%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT039-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 06:04:50 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.57s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT039-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n010.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 12:55:11 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.57 % SZS status Unsatisfiable % 0.30/0.57 % SZS output start Proof % 0.30/0.58 ( % 0.30/0.58 (declare-sort $$unsorted 0) % 0.30/0.58 (declare-const tptp.start_time (-> $$unsorted $$unsorted)) % 0.30/0.58 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.first_movers $$unsorted) % 0.30/0.58 (declare-const tptp.efficient_producers $$unsorted) % 0.30/0.58 (declare-const tptp.sk3 $$unsorted) % 0.30/0.58 (declare-const tptp.selection_favors (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.sk1 (-> $$unsorted $$unsorted)) % 0.30/0.58 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.propagation_strategy (-> $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.slow_change (-> $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.end_time (-> $$unsorted $$unsorted)) % 0.30/0.58 (declare-const tptp.observational_period (-> $$unsorted Bool)) % 0.30/0.58 (declare-const tptp.sk2 (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.58 (declare-const tptp.critical_point (-> $$unsorted $$unsorted)) % 0.30/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.30/0.58 (define @t2 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t1)) % 0.30/0.58 (define @t3 () (tptp.sk1 @t1)) % 0.30/0.58 (define @t4 () (tptp.environment @t3)) % 0.30/0.58 (define @t5 () (tptp.propagation_strategy tptp.efficient_producers)) % 0.30/0.58 (define @t6 () (not @t5)) % 0.30/0.58 (define @t7 () (tptp.propagation_strategy tptp.first_movers)) % 0.30/0.58 (define @t8 () (not @t7)) % 0.30/0.58 (define @t9 () (not (tptp.observational_period @t1))) % 0.30/0.58 (define @t10 () (or @t9 @t8 @t6 @t4 @t2)) % 0.30/0.58 (define @t11 () (@list @t1)) % 0.30/0.58 (define @t12 () (forall @t11 @t10)) % 0.30/0.58 (define @t13 () (tptp.in_environment @t1 @t3)) % 0.30/0.58 (define @t14 () (or @t9 @t8 @t6 @t13 @t2)) % 0.30/0.58 (define @t15 () (forall @t11 @t14)) % 0.30/0.58 (define @t16 () (not (tptp.selection_favors tptp.efficient_producers tptp.first_movers (tptp.end_time @t3)))) % 0.30/0.58 (define @t17 () (or @t9 @t8 @t6 @t16 @t2)) % 0.30/0.58 (define @t18 () (forall @t11 @t17)) % 0.30/0.58 (define @t19 () (@var "B" $$unsorted)) % 0.30/0.58 (define @t20 () (tptp.sk2 @t19 @t1)) % 0.30/0.58 (define @t21 () (tptp.in_environment @t1 @t19)) % 0.30/0.58 (define @t22 () (not @t21)) % 0.30/0.58 (define @t23 () (not (tptp.environment @t19))) % 0.30/0.58 (define @t24 () (not (tptp.slow_change @t1))) % 0.30/0.58 (define @t25 () (@list @t1 @t19)) % 0.30/0.58 (define @t26 () (tptp.end_time @t1)) % 0.30/0.58 (define @t27 () (tptp.greater_or_equal @t26 @t19)) % 0.30/0.58 (define @t28 () (tptp.start_time @t1)) % 0.30/0.58 (define @t29 () (not (tptp.environment @t1))) % 0.30/0.58 (define @t30 () (tptp.critical_point @t1)) % 0.30/0.58 (define @t31 () (@var "C" $$unsorted)) % 0.30/0.58 (define @t32 () (tptp.greater @t1 @t19)) % 0.30/0.58 (define @t33 () (not @t32)) % 0.30/0.58 (define @t34 () (= @t1 @t19)) % 0.30/0.58 (define @t35 () (tptp.greater_or_equal @t1 @t19)) % 0.30/0.58 (define @t36 () (not @t34)) % 0.30/0.58 (define @t37 () (or @t36 @t35)) % 0.30/0.58 (define @t38 () (forall @t25 @t37)) % 0.30/0.58 (define @t39 () (tptp.observational_period tptp.sk3)) % 0.30/0.58 (define @t40 () (tptp.slow_change tptp.sk3)) % 0.30/0.58 (define @t41 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers tptp.sk3)) % 0.30/0.58 (define @t42 () (tptp.sk1 tptp.sk3)) % 0.30/0.58 (define @t43 () (@list tptp.sk3 @t42)) % 0.30/0.58 (define @t44 () (or @t9 @t13 @t2)) % 0.30/0.58 (define @t45 () (forall @t11 @t44)) % 0.30/0.58 (define @t46 () (or @t8 @t6 @t44)) % 0.30/0.58 (define @t47 () (@list false false)) % 0.30/0.58 (define @t48 () (@list @t7 @t5)) % 0.30/0.58 (define @t49 () (@list tptp.sk3)) % 0.30/0.58 (define @t50 () (tptp.in_environment tptp.sk3 @t42)) % 0.30/0.58 (define @t51 () (not @t39)) % 0.30/0.58 (define @t52 () (or @t51 @t50 @t41)) % 0.30/0.58 (define @t53 () (@list true false false)) % 0.30/0.58 (define @t54 () (or @t9 @t4 @t2)) % 0.30/0.58 (define @t55 () (forall @t11 @t54)) % 0.30/0.58 (define @t56 () (or @t8 @t6 @t54)) % 0.30/0.58 (define @t57 () (tptp.environment @t42)) % 0.30/0.58 (define @t58 () (or @t51 @t57 @t41)) % 0.30/0.58 (define @t59 () (tptp.critical_point @t42)) % 0.30/0.58 (define @t60 () (tptp.sk2 @t42 tptp.sk3)) % 0.30/0.58 (define @t61 () (tptp.greater @t60 @t59)) % 0.30/0.58 (define @t62 () (not @t50)) % 0.30/0.58 (define @t63 () (not @t57)) % 0.30/0.58 (define @t64 () (not @t40)) % 0.30/0.58 (define @t65 () (or @t51 @t64 @t63 @t62 @t61)) % 0.30/0.58 (define @t66 () (@list false false false false false)) % 0.30/0.58 (define @t67 () (tptp.start_time @t42)) % 0.30/0.58 (define @t68 () (tptp.end_time @t42)) % 0.30/0.58 (define @t69 () (@list @t42 @t68)) % 0.30/0.58 (define @t70 () (tptp.greater_or_equal @t19 @t19)) % 0.30/0.58 (define @t71 () (not (= @t19 @t19))) % 0.30/0.58 (define @t72 () (or @t71 @t70)) % 0.30/0.58 (define @t73 () (@list @t19)) % 0.30/0.58 (define @t74 () (or @t36 @t36 @t35)) % 0.30/0.58 (define @t75 () (forall @t11 @t37)) % 0.30/0.58 (define @t76 () (forall @t73 @t75)) % 0.30/0.58 (define @t77 () (forall (@list @t19 @t1) @t37)) % 0.30/0.58 (define @t78 () (@list @t42 @t60)) % 0.30/0.58 (define @t79 () (tptp.in_environment @t42 @t60)) % 0.30/0.58 (define @t80 () (or @t51 @t64 @t63 @t62 @t79)) % 0.30/0.58 (define @t81 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t60)) % 0.30/0.58 (define @t82 () (not @t61)) % 0.30/0.58 (define @t83 () (not @t79)) % 0.30/0.58 (define @t84 () (or @t63 @t83 @t82 @t81)) % 0.30/0.58 (define @t85 () (or @t9 @t16 @t2)) % 0.30/0.58 (define @t86 () (forall @t11 @t85)) % 0.30/0.58 (define @t87 () (or @t8 @t6 @t85)) % 0.30/0.58 (define @t88 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t68)) % 0.30/0.58 (define @t89 () (not @t88)) % 