%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU102+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:50:34 AM UTC 2026 % Result : Theorem 1.32s 1.51s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU102+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n005.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:29:18 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.32/1.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.51 % SZS status Theorem % 1.32/1.51 % SZS output start Proof % 1.32/1.51 ( % 1.32/1.51 (declare-sort $$unsorted 0) % 1.32/1.51 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.function (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.natural (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.32/1.51 (declare-const tptp.finite (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.51 (declare-const tptp.cap_closed (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.prebool_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.51 (declare-const tptp.empty_set $$unsorted) % 1.32/1.51 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.32/1.51 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.51 (define @t1 () (@var "A" $$unsorted)) % 1.32/1.51 (define @t2 () (@var "B" $$unsorted)) % 1.32/1.51 (define @t3 () (tptp.in @t1 @t2)) % 1.32/1.51 (define @t4 () (@list @t1 @t2)) % 1.32/1.51 (define @t5 () (tptp.finite @t1)) % 1.32/1.51 (define @t6 () (tptp.empty @t1)) % 1.32/1.51 (define @t7 () (@list @t1)) % 1.32/1.51 (define @t8 () (tptp.diff_closed @t1)) % 1.32/1.51 (define @t9 () (tptp.cup_closed @t1)) % 1.32/1.51 (define @t10 () (and @t9 @t8)) % 1.32/1.51 (define @t11 () (tptp.preboolean @t1)) % 1.32/1.51 (define @t12 () (tptp.finite @t2)) % 1.32/1.51 (define @t13 () (tptp.powerset @t1)) % 1.32/1.51 (define @t14 () (tptp.element @t2 @t13)) % 1.32/1.51 (define @t15 () (@list @t2)) % 1.32/1.51 (define @t16 () (tptp.set_intersection2 @t1 @t2)) % 1.32/1.51 (define @t17 () (@var "C" $$unsorted)) % 1.32/1.51 (define @t18 () (tptp.prebool_difference @t1 @t2 @t17)) % 1.32/1.51 (define @t19 () (tptp.element @t18 @t1)) % 1.32/1.51 (define @t20 () (tptp.element @t17 @t1)) % 1.32/1.51 (define @t21 () (tptp.element @t2 @t1)) % 1.32/1.51 (define @t22 () (not @t6)) % 1.32/1.51 (define @t23 () (and @t22 @t11 @t21 @t20)) % 1.32/1.51 (define @t24 () (@list @t1 @t2 @t17)) % 1.32/1.51 (define @t25 () (forall @t24 (=> @t23 @t19))) % 1.32/1.51 (define @t26 () (tptp.finite @t16)) % 1.32/1.51 (define @t27 () (tptp.set_difference @t1 @t2)) % 1.32/1.51 (define @t28 () (tptp.empty @t2)) % 1.32/1.51 (define @t29 () (not @t28)) % 1.32/1.51 (define @t30 () (= @t18 (tptp.set_difference @t2 @t17))) % 1.32/1.51 (define @t31 () (forall @t24 (=> @t23 @t30))) % 1.32/1.51 (define @t32 () (tptp.element @t16 @t17)) % 1.32/1.51 (define @t33 () (tptp.element @t2 @t17)) % 1.32/1.51 (define @t34 () (tptp.element @t1 @t17)) % 1.32/1.51 (define @t35 () (and @t34 @t33)) % 1.32/1.51 (define @t36 () (=> @t35 @t32)) % 1.32/1.51 (define @t37 () (tptp.preboolean @t17)) % 1.32/1.51 (define @t38 () (tptp.empty @t17)) % 1.32/1.51 (define @t39 () (not @t38)) % 1.32/1.51 (define @t40 () (and @t39 @t37)) % 1.32/1.51 (define @t41 () (forall @t24 (=> @t40 @t36))) % 1.32/1.51 (define @t42 () (not @t41)) % 1.32/1.51 (define @t43 () (tptp.element @t1 @t2)) % 1.32/1.51 (define @t44 () (tptp.set_difference @t1 @t27)) % 1.32/1.51 (define @t45 () (forall @t4 (= @t44 @t16))) % 1.32/1.51 (define @t46 () (tptp.element @t2 (tptp.powerset @t17))) % 1.32/1.51 (define @t47 () (not @t20)) % 1.32/1.51 (define @t48 () (not @t21)) % 1.32/1.51 (define @t49 () (not @t11)) % 1.32/1.51 (define @t50 () (or @t6 @t49 @t48 @t47)) % 1.32/1.51 (define @t51 () (not @t22)) % 1.32/1.51 (define @t52 () (or @t51 @t49 @t48 @t47)) % 1.32/1.51 (define @t53 () (not @t23)) % 1.32/1.51 (define @t54 () (not @t33)) % 1.32/1.51 (define @t55 () (not @t34)) % 1.32/1.51 (define @t56 () (not @t37)) % 1.32/1.51 (define @t57 () (or @t38 @t56 @t55 @t54 @t32)) % 1.32/1.51 (define @t58 () (forall @t24 @t57)) % 1.32/1.51 (define @t59 () (@quantifiers_skolemize @t58 1)) % 1.32/1.51 (define @t60 () (@quantifiers_skolemize @t58 0)) % 1.32/1.51 (define @t61 () (tptp.set_difference @t60 @t59)) % 1.32/1.51 (define @t62 () (@quantifiers_skolemize @t58 2)) % 1.32/1.51 (define @t63 () (@list @t62 @t60 @t61)) % 1.32/1.51 (define @t64 () (@list @t62 @t60 @t59)) % 1.32/1.51 (define @t65 () (or @t55 @t54 @t32)) % 1.32/1.51 (define @t66 () (tptp.element @t59 @t62)) % 1.32/1.51 (define @t67 () (tptp.element (tptp.set_intersection2 @t60 @t59) @t62)) % 1.32/1.51 (define @t68 () (not @t66)) % 1.32/1.51 (define @t69 () (tptp.element @t60 @t62)) % 1.32/1.51 (define @t70 () (not @t69)) % 1.32/1.51 (define @t71 () (tptp.preboolean @t62)) % 1.32/1.51 (define @t72 () (not @t71)) % 1.32/1.51 (define @t73 () (tptp.empty @t62)) % 1.32/1.51 (define @t74 () (or @t73 @t72 @t70 @t68 @t67)) % 1.32/1.51 (define @t75 () (@list true)) % 1.32/1.51 (define @t76 () (@list @t74)) % 1.32/1.51 (define @t77 () (tptp.prebool_difference @t62 @t60 @t59)) % 1.32/1.51 (define @t78 () (tptp.element @t77 @t62)) % 1.32/1.51 (define @t79 () (or @t73 @t72 @t70 @t68 @t78)) % 1.32/1.51 (define @t80 () (@list true false false false false)) % 1.32/1.51 (define @t81 () (or @t6 @t49 @t48 @t47 @t30)) % 1.32/1.51 (define @t82 () (or @t73 @t72 @t70 @t68 (= @t77 @t61))) % 1.32/1.51 (define @t83 () (forall @t24 @t81)) % 1.32/1.51 (define @t84 () (= @t61 @t77)) % 1.32/1.51 (define @t85 () (or @t73 @t72 @t70 @t68 @t84)) % 1.32/1.51 (define @t86 () (@list false)) % 1.32/1.51 (define @t87 () (@list @t83)) % 1.32/1.51 (define @t88 () (tptp.element @t61 @t62)) % 1.32/1.51 (define @t89 () (tptp.prebool_difference @t62 @t60 @t61)) % 1.32/1.51 (define @t90 () (tptp.element @t89 @t62)) % 1.32/1.51 (define @t91 () (not @t88)) % 1.32/1.51 (define @t92 () (or @t73 @t72 @t70 @t91 @t90)) % 1.32/1.51 (define @t93 () (tptp.set_difference @t60 @t61)) % 1.32/1.51 (define @t94 () (or @t73 @t72 @t70 @t91 (= @t89 @t93))) % 1.32/1.51 (define @t95 () (= @t93 @t89)) % 1.32/1.51 (define @t96 () (or @t73 @t72 @t70 @t91 @t95)) % 1.32/1.51 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 1.32/1.51 (assume @p2 (forall @t7 (=> @t6 @t5))) % 1.32/1.51 (assume @p3 (forall @t7 (=> @t11 @t10))) % 1.32/1.51 (assume @p4 (forall @t7 (=> @t5 (forall @t15 (=> @t14 @t12))))) % 1.32/1.51 (assume @p5 (forall @t7 (=> @t10 @t11))) % 1.32/1.51 (assume @p6 (forall @t4 (= @t16 (tptp.set_intersection2 @t2 @t1)))) % 1.32/1.51 (assume @p7 @t25) % 1.32/1.51 (assume @p8 (forall @t7 (exists @t15 @t21))) % 1.32/1.51 (assume @p9 (forall @t4 (=> @t12 @t26))) % 1.32/1.51 (assume @p10 (forall @t4 (=> @t5 @t26))) % 1.32/1.51 (assume @p11 (forall @t4 (=> @t5 (tptp.finite @t27)))) % 1.32/1.51 (assume @p12 (forall @t7 (not (tptp.empty @t13)))) % 1.32/1.51 (assume @p13 (tptp.empty tptp.empty_set)) % 1.32/1.51 (assume @p14 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.32/1.51 (assume @p15 (exists @t7 (and @t22 @t5))) % 1.32/1.51 (assume @p16 (exists @t7 (and @t22 @t9 (tptp.cap_closed @t1) @t8 @t11))) % 1.32/1.51 (assume @p17 (forall @t7 (=> @t22 (exists @t15 (and @t14 @t29))))) % 1.32/1.51 (assume @p18 (exists @t7 @t6)) % 1.32/1.51 (assume @p19 (forall @t7 (exists @t15 (and @t14 @t28 (tptp.relation @t2) (tptp.function @t2) (tptp.one_to_one @t2) (tptp.epsilon_transitive @t2) (tptp.epsilon_connected @t2) (tptp.ordinal @t2) (tptp.natural @t2) @t12)))) % 1.32/1.51 (assume @p20 (forall @t7 (exists @t15 (and @t14 @t28)))) % 1.32/1.51 (assume @p21 (exists @t7 @t22)) % 1.32/1.51 (assume @p22 (forall @t7 (=> @t22 (exists @t15 (and @t14 @t29 @t12))))) % 1.32/1.51 (assume @p23 @t31) % 1.32/1.51 (assume @p24 (forall @t4 (tptp.subset @t1 @t1))) % 1.32/1.51 (assume @p25 @t42) % 1.32/1.51 (assume @p26 (forall @t4 (=> @t3 @t43))) % 1.32/1.51 (assume @p27 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.32/1.51 (assume @p28 (forall @t4 (=> @t43 (or @t28 @t3)))) % 1.32/1.51 (assume @p29 (forall @t7 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 1.32/1.51 (assume @p30 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 1.32/1.51 (assume @p31 @t45) % 1.32/1.51 (assume @p32 (forall @t7 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 1.32/1.51 (assume @p33 (forall @t24 (=> (and @t3 @t46) @t34))) % 1.32/1.51 (assume @p34 (forall @t24 (not (and @t3 @t46 @t38)))) % 1.32/1.51 (assume @p35 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 1.32/1.51 (assume @p36 (forall @t4 (not (and @t3 @t28)))) % 1.32/1.51 (assume @p37 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t28)))) % 1.32/1.51 (assume @p38 true) % 1.32/1.51 (step @p39 :rule evaluate :args ((= false true))) % 1.32/1.51 (step @p40 :rule aci_norm :args ((= (or @t50 @t19) (or @t6 @t49 @t48 @t47 @t19)))) % 1.32/1.51 (step @p41 :rule refl :args (@t19)) % 1.32/1.51 (step @p42 :rule refl :args (@t47)) % 1.32/1.51 (step @p43 :rule refl :args (@t48)) % 1.32/1.51 (step @p44 :rule refl :args (@t49)) % 1.32/1.51 (step @p45 :rule bool-double-not-elim :args (@t6)) % 1.32/1.51 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43 @p42) :args (@t52)) % 1.32/1.51 (step @p47 :rule aci_norm :args ((= (or @t51 (or @t49 (or @t48 @t47))) @t52))) % 1.32/1.51 (step @p48 :rule trans :premises (@p47 @p46)) % 1.32/1.51 (step @p49 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 1.32/1.51 (step @p50 :rule nary_cong :premises (@p44 @p49) :args ((or @t49 (not (and @t21 @t20))))) % 1.32/1.51 (step @p51 :rule bool-and-de-morgan :args (@t11 @t21 (and @t20))) % 1.32/1.51 (step @p52 :rule trans :premises (@p51 @p50)) % 1.32/1.51 (step @p53 :rule refl :args (@t51)) % 1.32/1.51 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t51 (not (and @t11 @t21 @t20))))) % 1.32/1.51 (step @p55 :rule bool-and-de-morgan :args (@t22 @t11 (and @t21 @t20))) % 1.32/1.51 (step @p56 :rule trans :premises (@p55 @p54)) % 1.32/1.51 (step @p57 :rule trans :premises (@p56 @p48)) % 1.32/1.51 (step @p58 :rule nary_cong :premises (@p57 @p41) :args ((or @t53 @t19))) % 1.32/1.51 (step @p59 :rule trans :premises (@p58 @p40)) % 1.32/1.51 (step @p60 :rule bool-impl-elim :args (@t23 @t19)) % 1.32/1.51 (step @p61 :rule trans :premises (@p60 @p59)) % 1.32/1.51 (step @p62 :rule cong :premises (@p61) :args (@t25)) % 1.32/1.51 (step @p63 :rule eq_resolve :premises (@p7 @p62)) % 1.32/1.51 (step @p64 :rule instantiate :premises (@p63) :args (@t63)) % 1.32/1.51 (step @p65 :rule instantiate :premises (@p63) :args (@t64)) % 1.32/1.51 (step @p66 :rule aci_norm :args ((= (or (or @t38 @t56) @t65) @t57))) % 1.32/1.51 (step @p67 :rule aci_norm :args ((= (or (or @t55 @t54) @t32) @t65))) % 1.32/1.51 (step @p68 :rule refl :args (@t32)) % 1.32/1.51 (step @p69 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 1.32/1.51 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t35) @t32))) % 1.32/1.51 (step @p71 :rule trans :premises (@p70 @p67)) % 1.32/1.51 (step @p72 :rule bool-impl-elim :args (@t35 @t32)) % 1.32/1.51 (step @p73 :rule trans :premises (@p72 @p71)) % 1.32/1.51 (step @p74 :rule refl :args (@t56)) % 1.32/1.51 (step @p75 :rule bool-double-not-elim :args (@t38)) % 1.32/1.51 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t39) @t56))) % 1.32/1.51 (step @p77 :rule bool-and-de-morgan :args (@t39 @t37 true)) % 1.32/1.51 (step @p78 :rule trans :premises (@p77 @p76)) % 1.32/1.51 (step @p79 :rule nary_cong :premises (@p78 @p73) :args ((or (not @t40) @t36))) % 1.32/1.51 (step @p80 :rule trans :premises (@p79 @p66)) % 1.32/1.51 (step @p81 :rule bool-impl-elim :args (@t40 @t36)) % 1.32/1.51 (step @p82 :rule trans :premises (@p81 @p80)) % 1.32/1.51 (step @p83 :rule cong :premises (@p82) :args (@t41)) % 1.32/1.51 (step @p84 :rule cong :premises (@p83) :args (@t42)) % 1.32/1.51 (step @p85 :rule eq_resolve :premises (@p25 @p84)) % 1.32/1.51 (step @p86 :rule skolemize :premises (@p85)) % 1.32/1.51 (step @p87 :rule bool-double-not-elim :args (@t66)) % 1.32/1.51 (step @p88 :rule refl :args (@t74)) % 1.32/1.51 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t74 (not @t68)))) % 1.32/1.51 (step @p90 :rule cnf_or_neg :args (@t74 3)) % 1.32/1.51 