%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET916+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:48:58 AM UTC 2026 % Result : Theorem 33.52s 33.78s % Output : Proof 33.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET916+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % 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 16:17:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.52/33.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.52/33.78 --- Run --no-e-matching --full-saturate-quant at 6... % 33.52/33.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.52/33.78 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.52/33.78 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.52/33.78 % SZS status Theorem % 33.52/33.78 % SZS output start Proof % 33.52/33.78 ( % 33.52/33.78 (declare-sort $$unsorted 0) % 33.52/33.78 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 33.52/33.78 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.52/33.78 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.52/33.78 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.52/33.78 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.52/33.78 (define @t1 () (@var "A" $$unsorted)) % 33.52/33.78 (define @t2 () (@var "B" $$unsorted)) % 33.52/33.78 (define @t3 () (tptp.in @t1 @t2)) % 33.52/33.78 (define @t4 () (@list @t1 @t2)) % 33.52/33.78 (define @t5 () (tptp.unordered_pair @t1 @t2)) % 33.52/33.78 (define @t6 () (tptp.set_intersection2 @t1 @t2)) % 33.52/33.78 (define @t7 () (@var "D" $$unsorted)) % 33.52/33.78 (define @t8 () (or (= @t7 @t1) (= @t7 @t2))) % 33.52/33.78 (define @t9 () (@var "C" $$unsorted)) % 33.52/33.78 (define @t10 () (tptp.in @t7 @t9)) % 33.52/33.78 (define @t11 () (= @t10 @t8)) % 33.52/33.78 (define @t12 () (@list @t7)) % 33.52/33.78 (define @t13 () (forall @t12 @t11)) % 33.52/33.78 (define @t14 () (= (= @t9 @t5) @t13)) % 33.52/33.78 (define @t15 () (@list @t1 @t2 @t9)) % 33.52/33.78 (define @t16 () (forall @t15 @t14)) % 33.52/33.78 (define @t17 () (forall @t12 (= @t10 (and (tptp.in @t7 @t1) (tptp.in @t7 @t2))))) % 33.52/33.78 (define @t18 () (= (= @t9 @t6) @t17)) % 33.52/33.78 (define @t19 () (forall @t15 @t18)) % 33.52/33.78 (define @t20 () (tptp.empty @t1)) % 33.52/33.78 (define @t21 () (@list @t1)) % 33.52/33.78 (define @t22 () (tptp.disjoint @t1 @t2)) % 33.52/33.78 (define @t23 () (tptp.in @t9 @t6)) % 33.52/33.78 (define @t24 () (@list @t9)) % 33.52/33.78 (define @t25 () (exists @t24 @t23)) % 33.52/33.78 (define @t26 () (and @t25 @t22)) % 33.52/33.78 (define @t27 () (not @t26)) % 33.52/33.78 (define @t28 () (forall @t24 (not @t23))) % 33.52/33.78 (define @t29 () (not @t22)) % 33.52/33.78 (define @t30 () (not (and @t29 @t28))) % 33.52/33.78 (define @t31 () (and @t30 @t27)) % 33.52/33.78 (define @t32 () (forall @t4 @t31)) % 33.52/33.78 (define @t33 () (tptp.disjoint (tptp.unordered_pair @t1 @t9) @t2)) % 33.52/33.78 (define @t34 () (not @t33)) % 33.52/33.78 (define @t35 () (tptp.in @t9 @t2)) % 33.52/33.78 (define @t36 () (not @t35)) % 33.52/33.78 (define @t37 () (not @t3)) % 33.52/33.78 (define @t38 () (forall @t15 (not (and @t37 @t36 @t34)))) % 