%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET706+4 : TPTP v9.2.1. Released v2.2.0. % 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 08:48:28 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET706+4 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:09:37 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.empty_set $$unsorted) % 0.37/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.57 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.57 (define @t6 () (@list @t2)) % 0.37/0.57 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.57 (define @t8 () (tptp.subset @t4 @t1)) % 0.37/0.57 (define @t9 () (= @t8 @t7)) % 0.37/0.57 (define @t10 () (@list @t4 @t1)) % 0.37/0.57 (define @t11 () (forall @t10 @t9)) % 0.37/0.57 (define @t12 () (tptp.subset @t1 @t4)) % 0.37/0.57 (define @t13 () (@list @t2 @t4)) % 0.37/0.57 (define @t14 () (@list @t2 @t4 @t1)) % 0.37/0.57 (define @t15 () (@var "E" $$unsorted)) % 0.37/0.57 (define @t16 () (= @t2 @t4)) % 0.37/0.57 (define @t17 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t18 () (tptp.member @t2 @t17)) % 0.37/0.57 (define @t19 () (tptp.member @t17 @t4)) % 0.37/0.57 (define @t20 () (@list @t17)) % 0.37/0.57 (define @t21 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t22 () (tptp.equal_set (tptp.difference @t4 @t21) (tptp.union (tptp.difference @t1 @t21) (tptp.difference @t4 @t1)))) % 0.37/0.57 (define @t23 () (tptp.subset @t21 @t1)) % 0.37/0.57 (define @t24 () (and @t23 @t12)) % 0.37/0.57 (define @t25 () (@list @t4 @t1 @t21)) % 0.37/0.57 (define @t26 () (forall @t25 (=> @t24 @t22))) % 0.37/0.57 (define @t27 () (not @t26)) % 0.37/0.57 (define @t28 () (not @t12)) % 0.37/0.57 (define @t29 () (not @t23)) % 0.37/0.57 (define @t30 () (or @t29 @t28 @t22)) % 0.37/0.57 (define @t31 () (forall @t25 @t30)) % 0.37/0.57 (define @t32 () (@quantifiers_skolemize @t31 0)) % 0.37/0.57 (define @t33 () (@quantifiers_skolemize @t31 1)) % 0.37/0.57 (define @t34 () (@quantifiers_skolemize @t31 2)) % 0.37/0.57 (define @t35 () (tptp.difference @t32 @t34)) % 0.37/0.57 (define @t36 () (tptp.member @t2 @t35)) % 0.37/0.57 (define @t37 () (tptp.difference @t32 @t33)) % 0.37/0.57 (define @t38 () (tptp.difference @t33 @t34)) % 0.37/0.57 (define @t39 () (tptp.union @t38 @t37)) % 0.37/0.57 (define @t40 () (tptp.member @t2 @t39)) % 0.37/0.57 (define @t41 () (forall @t6 (or (not @t40) @t36))) % 0.37/0.57 (define @t42 () (@quantifiers_skolemize @t41 0)) % 0.37/0.57 (define @t43 () (tptp.subset @t34 @t33)) % 0.37/0.57 (define @t44 () (tptp.equal_set @t35 @t39)) % 0.37/0.57 (define @t45 () (tptp.subset @t33 @t32)) % 0.37/0.57 (define @t46 () (not @t45)) % 0.37/0.57 (define @t47 () (not @t43)) % 0.37/0.57 (define @t48 () (or @t47 @t46 @t44)) % 0.37/0.57 (define @t49 () (@list true)) % 0.37/0.57 (define @t50 () (@list @t48)) % 0.37/0.57 (define @t51 () (tptp.member @t2 @t33)) % 0.37/0.57 (define @t52 () (forall @t6 (or (not (tptp.member @t2 @t34)) @t51))) % 0.37/0.57 (define @t53 () (= @t43 @t52)) % 0.37/0.57 (define @t54 () (@list false false)) % 0.37/0.57 (define @t55 () (@list @t42)) % 0.37/0.57 (define @t56 () (@list @t35 @t39)) % 0.37/0.57 (define @t57 () (forall @t6 (or (not @t36) @t40))) % 0.37/0.57 (define @t58 () (@quantifiers_skolemize @t57 0)) % 0.37/0.57 (define @t59 () (tptp.member @t58 @t39)) % 0.37/0.57 (define @t60 () (tptp.member @t58 @t35)) % 0.37/0.57 (define @t61 () (not @t60)) % 0.37/0.57 (define @t62 () (or @t61 @t59)) % 0.37/0.57 (define @t63 () (tptp.member @t58 @t34)) % 0.37/0.57 (define @t64 () (not @t63)) % 0.37/0.57 (define @t65 () (tptp.member @t58 @t32)) % 0.37/0.57 (define @t66 () (and @t65 @t64)) % 0.37/0.57 (define @t67 () (= @t60 @t66)) % 0.37/0.57 (define @t68 () (tptp.member @t58 @t37)) % 0.37/0.57 (define @t69 () (tptp.member @t58 @t38)) % 0.37/0.57 (define @t70 () (or @t69 @t68)) % 0.37/0.57 (define @t71 () (= @t59 @t70)) % 0.37/0.57 (define @t72 () (not @t66)) % 0.37/0.57 (define @t73 () (tptp.member @t58 @t33)) % 0.37/0.57 (define @t74 () (not @t73)) % 0.37/0.57 (define @t75 () (and @t73 @t64)) % 0.37/0.57 (define @t76 () (and @t65 @t74)) % 0.37/0.57 (define @t77 () (= @t68 @t76)) % 0.37/0.57 (define @t78 () (not @t65)) % 0.37/0.57 (define @t79 () (= @t69 @t75)) % 0.37/0.57 (define @t80 () (not @t62)) % 0.37/0.57 (define @t81 () (not @t57)) % 0.37/0.57 (define @t82 () (@list false)) % 0.37/0.57 (define @t83 () (tptp.subset @t35 @t39)) % 0.37/0.57 (define @t84 () (= @t83 @t57)) % 0.37/0.57 (define @t85 () (tptp.subset @t39 @t35)) % 0.37/0.57 (define @t86 () (and @t83 @t85)) % 0.37/0.57 (define @t87 () (= @t44 @t86)) % 0.37/0.57 (define @t88 () (not @t86)) % 0.37/0.57 (define @t89 () (@list true false)) % 0.37/0.57 (define @t90 () (= @t85 @t41)) % 0.37/0.57 (define @t91 () (not @t41)) % 0.37/0.57 (define @t92 () (tptp.member @t42 @t35)) % 0.37/0.57 (define @t93 () (tptp.member @t42 @t39)) % 0.37/0.57 (define @t94 () (not @t93)) % 0.37/0.57 (define @t95 () (or @t94 @t92)) % 0.37/0.57 (define @t96 () (not @t95)) % 0.37/0.57 (define @t97 () (@list @t95)) % 0.37/0.57 (define @t98 () (tptp.member @t42 @t37)) % 0.37/0.57 (define @t99 () (tptp.member @t42 @t38)) % 0.37/0.57 (define @t100 () (or @t99 @t98)) % 0.37/0.57 (define @t101 () (= @t93 @t100)) % 0.37/0.57 (define @t102 () (forall @t6 (or (not @t51) (tptp.member @t2 @t32)))) % 0.37/0.57 (define @t103 () (= @t45 @t102)) % 0.37/0.57 (define @t104 () (tptp.member @t42 @t32)) % 0.37/0.57 (define @t105 () (tptp.member @t42 @t33)) % 0.37/0.57 (define @t106 () (not @t105)) % 0.37/0.57 (define @t107 () (or @t106 @t104)) % 0.37/0.57 (define @t108 () (and @t104 @t106)) % 0.37/0.57 (define @t109 () (not @t108)) % 0.37/0.57 (define @t110 () (tptp.member @t42 @t34)) % 0.37/0.57 (define @t111 () (not @t110)) % 0.37/0.57 (define @t112 () (and @t105 @t111)) % 0.37/0.57 (define @t113 () (not @t112)) % 0.37/0.57 (define @t114 () (= @t98 @t108)) % 0.37/0.57 (define @t115 () (= @t99 @t112)) % 0.37/0.57 (define @t116 () (not @t99)) % 0.37/0.57 (define @t117 () (not @t100)) % 0.37/0.57 (define @t118 () (and @t104 @t111)) % 0.37/0.57 (define @t119 () (= @t92 @t118)) % 0.37/0.57 (define @t120 () (not @t118)) % 0.37/0.57 (define @t121 () (not @t104)) % 0.37/0.57 (define @t122 () (or @t111 @t105)) % 0.37/0.57 (assume @p1 @t11) % 0.37/0.57 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 @t12)))) % 0.37/0.57 (assume @p3 (forall @t13 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.37/0.57 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.37/0.57 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.37/0.57 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.37/0.57 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.37/0.57 (assume @p8 (forall @t13 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.37/0.57 