%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM411+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 : n004.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 08:39:19 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM411+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n004.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 11:16:52 EDT 2026 % 0.14/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.with_non_empty_elements (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.empty_set $$unsorted) % 0.37/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.transfinite_sequence_of (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.transfinite_sequence (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.58 (define @t4 () (@list @t1 @t2)) % 0.37/0.58 (define @t5 () (tptp.function @t1)) % 0.37/0.58 (define @t6 () (tptp.empty @t1)) % 0.37/0.58 (define @t7 () (@list @t1)) % 0.37/0.58 (define @t8 () (tptp.epsilon_connected @t1)) % 0.37/0.58 (define @t9 () (tptp.epsilon_transitive @t1)) % 0.37/0.58 (define @t10 () (and @t9 @t8)) % 0.37/0.58 (define @t11 () (tptp.ordinal @t1)) % 0.37/0.58 (define @t12 () (tptp.relation @t1)) % 0.37/0.58 (define @t13 () (tptp.one_to_one @t1)) % 0.37/0.58 (define @t14 () (and @t12 @t5 @t13)) % 0.37/0.58 (define @t15 () (and @t12 @t6 @t5)) % 0.37/0.58 (define @t16 () (and @t9 @t8 @t11)) % 0.37/0.58 (define @t17 () (tptp.transfinite_sequence_of @t2 @t1)) % 0.37/0.58 (define @t18 () (= @t17 (tptp.subset (tptp.relation_rng @t2) @t1))) % 0.37/0.58 (define @t19 () (tptp.transfinite_sequence @t2)) % 0.37/0.58 (define @t20 () (tptp.function @t2)) % 0.37/0.58 (define @t21 () (tptp.relation @t2)) % 0.37/0.58 (define @t22 () (and @t21 @t20 @t19)) % 0.37/0.58 (define @t23 () (forall @t4 (=> @t22 @t18))) % 0.37/0.58 (define @t24 () (forall @t4 (=> @t17 @t22))) % 0.37/0.58 (define @t25 () (@list @t2)) % 0.37/0.58 (define @t26 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.37/0.58 (define @t27 () (tptp.relation tptp.empty_set)) % 0.37/0.58 (define @t28 () (tptp.empty tptp.empty_set)) % 0.37/0.58 (define @t29 () (tptp.relation_rng @t1)) % 0.37/0.58 (define @t30 () (and @t12 (tptp.relation_non_empty @t1) @t5)) % 0.37/0.58 (define @t31 () (tptp.empty @t29)) % 0.37/0.58 (define @t32 () (not @t6)) % 0.37/0.58 (define @t33 () (and @t32 @t12)) % 0.37/0.58 (define @t34 () (tptp.relation_empty_yielding @t1)) % 0.37/0.58 (define @t35 () (tptp.element @t1 @t2)) % 0.37/0.58 (define @t36 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t37 () (tptp.subset @t1 @t36)) % 0.37/0.58 (define @t38 () (tptp.subset @t2 @t36)) % 0.37/0.58 (define @t39 () (tptp.subset @t1 @t2)) % 0.37/0.58 (define @t40 () (and @t39 @t38)) % 0.37/0.58 (define @t41 () (@list @t1 @t2 @t36)) % 0.37/0.58 (define @t42 () (forall @t41 (=> @t40 @t37))) % 0.37/0.58 (define @t43 () (tptp.empty @t2)) % 0.37/0.58 (define @t44 () (tptp.transfinite_sequence_of @t36 @t2)) % 0.37/0.58 (define @t45 () (tptp.transfinite_sequence_of @t36 @t1)) % 0.37/0.58 (define @t46 () (@list @t36)) % 0.37/0.58 (define @t47 () (forall @t46 (=> @t45 @t44))) % 0.37/0.58 (define @t48 () (=> @t39 @t47)) % 0.37/0.58 (define @t49 () (forall @t4 @t48)) % 0.37/0.58 (define @t50 () (not @t49)) % 0.37/0.58 (define @t51 () (tptp.element @t2 (tptp.powerset @t36))) % 0.37/0.58 (define @t52 () (not @t38)) % 0.37/0.58 (define @t53 () (not @t39)) % 0.37/0.58 (define @t54 () (or @t53 @t52 @t37)) % 0.37/0.58 (define @t55 () (not @t19)) % 0.37/0.58 (define @t56 () (not @t20)) % 0.37/0.58 (define @t57 () (not @t21)) % 0.37/0.58 (define @t58 () (or @t57 @t56 @t55)) % 0.37/0.58 (define @t59 () (@var "BOUND_VARIABLE_7764" $$unsorted)) % 0.37/0.58 (define @t60 () (tptp.transfinite_sequence_of @t59 @t2)) % 0.37/0.58 (define @t61 () (not (tptp.transfinite_sequence_of @t59 @t1))) % 0.37/0.58 (define @t62 () (or @t53 @t61 @t60)) % 0.37/0.58 (define @t63 () (@list @t1 @t2 @t59)) % 0.37/0.58 (define @t64 () (forall @t63 @t62)) % 0.37/0.58 (define @t65 () (@quantifiers_skolemize @t64 2)) % 0.37/0.58 (define @t66 () (@quantifiers_skolemize @t64 0)) % 0.37/0.58 (define @t67 () (@list @t66 @t65)) % 0.37/0.58 (define @t68 () (or @t61 @t60)) % 0.37/0.58 (define @t69 () (or @t53 @t68)) % 0.37/0.58 (define @t70 () (forall @t63 @t69)) % 0.37/0.58 (define @t71 () (@list @t59)) % 0.37/0.58 (define @t72 () (forall @t71 @t69)) % 0.37/0.58 (define @t73 () (forall @t71 @t68)) % 0.37/0.58 (define @t74 () (or @t53 @t73)) % 0.37/0.58 (define @t75 () (forall @t46 (or (not @t45) @t44))) % 0.37/0.58 (define @t76 () (tptp.transfinite_sequence_of @t65 @t66)) % 0.37/0.58 (define @t77 () (@quantifiers_skolemize @t64 1)) % 0.37/0.58 (define @t78 () (tptp.transfinite_sequence_of @t65 @t77)) % 0.37/0.58 (define @t79 () (not @t76)) % 0.37/0.58 (define @t80 () (tptp.subset @t66 @t77)) % 0.37/0.58 (define @t81 () (not @t80)) % 0.37/0.58 (define @t82 () (or @t81 @t79 @t78)) % 0.37/0.58 (define @t83 () (@list true)) % 0.37/0.58 (define @t84 () (@list @t82)) % 0.37/0.58 (define @t85 () (tptp.transfinite_sequence @t65)) % 0.37/0.58 (define @t86 () (tptp.function @t65)) % 0.37/0.58 (define @t87 () (tptp.relation @t65)) % 0.37/0.58 (define @t88 () (and @t87 @t86 @t85)) % 0.37/0.58 (define @t89 () (or @t79 @t88)) % 0.37/0.58 (define @t90 () (@list false false)) % 0.37/0.58 (define @t91 () (not @t88)) % 0.37/0.58 (define @t92 () (@list false)) % 0.37/0.58 (define @t93 () (@list @t88)) % 0.37/0.58 (define @t94 () (tptp.relation_rng @t65)) % 0.37/0.58 (define @t95 () (tptp.subset @t94 @t66)) % 0.37/0.58 (define @t96 () (= @t76 @t95)) % 0.37/0.58 (define @t97 () (not @t85)) % 0.37/0.58 (define @t98 () (not @t86)) % 0.37/0.58 (define @t99 () (not @t87)) % 0.37/0.58 (define @t100 () (or @t99 @t98 @t97 @t96)) % 0.37/0.58 (define @t101 () (@list false false false false)) % 0.37/0.58 (define @t102 () (tptp.subset @t94 @t77)) % 0.37/0.58 (define @t103 () (= @t78 @t102)) % 0.37/0.58 (define @t104 () (or @t99 @t98 @t97 @t103)) % 0.37/0.58 (define @t105 () (not @t102)) % 0.37/0.58 (define @t106 () (@list true false)) % 0.37/0.58 (define @t107 () (not @t95)) % 0.37/0.58 (define @t108 () (or @t107 @t81 @t102)) % 0.37/0.58 (define @t109 () (not @t108)) % 0.37/0.58 (define @t110 () (forall @t41 @t54)) % 0.37/0.58 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.37/0.58 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.37/0.58 (assume @p3 (forall @t7 (=> @t11 @t10))) % 0.37/0.58 (assume @p4 (forall @t7 (=> @t6 @t12))) % 0.37/0.58 (assume @p5 (forall @t7 (=> @t15 @t14))) % 0.37/0.58 (assume @p6 (forall @t7 (=> @t10 @t11))) % 0.37/0.58 (assume @p7 (forall @t7 (=> @t6 @t16))) % 0.37/0.58 (assume @p8 @t23) % 0.37/0.58 (assume @p9 @t24) % 0.37/0.58 (assume @p10 (forall @t7 (exists @t25 @t17))) % 0.37/0.58 (assume @p11 (forall @t7 (exists @t25 (tptp.element @t2 @t1)))) % 0.37/0.58 (assume @p12 (and @t28 @t27 @t26)) % 0.37/0.58 (assume @p13 @t28) % 0.37/0.58 (assume @p14 (and @t27 @t26 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t28 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.37/0.58 (assume @p15 (and @t28 @t27)) % 0.37/0.58 (assume @p16 (forall @t7 (=> @t30 (tptp.with_non_empty_elements @t29)))) % 0.37/0.58 (assume @p17 (forall @t7 (=> @t33 (not @t31)))) % 0.37/0.58 (assume @p18 (forall @t7 (=> @t6 (and @t31 (tptp.relation @t29))))) % 0.37/0.58 (assume @p19 (exists @t7 (and @t12 @t5))) % 0.37/0.58 (assume @p20 (exists @t7 @t16)) % 0.37/0.58 (assume @p21 (exists @t7 (and @t6 @t12))) % 0.37/0.58 (assume @p22 (exists @t7 @t6)) % 0.37/0.58 (assume @p23 (exists @t7 @t15)) % 0.37/0.58 (assume @p24 (exists @t7 (and @t12 @t5 @t13 @t6 @t9 @t8 @t11))) % 0.37/0.58 (assume @p25 (exists @t7 @t33)) % 0.37/0.58 (assume @p26 (exists @t7 @t32)) % 0.37/0.58 (assume @p27 (exists @t7 @t14)) % 0.37/0.58 (assume @p28 (exists @t7 (and @t32 @t9 @t8 @t11))) % 0.37/0.58 (assume @p29 (exists @t7 (and @t12 @t34))) % 0.37/0.58 (assume @p30 (exists @t7 (and @t12 @t34 @t5))) % 0.37/0.58 (assume @p31 (exists @t7 (and @t12 @t5 (tptp.transfinite_sequence @t1)))) % 0.37/0.58 (assume @p32 (exists @t7 @t30)) % 0.37/0.58 (assume @p33 (forall @t4 (tptp.subset @t1 @t1))) % 0.37/0.58 (assume @p34 (forall @t4 (=> @t3 @t35))) % 0.37/0.58 (assume @p35 @t42) % 0.37/0.58 (assume @p36 (forall @t4 (=> @t35 (or @t43 @t3)))) % 0.37/0.58 (assume @p37 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t39))) % 0.37/0.58 (assume @p38 @t50) % 0.37/0.58 (assume @p39 (forall @t41 (=> (and @t3 @t51) (tptp.element @t1 @t36)))) % 0.37/0.58 (assume @p40 (forall @t41 (not (and @t3 @t51 (tptp.empty @t36))))) % 0.37/0.58 (assume @p41 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.37/0.58 (assume @p42 (forall @t4 (not (and @t3 @t43)))) % 0.37/0.58 (assume @p43 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t43)))) % 0.37/0.58 (assume @p44 true) % 0.37/0.58 (step @p45 :rule aci_norm :args ((= (or (or @t53 @t52) @t37) @t54))) % 0.37/0.58 (step @p46 :rule refl :args (@t37)) % 0.37/0.58 (step @p47 :rule bool-and-de-morgan :args (@t39 @t38 true)) % 0.37/0.58 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t40) @t37))) % 0.37/0.58 (step @p49 :rule trans :premises (@p48 @p45)) % 0.37/0.58 (step @p50 :rule bool-impl-elim :args (@t40 @t37)) % 0.37/0.58 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51) :args (@t42)) % 0.37/0.58 (step @p53 :rule eq_resolve :premises (@p35 @p52)) % 0.37/0.58 (step @p54 :rule aci_norm :args ((= (or @t58 @t18) (or @t57 @t56 @t55 @t18)))) % 0.37/0.58 (step @p55 :rule refl :args (@t18)) % 0.37/0.58 (step @p56 :rule aci_norm :args ((= (or @t57 (or @t56 @t55)) @t58))) % 0.37/0.58 (step @p57 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.37/0.58 (step @p58 :rule refl :args (@t57)) % 0.37/0.58 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t57 (not (and @t20 @t19))))) % 0.37/0.58 (step @p60 :rule bool-and-de-morgan :args (@t21 @t20 (and @t19))) % 0.37/0.58 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.58 (step @p62 :rule trans :premises (@p61 @p56)) % 0.37/0.58 (step @p63 :rule nary_cong :premises (@p62 @p55) :args ((or (not @t22) @t18))) % 0.37/0.58 (step @p64 :rule trans :premises (@p63 @p54)) % 0.37/0.58 (step @p65 :rule bool-impl-elim :args (@t22 @t18)) % 0.37/0.58 (step @p66 :rule trans :premises (@p65 @p64)) % 0.37/0.58 (step @p67 :rule cong :premises (@p66) :args (@t23)) % 0.37/0.58 (step @p68 :rule eq_resolve :premises (@p8 @p67)) % 0.37/0.58 (step @p69 :rule instantiate :premises (@p68) :args (@t67)) % 0.37/0.58 (step @p70 :rule bool-impl-elim :args (@t17 @t22)) % 0.37/0.58 (step @p71 :rule cong :premises (@p70) :args (@t24)) % 0.37/0.58 (step @p72 :rule eq_resolve :premises (@p9 @p71)) % 0.37/0.58 (step @p73 :rule instantiate :premises (@p72) :args (@t67)) % 0.37/0.58 (step @p74 :rule aci_norm :args ((= @t69 @t62))) % 0.37/0.58 (step @p75 :rule cong :premises (@p74) :args (@t70)) % 0.37/0.58 (step @p76 :rule quant-merge-prenex :args ((= (forall @t4 @t72) @t70))) % 0.37/0.58 (step @p77 :rule alpha_equiv :args (@t73 (@list @t59) (@list @t36))) % 0.37/0.58 (step @p78 :rule refl :args (@t53)) % 0.37/0.58 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t74)) % 0.37/0.58 (step @p80 :rule quant-miniscope-or :args ((= @t72 @t74))) % 0.37/0.58 (step @p81 :rule trans :premises (@p80 @p79)) % 0.37/0.58 (step @p82 :rule symm :premises (@p81)) % 0.37/0.58 (step @p83 :rule cong :premises (@p82) :args ((forall @t4 (or @t53 @t75)))) % 0.37/0.58 (step @p84 :rule trans :premises (@p83 @p76)) % 0.37/0.58 (step @p85 :rule trans :premises (@p84 @p75)) % 0.37/0.58 (step @p86 :rule bool-impl-elim :args (@t39 @t75)) % 0.37/0.58 (step @p87 :rule cong :premises (@p86) :args ((forall @t4 (=> @t39 @t75)))) % 0.37/0.58 (step @p88 :rule trans :premises (@p87 @p85)) % 0.37/0.58 (step @p89 :rule bool-impl-elim :args (@t45 @t44)) % 0.37/0.58 (step @p90 :rule cong :premises (@p89) :args (@t47)) % 0.37/0.58 (step @p91 :rule refl :args (@t39)) % 0.37/0.58 (step @p92 :rule cong :premises (@p91 @p90) :args (@t48)) % 0.37/0.58 (step @p93 :rule cong :premises (@p92) :args (@t49)) % 0.37/0.58 (step @p94 :rule trans :premises (@p93 @p88)) % 0.37/0.58 (step @p95 :rule cong :premises (@p94) :args (@t50)) % 0.37/0.58 (step @p96 :rule eq_resolve :premises (@p38 @p95)) % 0.37/0.58 (step @p97 :rule skolemize :premises (@p96)) % 0.37/0.58 (step @p98 :rule bool-double-not-elim :args (@t76)) % 0.37/0.58 (step @p99 :rule refl :args (@t82)) % 0.37/0.58 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t82 (not @t79)))) % 0.37/0.58 (step @p101 :rule cnf_or_neg :args (@t82 1)) % 0.37/0.58 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.37/0.58 (step @p103 :rule reordering :premises (@p102) :args ((or @t76 @t82))) % 0.37/0.58 (step @p104 :rule chain_m_resolution :premises (@p103 @p97) :args (@t76 @t83 @t84)) % 0.37/0.58 (step @p105 :rule cnf_or_pos :args (@t89)) % 0.37/0.58 (step @p106 :rule reordering :premises (@p105) :args ((or @t79 @t88 (not @t89)))) % 0.37/0.58 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p73) :args (@t88 @t90 (@list @t76 @t89))) % 0.37/0.58 (step @p108 :rule cnf_and_pos :args (@t88 2)) % 0.37/0.58 (step @p109 :rule reordering :premises (@p108) :args ((or @t85 @t91))) % 0.37/0.58 (step @p110 :rule chain_m_resolution :premises (@p109 @p107) :args (@t85 @t92 @t93)) % 0.37/0.58 (step @p111 :rule cnf_and_pos :args (@t88 1)) % 0.37/0.58 (step @p112 :rule reordering :premises (@p111) :args ((or @t86 @t91))) % 0.37/0.58 (step @p113 :rule chain_m_resolution :premises (@p112 @p107) :args (@t86 @t92 @t93)) % 0.37/0.58 (step @p114 :rule cnf_and_pos :args (@t88 0)) % 0.37/0.58 (step @p115 :rule reordering :premises (@p114) :args ((or @t87 @t91))) % 0.37/0.58 (step @p116 :rule chain_m_resolution :premises (@p115 @p107) :args (@t87 @t92 @t93)) % 0.37/0.58 (step @p117 :rule cnf_or_pos :args (@t100)) % 0.37/0.58 (step @p118 :rule reordering :premises (@p117) :args ((or @t99 @t98 @t97 @t96 (not @t100)))) % 0.37/0.58 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p113 @p110 @p69) :args (@t96 @t101 (@list @t87 @t86 @t85 @t100))) % 0.37/0.58 (step @p120 :rule cnf_equiv_pos1 :args (@t96)) % 0.37/0.58 (step @p121 :rule reordering :premises (@p120) :args ((or @t79 @t95 (not @t96)))) % 0.37/0.58 (step @p122 :rule chain_m_resolution :premises (@p121 @p104 @p119) :args (@t95 @t90 (@list @t76 @t96))) % 0.37/0.58 (step @p123 :rule instantiate :premises (@p68) :args ((@list @t77 @t65))) % 0.37/0.58 (step @p124 :rule cnf_or_pos :args (@t104)) % 0.37/0.58 (step @p125 :rule reordering :premises (@p124) :args ((or @t99 @t98 @t97 @t103 (not @t104)))) % 0.37/0.58 (step @p126 :rule chain_m_resolution :premises (@p125 @p116 @p113 @p110 @p123) :args (@t103 @t101 (@list @t87 @t86 @t85 @t104))) % 0.37/0.58 (step @p127 :rule cnf_or_neg :args (@t82 2)) % 0.37/0.58 (step @p128 :rule chain_m_resolution :premises (@p127 @p97) :args ((not @t78) @t83 @t84)) % 0.37/0.58 (step @p129 :rule cnf_equiv_pos2 :args (@t103)) % 0.37/0.58 (step @p130 :rule reordering :premises (@p129) :args ((or @t78 @t105 (not @t103)))) % 0.37/0.58 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p126) :args (@t105 @t106 (@list @t78 @t103))) % 0.37/0.58 (step @p132 :rule bool-double-not-elim :args (@t80)) % 0.37/0.58 (step @p133 :rule nary_cong :premises (@p99 @p132) :args ((or @t82 (not @t81)))) % 0.37/0.58 (step @p134 :rule cnf_or_neg :args (@t82 0)) % 0.37/0.58 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.37/0.58 (step @p136 :rule reordering :premises (@p135) :args ((or @t80 @t82))) % 0.37/0.58 (step @p137 :rule chain_m_resolution :premises (@p136 @p97) :args (@t80 @t83 @t84)) % 0.37/0.58 (step @p138 :rule cnf_or_pos :args (@t108)) % 0.37/0.58 (step @p139 :rule reordering :premises (@p138) :args ((or @t81 @t102 @t107 @t109))) % 0.37/0.58 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p131 @p122) :args (@t109 (@list false true false) (@list @t80 @t102 @t95))) % 0.37/0.58 (assume-push @p147 @t110) % 0.37/0.58 (step @p142 :rule instantiate :premises (@p53) :args ((@list @t94 @t66 @t77))) % 0.37/0.58 (step-pop @p148 :rule scope :premises (@p142)) % 0.37/0.58 (step @p143 :rule process_scope :premises (@p148) :args (@t108)) % 0.37/0.58 (step @p145 :rule implies_elim :premises (@p143)) % 0.37/0.58 (step @p146 false :rule chain_m_resolution :premises (@p145 @p140 @p53) :args (false @t106 (@list @t108 @t110))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------