%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL901+1 : TPTP v9.3.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:08 AM UTC 2026 % Result : Theorem 0.64s 0.91s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL901+1 : TPTP v9.3.1. Released v5.5.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.38 % Computer : n001.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Sat Sep 5 10:28:16 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.64/0.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.64/0.91 % SZS status Theorem % 0.64/0.91 % SZS output start Proof % 0.64/0.91 ( % 0.64/0.91 (declare-sort $$unsorted 0) % 0.64/0.91 (declare-const |tptp.'==>'| (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.91 (declare-const |tptp.'1'| $$unsorted) % 0.64/0.91 (declare-const |tptp.'>='| (-> $$unsorted $$unsorted Bool)) % 0.64/0.91 (declare-const |tptp.'0'| $$unsorted) % 0.64/0.91 (declare-const |tptp.'+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.91 (define @t1 () (@var "C" $$unsorted)) % 0.64/0.91 (define @t2 () (@var "B" $$unsorted)) % 0.64/0.91 (define @t3 () (@var "A" $$unsorted)) % 0.64/0.91 (define @t4 () (|tptp.'+'| @t3 @t2)) % 0.64/0.91 (define @t5 () (@list @t3 @t2)) % 0.64/0.91 (define @t6 () (|tptp.'+'| @t3 |tptp.'0'|)) % 0.64/0.91 (define @t7 () (@list @t3)) % 0.64/0.91 (define @t8 () (forall @t7 (= @t6 @t3))) % 0.64/0.91 (define @t9 () (@var "X2" $$unsorted)) % 0.64/0.91 (define @t10 () (@var "X0" $$unsorted)) % 0.64/0.91 (define @t11 () (|tptp.'>='| @t10 @t9)) % 0.64/0.91 (define @t12 () (@var "X1" $$unsorted)) % 0.64/0.91 (define @t13 () (|tptp.'>='| @t12 @t9)) % 0.64/0.91 (define @t14 () (|tptp.'>='| @t10 @t12)) % 0.64/0.91 (define @t15 () (and @t14 @t13)) % 0.64/0.91 (define @t16 () (forall (@list @t10 @t12 @t9) (=> @t15 @t11))) % 0.64/0.91 (define @t17 () (@var "X4" $$unsorted)) % 0.64/0.91 (define @t18 () (@var "X3" $$unsorted)) % 0.64/0.91 (define @t19 () (= @t18 @t17)) % 0.64/0.91 (define @t20 () (|tptp.'>='| @t17 @t18)) % 0.64/0.91 (define @t21 () (|tptp.'>='| @t18 @t17)) % 0.64/0.91 (define @t22 () (and @t21 @t20)) % 0.64/0.91 (define @t23 () (@list @t18 @t17)) % 0.64/0.91 (define @t24 () (forall @t23 (=> @t22 @t19))) % 0.64/0.91 (define @t25 () (@var "X7" $$unsorted)) % 0.64/0.91 (define @t26 () (@var "X5" $$unsorted)) % 0.64/0.91 (define @t27 () (@var "X6" $$unsorted)) % 0.64/0.91 (define @t28 () (forall (@list @t26 @t27 @t25) (= (|tptp.'>='| (|tptp.'+'| @t26 @t27) @t25) (|tptp.'>='| @t27 (|tptp.'==>'| @t26 @t25))))) % 0.64/0.91 (define @t29 () (@var "X10" $$unsorted)) % 0.64/0.91 (define @t30 () (@var "X9" $$unsorted)) % 0.64/0.91 (define @t31 () (@var "X8" $$unsorted)) % 0.64/0.91 (define @t32 () (|tptp.'>='| (|tptp.'+'| @t31 @t29) (|tptp.'+'| @t30 @t29))) % 0.64/0.91 (define @t33 () (|tptp.'>='| @t31 @t30)) % 0.64/0.91 (define @t34 () (forall (@list @t31 @t30 @t29) (=> @t33 @t32))) % 0.64/0.91 (define @t35 () (@var "X13" $$unsorted)) % 0.64/0.91 (define @t36 () (@var "X11" $$unsorted)) % 0.64/0.91 (define @t37 () (@var "X12" $$unsorted)) % 0.64/0.91 (define @t38 () (|tptp.'>='| (|tptp.'==>'| @t37 @t35) (|tptp.'==>'| @t36 @t35))) % 0.64/0.91 (define @t39 () (|tptp.'