%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL311-3 : 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 : n016.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 11:22:37 AM UTC 2026 % Result : Unsatisfiable 11.23s 11.55s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL311-3 : TPTP v9.3.1. Released v2.3.0. % 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 : n016.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 20:42:45 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.09/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 11.23/11.55 % SZS status Unsatisfiable % 11.23/11.55 % SZS output start Proof % 11.23/11.56 ( % 11.23/11.56 (declare-sort $$unsorted 0) % 11.23/11.56 (declare-const tptp.p $$unsorted) % 11.23/11.56 (declare-const tptp.theorem (-> $$unsorted Bool)) % 11.23/11.56 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 11.23/11.56 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 11.23/11.56 (declare-const tptp.axiom (-> $$unsorted Bool)) % 11.23/11.56 (declare-const tptp.equivalent (-> $$unsorted $$unsorted $$unsorted)) % 11.23/11.56 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 11.23/11.56 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 11.23/11.56 (define @t1 () (@var "A" $$unsorted)) % 11.23/11.56 (define @t2 () (@var "B" $$unsorted)) % 11.23/11.56 (define @t3 () (tptp.or @t2 @t1)) % 11.23/11.56 (define @t4 () (@list @t1 @t2)) % 11.23/11.56 (define @t5 () (@var "C" $$unsorted)) % 11.23/11.56 (define @t6 () (@list @t1 @t2 @t5)) % 11.23/11.56 (define @t7 () (@var "Y" $$unsorted)) % 11.23/11.56 (define @t8 () (@var "X" $$unsorted)) % 11.23/11.56 (define @t9 () (@list @t8 @t7)) % 11.23/11.56 (define @t10 () (tptp.theorem @t8)) % 11.23/11.56 (define @t11 () (@var "Q" $$unsorted)) % 11.23/11.56 (define @t12 () (@var "P" $$unsorted)) % 11.23/11.56 (define @t13 () (@list @t12 @t11)) % 11.23/11.56 (define @t14 () (tptp.not tptp.p)) % 11.23/11.56 (define @t15 () (tptp.implies tptp.p @t14)) % 11.23/11.56 (define @t16 () (tptp.or @t14 @t14)) % 11.23/11.56 (define @t17 () (tptp.implies @t16 @t14)) % 11.23/11.56 (define @t18 () (tptp.axiom @t17)) % 11.23/11.56 (define @t19 () (not @t18)) % 11.23/11.56 (define @t20 () (tptp.theorem @t17)) % 11.23/11.56 (define @t21 () (or @t20 @t19)) % 11.23/11.56 (define @t22 () (@list false false)) % 11.23/11.56 (define @t23 () (tptp.implies @t15 @t14)) % 11.23/11.56 (define @t24 () (tptp.theorem @t23)) % 11.23/11.56 (define @t25 () (tptp.implies @t14 @t15)) % 11.23/11.56 (define @t26 () (tptp.not @t25)) % 11.23/11.56 (define @t27 () (tptp.not @t23)) % 11.23/11.56 (define @t28 () (tptp.or @t27 @t26)) % 11.23/11.56 (define @t29 () (tptp.not @t28)) % 11.23/11.56 (define @t30 () (tptp.or @t29 @t27)) % 11.23/11.56 (define @t31 () (tptp.or @t27 @t29)) % 11.23/11.56 (define @t32 () (tptp.implies @t30 @t31)) % 11.23/11.56 (define @t33 () (tptp.axiom @t32)) % 11.23/11.56 (define @t34 () (not @t33)) % 11.23/11.56 (define @t35 () (tptp.theorem @t32)) % 11.23/11.56 (define @t36 () (or @t35 @t34)) % 11.23/11.56 (define @t37 () (tptp.or @t26 @t27)) % 11.23/11.56 (define @t38 () (tptp.or @t29 @t37)) % 11.23/11.56 (define @t39 () (tptp.or @t26 @t30)) % 11.23/11.56 (define @t40 () (tptp.implies @t38 @t39)) % 11.23/11.56 (define @t41 () (tptp.axiom @t40)) % 11.23/11.56 (define @t42 () (not @t41)) % 11.23/11.56 (define @t43 () (tptp.theorem @t40)) % 11.23/11.56 (define @t44 () (or @t43 @t42)) % 11.23/11.56 (define @t45 () (tptp.implies @t28 @t37)) % 11.23/11.56 (define @t46 () (tptp.axiom @t45)) % 11.23/11.56 (define @t47 () (not @t46)) % 11.23/11.56 (define @t48 () (tptp.theorem @t45)) % 11.23/11.56 (define @t49 () (or @t48 @t47)) % 11.23/11.56 (define @t50 () (tptp.theorem @t38)) % 11.23/11.56 (define @t51 () (not @t50)) % 11.23/11.56 (define @t52 () (not @t43)) % 11.23/11.56 (define @t53 () (tptp.theorem @t39)) % 11.23/11.56 (define @t54 () (or @t53 @t52 @t51)) % 11.23/11.56 (define @t55 () (@list false false false)) % 11.23/11.56 (define @t56 () (tptp.theorem (tptp.implies @t25 @t30))) % 11.23/11.56 (define @t57 () (tptp.implies @t14 @t16)) % 11.23/11.56 (define @t58 () (tptp.axiom @t57)) % 11.23/11.56 (define @t59 () (not @t58)) % 11.23/11.56 (define @t60 () (tptp.theorem @t57)) % 11.23/11.56 (define @t61 () (or @t60 @t59)) % 11.23/11.56 (define @t62 () (tptp.theorem @t25)) % 11.23/11.56 (define @t63 () (not @t62)) % 11.23/11.56 (define @t64 () (not @t56)) % 11.23/11.56 (define @t65 () (tptp.theorem @t30)) % 11.23/11.56 (define @t66 () (or @t65 @t64 @t63)) % 11.23/11.56 (define @t67 () (not @t65)) % 11.23/11.56 (define @t68 () (not @t35)) % 11.23/11.56 (define @t69 () (tptp.theorem @t31)) % 11.23/11.56 (define @t70 () (or @t69 @t68 @t67)) % 11.23/11.56 (define @t71 () (tptp.theorem (tptp.implies @t23 @t29))) % 11.23/11.56 (define @t72 () (tptp.theorem @t29)) % 11.23/11.56 (define @t73 () (not @t24)) % 11.23/11.56 (define @t74 () (not @t71)) % 11.23/11.56 (define @t75 () (or @t72 @t74 @t73)) % 11.23/11.56 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 11.23/11.56 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 11.23/11.56 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 11.23/11.56 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 11.23/11.56 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 11.23/11.56 (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 11.23/11.56 (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8))))) % 11.23/11.56 (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 11.23/11.56 (assume @p9 (forall @t13 (= (tptp.and @t12 @t11) (tptp.not (tptp.or (tptp.not @t12) (tptp.not @t11)))))) % 11.23/11.56 (assume @p10 (forall @t13 (= (tptp.equivalent @t12 @t11) (tptp.and (tptp.implies @t12 @t11) (tptp.implies @t11 @t12))))) % 11.23/11.56 (assume @p11 (not (tptp.theorem (tptp.equivalent @t15 @t14)))) % 11.23/11.56 (step @p12 :rule instantiate :premises (@p7) :args ((@list @t17))) % 11.23/11.56 (step @p13 :rule instantiate :premises (@p1) :args ((@list @t14))) % 11.23/11.56 (step @p14 :rule cnf_or_pos :args (@t21)) % 11.23/11.56 (step @p15 :rule reordering :premises (@p14) :args ((or @t19 @t20 (not @t21)))) % 11.23/11.56 (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p12) :args (@t20 @t22 (@list @t18 @t21))) % 11.23/11.56 (step @p17 :rule true_intro :premises (@p16)) % 11.23/11.56 (step @p18 :rule refl :args (@t14)) % 11.23/11.56 (step @p19 :rule instantiate :premises (@p6) :args ((@list tptp.p @t14))) % 11.23/11.56 (step @p20 :rule cong :premises (@p19 @p18) :args (@t23)) % 11.23/11.56 (step @p21 :rule cong :premises (@p20) :args (@t24)) % 11.23/11.56 (step @p22 :rule trans :premises (@p21 @p17)) % 11.23/11.56 (step @p23 :rule true_elim :premises (@p22)) % 11.23/11.56 (step @p24 :rule instantiate :premises (@p8) :args ((@list @t29 @t23))) % 11.23/11.56 (step @p25 :rule instantiate :premises (@p8) :args ((@list @t31 @t30))) % 11.23/11.56 (step @p26 :rule instantiate :premises (@p7) :args ((@list @t32))) % 11.23/11.56 (step @p27 :rule instantiate :premises (@p3) :args ((@list @t29 @t27))) % 11.23/11.56 (step @p28 :rule cnf_or_pos :args (@t36)) % 11.23/11.56 (step @p29 :rule reordering :premises (@p28) :args ((or @t34 @t35 (not @t36)))) % 11.23/11.56 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26) :args (@t35 @t22 (@list @t33 @t36))) % 11.23/11.56 (step @p31 :rule instantiate :premises (@p8) :args ((@list @t30 @t25))) % 11.23/11.56 (step @p32 :rule instantiate :premises (@p8) :args ((@list @t39 @t38))) % 11.23/11.56 (step @p33 :rule instantiate :premises (@p7) :args ((@list @t40))) % 11.23/11.56 (step @p34 :rule instantiate :premises (@p4) :args ((@list @t29 @t26 @t27))) % 11.23/11.56 (step @p35 :rule cnf_or_pos :args (@t44)) % 11.23/11.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t42 @t43 (not @t44)))) % 11.23/11.