33.52/33.78 (define @t39 () (not @t38)) % 33.52/33.78 (define @t40 () (@var "BOUND_VARIABLE_7543" $$unsorted)) % 33.52/33.78 (define @t41 () (@var "BOUND_VARIABLE_7541" $$unsorted)) % 33.52/33.78 (define @t42 () (not (tptp.disjoint @t41 @t40))) % 33.52/33.78 (define @t43 () (tptp.set_intersection2 @t41 @t40)) % 33.52/33.78 (define @t44 () (@var "BOUND_VARIABLE_7555" $$unsorted)) % 33.52/33.78 (define @t45 () (not (tptp.in @t44 @t43))) % 33.52/33.78 (define @t46 () (or @t45 @t42)) % 33.52/33.78 (define @t47 () (@list @t44)) % 33.52/33.78 (define @t48 () (forall @t47 @t46)) % 33.52/33.78 (define @t49 () (@list @t41 @t40)) % 33.52/33.78 (define @t50 () (forall @t47 @t45)) % 33.52/33.78 (define @t51 () (or @t50 @t42)) % 33.52/33.78 (define @t52 () (forall @t49 (or (forall @t24 (not (tptp.in @t9 @t43))) @t42))) % 33.52/33.78 (define @t53 () (@var "BOUND_VARIABLE_7530" $$unsorted)) % 33.52/33.78 (define @t54 () (@var "BOUND_VARIABLE_7528" $$unsorted)) % 33.52/33.78 (define @t55 () (forall (@list @t54 @t53) (or (tptp.disjoint @t54 @t53) (not (forall @t24 (not (tptp.in @t9 (tptp.set_intersection2 @t54 @t53)))))))) % 33.52/33.78 (define @t56 () (or @t28 @t29)) % 33.52/33.78 (define @t57 () (forall @t4 @t56)) % 33.52/33.78 (define @t58 () (@list @t1 @t2)) % 33.52/33.78 (define @t59 () (not @t28)) % 33.52/33.78 (define @t60 () (or @t22 @t59)) % 33.52/33.78 (define @t61 () (forall @t4 @t60)) % 33.52/33.78 (define @t62 () (and @t61 @t57)) % 33.52/33.78 (define @t63 () (and @t30 (not (and @t59 @t22)))) % 33.52/33.78 (define @t64 () (forall @t15 (or @t3 @t35 @t33))) % 33.52/33.78 (define @t65 () (@quantifiers_skolemize @t64 1)) % 33.52/33.78 (define @t66 () (@quantifiers_skolemize @t64 2)) % 33.52/33.78 (define @t67 () (@quantifiers_skolemize @t64 0)) % 33.52/33.78 (define @t68 () (tptp.unordered_pair @t67 @t66)) % 33.52/33.78 (define @t69 () (not @t34)) % 33.52/33.78 (define @t70 () (not @t36)) % 33.52/33.78 (define @t71 () (not @t37)) % 33.52/33.78 (define @t72 () (or @t71 @t70 @t69)) % 33.52/33.78 (define @t73 () (tptp.disjoint @t68 @t65)) % 33.52/33.78 (define @t74 () (tptp.in @t66 @t65)) % 33.52/33.78 (define @t75 () (tptp.in @t67 @t65)) % 33.52/33.78 (define @t76 () (or @t75 @t74 @t73)) % 33.52/33.78 (define @t77 () (@list true)) % 33.52/33.78 (define @t78 () (@list @t76)) % 33.52/33.78 (define @t79 () (tptp.set_intersection2 @t68 @t65)) % 33.52/33.78 (define @t80 () (forall @t24 (not (tptp.in @t9 @t79)))) % 33.52/33.78 (define @t81 () (not @t80)) % 33.52/33.78 (define @t82 () (or @t73 @t81)) % 33.52/33.78 (define @t83 () (@list true false)) % 33.52/33.78 (define @t84 () (@quantifiers_skolemize @t80 0)) % 33.52/33.78 (define @t85 () (tptp.in @t84 @t79)) % 33.52/33.78 (define @t86 () (not @t85)) % 33.52/33.78 (define @t87 () (not @t86)) % 33.52/33.78 (define @t88 () (= @t6 @t9)) % 33.52/33.78 (define @t89 () (tptp.in @t7 @t68)) % 33.52/33.78 (define @t90 () (forall @t12 (= (tptp.in @t7 @t79) (and @t89 (tptp.in @t7 @t65))))) % 33.52/33.78 (define @t91 () (= @t90 (= @t79 @t79))) % 33.52/33.78 (define @t92 () (forall @t15 (= @t17 @t88))) % 33.52/33.78 (define @t93 () (@list false)) % 33.52/33.78 (define @t94 () (and (tptp.in @t66 @t68) @t74)) % 33.52/33.78 (define @t95 () (not @t94)) % 33.52/33.78 (define @t96 () (tptp.in @t66 @t79)) % 33.52/33.78 (define @t97 () (= @t96 @t94)) % 33.52/33.78 (define @t98 () (not @t96)) % 33.52/33.78 (define @t99 () (forall @t12 (= @t89 (or (= @t7 @t67) (= @t7 @t66))))) % 33.52/33.78 (define @t100 () (or (= @t67 @t7) (= @t66 @t7))) % 33.52/33.78 (define @t101 () (= @t89 @t100)) % 33.52/33.78 (define @t102 () (forall @t12 @t101)) % 33.52/33.78 (define @t103 () (= (= @t68 @t68) @t102)) % 33.52/33.78 (define @t104 () (forall @t15 (= (= @t5 @t9) (forall @t12 (= @t10 (or (= @t1 @t7) (= @t2 @t7))))))) % 33.52/33.78 (define @t105 () (or (= @t84 @t67) (= @t84 @t66))) % 33.52/33.78 (define @t106 () (tptp.in @t84 @t68)) % 33.52/33.79 (define @t107 () (= @t106 @t105)) % 33.52/33.79 (define @t108 () (@list @t84)) % 33.52/33.79 (define @t109 () (= @t66 @t84)) % 33.52/33.79 (define @t110 () (= @t67 @t84)) % 33.52/33.79 (define @t111 () (or @t110 @t109)) % 33.52/33.79 (define @t112 () (= @t106 @t111)) % 33.52/33.79 (define @t113 () (and @t106 (tptp.in @t84 @t65))) % 33.52/33.79 (define @t114 () (= @t85 @t113)) % 33.52/33.79 (define @t115 () (@list false false)) % 33.52/33.79 (define @t116 () (and (tptp.in @t67 @t68) @t75)) % 33.52/33.79 (define @t117 () (not @t116)) % 33.52/33.79 (define @t118 () (tptp.in @t67 @t79)) % 33.52/33.79 (define @t119 () (= @t118 @t116)) % 33.52/33.79 (define @t120 () (not @t118)) % 33.52/33.79 (define @t121 () (not @t110)) % 33.52/33.79 (define @t122 () (= false true)) % 33.52/33.79 (define @t123 () (and @t85 @t110 @t120)) % 33.52/33.79 (define @t124 () (not @t109)) % 33.52/33.79 (define @t125 () (and @t85 @t109 @t98)) % 33.52/33.79 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.52/33.79 (assume @p2 (forall @t4 (= @t5 (tptp.unordered_pair @t2 @t1)))) % 33.52/33.79 (assume @p3 (forall @t4 (= @t6 (tptp.set_intersection2 @t2 @t1)))) % 33.52/33.79 (assume @p4 @t16) % 33.52/33.79 (assume @p5 @t19) % 33.52/33.79 (assume @p6 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.52/33.79 (assume @p7 (exists @t21 @t20)) % 33.52/33.79 (assume @p8 (exists @t21 (not @t20))) % 33.52/33.79 (assume @p9 (forall @t4 (=> @t22 (tptp.disjoint @t2 @t1)))) % 33.52/33.79 (assume @p10 @t32) % 33.52/33.79 (assume @p11 @t39) % 33.52/33.79 (assume @p12 true) % 33.52/33.79 (step @p13 :rule quant-merge-prenex :args ((= (forall @t49 @t48) (forall (@list @t41 @t40 @t44) @t46)))) % 33.52/33.79 (step @p14 :rule refl :args (@t42)) % 33.52/33.79 (step @p15 :rule alpha_equiv :args (@t50 (@list @t44) (@list @t9))) % 33.52/33.79 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t51)) % 33.52/33.79 (step @p17 :rule quant-miniscope-or :args ((= @t48 @t51))) % 33.52/33.79 (step @p18 :rule trans :premises (@p17 @p16)) % 33.52/33.79 (step @p19 :rule symm :premises (@p18)) % 33.52/33.79 (step @p20 :rule cong :premises (@p19) :args (@t52)) % 33.52/33.79 (step @p21 :rule trans :premises (@p20 @p13)) % 33.52/33.79 (step @p22 :rule refl :args (@t55)) % 33.52/33.79 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((and @t55 @t52))) % 33.52/33.79 (step @p24 :rule