>='| @t36 @t37)) % 0.64/0.91 (define @t40 () (forall (@list @t36 @t37 @t35) (=> @t39 @t38))) % 0.64/0.91 (define @t41 () (@var "X15" $$unsorted)) % 0.64/0.91 (define @t42 () (@var "X16" $$unsorted)) % 0.64/0.91 (define @t43 () (@var "X14" $$unsorted)) % 0.64/0.91 (define @t44 () (|tptp.'>='| (|tptp.'==>'| @t42 @t43) (|tptp.'==>'| @t42 @t41))) % 0.64/0.91 (define @t45 () (|tptp.'>='| @t43 @t41)) % 0.64/0.91 (define @t46 () (forall (@list @t43 @t41 @t42) (=> @t45 @t44))) % 0.64/0.91 (define @t47 () (|tptp.'+'| @t3 |tptp.'1'|)) % 0.64/0.91 (define @t48 () (forall @t7 (= @t47 |tptp.'1'|))) % 0.64/0.91 (define @t49 () (|tptp.'+'| @t3 @t3)) % 0.64/0.91 (define @t50 () (forall @t7 (= @t49 @t3))) % 0.64/0.91 (define @t51 () (@var "X17" $$unsorted)) % 0.64/0.91 (define @t52 () (|tptp.'==>'| (|tptp.'==>'| (|tptp.'==>'| @t51 |tptp.'1'|) @t51) @t51)) % 0.64/0.91 (define @t53 () (@list @t51)) % 0.64/0.91 (define @t54 () (forall @t53 (= @t52 |tptp.'0'|))) % 0.64/0.91 (define @t55 () (not @t54)) % 0.64/0.91 (define @t56 () (not @t20)) % 0.64/0.91 (define @t57 () (not @t21)) % 0.64/0.91 (define @t58 () (or @t57 @t56 @t19)) % 0.64/0.91 (define @t59 () (@quantifiers_skolemize (forall @t53 (= |tptp.'0'| @t52)) 0)) % 0.64/0.91 (define @t60 () (|tptp.'==>'| @t59 |tptp.'1'|)) % 0.64/0.91 (define @t61 () (|tptp.'==>'| @t59 @t60)) % 0.64/0.91 (define @t62 () (|tptp.'>='| @t60 @t61)) % 0.64/0.91 (define @t63 () (not @t62)) % 0.64/0.91 (define @t64 () (|tptp.'>='| @t61 @t60)) % 0.64/0.91 (define @t65 () (not @t64)) % 0.64/0.91 (define @t66 () (or @t65 @t63 (= @t61 @t60))) % 0.64/0.91 (define @t67 () (forall @t23 @t58)) % 0.64/0.91 (define @t68 () (= @t60 @t61)) % 0.64/0.91 (define @t69 () (or @t65 @t63 @t68)) % 0.64/0.91 (define @t70 () (@list false)) % 0.64/0.91 (define @t71 () (@list @t67)) % 0.64/0.91 (define @t72 () (|tptp.'+'| @t59 @t61)) % 0.64/0.91 (define @t73 () (|tptp.'>='| @t72 |tptp.'1'|)) % 0.64/0.91 (define @t74 () (= @t73 @t64)) % 0.64/0.91 (define @t75 () (= @t64 @t73)) % 0.64/0.91 (define @t76 () (@list @t28)) % 0.64/0.91 (define @t77 () (|tptp.'>='| (|tptp.'+'| @t59 @t72) |tptp.'1'|)) % 0.64/0.91 (define @t78 () (|tptp.'>='| @t72 @t60)) % 0.64/0.91 (define @t79 () (= @t77 @t78)) % 0.64/0.91 (define @t80 () (= @t78 @t77)) % 0.64/0.91 (define @t81 () (|tptp.'>='| @t61 @t61)) % 0.64/0.91 (define @t82 () (= @t78 @t81)) % 0.64/0.91 (define @t83 () (= @t81 @t78)) % 0.64/0.91 (define @t84 () (@list |tptp.'0'|)) % 0.64/0.91 (define @t85 () (|tptp.'+'| |tptp.'0'| |tptp.'1'|)) % 0.64/0.91 (define @t86 () (|tptp.'>='| @t85 @t85)) % 0.64/0.91 (define @t87 () (|tptp.'>='| |tptp.'0'| |tptp.'0'|)) % 0.64/0.91 (define @t88 () (not @t87)) % 0.64/0.91 (define @t89 () (or @t88 @t86)) % 0.64/0.91 (define @t90 () (@list false false)) % 0.64/0.91 (define @t91 () (|tptp.'>='| |tptp.'1'| |tptp.'1'|)) % 0.64/0.91 (define @t92 () (|tptp.'>='| @t60 @t60)) % 0.64/0.91 (define @t93 () (not @t91)) % 0.64/0.91 (define @t94 () (or @t93 @t92)) % 0.64/0.91 (define @t95 () (not @t92)) % 0.64/0.91 (define @t96 () (or @t95 @t81)) % 0.64/0.91 (define @t97 () (@list @t59)) % 0.64/0.91 (define @t98 () (not @t13)) % 0.64/0.91 (define @t99 () (not @t14)) % 0.64/0.91 (define @t100 () (|tptp.'==>'| |tptp.'0'| |tptp.'1'|)) % 0.64/0.91 (define @t101 () (|tptp.'