%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS150+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:29:01 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS150+1 : TPTP v9.2.1. Released v3.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:29:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.iV16561 $$unsorted) % 0.38/0.57 (declare-const tptp.iV16562 $$unsorted) % 0.38/0.57 (declare-const tptp.iV16560 $$unsorted) % 0.38/0.57 (declare-const tptp.cC6 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cC2 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.rR1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cTEST (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cC16 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cC10 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cC4 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cC12 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cC14 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cC8 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cTOP (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cC18 (-> $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.38/0.57 (define @t3 () (tptp.cowlThing @t1)) % 0.38/0.57 (define @t4 () (@list @t1)) % 0.38/0.57 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.38/0.57 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.38/0.57 (define @t7 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t8 () (tptp.rR1 @t1 @t7)) % 0.38/0.57 (define @t9 () (@list @t7)) % 0.38/0.57 (define @t10 () (exists @t9 (and @t8 (not (tptp.cC2 @t7))))) % 0.38/0.57 (define @t11 () (tptp.cC10 @t1)) % 0.38/0.57 (define @t12 () (tptp.cC2 @t1)) % 0.38/0.57 (define @t13 () (not @t12)) % 0.38/0.57 (define @t14 () (tptp.cC14 @t1)) % 0.38/0.57 (define @t15 () (tptp.cC8 @t1)) % 0.38/0.57 (define @t16 () (tptp.cC16 @t1)) % 0.38/0.57 (define @t17 () (tptp.cTOP @t1)) % 0.38/0.57 (define @t18 () (tptp.cC18 @t1)) % 0.38/0.57 (define @t19 () (tptp.cC4 @t1)) % 0.38/0.57 (define @t20 () (tptp.cTOP tptp.iV16560)) % 0.38/0.57 (define @t21 () (tptp.cTEST tptp.iV16560)) % 0.38/0.57 (define @t22 () (tptp.cowlThing tptp.iV16560)) % 0.38/0.57 (define @t23 () (tptp.cC4 tptp.iV16561)) % 0.38/0.57 (define @t24 () (not @t23)) % 0.38/0.57 (define @t25 () (tptp.cowlThing tptp.iV16561)) % 0.38/0.57 (define @t26 () (tptp.cC2 tptp.iV16561)) % 0.38/0.57 (define @t27 () (not @t26)) % 0.38/0.57 (define @t28 () (tptp.cC10 tptp.iV16562)) % 0.38/0.57 (define @t29 () (not @t28)) % 0.38/0.57 (define @t30 () (tptp.cC2 tptp.iV16562)) % 0.38/0.57 (define @t31 () (not @t30)) % 0.38/0.57 (define @t32 () (tptp.cowlThing tptp.iV16562)) % 0.38/0.57 (define @t33 () (tptp.cC12 tptp.iV16562)) % 0.38/0.57 (define @t34 () (tptp.cC6 tptp.iV16561)) % 0.38/0.57 (define @t35 () (tptp.cC8 tptp.iV16560)) % 0.38/0.57 (define @t36 () (tptp.cC14 tptp.iV16560)) % 0.38/0.57 (define @t37 () (tptp.cC16 tptp.iV16560)) % 0.38/0.57 (define @t38 () (tptp.cC18 tptp.iV16560)) % 0.38/0.57 (define @t39 () (and @t5 @t6 @t38 @t37 @t22 @t36 @t35 @t25 @t34 @t32 @t33)) % 0.38/0.57 (define @t40 () (not @t39)) % 0.38/0.57 (define @t41 () (forall @t4 @t2)) % 0.38/0.57 (define @t42 () (@list @t1)) % 0.38/0.57 (define @t43 () (@var "BOUND_VARIABLE_7524" $$unsorted)) % 0.38/0.57 (define @t44 () (forall @t4 @t3)) % 0.38/0.57 (define @t45 () (@var "BOUND_VARIABLE_7519" $$unsorted)) % 0.38/0.57 (define @t46 () (and @t44 @t41)) % 0.38/0.57 (define @t47 () (and @t31 @t29)) % 0.38/0.57 (define @t48 () (@list true true)) % 0.38/0.57 (define @t49 () (= @t33 @t47)) % 0.38/0.57 (define @t50 () (@list false false)) % 0.38/0.57 (define @t51 () (and @t27 @t24)) % 0.38/0.57 (define @t52 () (= @t34 @t51)) % 0.38/0.57 (define @t53 () (@list tptp.iV16560)) % 0.38/0.57 (define @t54 () (and @t38 @t20)) % 0.38/0.57 (define @t55 () (= @t21 @t54)) % 0.38/0.57 (define @t56 () (@list false)) % 0.38/0.57 (define @t57 () (and @t20 @t37)) % 0.38/0.57 (define @t58 () (= @t38 @t57)) % 0.38/0.57 (define @t59 () (not @t38)) % 0.38/0.57 (define @t60 () (and @t36 @t35)) % 0.38/0.57 (define @t61 () (= @t37 @t60)) % 0.38/0.57 (define @t62 () (not @t37)) % 0.38/0.57 (define @t63 () (not @t60)) % 0.38/0.57 (define @t64 () (@list @t60)) % 0.38/0.57 (define @t65 () (forall (@list @t43) (not (tptp.cowlNothing @t43)))) % 0.38/0.57 (define @t66 () (forall (@list @t45) (tptp.cowlThing @t45))) % 0.38/0.57 (assume @p1 @t5) % 0.38/0.57 (assume @p2 @t6) % 0.38/0.57 (assume @p3 (forall @t4 (= @t11 @t10))) % 0.38/0.57 (assume @p4 (forall @t4 (= (tptp.cC12 @t1) (and @t13 (not @t11))))) % 0.38/0.57 (assume @p5 (forall @t4 (= @t14 (exists @t9 (and @t8 (tptp.cC12 @t7)))))) % 0.38/0.57 (assume @p6 (forall @t4 (= @t16 (and @t14 @t15)))) % 0.38/0.57 (assume @p7 (forall @t4 (= @t18 (and @t17 @t16)))) % 0.38/0.57 (assume @p8 (forall @t4 (= @t19 @t10))) % 0.38/0.57 (assume @p9 (forall @t4 (= (tptp.cC6 @t1) (and @t13 (not @t19))))) % 0.38/0.57 (assume @p10 (forall @t4 (= @t15 (exists @t9 (and @t8 (tptp.cC6 @t7)))))) % 0.38/0.57 (assume @p11 (forall @t4 (= (tptp.cTEST @t1) (and @t18 @t17)))) % 0.38/0.57 (assume @p12 @t20) % 0.38/0.57 (assume @p13 @t21) % 0.38/0.57 (assume @p14 @t22) % 0.38/0.57 (assume @p15 (tptp.rR1 tptp.iV16560 tptp.iV16562)) % 0.38/0.57 (assume @p16 (tptp.rR1 tptp.iV16560 tptp.iV16561)) % 0.38/0.57 (assume @p17 @t24) % 0.38/0.57 (assume @p18 @t25) % 0.38/0.57 (assume @p19 (forall @t4 (=> (tptp.rR1 tptp.iV16561 @t1) @t12))) % 0.38/0.57 (assume @p20 @t27) % 0.38/0.57 (assume @p21 @t29) % 0.38/0.57 (assume @p22 @t31) % 0.38/0.57 (assume @p23 @t32) % 0.38/0.57 (assume @p24 (forall @t4 (=> (tptp.rR1 tptp.iV16562 @t1) @t12))) % 0.38/0.57 (assume @p25 @t40) % 0.38/0.57 (assume @p26 true) % 0.38/0.57 (step @p27 :rule alpha_equiv :args (@t41 @t42 (@list @t43))) % 0.38/0.57 (step @p28 :rule alpha_equiv :args (@t44 @t42 (@list @t45))) % 0.38/0.57 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t46)) % 0.38/0.57 (step @p30 :rule quant-miniscope-and :args ((= @t5 @t46))) % 0.38/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.57 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 0.38/0.57 (step @p33 :rule and_elim :premises (@p32) :args (0)) % 0.38/0.57 (step @p34 :rule and_elim :premises (@p32) :args (1)) % 0.38/0.57 (step @p35 :rule instantiate :premises (@p4) :args ((@list tptp.iV16562))) % 0.38/0.57 (step @p36 :rule bool-double-not-elim :args (@t28)) % 0.38/0.57 (step @p37 :rule bool-double-not-elim :args (@t30)) % 0.38/0.57 (step @p38 :rule refl :args (@t47)) % 0.38/0.57 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args ((or @t47 (not @t31) (not @t29)))) % 0.38/0.57 (step @p40 :rule cnf_and_neg :args (@t47)) % 0.38/0.57 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.38/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t28 @t30 @t47))) % 0.38/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p21 @p22) :args (@t47 @t48 (@list @t28 @t30))) % 0.38/0.57 (step @p44 :rule cnf_equiv_pos2 :args (@t49)) % 0.38/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t33 (not @t47) (not @t49)))) % 0.38/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p35) :args (@t33 @t50 (@list @t47 @t49))) % 0.38/0.57 (step @p47 :rule instantiate :premises (@p9) :args ((@list tptp.iV16561))) % 0.38/0.57 (step @p48 :rule bool-double-not-elim :args (@t23)) % 0.38/0.57 (step @p49 :rule bool-double-not-elim :args (@t26)) % 0.38/0.57 (step @p50 :rule refl :args (@t51)) % 0.38/0.57 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args ((or @t51 (not @t27) (not @t24)))) % 0.38/0.57 (step @p52 :rule cnf_and_neg :args (@t51)) % 0.38/0.57 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.38/0.57 (step @p54 :rule reordering :premises (@p53) :args ((or @t23 @t26 @t51))) % 0.38/0.57 (step @p55 :rule chain_m_resolution :premises (@p54 @p17 @p20) :args (@t51 @t48 (@list @t23 @t26))) % 0.38/0.57 (step @p56 :rule cnf_equiv_pos2 :args (@t52)) % 0.38/0.57 (step @p57 :rule reordering :premises (@p56) :args ((or @t34 (not @t51) (not @t52)))) % 0.38/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p47) :args (@t34 @t50 (@list @t51 @t52))) % 0.38/0.57 (step @p59 :rule instantiate :premises (@p7) :args (@t53)) % 0.38/0.57 (step @p60 :rule instantiate :premises (@p11) :args (@t53)) % 0.38/0.57 (step @p61 :rule cnf_equiv_pos1 :args (@t55)) % 0.38/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or (not @t21) @t54 (not @t55)))) % 0.38/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p13 @p60) :args (@t54 @t50 (@list @t21 @t55))) % 0.38/0.57 (step @p64 :rule cnf_and_pos :args (@t54 0)) % 0.38/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t38 (not @t54)))) % 0.38/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t38 @t56 (@list @t54))) % 0.38/0.57 (step @p67 :rule cnf_equiv_pos1 :args (@t58)) % 0.38/0.57 (step @p68 :rule reordering :premises (@p67) :args ((or @t59 @t57 (not @t58)))) % 0.38/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p59) :args (@t57 @t50 (@list @t38 @t58))) % 0.38/0.57 (step @p70 :rule cnf_and_pos :args (@t57 1)) % 0.38/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t37 (not @t57)))) % 0.38/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p69) :args (@t37 @t56 (@list @t57))) % 0.38/0.57 (step @p73 :rule instantiate :premises (@p6) :args (@t53)) % 0.38/0.57 (step @p74 :rule cnf_equiv_pos1 :args (@t61)) % 0.38/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t62 @t60 (not @t61)))) % 0.38/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p72 @p73) :args (@t60 @t50 (@list @t37 @t61))) % 0.38/0.57 (step @p77 :rule cnf_and_pos :args (@t60 0)) % 0.38/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t36 @t63))) % 0.38/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p76) :args (@t36 @t56 @t64)) % 0.38/0.57 (step @p80 :rule cnf_and_pos :args (@t60 1)) % 0.38/0.58 (step @p81 :rule reordering :premises (@p80) :args ((or @t35 @t63))) % 0.38/0.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p76) :args (@t35 @t56 @t64)) % 0.38/0.58 (step @p83 :rule aci_norm :args ((= (and (and @t66 @t65) @t6 @t38 @t37 @t22 @t36 @t35 @t25 @t34 @t32 @t33) (and @t6 @t38 @t37 @t22 @t36 @t35 @t25 @t34 @t32 @t33 @t66 @t65)))) % 0.38/0.58 (step @p84 :rule refl :args (@t33)) % 0.38/0.58 (step @p85 :rule refl :args (@t32)) % 0.38/0.58 (step @p86 :rule refl :args (@t34)) % 0.38/0.58 (step @p87 :rule refl :args (@t25)) % 0.38/0.58 (step @p88 :rule refl :args (@t35)) % 0.38/0.58 (step @p89 :rule refl :args (@t36)) % 0.38/0.58 (step @p90 :rule refl :args (@t22)) % 0.38/0.58 (step @p91 :rule refl :args (@t37)) % 0.38/0.58 (step @p92 :rule refl :args (@t38)) % 0.38/0.58 (step @p93 :rule refl :args (@t6)) % 0.38/0.58 (step @p94 :rule nary_cong :premises (@p31 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84) :args (@t39)) % 0.38/0.58 (step @p95 :rule trans :premises (@p94 @p83)) % 0.38/0.58 (step @p96 :rule cong :premises (@p95) :args (@t40)) % 0.38/0.58 (step @p97 :rule eq_resolve :premises (@p25 @p96)) % 0.38/0.58 (step @p98 :rule not_and :premises (@p97)) % 0.38/0.58 (step @p99 :rule reordering :premises (@p98) :args ((or (not @t66) (not @t65) (not @t6) (not @t22) (not @t25) (not @t32) @t59 @t62 (not @t36) (not @t35) (not @t34) (not @t33)))) % 0.38/0.58 (step @p100 false :rule chain_m_resolution :premises (@p99 @p82 @p79 @p66 @p72 @p58 @p46 @p23 @p18 @p14 @p2 @p34 @p33) :args (false (@list false false false false false false false false false false false false) (@list @t35 @t36 @t38 @t37 @t34 @t33 @t32 @t25 @t22 @t6 @t65 @t66))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------