0.64 (step @p123 :rule process_scope :premises (@p228) :args (@t82)) % 0.43/0.64 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.43/0.64 (step @p126 :rule implies_elim :premises (@p125)) % 0.43/0.64 (step @p127 :rule chain_m_resolution :premises (@p126 @p43) :args (@t86 @t50 @t51)) % 0.43/0.64 (step @p128 :rule cnf_equiv_pos2 :args (@t86)) % 0.43/0.64 (step @p129 :rule reordering :premises (@p128) :args ((or @t22 @t87 (not @t86)))) % 0.43/0.64 (step @p130 :rule chain_m_resolution :premises (@p129 @p6 @p127) :args (@t87 @t88 (@list @t22 @t86))) % 0.43/0.64 (step @p131 :rule bool-double-not-elim :args (@t83)) % 0.43/0.64 (step @p132 :rule refl :args (@t85)) % 0.43/0.64 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t85 (not @t84)))) % 0.43/0.64 (step @p134 :rule cnf_or_neg :args (@t85 1)) % 0.43/0.64 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.43/0.64 (step @p136 :rule reordering :premises (@p135) :args ((or @t83 @t85))) % 0.43/0.64 (step @p137 :rule chain_m_resolution :premises (@p136 @p130) :args (@t83 @t89 (@list @t85))) % 0.43/0.64 (step @p138 :rule aci_norm :args ((= (or false false false @t90) @t90))) % 0.43/0.64 (step @p139 :rule refl :args (@t90)) % 0.43/0.64 (step @p140 :rule evaluate :args (@t91)) % 0.43/0.64 (step @p141 :rule evaluate :args ((not true))) % 0.43/0.64 (step @p142 :rule evaluate :args (@t92)) % 0.43/0.64 (step @p143 :rule cong :premises (@p142) :args (@t93)) % 0.43/0.64 (step @p144 :rule trans :premises (@p143 @p141)) % 0.43/0.64 (step @p145 :rule eq-refl :args (@t21)) % 0.43/0.64 (step @p146 :rule cong :premises (@p145) :args (@t94)) % 0.43/0.64 (step @p147 :rule trans :premises (@p146 @p141)) % 0.43/0.64 (step @p148 :rule nary_cong :premises (@p147 @p144 @p140 @p139) :args (@t95)) % 0.43/0.64 (step @p149 :rule trans :premises (@p148 @p138)) % 0.43/0.64 (step @p150 :rule refl :args (@t83)) % 0.43/0.64 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t83 @t95))) % 0.43/0.64 (assume-push @p229 @t83) % 0.43/0.64 (step @p153 :rule instantiate :premises (@p137) :args ((@list 1 @t20))) % 0.43/0.64 (step-pop @p230 :rule scope :premises (@p153)) % 0.43/0.64 (step @p154 :rule process_scope :premises (@p230) :args (@t95)) % 0.43/0.64 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 0.43/0.64 (step @p157 :rule implies_elim :premises (@p156)) % 0.43/0.64 (step @p158 :rule chain_m_resolution :premises (@p157 @p137) :args (@t90 @t50 (@list @t83))) % 0.43/0.64 (step @p159 :rule cnf_equiv_pos2 :args (@t75)) % 0.43/0.64 (step @p160 :rule reordering :premises (@p159) :args ((or @t70 @t96 (not @t75)))) % 0.43/0.64 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p110) :args (@t96 @t88 (@list @t70 @t75))) % 0.43/0.64 (step @p162 :rule bool-double-not-elim :args (@t72)) % 0.43/0.64 (step @p163 :rule refl :args (@t74)) % 0.43/0.64 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t74 (not @t73)))) % 0.43/0.64 (step @p165 :rule cnf_or_neg :args (@t74 1)) % 0.43/0.64 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.43/0.64 (step @p167 :rule reordering :premises (@p166) :args ((or @t72 @t74))) % 0.43/0.64 (step @p168 :rule chain_m_resolution :premises (@p167 @p161) :args (@t72 @t89 (@list @t74))) % 0.43/0.64 (step @p169 :rule aci_norm :args ((= (or false false false @t97) @t97))) % 0.43/0.64 (step @p170 :rule refl :args (@t97)) % 0.43/0.64 (step @p171 :rule evaluate :args (@t98)) % 0.43/0.64 (step @p172 :rule evaluate :args (@t99)) % 0.43/0.64 (step @p173 :rule cong :premises (@p172) :args (@t100)) % 0.43/0.64 (step @p174 :rule trans :premises (@p173 @p141)) % 0.43/0.64 (step @p175 :rule eq-refl :args (@t20)) % 0.43/0.64 (step @p176 :rule cong :premises (@p175) :args (@t101)) % 0.43/0.64 (step @p177 :rule trans :premises (@p176 @p141)) % 0.43/0.64 (step @p178 :rule nary_cong :premises (@p177 @p174 @p171 @p170) :args (@t102)) % 0.43/0.64 (step @p179 :rule trans :premises (@p178 @p169)) % 0.43/0.64 (step @p180 :rule refl :args (@t72)) % 0.43/0.64 (step @p181 :rule cong :premises (@p180 @p179) :args ((=> @t72 @t102))) % 0.43/0.64 (assume-push @p231 @t72) % 0.43/0.64 (step @p183 :rule instantiate :premises (@p168) :args ((@list 3 @t19))) % 0.43/0.64 (step-pop @p232 :rule scope :premises (@p183)) % 0.43/0.64 (step @p184 :rule process_scope :premises (@p232) :args (@t102)) % 0.43/0.64 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 0.43/0.64 (step @p187 :rule implies_elim :premises (@p186)) % 0.43/0.64 (step @p188 :rule reordering :premises (@p187) :args ((or @t97 @t73))) % 0.43/0.64 (step @p189 :rule chain_m_resolution :premises (@p188 @p168) :args (@t97 @t50 (@list @t72))) % 0.43/0.64 (step @p190 :rule cnf_equiv_pos2 :args (@t63)) % 0.43/0.64 (step @p191 :rule reordering :premises (@p190) :args ((or @t58 @t103 (not @t63)))) % 0.43/0.64 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p93) :args (@t103 @t88 (@list @t58 @t63))) % 0.43/0.64 (step @p193 :rule bool-double-not-elim :args (@t60)) % 0.43/0.64 (step @p194 :rule refl :args (@t62)) % 0.43/0.64 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t62 (not @t61)))) % 0.43/0.64 (step @p196 :rule cnf_or_neg :args (@t62 1)) % 0.43/0.64 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 0.43/0.64 (step @p198 :rule reordering :premises (@p197) :args ((or @t60 @t62))) % 0.43/0.64 (step @p199 :rule chain_m_resolution :premises (@p198 @p192) :args (@t60 @t89 (@list @t62))) % 0.43/0.64 (step @p200 :rule aci_norm :args ((= (or false false false @t104) @t104))) % 0.43/0.64 (step @p201 :rule refl :args (@t104)) % 0.43/0.64 (step @p202 :rule evaluate :args (@t105)) % 0.43/0.64 (step @p203 :rule evaluate :args (@t106)) % 0.43/0.64 (step @p204 :rule cong :premises (@p203) :args (@t107)) % 0.43/0.64 (step @p205 :rule trans :premises (@p204 @p141)) % 0.43/0.64 (step @p206 :rule eq-refl :args (@t19)) % 0.43/0.64 (step @p207 :rule cong :premises (@p206) :args (@t108)) % 0.43/0.64 (step @p208 :rule trans :premises (@p207 @p141)) % 0.43/0.64 (step @p209 :rule nary_cong :premises (@p208 @p205 @p202 @p201) :args (@t109)) % 0.43/0.64 (step @p210 :rule trans :premises (@p209 @p200)) % 0.43/0.64 (step @p211 :rule refl :args (@t60)) % 0.43/0.64 (step @p212 :rule cong :premises (@p211 @p210) :args ((=> @t60 @t109))) % 0.43/0.64 (assume-push @p233 @t60) % 0.43/0.64 (step @p214 :rule instantiate :premises (@p199) :args ((@list 2 tptp.nil))) % 0.43/0.64 (step-pop @p234 :rule scope :premises (@p214)) % 0.43/0.64 (step @p215 :rule process_scope :premises (@p234) :args (@t109)) % 0.43/0.64 (step @p217 :rule eq_resolve :premises (@p215 @p212)) % 0.43/0.64 (step @p218 :rule implies_elim :premises (@p217)) % 0.43/0.64 (step @p219 :rule reordering :premises (@p218) :args ((or @t104 @t61))) % 0.43/0.64 (step @p220 false :rule chain_m_resolution :premises (@p219 @p199 @p76) :args (false (@list false false) (@list @t60 @t36))) % 0.43/0.64 ) % 0.43/0.64 % SZS output end Proof % 0.43/0.64 % cvc5 exiting %------------------------------------------------------------------------------