%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET938+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 : n011.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 08:49:02 AM UTC 2026 % Result : Theorem 203.18s 203.92s % Output : Proof 203.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET938+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n011.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:17:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 203.18/203.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 203.18/203.92 --- Run --no-e-matching --full-saturate-quant at 6... % 203.18/203.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 203.18/203.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 203.18/203.92 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 203.18/203.92 --- Run --trigger-sel=max --full-saturate-quant at 15... % 203.18/203.92 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 203.18/203.92 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 203.18/203.92 --- Run --prenex-quant=none --full-saturate-quant at 30... % 203.18/203.92 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 203.18/203.92 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.18/203.92 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 203.18/203.92 % SZS status Theorem % 203.18/203.92 % SZS output start Proof % 203.18/203.92 ( % 203.18/203.92 (declare-sort $$unsorted 0) % 203.18/203.92 (declare-const tptp.empty (-> $$unsorted Bool)) % 203.18/203.92 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 203.18/203.92 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 203.18/203.92 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 203.18/203.92 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 203.18/203.92 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 203.18/203.92 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 203.18/203.92 (define @t1 () (@var "A" $$unsorted)) % 203.18/203.92 (define @t2 () (@var "B" $$unsorted)) % 203.18/203.92 (define @t3 () (@list @t1 @t2)) % 203.18/203.92 (define @t4 () (tptp.set_union2 @t2 @t1)) % 203.18/203.92 (define @t5 () (tptp.set_union2 @t1 @t2)) % 203.18/203.92 (define @t6 () (tptp.symmetric_difference @t1 @t2)) % 203.18/203.92 (define @t7 () (@var "C" $$unsorted)) % 203.18/203.92 (define @t8 () (tptp.in @t7 @t2)) % 203.18/203.92 (define @t9 () (@list @t7)) % 203.18/203.92 (define @t10 () (forall @t3 (= (= @t2 (tptp.powerset @t1)) (forall @t9 (= @t8 (tptp.subset @t7 @t1)))))) % 203.18/203.92 (define @t11 () (@var "D" $$unsorted)) % 203.18/203.92 (define @t12 () (@list @t11)) % 203.18/203.92 (define @t13 () (forall @t12 (= (tptp.in @t11 @t7) (or (tptp.in @t11 @t1) (tptp.in @t11 @t2))))) % 203.18/203.92 (define @t14 () (= (= @t7 @t5) @t13)) % 203.18/203.92 (define @t15 () (@list @t1 @t2 @t7)) % 203.18/203.92 (define @t16 () (forall @t15 @t14)) % 203.18/203.92 (define @t17 () (tptp.in @t7 @t1)) % 203.18/203.92 (define @t18 () (forall @t9 (=> @t17 @t8))) % 203.18/203.92 (define @t19 () (tptp.subset @t1 @t2)) % 203.18/203.92 (define @t20 () (= @t19 @t18)) % 203.18/203.92 (define @t21 () (forall @t3 @t20)) % 203.18/203.92 (define @t22 () (tptp.set_difference @t2 @t1)) % 203.18/203.92 (define @t23 () (tptp.set_difference @t1 @t2)) % 203.18/203.92 (define @t24 () (forall @t3 (= @t6 (tptp.set_union2 @t23 @t22)))) % 203.18/203.92 (define @t25 () (tptp.empty @t1)) % 