>='| @t100 @t60)) % 0.64/0.91 (define @t102 () (|tptp.'>='| @t59 |tptp.'0'|)) % 0.64/0.91 (define @t103 () (not @t102)) % 0.64/0.91 (define @t104 () (or @t103 @t101)) % 0.64/0.91 (define @t105 () (|tptp.'>='| @t85 |tptp.'1'|)) % 0.64/0.91 (define @t106 () (|tptp.'>='| |tptp.'1'| @t100)) % 0.64/0.91 (define @t107 () (= @t105 @t106)) % 0.64/0.91 (define @t108 () (|tptp.'>='| |tptp.'1'| @t60)) % 0.64/0.91 (define @t109 () (not @t101)) % 0.64/0.91 (define @t110 () (not @t106)) % 0.64/0.91 (define @t111 () (or @t110 @t109 @t108)) % 0.64/0.91 (define @t112 () (@list false false false)) % 0.64/0.91 (define @t113 () (not @t108)) % 0.64/0.91 (define @t114 () (or @t113 @t62)) % 0.64/0.91 (define @t115 () (|tptp.'==>'| |tptp.'1'| @t60)) % 0.64/0.91 (define @t116 () (|tptp.'>='| (|tptp.'+'| |tptp.'1'| |tptp.'0'|) @t60)) % 0.64/0.91 (define @t117 () (|tptp.'>='| |tptp.'0'| @t115)) % 0.64/0.91 (define @t118 () (= @t116 @t117)) % 0.64/0.91 (define @t119 () (= |tptp.'0'| @t115)) % 0.64/0.91 (define @t120 () (|tptp.'>='| @t115 |tptp.'0'|)) % 0.64/0.91 (define @t121 () (not @t120)) % 0.64/0.91 (define @t122 () (not @t117)) % 0.64/0.91 (define @t123 () (or @t122 @t121 @t119)) % 0.64/0.91 (define @t124 () (@list @t60)) % 0.64/0.91 (define @t125 () (|tptp.'>='| (|tptp.'+'| @t60 |tptp.'0'|) @t60)) % 0.64/0.91 (define @t126 () (|tptp.'==>'| @t60 @t60)) % 0.64/0.91 (define @t127 () (|tptp.'>='| |tptp.'0'| @t126)) % 0.64/0.91 (define @t128 () (= @t125 @t127)) % 0.64/0.91 (define @t129 () (|tptp.'>='| @t115 @t126)) % 0.64/0.91 (define @t130 () (not @t129)) % 0.64/0.91 (define @t131 () (|tptp.'>='| @t126 @t115)) % 0.64/0.91 (define @t132 () (not @t131)) % 0.64/0.91 (define @t133 () (or @t132 @t130 (= @t126 @t115))) % 0.64/0.91 (define @t134 () (= @t115 @t126)) % 0.64/0.91 (define @t135 () (or @t132 @t130 @t134)) % 0.64/0.91 (define @t136 () (or @t113 @t131)) % 0.64/0.91 (define @t137 () (|tptp.'==>'| @t61 @t60)) % 0.64/0.91 (define @t138 () (and @t68 @t119 @t127)) % 0.64/0.91 (assume @p1 (forall (@list @t3 @t2 @t1) (= (|tptp.'+'| @t4 @t1) (|tptp.'+'| @t3 (|tptp.'+'| @t2 @t1))))) % 0.64/0.91 (assume @p2 (forall @t5 (= @t4 (|tptp.'+'| @t2 @t3)))) % 0.64/0.91 (assume @p3 @t8) % 0.64/0.91 (assume @p4 (forall @t7 (|tptp.'>='| @t3 @t3))) % 0.64/0.91 (assume @p5 @t16) % 0.64/0.91 (assume @p6 @t24) % 0.64/0.91 (assume @p7 @t28) % 0.64/0.91 (assume @p8 (forall @t7 (|tptp.'>='| @t3 |tptp.'0'|))) % 0.64/0.91 (assume @p9 @t34) % 0.64/0.91 (assume @p10 @t40) % 0.64/0.91 (assume @p11 @t46) % 0.64/0.91 (assume @p12 @t48) % 0.64/0.91 (assume @p13 (forall @t5 (= (|tptp.'==>'| (|tptp.'==>'| @t3 @t2) @t2) (|tptp.'==>'| (|tptp.'==>'| @t2 @t3) @t3)))) % 0.64/0.91 (assume @p14 @t50) % 0.64/0.91 (assume @p15 @t55) % 0.64/0.91 (assume @p16 true) % 0.64/0.91 (step @p17 :rule aci_norm :args ((= (or (or @t57 @t56) @t19) @t58))) % 0.64/0.91 (step @p18 :rule refl :args (@t19)) % 0.64/0.91 (step @p19 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.64/0.91 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t22) @t19))) % 0.64/0.91 (step @p21 :rule trans :premises (@p20 @p17)) % 0.64/0.91 (step @p22 :rule bool-impl-elim :args (@t22 @t19)) % 0.64/0.91 (step @p23 :rule trans :premises (@p22 @p21)) % 0.64/0.91 (step @p24 :rule cong :premises (@p23) :args (@t24)) % 0.64/0.91 (step @p25 :rule eq_resolve :premises (@p6 @p24)) % 0.64/0.91 (step @p26 :rule eq-symm :args (@t61 @t60)) % 0.64/0.91 (step @p27 :rule refl :args (@t63)) % 0.64/0.91 (step @p28 :rule refl :args (@t65)) % 0.64/0.91 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t66)) % 0.64/0.91 (step @p30 :rule refl :args (@t67)) % 0.64/0.91 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t67 @t66))) % 0.64/0.91 (assume-push @p243 @t67) % 0.64/0.91 (step @p33 :rule instantiate :premises (@p25) :args ((@list @t61 @t60))) % 0.64/0.91 (step-pop @p244 :rule scope :premises (@p33)) % 0.64/0.91 (step @p34 :rule process_scope :premises (@p244) :args (@t66)) % 0.64/0.91 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 0.64/0.91 (step @p37 :rule implies_elim :premises (@p36)) % 0.64/0.91 (step @p38 :rule chain_m_resolution :premises (@p37 @p25) :args (@t69 @t70 @t71)) % 0.64/0.91 (step @p39 :rule eq-symm :args (@t73 @t64)) % 0.64/0.91 (step @p40 :rule refl :args (@t28)) % 0.64/0.91 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t28 @t74))) % 0.64/0.91 (assume-push @p245 @t28) % 0.64/0.91 (step @p43 :rule instantiate :premises (@p7) :args ((@list @t59 @t61 |tptp.'1'|))) % 0.64/0.91 (step-pop @p246 :rule scope :premises (@p43)) % 0.64/0.91 (step @p44 :rule process_scope :premises (@p246) :args (@t74)) % 0.64/0.91 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.64/0.91 (step @p47 :rule implies_elim :premises (@p46)) % 0.64/0.91 (step @p48 :rule chain_m_resolution :premises (@p47 @p7) :args (@t75 @t70 @t76)) % 0.64/0.91 (step @p49 :rule eq-symm :args (@t77 @t78)) % 0.64/0.91 (step @p50 :rule cong :premises (@p40 @p49) :args ((=> @t28 @t79))) % 0.64/0.91 (assume-push @p247 @t28) % 0.64/0.91 (step @p52 :rule instantiate :premises (@p7) :args ((@list @t59 @t72 |tptp.'1'|))) % 0.64/0.91 (step-pop @p248 :rule scope :premises (@p52)) % 0.64/0.91 (step @p53 :rule process_scope :premises (@p248) :args (@t79)) % 0.64/0.91 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.64/0.91 (step @p56 :rule implies_elim :premises (@p55)) % 0.64/0.91 (step @p57 :rule chain_m_resolution :premises (@p56 @p7) :args (@t80 @t70 @t76)) % 0.64/0.91 (step @p58 :rule eq-symm :args (@t78 @t81)) % 0.64/0.91 (step @p59 :rule cong :premises (@p40 @p58) :args ((=> @t28 @t82))) % 0.64/0.91 (assume-push @p249 @t28) % 0.64/0.91 (step @p61 :rule instantiate :premises (@p7) :args ((@list @t59 @t61 @t60))) % 0.64/0.91 (step-pop @p250 :rule scope :premises (@p61)) % 0.64/0.91 (step @p62 :rule process_scope :premises (@p250) :args (@t82)) % 0.64/0.91 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.64/0.91 (step @p65 :rule implies_elim :premises (@p64)) % 0.64/0.91 (step @p66 :rule chain_m_resolution :premises (@p65 @p7) :args (@t83 @t70 @t76)) % 0.64/0.91 (step @p67 :rule bool-impl-elim :args (@t45 @t44)) % 0.64/0.91 (step @p68 :rule cong :premises (@p67) :args (@t46)) % 0.64/0.91 (step @p69 :rule eq_resolve :premises (@p11 @p68)) % 0.64/0.91 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t60 @t60 @t59))) % 0.64/0.91 (step @p71 :rule instantiate :premises (@p69) :args ((@list |tptp.'1'| |tptp.'1'| @t59))) % 0.64/0.91 (step @p72 :rule bool-impl-elim :args (@t33 @t32)) % 