%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX199+1 : TPTP v9.3.0. Released v9.3.0. % 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 09:07:20 AM UTC 2026 % Result : Theorem 0.47s 0.66s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWX199+1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n003.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 23:06:59 EDT 2026 % 0.19/0.36 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.66 % SZS status Theorem % 0.47/0.66 % SZS output start Proof % 0.47/0.66 ( % 0.47/0.66 (declare-sort $$unsorted 0) % 0.47/0.66 (declare-const tptp.merge (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.66 (declare-const tptp.leqNat (-> $$unsorted $$unsorted Bool)) % 0.47/0.66 (declare-const tptp.z $$unsorted) % 0.47/0.66 (declare-const tptp.proj1S (-> $$unsorted $$unsorted)) % 0.47/0.66 (declare-const tptp.nil $$unsorted) % 0.47/0.66 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.47/0.66 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.47/0.66 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.47/0.66 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.66 (define @t1 () (@var "X" $$unsorted)) % 0.47/0.66 (define @t2 () (@var "X2" $$unsorted)) % 0.47/0.66 (define @t3 () (tptp.cons @t1 @t2)) % 0.47/0.66 (define @t4 () (tptp.head @t3)) % 0.47/0.66 (define @t5 () (@list @t1 @t2)) % 0.47/0.66 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.47/0.66 (define @t7 () (tptp.tail @t3)) % 0.47/0.66 (define @t8 () (forall @t5 (= @t7 @t2))) % 0.47/0.66 (define @t9 () (tptp.s @t1)) % 0.47/0.66 (define @t10 () (@list @t1)) % 0.47/0.66 (define @t11 () (not (= tptp.z @t9))) % 0.47/0.66 (define @t12 () (forall @t10 @t11)) % 0.47/0.66 (define @t13 () (@var "Y" $$unsorted)) % 0.47/0.66 (define @t14 () (@list @t13)) % 0.47/0.66 (define @t15 () (@var "Z" $$unsorted)) % 0.47/0.66 (define @t16 () (tptp.s @t15)) % 0.47/0.66 (define @t17 () (@var "M" $$unsorted)) % 0.47/0.66 (define @t18 () (forall (@list @t15 @t17) (= (tptp.leqNat @t16 (tptp.s @t17)) (tptp.leqNat @t15 @t17)))) % 0.47/0.66 (define @t19 () (tptp.merge tptp.nil @t13)) % 0.47/0.66 (define @t20 () (forall @t14 (= @t19 @t13))) % 0.47/0.66 (define @t21 () (@var "Xs" $$unsorted)) % 0.47/0.66 (define @t22 () (tptp.cons @t15 @t21)) % 0.47/0.66 (define @t23 () (tptp.merge @t22 tptp.nil)) % 0.47/0.66 (define @t24 () (forall (@list @t15 @t21) (= @t23 @t22))) % 0.47/0.66 (define @t25 () (@var "Ys" $$unsorted)) % 0.47/0.66 (define @t26 () (@var "Y2" $$unsorted)) % 0.47/0.66 (define @t27 () (tptp.cons @t26 @t25)) % 0.47/0.66 (define @t28 () (tptp.merge @t22 @t27)) % 0.47/0.66 (define @t29 () (= @t28 (tptp.cons @t15 (tptp.merge @t21 @t27)))) % 0.47/0.66 (define @t30 () (tptp.leqNat @t15 @t26)) % 0.47/0.66 (define @t31 () (@list @t15 @t21 @t26 @t25)) % 0.47/0.66 (define @t32 () (forall @t31 (=> @t30 @t29))) % 0.47/0.66 (define @t33 () (= @t28 (tptp.cons @t26 (tptp.merge @t22 @t25)))) % 0.47/0.66 (define @t34 () (not @t30)) % 0.47/0.66 (define @t35 () (forall @t31 (=> @t34 @t33))) % 0.47/0.66 (define @t36 () (@var "Zs" $$unsorted)) % 0.47/0.66 (define @t37 () (= (tptp.merge @t25 @t36) (tptp.merge @t36 @t25))) % 0.47/0.66 (define @t38 () (= (tptp.merge @t21 @t36) (tptp.merge @t36 @t21))) % 0.47/0.66 (define @t39 () (=> @t38 @t37)) % 0.47/0.66 (define @t40 () (= (tptp.merge @t21 @t25) (tptp.merge @t25 @t21))) % 0.47/0.66 (define @t41 () (=> @t40 @t39)) % 0.47/0.66 (define @t42 () (not @t41)) % 0.47/0.66 (define @t43 () (@list @t21 @t25 @t36)) % 0.47/0.66 (define @t44 () (exists @t43 @t42)) % 0.47/0.66 (define @t45 () (not @t44)) % 0.47/0.66 (define @t46 () (tptp.s tptp.z)) % 0.47/0.66 (define @t47 () (not (= @t46 tptp.z))) % 0.47/0.66 (define @t48 () (forall @t10 (not (= @t9 tptp.z)))) % 0.47/0.66 (define @t49 () (@list tptp.z)) % 0.47/0.66 (define @t50 () (= tptp.z @t46)) % 0.47/0.66 (define @t51 () (@list false)) % 0.47/0.66 (define @t52 () (tptp.cons tptp.z tptp.nil)) % 0.47/0.66 (define @t53 () (tptp.cons @t46 tptp.nil)) % 0.47/0.66 (define @t54 () (tptp.merge tptp.nil @t53)) % 0.47/0.66 (define @t55 () (tptp.merge @t52 @t53)) % 0.47/0.66 (define @t56 () (= @t55 (tptp.cons tptp.z @t54))) % 0.47/0.66 (define @t57 () (tptp.leqNat tptp.z @t46)) % 0.47/0.66 (define @t58 () (not @t57)) % 0.47/0.66 (define @t59 () (or @t58 @t56)) % 0.47/0.66 (define @t60 () (@list false false)) % 0.47/0.66 (define @t61 () (tptp.merge @t53 tptp.nil)) % 0.47/0.66 (define @t62 () (tptp.merge tptp.nil @t52)) % 0.47/0.66 (define @t63 () (tptp.cons @t46 @t62)) % 0.47/0.66 (define @t64 () (tptp.merge tptp.nil @t63)) % 0.47/0.66 (define @t65 () (tptp.merge @t64 @t53)) % 0.47/0.66 (define @t66 () (tptp.cons tptp.z @t65)) % 0.47/0.66 (define @t67 () (tptp.cons tptp.z @t64)) % 0.47/0.66 (define @t68 () (tptp.merge @t67 @t53)) % 0.47/0.66 (define @t69 () (= @t68 @t66)) % 0.47/0.66 (define @t70 () (or @t58 @t69)) % 0.47/0.66 (define @t71 () (tptp.merge @t53 @t64)) % 0.47/0.66 (define @t72 () (tptp.cons tptp.z @t71)) % 0.47/0.66 (define @t73 () (tptp.merge @t53 @t67)) % 0.47/0.66 (define @t74 () (= @t73 @t72)) % 0.47/0.66 (define @t75 () (tptp.leqNat @t46 tptp.z)) % 0.47/0.66 (define @t76 () (or @t75 @t74)) % 0.47/0.66 (define @t77 () (tptp.leqNat @t46 @t46)) % 0.47/0.66 (define @t78 () (tptp.leqNat tptp.z tptp.z)) % 0.47/0.66 (define @t79 () (= @t77 @t78)) % 0.47/0.66 (define @t80 () (= @t78 @t77)) % 0.47/0.66 (define @t81 () (tptp.cons @t46 @t64)) % 0.47/0.66 (define @t82 () (= (tptp.merge @t53 @t63) @t81)) % 0.47/0.66 (define @t83 () (not @t77)) % 0.47/0.66 (define @t84 () (or @t83 @t82)) % 0.47/0.66 (define @t85 () (tptp.merge @t62 @t53)) % 0.47/0.66 (define @t86 () (tptp.cons @t46 @t85)) % 0.47/0.66 (define @t87 () (tptp.merge @t63 @t53)) % 0.47/0.66 (define @t88 () (= @t87 @t86)) % 0.47/0.66 (define @t89 () (or @t83 @t88)) % 0.47/0.66 (define @t90 () (not @t38)) % 0.47/0.66 (define @t91 () (not @t40)) % 0.47/0.66 (define @t92 () (or @t91 @t90 @t37)) % 0.47/0.66 (define @t93 () (forall @t43 @t92)) % 