203.18/203.92 (define @t26 () (not @t25)) % 203.18/203.92 (define @t27 () (@list @t1)) % 203.18/203.92 (define @t28 () (not (forall @t3 (tptp.subset (tptp.set_union2 (tptp.powerset @t23) (tptp.powerset @t22)) (tptp.powerset @t6))))) % 203.18/203.92 (define @t29 () (@var "b_B" it_11_$$unsorted)) % 203.18/203.92 (define @t30 () (@var "b_A" it_11_$$unsorted)) % 203.18/203.92 (define @t31 () (@const 0 (-> it_11_$$unsorted it_11_$$unsorted $$unsorted))) % 203.18/203.92 (define @t32 () (@const 1 (-> it_11_$$unsorted it_11_$$unsorted $$unsorted))) % 203.18/203.92 (define @t33 () (forall (@list @t30 @t29) (tptp.subset (tptp.set_union2 (tptp.powerset (_ @t32 @t30 @t29)) (tptp.powerset (_ @t32 @t29 @t30))) (tptp.powerset (_ @t31 @t30 @t29))))) % 203.18/203.92 (define @t34 () (@quantifiers_skolemize @t33 1)) % 203.18/203.92 (define @t35 () (@quantifiers_skolemize @t33 0)) % 203.18/203.92 (define @t36 () (_ @t32 @t35 @t34)) % 203.18/203.92 (define @t37 () (_ @t31 @t35 @t34)) % 203.18/203.92 (define @t38 () (tptp.powerset @t37)) % 203.18/203.92 (define @t39 () (tptp.in @t7 @t38)) % 203.18/203.92 (define @t40 () (_ @t32 @t34 @t35)) % 203.18/203.92 (define @t41 () (tptp.powerset @t40)) % 203.18/203.92 (define @t42 () (tptp.powerset @t36)) % 203.18/203.92 (define @t43 () (tptp.set_union2 @t42 @t41)) % 203.18/203.92 (define @t44 () (forall @t9 (or (not (tptp.in @t7 @t43)) @t39))) % 203.18/203.92 (define @t45 () (@quantifiers_skolemize @t44 0)) % 203.18/203.92 (define @t46 () (forall @t9 (= (tptp.in @t7 @t42) (tptp.subset @t7 @t36)))) % 203.18/203.92 (define @t47 () (= (= @t42 @t42) @t46)) % 203.18/203.92 (define @t48 () (@list false)) % 203.18/203.92 (define @t49 () (@list @t10)) % 203.18/203.92 (define @t50 () (@list @t45)) % 203.18/203.92 (define @t51 () (= @t5 @t7)) % 203.18/203.92 (define @t52 () (forall @t12 (= (tptp.in @t11 @t43) (or (tptp.in @t11 @t41) (tptp.in @t11 @t42))))) % 203.18/203.92 (define @t53 () (tptp.set_union2 @t41 @t42)) % 203.18/203.92 (define @t54 () (= @t53 @t43)) % 203.18/203.92 (define @t55 () (forall @t15 (= @t13 @t51))) % 203.18/203.92 (define @t56 () (= @t52 @t54)) % 203.18/203.92 (define @t57 () (= @t43 @t53)) % 203.18/203.92 (define @t58 () (= @t57 @t52)) % 203.18/203.92 (define @t59 () (@list @t55)) % 203.18/203.92 (define @t60 () (@list false false)) % 203.18/203.92 (define @t61 () (tptp.subset @t43 @t38)) % 203.18/203.92 (define @t62 () (= @t61 @t44)) % 203.18/203.92 (define @t63 () (not @t44)) % 203.18/203.92 (define @t64 () (@list true false)) % 203.18/203.92 (define @t65 () (tptp.in @t45 @t43)) % 203.18/203.92 (define @t66 () (tptp.in @t45 @t38)) % 203.18/203.92 (define @t67 () (not @t65)) % 203.18/203.92 (define @t68 () (or @t67 @t66)) % 203.18/203.92 (define @t69 () (@list true)) % 203.18/203.92 (define @t70 () (@list @t68)) % 203.18/203.92 (define @t71 () (tptp.in @t45 @t42)) % 203.18/203.92 (define @t72 () (tptp.in @t45 @t41)) % 203.18/203.92 (define @t73 () (or @t72 @t71)) % 203.18/203.92 (define @t74 () (= @t65 @t73)) % 203.18/203.92 (define @t75 () (forall @t9 (= (tptp.in @t7 @t41) (tptp.subset @t7 @t40)))) % 203.18/203.92 (define @t76 () (= (= @t41 @t41) @t75)) % 203.18/203.92 (define @t77 () (forall @t12 (= (tptp.in @t11 @t37) (or (tptp.in @t11 @t36) (tptp.in @t11 @t40))))) % 203.18/203.92 (define @t78 () (tptp.set_union2 @t36 @t40)) % 203.18/203.92 (define @t79 () (= @t78 @t37)) % 203.18/203.92 (define @t80 () (= @t77 @t79)) % 