%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL178-3 : TPTP v9.3.1. Released v2.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 11:22:19 AM UTC 2026 % Result : Unsatisfiable 7.52s 7.83s % Output : Proof 7.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL178-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n019.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Sat Sep 5 01:07:53 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 7.52/7.83 % SZS status Unsatisfiable % 7.52/7.83 % SZS output start Proof % 7.52/7.85 ( % 7.52/7.85 (declare-sort $$unsorted 0) % 7.52/7.85 (declare-const tptp.theorem (-> $$unsorted Bool)) % 7.52/7.85 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 7.52/7.85 (declare-const tptp.p $$unsorted) % 7.52/7.85 (declare-const tptp.axiom (-> $$unsorted Bool)) % 7.52/7.85 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 7.52/7.85 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 7.52/7.85 (define @t1 () (@var "A" $$unsorted)) % 7.52/7.85 (define @t2 () (@var "B" $$unsorted)) % 7.52/7.85 (define @t3 () (tptp.or @t2 @t1)) % 7.52/7.85 (define @t4 () (@list @t1 @t2)) % 7.52/7.85 (define @t5 () (@var "C" $$unsorted)) % 7.52/7.85 (define @t6 () (@list @t1 @t2 @t5)) % 7.52/7.85 (define @t7 () (@var "Y" $$unsorted)) % 7.52/7.85 (define @t8 () (@var "X" $$unsorted)) % 7.52/7.85 (define @t9 () (@list @t8 @t7)) % 7.52/7.85 (define @t10 () (tptp.theorem @t8)) % 7.52/7.85 (define @t11 () (tptp.not tptp.p)) % 7.52/7.85 (define @t12 () (tptp.not @t11)) % 7.52/7.85 (define @t13 () (tptp.or @t11 @t12)) % 7.52/7.85 (define @t14 () (tptp.not @t13)) % 7.52/7.85 (define @t15 () (tptp.or @t12 (tptp.or @t14 @t11))) % 7.52/7.85 (define @t16 () (tptp.not @t15)) % 7.52/7.85 (define @t17 () (tptp.or @t16 @t11)) % 7.52/7.85 (define @t18 () (tptp.or @t12 @t17)) % 7.52/7.85 (define @t19 () (tptp.or @t12 @t11)) % 7.52/7.85 (define @t20 () (tptp.or @t16 @t19)) % 7.52/7.85 (define @t21 () (tptp.implies @t18 @t20)) % 7.52/7.85 (define @t22 () (tptp.axiom @t21)) % 7.52/7.85 (define @t23 () (not @t22)) % 7.52/7.85 (define @t24 () (tptp.theorem @t21)) % 7.52/7.85 (define @t25 () (or @t24 @t23)) % 7.52/7.85 (define @t26 () (@list false false)) % 7.52/7.85 (define @t27 () (tptp.or @t14 @t19)) % 7.52/7.85 (define @t28 () (tptp.implies @t27 @t15)) % 7.52/7.85 (define @t29 () (tptp.axiom @t28)) % 7.52/7.85 (define @t30 () (not @t29)) % 7.52/7.85 (define @t31 () (tptp.theorem @t28)) % 7.52/7.85 (define @t32 () (or @t31 @t30)) % 7.52/7.85 (define @t33 () (tptp.implies @t13 @t19)) % 7.52/7.85 (define @t34 () (tptp.axiom @t33)) % 7.52/7.85 (define @t35 () (not @t34)) % 7.52/7.85 (define @t36 () (tptp.theorem @t33)) % 7.52/7.85 (define @t37 () (or @t36 @t35)) % 7.52/7.85 (define @t38 () (@list @t13 @t19)) % 7.52/7.85 (define @t39 () (tptp.theorem @t27)) % 7.52/7.85 (define @t40 () (not @t39)) % 7.52/7.85 (define @t41 () (not @t31)) % 7.52/7.85 (define @t42 () (tptp.theorem @t15)) % 7.52/7.85 (define @t43 () (or @t42 @t41 @t40)) % 7.52/7.85 (define @t44 () (tptp.implies @t19 @t13)) % 7.52/7.85 (define @t45 () (tptp.axiom @t44)) % 7.52/7.85 (define @t46 () (not @t45)) % 7.52/7.85 (define @t47 () (tptp.theorem @t44)) % 7.52/7.85 (define @t48 () (or @t47 @t46)) % 7.52/7.85 (define @t49 () (tptp.theorem @t13)) % 7.52/7.85 (define @t50 () (tptp.theorem @t19)) % 7.52/7.85 (define @t51 () (not @t50)) % 7.52/7.85 (define @t52 () (not @t47)) % 7.52/7.85 (define @t53 () (or @t49 @t52 @t51)) % 7.52/7.85 (define @t54 () (@list true false false)) % 7.52/7.85 (define @t55 () (not @t42)) % 7.52/7.85 (define @t56 () (not (tptp.theorem (tptp.implies @t15 @t19)))) % 7.52/7.85 (define @t57 () (or @t50 @t56 @t55)) % 7.52/7.85 (define @t58 () (tptp.theorem @t20)) % 7.52/7.85 (define @t59 () (tptp.theorem @t18)) % 7.52/7.85 (define @t60 () (not @t59)) % 7.52/7.85 (define @t61 () (not @t24)) % 7.52/7.85 (define @t62 () (or @t58 @t61 @t60)) % 7.52/7.85 (define @t63 () (not (tptp.axiom @t18))) % 7.52/7.85 (define @t64 () (or @t59 @t63)) % 7.52/7.85 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 7.52/7.85 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 7.52/7.85 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 7.52/7.85 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 7.52/7.85 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 7.52/7.85 (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 7.52/7.85 (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8))))) % 7.52/7.85 (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 7.52/7.85 (assume @p9 (not (tptp.theorem (tptp.implies tptp.p @t12)))) % 7.52/7.85 (step @p10 :rule evaluate :args ((= true false))) % 7.52/7.85 (step @p11 :rule instantiate :premises (@p7) :args ((@list @t18))) % 7.52/7.85 (step @p12 :rule instantiate :premises (@p8) :args ((@list @t20 @t18))) % 7.52/7.85 (step @p13 :rule instantiate :premises (@p7) :args ((@list @t21))) % 7.52/7.85 (step @p14 :rule instantiate :premises (@p4) :args ((@list @t12 @t16 @t11))) % 7.52/7.85 (step @p15 :rule cnf_or_pos :args (@t25)) % 7.52/7.85 (step @p16 :rule reordering :premises (@p15) :args ((or @t23 @t24 (not @t25)))) % 7.52/7.85 (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p13) :args (@t24 @t26 (@list @t22 @t25))) % 7.52/7.85 (step @p18 :rule instantiate :premises (@p8) :args ((@list @t19 @t15))) % 7.52/7.85 (step @p19 :rule instantiate :premises (@p8) :args ((@list @t15 @t27))) % 7.52/7.85 (step @p20 :rule instantiate :premises (@p7) :args ((@list @t28))) % 7.52/7.85 (step @p21 :rule instantiate :premises (@p4) :args ((@list @t14 @t12 @t11))) % 7.52/7.85 (step @p22 :rule cnf_or_pos :args (@t32)) % 7.52/7.85 (step @p23 :rule reordering :premises (@p22) :args ((or @t30 @t31 (not @t32)))) % 7.52/7.85 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20) :args (@t31 @t26 (@list @t29 @t32))) % 7.52/7.85 (step @p25 :rule instantiate :premises (@p7) :args ((@list @t33))) % 7.52/7.85 (step @p26 :rule instantiate :premises (@p3) :args ((@list @t11 @t12))) % 7.52/7.85 (step @p27 :rule cnf_or_pos :args (@t37)) % 7.52/7.85 (step @p28 :rule reordering :premises (@p27) :args ((or @t35 @t36 (not @t37)))) % 7.52/7.85 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25) :args (@t36 @t26 (@list @t34 @t37))) % 7.52/7.85 (step @p30 :rule true_intro :premises (@p29)) % 7.52/7.85 (step @p31 :rule instantiate :premises (@p6) :args (@t38)) % 7.52/7.85 (step @p32 :rule symm :premises (@p31)) % 7.52/7.85 (step @p33 :rule cong :premises (@p32) :args (@t39)) % 7.52/7.85 (step @p34 :rule trans :premises (@p33 @p30)) % 7.52/7.85 (step @p35 :rule true_elim :premises (@p34)) % 7.52/7.85 (step @p36 :rule cnf_or_pos :args (@t43)) % 7.52/7.85 (step @p37 :rule reordering :premises (@p36) :args ((or @t40 @t42 @t41 (not @t43)))) % 7.52/7.85 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p24 @p19) :args (@t42 (@list false false false) (@list @t39 @t31 @t43))) % 7.52/7.85 (step @p39 :rule instantiate :premises (@p8) :args (@t38)) % 7.52/7.85 (step @p40 :rule instantiate :premises (@p7) :args ((@list @t44))) % 7.52/7.85 (step @p41 :rule instantiate :premises (@p3) :args ((@list @t12 @t11))) % 7.52/7.85 (step @p42 :rule cnf_or_pos :args (@t48)) % 7.52/7.85 (step @p43 :rule reordering :premises (@p42) :args ((or @t46 @t47 (not @t48)))) % 7.52/7.85 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p40) :args (@t47 @t26 (@list @t45 @t48))) % 7.52/7.85 (step @p45 :rule false_intro :premises (@p9)) % 7.52/7.85 (step @p46 :rule instantiate :premises (@p6) :args ((@list tptp.p @t12))) % 7.52/7.85 (step @p47 :rule symm :premises (@p46)) % 7.52/7.85 (step @p48 :rule cong :premises (@p47) :args (@t49)) % 7.52/7.85 (step @p49 :rule trans :premises (@p48 @p45)) % 7.52/7.85 (step @p50 :rule false_elim :premises (@p49)) % 7.52/7.85 (step @p51 :rule cnf_or_pos :args (@t53)) % 7.52/7.85 (step @p52 :rule reordering :premises (@p51) :args ((or @t49 @t52 @t51 (not @t53)))) % 7.52/7.85 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p44 @p39) :args (@t51 @t54 (@list @t49 @t47 @t53))) % 7.52/7.85 (step @p54 :rule cnf_or_pos :args (@t57)) % 7.52/7.85 (step @p55 :rule reordering :premises (@p54) :args ((or @t50 @t55 @t56 (not @t57)))) % 7.52/7.85 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p38 @p18) :args (@t56 @t54 (@list @t50 @t42 @t57))) % 7.52/7.85 (step @p57 :rule false_intro :premises (@p56)) % 7.52/7.85 (step @p58 :rule instantiate :premises (@p6) :args ((@list @t15 @t19))) % 7.52/7.85 (step @p59 :rule symm :premises (@p58)) % 7.52/7.85 (step @p60 :rule cong :premises (@p59) :args (@t58)) % 7.52/7.85 (step @p61 :rule trans :premises (@p60 @p57)) % 7.52/7.85 (step @p62 :rule false_elim :premises (@p61)) % 7.52/7.85 (step @p63 :rule cnf_or_pos :args (@t62)) % 7.52/7.85 (step @p64 :rule reordering :premises (@p63) :args ((or @t58 @t61 @t60 (not @t62)))) % 7.52/7.85 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p17 @p12) :args (@t60 @t54 (@list @t58 @t24 @t62))) % 7.52/7.85 (step @p66 :rule cnf_or_pos :args (@t64)) % 7.52/7.85 (step @p67 :rule reordering :premises (@p66) :args ((or @t59 @t63 (not @t64)))) % 7.52/7.85 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p11) :args (@t63 (@list true false) (@list @t59 @t64))) % 7.52/7.85 (step @p69 :rule false_intro :premises (@p68)) % 7.52/7.85 (step @p70 :rule instantiate :premises (@p6) :args ((@list @t11 @t17))) % 7.52/7.85 (step @p71 :rule cong :premises (@p70) :args ((tptp.axiom (tptp.implies @t11 @t17)))) % 7.52/7.85 (step @p72 :rule instantiate :premises (@p2) :args ((@list @t11 @t16))) % 7.52/7.85 (step @p73 :rule true_intro :premises (@p72)) % 7.52/7.85 (step @p74 :rule symm :premises (@p73)) % 7.52/7.85 (step @p75 :rule trans :premises (@p74 @p71 @p69)) % 7.52/7.85 (step @p76 false :rule eq_resolve :premises (@p75 @p10)) % 7.52/7.85 ) % 7.52/7.87 % SZS output end Proof % 7.52/7.87 % cvc5 exiting %------------------------------------------------------------------------------