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 1.32/1.51 (step @p92 :rule reordering :premises (@p91) :args ((or @t66 @t74))) % 1.32/1.51 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t66 @t75 @t76)) % 1.32/1.51 (step @p94 :rule bool-double-not-elim :args (@t69)) % 1.32/1.51 (step @p95 :rule nary_cong :premises (@p88 @p94) :args ((or @t74 (not @t70)))) % 1.32/1.51 (step @p96 :rule cnf_or_neg :args (@t74 2)) % 1.32/1.51 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 1.32/1.51 (step @p98 :rule reordering :premises (@p97) :args ((or @t69 @t74))) % 1.32/1.51 (step @p99 :rule chain_m_resolution :premises (@p98 @p86) :args (@t69 @t75 @t76)) % 1.32/1.51 (step @p100 :rule bool-double-not-elim :args (@t71)) % 1.32/1.51 (step @p101 :rule nary_cong :premises (@p88 @p100) :args ((or @t74 (not @t72)))) % 1.32/1.51 (step @p102 :rule cnf_or_neg :args (@t74 1)) % 1.32/1.51 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 1.32/1.51 (step @p104 :rule reordering :premises (@p103) :args ((or @t71 @t74))) % 1.32/1.51 (step @p105 :rule chain_m_resolution :premises (@p104 @p86) :args (@t71 @t75 @t76)) % 1.32/1.51 (step @p106 :rule cnf_or_neg :args (@t74 0)) % 1.32/1.51 (step @p107 :rule chain_m_resolution :premises (@p106 @p86) :args ((not @t73) @t75 @t76)) % 1.32/1.51 (step @p108 :rule cnf_or_pos :args (@t79)) % 1.32/1.51 (step @p109 :rule reordering :premises (@p108) :args ((or @t73 @t72 @t70 @t68 @t78 (not @t79)))) % 1.32/1.51 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p105 @p99 @p93 @p65) :args (@t78 @t80 (@list @t73 @t71 @t69 @t66 @t79))) % 1.32/1.51 (step @p111 :rule true_intro :premises (@p110)) % 1.32/1.51 (step @p112 :rule refl :args (@t62)) % 1.32/1.51 (step @p113 :rule aci_norm :args ((= (or @t50 @t30) @t81))) % 1.32/1.51 (step @p114 :rule refl :args (@t30)) % 1.32/1.51 (step @p115 :rule nary_cong :premises (@p57 @p114) :args ((or @t53 @t30))) % 1.32/1.51 (step @p116 :rule trans :premises (@p115 @p113)) % 1.32/1.51 (step @p117 :rule bool-impl-elim :args (@t23 @t30)) % 1.32/1.51 (step @p118 :rule trans :premises (@p117 @p116)) % 1.32/1.51 (step @p119 :rule cong :premises (@p118) :args (@t31)) % 1.32/1.51 (step @p120 :rule eq_resolve :premises (@p23 @p119)) % 1.32/1.51 (step @p121 :rule eq-symm :args (@t77 @t61)) % 1.32/1.51 (step @p122 :rule refl :args (@t68)) % 1.32/1.51 (step @p123 :rule refl :args (@t70)) % 1.32/1.51 (step @p124 :rule refl :args (@t72)) % 1.32/1.51 (step @p125 :rule refl :args (@t73)) % 1.32/1.51 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122 @p121) :args (@t82)) % 1.32/1.52 (step @p127 :rule refl :args (@t83)) % 1.32/1.52 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t83 @t82))) % 1.32/1.52 (assume-push @p172 @t83) % 1.32/1.52 (step @p130 :rule instantiate :premises (@p120) :args (@t64)) % 1.32/1.52 (step-pop @p173 :rule scope :premises (@p130)) % 1.32/1.52 (step @p131 :rule process_scope :premises (@p173) :args (@t82)) % 1.32/1.52 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 1.32/1.52 (step @p134 :rule implies_elim :premises (@p133)) % 1.32/1.52 (step @p135 :rule chain_m_resolution :premises (@p134 @p120) :args (@t85 @t86 @t87)) % 1.32/1.52 (step @p136 :rule cnf_or_pos :args (@t85)) % 1.32/1.52 (step @p137 :rule reordering :premises (@p136) :args ((or @t73 @t72 @t70 @t68 @t84 (not @t85)))) % 1.32/1.52 (step @p138 :rule chain_m_resolution :premises (@p137 @p107 @p105 @p99 @p93 @p135) :args (@t84 @t80 (@list @t73 @t71 @t69 @t66 @t85))) % 1.32/1.52 (step @p139 :rule cong :premises (@p138 @p112) :args (@t88)) % 1.32/1.52 (step @p140 :rule trans :premises (@p139 @p111)) % 1.32/1.52 (step @p141 :rule true_elim :premises (@p140)) % 1.32/1.52 (step @p142 :rule cnf_or_pos :args (@t92)) % 1.32/1.52 (step @p143 :rule reordering :premises (@p142) :args ((or @t73 @t72 @t70 @t91 @t90 (not @t92)))) % 1.32/1.52 (step @p144 :rule chain_m_resolution :premises (@p143 @p107 @p105 @p99 @p141 @p64) :args (@t90 @t80 (@list @t73 @t71 @t69 @t88 @t92))) % 1.32/1.52 (step @p145 :rule true_intro :premises (@p144)) % 1.32/1.52 (step @p146 :rule eq-symm :args (@t89 @t93)) % 1.32/1.52 (step @p147 :rule refl :args (@t91)) % 1.32/1.52 (step @p148 :rule nary_cong :premises (@p125 @p124 @p123 @p147 @p146) :args (@t94)) % 1.32/1.52 (step @p149 :rule cong :premises (@p127 @p148) :args ((=> @t83 @t94))) % 1.32/1.52 (assume-push @p174 @t83) % 1.32/1.52 (step @p151 :rule instantiate :premises (@p120) :args (@t63)) % 1.32/1.52 (step-pop @p175 :rule scope :premises (@p151)) % 1.32/1.52 (step @p152 :rule process_scope :premises (@p175) :args (@t94)) % 1.32/1.52 (step @p154 :rule eq_resolve :premises (@p152 @p149)) % 1.32/1.52 (step @p155 :rule implies_elim :premises (@p154)) % 1.32/1.52 (step @p156 :rule chain_m_resolution :premises (@p155 @p120) :args (@t96 @t86 @t87)) % 1.32/1.52 (step @p157 :rule cnf_or_pos :args (@t96)) % 1.32/1.52 (step @p158 :rule reordering :premises (@p157) :args ((or @t73 @t72 @t70 @t91 @t95 (not @t96)))) % 1.32/1.52 (step @p159 :rule chain_m_resolution :premises (@p158 @p107 @p105 @p99 @p141 @p156) :args (@t95 @t80 (@list @t73 @t71 @t69 @t88 @t96))) % 1.32/1.52 (step @p160 :rule eq-symm :args (@t44 @t16)) % 1.32/1.52 (step @p161 :rule cong :premises (@p160) :args (@t45)) % 1.32/1.52 (step @p162 :rule eq_resolve :premises (@p31 @p161)) % 1.32/1.52 (step @p163 :rule instantiate :premises (@p162) :args ((@list @t60 @t59))) % 1.32/1.52 (step @p164 :rule trans :premises (@p163 @p159)) % 1.32/1.52 (step @p165 :rule cong :premises (@p164 @p112) :args (@t67)) % 1.32/1.52 (step @p166 :rule cnf_or_neg :args (@t74 4)) % 1.32/1.52 (step @p167 :rule chain_m_resolution :premises (@p166 @p86) :args ((not @t67) @t75 @t76)) % 1.32/1.52 (step @p168 :rule false_intro :premises (@p167)) % 1.32/1.52 (step @p169 :rule symm :premises (@p168)) % 1.32/1.52 (step @p170 :rule trans :premises (@p169 @p165 @p145)) % 1.32/1.52 (step @p171 false :rule eq_resolve :premises (@p170 @p39)) % 1.32/1.52 ) % 1.32/1.52 % SZS output end Proof % 1.32/1.52 % cvc5 exiting %------------------------------------------------------------------------------