203.18/203.92 (define @t81 () (= @t37 @t78)) % 203.18/203.92 (define @t82 () (= @t81 @t77)) % 203.18/203.92 (define @t83 () (@var "b_A" it_11_$$unsorted)) % 203.18/203.92 (define @t84 () (@var "b_B" it_11_$$unsorted)) % 203.18/203.92 (define @t85 () (not (tptp.in @t7 @t45))) % 203.18/203.92 (define @t86 () (forall @t9 (or @t85 (tptp.in @t7 @t37)))) % 203.18/203.92 (define @t87 () (@quantifiers_skolemize @t86 0)) % 203.18/203.92 (define @t88 () (@list @t87)) % 203.18/203.92 (define @t89 () (forall @t9 (= @t39 (tptp.subset @t7 @t37)))) % 203.18/203.92 (define @t90 () (= (= @t38 @t38) @t89)) % 203.18/203.92 (define @t91 () (tptp.subset @t45 @t37)) % 203.18/203.92 (define @t92 () (= @t66 @t91)) % 203.18/203.92 (define @t93 () (not @t91)) % 203.18/203.92 (define @t94 () (= @t91 @t86)) % 203.18/203.92 (define @t95 () (not @t86)) % 203.18/203.92 (define @t96 () (tptp.in @t87 @t37)) % 203.18/203.92 (define @t97 () (tptp.in @t87 @t45)) % 203.18/203.92 (define @t98 () (not @t97)) % 203.18/203.92 (define @t99 () (or @t98 @t96)) % 203.18/203.92 (define @t100 () (@list @t99)) % 203.18/203.92 (define @t101 () (tptp.in @t87 @t40)) % 203.18/203.92 (define @t102 () (tptp.in @t87 @t36)) % 203.18/203.92 (define @t103 () (or @t102 @t101)) % 203.18/203.92 (define @t104 () (= @t96 @t103)) % 203.18/203.92 (define @t105 () (not @t103)) % 203.18/203.92 (define @t106 () (@list @t103)) % 203.18/203.92 (define @t107 () (or @t98 @t101)) % 203.18/203.92 (define @t108 () (not @t107)) % 203.18/203.92 (define @t109 () (@list false true)) % 203.18/203.92 (define @t110 () (forall @t9 (or @t85 (tptp.in @t7 @t40)))) % 203.18/203.92 (define @t111 () (tptp.subset @t45 @t40)) % 203.18/203.92 (define @t112 () (= @t111 @t110)) % 203.18/203.92 (define @t113 () (not @t111)) % 203.18/203.92 (define @t114 () (= @t72 @t111)) % 203.18/203.92 (define @t115 () (not @t72)) % 203.18/203.92 (define @t116 () (tptp.subset @t45 @t36)) % 203.18/203.92 (define @t117 () (= @t71 @t116)) % 203.18/203.92 (define @t118 () (forall @t9 (or @t85 (tptp.in @t7 @t36)))) % 203.18/203.92 (define @t119 () (= @t116 @t118)) % 203.18/203.92 (define @t120 () (or @t98 @t102)) % 203.18/203.92 (define @t121 () (not @t120)) % 203.18/203.92 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 203.18/203.92 (assume @p2 (forall @t3 (= @t5 @t4))) % 203.18/203.92 (assume @p3 (forall @t3 (= @t6 (tptp.symmetric_difference @t2 @t1)))) % 203.18/203.92 (assume @p4 @t10) % 203.18/203.92 (assume @p5 @t16) % 203.18/203.92 (assume @p6 @t21) % 203.18/203.92 (assume @p7 @t24) % 203.18/203.92 (assume @p8 (forall @t3 (=> @t26 (not (tptp.empty @t5))))) % 203.18/203.92 (assume @p9 (forall @t3 (=> @t26 (not (tptp.empty @t4))))) % 203.18/203.92 (assume @p10 (forall @t3 (= (tptp.set_union2 @t1 @t1) @t1))) % 203.18/203.92 (assume @p11 (exists @t27 @t25)) % 203.18/203.92 (assume @p12 (exists @t27 @t26)) % 203.18/203.92 (assume @p13 (forall @t3 (tptp.subset @t1 @t1))) % 203.18/203.92 (assume @p14 @t28) % 203.18/203.92 (assume @p15 true) % 203.18/203.92 (step @p16 :rule bool-impl-elim :args (@t17 @t8)) % 203.18/203.92 (step @p17 :rule cong :premises (@p16) :args (@t18)) % 203.18/203.92 (step @p18 :rule refl :args (@t19)) % 203.18/203.92 (step @p19 :rule cong :premises (@p18 @p17) :args (@t20)) % 203.18/203.92 (step @p20 :rule cong :premises (@p19) :args (@t21)) % 203.18/203.92 (step @p21 :rule eq_resolve :premises (@p6 @p20)) % 203.18/203.92 