%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT058+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 : Tue Sep 8 06:04:54 AM UTC 2026 % Result : Theorem 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT058+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.35 % Computer : n017.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Mon Sep 7 13:26:54 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.18/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/0.50 % SZS status Theorem % 0.18/0.50 % SZS output start Proof % 0.18/0.50 ( % 0.18/0.50 (declare-sort $$unsorted 0) % 0.18/0.50 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.zero $$unsorted) % 0.18/0.50 (declare-const tptp.robust_position (-> $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.tau $$unsorted) % 0.18/0.50 (declare-const tptp.fragile_position (-> $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.50 (declare-const tptp.sigma $$unsorted) % 0.18/0.50 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.positional_advantage (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (define @t1 () (@var "Y" $$unsorted)) % 0.18/0.50 (define @t2 () (@var "X" $$unsorted)) % 0.18/0.50 (define @t3 () (= @t2 @t1)) % 0.18/0.50 (define @t4 () (tptp.smaller @t2 @t1)) % 0.18/0.50 (define @t5 () (@list @t2 @t1)) % 0.18/0.50 (define @t6 () (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.18/0.50 (define @t7 () (tptp.greater @t2 @t1)) % 0.18/0.50 (define @t8 () (tptp.greater @t1 @t2)) % 0.18/0.50 (define @t9 () (forall @t5 (= @t4 @t8))) % 0.18/0.50 (define @t10 () (@var "Z" $$unsorted)) % 0.18/0.50 (define @t11 () (@var "T" $$unsorted)) % 0.18/0.50 (define @t12 () (tptp.positional_advantage @t2 @t11)) % 0.18/0.50 (define @t13 () (not @t12)) % 0.18/0.50 (define @t14 () (tptp.age @t2 @t11)) % 0.18/0.50 (define @t15 () (tptp.greater @t14 tptp.sigma)) % 0.18/0.50 (define @t16 () (tptp.smaller_or_equal @t14 tptp.sigma)) % 0.18/0.50 (define @t17 () (and (=> @t16 @t12) (=> @t15 @t13))) % 0.18/0.50 (define @t18 () (@list @t11)) % 0.18/0.50 (define @t19 () (forall @t18 @t17)) % 0.18/0.50 (define @t20 () (tptp.fragile_position @t2)) % 0.18/0.50 (define @t21 () (= @t20 @t19)) % 0.18/0.50 (define @t22 () (@list @t2)) % 0.18/0.50 (define @t23 () (forall @t22 @t21)) % 0.18/0.50 (define @t24 () (tptp.greater @t14 tptp.tau)) % 0.18/0.50 (define @t25 () (tptp.smaller_or_equal @t14 tptp.tau)) % 0.18/0.50 (define @t26 () (and (=> @t25 @t13) (=> @t24 @t12))) % 0.18/0.50 (define @t27 () (forall @t18 @t26)) % 0.18/0.50 (define @t28 () (tptp.robust_position @t2)) % 0.18/0.50 (define @t29 () (= @t28 @t27)) % 0.18/0.50 (define @t30 () (forall @t22 @t29)) % 0.18/0.50 (define @t31 () (not (and @t20 @t28))) % 0.18/0.50 (define @t32 () (tptp.greater_or_equal tptp.tau tptp.zero)) % 0.18/0.50 (define @t33 () (tptp.greater_or_equal tptp.sigma tptp.zero)) % 0.18/0.50 (define @t34 () (@var "T0" $$unsorted)) % 0.18/0.50 (define @t35 () (tptp.age @t2 @t34)) % 0.18/0.50 (define @t36 () (@list @t34)) % 0.18/0.50 (define @t37 () (exists @t36 (= @t35 tptp.zero))) % 0.18/0.50 (define @t38 () (tptp.organization @t2)) % 0.18/0.50 (define @t39 () (and @t38 @t37 @t33 @t32)) % 0.18/0.50 (define @t40 () (=> @t39 @t31)) % 0.18/0.50 (define @t41 () (forall @t22 @t40)) % 0.18/0.50 (define @t42 () (not @t41)) % 0.18/0.50 (define @t43 () (tptp.smaller tptp.zero tptp.tau)) % 0.18/0.50 (define @t44 () (tptp.greater tptp.tau tptp.zero)) % 0.18/0.50 (define @t45 () (= @t43 @t44)) % 0.18/0.50 (define @t46 () (= @t44 @t43)) % 0.18/0.50 (define @t47 () (@list false)) % 0.18/0.50 (define @t48 () (@list @t9)) % 0.18/0.50 (define @t49 () (not @t28)) % 0.18/0.50 (define @t50 () (not @t20)) % 0.18/0.50 (define @t51 () (@var "BOUND_VARIABLE_7579" $$unsorted)) % 0.18/0.50 (define @t52 () (not (= tptp.zero (tptp.age @t2 @t51)))) % 0.18/0.50 (define @t53 () (not @t38)) % 0.18/0.50 (define @t54 () (or @t53 @t52 @t50 @t49)) % 0.18/0.50 (define @t55 () (forall (@list @t2 @t51) @t54)) % 0.18/0.50 (define @t56 () (@quantifiers_skolemize @t55 1)) % 0.18/0.50 (define @t57 () (@quantifiers_skolemize @t55 0)) % 0.18/0.50 (define @t58 () (tptp.age @t57 @t56)) % 0.18/0.50 (define @t59 () (tptp.smaller @t58 tptp.tau)) % 0.18/0.50 (define @t60 () (or @t59 (= @t58 tptp.tau))) % 0.18/0.50 (define @t61 () (tptp.smaller_or_equal @t58 tptp.tau)) % 0.18/0.50 (define @t62 () (= @t61 @t60)) % 0.18/0.50 (define @t63 () (= tptp.tau @t58)) % 0.18/0.50 (define @t64 () (or @t59 @t63)) % 0.18/0.50 (define @t65 () (= @t61 @t64)) % 0.18/0.50 (define @t66 () (@list @t6)) % 0.18/0.50 (define @t67 () (or (not @t24) @t12)) % 0.18/0.50 (define @t68 () (forall @t18 @t67)) % 0.18/0.50 (define @t69 () (@list @t11)) % 0.18/0.50 (define @t70 () (@var "BOUND_VARIABLE_7545" $$unsorted)) % 0.18/0.50 (define @t71 () (or (not @t25) @t13)) % 0.18/0.50 (define @t72 () (forall @t18 @t71)) % 0.18/0.50 (define @t73 () (@var "BOUND_VARIABLE_7535" $$unsorted)) % 0.18/0.50 (define @t74 () (and @t72 @t68)) % 0.18/0.50 (define @t75 () (@list @t57)) % 0.18/0.50 (define @t76 () (@list @t51)) % 0.18/0.50 (define @t77 () (forall @t76 @t54)) % 0.18/0.50 (define @t78 () (forall @t76 @t52)) % 0.18/0.50 (define @t79 () (or @t53 @t78 @t50 @t49)) % 0.18/0.50 (define @t80 () (= tptp.zero @t35)) % 0.18/0.50 (define @t81 () (forall @t36 (not @t80))) % 0.18/0.51 (define @t82 () (or @t53 @t81 @t50 @t49)) % 0.18/0.51 (define @t83 () (forall @t22 @t82)) % 0.18/0.51 (define @t84 () (not @t32)) % 0.18/0.51 (define @t85 () (not @t33)) % 0.18/0.51 (define @t86 () (or @t85 @t84 @t83)) % 0.18/0.51 (define @t87 () (or @t85 @t84 @t82)) % 0.18/0.51 (define @t88 () (or @t53 @t81 @t85 @t84 @t50 @t49)) % 0.18/0.51 (define @t89 () (not @t81)) % 0.18/0.51 (define @t90 () (not @t89)) % 0.18/0.51 (define @t91 () (or @t53 @t90 @t85 @t84)) % 0.18/0.51 (define @t92 () (and @t38 @t89 @t33 @t32)) % 0.18/0.51 (define @t93 () (tptp.robust_position @t57)) % 0.18/0.51 (define @t94 () (not @t93)) % 0.18/0.51 (define @t95 () (tptp.fragile_position @t57)) % 0.18/0.51 (define @t96 () (not @t95)) % 0.18/0.51 (define @t97 () (= tptp.zero @t58)) % 0.18/0.51 (define @t98 () (not @t97)) % 0.18/0.51 (define @t99 () (or (not (tptp.organization @t57)) @t98 @t96 @t94)) % 0.18/0.51 (define @t100 () (@list true)) % 0.18/0.51 (define @t101 () (@list @t99)) % 0.18/0.51 (define @t102 () (forall (@list @t73) (or (not (tptp.smaller_or_equal (tptp.age @t57 @t73) tptp.tau)) (not (tptp.positional_advantage @t57 @t73))))) % 0.18/0.51 (define @t103 () (and @t102 (forall (@list @t70) (or (not (tptp.greater (tptp.age @t57 @t70) tptp.tau)) (tptp.positional_advantage @t57 @t70))))) % 0.18/0.51 (define @t104 () (= @t93 @t103)) % 0.18/0.51 (define @t105 () (@list false false)) % 0.18/0.51 (define @t106 () (@list @t56)) % 0.18/0.51 (define @t107 () (or (not @t15) @t13)) % 0.18/0.51 (define @t108 () (forall @t18 @t107)) % 0.18/0.51 (define @t109 () (@var "BOUND_VARIABLE_7515" $$unsorted)) % 0.18/0.51 (define @t110 () (or (not @t16) @t12)) % 0.18/0.51 (define @t111 () (forall @t18 @t110)) % 0.18/0.51 (define @t112 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 0.18/0.51 (define @t113 () (and @t111 @t108)) % 0.18/0.51 (define @t114 () (forall (@list @t112) (or (not (tptp.smaller_or_equal (tptp.age @t57 @t112) tptp.sigma)) (tptp.positional_advantage @t57 @t112)))) % 0.18/0.51 (define @t115 () (and @t114 (forall (@list @t109) (or (not (tptp.greater (tptp.age @t57 @t109) tptp.sigma)) (not (tptp.positional_advantage @t57 @t109)))))) % 0.18/0.51 (define @t116 () (= @t95 @t115)) % 0.18/0.51 (define @t117 () (tptp.smaller tptp.zero tptp.sigma)) % 0.18/0.51 (define @t118 () (or @t117 (= tptp.zero tptp.sigma))) % 0.18/0.51 (define @t119 () (tptp.smaller_or_equal tptp.zero tptp.sigma)) % 0.18/0.51 (define @t120 () (= @t119 @t118)) % 0.18/0.51 (define @t121 () (@list tptp.zero tptp.sigma)) % 0.18/0.51 (define @t122 () (= tptp.sigma tptp.zero)) % 0.18/0.51 (define @t123 () (or @t117 @t122)) % 0.18/0.51 (define @t124 () (= @t119 @t123)) % 0.18/0.51 (define @t125 () (tptp.greater tptp.sigma tptp.zero)) % 0.18/0.51 (define @t126 () (= @t117 @t125)) % 0.18/0.51 (define @t127 () (= @t125 @t117)) % 0.18/0.51 (define @t128 () (or @t125 @t122)) % 0.18/0.51 (define @t129 () (= @t33 @t128)) % 0.18/0.51 (define @t130 () (tptp.smaller_or_equal @t58 tptp.sigma)) % 0.18/0.51 (define @t131 () (tptp.positional_advantage @t57 @t56)) % 0.18/0.51 (define @t132 () (not @t130)) % 0.18/0.51 (define @t133 () (or @t132 @t131)) % 0.18/0.51 (define @t134 () (not @t131)) % 0.18/0.51 (define @t135 () (not @t61)) % 0.18/0.51 (define @t136 () (or @t135 @t134)) % 0.18/0.51 (define @t137 () (not @t64)) % 0.18/0.51 (define @t138 () (@list true false)) % 0.18/0.51 (define @t139 () (@list @t64)) % 0.18/0.51 (define @t140 () (= tptp.tau tptp.zero)) % 0.18/0.51 (define @t141 () (or @t44 @t140)) % 0.18/0.51 (define @t142 () (= @t32 @t141)) % 0.18/0.51 (assume @p1 @t6) % 0.18/0.51 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t7 @t3)))) % 0.18/0.51 (assume @p3 @t9) % 0.18/0.51 (assume @p4 (forall @t5 (not (and @t7 @t8)))) % 0.18/0.51 (assume @p5 (forall (@list @t2 @t1 @t10) (=> (and @t7 (tptp.greater @t1 @t10)) (tptp.greater @t2 @t10)))) % 0.18/0.51 (assume @p6 (forall @t5 (or @t4 @t3 @t7))) % 0.18/0.51 (assume @p7 @t23) % 0.18/0.51 (assume @p8 @t30) % 0.18/0.51 (assume @p9 @t42) % 0.18/0.51 (assume @p10 true) % 0.18/0.51 (step @p11 :rule eq-symm :args (@t43 @t44)) % 0.18/0.51 (step @p12 :rule refl :args (@t9)) % 0.18/0.51 (step @p13 :rule cong :premises (@p12 @p11) :args ((=> @t9 @t45))) % 0.18/0.51 (assume-push @p236 @t9) % 0.18/0.51 (step @p15 :rule instantiate :premises (@p3) :args ((@list tptp.zero