%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET974+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 : n008.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 08:49:04 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET974+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 % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:20:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.59 (define @t3 () (@list @t1 @t2)) % 0.36/0.59 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 0.36/0.59 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 0.36/0.59 (define @t6 () (tptp.ordered_pair @t1 @t2)) % 0.36/0.59 (define @t7 () (tptp.empty @t1)) % 0.36/0.59 (define @t8 () (@list @t1)) % 0.36/0.59 (define @t9 () (tptp.disjoint @t1 @t2)) % 0.36/0.59 (define @t10 () (@var "E" $$unsorted)) % 0.36/0.59 (define @t11 () (@var "C" $$unsorted)) % 0.36/0.59 (define @t12 () (@var "G" $$unsorted)) % 0.36/0.59 (define @t13 () (tptp.in @t12 (tptp.set_intersection2 @t11 @t10))) % 0.36/0.59 (define @t14 () (@var "D" $$unsorted)) % 0.36/0.59 (define @t15 () (@var "F" $$unsorted)) % 0.36/0.59 (define @t16 () (tptp.in @t15 (tptp.set_intersection2 @t2 @t14))) % 0.36/0.59 (define @t17 () (tptp.ordered_pair @t15 @t12)) % 0.36/0.59 (define @t18 () (= @t1 @t17)) % 0.36/0.59 (define @t19 () (@list @t15 @t12)) % 0.36/0.59 (define @t20 () (forall @t19 (not (and @t18 @t16 @t13)))) % 0.36/0.59 (define @t21 () (tptp.in @t1 (tptp.set_intersection2 (tptp.cartesian_product2 @t2 @t11) (tptp.cartesian_product2 @t14 @t10)))) % 0.36/0.59 (define @t22 () (and @t21 @t20)) % 0.36/0.59 (define @t23 () (not @t22)) % 0.36/0.59 (define @t24 () (@list @t1 @t2 @t11 @t14 @t10)) % 0.36/0.59 (define @t25 () (forall @t24 @t23)) % 0.36/0.59 (define @t26 () (tptp.disjoint (tptp.cartesian_product2 @t1 @t11) (tptp.cartesian_product2 @t2 @t14))) % 0.36/0.59 (define @t27 () (tptp.disjoint @t11 @t14)) % 0.36/0.59 (define @t28 () (or @t9 @t27)) % 0.36/0.59 (define @t29 () (@list @t1 @t2 @t11 @t14)) % 0.36/0.59 (define @t30 () (forall @t29 (=> @t28 @t26))) % 0.36/0.59 (define @t31 () (not @t30)) % 0.36/0.59 (define @t32 () (tptp.in @t11 @t5)) % 0.36/0.59 (define @t33 () (@list @t11)) % 0.36/0.59 (define @t34 () (exists @t33 @t32)) % 0.36/0.59 (define @t35 () (and @t34 @t9)) % 0.36/0.59 (define @t36 () (not @t35)) % 0.36/0.59 (define @t37 () (forall @t33 (not @t32))) % 0.36/0.59 (define @t38 () (not @t9)) % 0.36/0.59 (define @t39 () (not (and @t38 @t37))) % 0.36/0.59 (define @t40 () (and @t39 @t36)) % 0.36/0.59 (define @t41 () (forall @t3 @t40)) % 0.36/0.59 (define @t42 () (@var "BOUND_VARIABLE_7563" $$unsorted)) % 0.36/0.59 (define @t43 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.36/0.59 (define @t44 () (not (tptp.disjoint @t43 @t42))) % 0.36/0.59 (define @t45 () (tptp.set_intersection2 @t43 @t42)) % 0.36/0.59 (define @t46 () (@var "BOUND_VARIABLE_7575" $$unsorted)) % 0.36/0.59 (define @t47 () (not (tptp.in @t46 @t45))) % 0.36/0.59 (define @t48 () (or @t47 @t44)) % 0.36/0.59 (define @t49 () (forall (@list @t43 @t42 @t46) @t48)) % 0.36/0.59 (define @t50 () (@list @t46)) % 0.36/0.59 (define @t51 () (forall @t50 @t48)) % 0.36/0.59 (define @t52 () (@list @t43 @t42)) % 0.36/0.59 (define @t53 () (forall @t50 @t47)) % 0.36/0.59 (define @t54 () (or @t53 @t44)) % 0.36/0.59 (define @t55 () (forall @t52 (or (forall @t33 (not (tptp.in @t11 @t45))) @t44))) % 0.36/0.59 (define @t56 () (@var "BOUND_VARIABLE_7550" $$unsorted)) % 0.36/0.59 (define @t57 () (@var "BOUND_VARIABLE_7548" $$unsorted)) % 0.36/0.59 (define @t58 () (forall (@list @t57 @t56) (or (tptp.disjoint @t57 @t56) (not (forall @t33 (not (tptp.in @t11 (tptp.set_intersection2 @t57 @t56)))))))) % 0.36/0.59 (define @t59 () (or @t37 @t38)) % 0.36/0.59 (define @t60 () (forall @t3 @t59)) % 0.36/0.59 (define @t61 () (@list @t1 @t2)) % 0.36/0.59 (define @t62 () (not @t37)) % 0.36/0.59 (define @t63 () (or @t9 @t62)) % 0.36/0.59 (define @t64 () (forall @t3 @t63)) % 0.36/0.59 (define @t65 () (and @t64 @t60)) % 0.36/0.59 (define @t66 () (and @t39 (not (and @t62 @t9)))) % 0.36/0.59 (define @t67 () (not @t13)) % 0.36/0.59 (define @t68 () (not @t16)) % 0.36/0.59 (define @t69 () (not @t18)) % 0.36/0.59 (define @t70 () (or @t69 @t68 @t67)) % 0.36/0.59 (define @t71 () (forall @t19 @t70)) % 0.36/0.59 (define @t72 () (forall @t29 (or (and @t38 (not @t27)) @t26))) % 0.36/0.59 (define @t73 () (@quantifiers_skolemize @t72 3)) % 0.36/0.59 (define @t74 () (@quantifiers_skolemize @t72 2)) % 0.36/0.59 (define @t75 () (tptp.set_intersection2 @t74 @t73)) % 0.36/0.59 (define @t76 () (not (tptp.in @t12 @t75))) % 0.36/0.59 (define @t77 () (@quantifiers_skolemize @t72 1)) % 0.36/0.59 (define @t78 () (@quantifiers_skolemize @t72 0)) % 0.36/0.59 (define @t79 () (tptp.set_intersection2 @t78 @t77)) % 0.36/0.59 (define @t80 () (not (tptp.in @t15 @t79))) % 0.36/0.59 (define @t81 () (tptp.cartesian_product2 @t77 @t73)) % 0.36/0.59 (define @t82 () (tptp.cartesian_product2 @t78 @t74)) % 0.36/0.59 (define @t83 () (tptp.set_intersection2 @t82 @t81)) % 0.36/0.59 (define @t84 () (forall @t33 (not (tptp.in @t11 @t83)))) % 0.36/0.59 (define @t85 () (@quantifiers_skolemize @t84 0)) % 0.36/0.59 (define @t86 () (not (= @t85 @t17))) % 0.36/0.59 (define @t87 () (or @t86 @t80 @t76)) % 0.36/0.59 (define @t88 () (forall @t19 @t87)) % 0.36/0.59 (define @t89 () (not @t88)) % 0.36/0.59 (define @t90 () (tptp.in @t85 @t83)) % 0.36/0.59 (define @t91 () (not @t90)) % 0.36/0.59 (define @t92 () (or @t91 @t89)) % 0.36/0.59 (define @t93 () (forall @t24 (or (not @t21) (not @t71)))) % 0.36/0.59 (define @t94 () (forall @t19 (or (not (= @t17 @t85)) @t80 @t76))) % 0.36/0.59 (define @t95 () (not @t94)) % 0.36/0.59 (define @t96 () (or @t91 @t95)) % 0.36/0.59 (define @t97 () (tptp.disjoint @t82 @t81)) % 0.36/0.59 (define @t98 () (tptp.disjoint @t74 @t73)) % 0.36/0.59 (define @t99 () (not @t98)) % 0.36/0.59 (define @t100 () (tptp.disjoint @t78 @t77)) % 0.36/0.59 (define @t101 () (not @t100)) % 0.36/0.59 (define @t102 () (and @t101 @t99)) % 0.36/0.59 (define @t103 () (or @t102 @t97)) % 0.36/0.59 (define @t104 () (@list true)) % 0.36/0.59 (define @t105 () (@list @t103)) % 0.36/0.59 (define @t106 () (not @t84)) % 0.36/0.59 (define @t107 () (or @t97 @t106)) % 0.36/0.59 (define @t108 () (@list true false)) % 0.36/0.59 (define @t109 () (not @t91)) % 0.36/0.59 (define @t110 () (@list false false)) % 0.36/0.59 (define @t111 () (@quantifiers_skolemize @t94 