alpha_equiv :args (@t57 @t58 (@list @t41 @t40))) % 33.52/33.79 (step @p25 :rule alpha_equiv :args (@t61 @t58 (@list @t54 @t53))) % 33.52/33.79 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t62)) % 33.52/33.79 (step @p27 :rule quant-miniscope-and :args ((= (forall @t4 (and @t60 @t56)) @t62))) % 33.52/33.79 (step @p28 :rule trans :premises (@p27 @p26)) % 33.52/33.79 (step @p29 :rule trans :premises (@p28 @p23)) % 33.52/33.79 (step @p30 :rule refl :args (@t29)) % 33.52/33.79 (step @p31 :rule bool-double-not-elim :args (@t28)) % 33.52/33.79 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t59) @t29))) % 33.52/33.79 (step @p33 :rule bool-and-de-morgan :args (@t59 @t22 true)) % 33.52/33.79 (step @p34 :rule trans :premises (@p33 @p32)) % 33.52/33.79 (step @p35 :rule refl :args (@t59)) % 33.52/33.79 (step @p36 :rule bool-double-not-elim :args (@t22)) % 33.52/33.79 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t29) @t59))) % 33.52/33.79 (step @p38 :rule bool-and-de-morgan :args (@t29 @t28 true)) % 33.52/33.79 (step @p39 :rule trans :premises (@p38 @p37)) % 33.52/33.79 (step @p40 :rule nary_cong :premises (@p39 @p34) :args (@t63)) % 33.52/33.79 (step @p41 :rule cong :premises (@p40) :args ((forall @t4 @t63))) % 33.52/33.79 (step @p42 :rule trans :premises (@p41 @p29)) % 33.52/33.79 (step @p43 :rule refl :args (@t22)) % 33.52/33.79 (step @p44 :rule exists-elim :args ((= @t25 @t59))) % 33.52/33.79 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t26)) % 33.52/33.79 (step @p46 :rule cong :premises (@p45) :args (@t27)) % 33.52/33.79 (step @p47 :rule refl :args (@t30)) % 33.52/33.79 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t31)) % 33.52/33.79 (step @p49 :rule cong :premises (@p48) :args (@t32)) % 33.52/33.79 (step @p50 :rule trans :premises (@p49 @p42)) % 33.52/33.79 (step @p51 :rule eq_resolve :premises (@p10 @p50)) % 33.52/33.79 (step @p52 :rule and_elim :premises (@p51) :args (0)) % 33.52/33.79 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t68 @t65))) % 33.52/33.79 (step @p54 :rule bool-double-not-elim :args (@t33)) % 33.52/33.79 (step @p55 :rule bool-double-not-elim :args (@t35)) % 33.52/33.79 (step @p56 :rule bool-double-not-elim :args (@t3)) % 33.52/33.79 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t72)) % 33.52/33.79 (step @p58 :rule aci_norm :args ((= (or @t71 (or @t70 @t69)) @t72))) % 33.52/33.79 (step @p59 :rule trans :premises (@p58 @p57)) % 33.52/33.79 (step @p60 :rule bool-and-de-morgan :args (@t36 @t34 true)) % 33.52/33.79 (step @p61 :rule refl :args (@t71)) % 33.52/33.79 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t71 (not (and @t36 @t34))))) % 33.52/33.79 (step @p63 :rule bool-and-de-morgan :args (@t37 @t36 (and @t34))) % 33.52/33.79 (step @p64 :rule trans :premises (@p63 @p62)) % 33.52/33.79 (step @p65 :rule trans :premises (@p64 @p59)) % 33.52/33.79 (step @p66 :rule cong :premises (@p65) :args (@t38)) % 33.52/33.79 (step @p67 :rule cong :premises (@p66) :args (@t39)) % 33.52/33.79 (step @p68 :rule eq_resolve :premises (@p11 @p67)) % 33.52/33.79 (step @p69 :rule skolemize :premises (@p68)) % 33.52/33.79 (step @p70 :rule