tptp.tau))) % 0.18/0.51 (step-pop @p237 :rule scope :premises (@p15)) % 0.18/0.51 (step @p16 :rule process_scope :premises (@p237) :args (@t45)) % 0.18/0.51 (step @p18 :rule eq_resolve :premises (@p16 @p13)) % 0.18/0.51 (step @p19 :rule implies_elim :premises (@p18)) % 0.18/0.51 (step @p20 :rule chain_m_resolution :premises (@p19 @p3) :args (@t46 @t47 @t48)) % 0.18/0.51 (step @p21 :rule eq-symm :args (@t58 tptp.tau)) % 0.18/0.51 (step @p22 :rule refl :args (@t59)) % 0.18/0.51 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t60)) % 0.18/0.51 (step @p24 :rule refl :args (@t61)) % 0.18/0.51 (step @p25 :rule cong :premises (@p24 @p23) :args (@t62)) % 0.18/0.51 (step @p26 :rule refl :args (@t6)) % 0.18/0.51 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t6 @t62))) % 0.18/0.51 (assume-push @p238 @t6) % 0.18/0.51 (step @p29 :rule instantiate :premises (@p1) :args ((@list @t58 tptp.tau))) % 0.18/0.51 (step-pop @p239 :rule scope :premises (@p29)) % 0.18/0.51 (step @p30 :rule process_scope :premises (@p239) :args (@t62)) % 0.18/0.51 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 0.18/0.51 (step @p33 :rule implies_elim :premises (@p32)) % 0.18/0.51 (step @p34 :rule chain_m_resolution :premises (@p33 @p1) :args (@t65 @t47 @t66)) % 0.18/0.51 (step @p35 :rule alpha_equiv :args (@t68 @t69 (@list @t70))) % 0.18/0.51 (step @p36 :rule alpha_equiv :args (@t72 @t69 (@list @t73))) % 0.18/0.51 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t74)) % 0.18/0.51 (step @p38 :rule quant-miniscope-and :args ((= (forall @t18 (and @t71 @t67)) @t74))) % 0.18/0.51 (step @p39 :rule trans :premises (@p38 @p37)) % 0.18/0.51 (step @p40 :rule bool-impl-elim :args (@t24 @t12)) % 0.18/0.51 (step @p41 :rule bool-impl-elim :args (@t25 @t13)) % 0.18/0.51 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t26)) % 0.18/0.51 (step @p43 :rule cong :premises (@p42) :args (@t27)) % 0.18/0.51 (step @p44 :rule trans :premises (@p43 @p39)) % 0.18/0.51 (step @p45 :rule refl :args (@t28)) % 0.18/0.51 (step @p46 :rule cong :premises (@p45 @p44) :args (@t29)) % 0.18/0.51 (step @p47 :rule cong :premises (@p46) :args (@t30)) % 0.18/0.51 (step @p48 :rule eq_resolve :premises (@p8 @p47)) % 0.18/0.51 (step @p49 :rule instantiate :premises (@p48) :args (@t75)) % 0.18/0.51 (step @p50 :rule quant-merge-prenex :args ((= (forall @t22 @t77) @t55))) % 0.18/0.51 (step @p51 :rule refl :args (@t49)) % 0.18/0.51 (step @p52 :rule refl :args (@t50)) % 0.18/0.51 (step @p53 :rule alpha_equiv :args (@t78 (@list @t51) (@list @t34))) % 0.18/0.51 (step @p54 :rule refl :args (@t53)) % 0.18/0.51 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52 @p51) :args (@t79)) % 0.18/0.51 (step @p56 :rule quant-miniscope-or :args ((= @t77 @t79))) % 0.18/0.51 (step @p57 :rule trans :premises (@p56 @p55)) % 0.18/0.51 (step @p58 :rule symm :premises (@p57)) % 0.18/0.51 (step @p59 :rule cong :premises (@p58) :args (@t83)) % 0.18/0.51 (step @p60 :rule trans :premises (@p59 @p50)) % 0.18/0.51 (step @p61 :rule refl :args (@t84)) % 0.18/0.51 (step @p62 :rule refl :args (@t85)) % 0.18/0.51 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t86)) % 0.18/0.51 (step @p64 :rule quant-miniscope-or :args ((= (forall @t22 @t87) @t86))) % 