%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL962_16 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:16 AM UTC 2026 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL962_16 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n027.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 18:53:13 UTC 2026 % 0.09/0.36 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.50 % SZS status Theorem % 0.19/0.50 % SZS output start Proof % 0.19/0.50 ( % 0.19/0.50 (declare-sort |tptp.'$ki_index'| 0) % 0.19/0.50 (declare-sort |tptp.'$ki_world'| 0) % 0.19/0.50 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.19/0.50 (declare-const tptp.p (-> |tptp.'$ki_world'| Bool)) % 0.19/0.50 (declare-const |tptp.'#idx(b)'| |tptp.'$ki_index'|) % 0.19/0.50 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_index'| |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.19/0.50 (declare-const |tptp.'#idx(a)'| |tptp.'$ki_index'|) % 0.19/0.50 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.19/0.50 (define @t2 () (@list @t1)) % 0.19/0.50 (define @t3 () (@var "U" |tptp.'$ki_world'|)) % 0.19/0.50 (define @t4 () (@var "V" |tptp.'$ki_world'|)) % 0.19/0.50 (define @t5 () (@list @t1 @t4 @t3)) % 0.19/0.50 (define @t6 () (forall @t2 (|tptp.'$ki_accessible'| |tptp.'#idx(b)'| @t1 @t1))) % 0.19/0.50 (define @t7 () (@var "W0" |tptp.'$ki_world'|)) % 0.19/0.50 (define @t8 () (tptp.p @t7)) % 0.19/0.50 (define @t9 () (|tptp.'$ki_accessible'| |tptp.'#idx(b)'| @t1 @t7)) % 0.19/0.50 (define @t10 () (@list @t7)) % 0.19/0.50 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.19/0.50 (define @t12 () (tptp.p @t1)) % 0.19/0.50 (define @t13 () (=> @t12 @t11)) % 0.19/0.50 (define @t14 () (|tptp.'$ki_accessible'| |tptp.'#idx(a)'| |tptp.'$ki_local_world'| @t1)) % 0.19/0.50 (define @t15 () (=> @t14 @t13)) % 0.19/0.50 (define @t16 () (forall @t2 @t15)) % 0.19/0.50 (define @t17 () (not @t11)) % 0.19/0.50 (define @t18 () (=> @t14 @t17)) % 0.19/0.50 (define @t19 () (forall @t2 @t18)) % 0.19/0.50 (define @t20 () (|tptp.'$ki_accessible'| |tptp.'#idx(b)'| |tptp.'$ki_local_world'| @t1)) % 0.19/0.50 (define @t21 () (forall @t2 (=> @t20 @t12))) % 0.19/0.50 (define @t22 () (not @t21)) % 0.19/0.50 (define @t23 () (=> @t22 @t19)) % 0.19/0.50 (define @t24 () (tptp.p |tptp.'$ki_local_world'|)) % 0.19/0.50 (define @t25 () (not @t12)) % 0.19/0.50 (define @t26 () (forall @t2 (=> @t14 @t25))) % 0.19/0.50 (define @t27 () (not @t26)) % 0.19/0.50 (define @t28 () (not @t14)) % 0.19/0.50 (define @t29 () (@quantifiers_skolemize (forall @t2 (or @t28 @t25)) 0)) % 0.19/0.50 (define @t30 () (forall @t10 (or (not (|tptp.'$ki_accessible'| |tptp.'#idx(b)'| @t29 @t7)) @t8))) % 0.19/0.50 (define @t31 () (@quantifiers_skolemize @t30 0)) % 0.19/0.50 (define @t32 () (|tptp.'$ki_accessible'| |tptp.'#idx(b)'| @t29 @t31)) % 0.19/0.50 (define @t33 () (tptp.p @t31)) % 0.19/0.50 (define @t34 () (not @t32)) % 0.19/0.50 (define @t35 () (or @t34 @t33)) % 0.19/0.50 (define @t36 () (|tptp.'$ki_accessible'| |tptp.'#idx(a)'| |tptp.'$ki_local_world'| @t29)) % 0.19/0.50 (define @t37 () (tptp.p @t29)) % 0.19/0.50 (define @t38 () (not @t37)) % 0.19/0.50 (define @t39 () (not @t36)) % 0.19/0.50 (define @t40 () (or @t39 @t38)) % 0.19/0.50 (define @t41 () (@list true)) % 0.19/0.50 (define @t42 () (@list @t40)) % 0.19/0.50 (define @t43 () (@var "BOUND_VARIABLE_7486" |tptp.'