1)) % 0.36/0.59 (define @t112 () (tptp.in @t111 @t75)) % 0.36/0.59 (define @t113 () (not @t112)) % 0.36/0.59 (define @t114 () (@quantifiers_skolemize @t94 0)) % 0.36/0.59 (define @t115 () (tptp.in @t114 @t79)) % 0.36/0.59 (define @t116 () (not @t115)) % 0.36/0.59 (define @t117 () (tptp.ordered_pair @t114 @t111)) % 0.36/0.59 (define @t118 () (or (not (= @t85 @t117)) @t116 @t113)) % 0.36/0.59 (define @t119 () (not @t118)) % 0.36/0.59 (define @t120 () (not (= @t117 @t85))) % 0.36/0.59 (define @t121 () (or @t120 @t116 @t113)) % 0.36/0.59 (define @t122 () (not @t121)) % 0.36/0.59 (define @t123 () (@list @t118)) % 0.36/0.59 (define @t124 () (or @t116 @t101)) % 0.36/0.59 (define @t125 () (or @t113 @t99)) % 0.36/0.59 (define @t126 () (not @t125)) % 0.36/0.59 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 0.36/0.59 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 0.36/0.59 (assume @p3 (forall @t3 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 0.36/0.59 (assume @p4 (forall @t3 (= @t6 (tptp.unordered_pair @t4 (tptp.singleton @t1))))) % 0.36/0.59 (assume @p5 (forall @t3 (not (tptp.empty @t6)))) % 0.36/0.59 (assume @p6 (forall @t3 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.36/0.59 (assume @p7 (exists @t8 @t7)) % 0.36/0.59 (assume @p8 (exists @t8 (not @t7))) % 0.36/0.59 (assume @p9 (forall @t3 (=> @t9 (tptp.disjoint @t2 @t1)))) % 0.36/0.59 (assume @p10 @t25) % 0.36/0.59 (assume @p11 @t31) % 0.36/0.59 (assume @p12 @t41) % 0.36/0.59 (assume @p13 true) % 0.36/0.59 (step @p14 :rule quant-merge-prenex :args ((= (forall @t52 @t51) @t49))) % 0.36/0.59 (step @p15 :rule refl :args (@t44)) % 0.36/0.59 (step @p16 :rule alpha_equiv :args (@t53 (@list @t46) (@list @t11))) % 0.36/0.59 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t54)) % 0.36/0.59 (step @p18 :rule quant-miniscope-or :args ((= @t51 @t54))) % 0.36/0.59 (step @p19 :rule trans :premises (@p18 @p17)) % 0.36/0.59 (step @p20 :rule symm :premises (@p19)) % 0.36/0.59 (step @p21 :rule cong :premises (@p20) :args (@t55)) % 0.36/0.59 (step @p22 :rule trans :premises (@p21 @p14)) % 0.36/0.59 (step @p23 :rule refl :args (@t58)) % 0.36/0.59 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((and @t58 @t55))) % 0.36/0.59 (step @p25 :rule alpha_equiv :args (@t60 @t61 (@list @t43 @t42))) % 0.36/0.59 (step @p26 :rule alpha_equiv :args (@t64 @t61 (@list @t57 @t56))) % 0.36/0.59 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t65)) % 0.36/0.59 (step @p28 :rule quant-miniscope-and :args ((= (forall @t3 (and @t63 @t59)) @t65))) % 0.36/0.59 (step @p29 :rule trans :premises (@p28 @p27)) % 0.36/0.59 (step @p30 :rule trans :premises (@p29 @p24)) % 0.36/0.59 (step @p31 :rule refl :args (@t38)) % 0.36/0.59 (step @p32 :rule bool-double-not-elim :args (@t37)) % 0.36/0.59 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t62) @t38))) % 0.36/0.59 (step @p34 :rule bool-and-de-morgan :args (@t62 @t9 true)) % 0.36/0.59 (step @p35 :rule trans :premises (@p34 @p33)) % 0.36/0.59 (step @p36 :rule refl :args (@t62)) % 0.36/0.59 (step @p37 :rule bool-double-not-elim :args (@t9)) % 0.36/0.59 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t38) @t62))) % 0.36/0.59 (step @p39 