cnf_or_neg :args (@t76 2)) % 33.52/33.79 (step @p71 :rule chain_m_resolution :premises (@p70 @p69) :args ((not @t73) @t77 @t78)) % 33.52/33.79 (step @p72 :rule cnf_or_pos :args (@t82)) % 33.52/33.79 (step @p73 :rule reordering :premises (@p72) :args ((or @t73 @t81 (not @t82)))) % 33.52/33.79 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p53) :args (@t81 @t83 (@list @t73 @t82))) % 33.52/33.79 (step @p75 :rule refl :args (@t85)) % 33.52/33.79 (step @p76 :rule bool-double-not-elim :args (@t80)) % 33.52/33.79 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t81) @t85))) % 33.52/33.79 (step @p78 :rule bool-double-not-elim :args (@t85)) % 33.52/33.79 (step @p79 :rule refl :args (@t81)) % 33.52/33.79 (step @p80 :rule cong :premises (@p79 @p78) :args ((=> @t81 @t87))) % 33.52/33.79 (assume-push @p246 @t81) % 33.52/33.79 (step @p82 :rule skolemize :premises (@p74)) % 33.52/33.79 (step-pop @p247 :rule scope :premises (@p82)) % 33.52/33.79 (step @p83 :rule process_scope :premises (@p247) :args (@t87)) % 33.52/33.79 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 33.52/33.79 (step @p86 :rule implies_elim :premises (@p85)) % 33.52/33.79 (step @p87 :rule eq_resolve :premises (@p86 @p77)) % 33.52/33.79 (step @p88 :rule chain_m_resolution :premises (@p87 @p74) :args (@t85 @t77 (@list @t80))) % 33.52/33.79 (step @p89 :rule eq-symm :args (@t88 @t17)) % 33.52/33.79 (step @p90 :rule refl :args (@t17)) % 33.52/33.79 (step @p91 :rule eq-symm :args (@t9 @t6)) % 33.52/33.79 (step @p92 :rule cong :premises (@p91 @p90) :args (@t18)) % 33.52/33.79 (step @p93 :rule trans :premises (@p92 @p89)) % 33.52/33.79 (step @p94 :rule cong :premises (@p93) :args (@t19)) % 33.52/33.79 (step @p95 :rule eq_resolve :premises (@p5 @p94)) % 33.52/33.79 (step @p96 :rule bool-eq-true :args (@t90)) % 33.52/33.79 (step @p97 :rule eq-refl :args (@t79)) % 33.52/33.79 (step @p98 :rule refl :args (@t90)) % 33.52/33.79 (step @p99 :rule cong :premises (@p98 @p97) :args (@t91)) % 33.52/33.79 (step @p100 :rule trans :premises (@p99 @p96)) % 33.52/33.79 (step @p101 :rule refl :args (@t92)) % 33.52/33.79 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t92 @t91))) % 33.52/33.79 (assume-push @p248 @t92) % 33.52/33.79 (step @p104 :rule instantiate :premises (@p95) :args ((@list @t68 @t65 @t79))) % 33.52/33.79 (step-pop @p249 :rule scope :premises (@p104)) % 33.52/33.79 (step @p105 :rule process_scope :premises (@p249) :args (@t91)) % 33.52/33.79 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 33.52/33.79 (step @p108 :rule implies_elim :premises (@p107)) % 33.52/33.79 (step @p109 :rule chain_m_resolution :premises (@p108 @p95) :args (@t90 @t93 (@list @t92))) % 33.52/33.79 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t66))) % 33.52/33.79 (step @p111 :rule cnf_or_neg :args (@t76 1)) % 33.52/33.79 (step @p112 :rule chain_m_resolution :premises (@p111 @p69) :args ((not @t74) @t77 @t78)) % 33.52/33.79 (step @p113 :rule cnf_and_pos :args (@t94 1)) % 33.52/33.79 (step @p114 :rule reordering :premises (@p113) :args ((or @t74 @t95))) % 33.52/33.79 (step @p115 :rule chain_m_resolution :premises (@p114 @p112) :args (@t95 @t77 (@list @t74))) % 33.52/33.79 (step @p116 :rule cnf_equiv_pos1 :args (@t97)) % 33.52/33.79 (step @p117 :rule reordering :premises (@p116) :args ((or @t94 @t98 (not @t97)))) % 33.52/33.79 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p110) :args (@t98 @t83 (@list @t94 @t97))) % 33.52/33.79 (step @p119 :rule eq-symm :args (@t7 @t2)) % 33.52/33.79 (step @p120 :rule eq-symm :args (@t7 @t1)) % 33.52/33.79 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t8)) % 33.52/33.79 (step @p122 :rule refl :args (@t10)) % 33.52/33.79 (step @p123 :rule cong :premises (@p122 @p121) :args (@t11)) % 33.52/33.79 (step @p124 :rule cong :premises (@p123) :args (@t13)) % 33.52/33.79 (step @p125 :rule eq-symm :args (@t9 @t5)) % 33.52/33.79 (step @p126 :rule cong :premises (@p125 @p124) :args (@t14)) % 33.52/33.79 (step @p127 :rule cong :premises (@p126) :args (@t16)) % 33.52/33.79 (step @p128 :rule eq_resolve :premises (@p4 @p127)) % 33.52/33.79 (step @p129 :rule bool-eq-true :args (@t99)) % 33.52/33.79 (step @p130 :rule eq-symm :args (true @t99)) % 33.52/33.79 (step @p131 :rule trans :premises (@p130 @p129)) % 33.52/33.79 (step @p132 :rule eq-symm :args (@t66 @t7)) % 33.52/33.79 (step @p133 :rule eq-symm :args (@t67 @t7)) % 33.52/33.79 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t100)) % 33.52/33.79 (step @p135 :rule refl :args (@t89)) % 33.52/33.79 (step @p136 :rule cong :premises (@p135 @p134) :args (@t101)) % 33.52/33.79 (step @p137 :rule cong :premises (@p136) :args (@t102)) % 33.52/33.79 (step @p138 :rule eq-refl :args (@t68)) % 33.52/33.79 (step @p139 :rule cong :premises (@p138 @p137) :args (@t103)) % 33.52/33.79 (step @p140 :rule trans :premises (@p139 @p131)) % 33.52/33.79 (step @p141 :rule refl :args (@t104)) % 33.52/33.79 (step @p142 :rule cong :premises (@p141 @p140) :args ((=> @t104 @t103))) % 33.52/33.79 (assume-push @p250 @t104) % 33.52/33.79 (step @p144 :rule instantiate :premises (@p128) :args ((@list @t67 @t66 @t68))) % 33.52/33.79 (step-pop @p251 :rule scope :premises (@p144)) % 33.52/33.79 (step @p145 :rule process_scope :premises (@p251) :args (@t103)) % 33.52/33.79 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 33.52/33.79 (step @p148 :rule implies_elim :premises (@p147)) % 33.52/33.79 (step @p149 :rule chain_m_resolution :premises (@p148 @p128) :args (@t99 @t93 (@list @t104))) % 33.52/33.79 (step @p150 :rule eq-symm :args (@t84 @t66)) % 33.52/33.79 (step @p151 :rule eq-symm :args (@t84 @t67)) % 33.52/33.79 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t105)) % 33.52/33.79 (step @p153 :rule refl :args (@t106)) % 33.52/33.79 (step @p154 :rule cong :premises (@p153 @p152) :args (@t107)) % 33.52/33.79 (step @p155 :rule refl :args (@t99)) % 33.52/33.79 (step @p156 :rule cong :premises (@p155 @p154) :args ((=> @t99 @t107))) % 33.52/33.79 (assume-push @p252 @t99) % 33.52/33.79 (step @p158 :rule instantiate :premises (@p149) :args (@t108)) % 33.52/33.79 (step-pop @p253 :rule scope :premises (@p158)) % 33.52/33.79 (step @p159 :rule process_scope :premises (@p253) :args (@t107)) % 33.52/33.79 (step @p161 :rule eq_resolve :premises (@p159 @p156)) % 33.52/33.79 (step @p162 :rule implies_elim :premises (@p161)) % 33.52/33.79 (step @p163 :rule chain_m_resolution :premises (@p162 @p149) :args (@t112 @t93 (@list @t99))) % 33.52/33.79 (step @p164 :rule instantiate :premises (@p109) :args (@t108)) % 33.52/33.79 (step @p165 :rule cnf_equiv_pos1 :args (@t114)) % 33.52/33.79 (step @p166 :rule reordering :premises (@p165) :args ((or @t86 @t113 (not @t114)))) % 33.52/33.79 (step @p167 :rule chain_m_resolution :premises (@p166 @p88 @p164) :args (@t113 @t115 (@list @t85 @t114))) % 33.52/33.79 (step @p168 :rule cnf_and_pos :args (@t113 0)) % 33.52/33.79 (step @p169 :rule reordering :premises (@p168) :args ((or @t106 (not @t113)))) % 33.52/33.79 (step @p170 :rule chain_m_resolution :premises (@p169 @p167) :args (@t106 @t93 (@list @t113))) % 33.52/33.79 (step @p171 :rule cnf_equiv_pos1 :args (@t112)) % 33.52/33.79 (step @p172 :rule reordering :premises (@p171) :args ((or (not @t106) @t111 (not @t112)))) % 33.52/33.79 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p163) :args (@t111 @t115 (@list @t106 @t112))) % 33.52/33.79 (step @p174 :rule instantiate :premises (@p109) :args ((@list @t67))) % 33.52/33.79 (step @p175 :rule cnf_or_neg :args (@t76 0)) % 33.52/33.79 (step @p176 :rule chain_m_resolution :premises (@p175 @p69) :args ((not @t75) @t77 @t78)) % 33.52/33.79 (step @p177 :rule cnf_and_pos :args (@t116 1)) % 33.52/33.79 (step @p178 :rule reordering :premises (@p177) :args ((or @t75 @t117))) % 33.52/33.79 (step @p179 :rule chain_m_resolution :premises (@p178 @p176) :args (@t117 @t77 (@list @t75))) % 33.52/33.79 (step @p180 :rule cnf_equiv_pos1 :args (@t119)) % 33.52/33.79 (step @p181 :rule reordering :premises (@p180) :args ((or @t116 @t120 (not @t119)))) % 33.52/33.79 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p174) :args (@t120 @t83 (@list @t116 @t119))) % 33.52/33.79 (step @p183 :rule refl :args (@t121)) % 33.52/33.79 (step @p184 :rule bool-double-not-elim :args (@t118)) % 33.52/33.79 (step @p185 :rule refl :args (@t86)) % 33.52/33.79 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args ((or @t86 (not @t120) @t121))) % 33.52/33.79 (assume-push @p254 @t85) % 33.52/33.79 (assume-push @p255 @t110) % 33.52/33.79 (assume-push @p256 @t120) % 33.52/33.79 (step @p190 :rule evaluate :args (@t122)) % 33.52/33.79 (step @p191 :rule true_intro :premises (@p88)) % 33.52/33.79 (step @p192 :rule refl :args (@t79)) % 33.52/33.79 (step @p193 :rule cong :premises (@p255 @p192) :args (@t118)) % 33.52/33.79 (step @p194 :rule false_intro :premises (@p182)) % 33.52/33.79 (step @p195 :rule symm :premises (@p194)) % 33.52/33.79 (step @p196 :rule trans :premises (@p195 @p193 @p191)) % 33.52/33.79 (step @p197 false :rule eq_resolve :premises (@p196 @p190)) % 33.52/33.79 (step-pop @p257 :rule scope :premises (@p197)) % 33.52/33.79 (step-pop @p258 :rule scope :premises (@p257)) % 33.52/33.79 (step-pop @p259 :rule scope :premises (@p258)) % 33.52/33.79 (step @p198 :rule process_scope :premises (@p259) :args (false)) % 33.52/33.79 (assume-push @p260 @t85) % 33.52/33.79 (assume-push @p261 @t120) % 33.52/33.79 (assume-push @p262 @t110) % 33.52/33.79 (step @p205 :rule