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.37/0.57 (assume @p10 (forall @t13 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.37/0.57 (assume @p11 (forall @t13 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.37/0.57 (assume @p12 @t27) % 0.37/0.57 (assume @p13 true) % 0.37/0.57 (step @p14 :rule instantiate :premises (@p7) :args ((@list @t42 @t33 @t32))) % 0.37/0.57 (step @p15 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.57 (step @p16 :rule cong :premises (@p15) :args (@t7)) % 0.37/0.57 (step @p17 :rule refl :args (@t8)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args (@t9)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18) :args (@t11)) % 0.37/0.57 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.37/0.57 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t34 @t33))) % 0.37/0.57 (step @p22 :rule aci_norm :args ((= (or (or @t29 @t28) @t22) @t30))) % 0.37/0.57 (step @p23 :rule refl :args (@t22)) % 0.37/0.57 (step @p24 :rule bool-and-de-morgan :args (@t23 @t12 true)) % 0.37/0.57 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t24) @t22))) % 0.37/0.57 (step @p26 :rule trans :premises (@p25 @p22)) % 0.37/0.57 (step @p27 :rule bool-impl-elim :args (@t24 @t22)) % 0.37/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.57 (step @p29 :rule cong :premises (@p28) :args (@t26)) % 0.37/0.57 (step @p30 :rule cong :premises (@p29) :args (@t27)) % 0.37/0.57 (step @p31 :rule eq_resolve :premises (@p12 @p30)) % 0.37/0.57 (step @p32 :rule skolemize :premises (@p31)) % 0.37/0.57 (step @p33 :rule bool-double-not-elim :args (@t43)) % 0.37/0.57 (step @p34 :rule refl :args (@t48)) % 0.37/0.57 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t48 (not @t47)))) % 0.37/0.57 (step @p36 :rule cnf_or_neg :args (@t48 0)) % 0.37/0.57 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.37/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t43 @t48))) % 0.37/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p32) :args (@t43 @t49 @t50)) % 0.37/0.57 (step @p40 :rule cnf_equiv_pos1 :args (@t53)) % 0.37/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t47 @t52 (not @t53)))) % 0.37/0.57 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p21) :args (@t52 @t54 (@list @t43 @t53))) % 0.37/0.57 (step @p43 :rule instantiate :premises (@p42) :args (@t55)) % 0.37/0.57 (step @p44 :rule instantiate :premises (@p5) :args ((@list @t42 @t38 @t37))) % 0.37/0.57 (step @p45 :rule instantiate :premises (@p20) :args ((@list @t39 @t35))) % 0.37/0.57 (step @p46 :rule instantiate :premises (@p20) :args (@t56)) % 0.37/0.57 (step @p47 :rule cnf_or_neg :args (@t62 1)) % 0.37/0.57 (step @p48 :rule bool-double-not-elim :args (@t60)) % 0.37/0.57 (step @p49 :rule refl :args (@t62)) % 0.37/0.57 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t62 (not @t61)))) % 0.37/0.57 (step @p51 :rule cnf_or_neg :args (@t62 0)) % 0.37/0.57 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.37/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t60 @t62))) % 0.37/0.57 (step @p54 :rule instantiate :premises (@p7) :args ((@list @t58 @t34 @t32))) % 0.37/0.57 (step @p55 :rule cnf_equiv_pos1 :args (@t67)) % 0.37/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or @t61 @t66 (not @t67)))) % 0.37/0.57 (step @p57 :rule instantiate :premises (@p5) :args ((@list @t58 @t38 @t37))) % 0.37/0.57 (step @p58 :rule