%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU223+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:51:01 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU223+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.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 16:43:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.empty_set $$unsorted) % 0.38/0.62 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.62 (define @t2 () (tptp.relation @t1)) % 0.38/0.62 (define @t3 () (and @t2 (tptp.relation_empty_yielding @t1))) % 0.38/0.62 (define @t4 () (@list @t1)) % 0.38/0.62 (define @t5 () (@var "B" $$unsorted)) % 0.38/0.62 (define @t6 () (tptp.relation_dom_restriction @t1 @t5)) % 0.38/0.62 (define @t7 () (tptp.relation @t6)) % 0.38/0.62 (define @t8 () (@list @t1 @t5)) % 0.38/0.62 (define @t9 () (tptp.function @t1)) % 0.38/0.62 (define @t10 () (and @t2 @t9 (tptp.one_to_one @t1))) % 0.38/0.62 (define @t11 () (tptp.relation tptp.empty_set)) % 0.38/0.62 (define @t12 () (tptp.empty tptp.empty_set)) % 0.38/0.62 (define @t13 () (tptp.empty @t1)) % 0.38/0.62 (define @t14 () (and @t2 @t13 @t9)) % 0.38/0.62 (define @t15 () (not @t13)) % 0.38/0.62 (define @t16 () (and @t15 @t2)) % 0.38/0.62 (define @t17 () (tptp.relation_dom @t1)) % 0.38/0.62 (define @t18 () (tptp.empty @t17)) % 0.38/0.62 (define @t19 () (tptp.in @t1 @t5)) % 0.38/0.62 (define @t20 () (tptp.empty @t5)) % 0.38/0.62 (define @t21 () (tptp.element @t1 @t5)) % 0.38/0.62 (define @t22 () (tptp.set_intersection2 @t1 @t5)) % 0.38/0.62 (define @t23 () (forall @t8 (=> @t2 @t7))) % 0.38/0.62 (define @t24 () (and @t2 @t9)) % 0.38/0.62 (define @t25 () (and @t7 (tptp.function @t6))) % 0.38/0.62 (define @t26 () (forall @t8 (=> @t24 @t25))) % 0.38/0.62 (define @t27 () (tptp.relation @t5)) % 0.38/0.62 (define @t28 () (@var "C" $$unsorted)) % 0.38/0.62 (define @t29 () (tptp.relation_dom_restriction @t28 @t1)) % 0.38/0.62 (define @t30 () (= (tptp.apply @t29 @t5) (tptp.apply @t28 @t5))) % 0.38/0.62 (define @t31 () (tptp.in @t5 (tptp.relation_dom @t29))) % 0.38/0.62 (define @t32 () (=> @t31 @t30)) % 0.38/0.62 (define @t33 () (tptp.function @t28)) % 0.38/0.62 (define @t34 () (tptp.relation @t28)) % 0.38/0.62 (define @t35 () (and @t34 @t33)) % 0.38/0.62 (define @t36 () (@list @t1 @t5 @t28)) % 0.38/0.62 (define @t37 () (forall @t36 (=> @t35 @t32))) % 0.38/0.62 (define @t38 () (not @t37)) % 0.38/0.62 (define @t39 () (@var "D" $$unsorted)) % 0.38/0.62 (define @t40 () (tptp.apply @t5 @t39)) % 0.38/0.62 (define @t41 () (= @t40 (tptp.apply @t28 @t39))) % 0.38/0.62 (define @t42 () (tptp.relation_dom @t5)) % 0.38/0.62 (define @t43 () (tptp.in @t39 @t42)) % 0.38/0.62 (define @t44 () (@list @t39)) % 0.38/0.62 (define @t45 () (forall @t44 (=> @t43 @t41))) % 0.38/0.62 (define @t46 () (= @t42 (tptp.set_intersection2 (tptp.relation_dom @t28) @t1))) % 0.38/0.62 (define @t47 () (and @t46 @t45)) % 0.38/0.62 (define @t48 () (= @t5 @t29)) % 0.38/0.62 (define @t49 () (= @t48 @t47)) % 0.38/0.62 (define @t50 () (=> @t35 @t49)) % 0.38/0.62 (define @t51 () (@list @t28)) % 0.38/0.62 (define @t52 () (forall @t51 @t50)) % 0.38/0.62 (define @t53 () (tptp.function @t5)) % 0.38/0.62 (define @t54 () (and @t27 @t53)) % 0.38/0.62 (define @t55 () (=> @t54 @t52)) % 0.38/0.62 (define @t56 () (forall @t8 @t55)) % 0.38/0.62 (define @t57 () (@var "BOUND_VARIABLE_7702" $$unsorted)) % 0.38/0.62 (define @t58 () (not @t43)) % 0.38/0.62 (define @t59 () (= (= @t5 (tptp.relation_dom_restriction @t57 @t1)) (and (= @t42 (tptp.set_intersection2 (tptp.relation_dom @t57) @t1)) (forall @t44 (or @t58 (= @t40 (tptp.apply @t57 @t39))))))) % 0.38/0.62 (define @t60 () (not (tptp.function @t57))) % 0.38/0.62 (define @t61 () (not (tptp.relation @t57))) % 0.38/0.62 (define @t62 () (not @t53)) % 0.38/0.62 (define @t63 () (not @t27)) % 0.38/0.62 (define @t64 () (or @t63 @t62 @t61 @t60 @t59)) % 0.38/0.62 (define @t65 () (or @t61 @t60 @t59)) % 0.38/0.62 (define @t66 () (or @t63 @t62 @t65)) % 0.38/0.62 (define @t67 () (@list @t1 @t5 @t57)) % 0.38/0.62 (define @t68 () (forall @t67 @t66)) % 0.38/0.62 (define @t69 () (@list @t57)) % 0.38/0.62 (define @t70 () (forall @t69 @t66)) % 0.38/0.62 (define @t71 () (forall @t69 @t65)) % 0.38/0.62 (define @t72 () (or @t63 @t62 @t71)) % 0.38/0.62 (define @t73 () (= @t48 (and @t46 (forall @t44 (or @t58 @t41))))) % 0.38/0.62 (define @t74 () (not @t33)) % 0.38/0.62 (define @t75 () (not @t34)) % 0.38/0.62 (define @t76 () (or @t75 @t74 @t73)) % 0.38/0.62 (define @t77 () (forall @t51 @t76)) % 0.38/0.62 (define @t78 () (or @t63 @t62 @t77)) % 0.38/0.62 (define @t79 () (or @t75 @t74)) % 0.38/0.62 (define @t80 () (not @t35)) % 0.38/0.62 (define @t81 () (not @t31)) % 0.38/0.62 (define @t82 () (or @t75 @t74 @t81 @t30)) % 0.38/0.62 (define @t83 () (forall @t36 @t82)) % 0.38/0.62 (define @t84 () (@quantifiers_skolemize @t83 0)) % 0.38/0.62 (define @t85 () (@quantifiers_skolemize @t83 2)) % 0.38/0.62 (define @t86 () (tptp.relation_dom_restriction @t85 @t84)) % 0.38/0.62 (define @t87 () (tptp.apply @t86 @t39)) % 0.38/0.62 (define @t88 () (tptp.apply @t85 @t39)) % 0.38/0.62 (define @t89 () (tptp.relation_dom @t86)) % 0.38/0.62 (define @t90 () (not (tptp.in @t39 @t89))) % 0.38/0.62 (define @t91 () (forall @t44 (or @t90 (= @t88 @t87)))) % 0.38/0.62 (define @t92 () (= @t89 (tptp.set_intersection2 (tptp.relation_dom @t85) @t84))) % 0.38/0.62 (define @t93 () (and @t92 @t91)) % 0.38/0.62 (define @t94 () (or @t90 (= @t87 @t88))) % 0.38/0.62 (define @t95 () (forall @t44 @t94)) % 0.38/0.62 (define @t96 () (and @t92 @t95)) % 0.38/0.62 (define @t97 () (= (= @t86 @t86) @t96)) % 0.38/0.62 (define @t98 () (tptp.function @t85)) % 0.38/0.62 (define @t99 () (not @t98)) % 0.38/0.62 (define @t100 () (tptp.relation @t85)) % 0.38/0.62 (define @t101 () (not @t100)) % 0.38/0.62 (define @t102 () (tptp.function @t86)) % 0.38/0.62 (define @t103 () (not @t102)) % 0.38/0.63 (define @t104 () (tptp.relation @t86)) % 0.38/0.63 (define @t105 () (not @t104)) % 0.38/0.63 (define @t106 () (or @t105 @t103 @t101 @t99 @t97)) % 0.38/0.63 (define @t107 () (forall @t67 @t64)) % 0.38/0.63 (define @t108 () (or @t105 @t103 @t101 @t99 @t93)) % 0.38/0.63 (define @t109 () (@list false)) % 0.38/0.63 (define @t110 () (not @t9)) % 0.38/0.63 (define @t111 () (not @t2)) % 0.38/0.63 (define @t112 () (@list @t85 @t84)) % 0.38/0.63 (define @t113 () (@quantifiers_skolemize @t83 1)) % 0.38/0.63 (define @t114 () (tptp.apply @t85 @t113)) % 0.38/0.63 (define @t115 () (tptp.apply @t86 @t113)) % 0.38/0.63 (define @t116 () (= @t115 @t114)) % 0.38/0.63 (define @t117 () (tptp.in @t113 @t89)) % 0.38/0.63 (define @t118 () (not @t117)) % 0.38/0.63 (define @t119 () (or @t101 @t99 @t118 @t116)) % 0.38/0.63 (define @t120 () (@list true)) % 0.38/0.63 (define @t121 () (@list @t119)) % 0.38/0.63 (define @t122 () (and @t104 @t102)) % 0.38/0.63 (define @t123 () (or @t101 @t99 @t122)) % 0.38/0.63 (define @t124 () (or @t101 @t104)) % 0.38/0.63 (define @t125 () (or @t118 @t116)) % 0.38/0.63 (define @t126 () (not @t125)) % 0.38/0.63 (define @t127 () (or @t118 (= @t114 @t115))) % 0.38/0.63 (assume @p1 (exists @t4 @t3)) % 0.38/0.63 (assume @p2 (forall @t8 (=> @t3 (and @t7 (tptp.relation_empty_yielding @t6))))) % 0.38/0.63 (assume @p3 true) % 0.38/0.63 (assume @p4 (exists @t4 @t10)) % 0.38/0.63 (assume @p5 (and @t12 @t11)) % 0.38/0.63 (assume @p6 (and @t12 @t11 (tptp.relation_empty_yielding tptp.empty_set))) % 0.38/0.63 (assume @p7 @t12) % 0.38/0.63 (assume @p8 (forall @t4 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.38/0.63 (assume @p9 (forall @t4 (exists (@list @t5) (tptp.element @t5 @t1)))) % 0.38/0.63 (assume @p10 (forall @t4 (=> @t13 @t9))) % 0.38/0.63 (assume @p11 (exists @t4 @t14)) % 0.38/0.63 (assume @p12 (forall @t4 (=> @t14 @t10))) % 0.38/0.63 (assume @p13 (exists @t4 (and @t13 @t2))) % 0.38/0.63 (assume @p14 (forall @t4 (=> @t13 @t2))) % 0.38/0.63 (assume @p15 (exists @t4 @t16)) % 0.38/0.63 (assume @p16 (forall @t4 (=> @t16 (not @t18)))) % 0.38/0.63 (assume @p17 (forall @t4 (=> @t13 (and @t18 (tptp.relation @t17))))) % 0.38/0.63 (assume @p18 (exists @t4 @t13)) % 0.38/0.63 (assume @p19 (exists @t4 @t15)) % 0.38/0.63 (assume @p20 (forall @t8 (=> @t21 (or @t20 @t19)))) % 0.38/0.63 (assume @p21 (forall @t4 (=> @t13 (= @t1 tptp.empty_set)))) % 0.38/0.63 (assume @p22 (forall @t8 (not (and @t13 (not (= @t1 @t5)) @t20)))) % 0.38/0.63 (assume @p23 (forall @t8 (= @t22 (tptp.set_intersection2 @t5 @t1)))) % 0.38/0.63 (assume @p24 (forall @t8 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.38/0.63 (assume @p25 (forall @t8 (=> @t19 (not (tptp.in @t5 @t1))))) % 0.38/0.63 (assume @p26 @t23) % 0.38/0.63 (assume @p27 (exists @t4 @t24)) % 0.38/0.63 (assume @p28 @t26) % 0.38/0.63 (assume @p29 (forall @t8 (=> (and @t2 @t27) (tptp.relation @t22)))) % 0.38/0.63 (assume @p30 (forall @t8 (=> @t19 @t21))) % 0.38/0.63 (assume @p31 (forall @t8 (not (and @t19 @t20)))) % 0.38/0.63 (assume @p32 @t38) % 0.38/0.63 (assume @p33 @t56) % 0.38/0.63 (step @p34 :rule aci_norm :args ((= @t66 @t64))) % 0.38/0.63 (step @p35 :rule cong :premises (@p34) :args (@t68)) % 0.38/0.63 (step @p36 :rule quant-merge-prenex :args ((= (forall @t8 @t70) @t68))) % 0.38/0.63 (step @p37 :rule alpha_equiv :args (@t71 (@list @t57) (@list @t28))) % 0.38/0.63 (step @p38 :rule refl :args (@t62)) % 0.38/0.63 (step @p39 :rule refl :args (@t63)) % 0.38/0.63 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t72)) % 0.38/0.63 (step @p41 :rule quant-miniscope-or :args ((= @t70 @t72))) % 0.38/0.63 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.63 (step @p43 :rule symm :premises (@p42)) % 0.38/0.63 (step @p44 :rule cong :premises (@p43) :args ((forall @t8 @t78))) % 0.38/0.63 (step @p45 :rule trans :premises (@p44 @p36)) % 0.38/0.63 (step @p46 :rule trans :premises (@p45 @p35)) % 0.38/0.63 (step @p47 :rule aci_norm :args ((= (or (or @t63 @t62) @t77) @t78))) % 0.38/0.63 (step @p48 :rule refl :args (@t77)) % 0.38/0.63 (step @p49 :rule bool-and-de-morgan :args (@t27 @t53 true)) % 0.38/0.63 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t54) @t77))) % 0.38/0.63 (step @p51 :rule trans :premises (@p50 @p47)) % 0.38/0.63 (step @p52 :rule bool-impl-elim :args (@t54 @t77)) % 0.38/0.63 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.63 (step @p54 :rule cong :premises (@p53) :args ((forall @t8 (=> @t54 @t77)))) % 0.38/0.63 (step @p55 :rule trans :premises (@p54 @p46)) % 0.38/0.63 (step @p56 :rule aci_norm :args ((= (or @t79 @t73) @t76))) % 0.38/0.63 (step @p57 :rule refl :args (@t73)) % 0.38/0.63 (step @p58 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 0.38/0.63 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t80 @t73))) % 0.38/0.63 (step @p60 :rule trans :premises (@p59 @p56)) % 0.38/0.63 (step @p61 :rule bool-impl-elim :args (@t35 @t73)) % 0.38/0.63 (step @p62 :rule trans :premises (@p61 @p60)) % 0.38/0.63 (step @p63 :rule cong :premises (@p62) :args ((forall @t51 (=> @t35 @t73)))) % 0.38/0.63 (step @p64 :rule bool-impl-elim :args (@t43 @t41)) % 0.38/0.63 (step @p65 :rule cong :premises (@p64) :args (@t45)) % 0.38/0.63 (step @p66 :rule refl :args (@t46)) % 0.38/0.63 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t47)) % 0.38/0.63 (step @p68 :rule refl :args (@t48)) % 0.38/0.63 (step @p69 :rule cong :premises (@p68 @p67) :args (@t49)) % 0.38/0.63 (step @p70 :rule refl :args (@t35)) % 0.38/0.63 (step @p71 :rule cong :premises (@p70 @p69) :args (@t50)) % 0.38/0.63 (step @p72 :rule cong :premises (@p71) :args (@t52)) % 0.38/0.63 (step @p73 :rule trans :premises (@p72 @p63)) % 0.38/0.63 (step @p74 :rule refl :args (@t54)) % 0.38/0.63 (step @p75 :rule cong :premises (@p74 @p73) :args (@t55)) % 0.38/0.63 (step @p76 :rule cong :premises (@p75) :args (@t56)) % 0.38/0.63 (step @p77 :rule trans :premises (@p76 @p55)) % 0.38/0.63 (step @p78 :rule eq_resolve :premises (@p33 @p77)) % 0.38/0.63 (step @p79 :rule bool-eq-true :args (@t93)) % 0.38/0.63 (step @p80 :rule eq-symm :args (true @t93)) % 0.38/0.63 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.63 (step @p82 :rule eq-symm :args (@t87 @t88)) % 0.38/0.63 (step @p83 :rule refl :args (@t90)) % 0.38/0.63 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t94)) % 0.38/0.63 (step @p85 :rule cong :premises (@p84) :args (@t95)) % 0.38/0.63 (step @p86 :rule refl :args (@t92)) % 0.38/0.63 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t96)) % 0.38/0.63 (step @p88 :rule eq-refl :args (@t86)) % 0.38/0.63 (step @p89 :rule cong :premises (@p88 @p87) :args (@t97)) % 0.38/0.63 (step @p90 :rule trans :premises (@p89 @p81)) % 0.38/0.63 (step @p91 :rule refl :args (@t99)) % 0.38/0.63 (step @p92 :rule refl :args (@t101)) % 0.38/0.63 (step @p93 :rule refl :args (@t103)) % 0.38/0.63 (step @p94 :rule refl :args (@t105)) % 0.38/0.63 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91 @p90) :args (@t106)) % 0.38/0.63 (step @p96 :rule refl :args (@t107)) % 0.38/0.63 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t107 @t106))) % 0.38/0.63 (assume-push @p180 @t107) % 0.38/0.63 (step @p99 :rule instantiate :premises (@p78) :args ((@list @t84 @t86 @t85))) % 0.38/0.63 (step-pop @p181 :rule scope :premises (@p99)) % 0.38/0.63 (step @p100 :rule process_scope :premises (@p181) :args (@t106)) % 0.38/0.63 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.38/0.63 (step @p103 :rule implies_elim :premises (@p102)) % 0.38/0.63 (step @p104 :rule chain_m_resolution :premises (@p103 @p78) :args (@t108 @t109 (@list @t107))) % 0.38/0.63 (step @p105 :rule aci_norm :args ((= (or (or @t111 @t110) @t25) (or @t111 @t110 @t25)))) % 0.38/0.63 (step @p106 :rule refl :args (@t25)) % 0.38/0.63 (step @p107 :rule bool-and-de-morgan :args (@t2 @t9 true)) % 0.38/0.63 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t24) @t25))) % 0.38/0.63 (step @p109 :rule trans :premises (@p108 @p105)) % 0.38/0.63 (step @p110 :rule bool-impl-elim :args (@t24 @t25)) % 0.38/0.63 (step @p111 :rule trans :premises (@p110 @p109)) % 0.38/0.63 (step @p112 :rule cong :premises (@p111) :args (@t26)) % 0.38/0.63 (step @p113 :rule eq_resolve :premises (@p28 @p112)) % 0.38/0.63 (step @p114 :rule instantiate :premises (@p113) :args (@t112)) % 0.38/0.63 (step @p115 :rule aci_norm :args ((= (or @t79 (or @t81 @t30)) @t82))) % 0.38/0.63 (step @p116 :rule bool-impl-elim :args (@t31 @t30)) % 0.38/0.63 (step @p117 :rule nary_cong :premises (@p58 @p116) :args ((or @t80 @t32))) % 0.38/0.63 (step @p118 :rule trans :premises (@p117 @p115)) % 0.38/0.63 (step @p119 :rule bool-impl-elim :args (@t35 @t32)) % 0.38/0.63 (step @p120 :rule trans :premises (@p119 @p118)) % 0.38/0.63 (step @p121 :rule cong :premises (@p120) :args (@t37)) % 0.38/0.63 (step @p122 :rule cong :premises (@p121) :args (@t38)) % 0.38/0.63 (step @p123 :rule eq_resolve :premises (@p32 @p122)) % 0.36/0.63 (step @p124 :rule skolemize :premises (@p123)) % 0.36/0.63 (step @p125 :rule bool-double-not-elim :args (@t98)) % 0.36/0.63 (step @p126 :rule refl :args (@t119)) % 0.36/0.63 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t119 (not @t99)))) % 0.36/0.63 (step @p128 :rule cnf_or_neg :args (@t119 1)) % 0.36/0.63 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.36/0.63 (step @p130 :rule reordering :premises (@p129) :args ((or @t98 @t119))) % 0.36/0.63 (step @p131 :rule chain_m_resolution :premises (@p130 @p124) :args (@t98 @t120 @t121)) % 0.36/0.63 (step @p132 :rule bool-double-not-elim :args (@t100)) % 0.36/0.63 (step @p133 :rule nary_cong :premises (@p126 @p132) :args ((or @t119 (not @t101)))) % 0.36/0.63 (step @p134 :rule cnf_or_neg :args (@t119 0)) % 0.36/0.63 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.36/0.63 (step @p136 :rule reordering :premises (@p135) :args ((or @t100 @t119))) % 0.36/0.63 (step @p137 :rule chain_m_resolution :premises (@p136 @p124) :args (@t100 @t120 @t121)) % 0.36/0.63 (step @p138 :rule cnf_or_pos :args (@t123)) % 0.36/0.63 (step @p139 :rule reordering :premises (@p138) :args ((or @t101 @t99 @t122 (not @t123)))) % 0.36/0.63 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p131 @p114) :args (@t122 (@list false false false) (@list @t100 @t98 @t123))) % 0.36/0.63 (step @p141 :rule cnf_and_pos :args (@t122 1)) % 0.36/0.63 (step @p142 :rule reordering :premises (@p141) :args ((or @t102 (not @t122)))) % 0.36/0.63 (step @p143 :rule chain_m_resolution :premises (@p142 @p140) :args (@t102 @t109 (@list @t122))) % 0.36/0.63 (step @p144 :rule bool-impl-elim :args (@t2 @t7)) % 0.36/0.63 (step @p145 :rule cong :premises (@p144) :args (@t23)) % 0.36/0.63 (step @p146 :rule eq_resolve :premises (@p26 @p145)) % 0.36/0.63 (step @p147 :rule instantiate :premises (@p146) :args (@t112)) % 0.36/0.63 (step @p148 :rule cnf_or_pos :args (@t124)) % 0.36/0.63 (step @p149 :rule reordering :premises (@p148) :args ((or @t101 @t104 (not @t124)))) % 0.36/0.63 (step @p150 :rule chain_m_resolution :premises (@p149 @p137 @p147) :args (@t104 (@list false false) (@list @t100 @t124))) % 0.36/0.63 (step @p151 :rule cnf_or_pos :args (@t108)) % 0.36/0.63 (step @p152 :rule reordering :premises (@p151) :args ((or @t101 @t99 @t105 @t103 @t93 (not @t108)))) % 0.36/0.63 (step @p153 :rule chain_m_resolution :premises (@p152 @p137 @p131 @p150 @p143 @p104) :args (@t93 (@list false false false false false) (@list @t100 @t98 @t104 @t102 @t108))) % 0.36/0.63 (step @p154 :rule cnf_and_pos :args (@t93 1)) % 0.36/0.63 (step @p155 :rule reordering :premises (@p154) :args ((or @t91 (not @t93)))) % 0.36/0.63 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t91 @t109 (@list @t93))) % 0.36/0.63 (step @p157 :rule cnf_or_neg :args (@t119 3)) % 0.36/0.63 (step @p158 :rule chain_m_resolution :premises (@p157 @p124) :args ((not @t116) @t120 @t121)) % 0.36/0.63 (step @p159 :rule bool-double-not-elim :args (@t117)) % 0.36/0.63 (step @p160 :rule nary_cong :premises (@p126 @p159) :args ((or @t119 (not @t118)))) % 0.36/0.63 (step @p161 :rule cnf_or_neg :args (@t119 2)) % 0.36/0.63 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.36/0.63 (step @p163 :rule reordering :premises (@p162) :args ((or @t117 @t119))) % 0.36/0.63 (step @p164 :rule chain_m_resolution :premises (@p163 @p124) :args (@t117 @t120 @t121)) % 0.36/0.63 (step @p165 :rule cnf_or_pos :args (@t125)) % 0.36/0.63 (step @p166 :rule reordering :premises (@p165) :args ((or @t118 @t116 @t126))) % 0.36/0.63 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p158) :args (@t126 (@list false true) (@list @t117 @t116))) % 0.36/0.63 (step @p168 :rule eq-symm :args (@t114 @t115)) % 0.36/0.63 (step @p169 :rule refl :args (@t118)) % 0.36/0.63 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t127)) % 0.36/0.63 (step @p171 :rule refl :args (@t91)) % 0.36/0.63 (step @p172 :rule cong :premises (@p171 @p170) :args ((=> @t91 @t127))) % 0.36/0.63 (assume-push @p182 @t91) % 0.36/0.63 (step @p174 :rule instantiate :premises (@p156) :args ((@list @t113))) % 0.36/0.63 (step-pop @p183 :rule scope :premises (@p174)) % 0.36/0.63 (step @p175 :rule process_scope :premises (@p183) :args (@t127)) % 0.36/0.63 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 0.36/0.63 (step @p178 :rule implies_elim :premises (@p177)) % 0.36/0.63 (step @p179 false :rule chain_m_resolution :premises (@p178 @p167 @p156) :args (false (@list true false) (@list @t125 @t91))) % 0.36/0.63 ) % 0.36/0.63 % SZS output end Proof % 0.36/0.63 % cvc5 exiting %------------------------------------------------------------------------------