0.18/0.51 (step @p65 :rule aci_norm :args ((= @t88 @t87))) % 0.18/0.51 (step @p66 :rule cong :premises (@p65) :args ((forall @t22 @t88))) % 0.18/0.51 (step @p67 :rule trans :premises (@p66 @p64)) % 0.18/0.51 (step @p68 :rule trans :premises (@p67 @p63)) % 0.18/0.51 (step @p69 :rule aci_norm :args ((= (or (or @t53 @t81 @t85 @t84) (or @t50 @t49)) @t88))) % 0.18/0.51 (step @p70 :rule bool-and-de-morgan :args (@t20 @t28 true)) % 0.18/0.51 (step @p71 :rule refl :args (@t84)) % 0.18/0.51 (step @p72 :rule refl :args (@t85)) % 0.18/0.51 (step @p73 :rule bool-double-not-elim :args (@t81)) % 0.18/0.51 (step @p74 :rule nary_cong :premises (@p54 @p73 @p72 @p71) :args (@t91)) % 0.18/0.51 (step @p75 :rule aci_norm :args ((= (or @t53 (or @t90 (or @t85 @t84))) @t91))) % 0.18/0.51 (step @p76 :rule trans :premises (@p75 @p74)) % 0.18/0.51 (step @p77 :rule bool-and-de-morgan :args (@t33 @t32 true)) % 0.18/0.51 (step @p78 :rule refl :args (@t90)) % 0.18/0.51 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t90 (not (and @t33 @t32))))) % 0.18/0.51 (step @p80 :rule bool-and-de-morgan :args (@t89 @t33 (and @t32))) % 0.18/0.51 (step @p81 :rule trans :premises (@p80 @p79)) % 0.18/0.51 (step @p82 :rule nary_cong :premises (@p54 @p81) :args ((or @t53 (not (and @t89 @t33 @t32))))) % 0.18/0.51 (step @p83 :rule bool-and-de-morgan :args (@t38 @t89 (and @t33 @t32))) % 0.18/0.51 (step @p84 :rule trans :premises (@p83 @p82)) % 0.18/0.51 (step @p85 :rule trans :premises (@p84 @p76)) % 0.18/0.51 (step @p86 :rule nary_cong :premises (@p85 @p70) :args ((or (not @t92) @t31))) % 0.18/0.51 (step @p87 :rule trans :premises (@p86 @p69)) % 0.18/0.51 (step @p88 :rule bool-impl-elim :args (@t92 @t31)) % 0.18/0.51 (step @p89 :rule trans :premises (@p88 @p87)) % 0.18/0.51 (step @p90 :rule cong :premises (@p89) :args ((forall @t22 (=> @t92 @t31)))) % 0.18/0.51 (step @p91 :rule trans :premises (@p90 @p68)) % 0.18/0.51 (step @p92 :rule refl :args (@t31)) % 0.18/0.51 (step @p93 :rule refl :args (@t32)) % 0.18/0.51 (step @p94 :rule refl :args (@t33)) % 0.18/0.51 (step @p95 :rule exists-elim :args ((= (exists @t36 @t80) @t89))) % 0.18/0.51 (step @p96 :rule eq-symm :args (@t35 tptp.zero)) % 0.18/0.51 (step @p97 :rule cong :premises (@p96) :args (@t37)) % 0.18/0.51 (step @p98 :rule trans :premises (@p97 @p95)) % 0.18/0.51 (step @p99 :rule refl :args (@t38)) % 0.18/0.51 (step @p100 :rule nary_cong :premises (@p99 @p98 @p94 @p93) :args (@t39)) % 0.18/0.51 (step @p101 :rule cong :premises (@p100 @p92) :args (@t40)) % 0.18/0.51 (step @p102 :rule cong :premises (@p101) :args (@t41)) % 0.18/0.51 (step @p103 :rule trans :premises (@p102 @p91)) % 0.18/0.51 (step @p104 :rule cong :premises (@p103) :args (@t42)) % 0.18/0.51 (step @p105 :rule eq_resolve :premises (@p9 @p104)) % 0.18/0.51 (step @p106 :rule not_or_elim :premises (@p105) :args (2)) % 0.18/0.51 (step @p107 :rule skolemize :premises (@p106)) % 0.18/0.51 (step @p108 :rule bool-double-not-elim :args (@t93)) % 0.18/0.51 (step @p109 :rule refl :args (@t99)) % 0.18/0.51 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t99 (not @t94)))) % 0.18/0.51 (step @p111 :rule cnf_or_neg :args (@t99 3)) % 0.18/0.51 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.18/0.51 (step @p113 :rule reordering :premises (@p112) :args ((or @t93 @t99))) % 0.18/0.51 (step @p114 :rule chain_m_resolution :premises (@p113 @p107) :args (@t93 @t100 @t101)) % 0.18/0.51 (step @p115 :rule cnf_equiv_pos1 :args (@t104)) % 0.18/0.51 (step @p116 :rule reordering :premises (@p115) :args ((or @t94 @t103 (not @t104)))) % 0.18/0.51 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p49) :args (@t103 @t105 (@list @t93 @t104))) % 0.18/0.51 (step @p118 :rule cnf_and_pos :args (@t103 0)) % 0.18/0.51 (step @p119 :rule reordering :premises (@p118) :args ((or @t102 (not @t103)))) % 0.18/0.51 (step @p120 :rule chain_m_resolution :premises (@p119 @p117) :args (@t102 @t47 (@list @t103))) % 0.18/0.51 (step @p121 :rule instantiate :premises (@p120) :args (@t106)) % 0.18/0.51 (step @p122 :rule alpha_equiv :args (@t108 @t69 (@list @t109))) % 0.18/0.51 (step @p123 :rule alpha_equiv :args (@t111 @t69 (@list @t112))) % 0.18/0.51 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t113)) % 0.18/0.51 (step @p125 :rule quant-miniscope-and :args ((= (forall @t18 (and @t110 @t107)) @t113))) % 0.18/0.51 (step @p126 :rule trans :premises (@p125 @p124)) % 0.18/0.51 (step @p127 :rule bool-impl-elim :args (@t15 @t13)) % 0.18/0.51 (step @p128 :rule bool-impl-elim :args (@t16 @t12)) % 0.18/0.51 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t17)) % 0.18/0.51 (step @p130 :rule cong :premises (@p129) :args (@t19)) % 0.18/0.51 (step @p131 :rule trans :premises (@p130 @p126)) % 0.18/0.51 (step @p132 :rule refl :args (@t20)) % 0.18/0.51 (step @p133 :rule cong :premises (@p132 @p131) :args (@t21)) % 0.18/0.51 (step @p134 :rule cong :premises (@p133) :args (@t23)) % 0.18/0.51 (step @p135 :rule eq_resolve :premises (@p7 @p134)) % 0.18/0.51 (step @p136 :rule instantiate :premises (@p135) :args (@t75)) % 0.18/0.51 (step @p137 :rule bool-double-not-elim :args (@t95)) % 0.18/0.51 (step @p138 :rule nary_cong :premises (@p109 @p137) :args ((or @t99 (not @t96)))) % 0.18/0.51 (step @p139 :rule cnf_or_neg :args (@t99 2)) % 0.18/0.51 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.18/0.51 (step @p141 :rule reordering :premises (@p140) :args ((or @t95 @t99))) % 0.18/0.51 (step @p142 :rule chain_m_resolution :premises (@p141 @p107) :args (@t95 @t100 @t101)) % 0.18/0.51 (step @p143 :rule cnf_equiv_pos1 :args (@t116)) % 0.18/0.51 (step @p144 :rule reordering :premises (@p143) :args ((or @t96 @t115 (not @t116)))) % 0.18/0.51 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p136) :args (@t115 @t105 (@list @t95 @t116))) % 0.18/0.51 (step @p146 :rule cnf_and_pos :args (@t115 0)) % 0.18/0.51 (step @p147 :rule reordering :premises (@p146) :args ((or @t114 (not @t115)))) % 0.18/0.51 (step @p148 :rule chain_m_resolution :premises (@p147 @p145) :args (@t114 @t47 (@list @t115))) % 0.18/0.51 (step @p149 :rule instantiate :premises (@p148) :args (@t106)) % 0.18/0.51 (step @p150 :rule eq-symm :args (tptp.zero tptp.sigma)) % 0.18/0.51 (step @p151 :rule refl :args (@t117)) % 0.18/0.51 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t118)) % 0.18/0.51 (step @p153 :rule refl :args (@t119)) % 0.18/0.51 (step @p154 :rule cong :premises (@p153 @p152) :args (@t120)) % 0.18/0.51 (step @p155 :rule cong :premises (@p26 @p154) :args ((=> @t6 @t120))) % 0.18/0.51 (assume-push @p240 @t6) % 0.18/0.51 (step @p157 :rule instantiate :premises (@p1) :args (@t121)) % 0.18/0.51 (step-pop @p241 :rule scope :premises (@p157)) % 0.18/0.51 (step @p158 :rule process_scope :premises (@p241) :args (@t120)) % 0.18/0.51 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 0.18/0.51 (step @p161 :rule implies_elim :premises (@p160)) % 0.18/0.51 (step @p162 :rule chain_m_resolution :premises (@p161 @p1) :args (@t124 @t47 @t66)) % 0.18/0.51 (step @p163 :rule cnf_or_neg :args (@t123 0)) % 0.18/0.51 (step @p164 :rule reordering :premises (@p163) :args ((or (not @t117) @t123))) % 0.18/0.51 (step @p165 :rule cnf_or_neg :args (@t123 1)) % 0.18/0.51 (step @p166 :rule reordering :premises (@p165) :args ((or (not @t122) @t123))) % 0.18/0.51 (step @p167 :rule eq-symm :args (@t117 @t125)) % 0.18/0.51 (step @p168 :rule cong :premises (@p12 @p167) :args ((=> @t9 @t126))) % 0.18/0.51 (assume-push @p242 @t9) % 0.18/0.51 (step @p170 :rule instantiate :premises (@p3) :args (@t121)) % 0.18/0.51 (step-pop @p243 :rule scope :premises (@p170)) % 0.18/0.51 (step @p171 :rule process_scope :premises (@p243) :args (@t126)) % 0.18/0.51 (step @p173 :rule eq_resolve :premises (@p171 @p168)) % 0.18/0.51 (step @p174 :rule implies_elim :premises (@p173)) % 0.18/0.51 (step @p175 :rule chain_m_resolution :premises (@p174 @p3) :args (@t127 @t47 @t48)) % 0.18/0.51 (step @p176 :rule cnf_equiv_pos1 :args (@t127)) % 0.18/0.51 (step @p177 :rule reordering :premises (@p176) :args ((or (not @t125) @t117 (not @t127)))) % 0.18/0.51 (step @p178 :rule instantiate :premises (@p2) :args ((@list tptp.sigma tptp.zero))) % 0.18/0.51 (step @p179 :rule not_or_elim :premises (@p105) :args (0)) % 0.18/0.51 (step @p180 :rule not_not_elim :premises (@p179)) % 0.18/0.51 (step @p181 :rule cnf_equiv_pos1 :args (@t129)) % 0.18/0.51 (step @p182 :rule reordering :premises (@p181) :args ((or @t85 @t128 (not @t129)))) % 0.18/0.51 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p178) :args (@t128 @t105 (@list @t33 @t129))) % 0.18/0.51 (step @p184 :rule cnf_or_pos :args (@t128)) % 0.18/0.51 (step @p185 :rule reordering :premises (@p184) :args ((or @t125 @t122 (not @t128)))) % 0.18/0.51 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p177 @p175 @p166 @p164) :args (@t123 (@list false true false true true) (@list @t128 @t125 @t127 @t122 @t117))) % 0.18/0.51 (step @p187 :rule cnf_equiv_pos2 :args (@t124)) % 0.18/0.51 (step @p188 :rule reordering :premises (@p187) :args ((or @t119 (not @t123) (not @t124)))) % 0.18/0.51 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p162) :args (@t119 @t105 (@list @t123 @t124))) % 0.18/0.51 (step @p190 :rule true_intro :premises (@p189)) % 0.18/0.51 (step @p191 :rule refl :args (tptp.sigma)) % 0.18/0.51 (step @p192 :rule bool-double-not-elim :args (@t97)) % 0.18/0.51 (step @p193 :rule nary_cong :premises (@p109 @p192) :args ((or @t99 (not @t98)))) % 0.18/0.51 (step @p194 :rule cnf_or_neg :args (@t99 1)) % 0.18/0.51 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 0.18/0.51 (step @p196 :rule reordering :premises (@p195) :args ((or @t97 @t99))) % 0.18/0.51 (step @p197 :rule