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.36/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.36/0.59 (step @p41 :rule nary_cong :premises (@p40 @p35) :args (@t66)) % 0.36/0.59 (step @p42 :rule cong :premises (@p41) :args ((forall @t3 @t66))) % 0.36/0.59 (step @p43 :rule trans :premises (@p42 @p30)) % 0.36/0.59 (step @p44 :rule refl :args (@t9)) % 0.36/0.59 (step @p45 :rule exists-elim :args ((= @t34 @t62))) % 0.36/0.59 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t35)) % 0.36/0.59 (step @p47 :rule cong :premises (@p46) :args (@t36)) % 0.36/0.59 (step @p48 :rule refl :args (@t39)) % 0.36/0.59 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t40)) % 0.36/0.59 (step @p50 :rule cong :premises (@p49) :args (@t41)) % 0.36/0.59 (step @p51 :rule trans :premises (@p50 @p43)) % 0.36/0.59 (step @p52 :rule eq_resolve :premises (@p12 @p51)) % 0.36/0.59 (step @p53 :rule and_elim :premises (@p52) :args (1)) % 0.36/0.59 (step @p54 :rule bool-and-de-morgan :args (@t21 @t71 true)) % 0.36/0.59 (step @p55 :rule cong :premises (@p54) :args ((forall @t24 (not (and @t21 @t71))))) % 0.36/0.59 (step @p56 :rule aci_norm :args ((= (or @t69 (or @t68 @t67)) @t70))) % 0.36/0.59 (step @p57 :rule bool-and-de-morgan :args (@t16 @t13 true)) % 0.36/0.59 (step @p58 :rule refl :args (@t69)) % 0.36/0.59 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t69 (not (and @t16 @t13))))) % 0.36/0.59 (step @p60 :rule bool-and-de-morgan :args (@t18 @t16 (and @t13))) % 0.36/0.59 (step @p61 :rule trans :premises (@p60 @p59)) % 0.36/0.59 (step @p62 :rule trans :premises (@p61 @p56)) % 0.36/0.59 (step @p63 :rule cong :premises (@p62) :args (@t20)) % 0.36/0.59 (step @p64 :rule refl :args (@t21)) % 0.36/0.59 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t22)) % 0.36/0.59 (step @p66 :rule cong :premises (@p65) :args (@t23)) % 0.36/0.59 (step @p67 :rule cong :premises (@p66) :args (@t25)) % 0.36/0.59 (step @p68 :rule trans :premises (@p67 @p55)) % 0.36/0.59 (step @p69 :rule eq_resolve :premises (@p10 @p68)) % 0.36/0.59 (step @p70 :rule refl :args (@t76)) % 0.36/0.59 (step @p71 :rule refl :args (@t80)) % 0.36/0.59 (step @p72 :rule eq-symm :args (@t85 @t17)) % 0.36/0.59 (step @p73 :rule cong :premises (@p72) :args (@t86)) % 0.36/0.59 (step @p74 :rule nary_cong :premises (@p73 @p71 @p70) :args (@t87)) % 0.36/0.59 (step @p75 :rule cong :premises (@p74) :args (@t88)) % 0.36/0.59 (step @p76 :rule cong :premises (@p75) :args (@t89)) % 0.36/0.59 (step @p77 :rule refl :args (@t91)) % 0.36/0.59 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t92)) % 0.36/0.59 (step @p79 :rule refl :args (@t93)) % 0.36/0.59 (step @p80 :rule cong :premises (@p79 @p78) :args ((=> @t93 @t92))) % 0.36/0.59 (assume-push @p176 @t93) % 0.36/0.59 (step @p82 :rule instantiate :premises (@p69) :args ((@list @t85 @t78 @t74 @t77 @t73))) % 0.36/0.59 (step-pop @p177 :rule scope :premises (@p82)) % 0.36/0.59 (step @p83 :rule process_scope :premises (@p177) :args (@t92)) % 0.36/0.59 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 0.36/0.59 (step @p86 :rule implies_elim :premises (@p85)) % 0.36/0.59 (step @p87 :rule chain_m_resolution :premises (@p86 @p69) :args (@t96 (@list false) (@list @t93))) % 0.36/0.59 (step @p88 :rule