%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU355+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:51:29 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU355+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.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 17:01:58 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.empty_set $$unsorted) % 0.38/0.58 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.58 (define @t4 () (@list @t1 @t2)) % 0.38/0.58 (define @t5 () (tptp.finite @t1)) % 0.38/0.58 (define @t6 () (tptp.empty @t1)) % 0.38/0.58 (define @t7 () (@list @t1)) % 0.38/0.58 (define @t8 () (@var "D" $$unsorted)) % 0.38/0.58 (define @t9 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t10 () (tptp.related @t1 @t9 @t8)) % 0.38/0.58 (define @t11 () (tptp.in @t8 @t2)) % 0.38/0.58 (define @t12 () (=> @t11 @t10)) % 0.38/0.58 (define @t13 () (tptp.the_carrier @t1)) % 0.38/0.58 (define @t14 () (tptp.element @t8 @t13)) % 0.38/0.58 (define @t15 () (@list @t8)) % 0.38/0.58 (define @t16 () (forall @t15 (=> @t14 @t12))) % 0.38/0.58 (define @t17 () (tptp.relstr_element_smaller @t1 @t2 @t9)) % 0.38/0.58 (define @t18 () (= @t17 @t16)) % 0.38/0.58 (define @t19 () (tptp.element @t9 @t13)) % 0.38/0.58 (define @t20 () (=> @t19 @t18)) % 0.38/0.58 (define @t21 () (@list @t2 @t9)) % 0.38/0.58 (define @t22 () (forall @t21 @t20)) % 0.38/0.58 (define @t23 () (tptp.rel_str @t1)) % 0.38/0.58 (define @t24 () (=> @t23 @t22)) % 0.38/0.58 (define @t25 () (forall @t7 @t24)) % 0.38/0.58 (define @t26 () (tptp.related @t1 @t8 @t9)) % 0.38/0.58 (define @t27 () (=> @t11 @t26)) % 0.38/0.58 (define @t28 () (forall @t15 (=> @t14 @t27))) % 0.38/0.58 (define @t29 () (tptp.relstr_set_smaller @t1 @t2 @t9)) % 0.38/0.58 (define @t30 () (= @t29 @t28)) % 0.38/0.58 (define @t31 () (=> @t19 @t30)) % 0.38/0.58 (define @t32 () (forall @t21 @t31)) % 0.38/0.58 (define @t33 () (=> @t23 @t32)) % 0.38/0.58 (define @t34 () (forall @t7 @t33)) % 0.38/0.58 (define @t35 () (tptp.one_sorted_str @t1)) % 0.38/0.58 (define @t36 () (@list @t2)) % 0.38/0.58 (define @t37 () (tptp.empty tptp.empty_set)) % 0.38/0.58 (define @t38 () (not @t6)) % 0.38/0.58 (define @t39 () (tptp.element @t1 @t2)) % 0.38/0.58 (define @t40 () (tptp.empty @t2)) % 0.38/0.58 (define @t41 () (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t2) (tptp.relstr_element_smaller @t1 tptp.empty_set @t2))) % 0.38/0.58 (define @t42 () (tptp.element @t2 @t13)) % 0.38/0.58 (define @t43 () (forall @t36 (=> @t42 @t41))) % 0.38/0.58 (define @t44 () (=> @t23 @t43)) % 0.38/0.58 (define @t45 () (forall @t7 @t44)) % 0.38/0.58 (define @t46 () (not @t45)) % 0.38/0.58 (define @t47 () (forall @t4 (not (and @t3 @t40)))) % 0.38/0.58 (define @t48 () (@var "BOUND_VARIABLE_7630" $$unsorted)) % 0.38/0.58 (define @t49 () (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t48) (tptp.relstr_element_smaller @t1 tptp.empty_set @t48))) % 0.38/0.58 (define @t50 () (not (tptp.element @t48 @t13))) % 0.38/0.58 (define @t51 () (not @t23)) % 0.38/0.58 (define @t52 () (or @t51 @t50 @t49)) % 0.38/0.58 (define @t53 () (or @t50 @t49)) % 0.38/0.58 (define @t54 () (or @t51 @t53)) % 0.38/0.58 (define @t55 () (@list @t1 @t48)) % 0.38/0.58 (define @t56 () (forall @t55 @t54)) % 0.38/0.58 (define @t57 () (@list @t48)) % 0.38/0.58 (define @t58 () (forall @t57 @t54)) % 0.38/0.58 (define @t59 () (forall @t57 @t53)) % 0.38/0.58 (define @t60 () (or @t51 @t59)) % 0.38/0.58 (define @t61 () (forall @t36 (or (not @t42) @t41))) % 0.38/0.58 (define @t62 () (forall @t55 @t52)) % 0.38/0.58 (define @t63 () (@quantifiers_skolemize @t62 1)) % 0.38/0.58 (define @t64 () (@quantifiers_skolemize @t62 0)) % 0.38/0.58 (define @t65 () (tptp.relstr_element_smaller @t64 tptp.empty_set @t63)) % 0.38/0.58 (define @t66 () (tptp.relstr_set_smaller @t64 tptp.empty_set @t63)) % 0.38/0.58 (define @t67 () (and @t66 @t65)) % 0.38/0.58 (define @t68 () (tptp.the_carrier @t64)) % 0.38/0.58 (define @t69 () (tptp.element @t63 @t68)) % 0.38/0.58 (define @t70 () (not @t69)) % 0.38/0.58 (define @t71 () (tptp.rel_str @t64)) % 0.38/0.58 (define @t72 () (not @t71)) % 0.38/0.58 (define @t73 () (or @t72 @t70 @t67)) % 0.38/0.58 (define @t74 () (@list true)) % 0.38/0.58 (define @t75 () (@list @t73)) % 0.38/0.58 (define @t76 () (@var "BOUND_VARIABLE_7563" $$unsorted)) % 0.38/0.58 (define @t77 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.38/0.58 (define @t78 () (not @t14)) % 0.38/0.58 (define @t79 () (= (tptp.relstr_set_smaller @t1 @t77 @t76) (forall @t15 (or @t78 (not (tptp.in @t8 @t77)) (tptp.related @t1 @t8 @t76))))) % 0.38/0.58 (define @t80 () (not (tptp.element @t76 @t13))) % 0.38/0.58 (define @t81 () (or @t80 @t79)) % 0.38/0.58 (define @t82 () (or @t51 @t81)) % 0.38/0.58 (define @t83 () (forall (@list @t1 @t77 @t76) @t82)) % 0.38/0.58 (define @t84 () (@list @t77 @t76)) % 0.38/0.58 (define @t85 () (forall @t84 @t82)) % 0.38/0.58 (define @t86 () (forall @t84 @t81)) % 0.38/0.58 (define @t87 () (@list @t2 @t9)) % 0.38/0.58 (define @t88 () (or @t51 @t86)) % 0.38/0.58 (define @t89 () (not @t11)) % 0.38/0.58 (define @t90 () (or @t78 @t89 @t26)) % 0.38/0.58 (define @t91 () (= @t29 (forall @t15 @t90))) % 0.38/0.58 (define @t92 () (not @t19)) % 0.38/0.58 (define @t93 () (forall @t21 (or @t92 @t91))) % 0.38/0.58 (define @t94 () (@list @t64 tptp.empty_set @t63)) % 0.38/0.58 (define @t95 () (not (tptp.in @t8 tptp.empty_set))) % 0.38/0.58 (define @t96 () (not (tptp.element @t8 @t68))) % 0.38/0.58 (define @t97 () (forall @t15 (or @t96 @t95 (tptp.related @t64 @t8 @t63)))) % 0.38/0.58 (define @t98 () (= @t66 @t97)) % 0.38/0.58 (define @t99 () (or @t72 @t70 @t98)) % 0.38/0.58 (define @t100 () (@list false false false)) % 0.38/0.58 (define @t101 () (@quantifiers_skolemize @t97 0)) % 0.38/0.58 (define @t102 () (not @t37)) % 0.38/0.58 (define @t103 () (tptp.in @t101 tptp.empty_set)) % 0.38/0.58 (define @t104 () (not @t103)) % 0.38/0.58 (define @t105 () (or @t104 @t102)) % 0.38/0.58 (define @t106 () (@list false false)) % 0.38/0.58 (define @t107 () (or (not (tptp.element @t101 @t68)) @t104 (tptp.related @t64 @t101 @t63))) % 0.38/0.58 (define @t108 () (not @t107)) % 0.38/0.58 (define @t109 () (not @t97)) % 0.38/0.58 (define @t110 () (@list false)) % 0.38/0.58 (define @t111 () (@var "BOUND_VARIABLE_7531" $$unsorted)) % 0.38/0.58 (define @t112 () (@var "BOUND_VARIABLE_7529" $$unsorted)) % 0.38/0.58 (define @t113 () (= (tptp.relstr_element_smaller @t1 @t112 @t111) (forall @t15 (or @t78 (not (tptp.in @t8 @t112)) (tptp.related @t1 @t111 @t8))))) % 0.38/0.58 (define @t114 () (not (tptp.element @t111 @t13))) % 0.38/0.58 (define @t115 () (or @t114 @t113)) % 0.38/0.58 (define @t116 () (or @t51 @t115)) % 0.38/0.58 (define @t117 () (forall (@list @t1 @t112 @t111) @t116)) % 0.38/0.58 (define @t118 () (@list @t112 @t111)) % 0.38/0.58 (define @t119 () (forall @t118 @t116)) % 0.38/0.58 (define @t120 () (forall @t118 @t115)) % 0.38/0.58 (define @t121 () (or @t51 @t120)) % 0.38/0.58 (define @t122 () (or @t78 @t89 @t10)) % 0.38/0.58 (define @t123 () (= @t17 (forall @t15 @t122))) % 0.38/0.58 (define @t124 () (forall @t21 (or @t92 @t123))) % 0.38/0.58 (define @t125 () (forall @t15 (or @t96 @t95 (tptp.related @t64 @t63 @t8)))) % 0.38/0.58 (define @t126 () (= @t65 @t125)) % 0.38/0.58 (define @t127 () (or @t72 @t70 @t126)) % 0.38/0.58 (define @t128 () (@quantifiers_skolemize @t125 0)) % 0.38/0.58 (define @t129 () (tptp.in @t128 tptp.empty_set)) % 0.38/0.58 (define @t130 () (not @t129)) % 0.38/0.58 (define @t131 () (or @t130 @t102)) % 0.38/0.58 (define @t132 () (or (not (tptp.element @t128 @t68)) @t130 (tptp.related @t64 @t63 @t128))) % 0.38/0.58 (define @t133 () (not @t132)) % 0.38/0.58 (define @t134 () (not @t125)) % 0.38/0.58 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.58 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.38/0.58 (assume @p3 @t25) % 0.38/0.58 (assume @p4 @t34) % 0.38/0.58 (assume @p5 true) % 0.38/0.58 (assume @p6 (forall @t7 (=> @t23 @t35))) % 0.38/0.58 (assume @p7 (exists @t7 @t23)) % 0.38/0.58 (assume @p8 (exists @t7 @t35)) % 0.38/0.58 (assume @p9 (forall @t7 (exists @t36 (tptp.element @t2 @t1)))) % 0.38/0.58 (assume @p10 @t37) % 0.38/0.58 (assume @p11 (exists @t7 (and @t38 @t5))) % 0.38/0.58 (assume @p12 (exists @t7 @t6)) % 0.38/0.58 (assume @p13 (exists @t7 @t38)) % 0.38/0.58 (assume @p14 (forall @t4 (=> @t3 @t39))) % 0.38/0.58 (assume @p15 (forall @t4 (=> @t39 (or @t40 @t3)))) % 0.38/0.58 (assume @p16 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.38/0.58 (assume @p17 @t46) % 0.38/0.58 (assume @p18 @t47) % 0.38/0.58 (assume @p19 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t40)))) % 0.38/0.58 (step @p20 :rule aci_norm :args ((= @t54 @t52))) % 0.38/0.58 (step @p21 :rule cong :premises (@p20) :args (@t56)) % 0.38/0.58 (step @p22 :rule quant-merge-prenex :args ((= (forall @t7 @t58) @t56))) % 0.38/0.58 (step @p23 :rule alpha_equiv :args (@t59 (@list @t48) (@list @t2))) % 0.38/0.58 (step @p24 :rule refl :args (@t51)) % 0.38/0.58 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t60)) % 0.38/0.58 (step @p26 :rule quant-miniscope-or :args ((= @t58 @t60))) % 0.38/0.58 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.58 (step @p28 :rule symm :premises (@p27)) % 0.38/0.58 (step @p29 :rule cong :premises (@p28) :args ((forall @t7 (or @t51 @t61)))) % 0.38/0.58 (step @p30 :rule trans :premises (@p29 @p22)) % 0.38/0.58 (step @p31 :rule trans :premises (@p30 @p21)) % 0.38/0.58 (step @p32 :rule bool-impl-elim :args (@t23 @t61)) % 0.38/0.58 (step @p33 :rule cong :premises (@p32) :args ((forall @t7 (=> @t23 @t61)))) % 0.38/0.58 (step @p34 :rule trans :premises (@p33 @p31)) % 0.38/0.58 (step @p35 :rule bool-impl-elim :args (@t42 @t41)) % 0.38/0.58 (step @p36 :rule cong :premises (@p35) :args (@t43)) % 0.38/0.58 (step @p37 :rule refl :args (@t23)) % 0.38/0.58 (step @p38 :rule cong :premises (@p37 @p36) :args (@t44)) % 0.38/0.58 (step @p39 :rule cong :premises (@p38) :args (@t45)) % 0.38/0.58 (step @p40 :rule trans :premises (@p39 @p34)) % 0.38/0.58 (step @p41 :rule cong :premises (@p40) :args (@t46)) % 0.38/0.58 (step @p42 :rule eq_resolve :premises (@p17 @p41)) % 0.38/0.58 (step @p43 :rule skolemize :premises (@p42)) % 0.38/0.58 (step @p44 :rule cnf_or_neg :args (@t73 2)) % 0.38/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p43) :args ((not @t67) @t74 @t75)) % 0.38/0.58 (step @p46 :rule aci_norm :args ((= @t82 (or @t51 @t80 @t79)))) % 0.38/0.58 (step @p47 :rule cong :premises (@p46) :args (@t83)) % 0.38/0.58 (step @p48 :rule quant-merge-prenex :args ((= (forall @t7 @t85) @t83))) % 0.38/0.58 (step @p49 :rule alpha_equiv :args (@t86 (@list @t77 @t76) @t87)) % 0.38/0.58 (step @p50 :rule nary_cong :premises (@p24 @p49) :args (@t88)) % 0.38/0.58 (step @p51 :rule quant-miniscope-or :args ((= @t85 @t88))) % 0.38/0.58 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.58 (step @p53 :rule symm :premises (@p52)) % 0.38/0.58 (step @p54 :rule cong :premises (@p53) :args ((forall @t7 (or @t51 @t93)))) % 0.38/0.58 (step @p55 :rule trans :premises (@p54 @p48)) % 0.38/0.58 (step @p56 :rule trans :premises (@p55 @p47)) % 0.38/0.58 (step @p57 :rule bool-impl-elim :args (@t23 @t93)) % 0.38/0.58 (step @p58 :rule cong :premises (@p57) :args ((forall @t7 (=> @t23 @t93)))) % 0.38/0.58 (step @p59 :rule trans :premises (@p58 @p56)) % 0.38/0.58 (step @p60 :rule bool-impl-elim :args (@t19 @t91)) % 0.38/0.58 (step @p61 :rule cong :premises (@p60) :args ((forall @t21 (=> @t19 @t91)))) % 0.38/0.58 (step @p62 :rule aci_norm :args ((= (or @t78 (or @t89 @t26)) @t90))) % 0.38/0.58 (step @p63 :rule bool-impl-elim :args (@t11 @t26)) % 0.38/0.58 (step @p64 :rule refl :args (@t78)) % 0.38/0.58 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t78 @t27))) % 0.38/0.58 (step @p66 :rule