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t45 @t36))) % 203.18/203.92 (step @p23 :rule bool-eq-true :args (@t46)) % 203.18/203.92 (step @p24 :rule eq-symm :args (true @t46)) % 203.18/203.92 (step @p25 :rule trans :premises (@p24 @p23)) % 203.18/203.92 (step @p26 :rule refl :args (@t46)) % 203.18/203.92 (step @p27 :rule eq-refl :args (@t42)) % 203.18/203.92 (step @p28 :rule cong :premises (@p27 @p26) :args (@t47)) % 203.18/203.92 (step @p29 :rule trans :premises (@p28 @p25)) % 203.18/203.92 (step @p30 :rule refl :args (@t10)) % 203.18/203.92 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t10 @t47))) % 203.18/203.92 (assume-push @p196 @t10) % 203.18/203.92 (step @p33 :rule instantiate :premises (@p4) :args ((@list @t36 @t42))) % 203.18/203.92 (step-pop @p197 :rule scope :premises (@p33)) % 203.18/203.92 (step @p34 :rule process_scope :premises (@p197) :args (@t47)) % 203.18/203.92 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 203.18/203.92 (step @p37 :rule implies_elim :premises (@p36)) % 203.18/203.92 (step @p38 :rule chain_m_resolution :premises (@p37 @p4) :args (@t46 @t48 @t49)) % 203.18/203.92 (step @p39 :rule instantiate :premises (@p38) :args (@t50)) % 203.18/203.92 (step @p40 :rule eq-symm :args (@t51 @t13)) % 203.18/203.92 (step @p41 :rule refl :args (@t13)) % 203.18/203.92 (step @p42 :rule eq-symm :args (@t7 @t5)) % 203.18/203.92 (step @p43 :rule cong :premises (@p42 @p41) :args (@t14)) % 203.18/203.92 (step @p44 :rule trans :premises (@p43 @p40)) % 203.18/203.92 (step @p45 :rule cong :premises (@p44) :args (@t16)) % 203.18/203.92 (step @p46 :rule eq_resolve :premises (@p5 @p45)) % 203.18/203.92 (step @p47 :rule refl :args (@t52)) % 203.18/203.92 (step @p48 :rule eq-symm :args (@t53 @t43)) % 203.18/203.92 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t54 @t52))) % 203.18/203.92 (step @p50 :rule eq-symm :args (@t52 @t54)) % 203.18/203.92 (step @p51 :rule trans :premises (@p50 @p49)) % 203.18/203.92 (step @p52 :rule refl :args (@t55)) % 203.18/203.92 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t55 @t56))) % 203.18/203.92 (assume-push @p198 @t55) % 203.18/203.92 (step @p55 :rule instantiate :premises (@p46) :args ((@list @t41 @t42 @t43))) % 203.18/203.92 (step-pop @p199 :rule scope :premises (@p55)) % 203.18/203.92 (step @p56 :rule process_scope :premises (@p199) :args (@t56)) % 203.18/203.92 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 203.18/203.92 (step @p59 :rule implies_elim :premises (@p58)) % 203.18/203.92 (step @p60 :rule chain_m_resolution :premises (@p59 @p46) :args (@t58 @t48 @t59)) % 203.18/203.92 (step @p61 :rule instantiate :premises (@p2) :args ((@list @t42 @t41))) % 203.18/203.92 (step @p62 :rule cnf_equiv_pos1 :args (@t58)) % 203.18/203.92 (step @p63 :rule reordering :premises (@p62) :args ((or (not @t57) @t52 (not @t58)))) % 203.18/203.92 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p60) :args (@t52 @t60 (@list @t57 @t58))) % 203.18/203.92 (step @p65 :rule instantiate :premises (@p64) :args (@t50)) % 203.18/203.92 (step @p66 :rule instantiate :premises (@p21) :args ((@list @t43 @t38))) % 203.18/203.92 ; WARNING: add trust step for TRUST % 203.18/203.92 ; trust TRUST PREPROCESS_SORT_INFER % 203.18/203.92 (step @p67 :rule trust :premises () :args ((= @t28 (not @t33)))) % 203.18/203.92 (step @p68 :rule eq_resolve :premises (@p14 @p67)) % 203.18/203.92 (step @p69 :rule skolemize :premises (@p68)) % 