0.64/0.91 (step @p73 :rule cong :premises (@p72) :args (@t34)) % 0.64/0.91 (step @p74 :rule eq_resolve :premises (@p9 @p73)) % 0.64/0.91 (step @p75 :rule instantiate :premises (@p74) :args ((@list |tptp.'0'| |tptp.'0'| |tptp.'1'|))) % 0.64/0.91 (step @p76 :rule instantiate :premises (@p4) :args (@t84)) % 0.64/0.91 (step @p77 :rule cnf_or_pos :args (@t89)) % 0.64/0.91 (step @p78 :rule reordering :premises (@p77) :args ((or @t88 @t86 (not @t89)))) % 0.64/0.91 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75) :args (@t86 @t90 (@list @t87 @t89))) % 0.64/0.91 (step @p80 :rule true_intro :premises (@p79)) % 0.64/0.91 (step @p81 :rule eq-symm :args (@t47 |tptp.'1'|)) % 0.64/0.91 (step @p82 :rule cong :premises (@p81) :args (@t48)) % 0.64/0.91 (step @p83 :rule eq_resolve :premises (@p12 @p82)) % 0.64/0.91 (step @p84 :rule instantiate :premises (@p83) :args (@t84)) % 0.64/0.91 (step @p85 :rule cong :premises (@p84 @p84) :args (@t91)) % 0.64/0.91 (step @p86 :rule trans :premises (@p85 @p80)) % 0.64/0.91 (step @p87 :rule true_elim :premises (@p86)) % 0.64/0.91 (step @p88 :rule cnf_or_pos :args (@t94)) % 0.64/0.91 (step @p89 :rule reordering :premises (@p88) :args ((or @t93 @t92 (not @t94)))) % 0.64/0.91 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p71) :args (@t92 @t90 (@list @t91 @t94))) % 0.64/0.91 (step @p91 :rule cnf_or_pos :args (@t96)) % 0.64/0.91 (step @p92 :rule reordering :premises (@p91) :args ((or @t95 @t81 (not @t96)))) % 0.64/0.91 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p70) :args (@t81 @t90 (@list @t92 @t96))) % 0.64/0.91 (step @p94 :rule cnf_equiv_pos1 :args (@t83)) % 0.64/0.91 (step @p95 :rule reordering :premises (@p94) :args ((or (not @t81) @t78 (not @t83)))) % 0.64/0.91 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p66) :args (@t78 @t90 (@list @t81 @t83))) % 0.64/0.91 (step @p97 :rule cnf_equiv_pos1 :args (@t80)) % 0.64/0.91 (step @p98 :rule reordering :premises (@p97) :args ((or (not @t78) @t77 (not @t80)))) % 0.64/0.91 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p57) :args (@t77 @t90 (@list @t78 @t80))) % 0.64/0.91 (step @p100 :rule true_intro :premises (@p99)) % 0.64/0.91 (step @p101 :rule refl :args (|tptp.'1'|)) % 0.64/0.91 (step @p102 :rule instantiate :premises (@p1) :args ((@list @t59 @t59 @t61))) % 0.64/0.91 (step @p103 :rule refl :args (@t61)) % 0.64/0.91 (step @p104 :rule eq-symm :args (@t49 @t3)) % 0.64/0.91 (step @p105 :rule cong :premises (@p104) :args (@t50)) % 0.64/0.91 (step @p106 :rule eq_resolve :premises (@p14 @p105)) % 0.64/0.91 (step @p107 :rule instantiate :premises (@p106) :args (@t97)) % 0.64/0.91 (step @p108 :rule cong :premises (@p107 @p103) :args (@t72)) % 0.64/0.91 (step @p109 :rule trans :premises (@p108 @p102)) % 0.64/0.91 (step @p110 :rule cong :premises (@p109 @p101) :args (@t73)) % 0.64/0.91 (step @p111 :rule trans :premises (@p110 @p100)) % 0.64/0.91 (step @p112 :rule true_elim :premises (@p111)) % 0.64/0.91 (step @p113 :rule cnf_equiv_pos2 :args (@t75)) % 0.64/0.91 (step @p114 :rule reordering :premises (@p113) :args ((or @t64 (not @t73) (not @t75)))) % 0.64/0.91 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p48) :args (@t64 @t90 (@list @t73 @t75))) % 0.64/0.91 (step @p116 :rule