cnf_equiv_pos2 :args (@t71)) % 0.37/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t59 (not @t70) (not @t71)))) % 0.37/0.57 (step @p60 :rule cnf_and_pos :args (@t66 0)) % 0.37/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t65 @t72))) % 0.37/0.57 (step @p62 :rule cnf_and_pos :args (@t66 1)) % 0.37/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t64 @t72))) % 0.37/0.57 (step @p64 :rule cnf_or_neg :args (@t70 1)) % 0.37/0.57 (step @p65 :rule bool-double-not-elim :args (@t63)) % 0.37/0.57 (step @p66 :rule refl :args (@t74)) % 0.37/0.57 (step @p67 :rule refl :args (@t75)) % 0.37/0.57 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args ((or @t75 @t74 (not @t64)))) % 0.37/0.57 (step @p69 :rule cnf_and_neg :args (@t75)) % 0.37/0.57 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.37/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t63 @t74 @t75))) % 0.37/0.57 (step @p72 :rule instantiate :premises (@p7) :args ((@list @t58 @t33 @t32))) % 0.37/0.57 (step @p73 :rule cnf_equiv_pos2 :args (@t77)) % 0.37/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t68 (not @t76) (not @t77)))) % 0.37/0.57 (step @p75 :rule bool-double-not-elim :args (@t73)) % 0.37/0.57 (step @p76 :rule refl :args (@t78)) % 0.37/0.57 (step @p77 :rule refl :args (@t76)) % 0.37/0.57 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args ((or @t76 @t78 (not @t74)))) % 0.37/0.57 (step @p79 :rule cnf_and_neg :args (@t76)) % 0.37/0.57 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.37/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t78 @t73 @t76))) % 0.37/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p74 @p72 @p71 @p64 @p63 @p61 @p59 @p57 @p56 @p54 @p47 @p53) :args ((or @t62 @t75) (@list true false true true true false true false false false true false) (@list @t76 @t77 @t73 @t68 @t63 @t65 @t70 @t71 @t66 @t67 @t59 @t60))) % 0.37/0.57 (step @p83 :rule instantiate :premises (@p7) :args ((@list @t58 @t34 @t33))) % 0.37/0.57 (step @p84 :rule cnf_equiv_pos2 :args (@t79)) % 0.37/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t69 (not @t75) (not @t79)))) % 0.37/0.57 (step @p86 :rule cnf_or_neg :args (@t70 0)) % 0.37/0.57 (step @p87 :rule chain_m_resolution :premises (@p86 @p85 @p83 @p59 @p57 @p82 @p47) :args (@t62 (@list false false true false false true) (@list @t69 @t79 @t70 @t71 @t75 @t59))) % 0.37/0.57 (step @p88 :rule refl :args (@t80)) % 0.37/0.57 (step @p89 :rule bool-double-not-elim :args (@t57)) % 0.37/0.57 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t81) @t80))) % 0.37/0.57 (assume-push @p184 @t81) % 0.37/0.57 (step @p92 :rule skolemize :premises (@p184)) % 0.37/0.57 (step-pop @p185 :rule scope :premises (@p92)) % 0.37/0.57 (step @p93 :rule process_scope :premises (@p185) :args (@t80)) % 0.37/0.57 (step @p95 :rule implies_elim :premises (@p93)) % 0.37/0.57 (step @p96 :rule eq_resolve :premises (@p95 @p90)) % 0.37/0.57 (step @p97 :rule chain_m_resolution :premises (@p96 @p87) :args (@t57 @t82 (@list @t62))) % 0.37/0.57 (step @p98 :rule cnf_equiv_pos2 :args (@t84)) % 0.37/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t83 @t81 (not @t84)))) % 0.37/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p46) :args (@t83 @t54 (@list @t57 @t84))) % 0.37/0.57 (step @p101 :rule instantiate :premises (@p2) :args (@t56)) % 0.37/0.57 (step @p102 :rule cnf_or_neg :args (@t48 2)) % 