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p33) :args (@t43 @t22 (@list @t41 @t44))) % 11.23/11.56 (step @p38 :rule instantiate :premises (@p7) :args ((@list @t45))) % 11.23/11.56 (step @p39 :rule instantiate :premises (@p3) :args ((@list @t27 @t26))) % 11.23/11.56 (step @p40 :rule cnf_or_pos :args (@t49)) % 11.23/11.56 (step @p41 :rule reordering :premises (@p40) :args ((or @t47 @t48 (not @t49)))) % 11.23/11.56 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p38) :args (@t48 @t22 (@list @t46 @t49))) % 11.23/11.56 (step @p43 :rule true_intro :premises (@p42)) % 11.23/11.56 (step @p44 :rule instantiate :premises (@p6) :args ((@list @t28 @t37))) % 11.23/11.56 (step @p45 :rule symm :premises (@p44)) % 11.23/11.56 (step @p46 :rule cong :premises (@p45) :args (@t50)) % 11.23/11.56 (step @p47 :rule trans :premises (@p46 @p43)) % 11.23/11.56 (step @p48 :rule true_elim :premises (@p47)) % 11.23/11.56 (step @p49 :rule cnf_or_pos :args (@t54)) % 11.23/11.56 (step @p50 :rule reordering :premises (@p49) :args ((or @t51 @t53 @t52 (not @t54)))) % 11.23/11.56 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p37 @p32) :args (@t53 @t55 (@list @t50 @t43 @t54))) % 11.23/11.56 (step @p52 :rule true_intro :premises (@p51)) % 11.23/11.56 (step @p53 :rule instantiate :premises (@p6) :args ((@list @t25 @t30))) % 11.23/11.56 (step @p54 :rule cong :premises (@p53) :args (@t56)) % 11.23/11.56 (step @p55 :rule trans :premises (@p54 @p52)) % 11.23/11.56 (step @p56 :rule true_elim :premises (@p55)) % 11.23/11.56 (step @p57 :rule instantiate :premises (@p7) :args ((@list @t57))) % 11.23/11.56 (step @p58 :rule instantiate :premises (@p2) :args ((@list @t14 @t14))) % 11.23/11.56 (step @p59 :rule cnf_or_pos :args (@t61)) % 11.23/11.56 (step @p60 :rule reordering :premises (@p59) :args ((or @t59 @t60 (not @t61)))) % 11.23/11.56 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p57) :args (@t60 @t22 (@list @t58 @t61))) % 11.23/11.56 (step @p62 :rule true_intro :premises (@p61)) % 11.23/11.56 (step @p63 :rule cong :premises (@p18 @p19) :args (@t25)) % 11.23/11.56 (step @p64 :rule cong :premises (@p63) :args (@t62)) % 11.23/11.56 (step @p65 :rule trans :premises (@p64 @p62)) % 11.23/11.56 (step @p66 :rule true_elim :premises (@p65)) % 11.23/11.56 (step @p67 :rule cnf_or_pos :args (@t66)) % 11.23/11.56 (step @p68 :rule reordering :premises (@p67) :args ((or @t63 @t65 @t64 (not @t66)))) % 11.23/11.56 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p56 @p31) :args (@t65 @t55 (@list @t62 @t56 @t66))) % 11.23/11.56 (step @p70 :rule cnf_or_pos :args (@t70)) % 11.23/11.56 (step @p71 :rule reordering :premises (@p70) :args ((or @t67 @t69 @t68 (not @t70)))) % 11.23/11.56 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p30 @p25) :args (@t69 @t55 (@list @t65 @t35 @t70))) % 11.23/11.56 (step @p73 :rule true_intro :premises (@p72)) % 11.23/11.56 (step @p74 :rule instantiate :premises (@p6) :args ((@list @t23 @t29))) % 11.23/11.56 (step @p75 :rule cong :premises (@p74) :args (@t71)) % 11.23/11.56 (step @p76 :rule trans :premises (@p75 @p73)) % 11.23/11.56 (step @p77 :rule true_elim :premises (@p76)) % 11.23/11.56 (step @p78 :rule false_intro :premises (@p11)) % 11.23/11.56 (step @p79 :rule instantiate :premises (@p10) :args ((@list @t15 @t14))) % 11.23/11.56 (step @p80 :rule symm :premises (@p79)) % 11.23/11.56 (step @p81 :rule instantiate :premises (@p9) :args ((@list @t23 @t25))) % 11.23/11.56 (step @p82 :rule symm :premises (@p81)) % 11.23/11.56 (step @p83 :rule trans :premises (@p82 @p80)) % 11.23/11.56 (step @p84 :rule cong :premises (@p83) :args (@t72)) % 11.23/11.56 (step @p85 :rule trans :premises (@p84 @p78)) % 11.23/11.56 (step @p86 :rule false_elim :premises (@p85)) % 11.23/11.56 (step @p87 :rule cnf_or_pos :args (@t75)) % 11.23/11.56 (step @p88 :rule reordering :premises (@p87) :args ((or @t73 @t72 @t74 (not @t75)))) % 11.23/11.56 (step @p89 false :rule chain_m_resolution :premises (@p88 @p86 @p77 @p24 @p23) :args (false (@list true false false false) (@list @t72 @t71 @t75 @t24))) % 11.23/11.56 ) % 0.20/11.60 % SZS output end Proof % 0.20/11.61 % cvc5 exiting %------------------------------------------------------------------------------