chain_m_resolution :premises (@p196 @p107) :args (@t97 @t100 @t101)) % 0.18/0.51 (step @p198 :rule symm :premises (@p197)) % 0.18/0.51 (step @p199 :rule cong :premises (@p198 @p191) :args (@t130)) % 0.18/0.51 (step @p200 :rule trans :premises (@p199 @p190)) % 0.18/0.51 (step @p201 :rule true_elim :premises (@p200)) % 0.18/0.51 (step @p202 :rule cnf_or_pos :args (@t133)) % 0.18/0.51 (step @p203 :rule reordering :premises (@p202) :args ((or @t132 @t131 (not @t133)))) % 0.18/0.51 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p149) :args (@t131 @t105 (@list @t130 @t133))) % 0.18/0.51 (step @p205 :rule cnf_or_pos :args (@t136)) % 0.18/0.51 (step @p206 :rule reordering :premises (@p205) :args ((or @t135 @t134 (not @t136)))) % 0.18/0.51 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p121) :args (@t135 @t105 (@list @t131 @t136))) % 0.18/0.51 (step @p208 :rule cnf_equiv_pos2 :args (@t65)) % 0.18/0.51 (step @p209 :rule reordering :premises (@p208) :args ((or @t61 @t137 (not @t65)))) % 0.18/0.51 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p34) :args (@t137 @t138 (@list @t61 @t65))) % 0.18/0.51 (step @p211 :rule cnf_or_neg :args (@t64 0)) % 0.18/0.51 (step @p212 :rule chain_m_resolution :premises (@p211 @p210) :args ((not @t59) @t100 @t139)) % 0.18/0.51 (step @p213 :rule false_intro :premises (@p212)) % 0.18/0.51 (step @p214 :rule refl :args (tptp.tau)) % 0.18/0.51 (step @p215 :rule cong :premises (@p197 @p214) :args (@t43)) % 0.18/0.51 (step @p216 :rule trans :premises (@p215 @p213)) % 0.18/0.51 (step @p217 :rule false_elim :premises (@p216)) % 0.18/0.51 (step @p218 :rule instantiate :premises (@p2) :args ((@list tptp.tau tptp.zero))) % 0.18/0.51 (step @p219 :rule not_or_elim :premises (@p105) :args (1)) % 0.18/0.51 (step @p220 :rule not_not_elim :premises (@p219)) % 0.18/0.51 (step @p221 :rule cnf_equiv_pos1 :args (@t142)) % 0.18/0.51 (step @p222 :rule reordering :premises (@p221) :args ((or @t84 @t141 (not @t142)))) % 0.18/0.51 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p218) :args (@t141 @t105 (@list @t32 @t142))) % 0.18/0.51 (step @p224 :rule cnf_or_neg :args (@t64 1)) % 0.18/0.51 (step @p225 :rule chain_m_resolution :premises (@p224 @p210) :args ((not @t63) @t100 @t139)) % 0.18/0.51 (step @p226 :rule false_intro :premises (@p225)) % 0.18/0.51 (step @p227 :rule cong :premises (@p214 @p197) :args (@t140)) % 0.18/0.51 (step @p228 :rule trans :premises (@p227 @p226)) % 0.18/0.51 (step @p229 :rule false_elim :premises (@p228)) % 0.18/0.51 (step @p230 :rule cnf_or_pos :args (@t141)) % 0.18/0.51 (step @p231 :rule reordering :premises (@p230) :args ((or @t44 @t140 (not @t141)))) % 0.18/0.51 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p223) :args (@t44 @t138 (@list @t140 @t141))) % 0.18/0.51 (step @p233 :rule cnf_equiv_pos1 :args (@t46)) % 0.18/0.51 (step @p234 :rule reordering :premises (@p233) :args ((or (not @t44) @t43 (not @t46)))) % 0.18/0.51 (step @p235 false :rule chain_m_resolution :premises (@p234 @p232 @p217 @p20) :args (false (@list false true false) (@list @t44 @t43 @t46))) % 0.18/0.51 ) % 0.18/0.51 % SZS output end Proof % 0.18/0.51 % cvc5 exiting %------------------------------------------------------------------------------