%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ149_13 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:44:19 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 % 0.00/0.13 % Problem : PUZ149_13 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 13:18:16 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----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 |tptp.'$ki_index'| 0) % 0.38/0.58 (declare-sort |tptp.'$ki_world'| 0) % 0.38/0.58 (declare-const |tptp.'#idx(pour_a)'| |tptp.'$ki_index'|) % 0.38/0.58 (declare-const |tptp.'#idx(pour_b)'| |tptp.'$ki_index'|) % 0.38/0.58 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_index'| |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.38/0.58 (declare-const |tptp.'#idx(make_c)'| |tptp.'$ki_index'|) % 0.38/0.58 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.38/0.58 (declare-const tptp.acid (-> |tptp.'$ki_world'| Bool)) % 0.38/0.58 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.38/0.58 (define @t2 () (tptp.acid @t1)) % 0.38/0.58 (define @t3 () (|tptp.'$ki_accessible'| |tptp.'#idx(make_c)'| |tptp.'$ki_local_world'| @t1)) % 0.38/0.58 (define @t4 () (@list @t1)) % 0.38/0.58 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.38/0.58 (define @t6 () (@var "W0" |tptp.'$ki_world'|)) % 0.38/0.58 (define @t7 () (tptp.acid @t6)) % 0.38/0.58 (define @t8 () (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| @t1 @t6)) % 0.38/0.58 (define @t9 () (@list @t6)) % 0.38/0.58 (define @t10 () (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| @t1)) % 0.38/0.58 (define @t11 () (not @t2)) % 0.38/0.58 (define @t12 () (forall @t4 (=> @t3 @t11))) % 0.38/0.58 (define @t13 () (not @t7)) % 0.38/0.58 (define @t14 () (forall @t9 (=> @t8 @t13))) % 0.38/0.58 (define @t15 () (=> @t10 @t14)) % 0.38/0.58 (define @t16 () (forall @t4 @t15)) % 0.38/0.58 (define @t17 () (=> @t16 @t12)) % 0.38/0.58 (define @t18 () (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| @t1 @t6)) % 0.38/0.58 (define @t19 () (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| |tptp.'$ki_local_world'| @t1)) % 0.38/0.58 (define @t20 () (forall @t4 (=> @t10 @t11))) % 0.38/0.58 (define @t21 () (and @t3 @t2)) % 0.38/0.58 (define @t22 () (exists @t4 @t21)) % 0.38/0.58 (define @t23 () (and @t8 @t7)) % 0.38/0.58 (define @t24 () (exists @t9 @t23)) % 0.38/0.58 (define @t25 () (and @t10 @t24)) % 0.38/0.58 (define @t26 () (exists @t4 @t25)) % 0.38/0.58 (define @t27 () (and @t10 @t11)) % 0.38/0.58 (define @t28 () (exists @t4 @t27)) % 0.38/0.58 (define @t29 () (and @t28 @t26)) % 0.38/0.58 (define @t30 () (not @t29)) % 0.38/0.58 (define @t31 () (forall @t4 (not @t21))) % 0.38/0.58 (define @t32 () (not @t31)) % 0.38/0.58 (define @t33 () (@var "BOUND_VARIABLE_7496" |tptp.'$ki_world'|)) % 0.38/0.58 (define @t34 () (not (tptp.acid @t33))) % 0.38/0.58 (define @t35 () (not (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| @t1 @t33))) % 0.38/0.58 (define @t36 () (not @t10)) % 0.38/0.58 (define @t37 () (or @t36 @t35 @t34)) % 0.38/0.58 (define @t38 () (or @t35 @t34)) % 0.38/0.58 (define @t39 () (or @t36 @t38)) % 0.38/0.58 (define @t40 () (@list @t1 @t33)) % 0.38/0.58 (define @t41 () (forall @t40 @t39)) % 0.38/0.58 (define @t42 () (@list @t33)) % 0.38/0.58 (define @t43 () (forall @t42 @t39)) % 0.38/0.58 (define @t44 () (forall @t42 @t38)) % 0.38/0.58 (define @t45 () (or @t36 @t44)) % 0.38/0.58 (define @t46 () (forall @t9 (or (not @t8) @t13))) % 0.38/0.58 (define @t47 () (forall @t40 @t37)) % 0.38/0.58 (define @t48 () (not @t47)) % 0.38/0.58 (define @t49 () (forall @t4 (or (not @t3) @t11))) % 0.38/0.58 (define @t50 () (@list true)) % 0.38/0.58 (define @t51 () (@quantifiers_skolemize @t47 0)) % 0.38/0.58 (define @t52 () (|tptp.'