instantiate :premises (@p69) :args ((@list |tptp.'1'| @t60 @t59))) % 0.64/0.91 (step @p117 :rule aci_norm :args ((= (or (or @t99 @t98) @t11) (or @t99 @t98 @t11)))) % 0.64/0.91 (step @p118 :rule refl :args (@t11)) % 0.64/0.91 (step @p119 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.64/0.91 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t15) @t11))) % 0.64/0.91 (step @p121 :rule trans :premises (@p120 @p117)) % 0.64/0.91 (step @p122 :rule bool-impl-elim :args (@t15 @t11)) % 0.64/0.91 (step @p123 :rule trans :premises (@p122 @p121)) % 0.64/0.91 (step @p124 :rule cong :premises (@p123) :args (@t16)) % 0.64/0.91 (step @p125 :rule eq_resolve :premises (@p5 @p124)) % 0.64/0.91 (step @p126 :rule instantiate :premises (@p125) :args ((@list |tptp.'1'| @t100 @t60))) % 0.64/0.91 (step @p127 :rule bool-impl-elim :args (@t39 @t38)) % 0.64/0.91 (step @p128 :rule cong :premises (@p127) :args (@t40)) % 0.64/0.91 (step @p129 :rule eq_resolve :premises (@p10 @p128)) % 0.64/0.91 (step @p130 :rule instantiate :premises (@p129) :args ((@list @t59 |tptp.'0'| |tptp.'1'|))) % 0.64/0.91 (step @p131 :rule instantiate :premises (@p8) :args (@t97)) % 0.64/0.91 (step @p132 :rule cnf_or_pos :args (@t104)) % 0.64/0.91 (step @p133 :rule reordering :premises (@p132) :args ((or @t103 @t101 (not @t104)))) % 0.64/0.91 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p130) :args (@t101 @t90 (@list @t102 @t104))) % 0.64/0.91 (step @p135 :rule instantiate :premises (@p7) :args ((@list |tptp.'0'| |tptp.'1'| |tptp.'1'|))) % 0.64/0.91 (step @p136 :rule refl :args (@t85)) % 0.64/0.91 (step @p137 :rule cong :premises (@p136 @p84) :args (@t105)) % 0.64/0.91 (step @p138 :rule trans :premises (@p137 @p80)) % 0.64/0.91 (step @p139 :rule true_elim :premises (@p138)) % 0.64/0.91 (step @p140 :rule cnf_equiv_pos1 :args (@t107)) % 0.64/0.91 (step @p141 :rule reordering :premises (@p140) :args ((or @t106 (not @t105) (not @t107)))) % 0.64/0.91 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p135) :args (@t106 @t90 (@list @t105 @t107))) % 0.64/0.91 (step @p143 :rule cnf_or_pos :args (@t111)) % 0.64/0.91 (step @p144 :rule reordering :premises (@p143) :args ((or @t110 @t108 @t109 (not @t111)))) % 0.64/0.91 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p134 @p126) :args (@t108 @t112 (@list @t106 @t101 @t111))) % 0.64/0.91 (step @p146 :rule cnf_or_pos :args (@t114)) % 0.64/0.91 (step @p147 :rule reordering :premises (@p146) :args ((or @t113 @t62 (not @t114)))) % 0.64/0.91 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p116) :args (@t62 @t90 (@list @t108 @t114))) % 0.64/0.91 (step @p149 :rule cnf_or_pos :args (@t69)) % 0.64/0.91 (step @p150 :rule reordering :premises (@p149) :args ((or @t63 @t65 @t68 (not @t69)))) % 0.64/0.91 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p115 @p38) :args (@t68 @t112 (@list @t62 @t64 @t69))) % 0.64/0.91 (step @p152 :rule instantiate :premises (@p25) :args ((@list |tptp.'0'| @t115))) % 0.64/0.91 (step @p153 :rule instantiate :premises (@p8) :args ((@list @t115))) % 0.64/0.91 (step @p154 :rule instantiate :premises (@p7) :args ((@list |tptp.'1'| |tptp.'0'| @t60))) % 0.64/0.91 (step @p155 :rule true_intro :premises (@p145)) % 0.64/0.91 (step @p156 :rule refl :args (@t60)) % 0.64/0.91 (step @p157 :rule symm :premises (@p84)) % 0.64/0.91 (step @p158 :rule cong :premises (@p157 @p156) :args ((|tptp.'