$ki_world'|)) % 0.19/0.50 (define @t44 () (tptp.p @t43)) % 0.19/0.50 (define @t45 () (not (|tptp.'$ki_accessible'| |tptp.'#idx(b)'| @t1 @t43))) % 0.19/0.50 (define @t46 () (or @t45 @t44)) % 0.19/0.50 (define @t47 () (or @t28 @t25 @t46)) % 0.19/0.50 (define @t48 () (forall (@list @t1 @t43) @t47)) % 0.19/0.50 (define @t49 () (@list @t43)) % 0.19/0.50 (define @t50 () (forall @t49 @t47)) % 0.19/0.50 (define @t51 () (forall @t49 @t46)) % 0.19/0.50 (define @t52 () (or @t28 @t25 @t51)) % 0.19/0.50 (define @t53 () (forall @t10 (or (not @t9) @t8))) % 0.19/0.50 (define @t54 () (or @t28 @t25 @t53)) % 0.19/0.50 (define @t55 () (=> @t12 @t53)) % 0.19/0.50 (define @t56 () (or @t39 @t38 @t34 @t33)) % 0.19/0.50 (define @t57 () (not @t35)) % 0.19/0.50 (define @t58 () (not @t30)) % 0.19/0.50 (define @t59 () (@list false)) % 0.19/0.50 (define @t60 () (or @t39 @t58)) % 0.19/0.50 (define @t61 () (not @t60)) % 0.19/0.50 (define @t62 () (not @t53)) % 0.19/0.50 (define @t63 () (forall @t2 (or @t28 @t62))) % 0.19/0.50 (define @t64 () (forall @t2 (or (not @t20) @t12))) % 0.19/0.50 (define @t65 () (@list |tptp.'$ki_local_world'|)) % 0.19/0.50 (define @t66 () (|tptp.'$ki_accessible'| |tptp.'#idx(b)'| |tptp.'$ki_local_world'| |tptp.'$ki_local_world'|)) % 0.19/0.50 (define @t67 () (not @t66)) % 0.19/0.50 (define @t68 () (or @t67 @t24)) % 0.19/0.50 (define @t69 () (@list true false)) % 0.19/0.50 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| |tptp.'#idx(a)'| @t1 @t1))) % 0.19/0.50 (assume @p2 (forall @t5 (=> (and (|tptp.'$ki_accessible'| |tptp.'#idx(a)'| @t1 @t4) (|tptp.'$ki_accessible'| |tptp.'#idx(a)'| @t4 @t3)) (|tptp.'$ki_accessible'| |tptp.'#idx(a)'| @t1 @t3)))) % 0.19/0.50 (assume @p3 @t6) % 0.19/0.50 (assume @p4 (forall @t5 (=> (and (|tptp.'$ki_accessible'| |tptp.'#idx(b)'| @t1 @t4) (|tptp.'$ki_accessible'| |tptp.'#idx(b)'| @t4 @t3)) (|tptp.'$ki_accessible'| |tptp.'#idx(b)'| @t1 @t3)))) % 0.19/0.50 (assume @p5 @t16) % 0.19/0.50 (assume @p6 @t23) % 0.19/0.50 (assume @p7 (not @t24)) % 0.19/0.50 (assume @p8 @t27) % 0.19/0.50 (assume @p9 true) % 0.19/0.50 (step @p10 :rule bool-double-not-elim :args (@t32)) % 0.19/0.50 (step @p11 :rule refl :args (@t35)) % 0.19/0.50 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t35 (not @t34)))) % 0.19/0.50 (step @p13 :rule cnf_or_neg :args (@t35 0)) % 0.19/0.50 (step @p14 :rule eq_resolve :premises (@p13 @p12)) % 0.19/0.50 (step @p15 :rule reordering :premises (@p14) :args ((or @t32 @t35))) % 0.19/0.50 (step @p16 :rule cnf_or_neg :args (@t35 1)) % 0.19/0.50 (step @p17 :rule bool-impl-elim :args (@t14 @t25)) % 0.19/0.50 (step @p18 :rule cong :premises (@p17) :args (@t26)) % 0.19/0.50 (step @p19 :rule cong :premises (@p18) :args (@t27)) % 0.19/0.50 (step @p20 :rule eq_resolve :premises (@p8 @p19)) % 0.19/0.50 (step @p21 :rule skolemize :premises (@p20)) % 0.19/0.50 (step @p22 :rule bool-double-not-elim :args (@t36)) % 0.19/0.50 (step @p23 :rule refl :args (@t40)) % 0.19/0.50 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t40 (not @t39)))) % 0.19/0.50 (step @p25 :rule cnf_or_neg :args (@t40 0)) % 0.19/0.50 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.19/0.50 (step @p27 :rule reordering :premises (@p26) :args ((or @t36 @t40))) % 0.19/0.50 (step @p28 :rule chain_m_resolution :premises (@p27 @p21) :args (@t36 @t41 @t42)) % 0.19/0.50 (step @p29 :rule bool-double-not-elim :args (@t37)) % 0.19/0.50 (step @p30 :rule nary_cong :premises (@p23 @p29) :args ((or @t40 (not @t38)))) % 0.19/0.50 (step @p31 :rule cnf_or_neg :args (@t40 1)) % 0.19/0.50 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.19/0.50 (step @p33 :rule reordering :premises (@p32) :args ((or @t37 @t40))) % 0.19/0.50 (step @p34 :rule chain_m_resolution :premises (@p33 @p21) :args (@t37 @t41 @t42)) % 0.19/0.50 (step @p35 :rule aci_norm :args ((= @t47 (or @t28 @t25 @t45 @t44)))) % 0.19/0.50 (step @p36 :rule cong :premises (@p35) :args (@t48)) % 0.19/0.50 (step @p37 :rule quant-merge-prenex :args ((= (forall @t2 @t50) @t48))) % 0.19/0.50 (step @p38 :rule alpha_equiv :args (@t51 (@list @t43) (@list @t7))) % 0.19/0.50 (step @p39 :rule refl :args (@t25)) % 0.19/0.50 (step @p40 :rule refl :args (@t28)) % 0.19/0.50 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t52)) % 0.19/0.50 (step @p42 :rule quant-miniscope-or :args ((= @t50 @t52))) % 0.19/0.50 (step @p43 :rule trans :premises (@p42 @p41)) % 0.19/0.50 (step @p44 :rule symm :premises (@p43)) % 0.19/0.50 (step @p45 :rule cong :premises (@p44) :args ((forall @t2 @t54))) % 0.19/0.50 (step @p46 :rule trans :premises (@p45 @p37)) % 0.19/0.50 (step @p47 :rule trans :premises (@p46 @p36)) % 0.19/0.50 (step @p48 :rule aci_norm :args ((= (or @t28 (or @t25 @t53)) @t54))) % 0.19/0.50 (step @p49 :rule bool-impl-elim :args (@t12 @t53)) % 0.19/0.50 (step @p50 :rule nary_cong :premises (@p40 @p49) :args ((or @t28 @t55))) % 0.19/0.50 (step @p51 :rule trans :premises (@p50 @p48)) % 0.19/0.50 (step @p52 :rule bool-impl-elim :args (@t14 @t55)) % 0.19/0.50 (step @p53 :rule trans :premises (@p52 @p51)) % 0.19/0.50 (step @p54 :rule cong :premises (@p53) :args ((forall @t2 (=> @t14 @t55)))) % 0.19/0.50 (step @p55 :rule trans :premises (@p54 @p47)) % 0.19/0.50 (step @p56 :rule bool-impl-elim :args (@t9 @t8)) % 0.19/0.50 (step @p57 :rule cong :premises (@p56) :args (@t11)) % 0.19/0.50 (step @p58 :rule refl :args (@t12)) % 0.19/0.50 (step @p59 :rule cong :premises (@p58 @p57) :args (@t13)) % 0.19/0.50 (step @p60 :rule refl :args (@t14)) % 0.19/0.50 (step @p61 :rule cong :premises (@p60 @p59) :args (@t15)) % 0.19/0.50 (step @p62 :rule cong :premises (@p61) :args (@t16)) % 0.19/0.50 (step @p63 :rule trans :premises (@p62 @p55)) % 0.19/0.50 (step @p64 :rule eq_resolve :premises (@p5 @p63)) % 0.19/0.50 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t29 @t31))) % 0.19/0.50 (step @p66 :rule cnf_or_pos :args (@t56)) % 0.19/0.50 (step @p67 :rule reordering :premises (@p66) :args ((or @t39 @t38 @t34 @t33 (not @t56)))) % 0.19/0.50 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p34 @p28 @p16 @p15) :args (@t35 (@list false false false true false) (@list @t56 @t37 @t36 @t33 @t32))) % 0.19/0.50 (step @p69 :rule refl :args (@t57)) % 0.19/0.50 (step @p70 :rule bool-double-not-elim :args (@t30)) % 0.19/0.50 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t58) @t57))) % 0.19/0.50 (assume-push @p120 @t58) % 0.19/0.50 (step @p73 :rule skolemize :premises (@p120)) % 0.19/0.50 (step-pop @p121 :rule scope :premises (@p73)) % 0.19/0.50 (step @p74 :rule process_scope :premises (@p121) :args (@t57)) % 0.19/0.50 (step @p76 :rule