%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT058-1 : 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 : n026.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 : Unsatisfiable 0.19s 0.55s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT058-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.40 % Computer : n026.cluster.edu % 0.10/0.40 % Model : x86_64 x86_64 % 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.40 % Memory : 8046.5625MB % 0.10/0.40 % OS : Linux 6.8.0-71-generic % 0.10/0.40 % CPULimit : 300 % 0.10/0.40 % WCLimit : 300 % 0.10/0.40 % DateTime : Mon Sep 7 13:35:12 UTC 2026 % 0.10/0.40 % CPUTime : % 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.55 % SZS status Unsatisfiable % 0.19/0.55 % SZS output start Proof % 0.19/0.55 ( % 0.19/0.55 (declare-sort $$unsorted 0) % 0.19/0.55 (declare-const tptp.zero $$unsorted) % 0.19/0.55 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.sk4 $$unsorted) % 0.19/0.55 (declare-const tptp.tau $$unsorted) % 0.19/0.55 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.robust_position (-> $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.sk2 (-> $$unsorted $$unsorted)) % 0.19/0.55 (declare-const tptp.sk3 $$unsorted) % 0.19/0.55 (declare-const tptp.positional_advantage (-> $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.sigma $$unsorted) % 0.19/0.55 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.55 (declare-const tptp.fragile_position (-> $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.sk1 (-> $$unsorted $$unsorted)) % 0.19/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.19/0.55 (define @t2 () (@var "A" $$unsorted)) % 0.19/0.55 (define @t3 () (= @t2 @t1)) % 0.19/0.55 (define @t4 () (tptp.smaller @t2 @t1)) % 0.19/0.55 (define @t5 () (tptp.smaller_or_equal @t2 @t1)) % 0.19/0.55 (define @t6 () (@list @t2 @t1)) % 0.19/0.55 (define @t7 () (not @t4)) % 0.19/0.55 (define @t8 () (not @t3)) % 0.19/0.55 (define @t9 () (or @t8 @t5)) % 0.19/0.55 (define @t10 () (forall @t6 @t9)) % 0.19/0.55 (define @t11 () (tptp.greater @t2 @t1)) % 0.19/0.55 (define @t12 () (tptp.greater_or_equal @t2 @t1)) % 0.19/0.55 (define @t13 () (not @t11)) % 0.19/0.55 (define @t14 () (tptp.greater @t1 @t2)) % 0.19/0.55 (define @t15 () (@var "C" $$unsorted)) % 0.19/0.55 (define @t16 () (tptp.positional_advantage @t2 @t1)) % 0.19/0.55 (define @t17 () (tptp.age @t2 @t1)) % 0.19/0.55 (define @t18 () (tptp.fragile_position @t2)) % 0.19/0.55 (define @t19 () (not @t18)) % 0.19/0.55 (define @t20 () (not @t16)) % 0.19/0.55 (define @t21 () (tptp.sk1 @t2)) % 0.19/0.55 (define @t22 () (tptp.age @t2 @t21)) % 0.19/0.55 (define @t23 () (tptp.greater @t22 tptp.sigma)) % 0.19/0.55 (define @t24 () (tptp.smaller_or_equal @t22 tptp.sigma)) % 0.19/0.55 (define @t25 () (@list @t2)) % 0.19/0.55 (define @t26 () (tptp.positional_advantage @t2 @t21)) % 0.19/0.55 (define @t27 () (not @t26)) % 0.19/0.55 (define @t28 () (tptp.robust_position @t2)) % 0.19/0.55 (define @t29 () (not @t28)) % 0.19/0.55 (define @t30 () (tptp.sk2 @t2)) % 0.19/0.55 (define @t31 () (tptp.age @t2 @t30)) % 0.19/0.55 (define @t32 () (tptp.greater @t31 tptp.tau)) % 0.19/0.55 (define @t33 () (tptp.smaller_or_equal @t31 tptp.tau)) % 0.19/0.55 (define @t34 () (tptp.positional_advantage @t2 @t30)) % 0.19/0.55 (define @t35 () (not @t34)) % 0.19/0.55 (define @t36 () (tptp.age tptp.sk3 tptp.sk4)) % 0.19/0.55 (define @t37 () (tptp.greater_or_equal tptp.sigma tptp.zero)) % 0.19/0.55 (define @t38 () (tptp.greater_or_equal tptp.tau tptp.zero)) % 0.19/0.55 (define @t39 () (tptp.fragile_position tptp.sk3)) % 0.19/0.55 (define @t40 () (tptp.robust_position tptp.sk3)) % 0.19/0.55 (define @t41 () (tptp.smaller_or_equal @t1 @t1)) % 0.19/0.55 (define @t42 () (not (= @t1 @t1))) % 0.19/0.55 (define @t43 () (or @t42 @t41)) % 0.19/0.55 (define @t44 () (@list @t1)) % 0.19/0.55 (define @t45 () (or @t8 @t8 @t5)) % 0.19/0.55 (define @t46 () (forall @t25 @t9)) % 0.19/0.55 (define @t47 () (forall @t44 @t46)) % 0.19/0.55 (define @t48 () (forall (@list @t1 @t2) @t9)) % 0.19/0.55 (define @t49 () (@list tptp.sk3 tptp.sk4)) % 0.19/0.55 (define @t50 () (tptp.smaller_or_equal @t36 tptp.tau)) % 0.19/0.55 (define @t51 () (tptp.smaller @t36 tptp.tau)) % 0.19/0.55 (define @t52 () (not @t51)) % 0.19/0.55 (define @t53 () (or @t52 @t50)) % 0.19/0.55 (define @t54 () (tptp.smaller tptp.zero tptp.tau)) % 0.19/0.55 (define @t55 () (not @t54)) % 0.19/0.55 (define @t56 () (= tptp.zero @t36)) % 0.19/0.56 (define @t57 () (not @t56)) % 0.19/0.56 (define @t58 () (and @t56 @t52)) % 0.19/0.56 (define @t59 () (@list tptp.tau tptp.zero)) % 0.19/0.56 (define @t60 () (tptp.greater tptp.tau tptp.zero)) % 0.19/0.56 (define @t61 () (not @t60)) % 0.19/0.56 (define @t62 () (or @t61 @t54)) % 0.19/0.56 (define @t63 () (= tptp.tau tptp.zero)) % 0.19/0.56 (define @t64 () (not @t38)) % 0.19/0.56 (define @t65 () (or @t64 @t60 @t63)) % 0.19/0.56 (define @t66 () (tptp.smaller_or_equal tptp.tau tptp.tau)) % 0.19/0.56 (define @t67 () (not @t66)) % 0.19/0.56 (define @t68 () (not @t63)) % 0.19/0.56 (define @t69 () (not @t50)) % 0.19/0.56 (define @t70 () (= true false)) % 0.19/0.56 (define @t71 () (and @t69 @t56 @t63 @t66)) % 0.19/0.56 (define @t72 () (tptp.positional_advantage tptp.sk3 tptp.sk4)) % 0.19/0.56 (define @t73 () (not @t72)) % 0.19/0.56 (define @t74 () (not @t40)) % 0.19/0.56 (define @t75 () (or @t74 @t69 @t73)) % 0.19/0.56 (define @t76 () (tptp.smaller_or_equal @t36 tptp.sigma)) % 0.19/0.56 (define @t77 () (not @t76)) % 0.19/0.56 (define @t78 () (not @t39)) % 0.19/0.56 (define @t79 () (or @t78 @t77 @t72)) % 0.19/0.56 (define @t80 () (@list false true false)) % 0.19/0.56 (define @t81 () (@list tptp.sigma tptp.zero)) % 0.19/0.56 (define @t82 () (tptp.smaller @t36 tptp.sigma)) % 0.19/0.56 (define @t83 () (not @t82)) % 0.19/0.56 (define @t84 () (or @t83 @t76)) % 0.19/0.56 (define @t85 () (@list true false)) % 0.19/0.56 (define @t86 () (tptp.smaller tptp.zero tptp.sigma)) % 0.19/0.56 (define @t87 () (not @t86)) % 0.19/0.56 (define @t88 () (and @t56 @t83)) % 0.19/0.56 (define @t89 () (tptp.greater tptp.sigma tptp.zero)) % 0.19/0.56 (define @t90 () (not @t89)) % 0.19/0.56 (define @t91 () (or @t90 @t86)) % 0.19/0.56 (define @t92 () (= tptp.sigma tptp.zero)) % 0.19/0.56 (define @t93 () (not @t37)) % 0.19/0.56 (define @t94 () (or @t93 @t89 @t92)) % 0.19/0.56 (define @t95 () (tptp.smaller_or_equal tptp.sigma tptp.sigma)) % 0.19/0.56 (define @t96 () (not @t95)) % 0.19/0.56 (define @t97 () (not @t92)) % 0.19/0.56 (define @t98 () (and @t77 @t56 @t92 @t95)) % 0.19/0.56 (assume @p1 (forall @t6 (or (not @t5) @t4 @t3))) % 0.19/0.56 (assume @p2 (forall @t6 (or @t7 @t5))) % 0.19/0.56 (assume @p3 @t10) % 0.19/0.56 (assume @p4 (forall @t6 (or (not @t12) @t11 @t3))) % 0.19/0.56 (assume @p5 (forall @t6 (or @t13 @t12))) % 0.19/0.56 (assume @p6 (forall @t6 (or @t8 @t12))) % 0.19/0.56 (assume @p7 (forall @t6 (or @t7 @t14))) % 0.19/0.56 (assume @p8 (forall @t6 (or @t13 (tptp.smaller @t1 @t2)))) % 0.19/0.56 (assume @p9 (forall @t6 (or @t13 (not @t14)))) % 0.19/0.56 (assume @p10 (forall (@list @t2 @t1 @t15) (or @t13 (not (tptp.greater @t1 @t15)) (tptp.greater @t2 @t15)))) % 0.19/0.56 (assume @p11 (forall @t6 (or @t4 @t3 @t11))) % 0.19/0.56 (assume @p12 (forall @t6 (or @t19 (not (tptp.smaller_or_equal @t17 tptp.sigma)) @t16))) % 0.19/0.56 (assume @p13 (forall @t6 (or @t19 (not (tptp.greater @t17 tptp.sigma)) @t20))) % 0.19/0.56 (assume @p14 (forall @t25 (or @t24 @t23 @t18))) % 0.19/0.56 (assume @p15 (forall @t25 (or @t24 @t26 @t18))) % 0.19/0.56 (assume @p16 (forall @t25 (or @t27 @t23 @t18))) % 0.19/0.56 (assume @p17 (forall @t25 (or @t27 @t26 @t18))) % 0.19/0.56 (assume @p18 (forall @t6 (or @t29 (not (tptp.smaller_or_equal @t17 tptp.tau)) @t20))) % 0.19/0.56 (assume @p19 (forall @t6 (or @t29 (not (tptp.greater @t17 tptp.tau)) @t16))) % 0.19/0.56 (assume @p20 (forall @t25 (or @t33 @t32 @t28))) % 0.19/0.56 (assume @p21 (forall @t25 (or @t33 @t35 @t28))) % 0.19/0.56 (assume @p22 (forall @t25 (or @t34 @t32 @t28))) % 0.19/0.56 (assume @p23 (forall @t25 (or @t34 @t35 @t28))) % 0.19/0.56 (assume @p24 (tptp.organization tptp.sk3)) % 0.19/0.56 (assume @p25 (= @t36 tptp.zero)) % 0.19/0.56 (assume @p26 @t37) % 0.19/0.56 (assume @p27 @t38) % 0.19/0.56 (assume @p28 @t39) % 0.19/0.56 (assume @p29 @t40) % 0.19/0.56 (step @p30 :rule symm :premises (@p25)) % 0.19/0.56 (step @p31 :rule aci_norm :args ((= (or false @t41) @t41))) % 0.19/0.56 (step @p32 :rule refl :args (@t41)) % 0.19/0.56 (step @p33 :rule evaluate :args ((not true))) % 0.19/0.56 (step @p34 :rule eq-refl :args (@t1)) % 0.19/0.56 (step @p35 :rule cong :premises (@p34) :args (@t42)) % 0.19/0.56 (step @p36 :rule trans :premises (@p35 @p33)) % 0.19/0.56 (step @p37 :rule nary_cong :premises (@p36 @p32) :args (@t43)) % 0.19/0.56 (step @p38 :rule trans :premises (@p37 @p31)) % 0.19/0.56 (step @p39 :rule cong :premises (@p38) :args ((forall @t44 @t43))) % 0.19/0.56 (step @p40 :rule quant-var-elim-eq :args ((= (forall @t25 @t45) @t43))) % 0.19/0.56 (step @p41 :rule aci_norm :args ((= @t9 @t45))) % 0.19/0.56 (step @p42 :rule cong :premises (@p41) :args (@t46)) % 0.19/0.56 (step @p43 :rule trans :premises (@p42 @p40)) % 0.19/0.56 (step @p44 :rule cong :premises (@p43) :args (@t47)) % 0.19/0.56 (step @p45 :rule quant-merge-prenex :args ((= @t47 @t48))) % 0.19/0.56 (step @p46 :rule symm :premises (@p45)) % 0.19/0.56 (step @p47 :rule quant_var_reordering :args ((= @t10 @t48))) % 0.19/0.56 (step @p48 :rule trans :premises (@p47 @p46 @p44)) % 0.19/0.56 (step @p49 :rule trans :premises (@p48 @p39)) % 0.19/0.56 (step @p50 :rule eq_resolve :premises (@p3 @p49)) % 0.19/0.56 (step @p51 :rule instantiate :premises (@p50) :args ((@list tptp.sigma))) % 0.19/0.56 (step @p52 :rule instantiate :premises (@p12) :args (@t49)) % 0.19/0.56 (step @p53 :rule instantiate :premises (@p18) :args (@t49)) % 0.19/0.56 (step @p54 :rule instantiate :premises (@p2) :args ((@list @t36 tptp.tau))) % 0.19/0.56 (step @p55 :rule cnf_or_pos :args (@t53)) % 0.19/0.56 (step @p56 :rule reordering :premises (@p55) :args ((or @t50 @t52 (not @t53)))) % 0.19/0.56 (step @p57 :rule refl :args (@t55)) % 0.19/0.56 (step @p58 :rule bool-double-not-elim :args (@t51)) % 0.19/0.56 (step @p59 :rule refl :args (@t57)) % 0.19/0.56 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args ((or @t57 (not @t52) @t55))) % 0.19/0.56 (assume-push @p205 @t56) % 0.19/0.56 (assume-push @p206 @t52) % 0.19/0.56 (assume-push @p207 @t52) % 0.19/0.56 (assume-push @p208 @t56) % 0.19/0.56 (step @p65 :rule false_intro :premises (@p206)) % 0.19/0.56 (step @p66 :rule refl :args (tptp.tau)) % 0.19/0.56 (step @p67 :rule cong :premises (@p30 @p66) :args (@t54)) % 0.19/0.56 (step @p68 :rule trans :premises (@p67 @p65)) % 0.19/0.56 (step @p69 :rule false_elim :premises (@p68)) % 0.19/0.56 (step-pop @p209 :rule scope :premises (@p69)) % 0.19/0.56 (step-pop @p210 :rule scope :premises (@p209)) % 0.19/0.56 (step @p70 :rule process_scope :premises (@p210) :args (@t55)) % 0.19/0.56 (step @p73 :rule and_intro :premises (@p206 @p30)) % 0.19/0.56 (step @p74 :rule modus_ponens :premises (@p73 @p70)) % 0.19/0.56 (step-pop @p211 :rule scope :premises (@p74)) % 0.19/0.56 (step-pop @p212 :rule scope :premises (@p211)) % 0.19/0.56 (step @p75 :rule process_scope :premises (@p212) :args (@t55)) % 0.19/0.56 (step @p78 :rule implies_elim :premises (@p75)) % 0.19/0.56 (step @p79 :rule cnf_and_neg :args (@t58)) % 0.19/0.56 (step @p80 :rule resolution :premises (@p79 @p78) :args (true @t58)) % 0.19/0.56 (step @p81 :rule eq_resolve :premises (@p80 @p60)) % 0.19/0.56 (step @p82 :rule instantiate :premises (@p8) :args (@t59)) % 0.19/0.56 (step @p83 :rule cnf_or_pos :args (@t62)) % 0.19/0.56 (step @p84 :rule reordering :premises (@p83) :args ((or @t61 @t54 (not @t62)))) % 0.19/0.56 (step @p85 :rule instantiate :premises (@p4) :args (@t59)) % 0.19/0.56 (step @p86 :rule cnf_or_pos :args (@t65)) % 0.19/0.56 (step @p87 :rule reordering :premises (@p86) :args ((or @t64 @t60 @t63 (not @t65)))) % 0.19/0.56 (step @p88 :rule instantiate :premises (@p50) :args ((@list tptp.tau))) % 0.19/0.56 (step @p89 :rule refl :args (@t67)) % 0.19/0.56 (step @p90 :rule bool-double-not-elim :args (@t50)) % 0.19/0.56 (step @p91 :rule refl :args (@t68)) % 0.19/0.56 (step @p92 :rule nary_cong :premises (@p59 @p91 @p90 @p89) :args ((or @t57 @t68 (not @t69) @t67))) % 0.19/0.56 (assume-push @p213 @t69) % 0.19/0.56 (assume-push @p214 @t56) % 0.19/0.56 (assume-push @p215 @t63) % 0.19/0.56 (assume-push @p216 @t66) % 0.19/0.56 (step @p97 :rule evaluate :args (@t70)) % 0.19/0.56 (step @p98 :rule false_intro :premises (@p213)) % 0.19/0.56 (step @p66 :rule refl :args (tptp.tau)) % 0.19/0.56 (step @p99 :rule trans :premises (@p215 @p30)) % 0.19/0.56 (step @p100 :rule cong :premises (@p99 @p66) :args (@t66)) % 0.19/0.56 (step @p101 :rule true_intro :premises (@p88)) % 0.19/0.56 (step @p102 :rule symm :premises (@p101)) % 0.19/0.56 (step @p103 :rule trans :premises (@p102 @p100 @p98)) % 0.19/0.56 (step @p104 false :rule eq_resolve :premises (@p103 @p97)) % 0.19/0.56 (step-pop @p217 :rule scope :premises (@p104)) % 0.19/0.56 (step-pop @p218 :rule scope :premises (@p217)) % 0.19/0.56 (step-pop @p219 :rule scope :premises (@p218)) % 0.19/0.56 (step-pop @p220 :rule scope :premises (@p219)) % 0.19/0.56 (step @p105 :rule process_scope :premises (@p220) :args (false)) % 0.19/0.56 (assume-push @p221 @t56) % 0.19/0.56 (assume-push @p222 @t63) % 0.19/0.56 (assume-push @p223 @t69) % 0.19/0.56 (assume-push @p224 @t66) % 0.19/0.56 (step @p114 :rule and_intro :premises (@p223 @p30 @p222 @p88)) % 0.19/0.56 (step-pop @p225 :rule scope :premises (@p114)) % 0.19/0.56 (step-pop @p226 :rule scope :premises (@p225)) % 0.19/0.56 (step-pop @p227 :rule scope :premises (@p226)) % 0.19/0.56 (step-pop @p228 :rule scope :premises (@p227)) % 0.19/0.56 (step @p115 :rule process_scope :premises (@p228) :args (@t71)) % 0.19/0.56 (step @p120 :rule implies_elim :premises (@p115)) % 0.19/0.56 (step @p121 :rule resolution :premises (@p120 @p105) :args (true @t71)) % 0.19/0.56 (step @p122 :rule not_and :premises (@p121)) % 0.19/0.56 (step @p123 :rule eq_resolve :premises (@p122 @p92)) % 0.19/0.56 (step @p124 :rule reordering :premises (@p123) :args ((or @t57 @t50 @t68 @t67))) % 0.19/0.56 (step @p125 :rule chain_m_resolution :premises (@p124 @p88 @p30 @p87 @p85 @p27 @p84 @p82 @p81 @p30 @p56 @p54) :args (@t50 (@list false false false false false true false true false true false) (@list @t66 @t56 @t63 @t65 @t38 @t60 @t62 @t54 @t56 @t51 @t53))) % 0.19/0.56 (step @p126 :rule cnf_or_pos :args (@t75)) % 0.19/0.56 (step @p127 :rule reordering :premises (@p126) :args ((or @t74 @t73 @t69 (not @t75)))) % 0.19/0.56 (step @p128 :rule chain_m_resolution :premises (@p127 @p29 @p125 @p53) :args (@t73 (@list false false false) (@list @t40 @t50 @t75))) % 0.19/0.56 (step @p129 :rule cnf_or_pos :args (@t79)) % 0.19/0.56 (step @p130 :rule reordering :premises (@p129) :args ((or @t78 @t77 @t72 (not @t79)))) % 0.19/0.56 (step @p131 :rule chain_m_resolution :premises (@p130 @p28 @p128 @p52) :args (@t77 @t80 (@list @t39 @t72 @t79))) % 0.19/0.56 (step @p132 :rule instantiate :premises (@p4) :args (@t81)) % 0.19/0.56 (step @p133 :rule instantiate :premises (@p8) :args (@t81)) % 0.19/0.56 (step @p134 :rule instantiate :premises (@p2) :args ((@list @t36 tptp.sigma))) % 0.19/0.56 (step @p135 :rule cnf_or_pos :args (@t84)) % 0.19/0.56 (step @p136 :rule reordering :premises (@p135) :args ((or @t76 @t83 (not @t84)))) % 0.19/0.56 (step @p137 :rule chain_m_resolution :premises (@p136 @p131 @p134) :args (@t83 @t85 (@list @t76 @t84))) % 0.19/0.56 (step @p138 :rule refl :args (@t87)) % 0.19/0.56 (step @p139 :rule bool-double-not-elim :args (@t82)) % 0.19/0.56 (step @p140 :rule nary_cong :premises (@p59 @p139 @p138) :args ((or @t57 (not @t83) @t87))) % 0.19/0.56 (assume-push @p229 @t56) % 0.19/0.56 (assume-push @p230 @t83) % 0.19/0.56 (assume-push @p231 @t83) % 0.19/0.56 (assume-push @p232 @t56) % 0.19/0.56 (step @p145 :rule false_intro :premises (@p230)) % 0.19/0.56 (step @p146 :rule refl :args (tptp.sigma)) % 0.19/0.56 (step @p147 :rule cong :premises (@p30 @p146) :args (@t86)) % 0.19/0.56 (step @p148 :rule trans :premises (@p147 @p145)) % 0.19/0.56 (step @p149 :rule false_elim :premises (@p148)) % 0.19/0.56 (step-pop @p233 :rule scope :premises (@p149)) % 0.19/0.56 (step-pop @p234 :rule scope :premises (@p233)) % 0.19/0.56 (step @p150 :rule process_scope :premises (@p234) :args (@t87)) % 0.19/0.56 (step @p153 :rule and_intro :premises (@p230 @p30)) % 0.19/0.56 (step @p154 :rule modus_ponens :premises (@p153 @p150)) % 0.19/0.56 (step-pop @p235 :rule scope :premises (@p154)) % 0.19/0.56 (step-pop @p236 :rule scope :premises (@p235)) % 0.19/0.56 (step @p155 :rule process_scope :premises (@p236) :args (@t87)) % 0.19/0.56 (step @p158 :rule implies_elim :premises (@p155)) % 0.19/0.56 (step @p159 :rule cnf_and_neg :args (@t88)) % 0.19/0.56 (step @p160 :rule resolution :premises (@p159 @p158) :args (true @t88)) % 0.19/0.56 (step @p161 :rule eq_resolve :premises (@p160 @p140)) % 0.19/0.56 (step @p162 :rule chain_m_resolution :premises (@p161 @p30 @p137) :args (@t87 (@list false true) (@list @t56 @t82))) % 0.19/0.56 (step @p163 :rule cnf_or_pos :args (@t91)) % 0.19/0.56 (step @p164 :rule reordering :premises (@p163) :args ((or @t90 @t86 (not @t91)))) % 0.19/0.56 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p133) :args (@t90 @t85 (@list @t86 @t91))) % 0.19/0.56 (step @p166 :rule cnf_or_pos :args (@t94)) % 0.19/0.56 (step @p167 :rule reordering :premises (@p166) :args ((or @t93 @t89 @t92 (not @t94)))) % 0.19/0.56 (step @p168 :rule chain_m_resolution :premises (@p167 @p26 @p165 @p132) :args (@t92 @t80 (@list @t37 @t89 @t94))) % 0.19/0.56 (step @p169 :rule refl :args (@t96)) % 0.19/0.56 (step @p170 :rule bool-double-not-elim :args (@t76)) % 0.19/0.56 (step @p171 :rule refl :args (@t97)) % 0.19/0.56 (step @p172 :rule nary_cong :premises (@p59 @p171 @p170 @p169) :args ((or @t57 @t97 (not @t77) @t96))) % 0.19/0.56 (assume-push @p237 @t77) % 0.19/0.56 (assume-push @p238 @t56) % 0.19/0.56 (assume-push @p239 @t92) % 0.19/0.56 (assume-push @p240 @t95) % 0.19/0.56 (step @p97 :rule evaluate :args (@t70)) % 0.19/0.56 (step @p177 :rule false_intro :premises (@p237)) % 0.19/0.56 (step @p146 :rule refl :args (tptp.sigma)) % 0.19/0.56 (step @p178 :rule cong :premises (@p30 @p146) :args ((tptp.smaller_or_equal tptp.zero tptp.sigma))) % 0.19/0.56 (step @p179 :rule cong :premises (@p239 @p146) :args (@t95)) % 0.19/0.56 (step @p180 :rule true_intro :premises (@p51)) % 0.19/0.56 (step @p181 :rule symm :premises (@p180)) % 0.19/0.56 (step @p182 :rule trans :premises (@p181 @p179 @p178 @p177)) % 0.19/0.56 (step @p183 false :rule eq_resolve :premises (@p182 @p97)) % 0.19/0.56 (step-pop @p241 :rule scope :premises (@p183)) % 0.19/0.56 (step-pop @p242 :rule scope :premises (@p241)) % 0.19/0.56 (step-pop @p243 :rule scope :premises (@p242)) % 0.19/0.56 (step-pop @p244 :rule scope :premises (@p243)) % 0.19/0.56 (step @p184 :rule process_scope :premises (@p244) :args (false)) % 0.19/0.56 (assume-push @p245 @t56) % 0.19/0.56 (assume-push @p246 @t92) % 0.19/0.56 (assume-push @p247 @t77) % 0.19/0.56 (assume-push @p248 @t95) % 0.19/0.56 (step @p193 :rule and_intro :premises (@p247 @p30 @p246 @p51)) % 0.19/0.56 (step-pop @p249 :rule scope :premises (@p193)) % 0.19/0.56 (step-pop @p250 :rule scope :premises (@p249)) % 0.19/0.56 (step-pop @p251 :rule scope :premises (@p250)) % 0.19/0.56 (step-pop @p252 :rule scope :premises (@p251)) % 0.19/0.56 (step @p194 :rule process_scope :premises (@p252) :args (@t98)) % 0.19/0.56 (step @p199 :rule implies_elim :premises (@p194)) % 0.19/0.56 (step @p200 :rule resolution :premises (@p199 @p184) :args (true @t98)) % 0.19/0.56 (step @p201 :rule not_and :premises (@p200)) % 0.19/0.56 (step @p202 :rule eq_resolve :premises (@p201 @p172)) % 0.19/0.56 (step @p203 :rule reordering :premises (@p202) :args ((or @t57 @t76 @t97 @t96))) % 0.19/0.56 (step @p204 false :rule chain_m_resolution :premises (@p203 @p168 @p131 @p51 @p30) :args (false (@list false true false false) (@list @t92 @t76 @t95 @t56))) % 0.19/0.56 ) % 0.19/0.56 % SZS output end Proof % 0.27/0.56 % cvc5 exiting %------------------------------------------------------------------------------