>='| @t85 @t60))) % 0.64/0.91 (step @p159 :rule instantiate :premises (@p2) :args ((@list |tptp.'0'| |tptp.'1'|))) % 0.64/0.91 (step @p160 :rule symm :premises (@p159)) % 0.64/0.91 (step @p161 :rule cong :premises (@p160 @p156) :args (@t116)) % 0.64/0.91 (step @p162 :rule trans :premises (@p161 @p158 @p155)) % 0.64/0.91 (step @p163 :rule true_elim :premises (@p162)) % 0.64/0.91 (step @p164 :rule cnf_equiv_pos1 :args (@t118)) % 0.64/0.91 (step @p165 :rule reordering :premises (@p164) :args ((or @t117 (not @t116) (not @t118)))) % 0.64/0.91 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p154) :args (@t117 @t90 (@list @t116 @t118))) % 0.64/0.91 (step @p167 :rule cnf_or_pos :args (@t123)) % 0.64/0.91 (step @p168 :rule reordering :premises (@p167) :args ((or @t122 @t121 @t119 (not @t123)))) % 0.64/0.91 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p153 @p152) :args (@t119 @t112 (@list @t117 @t120 @t123))) % 0.64/0.91 (step @p170 :rule instantiate :premises (@p7) :args ((@list @t60 |tptp.'0'| @t60))) % 0.64/0.91 (step @p171 :rule true_intro :premises (@p90)) % 0.64/0.91 (step @p172 :rule instantiate :premises (@p106) :args (@t124)) % 0.64/0.91 (step @p173 :rule symm :premises (@p172)) % 0.64/0.91 (step @p174 :rule cong :premises (@p173 @p156) :args ((|tptp.'>='| (|tptp.'+'| @t60 @t60) @t60))) % 0.64/0.91 (step @p175 :rule eq-symm :args (@t6 @t3)) % 0.64/0.91 (step @p176 :rule cong :premises (@p175) :args (@t8)) % 0.64/0.91 (step @p177 :rule eq_resolve :premises (@p3 @p176)) % 0.64/0.91 (step @p178 :rule instantiate :premises (@p177) :args (@t124)) % 0.64/0.91 (step @p179 :rule symm :premises (@p178)) % 0.64/0.91 (step @p180 :rule instantiate :premises (@p2) :args ((@list |tptp.'0'| @t60))) % 0.64/0.91 (step @p181 :rule trans :premises (@p180 @p179 @p172)) % 0.64/0.91 (step @p182 :rule symm :premises (@p180)) % 0.64/0.91 (step @p183 :rule trans :premises (@p182 @p181)) % 0.64/0.91 (step @p184 :rule cong :premises (@p183 @p156) :args (@t125)) % 0.64/0.91 (step @p185 :rule trans :premises (@p184 @p174 @p171)) % 0.64/0.91 (step @p186 :rule true_elim :premises (@p185)) % 0.64/0.91 (step @p187 :rule cnf_equiv_pos1 :args (@t128)) % 0.64/0.92 (step @p188 :rule reordering :premises (@p187) :args ((or @t127 (not @t125) (not @t128)))) % 0.64/0.92 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p170) :args (@t127 @t90 (@list @t125 @t128))) % 0.64/0.92 (step @p190 :rule eq-symm :args (@t126 @t115)) % 0.64/0.92 (step @p191 :rule refl :args (@t130)) % 0.64/0.92 (step @p192 :rule refl :args (@t132)) % 0.64/0.92 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190) :args (@t133)) % 0.64/0.92 (step @p194 :rule cong :premises (@p30 @p193) :args ((=> @t67 @t133))) % 0.64/0.92 (assume-push @p251 @t67) % 0.64/0.92 (step @p196 :rule instantiate :premises (@p25) :args ((@list @t126 @t115))) % 0.64/0.92 (step-pop @p252 :rule scope :premises (@p196)) % 0.64/0.92 (step @p197 :rule process_scope :premises (@p252) :args (@t133)) % 0.64/0.92 (step @p199 :rule eq_resolve :premises (@p197 @p194)) % 0.64/0.92 (step @p200 :rule implies_elim :premises (@p199)) % 