implies_elim :premises (@p74)) % 0.19/0.50 (step @p77 :rule eq_resolve :premises (@p76 @p71)) % 0.19/0.50 (step @p78 :rule chain_m_resolution :premises (@p77 @p68) :args (@t30 @t59 (@list @t35))) % 0.19/0.50 (step @p79 :rule cnf_or_pos :args (@t60)) % 0.19/0.50 (step @p80 :rule reordering :premises (@p79) :args ((or @t39 @t58 @t61))) % 0.19/0.50 (step @p81 :rule chain_m_resolution :premises (@p80 @p28 @p78) :args (@t61 (@list false false) (@list @t36 @t30))) % 0.19/0.50 (assume-push @p122 @t63) % 0.19/0.50 (step @p83 :rule instantiate :premises (@p122) :args ((@list @t29))) % 0.19/0.50 (step-pop @p123 :rule scope :premises (@p83)) % 0.19/0.50 (step @p84 :rule process_scope :premises (@p123) :args (@t60)) % 0.19/0.50 (step @p86 :rule implies_elim :premises (@p84)) % 0.19/0.50 (step @p87 :rule chain_m_resolution :premises (@p86 @p81) :args ((not @t63) @t41 (@list @t60))) % 0.19/0.50 (step @p88 :rule refl :args (@t63)) % 0.19/0.50 (step @p89 :rule bool-double-not-elim :args (@t64)) % 0.19/0.50 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not (not @t64)) @t63))) % 0.19/0.50 (step @p91 :rule bool-impl-elim :args (@t14 @t62)) % 0.19/0.50 (step @p92 :rule cong :premises (@p91) :args ((forall @t2 (=> @t14 @t62)))) % 0.19/0.50 (step @p93 :rule cong :premises (@p57) :args (@t17)) % 0.19/0.50 (step @p94 :rule cong :premises (@p60 @p93) :args (@t18)) % 0.19/0.50 (step @p95 :rule cong :premises (@p94) :args (@t19)) % 0.19/0.50 (step @p96 :rule trans :premises (@p95 @p92)) % 0.19/0.50 (step @p97 :rule bool-impl-elim :args (@t20 @t12)) % 0.19/0.50 (step @p98 :rule cong :premises (@p97) :args (@t21)) % 0.19/0.50 (step @p99 :rule cong :premises (@p98) :args (@t22)) % 0.19/0.50 (step @p100 :rule cong :premises (@p99 @p96) :args (@t23)) % 0.19/0.50 (step @p101 :rule eq_resolve :premises (@p6 @p100)) % 0.19/0.50 (step @p102 :rule implies_elim :premises (@p101)) % 0.19/0.50 (step @p103 :rule eq_resolve :premises (@p102 @p90)) % 0.19/0.50 (step @p104 :rule chain_m_resolution :premises (@p103 @p87) :args (@t64 @t41 (@list @t63))) % 0.19/0.50 (assume-push @p124 @t64) % 0.19/0.50 (step @p106 :rule instantiate :premises (@p124) :args (@t65)) % 0.19/0.50 (step-pop @p125 :rule scope :premises (@p106)) % 0.19/0.50 (step @p107 :rule process_scope :premises (@p125) :args (@t68)) % 0.19/0.50 (step @p109 :rule implies_elim :premises (@p107)) % 0.19/0.50 (step @p110 :rule chain_m_resolution :premises (@p109 @p104) :args (@t68 @t59 (@list @t64))) % 0.19/0.50 (step @p111 :rule cnf_or_pos :args (@t68)) % 0.19/0.50 (step @p112 :rule reordering :premises (@p111) :args ((or @t24 @t67 (not @t68)))) % 0.19/0.50 (step @p113 :rule chain_m_resolution :premises (@p112 @p7 @p110) :args (@t67 @t69 (@list @t24 @t68))) % 0.19/0.50 (assume-push @p126 @t6) % 0.19/0.50 (step @p115 :rule instantiate :premises (@p3) :args (@t65)) % 0.19/0.50 (step-pop @p127 :rule scope :premises (@p115)) % 0.19/0.50 (step @p116 :rule process_scope :premises (@p127) :args (@t66)) % 0.19/0.50 (step @p118 :rule implies_elim :premises (@p116)) % 0.19/0.50 (step @p119 false :rule chain_m_resolution :premises (@p118 @p113 @p3) :args (false @t69 (@list @t66 @t6))) % 0.19/0.50 ) % 0.19/0.50 % SZS output end Proof % 0.19/0.50 % cvc5 exiting %------------------------------------------------------------------------------