%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN077+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:08:01 AM UTC 2026 % Result : Theorem 15.43s 15.81s % Output : Proof 15.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN077+1 : TPTP v9.2.1. Released v2.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:20:16 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.43/15.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.43/15.81 --- Run --no-e-matching --full-saturate-quant at 6... % 15.43/15.81 % SZS status Theorem % 15.43/15.81 % SZS output start Proof % 15.43/15.81 ( % 15.43/15.81 (declare-sort $$unsorted 0) % 15.43/15.81 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 15.43/15.81 (define @t1 () (@var "Y" $$unsorted)) % 15.43/15.81 (define @t2 () (@var "X" $$unsorted)) % 15.43/15.81 (define @t3 () (@var "Z" $$unsorted)) % 15.43/15.81 (define @t4 () (tptp.big_f @t2 @t3)) % 15.43/15.81 (define @t5 () (= @t4 (= @t2 @t1))) % 15.43/15.81 (define @t6 () (@list @t2)) % 15.43/15.81 (define @t7 () (forall @t6 @t5)) % 15.43/15.81 (define @t8 () (@list @t3)) % 15.43/15.81 (define @t9 () (exists @t8 @t7)) % 15.43/15.81 (define @t10 () (@list @t1)) % 15.43/15.81 (define @t11 () (forall @t10 @t9)) % 15.43/15.81 (define @t12 () (tptp.big_f @t3 @t1)) % 15.43/15.81 (define @t13 () (@var "U" $$unsorted)) % 15.43/15.81 (define @t14 () (tptp.big_f @t3 @t13)) % 15.43/15.81 (define @t15 () (and @t14 @t12)) % 15.43/15.81 (define @t16 () (exists @t8 @t15)) % 15.43/15.81 (define @t17 () (not @t16)) % 15.43/15.81 (define @t18 () (tptp.big_f @t1 @t13)) % 15.43/15.81 (define @t19 () (and @t18 @t17)) % 15.43/15.81 (define @t20 () (exists @t10 @t19)) % 15.43/15.81 (define @t21 () (tptp.big_f @t2 @t13)) % 15.43/15.81 (define @t22 () (=> @t21 @t20)) % 15.43/15.81 (define @t23 () (@list @t13)) % 15.43/15.81 (define @t24 () (forall @t23 @t22)) % 15.43/15.81 (define @t25 () (@var "W" $$unsorted)) % 15.43/15.81 (define @t26 () (tptp.big_f @t2 @t25)) % 15.43/15.81 (define @t27 () (= @t26 @t24)) % 15.43/15.81 (define @t28 () (forall @t6 @t27)) % 15.43/15.81 (define @t29 () (@list @t25)) % 15.43/15.81 (define @t30 () (exists @t29 @t28)) % 15.43/15.81 (define @t31 () (not @t12)) % 15.43/15.81 (define @t32 () (forall @t8 (or (not @t14) @t31))) % 15.43/15.81 (define @t33 () (not (forall @t10 (or (not @t18) (not @t32))))) % 15.43/15.81 (define @t34 () (forall @t23 (or (not @t21) @t33))) % 15.43/15.81 (define @t35 () (forall @t6 (= @t26 @t34))) % 15.43/15.81 (define @t36 () (forall @t29 (not @t35))) % 15.43/15.81 (define @t37 () (not @t36)) % 15.43/15.81 (define @t38 () (and @t18 @t32)) % 15.43/15.81 (define @t39 () (forall @t10 (not @t38))) % 15.43/15.81 (define @t40 () (not @t39)) % 15.43/15.81 (define @t41 () (forall @t8 (not @t15))) % 15.43/15.81 (define @t42 () (not @t41)) % 15.43/15.81 (define @t43 () (@quantifiers_skolemize @t36 0)) % 15.43/15.81 (define @t44 () (tptp.big_f @t2 @t43)) % 15.43/15.81 (define @t45 () (forall @t6 (= @t34 @t44))) % 15.43/15.81 (define @t46 () (forall @t6 (= @t44 @t34))) % 15.43/15.81 (define @t47 () (not (not @t46))) % 15.43/15.81 (define @t48 () (@list true)) % 15.43/15.81 (define @t49 () (forall @t23 (or (not (tptp.big_f @t43 @t13)) @t33))) % 15.43/15.81 (define @t50 () (@quantifiers_skolemize @t49 0)) % 15.43/15.81 (define @t51 () (not (tptp.big_f @t3 @t50))) % 15.43/15.81 (define @t52 () (forall @t8 (or @t51 (not (tptp.big_f @t3 @t43))))) % 15.43/15.81 (define @t53 () (@quantifiers_skolemize @t52 0)) % 15.43/15.81 (define @t54 () (forall @t23 (or (not (tptp.big_f @t53 @t13)) @t33))) % 15.43/15.81 (define @t55 () (tptp.big_f @t53 @t43)) % 15.43/15.81 (define @t56 () (= @t54 @t55)) % 15.43/15.81 (define @t57 () (= @t55 @t54)) % 15.43/15.81 (define @t58 () (@list false)) % 15.43/15.81 (define @t59 () (@list @t43)) % 15.43/15.81 (define @t60 () (tptp.big_f @t43 @t43)) % 15.43/15.81 (define @t61 () (= @t49 @t60)) % 15.43/15.81 (define @t62 () (not @t49)) % 15.43/15.81 (define @t63 () (= @t2 @t43)) % 15.43/15.81 (define @t64 () (forall @t8 (not (forall @t6 (= @t4 @t63))))) % 15.43/15.81 (define @t65 () (@quantifiers_skolemize @t64 0)) % 15.43/15.81 (define @t66 () (not (tptp.big_f @t3 @t65))) % 15.43/15.81 (define @t67 () (forall @t10 (or (not (tptp.big_f @t1 @t65)) (not (forall @t8 (or @t66 @t31)))))) % 15.43/15.81 (define @t68 () (not @t67)) % 15.43/15.81 (define @t69 () (tptp.big_f @t43 @t65)) % 15.43/15.81 (define @t70 () (not @t69)) % 15.43/15.81 (define @t71 () (or @t70 @t68)) % 15.43/15.81 (define @t72 () (forall @t6 (= @t4 (= @t1 @t2)))) % 15.43/15.81 (define @t73 () (not (forall @t8 (not @t72)))) % 15.43/15.81 (define @t74 () (= @t4 (= @t43 @t2))) % 15.43/15.81 (define @t75 () (forall @t6 @t74)) % 15.43/15.81 (define @t76 () (not @t75)) % 15.43/15.81 (define @t77 () (forall @t8 @t76)) % 15.43/15.81 (define @t78 () (not @t77)) % 15.43/15.81 (define @t79 () (forall @t10 @t73)) % 15.43/15.81 (define @t80 () (not @t64)) % 15.43/15.81 (define @t81 () (tptp.big_f @t2 @t65)) % 15.43/15.81 (define @t82 () (forall @t6 (= @t63 @t81))) % 15.43/15.81 (define @t83 () (forall @t6 (= @t81 @t63))) % 15.43/15.81 (define @t84 () (not (not @t83))) % 15.43/15.81 (define @t85 () (= (= @t43 @t43) @t69)) % 15.43/15.81 (define @t86 () (@list @t82)) % 15.43/15.81 (define @t87 () (@quantifiers_skolemize @t67 0)) % 15.43/15.81 (define @t88 () (forall @t8 (or @t66 (not (tptp.big_f @t3 @t87))))) % 15.43/15.81 (define @t89 () (not @t88)) % 15.43/15.81 (define @t90 () (tptp.big_f @t87 @t65)) % 15.43/15.81 (define @t91 () (not @t90)) % 15.43/15.81 (define @t92 () (or @t91 @t89)) % 15.43/15.81 (define @t93 () (not @t92)) % 15.43/15.81 (define @t94 () (= @t87 @t43)) % 15.43/15.81 (define @t95 () (= @t94 @t90)) % 15.43/15.81 (define @t96 () (= @t43 @t87)) % 15.43/15.81 (define @t97 () (= @t90 @t96)) % 15.43/15.81 (define @t98 () (tptp.big_f @t43 @t87)) % 15.43/15.81 (define @t99 () (not @t98)) % 15.43/15.81 (define @t100 () (or @t70 @t99)) % 15.43/15.81 (define @t101 () (not @t96)) % 15.43/15.81 (define @t102 () (not @t60)) % 15.43/15.81 (define @t103 () (and @t99 @t96 @t60)) % 15.43/15.81 (define @t104 () (forall @t10 (or (not (tptp.big_f @t1 @t50)) (not (forall @t8 (or @t51 @t31)))))) % 15.43/15.81 (define @t105 () (not @t104)) % 15.43/15.81 (define @t106 () (tptp.big_f @t43 @t50)) % 15.43/15.81 (define @t107 () (not @t106)) % 15.43/15.81 (define @t108 () (or @t107 @t105)) % 15.43/15.81 (define @t109 () (not @t108)) % 15.43/15.81 (define @t110 () (@list @t108)) % 15.43/15.81 (define @t111 () (not @t52)) % 15.43/15.81 (define @t112 () (or @t107 @t111)) % 15.43/15.81 (define @t113 () (@list false false)) % 15.43/15.81 (define @t114 () (not @t55)) % 15.43/15.81 (define @t115 () (tptp.big_f @t53 @t50)) % 15.43/15.81 (define @t116 () (not @t115)) % 15.43/15.81 (define @t117 () (or @t116 @t114)) % 15.43/15.81 (define @t118 () (not @t117)) % 15.43/15.81 (define @t119 () (@list @t117)) % 15.43/15.81 (define @t120 () (or @t116 @t105)) % 15.43/15.81 (define @t121 () (not @t120)) % 15.43/15.81 (assume @p1 @t11) % 15.43/15.81 (assume @p2 (not (not @t30))) % 15.43/15.81 (assume @p3 true) % 15.43/15.81 (step @p4 :rule exists-elim :args ((= (exists @t29 @t35) @t37))) % 15.43/15.81 (step @p5 :rule bool-impl-elim :args (@t21 @t33)) % 15.43/15.81 (step @p6 :rule cong :premises (@p5) :args ((forall @t23 (=> @t21 @t33)))) % 15.43/15.81 (step @p7 :rule bool-and-de-morgan :args (@t18 @t32 true)) % 15.43/15.81 (step @p8 :rule cong :premises (@p7) :args (@t39)) % 15.43/15.81 (step @p9 :rule cong :premises (@p8) :args (@t40)) % 15.43/15.81 (step @p10 :rule exists-elim :args ((= (exists @t10 @t38) @t40))) % 15.43/15.81 (step @p11 :rule trans :premises (@p10 @p9)) % 15.43/15.81 (step @p12 :rule bool-double-not-elim :args (@t32)) % 15.43/15.81 (step @p13 :rule bool-and-de-morgan :args (@t14 @t12 true)) % 15.43/15.81 (step @p14 :rule cong :premises (@p13) :args (@t41)) % 15.43/15.81 (step @p15 :rule cong :premises (@p14) :args (@t42)) % 15.43/15.81 (step @p16 :rule exists-elim :args ((= @t16 @t42))) % 15.43/15.81 (step @p17 :rule trans :premises (@p16 @p15)) % 15.43/15.81 (step @p18 :rule cong :premises (@p17) :args (@t17)) % 15.43/15.81 (step @p19 :rule trans :premises (@p18 @p12)) % 15.43/15.81 (step @p20 :rule refl :args (@t18)) % 15.43/15.81 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t19)) % 15.43/15.81 (step @p22 :rule cong :premises (@p21) :args (@t20)) % 15.43/15.81 (step @p23 :rule trans :premises (@p22 @p11)) % 15.43/15.81 (step @p24 :rule refl :args (@t21)) % 15.43/15.81 (step @p25 :rule cong :premises (@p24 @p23) :args (@t22)) % 15.43/15.81 (step @p26 :rule cong :premises (@p25) :args (@t24)) % 15.43/15.81 (step @p27 :rule trans :premises (@p26 @p6)) % 15.43/15.81 (step @p28 :rule refl :args (@t26)) % 15.43/15.81 (step @p29 :rule cong :premises (@p28 @p27) :args (@t27)) % 15.43/15.81 (step @p30 :rule cong :premises (@p29) :args (@t28)) % 15.43/15.81 (step @p31 :rule cong :premises (@p30) :args (@t30)) % 15.43/15.81 (step @p32 :rule trans :premises (@p31 @p4)) % 15.43/15.81 (step @p33 :rule bool-double-not-elim :args (@t30)) % 15.43/15.81 (step @p34 :rule trans :premises (@p33 @p32)) % 15.43/15.81 (step @p35 :rule eq_resolve :premises (@p2 @p34)) % 15.43/15.81 (step @p36 :rule refl :args (@t45)) % 15.43/15.81 (step @p37 :rule bool-double-not-elim :args (@t36)) % 15.43/15.81 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t37) @t45))) % 15.43/15.81 (step @p39 :rule eq-symm :args (@t44 @t34)) % 15.43/15.81 (step @p40 :rule cong :premises (@p39) :args (@t46)) % 15.43/15.81 (step @p41 :rule bool-double-not-elim :args (@t46)) % 15.43/15.81 (step @p42 :rule trans :premises (@p41 @p40)) % 15.43/15.81 (step @p43 :rule refl :args (@t37)) % 15.43/15.81 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t37 @t47))) % 15.43/15.81 (assume-push @p269 @t37) % 15.43/15.81 (step @p46 :rule skolemize :premises (@p35)) % 15.43/15.81 (step-pop @p270 :rule scope :premises (@p46)) % 15.43/15.81 (step @p47 :rule process_scope :premises (@p270) :args (@t47)) % 15.43/15.81 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 15.43/15.81 (step @p50 :rule implies_elim :premises (@p49)) % 15.43/15.81 (step @p51 :rule eq_resolve :premises (@p50 @p38)) % 15.43/15.81 (step @p52 :rule chain_m_resolution :premises (@p51 @p35) :args (@t45 @t48 (@list @t36))) % 15.43/15.81 (step @p53 :rule eq-symm :args (@t54 @t55)) % 15.43/15.81 (step @p54 :rule cong :premises (@p36 @p53) :args ((=> @t45 @t56))) % 15.43/15.81 (assume-push @p271 @t45) % 15.43/15.81 (step @p56 :rule instantiate :premises (@p52) :args ((@list @t53))) % 15.43/15.81 (step-pop @p272 :rule scope :premises (@p56)) % 15.43/15.81 (step @p57 :rule process_scope :premises (@p272) :args (@t56)) % 15.43/15.81 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 15.43/15.81 (step @p60 :rule implies_elim :premises (@p59)) % 15.43/15.81 (step @p61 :rule chain_m_resolution :premises (@p60 @p52) :args (@t57 @t58 (@list @t45))) % 15.43/15.81 (step @p62 :rule instantiate :premises (@p52) :args (@t59)) % 15.43/15.81 (step @p63 :rule cnf_equiv_pos1 :args (@t61)) % 15.43/15.81 (step @p64 :rule reordering :premises (@p63) :args ((or @t60 @t62 (not @t61)))) % 15.43/15.81 (assume-push @p273 @t49) % 15.43/15.81 (step @p66 :rule instantiate :premises (@p273) :args ((@list @t65))) % 15.43/15.81 (step-pop @p274 :rule scope :premises (@p66)) % 15.43/15.81 (step @p67 :rule process_scope :premises (@p274) :args (@t71)) % 15.43/15.81 (step @p69 :rule implies_elim :premises (@p67)) % 15.43/15.81 (step @p70 :rule exists-elim :args ((= (exists @t8 @t72) @t73))) % 15.43/15.81 (step @p71 :rule eq-symm :args (@t2 @t1)) % 15.43/15.81 (step @p72 :rule refl :args (@t4)) % 15.43/15.81 (step @p73 :rule cong :premises (@p72 @p71) :args (@t5)) % 15.43/15.81 (step @p74 :rule cong :premises (@p73) :args (@t7)) % 15.43/15.81 (step @p75 :rule cong :premises (@p74) :args (@t9)) % 15.43/15.81 (step @p76 :rule trans :premises (@p75 @p70)) % 15.43/15.81 (step @p77 :rule cong :premises (@p76) :args (@t11)) % 15.43/15.81 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 15.43/15.81 (step @p79 :rule eq-symm :args (@t43 @t2)) % 15.43/15.81 (step @p80 :rule cong :premises (@p72 @p79) :args (@t74)) % 15.43/15.81 (step @p81 :rule cong :premises (@p80) :args (@t75)) % 15.43/15.81 (step @p82 :rule cong :premises (@p81) :args (@t76)) % 15.43/15.81 (step @p83 :rule cong :premises (@p82) :args (@t77)) % 15.43/15.81 (step @p84 :rule cong :premises (@p83) :args (@t78)) % 15.43/15.81 (step @p85 :rule refl :args (@t79)) % 15.43/15.81 (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t79 @t78))) % 15.43/15.81 (assume-push @p275 @t79) % 15.43/15.81 (step @p88 :rule instantiate :premises (@p78) :args (@t59)) % 15.43/15.81 (step-pop @p276 :rule scope :premises (@p88)) % 15.43/15.81 (step @p89 :rule process_scope :premises (@p276) :args (@t78)) % 