$ki_accessible'| |tptp.'#idx(pour_a)'| |tptp.'$ki_local_world'| @t51)) % 0.38/0.58 (define @t53 () (@quantifiers_skolemize @t47 1)) % 0.38/0.58 (define @t54 () (not @t52)) % 0.38/0.58 (define @t55 () (or @t54 (not (|tptp.'$ki_accessible'| |tptp.'#idx(pour_b)'| @t51 @t53)) (not (tptp.acid @t53)))) % 0.38/0.58 (define @t56 () (forall @t4 (or @t36 @t2))) % 0.38/0.58 (define @t57 () (not @t46)) % 0.38/0.58 (define @t58 () (and @t10 @t57)) % 0.38/0.58 (define @t59 () (forall @t4 (not @t58))) % 0.38/0.58 (define @t60 () (not @t59)) % 0.38/0.58 (define @t61 () (forall @t9 (not @t23))) % 0.38/0.58 (define @t62 () (not @t61)) % 0.38/0.58 (define @t63 () (forall @t4 (not @t27))) % 0.38/0.58 (define @t64 () (not @t63)) % 0.38/0.58 (define @t65 () (@list @t51)) % 0.38/0.58 (define @t66 () (tptp.acid @t51)) % 0.38/0.58 (define @t67 () (not @t66)) % 0.38/0.58 (define @t68 () (or @t54 @t67)) % 0.38/0.58 (define @t69 () (or @t54 @t66)) % 0.38/0.58 (assume @p1 (=> (forall @t4 (=> @t10 (forall @t9 (=> @t8 @t7)))) @t5)) % 0.38/0.58 (assume @p2 @t17) % 0.38/0.58 (assume @p3 (=> (forall @t4 (=> @t19 (forall @t9 (=> @t18 @t7)))) @t5)) % 0.38/0.58 (assume @p4 (=> (forall @t4 (=> @t19 (forall @t9 (=> @t18 @t13)))) @t12)) % 0.38/0.58 (assume @p5 @t20) % 0.38/0.58 (assume @p6 @t22) % 0.38/0.58 (assume @p7 @t30) % 0.38/0.58 (assume @p8 true) % 0.38/0.58 (step @p9 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.38/0.58 (step @p10 :rule cong :premises (@p9) :args (@t31)) % 0.38/0.58 (step @p11 :rule cong :premises (@p10) :args (@t32)) % 0.38/0.58 (step @p12 :rule exists-elim :args ((= @t22 @t32))) % 0.38/0.58 (step @p13 :rule trans :premises (@p12 @p11)) % 0.38/0.58 (step @p14 :rule eq_resolve :premises (@p6 @p13)) % 0.38/0.58 (step @p15 :rule bool-impl-elim :args (@t3 @t11)) % 0.38/0.58 (step @p16 :rule cong :premises (@p15) :args (@t12)) % 0.38/0.58 (step @p17 :rule aci_norm :args ((= @t39 @t37))) % 0.38/0.58 (step @p18 :rule cong :premises (@p17) :args (@t41)) % 0.38/0.58 (step @p19 :rule quant-merge-prenex :args ((= (forall @t4 @t43) @t41))) % 0.38/0.58 (step @p20 :rule alpha_equiv :args (@t44 (@list @t33) (@list @t6))) % 0.38/0.58 (step @p21 :rule refl :args (@t36)) % 0.38/0.58 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t45)) % 0.38/0.58 (step @p23 :rule quant-miniscope-or :args ((= @t43 @t45))) % 0.38/0.58 (step @p24 :rule trans :premises (@p23 @p22)) % 0.38/0.58 (step @p25 :rule symm :premises (@p24)) % 0.38/0.58 (step @p26 :rule cong :premises (@p25) :args ((forall @t4 (or @t36 @t46)))) % 0.38/0.58 (step @p27 :rule trans :premises (@p26 @p19)) % 0.38/0.58 (step @p28 :rule trans :premises (@p27 @p18)) % 0.38/0.58 (step @p29 :rule bool-impl-elim :args (@t10 @t46)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29) :args ((forall @t4 (=> @t10 @t46)))) % 0.38/0.58 (step @p31 :rule trans :premises (@p30 @p28)) % 0.38/0.58 (step @p32 :rule bool-impl-elim :args (@t8 @t13)) % 0.38/0.58 (step @p33 :rule cong :premises (@p32) :args (@t14)) % 0.38/0.58 (step @p34 :rule refl :args (@t10)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34 @p33) :args (@t15)) % 0.38/0.58 (step @p36 :rule cong :premises (@p35) :args (@t16)) % 0.38/0.58 (step @p37 :rule trans :premises (@p36 @p31)) % 0.38/0.58 (step @p38 :rule cong :premises (@p37 @p16) :args (@t17)) % 0.38/0.58 (step @p39 :rule eq_resolve :premises (@p2 @p38)) % 0.38/0.58 (step @p40 :rule implies_elim :premises (@p39)) % 0.38/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t49 @t48))) % 0.38/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p14) :args (@t48 @t50 (@list @t49))) % 0.38/0.58 (step @p43 :rule skolemize :premises (@p42)) % 0.38/0.58 (step @p44 :rule bool-double-not-elim :args (@t52)) % 0.38/0.58 (step @p45 :rule refl :args (@t55)) % 0.38/0.58 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t55 (not @t54)))) % 0.38/0.58 (step @p47 :rule cnf_or_neg :args (@t55 0)) % 0.38/0.58 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.38/0.58 (step @p49 :rule reordering :premises (@p48) :args ((or @t52 @t55))) % 0.38/0.58 (step @p50 :rule chain_m_resolution :premises (@p49 @p43) :args (@t52 @t50 (@list @t55))) % 0.38/0.58 (step @p51 :rule bool-double-not-elim :args (@t47)) % 0.38/0.58 (step @p52 :rule bool-double-not-elim :args (@t56)) % 0.38/0.58 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not (not @t56)) (not @t48)))) % 0.38/0.58 (step @p54 :rule bool-double-not-elim :args (@t46)) % 0.38/0.58 (step @p55 :rule nary_cong :premises (@p21 @p54) :args ((or @t36 (not @t57)))) % 0.38/0.58 (step @p56 :rule bool-and-de-morgan :args (@t10 @t57 true)) % 0.38/0.58 (step @p57 :rule trans :premises (@p56 @p55)) % 0.38/0.58 (step @p58 :rule cong :premises (@p57) :args (@t59)) % 0.38/0.58 (step @p59 :rule trans :premises (@p58 @p28)) % 0.38/0.58 (step @p60 :rule cong :premises (@p59) :args (@t60)) % 0.38/0.58 (step @p61 :rule exists-elim :args ((= (exists @t4 @t58) @t60))) % 0.38/0.58 (step @p62 :rule trans :premises (@p61 @p60)) % 0.38/0.58 (step @p63 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63) :args (@t61)) % 0.38/0.58 (step @p65 :rule cong :premises (@p64) :args (@t62)) % 0.38/0.58 (step @p66 :rule exists-elim :args ((= @t24 @t62))) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p65)) % 0.38/0.58 (step @p68 :rule nary_cong :premises (@p34 @p67) :args (@t25)) % 0.38/0.58 (step @p69 :rule cong :premises (@p68) :args (@t26)) % 0.38/0.58 (step @p70 :rule trans :premises (@p69 @p62)) % 0.38/0.58 (step @p71 :rule bool-double-not-elim :args (@t2)) % 0.38/0.58 (step @p72 :rule nary_cong :premises (@p21 @p71) :args ((or @t36 (not @t11)))) % 0.38/0.58 (step @p73 :rule bool-and-de-morgan :args (@t10 @t11 true)) % 0.38/0.58 (step @p74 :rule trans :premises (@p73 @p72)) % 0.38/0.58 (step @p75 :rule cong :premises (@p74) :args (@t63)) % 0.38/0.58 (step @p76 :rule cong :premises (@p75) :args (@t64)) % 0.38/0.58 (step @p77 :rule exists-elim :args ((= @t28 @t64))) % 0.38/0.58 (step @p78 :rule trans :premises (@p77 @p76)) % 0.38/0.58 (step @p79 :rule nary_cong :premises (@p78 @p70) :args (@t29)) % 0.38/0.58 (step @p80 :rule cong :premises (@p79) :args (@t30)) % 0.38/0.58 (step @p81 :rule eq_resolve :premises (@p7 @p80)) % 0.38/0.58 (step @p82 :rule not_and :premises (@p81)) % 0.38/0.58 (step @p83 :rule eq_resolve :premises (@p82 @p53)) % 0.38/0.58 (step @p84 :rule reordering :premises (@p83) :args ((or @t47 @t56))) % 0.38/0.58 (step @p85 :rule chain_m_resolution :premises (@p84 @p42) :args (@t56 @t50 (@list @t47))) % 0.38/0.58 (step @p86 :rule instantiate :premises (@p85) :args (@t65)) % 0.38/0.58 (step @p87 :rule bool-impl-elim :args (@t10 @t11)) % 0.38/0.59 (step @p88 :rule cong :premises (@p87) :args (@t20)) % 0.38/0.59 (step @p89 :rule eq_resolve :premises (@p5 @p88)) % 0.38/0.59 (step @p90 :rule instantiate :premises (@p89) :args (@t65)) % 0.38/0.59 (step @p91 :rule cnf_or_pos :args (@t68)) % 0.38/0.59 (step @p92 :rule reordering :premises (@p91) :args ((or @t54 @t67 (not @t68)))) % 0.38/0.59 (step @p93 :rule chain_m_resolution :premises (@p92 @p50 @p90) :args (@t67 (@list false false) (@list @t52 @t68))) % 0.38/0.59 (step @p94 :rule cnf_or_pos :args (@t69)) % 0.38/0.59 (step @p95 :rule reordering :premises (@p94) :args ((or @t54 @t66 (not @t69)))) % 0.38/0.59 (step @p96 false :rule chain_m_resolution :premises (@p95 @p93 @p86 @p50) :args (false (@list true false false) (@list @t66 @t69 @t52))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------