0.47/0.66 (define @t94 () (forall @t43 (not @t42))) % 0.47/0.66 (define @t95 () (not @t94)) % 0.47/0.66 (define @t96 () (not (= @t54 @t61))) % 0.47/0.66 (define @t97 () (tptp.merge tptp.nil @t67)) % 0.47/0.66 (define @t98 () (tptp.merge @t67 tptp.nil)) % 0.47/0.66 (define @t99 () (not (= @t97 @t98))) % 0.47/0.66 (define @t100 () (or @t99 @t96 (= @t68 @t73))) % 0.47/0.66 (define @t101 () (= @t73 @t68)) % 0.47/0.66 (define @t102 () (= @t61 @t54)) % 0.47/0.66 (define @t103 () (not @t102)) % 0.47/0.66 (define @t104 () (= @t98 @t97)) % 0.47/0.66 (define @t105 () (not @t104)) % 0.47/0.66 (define @t106 () (or @t105 @t103 @t101)) % 0.47/0.66 (define @t107 () (= @t52 @t62)) % 0.47/0.66 (define @t108 () (= @t53 @t61)) % 0.47/0.66 (define @t109 () (= @t53 @t54)) % 0.47/0.66 (define @t110 () (tptp.cons tptp.z @t61)) % 0.47/0.66 (define @t111 () (tptp.head @t110)) % 0.47/0.66 (define @t112 () (= tptp.z @t111)) % 0.47/0.66 (define @t113 () (= @t46 (tptp.head @t63))) % 0.47/0.66 (define @t114 () (= @t63 @t64)) % 0.47/0.66 (define @t115 () (tptp.tail @t66)) % 0.47/0.66 (define @t116 () (= @t65 @t115)) % 0.47/0.66 (define @t117 () (= @t71 (tptp.tail @t72))) % 0.47/0.66 (define @t118 () (tptp.tail @t86)) % 0.47/0.66 (define @t119 () (= @t85 @t118)) % 0.47/0.66 (define @t120 () (= @t64 (tptp.tail @t81))) % 0.47/0.66 (define @t121 () (and @t107 @t108 @t109 @t56 @t112 @t113 @t114 @t101 @t69 @t74 @t116 @t117 @t82 @t88 @t119 @t120)) % 0.47/0.66 (assume @p1 @t6) % 0.47/0.66 (assume @p2 @t8) % 0.47/0.66 (assume @p3 (forall @t5 (not (= tptp.nil @t3)))) % 0.47/0.66 (assume @p4 (forall @t10 (= (tptp.proj1S @t9) @t1))) % 0.47/0.66 (assume @p5 @t12) % 0.47/0.66 (assume @p6 (forall @t14 (tptp.leqNat tptp.z @t13))) % 0.47/0.66 (assume @p7 (forall (@list @t15) (not (tptp.leqNat @t16 tptp.z)))) % 0.47/0.66 (assume @p8 @t18) % 0.47/0.66 (assume @p9 @t20) % 0.47/0.66 (assume @p10 @t24) % 0.47/0.66 (assume @p11 @t32) % 0.47/0.66 (assume @p12 @t35) % 0.47/0.66 (assume @p13 @t45) % 0.47/0.66 (assume @p14 true) % 0.47/0.66 (step @p15 :rule eq-symm :args (tptp.z @t9)) % 0.47/0.66 (step @p16 :rule cong :premises (@p15) :args (@t11)) % 0.47/0.66 (step @p17 :rule cong :premises (@p16) :args (@t12)) % 0.47/0.66 (step @p18 :rule eq_resolve :premises (@p5 @p17)) % 0.47/0.66 (step @p19 :rule eq-symm :args (@t46 tptp.z)) % 0.47/0.66 (step @p20 :rule cong :premises (@p19) :args (@t47)) % 0.47/0.66 (step @p21 :rule refl :args (@t48)) % 0.47/0.66 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t48 @t47))) % 0.47/0.66 (assume-push @p199 @t48) % 0.47/0.66 (step @p24 :rule instantiate :premises (@p18) :args (@t49)) % 0.47/0.66 (step-pop @p200 :rule scope :premises (@p24)) % 0.47/0.66 (step @p25 :rule process_scope :premises (@p200) :args (@t47)) % 0.47/0.66 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.47/0.66 (step @p28 :rule implies_elim :premises (@p27)) % 0.47/0.66 (step @p29 :rule chain_m_resolution :premises (@p28 @p18) :args ((not @t50) @t51 (@list @t48))) % 0.47/0.66 (step @p30 :rule eq-symm :args (@t19 @t13)) % 0.47/0.66 (step @p31 :rule cong :premises (@p30) :args (@t20)) % 0.47/0.66 (step @p32 :rule eq_resolve :premises (@p9 @p31)) % 0.47/0.66 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t52))) % 0.47/0.66 (step @p34 :rule eq-symm :args (@t23 @t22)) % 0.47/0.66 (step @p35 :rule cong :premises (@p34) :args (@t24)) % 0.47/0.66 (step @p36 :rule eq_resolve :premises (@p10 @p35)) % 0.47/0.66 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t46 tptp.nil))) % 0.47/0.66 (step @p38 :rule instantiate :premises (@p32) :args ((@list @t53))) % 0.47/0.66 (step @p39 :rule bool-impl-elim :args (@t30 @t29)) % 0.47/0.66 (step @p40 :rule cong :premises (@p39) :args (@t32)) % 0.47/0.66 (step @p41 :rule eq_resolve :premises (@p11 @p40)) % 0.47/0.66 (step @p42 :rule instantiate :premises (@p41) :args ((@list tptp.z tptp.nil @t46 tptp.nil))) % 0.47/0.66 (step @p43 :rule instantiate :premises (@p6) :args ((@list @t46))) % 0.47/0.66 (step @p44 :rule cnf_or_pos :args (@t59)) % 0.47/0.66 (step @p45 :rule reordering :premises (@p44) :args ((or @t58 @t56 (not @t59)))) % 0.47/0.66 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42) :args (@t56 @t60 (@list @t57 @t59))) % 0.47/0.66 (step @p47 :rule eq-symm :args (@t4 @t1)) % 0.47/0.66 (step @p48 :rule cong :premises (@p47) :args (@t6)) % 0.47/0.66 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.47/0.66 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.z @t61))) % 0.47/0.66 (step @p51 :rule instantiate :premises (@p49) :args ((@list @t46 @t62))) % 0.47/0.66 (step @p52 :rule instantiate :premises (@p32) :args ((@list @t63))) % 0.47/0.66 (step @p53 :rule instantiate :premises (@p41) :args ((@list tptp.z @t64 @t46 tptp.nil))) % 0.47/0.66 (step @p54 :rule cnf_or_pos :args (@t70)) % 0.47/0.66 (step @p55 :rule reordering :premises (@p54) :args ((or @t58 @t69 (not @t70)))) % 0.47/0.66 (step @p56 :rule chain_m_resolution :premises (@p55 @p43 @p53) :args (@t69 @t60 (@list @t57 @t70))) % 0.47/0.66 (step @p57 :rule refl :args (@t33)) % 0.47/0.66 (step @p58 :rule bool-double-not-elim :args (@t30)) % 0.47/0.66 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t34) @t33))) % 0.47/0.66 (step @p60 :rule bool-impl-elim :args (@t34 @t33)) % 0.47/0.66 (step @p61 :rule trans :premises (@p60 @p59)) % 0.47/0.66 (step @p62 :rule cong :premises (@p61) :args (@t35)) % 0.47/0.66 (step @p63 :rule eq_resolve :premises (@p12 @p62)) % 0.47/0.66 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t46 tptp.nil tptp.z @t64))) % 0.47/0.66 (step @p65 :rule instantiate :premises (@p7) :args (@t49)) % 0.47/0.66 (step @p66 :rule cnf_or_pos :args (@t76)) % 0.47/0.66 (step @p67 :rule reordering :premises (@p66) :args ((or @t75 @t74 (not @t76)))) % 0.47/0.66 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p64) :args (@t74 (@list true false) (@list @t75 @t76))) % 0.47/0.66 (step @p69 :rule eq-symm :args (@t7 @t2)) % 0.47/0.66 (step @p70 :rule cong :premises (@p69) :args (@t8)) % 0.47/0.66 (step @p71 :rule eq_resolve :premises (@p2 @p70)) % 0.47/0.66 (step @p72 :rule instantiate :premises (@p71) :args ((@list tptp.z @t65))) % 0.47/0.66 (step @p73 :rule instantiate :premises (@p71) :args ((@list tptp.z @t71))) % 0.47/0.66 (step @p74 :rule instantiate :premises (@p41) :args ((@list @t46 tptp.nil @t46 @t62))) % 0.47/0.66 (step @p75 :rule eq-symm :args (@t77 @t78)) % 0.47/0.66 (step @p76 :rule refl :args (@t18)) % 0.47/0.66 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t18 @t79))) % 0.47/0.66 (assume-push @p201 @t18) % 0.47/0.66 (step @p79 :rule instantiate :premises (@p8) :args ((@list tptp.z tptp.z))) % 0.47/0.66 (step-pop @p202 :rule scope :premises (@p79)) % 0.47/0.66 (step @p80 :rule process_scope :premises (@p202) :args (@t79)) % 0.47/0.66 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 0.47/0.66 (step @p83 :rule implies_elim :premises (@p82)) % 0.47/0.66 (step @p84 :rule chain_m_resolution :premises (@p83 @p8) :args (@t80 @t51 (@list @t18))) % 0.47/0.66 (step @p85 :rule instantiate :premises (@p6) :args (@t49)) % 0.47/0.66 (step @p86 :rule cnf_equiv_pos1 :args (@t80)) % 0.47/0.66 (step @p87 :rule reordering :premises (@p86) :args ((or @t77 (not @t78) (not @t80)))) % 0.47/0.66 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p84) :args (@t77 @t60 (@list @t78 @t80))) % 0.47/0.66 (step @p89 :rule cnf_or_pos :args (@t84)) % 0.47/0.66 (step @p90 :rule reordering :premises (@p89) :args ((or @t83 @t82 (not @t84)))) % 0.47/0.66 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p74) :args (@t82 @t60 (@list @t77 @t84))) % 0.47/0.66 (step @p92 :rule instantiate :premises (@p41) :args ((@list @t46 @t62 @t46 tptp.nil))) % 0.47/0.66 (step @p93 :rule cnf_or_pos :args (@t89)) % 0.47/0.66 (step @p94 :rule reordering :premises (@p93) :args ((or @t83 @t88 (not @t89)))) % 0.47/0.66 (step @p95 :rule chain_m_resolution :premises (@p94 @p88 @p92) :args (@t88 @t60 (@list @t77 @t89))) % 0.47/0.66 (step @p96 :rule bool-double-not-elim :args (@t93)) % 0.47/0.66 (step @p97 :rule aci_norm :args ((= (or @t91 (or @t90 @t37)) @t92))) % 0.47/0.66 (step @p98 :rule bool-impl-elim :args (@t38 @t37)) % 0.47/0.66 (step @p99 :rule refl :args (@t91)) % 0.47/0.66 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t91 @t39))) % 0.47/0.66 (step @p101 :rule trans :premises (@p100 @p97)) % 0.47/0.66 (step @p102 :rule bool-impl-elim :args (@t40 @t39)) % 0.47/0.66 (step @p103 :rule trans :premises (@p102 @p101)) % 0.47/0.66 (step @p104 :rule cong :premises (@p103) :args ((forall @t43 @t41))) % 0.47/0.66 (step @p105 :rule bool-double-not-elim :args (@t41)) % 0.47/0.66 (step @p106 :rule cong :premises (@p105) :args (@t94)) % 0.47/0.66 (step @p107 :rule trans :premises (@p106 @p104)) % 0.47/0.66 (step @p108 :rule cong :premises (@p107) :args (@t95)) % 0.47/0.66 (step @p109 :rule exists-elim :args ((= @t44 @t95))) % 0.47/0.66 (step @p110 :rule trans :premises (@p109 @p108)) % 0.47/0.66 (step @p111 :rule cong :premises (@p110) :args (@t45)) % 0.47/0.66 (step @p112 :rule trans :premises (@p111 @p96)) % 0.47/0.66 (step @p113 :rule eq_resolve :premises (@p13 @p112)) % 0.47/0.66 (step @p114 :rule eq-symm :args (@t68 @t73)) % 0.47/0.66 (step @p115 :rule eq-symm :args (@t54 @t61)) % 0.47/0.66 (step @p116 :rule cong :premises (@p115) :args (@t96)) % 0.47/0.66 (step @p117 :rule eq-symm :args (@t97 @t98)) % 0.47/0.66 (step @p118 :rule cong :premises (@p117) :args (@t99)) % 0.47/0.66 (step @p119 :rule nary_cong :premises (@p118 @p116 @p114) :args (@t100)) % 0.47/0.66 (step @p120 :rule refl :args (@t93)) % 0.47/0.66 (step @p121 :rule cong :premises (@p120 @p119) :args ((=> @t93 @t100))) % 0.47/0.66 (assume-push @p203 @t93) % 0.47/0.66 (step @p123 :rule instantiate :premises (@p113) :args ((@list tptp.nil @t67 @t53))) % 0.47/0.66 (step-pop @p204 :rule scope :premises (@p123)) % 0.47/0.66 (step @p124 :rule process_scope :premises (@p204) :args (@t100)) % 0.47/0.66 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 0.47/0.66 (step @p127 :rule implies_elim :premises (@p126)) % 0.47/0.66 (step @p128 :rule chain_m_resolution :premises (@p127 @p113) :args (@t106 @t51 (@list @t93))) % 0.47/0.66 (step @p129 :rule instantiate :premises (@p32) :args ((@list @t67))) % 0.47/0.66 (step @p130 :rule instantiate :premises (@p36) :args ((@list tptp.z @t64))) % 0.47/0.66 (step @p131 :rule symm :premises (@p130)) % 0.47/0.66 (step @p132 :rule trans :premises (@p131 @p129)) % 0.47/0.66 (step @p133 :rule symm :premises (@p37)) % 0.47/0.66 (step @p134 :rule trans :premises (@p133 @p38)) % 0.47/0.66 (step @p135 :rule cnf_or_pos :args (@t106)) % 0.47/0.66 (step @p136 :rule reordering :premises (@p135) :args ((or @t103 @t101 @t105 (not @t106)))) % 0.47/0.66 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p132 @p128) :args (@t101 (@list false false false) (@list @t102 @t104 @t106))) % 0.47/0.66 (step @p138 :rule instantiate :premises (@p71) :args ((@list @t46 @t85))) % 0.47/0.66 (step @p139 :rule instantiate :premises (@p71) :args ((@list @t46 @t64))) % 0.47/0.66 (assume-push @p205 @t107) % 0.47/0.66 (assume-push @p206 @t108) % 0.47/0.66 (assume-push @p207 @t109) % 0.47/0.66 (assume-push @p208 @t56) % 0.47/0.66 (assume-push @p209 @t112) % 0.47/0.66 (assume-push @p210 @t113) % 0.47/0.66 (assume-push @p211 @t114) % 0.47/0.66 (assume-push @p212 @t101) % 0.47/0.66 (assume-push @p213 @t69) % 0.47/0.66 (assume-push @p214 @t74) % 0.47/0.66 (assume-push @p215 @t116) % 0.47/0.66 (assume-push @p216 @t117) % 0.47/0.66 (assume-push @p217 @t82) % 0.47/0.66 (assume-push @p218 @t88) % 0.47/0.66 (assume-push @p219 @t119) % 0.47/0.66 (assume-push @p220 @t120) % 0.47/0.66 (step @p156 :rule symm :premises (@p51)) % 0.47/0.66 (step @p157 :rule symm :premises (@p52)) % 0.47/0.66 (step @p158 :rule symm :premises (@p139)) % 0.47/0.66 (step @p159 :rule refl :args (@t53)) % 0.47/0.66 (step @p160 :rule cong :premises (@p159 @p157) :args (@t71)) % 0.47/0.66 (step @p161 :rule symm :premises (@p73)) % 0.47/0.66 (step @p162 :rule symm :premises (@p137)) % 0.47/0.66 (step @p163 :rule symm :premises (@p56)) % 0.47/0.66 (step @p164 :rule trans :premises (@p163 @p162 @p68)) % 0.47/0.66 (step @p165 :rule cong :premises (@p164) :args (@t115)) % 0.47/0.66 (step @p166 :rule cong :premises (@p52 @p159) :args (@t87)) % 0.47/0.66 (step @p167 :rule symm :premises (@p95)) % 0.47/0.66 (step @p168 :rule trans :premises (@p167 @p166 @p72 @p165 @p161 @p160 @p91)) % 0.47/0.66 (step @p169 :rule cong :premises (@p168) :args (@t118)) % 0.47/0.66 (step @p170 :rule cong :premises (@p33 @p159) :args (@t55)) % 0.47/0.66 (step @p171 :rule symm :premises (@p46)) % 0.47/0.66 (step @p172 :rule refl :args (tptp.z)) % 0.47/0.66 (step @p173 :rule cong :premises (@p172 @p134) :args (@t110)) % 0.47/0.66 (step @p174 :rule trans :premises (@p173 @p171 @p170 @p138 @p169 @p158 @p157)) % 0.47/0.66 (step @p175 :rule cong :premises (@p174) :args (@t111)) % 0.47/0.66 (step @p176 :rule trans :premises (@p50 @p175 @p156)) % 0.47/0.66 (step-pop @p221 :rule scope :premises (@p176)) % 0.47/0.66 (step-pop @p222 :rule scope :premises (@p221)) % 0.47/0.66 (step-pop @p223 :rule scope :premises (@p222)) % 0.47/0.66 (step-pop @p224 :rule scope :premises (@p223)) % 0.47/0.66 (step-pop @p225 :rule scope :premises (@p224)) % 0.47/0.66 (step-pop @p226 :rule scope :premises (@p225)) % 0.47/0.66 (step-pop @p227 :rule scope :premises (@p226)) % 0.47/0.66 (step-pop @p228 :rule scope :premises (@p227)) % 0.47/0.66 (step-pop @p229 :rule scope :premises (@p228)) % 0.47/0.66 (step-pop @p230 :rule scope :premises (@p229)) % 0.47/0.66 (step-pop @p231 :rule scope :premises (@p230)) % 0.47/0.66 (step-pop @p232 :rule scope :premises (@p231)) % 0.47/0.66 (step-pop @p233 :rule scope :premises (@p232)) % 0.47/0.66 (step-pop @p234 :rule scope :premises (@p233)) % 0.47/0.66 (step-pop @p235 :rule scope :premises (@p234)) % 0.47/0.66 (step-pop @p236 :rule scope :premises (@p235)) % 0.47/0.66 (step @p177 :rule process_scope :premises (@p236) :args (@t50)) % 0.47/0.66 (step @p194 :rule implies_elim :premises (@p177)) % 0.47/0.66 (step @p195 :rule cnf_and_neg :args (@t121)) % 0.47/0.66 (step @p196 :rule resolution :premises (@p195 @p194) :args (true @t121)) % 0.47/0.66 (step @p197 :rule reordering :premises (@p196) :args ((or @t50 (not @t107) (not @t108) (not @t109) (not @t56) (not @t112) (not @t113) (not @t114) (not @t101) (not @t69) (not @t74) (not @t116) (not @t117) (not @t82) (not @t88) (not @t119) (not @t120)))) % 0.47/0.66 (step @p198 false :rule chain_m_resolution :premises (@p197 @p139 @p138 @p137 @p95 @p91 @p73 @p72 @p68 @p56 @p52 @p51 @p50 @p46 @p38 @p37 @p33 @p29) :args (false (@list false false false false false false false false false false false false false false false false true) (@list @t120 @t119 @t101 @t88 @t82 @t117 @t116 @t74 @t69 @t114 @t113 @t112 @t56 @t109 @t108 @t107 @t50))) % 0.47/0.66 ) % 0.47/0.66 % SZS output end Proof % 0.47/0.66 % cvc5 exiting %------------------------------------------------------------------------------