15.43/15.81 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 15.43/15.81 (step @p92 :rule implies_elim :premises (@p91)) % 15.43/15.81 (step @p93 :rule chain_m_resolution :premises (@p92 @p78) :args (@t80 @t58 (@list @t79))) % 15.43/15.81 (step @p94 :rule refl :args (@t82)) % 15.43/15.81 (step @p95 :rule bool-double-not-elim :args (@t64)) % 15.43/15.81 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or (not @t80) @t82))) % 15.43/15.81 (step @p97 :rule eq-symm :args (@t81 @t63)) % 15.43/15.81 (step @p98 :rule cong :premises (@p97) :args (@t83)) % 15.43/15.81 (step @p99 :rule bool-double-not-elim :args (@t83)) % 15.43/15.81 (step @p100 :rule trans :premises (@p99 @p98)) % 15.43/15.81 (step @p101 :rule refl :args (@t80)) % 15.43/15.81 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t80 @t84))) % 15.43/15.81 (assume-push @p277 @t80) % 15.43/15.81 (step @p104 :rule skolemize :premises (@p93)) % 15.43/15.81 (step-pop @p278 :rule scope :premises (@p104)) % 15.43/15.81 (step @p105 :rule process_scope :premises (@p278) :args (@t84)) % 15.43/15.81 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 15.43/15.81 (step @p108 :rule implies_elim :premises (@p107)) % 15.43/15.81 (step @p109 :rule eq_resolve :premises (@p108 @p96)) % 15.43/15.81 (step @p110 :rule chain_m_resolution :premises (@p109 @p93) :args (@t82 @t48 (@list @t64))) % 15.43/15.81 (step @p111 :rule bool-eq-true :args (@t69)) % 15.43/15.81 (step @p112 :rule eq-symm :args (true @t69)) % 15.43/15.81 (step @p113 :rule trans :premises (@p112 @p111)) % 15.43/15.81 (step @p114 :rule refl :args (@t69)) % 15.43/15.81 (step @p115 :rule eq-refl :args (@t43)) % 15.43/15.81 (step @p116 :rule cong :premises (@p115 @p114) :args (@t85)) % 15.43/15.81 (step @p117 :rule trans :premises (@p116 @p113)) % 15.43/15.81 (step @p118 :rule cong :premises (@p94 @p117) :args ((=> @t82 @t85))) % 15.43/15.81 (assume-push @p279 @t82) % 15.43/15.81 (step @p120 :rule instantiate :premises (@p110) :args (@t59)) % 15.43/15.81 (step-pop @p280 :rule scope :premises (@p120)) % 15.43/15.81 (step @p121 :rule process_scope :premises (@p280) :args (@t85)) % 15.43/15.81 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 15.43/15.81 (step @p124 :rule implies_elim :premises (@p123)) % 15.43/15.81 (step @p125 :rule chain_m_resolution :premises (@p124 @p110) :args (@t69 @t58 @t86)) % 15.43/15.81 (step @p126 :rule cnf_or_pos :args (@t71)) % 15.43/15.81 (step @p127 :rule reordering :premises (@p126) :args ((or @t70 @t68 (not @t71)))) % 15.43/15.81 (step @p128 :rule refl :args (@t93)) % 15.43/15.81 (step @p129 :rule bool-double-not-elim :args (@t67)) % 15.43/15.81 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t68) @t93))) % 15.43/15.81 (assume-push @p281 @t68) % 15.43/15.81 (step @p132 :rule skolemize :premises (@p281)) % 15.43/15.81 (step-pop @p282 :rule scope :premises (@p132)) % 15.43/15.81 (step @p133 :rule process_scope :premises (@p282) :args (@t93)) % 15.43/15.81 (step @p135 :rule implies_elim :premises (@p133)) % 15.43/15.81 (step @p136 :rule eq_resolve :premises (@p135 @p130)) % 15.43/15.81 (step @p137 :rule bool-double-not-elim :args (@t90)) % 15.43/15.81 (step @p138 :rule refl :args (@t92)) % 15.43/15.81 