trans :premises (@p65 @p62)) % 0.38/0.58 (step @p67 :rule bool-impl-elim :args (@t14 @t27)) % 0.38/0.58 (step @p68 :rule trans :premises (@p67 @p66)) % 0.38/0.58 (step @p69 :rule cong :premises (@p68) :args (@t28)) % 0.38/0.58 (step @p70 :rule refl :args (@t29)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70 @p69) :args (@t30)) % 0.38/0.58 (step @p72 :rule refl :args (@t19)) % 0.38/0.58 (step @p73 :rule cong :premises (@p72 @p71) :args (@t31)) % 0.38/0.58 (step @p74 :rule cong :premises (@p73) :args (@t32)) % 0.38/0.58 (step @p75 :rule trans :premises (@p74 @p61)) % 0.38/0.58 (step @p76 :rule cong :premises (@p37 @p75) :args (@t33)) % 0.38/0.58 (step @p77 :rule cong :premises (@p76) :args (@t34)) % 0.38/0.58 (step @p78 :rule trans :premises (@p77 @p59)) % 0.38/0.58 (step @p79 :rule eq_resolve :premises (@p4 @p78)) % 0.38/0.58 (step @p80 :rule instantiate :premises (@p79) :args (@t94)) % 0.38/0.58 (step @p81 :rule bool-double-not-elim :args (@t69)) % 0.38/0.58 (step @p82 :rule refl :args (@t73)) % 0.38/0.58 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t73 (not @t70)))) % 0.38/0.58 (step @p84 :rule cnf_or_neg :args (@t73 1)) % 0.38/0.58 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.38/0.58 (step @p86 :rule reordering :premises (@p85) :args ((or @t69 @t73))) % 0.38/0.58 (step @p87 :rule chain_m_resolution :premises (@p86 @p43) :args (@t69 @t74 @t75)) % 0.38/0.58 (step @p88 :rule bool-double-not-elim :args (@t71)) % 0.38/0.58 (step @p89 :rule nary_cong :premises (@p82 @p88) :args ((or @t73 (not @t72)))) % 0.38/0.58 (step @p90 :rule cnf_or_neg :args (@t73 0)) % 0.38/0.58 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.38/0.58 (step @p92 :rule reordering :premises (@p91) :args ((or @t71 @t73))) % 0.38/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p43) :args (@t71 @t74 @t75)) % 0.38/0.58 (step @p94 :rule cnf_or_pos :args (@t99)) % 0.38/0.58 (step @p95 :rule reordering :premises (@p94) :args ((or @t72 @t70 @t98 (not @t99)))) % 0.38/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p87 @p80) :args (@t98 @t100 (@list @t71 @t69 @t99))) % 0.38/0.58 (step @p97 :rule bool-and-de-morgan :args (@t3 @t40 true)) % 0.38/0.58 (step @p98 :rule cong :premises (@p97) :args (@t47)) % 0.38/0.58 (step @p99 :rule eq_resolve :premises (@p18 @p98)) % 0.38/0.58 (step @p100 :rule instantiate :premises (@p99) :args ((@list @t101 tptp.empty_set))) % 0.38/0.58 (step @p101 :rule cnf_or_pos :args (@t105)) % 0.38/0.58 (step @p102 :rule reordering :premises (@p101) :args ((or @t102 @t104 (not @t105)))) % 0.38/0.58 (step @p103 :rule chain_m_resolution :premises (@p102 @p10 @p100) :args (@t104 @t106 (@list @t37 @t105))) % 0.38/0.58 (step @p104 :rule bool-double-not-elim :args (@t103)) % 0.38/0.58 (step @p105 :rule refl :args (@t107)) % 0.38/0.58 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t107 (not @t104)))) % 0.38/0.58 (step @p107 :rule cnf_or_neg :args (@t107 1)) % 0.38/0.58 