0.30/0.58 (define @t90 () (or @t51 @t89 @t41)) % 0.30/0.58 (define @t91 () (= @t68 @t60)) % 0.30/0.58 (define @t92 () (not @t91)) % 0.30/0.58 (define @t93 () (not @t81)) % 0.30/0.58 (define @t94 () (and @t89 @t91 @t81)) % 0.30/0.58 (define @t95 () (@list true false)) % 0.30/0.58 (define @t96 () (tptp.greater_or_equal @t68 @t60)) % 0.30/0.58 (define @t97 () (or @t63 @t83 @t96)) % 0.30/0.58 (define @t98 () (@list false false false)) % 0.30/0.58 (define @t99 () (tptp.greater @t68 @t60)) % 0.30/0.58 (define @t100 () (not @t96)) % 0.30/0.58 (define @t101 () (or @t100 @t99 @t91)) % 0.30/0.58 (define @t102 () (@list false true false)) % 0.30/0.58 (define @t103 () (tptp.greater @t68 @t59)) % 0.30/0.58 (define @t104 () (not @t99)) % 0.30/0.58 (define @t105 () (or @t104 @t82 @t103)) % 0.30/0.58 (define @t106 () (not @t103)) % 0.30/0.58 (define @t107 () (tptp.in_environment @t42 @t68)) % 0.30/0.58 (define @t108 () (not @t107)) % 0.30/0.58 (define @t109 () (or @t63 @t108 @t106 @t88)) % 0.30/0.58 (define @t110 () (tptp.greater_or_equal @t68 @t68)) % 0.30/0.58 (define @t111 () (not @t110)) % 0.30/0.58 (define @t112 () (tptp.greater_or_equal @t68 @t67)) % 0.30/0.58 (define @t113 () (not @t112)) % 0.30/0.58 (define @t114 () (or @t63 @t113 @t111 @t107)) % 0.30/0.58 (define @t115 () (tptp.greater @t68 @t67)) % 0.30/0.58 (define @t116 () (not @t115)) % 0.30/0.58 (define @t117 () (or @t116 @t112)) % 0.30/0.58 (define @t118 () (tptp.greater @t60 @t67)) % 0.30/0.58 (define @t119 () (not @t118)) % 0.30/0.58 (define @t120 () (or @t104 @t119 @t115)) % 0.30/0.58 (define @t121 () (tptp.greater @t59 @t67)) % 0.30/0.58 (define @t122 () (not @t121)) % 0.30/0.58 (define @t123 () (or @t106 @t122 @t115)) % 0.30/0.58 (define @t124 () (tptp.greater_or_equal @t59 @t67)) % 0.30/0.58 (define @t125 () (or @t63 @t124)) % 0.30/0.58 (define @t126 () (= @t59 @t67)) % 0.30/0.58 (define @t127 () (not @t124)) % 0.30/0.58 (define @t128 () (or @t127 @t121 @t126)) % 0.30/0.58 (define @t129 () (not @t126)) % 0.30/0.58 (assume @p1 @t12) % 0.30/0.58 (assume @p2 @t15) % 0.30/0.58 (assume @p3 @t18) % 0.30/0.58 (assume @p4 (forall @t25 (or @t9 @t24 @t23 @t22 (tptp.in_environment @t19 @t20)))) % 0.30/0.58 (assume @p5 (forall @t25 (or @t9 @t24 @t23 @t22 (tptp.greater @t20 (tptp.critical_point @t19))))) % 0.30/0.58 (assume @p6 @t7) % 0.30/0.58 (assume @p7 @t5) % 0.30/0.58 (assume @p8 (forall @t25 (or @t29 (not (tptp.greater_or_equal @t19 @t28)) (not @t27) @t21))) % 0.30/0.58 (assume @p9 (forall @t25 (or @t29 @t22 @t27))) % 0.30/0.58 (assume @p10 (forall @t11 (or @t29 (tptp.greater_or_equal @t30 @t28)))) % 0.30/0.58 (assume @p11 (forall (@list @t1 @t19 @t31) (or @t33 (not (tptp.greater @t19 @t31)) (tptp.greater @t1 @t31)))) % 0.30/0.58 (assume @p12 (forall @t25 (or (not @t35) @t32 @t34))) % 0.30/0.58 (assume @p13 (forall @t25 (or @t33 @t35))) % 0.30/0.58 (assume @p14 @t38) % 0.30/0.58 (assume @p15 (forall @t25 (or @t29 (not (tptp.greater @t19 @t28)) (tptp.greater @t19 @t26) @t27))) % 0.30/0.58 (assume @p16 (forall @t25 (or @t29 @t22 (not (tptp.greater @t19 @t30)) (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t19)))) % 0.30/0.58 (assume @p17 @t39) % 0.30/0.58 (assume @p18 @t40) % 0.30/0.58 (assume @p19 (not @t41)) % 0.30/0.58 (step @p20 :rule instantiate :premises (@p5) :args (@t43)) % 0.30/0.58 (step @p21 :rule quant-miniscope-or :args ((= (forall @t11 @t46) (or @t8 @t6 @t45)))) % 0.30/0.58 (step @p22 :rule aci_norm :args ((= @t14 @t46))) % 0.30/0.58 (step @p23 :rule cong :premises (@p22) :args (@t15)) % 0.30/0.58 (step @p24 :rule trans :premises (@p23 @p21)) % 0.30/0.58 (step @p25 :rule eq_resolve :premises (@p2 @p24)) % 0.30/0.58 (step @p26 :rule chain_m_resolution :premises (@p25 @p6 @p7) :args (@t45 @t47 @t48)) % 0.30/0.58 (step @p27 :rule instantiate :premises (@p26) :args (@t49)) % 0.30/0.58 (step @p28 :rule cnf_or_pos :args (@t52)) % 0.30/0.58 (step @p29 :rule reordering :premises (@p28) :args ((or @t41 @t51 @t50 (not @t52)))) % 0.30/0.58 (step @p30 :rule chain_m_resolution :premises (@p29 @p19 @p17 @p27) :args (@t50 @t53 (@list @t41 @t39 @t52))) % 0.30/0.58 (step @p31 :rule quant-miniscope-or :args ((= (forall @t11 @t56) (or @t8 @t6 @t55)))) % 0.30/0.58 (step @p32 :rule aci_norm :args ((= @t10 @t56))) % 0.30/0.58 (step @p33 :rule cong :premises (@p32) :args (@t12)) % 0.30/0.58 (step @p34 :rule trans :premises (@p33 @p31)) % 0.30/0.58 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.30/0.58 (step @p36 :rule chain_m_resolution :premises (@p35 @p6 @p7) :args (@t55 @t47 @t48)) % 0.30/0.58 (step @p37 :rule instantiate :premises (@p36) :args (@t49)) % 0.30/0.58 (step @p38 :rule cnf_or_pos :args (@t58)) % 0.30/0.58 (step @p39 :rule reordering :premises (@p38) :args ((or @t41 @t51 @t57 (not @t58)))) % 0.30/0.58 (step @p40 :rule chain_m_resolution :premises (@p39 @p19 @p17 @p37) :args (@t57 @t53 (@list @t41 @t39 @t58))) % 0.30/0.58 (step @p41 :rule cnf_or_pos :args (@t65)) % 0.30/0.58 (step @p42 :rule reordering :premises (@p41) :args ((or @t51 @t64 @t63 @t62 @t61 (not @t65)))) % 0.30/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p17 @p18 @p40 @p30 @p20) :args (@t61 @t66 (@list @t39 @t40 @t57 @t50 @t65))) % 0.30/0.58 (step @p44 :rule instantiate :premises (@p11) :args ((@list @t68 @t60 @t67))) % 0.30/0.58 (step @p45 :rule instantiate :premises (@p13) :args ((@list @t68 @t67))) % 0.30/0.58 (step @p46 :rule instantiate :premises (@p8) :args (@t69)) % 0.30/0.58 (step @p47 :rule aci_norm :args ((= (or false @t70) @t70))) % 0.30/0.58 (step @p48 :rule refl :args (@t70)) % 0.30/0.58 (step @p49 :rule evaluate :args ((not true))) % 0.30/0.58 (step @p50 :rule eq-refl :args (@t19)) % 0.30/0.58 (step @p51 :rule cong :premises (@p50) :args (@t71)) % 0.30/0.58 (step @p52 :rule trans :premises (@p51 @p49)) % 0.30/0.58 (step @p53 :rule nary_cong :premises (@p52 @p48) :args (@t72)) % 0.30/0.58 (step @p54 :rule trans :premises (@p53 @p47)) % 0.30/0.58 (step @p55 :rule cong :premises (@p54) :args ((forall @t73 @t72))) % 0.30/0.58 (step @p56 :rule quant-var-elim-eq :args ((= (forall @t11 @t74) @t72))) % 0.30/0.58 (step @p57 :rule aci_norm :args ((= @t37 @t74))) % 0.30/0.58 (step @p58 :rule cong :premises (@p57) :args (@t75)) % 0.30/0.58 (step @p59 :rule trans :premises (@p58 @p56)) % 0.30/0.58 (step @p60 :rule cong :premises (@p59) :args (@t76)) % 0.30/0.58 (step @p61 :rule quant-merge-prenex :args ((= @t76 @t77))) % 0.30/0.58 (step @p62 :rule symm :premises (@p61)) % 0.30/0.58 (step @p63 :rule quant_var_reordering :args ((= @t38 @t77))) % 0.30/0.58 (step @p64 :rule trans :premises (@p63 @p62 @p60)) % 0.30/0.58 (step @p65 :rule trans :premises (@p64 @p55)) % 0.30/0.58 (step @p66 :rule eq_resolve :premises (@p14 @p65)) % 0.30/0.58 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t68))) % 0.30/0.58 (step @p68 :rule instantiate :premises (@p16) :args (@t69)) % 0.30/0.58 (step @p69 :rule instantiate :premises (@p11) :args ((@list @t68 @t60 @t59))) % 0.30/0.58 (step @p70 :rule instantiate :premises (@p12) :args ((@list @t68 @t60))) % 0.30/0.58 (step @p71 :rule instantiate :premises (@p16) :args (@t78)) % 0.30/0.58 (step @p72 :rule instantiate :premises (@p4) :args (@t43)) % 0.30/0.58 (step @p73 :rule cnf_or_pos :args (@t80)) % 0.30/0.58 (step @p74 :rule reordering :premises (@p73) :args ((or @t51 @t64 @t63 @t62 @t79 (not @t80)))) % 0.30/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p17 @p18 @p40 @p30 @p72) :args (@t79 @t66 (@list @t39 @t40 @t57 @t50 @t80))) % 0.30/0.58 (step @p76 :rule cnf_or_pos :args (@t84)) % 0.30/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t63 @t83 @t82 @t81 (not @t84)))) % 0.30/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p40 @p75 @p43 @p71) :args (@t81 (@list false false false false) (@list @t57 @t79 @t61 @t84))) % 0.30/0.58 (step @p79 :rule quant-miniscope-or :args ((= (forall @t11 @t87) (or @t8 @t6 @t86)))) % 0.30/0.58 (step @p80 :rule aci_norm :args ((= @t17 @t87))) % 0.30/0.58 (step @p81 :rule cong :premises (@p80) :args (@t18)) % 0.30/0.58 (step @p82 :rule trans :premises (@p81 @p79)) % 0.30/0.58 (step @p83 :rule eq_resolve :premises (@p3 @p82)) % 0.30/0.58 (step @p84 :rule chain_m_resolution :premises (@p83 @p6 @p7) :args (@t86 @t47 @t48)) % 0.30/0.58 (step @p85 :rule instantiate :premises (@p84) :args (@t49)) % 0.30/0.58 (step @p86 :rule cnf_or_pos :args (@t90)) % 0.30/0.58 (step @p87 :rule reordering :premises (@p86) :args ((or @t41 @t51 @t89 (not @t90)))) % 0.30/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p19 @p17 @p85) :args (@t89 @t53 (@list @t41 @t39 @t90))) % 0.30/0.58 (step @p89 :rule refl :args (@t92)) % 0.30/0.58 (step @p90 :rule refl :args (@t93)) % 0.30/0.58 (step @p91 :rule bool-double-not-elim :args (@t88)) % 0.30/0.58 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89) :args ((or (not @t89) @t93 @t92))) % 0.30/0.58 (assume-push @p180 @t89) % 0.30/0.58 (assume-push @p181 @t91) % 0.30/0.58 (assume-push @p182 @t81) % 0.30/0.58 (step @p96 :rule evaluate :args ((= true false))) % 0.30/0.58 (step @p97 :rule false_intro :premises (@p88)) % 0.30/0.58 (step @p98 :rule symm :premises (@p181)) % 0.30/0.58 (step @p99 :rule refl :args (tptp.first_movers)) % 0.30/0.58 (step @p100 :rule refl :args (tptp.efficient_producers)) % 0.30/0.58 (step @p101 :rule cong :premises (@p100 @p99 @p98) :args (@t81)) % 0.30/0.58 (step @p102 :rule true_intro :premises (@p78)) % 0.30/0.58 (step @p103 :rule symm :premises (@p102)) % 0.30/0.58 (step @p104 :rule trans :premises (@p103 @p101 @p97)) % 0.30/0.58 (step @p105 false :rule eq_resolve :premises (@p104 @p96)) % 0.30/0.58 (step-pop @p183 :rule scope :premises (@p105)) % 0.30/0.58 (step-pop @p184 :rule scope :premises (@p183)) % 0.30/0.58 (step-pop @p185 :rule scope :premises (@p184)) % 0.30/0.58 (step @p106 :rule process_scope :premises (@p185) :args (false)) % 0.30/0.58 (assume-push @p186 @t89) % 0.30/0.58 (assume-push @p187 @t81) % 0.30/0.58 (assume-push @p188 @t91) % 0.30/0.58 (step @p113 :rule and_intro :premises (@p88 @p188 @p78)) % 0.30/0.58 (step-pop @p189 :rule scope :premises (@p113)) % 0.30/0.58 (step-pop @p190 :rule scope :premises (@p189)) % 0.30/0.58 (step-pop @p191 :rule scope :premises (@p190)) % 0.30/0.58 (step @p114 :rule process_scope :premises (@p191) :args (@t94)) % 0.30/0.58 (step @p118 :rule implies_elim :premises (@p114)) % 0.30/0.58 (step @p119 :rule resolution :premises (@p118 @p106) :args (true @t94)) % 0.30/0.58 (step @p120 :rule not_and :premises (@p119)) % 0.30/0.58 (step @p121 :rule eq_resolve :premises (@p120 @p92)) % 0.30/0.58 (step @p122 :rule chain_m_resolution :premises (@p121 @p88 @p78) :args (@t92 @t95 (@list @t88 @t81))) % 0.30/0.58 (step @p123 :rule instantiate :premises (@p9) :args (@t78)) % 0.30/0.58 (step @p124 :rule cnf_or_pos :args (@t97)) % 0.30/0.58 (step @p125 :rule reordering :premises (@p124) :args ((or @t63 @t83 @t96 (not @t97)))) % 0.30/0.58 (step @p126 :rule chain_m_resolution :premises (@p125 @p40 @p75 @p123) :args (@t96 @t98 (@list @t57 @t79 @t97))) % 0.30/0.58 (step @p127 :rule cnf_or_pos :args (@t101)) % 0.30/0.58 (step @p128 :rule reordering :premises (@p127) :args ((or @t100 @t99 @t91 (not @t101)))) % 0.30/0.58 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p122 @p70) :args (@t99 @t102 (@list @t96 @t91 @t101))) % 0.30/0.58 (step @p130 :rule cnf_or_pos :args (@t105)) % 0.30/0.58 (step @p131 :rule reordering :premises (@p130) :args ((or @t82 @t103 @t104 (not @t105)))) % 0.30/0.58 (step @p132 :rule chain_m_resolution :premises (@p131 @p43 @p129 @p69) :args (@t103 @t98 (@list @t61 @t99 @t105))) % 0.30/0.58 (step @p133 :rule cnf_or_pos :args (@t109)) % 0.30/0.58 (step @p134 :rule reordering :premises (@p133) :args ((or @t88 @t63 @t106 @t108 (not @t109)))) % 0.30/0.58 (step @p135 :rule chain_m_resolution :premises (@p134 @p88 @p40 @p132 @p68) :args (@t108 (@list true false false false) (@list @t88 @t57 @t103 @t109))) % 0.30/0.58 (step @p136 :rule cnf_or_pos :args (@t114)) % 0.30/0.58 (step @p137 :rule reordering :premises (@p136) :args ((or @t63 @t107 @t113 @t111 (not @t114)))) % 0.30/0.58 (step @p138 :rule chain_m_resolution :premises (@p137 @p40 @p135 @p67 @p46) :args (@t113 (@list false true false false) (@list @t57 @t107 @t110 @t114))) % 0.30/0.58 (step @p139 :rule cnf_or_pos :args (@t117)) % 0.30/0.58 (step @p140 :rule reordering :premises (@p139) :args ((or @t112 @t116 (not @t117)))) % 0.30/0.58 