0.37/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p32) :args ((not @t44) @t49 @t50)) % 0.37/0.57 (step @p104 :rule cnf_equiv_pos2 :args (@t87)) % 0.37/0.57 (step @p105 :rule reordering :premises (@p104) :args ((or @t44 @t88 (not @t87)))) % 0.37/0.57 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p101) :args (@t88 @t89 (@list @t44 @t87))) % 0.37/0.57 (step @p107 :rule cnf_and_neg :args (@t86)) % 0.37/0.57 (step @p108 :rule chain_m_resolution :premises (@p107 @p106 @p100) :args ((not @t85) @t89 (@list @t86 @t83))) % 0.37/0.57 (step @p109 :rule cnf_equiv_pos2 :args (@t90)) % 0.37/0.57 (step @p110 :rule reordering :premises (@p109) :args ((or @t85 @t91 (not @t90)))) % 0.37/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p45) :args (@t91 @t89 (@list @t85 @t90))) % 0.37/0.57 (step @p112 :rule refl :args (@t96)) % 0.37/0.57 (step @p113 :rule bool-double-not-elim :args (@t41)) % 0.37/0.57 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or (not @t91) @t96))) % 0.37/0.57 (assume-push @p186 @t91) % 0.37/0.57 (step @p116 :rule skolemize :premises (@p186)) % 0.37/0.57 (step-pop @p187 :rule scope :premises (@p116)) % 0.37/0.57 (step @p117 :rule process_scope :premises (@p187) :args (@t96)) % 0.37/0.57 (step @p119 :rule implies_elim :premises (@p117)) % 0.37/0.57 (step @p120 :rule eq_resolve :premises (@p119 @p114)) % 0.37/0.57 (step @p121 :rule chain_m_resolution :premises (@p120 @p111) :args (@t96 @t49 (@list @t41))) % 0.37/0.57 (step @p122 :rule bool-double-not-elim :args (@t93)) % 0.37/0.57 (step @p123 :rule refl :args (@t95)) % 0.37/0.57 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t95 (not @t94)))) % 0.37/0.57 (step @p125 :rule cnf_or_neg :args (@t95 0)) % 0.37/0.57 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 0.37/0.57 (step @p127 :rule reordering :premises (@p126) :args ((or @t93 @t95))) % 0.37/0.57 (step @p128 :rule chain_m_resolution :premises (@p127 @p121) :args (@t93 @t49 @t97)) % 0.37/0.57 (step @p129 :rule cnf_equiv_pos1 :args (@t101)) % 0.37/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or @t94 @t100 (not @t101)))) % 0.37/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p44) :args (@t100 @t54 (@list @t93 @t101))) % 0.37/0.57 (step @p132 :rule instantiate :premises (@p20) :args ((@list @t33 @t32))) % 0.37/0.57 (step @p133 :rule bool-double-not-elim :args (@t45)) % 0.37/0.57 (step @p134 :rule nary_cong :premises (@p34 @p133) :args ((or @t48 (not @t46)))) % 0.37/0.57 (step @p135 :rule cnf_or_neg :args (@t48 1)) % 0.37/0.57 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.37/0.57 (step @p137 :rule reordering :premises (@p136) :args ((or @t45 @t48))) % 0.37/0.57 (step @p138 :rule chain_m_resolution :premises (@p137 @p32) :args (@t45 @t49 @t50)) % 0.37/0.57 (step @p139 :rule cnf_equiv_pos1 :args (@t103)) % 0.37/0.57 (step @p140 :rule reordering :premises (@p139) :args ((or @t46 @t102 (not @t103)))) % 0.37/0.57 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p132) :args (@t102 @t54 (@list @t45 @t103))) % 0.37/0.57 (step @p142 :rule instantiate :premises (@p141) :args (@t55)) % 0.37/0.57 (step @p143 :rule cnf_or_pos :args (@t107)) % 0.37/0.57 (step @p144 :rule reordering :premises (@p143) :args ((or @t104 @t106 (not @t107)))) % 0.37/0.57 (step @p145 :rule cnf_and_pos :args (@t108 0)) % 0.37/0.57 (step @p146 :rule reordering :premises (@p145) :args ((or @t104 @t109))) % 