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t92 (not @t91)))) % 15.43/15.81 (step @p140 :rule cnf_or_neg :args (@t92 0)) % 15.43/15.81 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 15.43/15.81 (step @p142 :rule reordering :premises (@p141) :args ((or @t90 @t92))) % 15.43/15.81 (step @p143 :rule bool-double-not-elim :args (@t88)) % 15.43/15.81 (step @p144 :rule nary_cong :premises (@p138 @p143) :args ((or @t92 (not @t89)))) % 15.43/15.81 (step @p145 :rule cnf_or_neg :args (@t92 1)) % 15.43/15.81 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 15.43/15.81 (step @p147 :rule reordering :premises (@p146) :args ((or @t88 @t92))) % 15.43/15.81 (step @p148 :rule eq-symm :args (@t87 @t43)) % 15.43/15.81 (step @p149 :rule refl :args (@t90)) % 15.43/15.81 (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t90 @t94))) % 15.43/15.81 (step @p151 :rule eq-symm :args (@t94 @t90)) % 15.43/15.81 (step @p152 :rule trans :premises (@p151 @p150)) % 15.43/15.81 (step @p153 :rule cong :premises (@p94 @p152) :args ((=> @t82 @t95))) % 15.43/15.81 (assume-push @p283 @t82) % 15.43/15.81 (step @p155 :rule instantiate :premises (@p110) :args ((@list @t87))) % 15.43/15.81 (step-pop @p284 :rule scope :premises (@p155)) % 15.43/15.81 (step @p156 :rule process_scope :premises (@p284) :args (@t95)) % 15.43/15.81 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 15.43/15.81 (step @p159 :rule implies_elim :premises (@p158)) % 15.43/15.81 (step @p160 :rule chain_m_resolution :premises (@p159 @p110) :args (@t97 @t58 @t86)) % 15.43/15.81 (step @p161 :rule cnf_equiv_pos1 :args (@t97)) % 15.43/15.81 (step @p162 :rule reordering :premises (@p161) :args ((or @t91 @t96 (not @t97)))) % 15.43/15.81 (assume-push @p285 @t88) % 15.43/15.81 (step @p164 :rule instantiate :premises (@p285) :args (@t59)) % 15.43/15.81 (step-pop @p286 :rule scope :premises (@p164)) % 15.43/15.81 (step @p165 :rule process_scope :premises (@p286) :args (@t100)) % 15.43/15.81 (step @p167 :rule implies_elim :premises (@p165)) % 15.43/15.81 (step @p168 :rule cnf_or_pos :args (@t100)) % 15.43/15.81 (step @p169 :rule reordering :premises (@p168) :args ((or @t70 @t99 (not @t100)))) % 15.43/15.81 (step @p170 :rule bool-double-not-elim :args (@t98)) % 15.43/15.81 (step @p171 :rule refl :args (@t101)) % 15.43/15.81 (step @p172 :rule refl :args (@t102)) % 15.43/15.81 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170) :args ((or @t102 @t101 (not @t99)))) % 15.43/15.81 (assume-push @p287 @t99) % 15.43/15.81 (assume-push @p288 @t96) % 15.43/15.81 (assume-push @p289 @t60) % 15.43/15.81 (step @p177 :rule evaluate :args ((= true false))) % 15.43/15.81 (step @p178 :rule false_intro :premises (@p287)) % 15.43/15.81 (step @p179 :rule refl :args (@t43)) % 15.43/15.81 (step @p180 :rule cong :premises (@p179 @p288) :args (@t60)) % 15.43/15.81 (step @p181 :rule true_intro :premises (@p289)) % 15.43/15.81 (step @p182 :rule symm :premises (@p181)) % 15.43/15.81 (step @p183 :rule trans :premises (@p182 @p180 @p178)) % 15.43/15.81 (step @p184 false :rule eq_resolve :premises (@p183 @p177)) % 15.43/15.81 (step-pop @p290 :rule scope :premises (@p184)) % 15.43/15.81 (step-pop @p291 :rule scope :premises (@p290)) % 15.43/15.81 (step-pop @p292 :rule scope :premises (@p291)) % 15.43/15.81 (step @p185 :rule process_scope :premises (@p292) :args (false)) % 15.43/15.81 (assume-push @p293 @t60) % 15.43/15.81 (assume-push @p294 @t96) % 15.43/15.81 (assume-push @p295 @t99) % 15.43/15.81 (step @p192 :rule and_intro :premises (@p295 @p294 @p293)) % 15.43/15.81 (step-pop @p296 :rule scope :premises (@p192)) % 15.43/15.81 (step-pop @p297 :rule scope :premises (@p296)) % 15.43/15.81 (step-pop @p298 :rule scope :premises (@p297)) % 15.43/15.81 (step @p193 :rule process_scope :premises (@p298) :args (@t103)) % 15.43/15.81 (step @p197 :rule implies_elim :premises (@p193)) % 15.43/15.81 (step @p198 :rule resolution :premises (@p197 @p185) :args (true @t103)) % 15.43/15.81 (step @p199 :rule not_and :premises (@p198)) % 15.43/15.81 (step @p200 :rule eq_resolve :premises (@p199 @p173)) % 15.43/15.81 (step @p201 :rule chain_m_resolution :premises (@p200 @p169 @p125 @p167 @p162 @p160 @p147 @p142 @p136 @p127 @p125 @p69 @p64 @p62) :args (@t62 (@list true false false false false false false true true false false false false) (@list @t98 @t69 @t100 @t96 @t97 @t88 @t90 @t92 @t67 @t69 @t71 @t60 @t61))) % 15.43/15.81 (step @p202 :rule refl :args (@t109)) % 15.43/15.81 (step @p203 :rule bool-double-not-elim :args (@t49)) % 15.43/15.81 (step @p204 :rule nary_cong :premises (@p203 @p202) :args ((or (not @t62) @t109))) % 15.43/15.81 (assume-push @p299 @t62) % 15.43/15.81 (step @p206 :rule skolemize :premises (@p299)) % 15.43/15.81 (step-pop @p300 :rule scope :premises (@p206)) % 15.43/15.81 (step @p207 :rule process_scope :premises (@p300) :args (@t109)) % 15.43/15.81 (step @p209 :rule implies_elim :premises (@p207)) % 15.43/15.81 (step @p210 :rule eq_resolve :premises (@p209 @p204)) % 15.43/15.81 (step @p211 :rule chain_m_resolution :premises (@p210 @p201) :args (@t109 @t48 (@list @t49))) % 15.43/15.81 (step @p212 :rule bool-double-not-elim :args (@t104)) % 15.43/15.81 (step @p213 :rule refl :args (@t108)) % 15.43/15.81 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or @t108 (not @t105)))) % 15.43/15.81 (step @p215 :rule cnf_or_neg :args (@t108 1)) % 15.43/15.81 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 15.43/15.82 (step @p217 :rule reordering :premises (@p216) :args ((or @t104 @t108))) % 15.43/15.82 (step @p218 :rule chain_m_resolution :premises (@p217 @p211) :args (@t104 @t48 @t110)) % 15.43/15.82 (assume-push @p301 @t104) % 15.43/15.82 (step @p220 :rule instantiate :premises (@p301) :args (@t59)) % 15.43/15.82 (step-pop @p302 :rule scope :premises (@p220)) % 15.43/15.82 (step @p221 :rule process_scope :premises (@p302) :args (@t112)) % 15.43/15.82 (step @p223 :rule implies_elim :premises (@p221)) % 15.43/15.82 (step @p224 :rule chain_m_resolution :premises (@p223 @p218) :args (@t112 @t58 (@list @t104))) % 15.43/15.82 (step @p225 :rule bool-double-not-elim :args (@t106)) % 15.43/15.82 (step @p226 :rule nary_cong :premises (@p213 @p225) :args ((or @t108 (not @t107)))) % 15.43/15.82 (step @p227 :rule cnf_or_neg :args (@t108 0)) % 15.43/15.82 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 15.43/15.82 (step @p229 :rule reordering :premises (@p228) :args ((or @t106 @t108))) % 15.43/15.82 (step @p230 :rule chain_m_resolution :premises (@p229 @p211) :args (@t106 @t48 @t110)) % 15.43/15.82 (step @p231 :rule cnf_or_pos :args (@t112)) % 15.43/15.82 (step @p232 :rule reordering :premises (@p231) :args ((or @t107 @t111 (not @t112)))) % 15.43/15.82 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p224) :args (@t111 @t113 (@list @t106 @t112))) % 15.43/15.82 (step @p234 :rule refl :args (@t118)) % 15.43/15.82 (step @p235 :rule bool-double-not-elim :args (@t52)) % 15.43/15.82 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or (not @t111) @t118))) % 15.43/15.82 (assume-push @p303 @t111) % 15.43/15.82 (step @p238 :rule skolemize :premises (@p303)) % 15.43/15.82 (step-pop @p304 :rule scope :premises (@p238)) % 15.43/15.82 (step @p239 :rule process_scope :premises (@p304) :args (@t118)) % 15.43/15.82 (step @p241 :rule implies_elim :premises (@p239)) % 15.43/15.82 (step @p242 :rule eq_resolve :premises (@p241 @p236)) % 15.43/15.82 (step @p243 :rule chain_m_resolution :premises (@p242 @p233) :args (@t118 @t48 (@list @t52))) % 15.43/15.82 (step @p244 :rule bool-double-not-elim :args (@t55)) % 15.43/15.82 (step @p245 :rule refl :args (@t117)) % 15.43/15.82 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or @t117 (not @t114)))) % 15.43/15.82 (step @p247 :rule cnf_or_neg :args (@t117 1)) % 15.43/15.82 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 15.43/15.82 (step @p249 :rule reordering :premises (@p248) :args ((or @t55 @t117))) % 15.43/15.82 (step @p250 :rule chain_m_resolution :premises (@p249 @p243) :args (@t55 @t48 @t119)) % 15.43/15.82 (step @p251 :rule cnf_equiv_pos1 :args (@t57)) % 15.43/15.82 (step @p252 :rule reordering :premises (@p251) :args ((or @t114 @t54 (not @t57)))) % 15.43/15.82 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p61) :args (@t54 @t113 (@list @t55 @t57))) % 15.43/15.82 (step @p254 :rule bool-double-not-elim :args (@t115)) % 15.43/15.82 (step @p255 :rule nary_cong :premises (@p245 @p254) :args ((or @t117 (not @t116)))) % 15.43/15.82 (step @p256 :rule cnf_or_neg :args (@t117 0)) % 15.43/15.82 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 15.43/15.82 (step @p258 :rule reordering :premises (@p257) :args ((or @t115 @t117))) % 15.43/15.82 (step @p259 :rule chain_m_resolution :premises (@p258 @p243) :args (@t115 @t48 @t119)) % 15.43/15.82 (step @p260 :rule cnf_or_pos :args (@t120)) % 15.43/15.82 (step @p261 :rule reordering :premises (@p260) :args ((or @t105 @t116 @t121))) % 15.43/15.82 (step @p262 :rule chain_m_resolution :premises (@p261 @p218 @p259) :args (@t121 @t113 (@list @t104 @t115))) % 15.43/15.82 (assume-push @p305 @t54) % 15.43/15.82 (step @p264 :rule instantiate :premises (@p305) :args ((@list @t50))) % 15.43/15.82 (step-pop @p306 :rule scope :premises (@p264)) % 15.43/15.82 (step @p265 :rule process_scope :premises (@p306) :args (@t120)) % 15.43/15.82 (step @p267 :rule implies_elim :premises (@p265)) % 15.43/15.82 (step @p268 false :rule chain_m_resolution :premises (@p267 @p262 @p253) :args (false (@list true false) (@list @t120 @t54))) % 15.43/15.82 ) % 15.43/15.82 % SZS output end Proof % 15.43/15.82 % cvc5 exiting %------------------------------------------------------------------------------