and_intro :premises (@p88 @p262 @p182)) % 33.52/33.79 (step-pop @p263 :rule scope :premises (@p205)) % 33.52/33.79 (step-pop @p264 :rule scope :premises (@p263)) % 33.52/33.79 (step-pop @p265 :rule scope :premises (@p264)) % 33.52/33.79 (step @p206 :rule process_scope :premises (@p265) :args (@t123)) % 33.52/33.79 (step @p210 :rule implies_elim :premises (@p206)) % 33.52/33.79 (step @p211 :rule resolution :premises (@p210 @p198) :args (true @t123)) % 33.52/33.79 (step @p212 :rule not_and :premises (@p211)) % 33.52/33.79 (step @p213 :rule eq_resolve :premises (@p212 @p186)) % 33.52/33.79 (step @p214 :rule chain_m_resolution :premises (@p213 @p88 @p182) :args (@t121 (@list false true) (@list @t85 @t118))) % 33.52/33.79 (step @p215 :rule cnf_or_pos :args (@t111)) % 33.52/33.79 (step @p216 :rule reordering :premises (@p215) :args ((or @t110 @t109 (not @t111)))) % 33.52/33.79 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p173) :args (@t109 @t83 (@list @t110 @t111))) % 33.52/33.79 (step @p218 :rule refl :args (@t124)) % 33.52/33.79 (step @p219 :rule bool-double-not-elim :args (@t96)) % 33.52/33.79 (step @p220 :rule nary_cong :premises (@p185 @p219 @p218) :args ((or @t86 (not @t98) @t124))) % 33.52/33.79 (assume-push @p266 @t85) % 33.52/33.79 (assume-push @p267 @t109) % 33.52/33.79 (assume-push @p268 @t98) % 33.52/33.79 (step @p190 :rule evaluate :args (@t122)) % 33.52/33.79 (step @p191 :rule true_intro :premises (@p88)) % 33.52/33.79 (step @p192 :rule refl :args (@t79)) % 33.52/33.79 (step @p224 :rule cong :premises (@p267 @p192) :args (@t96)) % 33.52/33.79 (step @p225 :rule false_intro :premises (@p118)) % 33.52/33.79 (step @p226 :rule symm :premises (@p225)) % 33.52/33.79 (step @p227 :rule trans :premises (@p226 @p224 @p191)) % 33.52/33.79 (step @p228 false :rule eq_resolve :premises (@p227 @p190)) % 33.52/33.79 (step-pop @p269 :rule scope :premises (@p228)) % 33.52/33.79 (step-pop @p270 :rule scope :premises (@p269)) % 33.52/33.79 (step-pop @p271 :rule scope :premises (@p270)) % 33.52/33.79 (step @p229 :rule process_scope :premises (@p271) :args (false)) % 33.52/33.79 (assume-push @p272 @t85) % 33.52/33.79 (assume-push @p273 @t98) % 33.52/33.79 (assume-push @p274 @t109) % 33.52/33.79 (step @p236 :rule and_intro :premises (@p88 @p274 @p118)) % 33.52/33.79 (step-pop @p275 :rule scope :premises (@p236)) % 33.52/33.79 (step-pop @p276 :rule scope :premises (@p275)) % 33.52/33.79 (step-pop @p277 :rule scope :premises (@p276)) % 33.52/33.79 (step @p237 :rule process_scope :premises (@p277) :args (@t125)) % 33.52/33.79 (step @p241 :rule implies_elim :premises (@p237)) % 33.52/33.79 (step @p242 :rule resolution :premises (@p241 @p229) :args (true @t125)) % 33.52/33.79 (step @p243 :rule not_and :premises (@p242)) % 33.52/33.79 (step @p244 :rule eq_resolve :premises (@p243 @p220)) % 33.52/33.79 (step @p245 false :rule chain_m_resolution :premises (@p244 @p217 @p118 @p88) :args (false (@list false true false) (@list @t109 @t96 @t85))) % 33.52/33.79 ) % 33.52/33.79 % SZS output end Proof % 33.52/33.79 % cvc5 exiting %------------------------------------------------------------------------------