0.37/0.57 (step @p147 :rule cnf_and_pos :args (@t112 0)) % 0.37/0.57 (step @p148 :rule reordering :premises (@p147) :args ((or @t105 @t113))) % 0.37/0.57 (step @p149 :rule cnf_equiv_pos1 :args (@t114)) % 0.37/0.57 (step @p150 :rule reordering :premises (@p149) :args ((or (not @t98) @t108 (not @t114)))) % 0.37/0.57 (step @p151 :rule instantiate :premises (@p7) :args ((@list @t42 @t34 @t33))) % 0.37/0.57 (step @p152 :rule cnf_equiv_pos1 :args (@t115)) % 0.37/0.57 (step @p153 :rule reordering :premises (@p152) :args ((or @t116 @t112 (not @t115)))) % 0.37/0.57 (step @p154 :rule cnf_or_pos :args (@t100)) % 0.37/0.57 (step @p155 :rule reordering :premises (@p154) :args ((or @t99 @t98 @t117))) % 0.37/0.57 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p151 @p150 @p14 @p148 @p146 @p144 @p142) :args ((or @t104 @t117) (@list true false true false true true true false) (@list @t99 @t115 @t98 @t114 @t112 @t108 @t105 @t107))) % 0.37/0.57 (step @p157 :rule chain_m_resolution :premises (@p156 @p131) :args (@t104 @t82 (@list @t100))) % 0.37/0.57 (step @p158 :rule instantiate :premises (@p7) :args ((@list @t42 @t34 @t32))) % 0.37/0.57 (step @p159 :rule cnf_or_neg :args (@t95 1)) % 0.37/0.57 (step @p160 :rule chain_m_resolution :premises (@p159 @p121) :args ((not @t92) @t49 @t97)) % 0.37/0.57 (step @p161 :rule cnf_equiv_pos2 :args (@t119)) % 0.37/0.57 (step @p162 :rule reordering :premises (@p161) :args ((or @t92 @t120 (not @t119)))) % 0.37/0.57 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p158) :args (@t120 @t89 (@list @t92 @t119))) % 0.37/0.57 (step @p164 :rule bool-double-not-elim :args (@t110)) % 0.37/0.57 (step @p165 :rule refl :args (@t121)) % 0.37/0.57 (step @p166 :rule refl :args (@t118)) % 0.37/0.58 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args ((or @t118 @t121 (not @t111)))) % 0.37/0.58 (step @p168 :rule cnf_and_neg :args (@t118)) % 0.37/0.58 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.37/0.58 (step @p170 :rule reordering :premises (@p169) :args ((or @t110 @t118 @t121))) % 0.37/0.58 (step @p171 :rule chain_m_resolution :premises (@p170 @p163 @p157) :args (@t110 @t89 (@list @t118 @t104))) % 0.37/0.58 (step @p172 :rule cnf_or_pos :args (@t122)) % 0.37/0.58 (step @p173 :rule reordering :premises (@p172) :args ((or @t111 @t105 (not @t122)))) % 0.37/0.58 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p43) :args (@t105 @t54 (@list @t110 @t122))) % 0.37/0.58 (step @p175 :rule cnf_and_pos :args (@t108 1)) % 0.37/0.58 (step @p176 :rule reordering :premises (@p175) :args ((or @t106 @t109))) % 0.37/0.58 (step @p177 :rule chain_m_resolution :premises (@p176 @p174) :args (@t109 @t82 (@list @t105))) % 0.37/0.58 (step @p178 :rule cnf_and_pos :args (@t112 1)) % 0.37/0.58 (step @p179 :rule reordering :premises (@p178) :args ((or @t111 @t113))) % 0.37/0.58 (step @p180 :rule chain_m_resolution :premises (@p179 @p171) :args (@t113 @t82 (@list @t110))) % 0.37/0.58 (step @p181 :rule chain_m_resolution :premises (@p153 @p180 @p151) :args (@t116 @t89 (@list @t112 @t115))) % 0.37/0.58 (step @p182 :rule chain_m_resolution :premises (@p155 @p181 @p131) :args (@t98 @t89 (@list @t99 @t100))) % 0.37/0.58 (step @p183 false :rule chain_m_resolution :premises (@p150 @p182 @p177 @p14) :args (false (@list false true false) (@list @t98 @t108 @t114))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------