203.18/203.92 (step @p70 :rule cnf_equiv_pos2 :args (@t62)) % 203.18/203.92 (step @p71 :rule reordering :premises (@p70) :args ((or @t61 @t63 (not @t62)))) % 203.18/203.92 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p66) :args (@t63 @t64 (@list @t61 @t62))) % 203.18/203.92 (step @p73 :rule skolemize :premises (@p72)) % 203.18/203.92 (step @p74 :rule bool-double-not-elim :args (@t65)) % 203.18/203.92 (step @p75 :rule refl :args (@t68)) % 203.18/203.92 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t68 (not @t67)))) % 203.18/203.92 (step @p77 :rule cnf_or_neg :args (@t68 0)) % 203.18/203.92 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 203.18/203.92 (step @p79 :rule reordering :premises (@p78) :args ((or @t65 @t68))) % 203.18/203.92 (step @p80 :rule chain_m_resolution :premises (@p79 @p73) :args (@t65 @t69 @t70)) % 203.18/203.92 (step @p81 :rule cnf_equiv_pos1 :args (@t74)) % 203.18/203.92 (step @p82 :rule reordering :premises (@p81) :args ((or @t67 @t73 (not @t74)))) % 203.18/203.92 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p65) :args (@t73 @t60 (@list @t65 @t74))) % 203.18/203.92 (step @p84 :rule bool-eq-true :args (@t75)) % 203.18/203.92 (step @p85 :rule eq-symm :args (true @t75)) % 203.18/203.92 (step @p86 :rule trans :premises (@p85 @p84)) % 203.18/203.92 (step @p87 :rule refl :args (@t75)) % 203.18/203.92 (step @p88 :rule eq-refl :args (@t41)) % 203.18/203.92 (step @p89 :rule cong :premises (@p88 @p87) :args (@t76)) % 203.18/203.92 (step @p90 :rule trans :premises (@p89 @p86)) % 203.18/203.92 (step @p91 :rule cong :premises (@p30 @p90) :args ((=> @t10 @t76))) % 203.18/203.92 (assume-push @p200 @t10) % 203.18/203.92 (step @p93 :rule instantiate :premises (@p4) :args ((@list @t40 @t41))) % 203.18/203.92 (step-pop @p201 :rule scope :premises (@p93)) % 203.18/203.92 (step @p94 :rule process_scope :premises (@p201) :args (@t76)) % 203.18/203.92 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 203.18/203.92 (step @p97 :rule implies_elim :premises (@p96)) % 203.18/203.92 (step @p98 :rule chain_m_resolution :premises (@p97 @p4) :args (@t75 @t48 @t49)) % 203.18/203.92 (step @p99 :rule instantiate :premises (@p98) :args (@t50)) % 203.18/203.92 (step @p100 :rule instantiate :premises (@p21) :args ((@list @t45 @t40))) % 203.18/203.92 (step @p101 :rule refl :args (@t77)) % 203.18/203.92 (step @p102 :rule eq-symm :args (@t78 @t37)) % 203.18/203.92 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t79 @t77))) % 203.18/203.92 (step @p104 :rule eq-symm :args (@t77 @t79)) % 203.18/203.92 (step @p105 :rule trans :premises (@p104 @p103)) % 203.18/203.92 (step @p106 :rule cong :premises (@p52 @p105) :args ((=> @t55 @t80))) % 203.18/203.92 (assume-push @p202 @t55) % 203.18/203.92 (step @p108 :rule instantiate :premises (@p46) :args ((@list @t36 @t40 @t37))) % 203.18/203.92 (step-pop @p203 :rule scope :premises (@p108)) % 203.18/203.92 (step @p109 :rule process_scope :premises (@p203) :args (@t80)) % 203.18/203.92 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 203.18/203.92 (step @p112 :rule implies_elim :premises (@p111)) % 203.18/203.92 (step @p113 :rule chain_m_resolution :premises (@p112 @p46) :args (@t82 @t48 @t59)) % 203.18/203.92 ; trust TRUST PREPROCESS_SORT_INFER % 203.18/203.92 (step @p114 :rule trust :premises () :args ((= @t24 (forall (@list @t83 @t84) (= (_ @t31 @t83 @t84) (tptp.set_union2 (_ @t32 @t83 @t84) (_ @t32 @t84 @t83))))))) % 203.18/203.92 (step @p115 :rule eq_resolve :premises (@p7 @p114)) % 203.18/203.92 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t35 @t34))) % 203.18/203.92 (step @p117 :rule cnf_equiv_pos1 :args (@t82)) % 203.18/203.92 (step @p118 :rule reordering :premises (@p117) :args ((or (not @t81) @t77 (not @t82)))) % 203.18/203.92 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p113) :args (@t77 @t60 (@list @t81 @t82))) % 203.18/203.92 (step @p120 :rule instantiate :premises (@p119) :args (@t88)) % 203.18/203.92 (step @p121 :rule instantiate :premises (@p21) :args ((@list @t45 @t37))) % 203.18/203.92 (step @p122 :rule bool-eq-true :args (@t89)) % 203.18/203.92 (step @p123 :rule eq-symm :args (true @t89)) % 203.18/203.92 (step @p124 :rule trans :premises (@p123 @p122)) % 203.18/203.92 (step @p125 :rule refl :args (@t89)) % 203.18/203.92 (step @p126 :rule eq-refl :args (@t38)) % 203.18/203.92 (step @p127 :rule cong :premises (@p126 @p125) :args (@t90)) % 203.18/203.92 (step @p128 :rule trans :premises (@p127 @p124)) % 203.18/203.92 (step @p129 :rule cong :premises (@p30 @p128) :args ((=> @t10 @t90))) % 203.18/203.92 (assume-push @p204 @t10) % 203.18/203.92 (step @p131 :rule instantiate :premises (@p4) :args ((@list @t37 @t38))) % 203.18/203.92 (step-pop @p205 :rule scope :premises (@p131)) % 203.18/203.92 (step @p132 :rule process_scope :premises (@p205) :args (@t90)) % 203.18/203.92 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 203.18/203.92 (step @p135 :rule implies_elim :premises (@p134)) % 203.18/203.92 (step @p136 :rule chain_m_resolution :premises (@p135 @p4) :args (@t89 @t48 @t49)) % 203.18/203.92 (step @p137 :rule instantiate :premises (@p136) :args (@t50)) % 203.18/203.92 (step @p138 :rule cnf_or_neg :args (@t68 1)) % 203.18/203.92 (step @p139 :rule chain_m_resolution :premises (@p138 @p73) :args ((not @t66) @t69 @t70)) % 203.18/203.92 (step @p140 :rule cnf_equiv_pos2 :args (@t92)) % 203.18/203.92 (step @p141 :rule reordering :premises (@p140) :args ((or @t66 @t93 (not @t92)))) % 203.18/203.92 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p137) :args (@t93 @t64 (@list @t66 @t92))) % 203.18/203.92 (step @p143 :rule cnf_equiv_pos2 :args (@t94)) % 203.18/203.92 (step @p144 :rule reordering :premises (@p143) :args ((or @t91 @t95 (not @t94)))) % 203.18/203.92 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p121) :args (@t95 @t64 (@list @t91 @t94))) % 203.18/203.92 (step @p146 :rule skolemize :premises (@p145)) % 203.18/203.92 (step @p147 :rule cnf_or_neg :args (@t99 1)) % 203.18/203.92 (step @p148 :rule chain_m_resolution :premises (@p147 @p146) :args ((not @t96) @t69 @t100)) % 203.18/203.92 (step @p149 :rule cnf_equiv_pos2 :args (@t104)) % 203.18/203.92 (step @p150 :rule reordering :premises (@p149) :args ((or @t96 @t105 (not @t104)))) % 203.18/203.92 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p120) :args (@t105 @t64 (@list @t96 @t104))) % 203.18/203.92 (step @p152 :rule cnf_or_neg :args (@t103 1)) % 203.18/203.92 (step @p153 :rule chain_m_resolution :premises (@p152 @p151) :args ((not @t101) @t69 @t106)) % 203.18/203.92 (step @p154 :rule bool-double-not-elim :args (@t97)) % 203.18/203.92 (step @p155 :rule refl :args (@t99)) % 203.18/203.92 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t99 (not @t98)))) % 203.18/203.92 (step @p157 :rule cnf_or_neg :args (@t99 0)) % 203.18/203.92 