0.64/0.92 (step @p201 :rule chain_m_resolution :premises (@p200 @p25) :args (@t135 @t70 @t71)) % 0.64/0.92 (step @p202 :rule eq-symm :args (@t52 |tptp.'0'|)) % 0.64/0.92 (step @p203 :rule cong :premises (@p202) :args (@t54)) % 0.64/0.92 (step @p204 :rule cong :premises (@p203) :args (@t55)) % 0.64/0.92 (step @p205 :rule eq_resolve :premises (@p15 @p204)) % 0.64/0.92 (step @p206 :rule skolemize :premises (@p205)) % 0.64/0.92 (step @p207 :rule false_intro :premises (@p206)) % 0.64/0.92 (step @p208 :rule instantiate :premises (@p13) :args ((@list @t60 @t59))) % 0.64/0.92 (step @p209 :rule symm :premises (@p208)) % 0.64/0.92 (step @p210 :rule cong :premises (@p151 @p156) :args (@t126)) % 0.64/0.92 (step @p211 :rule trans :premises (@p210 @p209)) % 0.64/0.92 (step @p212 :rule symm :premises (@p169)) % 0.64/0.92 (step @p213 :rule cong :premises (@p212 @p211) :args (@t134)) % 0.64/0.92 (step @p214 :rule trans :premises (@p213 @p207)) % 0.64/0.92 (step @p215 :rule false_elim :premises (@p214)) % 0.64/0.92 (step @p216 :rule instantiate :premises (@p129) :args ((@list |tptp.'1'| @t60 @t60))) % 0.64/0.92 (step @p217 :rule cnf_or_pos :args (@t136)) % 0.64/0.92 (step @p218 :rule reordering :premises (@p217) :args ((or @t113 @t131 (not @t136)))) % 0.64/0.92 (step @p219 :rule chain_m_resolution :premises (@p218 @p145 @p216) :args (@t131 @t90 (@list @t108 @t136))) % 0.64/0.92 (step @p220 :rule cnf_or_pos :args (@t135)) % 0.64/0.92 (step @p221 :rule reordering :premises (@p220) :args ((or @t132 @t130 @t134 (not @t135)))) % 0.64/0.92 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p215 @p201) :args (@t130 (@list false true false) (@list @t131 @t134 @t135))) % 0.64/0.92 (assume-push @p253 @t68) % 0.64/0.92 (assume-push @p254 @t119) % 0.64/0.92 (assume-push @p255 @t127) % 0.64/0.92 (step @p226 :rule true_intro :premises (@p189)) % 0.64/0.92 (step @p227 :rule symm :premises (@p151)) % 0.64/0.92 (step @p228 :rule cong :premises (@p227 @p156) :args (@t137)) % 0.64/0.92 (step @p229 :rule refl :args (|tptp.'0'|)) % 0.64/0.92 (step @p230 :rule cong :premises (@p229 @p228) :args ((|tptp.'>='| |tptp.'0'| @t137))) % 0.64/0.92 (step @p231 :rule cong :premises (@p212 @p210) :args (@t129)) % 0.64/0.92 (step @p232 :rule trans :premises (@p231 @p230 @p226)) % 0.64/0.92 (step @p233 :rule true_elim :premises (@p232)) % 0.64/0.92 (step-pop @p256 :rule scope :premises (@p233)) % 0.64/0.92 (step-pop @p257 :rule scope :premises (@p256)) % 0.64/0.92 (step-pop @p258 :rule scope :premises (@p257)) % 0.64/0.92 (step @p234 :rule process_scope :premises (@p258) :args (@t129)) % 0.64/0.92 (step @p238 :rule implies_elim :premises (@p234)) % 0.64/0.92 (step @p239 :rule cnf_and_neg :args (@t138)) % 0.64/0.92 (step @p240 :rule resolution :premises (@p239 @p238) :args (true @t138)) % 0.64/0.92 (step @p241 :rule reordering :premises (@p240) :args ((or (not @t68) (not @t119) @t129 (not @t127)))) % 0.64/0.92 (step @p242 false :rule chain_m_resolution :premises (@p241 @p222 @p189 @p169 @p151) :args (false (@list true false false false) (@list @t129 @t127 @t119 @t68))) % 0.64/0.92 ) % 0.64/0.92 % SZS output end Proof % 0.64/0.92 % cvc5 exiting %------------------------------------------------------------------------------