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p45) :args (@t116 @t95 (@list @t112 @t117))) % 0.30/0.58 (step @p142 :rule cnf_or_pos :args (@t120)) % 0.30/0.58 (step @p143 :rule reordering :premises (@p142) :args ((or @t104 @t115 @t119 (not @t120)))) % 0.30/0.58 (step @p144 :rule chain_m_resolution :premises (@p143 @p129 @p141 @p44) :args (@t119 @t102 (@list @t99 @t115 @t120))) % 0.30/0.58 (step @p145 :rule instantiate :premises (@p12) :args ((@list @t59 @t67))) % 0.30/0.58 (step @p146 :rule instantiate :premises (@p11) :args ((@list @t68 @t59 @t67))) % 0.30/0.58 (step @p147 :rule cnf_or_pos :args (@t123)) % 0.30/0.58 (step @p148 :rule reordering :premises (@p147) :args ((or @t122 @t106 @t115 (not @t123)))) % 0.30/0.58 (step @p149 :rule chain_m_resolution :premises (@p148 @p132 @p141 @p146) :args (@t122 @t102 (@list @t103 @t115 @t123))) % 0.30/0.58 (step @p150 :rule instantiate :premises (@p10) :args ((@list @t42))) % 0.30/0.58 (step @p151 :rule cnf_or_pos :args (@t125)) % 0.30/0.58 (step @p152 :rule reordering :premises (@p151) :args ((or @t63 @t124 (not @t125)))) % 0.30/0.58 (step @p153 :rule chain_m_resolution :premises (@p152 @p40 @p150) :args (@t124 @t47 (@list @t57 @t125))) % 0.30/0.58 (step @p154 :rule cnf_or_pos :args (@t128)) % 0.30/0.58 (step @p155 :rule reordering :premises (@p154) :args ((or @t127 @t121 @t126 (not @t128)))) % 0.30/0.58 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p149 @p145) :args (@t126 @t102 (@list @t124 @t121 @t128))) % 0.30/0.58 (step @p157 :rule bool-double-not-elim :args (@t118)) % 0.30/0.58 (step @p158 :rule refl :args (@t129)) % 0.30/0.58 (step @p159 :rule refl :args (@t82)) % 0.30/0.58 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args ((or @t82 @t129 (not @t119)))) % 0.30/0.58 (assume-push @p192 @t61) % 0.30/0.58 (assume-push @p193 @t126) % 0.30/0.58 (assume-push @p194 @t119) % 0.30/0.58 (step @p164 :rule evaluate :args ((= false true))) % 0.30/0.58 (step @p165 :rule true_intro :premises (@p43)) % 0.30/0.58 (step @p166 :rule symm :premises (@p193)) % 0.30/0.58 (step @p167 :rule refl :args (@t60)) % 0.30/0.58 (step @p168 :rule cong :premises (@p167 @p166) :args (@t118)) % 0.30/0.58 (step @p169 :rule false_intro :premises (@p194)) % 0.30/0.58 (step @p170 :rule symm :premises (@p169)) % 0.30/0.58 (step @p171 :rule trans :premises (@p170 @p168 @p165)) % 0.30/0.58 (step @p172 false :rule eq_resolve :premises (@p171 @p164)) % 0.30/0.58 (step-pop @p195 :rule scope :premises (@p172)) % 0.30/0.58 (step-pop @p196 :rule scope :premises (@p195)) % 0.30/0.58 (step-pop @p197 :rule scope :premises (@p196)) % 0.30/0.58 (step @p173 :rule process_scope :premises (@p197) :args (false)) % 0.30/0.58 (step @p177 :rule not_and :premises (@p173)) % 0.30/0.58 (step @p178 :rule eq_resolve :premises (@p177 @p160)) % 0.30/0.58 (step @p179 false :rule chain_m_resolution :premises (@p178 @p156 @p144 @p43) :args (false @t102 (@list @t126 @t118 @t61))) % 0.30/0.58 ) % 0.30/0.58 % SZS output end Proof % 0.30/0.59 % cvc5 exiting %------------------------------------------------------------------------------