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 203.18/203.92 (step @p159 :rule reordering :premises (@p158) :args ((or @t97 @t99))) % 203.18/203.92 (step @p160 :rule chain_m_resolution :premises (@p159 @p146) :args (@t97 @t69 @t100)) % 203.18/203.92 (step @p161 :rule cnf_or_pos :args (@t107)) % 203.18/203.92 (step @p162 :rule reordering :premises (@p161) :args ((or @t98 @t101 @t108))) % 203.18/203.92 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p153) :args (@t108 @t109 (@list @t97 @t101))) % 203.18/203.92 (assume-push @p206 @t110) % 203.18/203.92 (step @p165 :rule instantiate :premises (@p206) :args (@t88)) % 203.18/203.92 (step-pop @p207 :rule scope :premises (@p165)) % 203.18/203.92 (step @p166 :rule process_scope :premises (@p207) :args (@t107)) % 203.18/203.92 (step @p168 :rule implies_elim :premises (@p166)) % 203.18/203.92 (step @p169 :rule chain_m_resolution :premises (@p168 @p163) :args ((not @t110) @t69 (@list @t107))) % 203.18/203.92 (step @p170 :rule cnf_equiv_pos1 :args (@t112)) % 203.18/203.92 (step @p171 :rule reordering :premises (@p170) :args ((or @t113 @t110 (not @t112)))) % 203.18/203.92 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p100) :args (@t113 @t64 (@list @t110 @t112))) % 203.18/203.92 (step @p173 :rule cnf_equiv_pos1 :args (@t114)) % 203.18/203.92 (step @p174 :rule reordering :premises (@p173) :args ((or @t111 @t115 (not @t114)))) % 203.18/203.92 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p99) :args (@t115 @t64 (@list @t111 @t114))) % 203.18/203.92 (step @p176 :rule cnf_or_pos :args (@t73)) % 203.18/203.92 (step @p177 :rule reordering :premises (@p176) :args ((or @t72 @t71 (not @t73)))) % 203.18/203.92 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p83) :args (@t71 @t64 (@list @t72 @t73))) % 203.18/203.92 (step @p179 :rule cnf_equiv_pos1 :args (@t117)) % 203.18/203.92 (step @p180 :rule reordering :premises (@p179) :args ((or (not @t71) @t116 (not @t117)))) % 203.18/203.92 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p39) :args (@t116 @t60 (@list @t71 @t117))) % 203.18/203.92 (step @p182 :rule cnf_equiv_pos1 :args (@t119)) % 203.18/203.92 (step @p183 :rule reordering :premises (@p182) :args ((or (not @t116) @t118 (not @t119)))) % 203.18/203.92 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p22) :args (@t118 @t60 (@list @t116 @t119))) % 203.18/203.92 (step @p185 :rule cnf_or_neg :args (@t103 0)) % 203.18/203.92 (step @p186 :rule chain_m_resolution :premises (@p185 @p151) :args ((not @t102) @t69 @t106)) % 203.18/203.92 (step @p187 :rule cnf_or_pos :args (@t120)) % 203.18/203.92 (step @p188 :rule reordering :premises (@p187) :args ((or @t98 @t102 @t121))) % 203.18/203.92 (step @p189 :rule chain_m_resolution :premises (@p188 @p160 @p186) :args (@t121 @t109 (@list @t97 @t102))) % 203.18/203.92 (assume-push @p208 @t118) % 203.18/203.92 (step @p191 :rule instantiate :premises (@p208) :args (@t88)) % 203.18/203.92 (step-pop @p209 :rule scope :premises (@p191)) % 203.18/203.92 (step @p192 :rule process_scope :premises (@p209) :args (@t120)) % 203.18/203.92 (step @p194 :rule implies_elim :premises (@p192)) % 203.18/203.92 (step @p195 false :rule chain_m_resolution :premises (@p194 @p189 @p184) :args (false @t64 (@list @t120 @t118))) % 203.18/203.92 ) % 203.18/203.92 % SZS output end Proof % 203.18/203.92 % cvc5 exiting %------------------------------------------------------------------------------