%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN551+1 : TPTP v9.2.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:09:22 AM UTC 2026 % Result : Theorem 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN551+1 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 23:32:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.37 % SZS status Theorem % 0.15/0.37 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.15/0.37 (define @t1 () (@var "Z" $$unsorted)) % 0.15/0.37 (define @t2 () (@var "Y" $$unsorted)) % 0.15/0.37 (define @t3 () (= @t2 @t1)) % 0.15/0.37 (define @t4 () (= @t1 (tptp.g (tptp.f @t1)))) % 0.15/0.37 (define @t5 () (= @t2 (tptp.g (tptp.f @t2)))) % 0.15/0.37 (define @t6 () (and @t5 @t4)) % 0.15/0.37 (define @t7 () (@list @t2 @t1)) % 0.15/0.37 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.15/0.37 (define @t9 () (@var "X" $$unsorted)) % 0.15/0.37 (define @t10 () (= @t9 (tptp.g (tptp.f @t9)))) % 0.15/0.37 (define @t11 () (@list @t9)) % 0.15/0.37 (define @t12 () (exists @t11 @t10)) % 0.15/0.37 (define @t13 () (and @t12 @t8)) % 0.15/0.37 (define @t14 () (= @t1 (tptp.f (tptp.g @t1)))) % 0.15/0.37 (define @t15 () (= @t2 (tptp.f (tptp.g @t2)))) % 0.15/0.37 (define @t16 () (and @t15 @t14)) % 0.15/0.37 (define @t17 () (forall @t7 (=> @t16 @t3))) % 0.15/0.37 (define @t18 () (= @t9 (tptp.f (tptp.g @t9)))) % 0.15/0.37 (define @t19 () (exists @t11 @t18)) % 0.15/0.37 (define @t20 () (and @t19 @t17)) % 0.15/0.37 (define @t21 () (= @t20 @t13)) % 0.15/0.37 (define @t22 () (not @t21)) % 0.15/0.37 (define @t23 () (forall @t11 (not @t18))) % 0.15/0.37 (define @t24 () (@quantifiers_skolemize @t23 0)) % 0.15/0.37 (define @t25 () (tptp.g @t24)) % 0.15/0.37 (define @t26 () (tptp.f @t25)) % 0.15/0.37 (define @t27 () (= @t24 @t26)) % 0.15/0.37 (define @t28 () (not @t23)) % 0.15/0.37 (define @t29 () (not @t28)) % 0.15/0.37 (define @t30 () (not @t27)) % 0.15/0.37 (define @t31 () (not @t30)) % 0.15/0.37 (define @t32 () (not @t4)) % 0.15/0.37 (define @t33 () (not @t5)) % 0.15/0.37 (define @t34 () (or @t33 @t32 @t3)) % 0.15/0.37 (define @t35 () (forall @t11 (not @t10))) % 0.15/0.37 (define @t36 () (not @t35)) % 0.15/0.37 (define @t37 () (not @t14)) % 0.15/0.37 (define @t38 () (not @t15)) % 0.15/0.37 (define @t39 () (or @t38 @t37 @t3)) % 0.15/0.37 (define @t40 () (forall @t7 @t39)) % 0.15/0.37 (define @t41 () (and @t28 @t40)) % 0.15/0.37 (define @t42 () (not @t41)) % 0.15/0.37 (define @t43 () (forall @t7 @t34)) % 0.15/0.37 (define @t44 () (@quantifiers_skolemize @t43 0)) % 0.15/0.37 (define @t45 () (tptp.f @t44)) % 0.15/0.37 (define @t46 () (= @t24 @t45)) % 0.15/0.37 (define @t47 () (tptp.g @t45)) % 0.15/0.37 (define @t48 () (= @t45 (tptp.f @t47))) % 0.15/0.37 (define @t49 () (not @t48)) % 0.15/0.37 (define @t50 () (or @t30 @t49 @t46)) % 0.15/0.37 (define @t51 () (@quantifiers_skolemize @t43 1)) % 0.15/0.37 (define @t52 () (tptp.f @t51)) % 0.15/0.37 (define @t53 () (= @t24 @t52)) % 0.15/0.37 (define @t54 () (tptp.g @t52)) % 0.15/0.37 (define @t55 () (= @t52 (tptp.f @t54))) % 0.15/0.37 (define @t56 () (not @t55)) % 0.15/0.37 (define @t57 () (or @t30 @t56 @t53)) % 0.15/0.37 (define @t58 () (= @t25 (tptp.g @t26))) % 0.15/0.37 (define @t59 () (not @t43)) % 0.15/0.37 (define @t60 () (and @t36 @t43)) % 0.15/0.37 (define @t61 () (not @t36)) % 0.15/0.37 (define @t62 () (= @t44 @t51)) % 0.15/0.37 (define @t63 () (= @t51 @t54)) % 0.15/0.37 (define @t64 () (not @t63)) % 0.15/0.37 (define @t65 () (= @t44 @t47)) % 0.15/0.37 (define @t66 () (not @t65)) % 0.15/0.37 (define @t67 () (or @t66 @t64 @t62)) % 0.15/0.37 (define @t68 () (not @t67)) % 0.15/0.37 (define @t69 () (and @t65 @t63 @t46 @t53)) % 0.15/0.37 (define @t70 () (not @t60)) % 0.15/0.37 (define @t71 () (not @t40)) % 0.15/0.37 (define @t72 () (@quantifiers_skolemize @t40 1)) % 0.15/0.37 (define @t73 () (@quantifiers_skolemize @t40 0)) % 0.15/0.37 (define @t74 () (= @t73 @t72)) % 0.15/0.37 (define @t75 () (tptp.g @t72)) % 0.15/0.37 (define @t76 () (tptp.f @t75)) % 0.15/0.37 (define @t77 () (= @t72 @t76)) % 0.15/0.37 (define @t78 () (not @t77)) % 0.15/0.37 (define @t79 () (tptp.g @t73)) % 0.15/0.37 (define @t80 () (tptp.f @t79)) % 0.15/0.37 (define @t81 () (= @t73 @t80)) % 0.15/0.37 (define @t82 () (not @t81)) % 0.15/0.37 (define @t83 () (or @t82 @t78 @t74)) % 0.15/0.37 (define @t84 () (not @t83)) % 0.15/0.37 (define @t85 () (= @t79 @t75)) % 0.15/0.37 (define @t86 () (= @t75 (tptp.g @t76))) % 0.15/0.37 (define @t87 () (not @t86)) % 0.15/0.37 (define @t88 () (= @t79 (tptp.g @t80))) % 0.15/0.37 (define @t89 () (not @t88)) % 0.15/0.37 (define @t90 () (or @t89 @t87 @t85)) % 0.15/0.37 (define @t91 () (and @t81 @t77 @t85)) % 0.15/0.37 (define @t92 () (@list false)) % 0.15/0.37 (define @t93 () (@list true)) % 0.15/0.37 (define @t94 () (@quantifiers_skolemize @t35 0)) % 0.15/0.37 (define @t95 () (tptp.f @t94)) % 0.15/0.37 (define @t96 () (tptp.g @t95)) % 0.15/0.37 (define @t97 () (= @t94 @t96)) % 0.15/0.37 (define @t98 () (not (not @t97))) % 0.15/0.37 (define @t99 () (= @t95 (tptp.f @t96))) % 0.15/0.37 (assume @p1 @t22) % 0.15/0.37 (assume @p2 true) % 0.15/0.37 (step @p3 :rule refl :args (@t27)) % 0.15/0.37 (step @p4 :rule bool-double-not-elim :args (@t23)) % 0.15/0.37 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t29 @t27))) % 0.15/0.37 (step @p6 :rule bool-double-not-elim :args (@t27)) % 0.15/0.37 (step @p7 :rule refl :args (@t28)) % 0.15/0.37 (step @p8 :rule cong :premises (@p7 @p6) :args ((=> @t28 @t31))) % 0.15/0.37 (assume-push @p260 @t28) % 0.15/0.37 (step @p10 :rule skolemize :premises (@p260)) % 0.15/0.37 (step-pop @p261 :rule scope :premises (@p10)) % 0.15/0.37 (step @p11 :rule process_scope :premises (@p261) :args (@t31)) % 0.15/0.37 (step @p13 :rule eq_resolve :premises (@p11 @p8)) % 0.15/0.37 (step @p14 :rule implies_elim :premises (@p13)) % 0.15/0.37 (step @p15 :rule eq_resolve :premises (@p14 @p5)) % 0.15/0.37 (step @p16 :rule aci_norm :args ((= (or (or @t33 @t32) @t3) @t34))) % 0.15/0.37 (step @p17 :rule refl :args (@t3)) % 0.15/0.37 (step @p18 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.15/0.37 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t6) @t3))) % 0.15/0.37 (step @p20 :rule trans :premises (@p19 @p16)) % 0.15/0.37 (step @p21 :rule bool-impl-elim :args (@t6 @t3)) % 0.15/0.37 (step @p22 :rule trans :premises (@p21 @p20)) % 0.15/0.37 (step @p23 :rule cong :premises (@p22) :args (@t8)) % 0.15/0.37 (step @p24 :rule exists-elim :args ((= @t12 @t36))) % 0.15/0.37 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t13)) % 0.15/0.37 (step @p26 :rule aci_norm :args ((= (or (or @t38 @t37) @t3) @t39))) % 0.15/0.37 (step @p27 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.15/0.37 (step @p28 :rule nary_cong :premises (@p27 @p17) :args ((or (not @t16) @t3))) % 0.15/0.37 (step @p29 :rule trans :premises (@p28 @p26)) % 0.15/0.37 (step @p30 :rule bool-impl-elim :args (@t16 @t3)) % 0.15/0.37 (step @p31 :rule trans :premises (@p30 @p29)) % 0.15/0.37 (step @p32 :rule cong :premises (@p31) :args (@t17)) % 0.15/0.37 (step @p33 :rule exists-elim :args ((= @t19 @t28))) % 0.15/0.37 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t20)) % 0.15/0.37 (step @p35 :rule cong :premises (@p34 @p25) :args (@t21)) % 0.15/0.37 (step @p36 :rule cong :premises (@p35) :args (@t22)) % 0.15/0.37 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.15/0.37 (step @p38 :rule not_equiv_elim1 :premises (@p37)) % 0.15/0.37 (step @p39 :rule cnf_and_pos :args (@t41 1)) % 0.15/0.37 (step @p40 :rule reordering :premises (@p39) :args ((or @t40 @t42))) % 0.15/0.37 (assume-push @p262 @t40) % 0.15/0.37 (step @p42 :rule instantiate :premises (@p262) :args ((@list @t24 @t45))) % 0.15/0.37 (step-pop @p263 :rule scope :premises (@p42)) % 0.15/0.37 (step @p43 :rule process_scope :premises (@p263) :args (@t50)) % 0.15/0.37 (step @p45 :rule implies_elim :premises (@p43)) % 0.15/0.37 (assume-push @p264 @t40) % 0.15/0.37 (step @p47 :rule instantiate :premises (@p264) :args ((@list @t24 @t52))) % 0.15/0.37 (step-pop @p265 :rule scope :premises (@p47)) % 0.15/0.37 (step @p48 :rule process_scope :premises (@p265) :args (@t57)) % 0.15/0.37 (step @p50 :rule implies_elim :premises (@p48)) % 0.15/0.37 (assume-push @p266 @t27) % 0.15/0.37 (assume-push @p267 @t27) % 0.15/0.37 (step @p53 :rule cong :premises (@p266) :args (@t25)) % 0.15/0.37 (step-pop @p268 :rule scope :premises (@p53)) % 0.15/0.37 (step @p54 :rule process_scope :premises (@p268) :args (@t58)) % 0.15/0.37 (step @p56 :rule modus_ponens :premises (@p266 @p54)) % 0.15/0.37 (step-pop @p269 :rule scope :premises (@p56)) % 0.15/0.37 (step @p57 :rule process_scope :premises (@p269) :args (@t58)) % 0.15/0.37 (step @p59 :rule implies_elim :premises (@p57)) % 0.15/0.37 (assume-push @p270 @t35) % 0.15/0.37 (step @p61 :rule instantiate :premises (@p270) :args ((@list @t25))) % 0.15/0.37 (step-pop @p271 :rule scope :premises (@p61)) % 0.15/0.37 (step @p62 :rule process_scope :premises (@p271) :args ((not @t58))) % 0.15/0.37 (step @p64 :rule implies_elim :premises (@p62)) % 0.15/0.37 (step @p65 :rule refl :args (@t59)) % 0.15/0.37 (step @p66 :rule bool-double-not-elim :args (@t35)) % 0.15/0.37 (step @p67 :rule refl :args (@t60)) % 0.15/0.37 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args ((or @t60 @t61 @t59))) % 0.15/0.37 (step @p69 :rule cnf_and_neg :args (@t60)) % 0.15/0.37 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.15/0.37 (step @p71 :rule reordering :premises (@p70) :args ((or @t35 @t60 @t59))) % 0.15/0.37 (step @p72 :rule refl :args (@t68)) % 0.15/0.37 (step @p73 :rule bool-double-not-elim :args (@t43)) % 0.15/0.37 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t59) @t68))) % 0.15/0.37 (assume-push @p272 @t59) % 0.15/0.37 (step @p76 :rule skolemize :premises (@p272)) % 0.15/0.37 (step-pop @p273 :rule scope :premises (@p76)) % 0.15/0.37 (step @p77 :rule process_scope :premises (@p273) :args (@t68)) % 0.15/0.37 (step @p79 :rule implies_elim :premises (@p77)) % 0.15/0.37 (step @p80 :rule eq_resolve :premises (@p79 @p74)) % 0.15/0.37 (step @p81 :rule bool-double-not-elim :args (@t65)) % 0.15/0.37 (step @p82 :rule refl :args (@t67)) % 0.15/0.37 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t67 (not @t66)))) % 0.15/0.37 (step @p84 :rule cnf_or_neg :args (@t67 0)) % 0.15/0.37 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.15/0.37 (step @p86 :rule reordering :premises (@p85) :args ((or @t65 @t67))) % 0.15/0.37 (step @p87 :rule bool-double-not-elim :args (@t63)) % 0.15/0.37 (step @p88 :rule nary_cong :premises (@p82 @p87) :args ((or @t67 (not @t64)))) % 0.15/0.37 (step @p89 :rule cnf_or_neg :args (@t67 1)) % 0.15/0.37 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.15/0.37 (step @p91 :rule reordering :premises (@p90) :args ((or @t63 @t67))) % 0.15/0.37 (step @p92 :rule cnf_or_neg :args (@t67 2)) % 0.15/0.37 (assume-push @p274 @t65) % 0.15/0.37 (assume-push @p275 @t65) % 0.15/0.37 (step @p95 :rule cong :premises (@p274) :args (@t45)) % 0.15/0.37 (step-pop @p276 :rule scope :premises (@p95)) % 0.15/0.37 (step @p96 :rule process_scope :premises (@p276) :args (@t48)) % 0.15/0.37 (step @p98 :rule modus_ponens :premises (@p274 @p96)) % 0.15/0.37 (step-pop @p277 :rule scope :premises (@p98)) % 0.15/0.37 (step @p99 :rule process_scope :premises (@p277) :args (@t48)) % 0.15/0.37 (step @p101 :rule implies_elim :premises (@p99)) % 0.15/0.37 (assume-push @p278 @t63) % 0.15/0.37 (assume-push @p279 @t63) % 0.15/0.37 (step @p104 :rule cong :premises (@p278) :args (@t52)) % 0.15/0.37 (step-pop @p280 :rule scope :premises (@p104)) % 0.15/0.37 (step @p105 :rule process_scope :premises (@p280) :args (@t55)) % 0.15/0.37 (step @p107 :rule modus_ponens :premises (@p278 @p105)) % 0.15/0.37 (step-pop @p281 :rule scope :premises (@p107)) % 0.15/0.37 (step @p108 :rule process_scope :premises (@p281) :args (@t55)) % 0.15/0.37 (step @p110 :rule implies_elim :premises (@p108)) % 0.15/0.37 (step @p111 :rule cnf_or_pos :args (@t50)) % 0.15/0.37 (step @p112 :rule reordering :premises (@p111) :args ((or @t30 @t49 @t46 (not @t50)))) % 0.15/0.37 (step @p113 :rule cnf_or_pos :args (@t57)) % 0.15/0.37 (step @p114 :rule reordering :premises (@p113) :args ((or @t30 @t56 @t53 (not @t57)))) % 0.15/0.37 (assume-push @p282 @t65) % 0.15/0.37 (assume-push @p283 @t63) % 0.15/0.37 (assume-push @p284 @t46) % 0.15/0.37 (assume-push @p285 @t53) % 0.15/0.37 (assume-push @p286 @t63) % 0.15/0.37 (assume-push @p287 @t53) % 0.15/0.37 (assume-push @p288 @t46) % 0.15/0.37 (assume-push @p289 @t65) % 0.15/0.37 (step @p123 :rule symm :premises (@p283)) % 0.15/0.37 (step @p124 :rule cong :premises (@p285) :args (@t25)) % 0.15/0.37 (step @p125 :rule symm :premises (@p284)) % 0.15/0.37 (step @p126 :rule cong :premises (@p125) :args (@t47)) % 0.15/0.37 (step @p127 :rule trans :premises (@p282 @p126 @p124 @p123)) % 0.15/0.37 (step-pop @p290 :rule scope :premises (@p127)) % 0.15/0.37 (step-pop @p291 :rule scope :premises (@p290)) % 0.15/0.37 (step-pop @p292 :rule scope :premises (@p291)) % 0.15/0.37 (step-pop @p293 :rule scope :premises (@p292)) % 0.15/0.37 (step @p128 :rule process_scope :premises (@p293) :args (@t62)) % 0.15/0.37 (step @p133 :rule and_intro :premises (@p283 @p285 @p284 @p282)) % 0.15/0.37 (step @p134 :rule modus_ponens :premises (@p133 @p128)) % 0.15/0.37 (step-pop @p294 :rule scope :premises (@p134)) % 0.15/0.37 (step-pop @p295 :rule scope :premises (@p294)) % 0.15/0.37 (step-pop @p296 :rule scope :premises (@p295)) % 0.15/0.37 (step-pop @p297 :rule scope :premises (@p296)) % 0.15/0.37 (step @p135 :rule process_scope :premises (@p297) :args (@t62)) % 0.15/0.37 (step @p140 :rule implies_elim :premises (@p135)) % 0.15/0.37 (step @p141 :rule cnf_and_neg :args (@t69)) % 0.15/0.37 (step @p142 :rule resolution :premises (@p141 @p140) :args (true @t69)) % 0.15/0.37 (step @p143 :rule reordering :premises (@p142) :args ((or @t66 @t64 @t62 (not @t46) (not @t53)))) % 0.15/0.37 (step @p144 :rule chain_m_resolution :premises (@p143 @p114 @p112 @p110 @p101 @p92 @p91 @p86 @p80 @p71 @p64 @p59 @p50 @p45 @p40 @p38) :args ((or @t60 @t30) (@list false false false false true false false true true true false false false false false) (@list @t53 @t46 @t55 @t48 @t62 @t63 @t65 @t67 @t43 @t35 @t58 @t57 @t50 @t40 @t41))) % 0.15/0.37 (step @p145 :rule cnf_and_pos :args (@t60 1)) % 0.15/0.37 (step @p146 :rule reordering :premises (@p145) :args ((or @t43 @t70))) % 0.15/0.37 (step @p147 :rule not_equiv_elim2 :premises (@p37)) % 0.15/0.37 (step @p148 :rule refl :args (@t71)) % 0.15/0.37 (step @p149 :rule refl :args (@t41)) % 0.15/0.37 (step @p150 :rule nary_cong :premises (@p149 @p4 @p148) :args ((or @t41 @t29 @t71))) % 0.15/0.37 (step @p151 :rule cnf_and_neg :args (@t41)) % 0.15/0.37 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.15/0.37 (step @p153 :rule reordering :premises (@p152) :args ((or @t23 @t41 @t71))) % 0.15/0.37 (step @p154 :rule refl :args (@t84)) % 0.15/0.37 (step @p155 :rule bool-double-not-elim :args (@t40)) % 0.15/0.37 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t71) @t84))) % 0.15/0.37 (assume-push @p298 @t71) % 0.15/0.37 (step @p158 :rule skolemize :premises (@p298)) % 0.15/0.37 (step-pop @p299 :rule scope :premises (@p158)) % 0.15/0.37 (step @p159 :rule process_scope :premises (@p299) :args (@t84)) % 0.15/0.37 (step @p161 :rule implies_elim :premises (@p159)) % 0.15/0.37 (step @p162 :rule eq_resolve :premises (@p161 @p156)) % 0.15/0.37 (step @p163 :rule bool-double-not-elim :args (@t81)) % 0.15/0.37 (step @p164 :rule refl :args (@t83)) % 0.15/0.37 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t83 (not @t82)))) % 0.15/0.37 (step @p166 :rule cnf_or_neg :args (@t83 0)) % 0.15/0.37 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.15/0.37 (step @p168 :rule reordering :premises (@p167) :args ((or @t81 @t83))) % 0.15/0.37 (step @p169 :rule bool-double-not-elim :args (@t77)) % 0.15/0.37 (step @p170 :rule nary_cong :premises (@p164 @p169) :args ((or @t83 (not @t78)))) % 0.15/0.37 (step @p171 :rule cnf_or_neg :args (@t83 1)) % 0.15/0.37 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 0.15/0.37 (step @p173 :rule reordering :premises (@p172) :args ((or @t77 @t83))) % 0.15/0.37 (step @p174 :rule cnf_or_neg :args (@t83 2)) % 0.15/0.37 (assume-push @p300 @t43) % 0.15/0.37 (step @p176 :rule instantiate :premises (@p300) :args ((@list @t79 @t75))) % 0.15/0.37 (step-pop @p301 :rule scope :premises (@p176)) % 0.15/0.37 (step @p177 :rule process_scope :premises (@p301) :args (@t90)) % 0.15/0.37 (step @p179 :rule implies_elim :premises (@p177)) % 0.15/0.37 (assume-push @p302 @t77) % 0.15/0.37 (assume-push @p303 @t77) % 0.15/0.37 (step @p182 :rule cong :premises (@p302) :args (@t75)) % 0.15/0.37 (step-pop @p304 :rule scope :premises (@p182)) % 0.15/0.37 (step @p183 :rule process_scope :premises (@p304) :args (@t86)) % 0.15/0.37 (step @p185 :rule modus_ponens :premises (@p302 @p183)) % 0.15/0.37 (step-pop @p305 :rule scope :premises (@p185)) % 0.15/0.37 (step @p186 :rule process_scope :premises (@p305) :args (@t86)) % 0.15/0.37 (step @p188 :rule implies_elim :premises (@p186)) % 0.15/0.37 (assume-push @p306 @t81) % 0.15/0.37 (assume-push @p307 @t81) % 0.15/0.37 (step @p191 :rule cong :premises (@p306) :args (@t79)) % 0.15/0.37 (step-pop @p308 :rule scope :premises (@p191)) % 0.15/0.37 (step @p192 :rule process_scope :premises (@p308) :args (@t88)) % 0.15/0.37 (step @p194 :rule modus_ponens :premises (@p306 @p192)) % 0.15/0.37 (step-pop @p309 :rule scope :premises (@p194)) % 0.15/0.37 (step @p195 :rule process_scope :premises (@p309) :args (@t88)) % 0.15/0.37 (step @p197 :rule implies_elim :premises (@p195)) % 0.15/0.37 (step @p198 :rule cnf_or_pos :args (@t90)) % 0.15/0.37 (step @p199 :rule reordering :premises (@p198) :args ((or @t89 @t87 @t85 (not @t90)))) % 0.15/0.37 (assume-push @p310 @t81) % 0.15/0.37 (assume-push @p311 @t77) % 0.15/0.37 (assume-push @p312 @t85) % 0.15/0.37 (assume-push @p313 @t77) % 0.15/0.37 (assume-push @p314 @t85) % 0.15/0.37 (assume-push @p315 @t81) % 0.15/0.37 (step @p206 :rule symm :premises (@p311)) % 0.15/0.37 (step @p207 :rule cong :premises (@p312) :args (@t80)) % 0.15/0.37 (step @p208 :rule trans :premises (@p310 @p207 @p206)) % 0.15/0.37 (step-pop @p316 :rule scope :premises (@p208)) % 0.15/0.37 (step-pop @p317 :rule scope :premises (@p316)) % 0.15/0.37 (step-pop @p318 :rule scope :premises (@p317)) % 0.15/0.37 (step @p209 :rule process_scope :premises (@p318) :args (@t74)) % 0.15/0.37 (step @p213 :rule and_intro :premises (@p311 @p312 @p310)) % 0.15/0.37 (step @p214 :rule modus_ponens :premises (@p213 @p209)) % 0.15/0.37 (step-pop @p319 :rule scope :premises (@p214)) % 0.15/0.37 (step-pop @p320 :rule scope :premises (@p319)) % 0.15/0.37 (step-pop @p321 :rule scope :premises (@p320)) % 0.15/0.37 (step @p215 :rule process_scope :premises (@p321) :args (@t74)) % 0.15/0.37 (step @p219 :rule implies_elim :premises (@p215)) % 0.15/0.37 (step @p220 :rule cnf_and_neg :args (@t91)) % 0.15/0.37 (step @p221 :rule resolution :premises (@p220 @p219) :args (true @t91)) % 0.15/0.37 (step @p222 :rule reordering :premises (@p221) :args ((or @t82 @t78 @t74 (not @t85)))) % 0.15/0.37 (step @p223 :rule chain_m_resolution :premises (@p222 @p199 @p197 @p188 @p179 @p174 @p173 @p168 @p162 @p153 @p147 @p146 @p144 @p15) :args (@t23 (@list false false false false true false false true true true false false false) (@list @t85 @t88 @t86 @t90 @t74 @t77 @t81 @t83 @t40 @t41 @t43 @t60 @t27))) % 0.15/0.37 (step @p224 :rule cnf_and_pos :args (@t41 0)) % 0.15/0.37 (step @p225 :rule reordering :premises (@p224) :args ((or @t28 @t42))) % 0.15/0.37 (step @p226 :rule chain_m_resolution :premises (@p225 @p223) :args (@t42 @t92 (@list @t23))) % 0.15/0.37 (step @p227 :rule chain_m_resolution :premises (@p38 @p226) :args (@t60 @t93 (@list @t41))) % 0.15/0.37 (step @p228 :rule cnf_and_pos :args (@t60 0)) % 0.15/0.37 (step @p229 :rule reordering :premises (@p228) :args ((or @t36 @t70))) % 0.15/0.37 (step @p230 :rule chain_m_resolution :premises (@p229 @p227) :args (@t36 @t92 (@list @t60))) % 0.15/0.37 (step @p231 :rule refl :args (@t97)) % 0.15/0.37 (step @p232 :rule nary_cong :premises (@p66 @p231) :args ((or @t61 @t97))) % 0.15/0.37 (step @p233 :rule bool-double-not-elim :args (@t97)) % 0.15/0.37 (step @p234 :rule refl :args (@t36)) % 0.15/0.37 (step @p235 :rule cong :premises (@p234 @p233) :args ((=> @t36 @t98))) % 0.15/0.37 (assume-push @p322 @t36) % 0.15/0.37 (step @p237 :rule skolemize :premises (@p322)) % 0.15/0.37 (step-pop @p323 :rule scope :premises (@p237)) % 0.15/0.37 (step @p238 :rule process_scope :premises (@p323) :args (@t98)) % 0.15/0.37 (step @p240 :rule eq_resolve :premises (@p238 @p235)) % 0.15/0.37 (step @p241 :rule implies_elim :premises (@p240)) % 0.15/0.37 (step @p242 :rule eq_resolve :premises (@p241 @p232)) % 0.15/0.37 (step @p243 :rule chain_m_resolution :premises (@p242 @p230) :args (@t97 @t93 (@list @t35))) % 0.15/0.37 (assume-push @p324 @t97) % 0.15/0.37 (assume-push @p325 @t97) % 0.15/0.37 (step @p246 :rule cong :premises (@p324) :args (@t95)) % 0.15/0.37 (step-pop @p326 :rule scope :premises (@p246)) % 0.15/0.37 (step @p247 :rule process_scope :premises (@p326) :args (@t99)) % 0.15/0.37 (step @p249 :rule modus_ponens :premises (@p324 @p247)) % 0.15/0.37 (step-pop @p327 :rule scope :premises (@p249)) % 0.15/0.37 (step @p250 :rule process_scope :premises (@p327) :args (@t99)) % 0.15/0.37 (step @p252 :rule implies_elim :premises (@p250)) % 0.15/0.37 (step @p253 :rule chain_m_resolution :premises (@p252 @p243) :args (@t99 @t92 (@list @t97))) % 0.15/0.37 (assume-push @p328 @t23) % 0.15/0.37 (step @p255 :rule instantiate :premises (@p328) :args ((@list @t95))) % 0.15/0.37 (step-pop @p329 :rule scope :premises (@p255)) % 0.15/0.37 (step @p256 :rule process_scope :premises (@p329) :args ((not @t99))) % 0.15/0.37 (step @p258 :rule implies_elim :premises (@p256)) % 0.15/0.37 (step @p259 false :rule chain_m_resolution :premises (@p258 @p253 @p223) :args (false (@list false false) (@list @t99 @t23))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------