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.38/0.58 (step @p109 :rule reordering :premises (@p108) :args ((or @t103 @t107))) % 0.38/0.58 (step @p110 :rule chain_m_resolution :premises (@p109 @p103) :args (@t107 @t74 (@list @t103))) % 0.38/0.58 (step @p111 :rule refl :args (@t108)) % 0.38/0.58 (step @p112 :rule bool-double-not-elim :args (@t97)) % 0.38/0.58 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or (not @t109) @t108))) % 0.38/0.58 (assume-push @p186 @t109) % 0.38/0.58 (step @p115 :rule skolemize :premises (@p186)) % 0.38/0.58 (step-pop @p187 :rule scope :premises (@p115)) % 0.38/0.58 (step @p116 :rule process_scope :premises (@p187) :args (@t108)) % 0.38/0.58 (step @p118 :rule implies_elim :premises (@p116)) % 0.38/0.58 (step @p119 :rule eq_resolve :premises (@p118 @p113)) % 0.38/0.58 (step @p120 :rule chain_m_resolution :premises (@p119 @p110) :args (@t97 @t110 (@list @t107))) % 0.38/0.58 (step @p121 :rule cnf_equiv_pos2 :args (@t98)) % 0.38/0.58 (step @p122 :rule reordering :premises (@p121) :args ((or @t66 @t109 (not @t98)))) % 0.38/0.58 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p96) :args (@t66 @t106 (@list @t97 @t98))) % 0.38/0.58 (step @p124 :rule aci_norm :args ((= @t116 (or @t51 @t114 @t113)))) % 0.38/0.58 (step @p125 :rule cong :premises (@p124) :args (@t117)) % 0.38/0.58 (step @p126 :rule quant-merge-prenex :args ((= (forall @t7 @t119) @t117))) % 0.38/0.58 (step @p127 :rule alpha_equiv :args (@t120 (@list @t112 @t111) @t87)) % 0.38/0.58 (step @p128 :rule nary_cong :premises (@p24 @p127) :args (@t121)) % 0.38/0.58 (step @p129 :rule quant-miniscope-or :args ((= @t119 @t121))) % 0.38/0.58 (step @p130 :rule trans :premises (@p129 @p128)) % 0.38/0.58 (step @p131 :rule symm :premises (@p130)) % 0.38/0.58 (step @p132 :rule cong :premises (@p131) :args ((forall @t7 (or @t51 @t124)))) % 0.38/0.58 (step @p133 :rule trans :premises (@p132 @p126)) % 0.38/0.58 (step @p134 :rule trans :premises (@p133 @p125)) % 0.38/0.58 (step @p135 :rule bool-impl-elim :args (@t23 @t124)) % 0.38/0.58 (step @p136 :rule cong :premises (@p135) :args ((forall @t7 (=> @t23 @t124)))) % 0.38/0.58 (step @p137 :rule trans :premises (@p136 @p134)) % 0.38/0.58 (step @p138 :rule bool-impl-elim :args (@t19 @t123)) % 0.38/0.58 (step @p139 :rule cong :premises (@p138) :args ((forall @t21 (=> @t19 @t123)))) % 0.38/0.58 (step @p140 :rule aci_norm :args ((= (or @t78 (or @t89 @t10)) @t122))) % 0.38/0.58 (step @p141 :rule bool-impl-elim :args (@t11 @t10)) % 0.38/0.58 (step @p142 :rule nary_cong :premises (@p64 @p141) :args ((or @t78 @t12))) % 0.38/0.58 (step @p143 :rule trans :premises (@p142 @p140)) % 0.38/0.58 (step @p144 :rule bool-impl-elim :args (@t14 @t12)) % 0.38/0.58 (step @p145 :rule trans :premises (@p144 @p143)) % 0.38/0.58 (step @p146 :rule cong :premises (@p145) :args (@t16)) % 0.38/0.58 (step @p147 :rule refl :args (@t17)) % 0.38/0.58 (step @p148 :rule cong :premises (@p147 @p146) :args (@t18)) % 0.38/0.58 (step @p149 :rule cong :premises (@p72 @p148) :args (@t20)) % 0.38/0.58 (step @p150 :rule cong :premises (@p149) :args (@t22)) % 0.38/0.58 (step @p151 :rule trans :premises (@p150 @p139)) % 0.38/0.58 (step @p152 :rule cong :premises (@p37 @p151) :args (@t24)) % 0.38/0.58 (step @p153 :rule cong :premises (@p152) :args (@t25)) % 0.38/0.58 (step @p154 :rule trans :premises (@p153 @p137)) % 0.38/0.58 (step @p155 :rule eq_resolve :premises (@p3 @p154)) % 0.38/0.58 (step @p156 :rule instantiate :premises (@p155) :args (@t94)) % 0.38/0.58 (step @p157 :rule cnf_or_pos :args (@t127)) % 0.38/0.58 (step @p158 :rule reordering :premises (@p157) :args ((or @t72 @t70 @t126 (not @t127)))) % 0.38/0.58 (step @p159 :rule chain_m_resolution :premises (@p158 @p93 @p87 @p156) :args (@t126 @t100 (@list @t71 @t69 @t127))) % 0.38/0.58 (step @p160 :rule instantiate :premises (@p99) :args ((@list @t128 tptp.empty_set))) % 0.38/0.58 (step @p161 :rule cnf_or_pos :args (@t131)) % 0.38/0.58 (step @p162 :rule reordering :premises (@p161) :args ((or @t102 @t130 (not @t131)))) % 0.38/0.58 (step @p163 :rule chain_m_resolution :premises (@p162 @p10 @p160) :args (@t130 @t106 (@list @t37 @t131))) % 0.38/0.58 (step @p164 :rule bool-double-not-elim :args (@t129)) % 0.38/0.58 (step @p165 :rule refl :args (@t132)) % 0.38/0.58 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t132 (not @t130)))) % 0.38/0.58 (step @p167 :rule cnf_or_neg :args (@t132 1)) % 0.38/0.58 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.38/0.58 (step @p169 :rule reordering :premises (@p168) :args ((or @t129 @t132))) % 0.38/0.58 (step @p170 :rule chain_m_resolution :premises (@p169 @p163) :args (@t132 @t74 (@list @t129))) % 0.38/0.58 (step @p171 :rule refl :args (@t133)) % 0.38/0.58 (step @p172 :rule bool-double-not-elim :args (@t125)) % 0.38/0.58 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or (not @t134) @t133))) % 0.38/0.58 (assume-push @p188 @t134) % 0.38/0.58 (step @p175 :rule skolemize :premises (@p188)) % 0.38/0.58 (step-pop @p189 :rule scope :premises (@p175)) % 0.38/0.58 (step @p176 :rule process_scope :premises (@p189) :args (@t133)) % 0.38/0.58 (step @p178 :rule implies_elim :premises (@p176)) % 0.38/0.58 (step @p179 :rule eq_resolve :premises (@p178 @p173)) % 0.38/0.58 (step @p180 :rule chain_m_resolution :premises (@p179 @p170) :args (@t125 @t110 (@list @t132))) % 0.38/0.58 (step @p181 :rule cnf_equiv_pos2 :args (@t126)) % 0.38/0.58 (step @p182 :rule reordering :premises (@p181) :args ((or @t65 @t134 (not @t126)))) % 0.38/0.58 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p159) :args (@t65 @t106 (@list @t125 @t126))) % 0.38/0.58 (step @p184 :rule cnf_and_neg :args (@t67)) % 0.38/0.58 (step @p185 false :rule chain_m_resolution :premises (@p184 @p183 @p123 @p45) :args (false (@list false false true) (@list @t65 @t66 @t67))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------