and_elim :premises (@p52) :args (0)) % 0.36/0.59 (step @p89 :rule instantiate :premises (@p88) :args ((@list @t82 @t81))) % 0.36/0.59 (step @p90 :rule refl :args (@t26)) % 0.36/0.59 (step @p91 :rule bool-or-de-morgan :args (@t9 @t27 false)) % 0.36/0.59 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t28) @t26))) % 0.36/0.59 (step @p93 :rule bool-impl-elim :args (@t28 @t26)) % 0.36/0.59 (step @p94 :rule trans :premises (@p93 @p92)) % 0.36/0.59 (step @p95 :rule cong :premises (@p94) :args (@t30)) % 0.36/0.59 (step @p96 :rule cong :premises (@p95) :args (@t31)) % 0.36/0.59 (step @p97 :rule eq_resolve :premises (@p11 @p96)) % 0.36/0.59 (step @p98 :rule skolemize :premises (@p97)) % 0.36/0.59 (step @p99 :rule cnf_or_neg :args (@t103 1)) % 0.36/0.59 (step @p100 :rule chain_m_resolution :premises (@p99 @p98) :args ((not @t97) @t104 @t105)) % 0.36/0.59 (step @p101 :rule cnf_or_pos :args (@t107)) % 0.36/0.59 (step @p102 :rule reordering :premises (@p101) :args ((or @t97 @t106 (not @t107)))) % 0.36/0.59 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p89) :args (@t106 @t108 (@list @t97 @t107))) % 0.36/0.59 (step @p104 :rule refl :args (@t90)) % 0.36/0.59 (step @p105 :rule bool-double-not-elim :args (@t84)) % 0.36/0.59 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t106) @t90))) % 0.36/0.59 (step @p107 :rule bool-double-not-elim :args (@t90)) % 0.36/0.59 (step @p108 :rule refl :args (@t106)) % 0.36/0.59 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t106 @t109))) % 0.36/0.59 (assume-push @p178 @t106) % 0.36/0.59 (step @p111 :rule skolemize :premises (@p103)) % 0.36/0.59 (step-pop @p179 :rule scope :premises (@p111)) % 0.36/0.59 (step @p112 :rule process_scope :premises (@p179) :args (@t109)) % 0.36/0.59 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.36/0.59 (step @p115 :rule implies_elim :premises (@p114)) % 0.36/0.59 (step @p116 :rule eq_resolve :premises (@p115 @p106)) % 0.36/0.59 (step @p117 :rule chain_m_resolution :premises (@p116 @p103) :args (@t90 @t104 (@list @t84))) % 0.36/0.59 (step @p118 :rule cnf_or_pos :args (@t96)) % 0.36/0.59 (step @p119 :rule reordering :premises (@p118) :args ((or @t91 @t95 (not @t96)))) % 0.36/0.59 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p87) :args (@t95 @t110 (@list @t90 @t96))) % 0.36/0.59 (step @p121 :rule refl :args (@t119)) % 0.36/0.59 (step @p122 :rule bool-double-not-elim :args (@t94)) % 0.36/0.59 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t95) @t119))) % 0.36/0.59 (step @p124 :rule refl :args (@t113)) % 0.36/0.59 (step @p125 :rule refl :args (@t116)) % 0.36/0.59 (step @p126 :rule eq-symm :args (@t117 @t85)) % 0.36/0.59 (step @p127 :rule cong :premises (@p126) :args (@t120)) % 0.36/0.59 (step @p128 :rule nary_cong :premises (@p127 @p125 @p124) :args (@t121)) % 0.36/0.59 (step @p129 :rule cong :premises (@p128) :args (@t122)) % 0.36/0.59 (step @p130 :rule refl :args (@t95)) % 0.36/0.59 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t95 @t122))) % 0.36/0.59 (assume-push @p180 @t95) % 0.36/0.59 (step @p133 :rule skolemize :premises (@p120)) % 0.36/0.59 (step-pop @p181 :rule scope :premises (@p133)) % 0.36/0.59 (step @p134 :rule process_scope :premises (@p181) :args (@t122)) % 0.36/0.59 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 0.36/0.59 (step @p137 :rule implies_elim :premises (@p136)) % 0.36/0.59 (step @p138 :rule eq_resolve :premises (@p137 @p123)) % 0.36/0.59 (step @p139 :rule chain_m_resolution :premises (@p138 @p120) :args (@t119 @t104 (@list @t94))) % 0.36/0.59 (step @p140 :rule bool-double-not-elim :args (@t112)) % 0.36/0.59 (step @p141 :rule refl :args (@t118)) % 0.36/0.59 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t118 (not @t113)))) % 0.36/0.59 (step @p143 :rule cnf_or_neg :args (@t118 2)) % 0.36/0.59 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.36/0.59 (step @p145 :rule reordering :premises (@p144) :args ((or @t112 @t118))) % 0.36/0.59 (step @p146 :rule chain_m_resolution :premises (@p145 @p139) :args (@t112 @t104 @t123)) % 0.36/0.59 (step @p147 :rule cnf_or_neg :args (@t103 0)) % 0.36/0.59 (step @p148 :rule chain_m_resolution :premises (@p147 @p98) :args ((not @t102) @t104 @t105)) % 0.36/0.59 (step @p149 :rule instantiate :premises (@p53) :args ((@list @t78 @t77 @t114))) % 0.36/0.59 (step @p150 :rule bool-double-not-elim :args (@t115)) % 0.36/0.59 (step @p151 :rule nary_cong :premises (@p141 @p150) :args ((or @t118 (not @t116)))) % 0.36/0.59 (step @p152 :rule cnf_or_neg :args (@t118 1)) % 0.36/0.59 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 0.36/0.59 (step @p154 :rule reordering :premises (@p153) :args ((or @t115 @t118))) % 0.36/0.59 (step @p155 :rule chain_m_resolution :premises (@p154 @p139) :args (@t115 @t104 @t123)) % 0.36/0.59 (step @p156 :rule cnf_or_pos :args (@t124)) % 0.36/0.59 (step @p157 :rule reordering :premises (@p156) :args ((or @t101 @t116 (not @t124)))) % 0.36/0.59 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p149) :args (@t101 @t110 (@list @t115 @t124))) % 0.36/0.59 (step @p159 :rule bool-double-not-elim :args (@t98)) % 0.36/0.59 (step @p160 :rule bool-double-not-elim :args (@t100)) % 0.36/0.59 (step @p161 :rule refl :args (@t102)) % 0.36/0.59 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159) :args ((or @t102 (not @t101) (not @t99)))) % 0.36/0.59 (step @p163 :rule cnf_and_neg :args (@t102)) % 0.36/0.59 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.36/0.59 (step @p165 :rule reordering :premises (@p164) :args ((or @t100 @t98 @t102))) % 0.36/0.59 (step @p166 :rule chain_m_resolution :premises (@p165 @p158 @p148) :args (@t98 (@list true true) (@list @t100 @t102))) % 0.36/0.59 (step @p167 :rule cnf_or_pos :args (@t125)) % 0.36/0.59 (step @p168 :rule reordering :premises (@p167) :args ((or @t99 @t113 @t126))) % 0.36/0.59 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p146) :args (@t126 @t110 (@list @t98 @t112))) % 0.36/0.59 (assume-push @p182 @t49) % 0.36/0.59 (step @p171 :rule instantiate :premises (@p53) :args ((@list @t74 @t73 @t111))) % 0.36/0.59 (step-pop @p183 :rule scope :premises (@p171)) % 0.36/0.59 (step @p172 :rule process_scope :premises (@p183) :args (@t125)) % 0.36/0.59 (step @p174 :rule implies_elim :premises (@p172)) % 0.36/0.59 (step @p175 false :rule chain_m_resolution :premises (@p174 @p169 @p53) :args (false @t108 (@list @t125 @t49))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------