%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL234-3 : TPTP v9.3.1. Released v2.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 11:22:29 AM UTC 2026 % Result : Unsatisfiable 111.24s 112.96s % Output : Proof 111.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL234-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.04/0.30 % Computer : n012.cluster.edu % 0.04/0.30 % Model : x86_64 x86_64 % 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.04/0.30 % Memory : 8046.5625MB % 0.04/0.30 % OS : Linux 6.8.0-71-generic % 0.04/0.30 % CPULimit : 300 % 0.04/0.30 % WCLimit : 300 % 0.04/0.30 % DateTime : Sat Sep 5 15:29:27 UTC 2026 % 0.04/0.30 % CPUTime : % 0.08/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.08/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.07/15.53 --- Run --no-e-matching --full-saturate-quant at 6... % 21.10/21.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.11/27.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.13/33.99 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.14/64.17 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.18/79.32 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.19/112.49 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 111.24/112.96 % SZS status Unsatisfiable % 111.24/112.96 % SZS output start Proof % 111.24/112.97 ( % 111.24/112.97 (declare-sort $$unsorted 0) % 111.24/112.97 (declare-const tptp.q $$unsorted) % 111.24/112.97 (declare-const tptp.theorem (-> $$unsorted Bool)) % 111.24/112.97 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 111.24/112.97 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 111.24/112.97 (declare-const tptp.axiom (-> $$unsorted Bool)) % 111.24/112.97 (declare-const tptp.p $$unsorted) % 111.24/112.97 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 111.24/112.97 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 111.24/112.97 (define @t1 () (@var "A" $$unsorted)) % 111.24/112.97 (define @t2 () (@var "B" $$unsorted)) % 111.24/112.97 (define @t3 () (tptp.or @t2 @t1)) % 111.24/112.97 (define @t4 () (@list @t1 @t2)) % 111.24/112.97 (define @t5 () (@var "C" $$unsorted)) % 111.24/112.97 (define @t6 () (@list @t1 @t2 @t5)) % 111.24/112.97 (define @t7 () (@var "Y" $$unsorted)) % 111.24/112.97 (define @t8 () (@var "X" $$unsorted)) % 111.24/112.97 (define @t9 () (@list @t8 @t7)) % 111.24/112.97 (define @t10 () (tptp.theorem @t8)) % 111.24/112.97 (define @t11 () (@var "Q" $$unsorted)) % 111.24/112.97 (define @t12 () (@var "P" $$unsorted)) % 111.24/112.97 (define @t13 () (tptp.and tptp.p tptp.q)) % 111.24/112.97 (define @t14 () (tptp.implies tptp.q @t13)) % 111.24/112.97 (define @t15 () (tptp.not tptp.p)) % 111.24/112.97 (define @t16 () (tptp.or @t15 @t13)) % 111.24/112.97 (define @t17 () (tptp.not tptp.q)) % 111.24/112.97 (define @t18 () (tptp.or @t15 @t17)) % 111.24/112.97 (define @t19 () (tptp.not @t18)) % 111.24/112.97 (define @t20 () (tptp.or @t19 @t15)) % 111.24/112.97 (define @t21 () (tptp.implies @t20 @t16)) % 111.24/112.97 (define @t22 () (tptp.or @t17 @t16)) % 111.24/112.97 (define @t23 () (tptp.or @t17 @t20)) % 111.24/112.97 (define @t24 () (tptp.implies @t23 @t22)) % 111.24/112.97 (define @t25 () (tptp.implies @t21 @t24)) % 111.24/112.97 (define @t26 () (tptp.axiom @t25)) % 111.24/112.97 (define @t27 () (not @t26)) % 111.24/112.97 (define @t28 () (tptp.theorem @t25)) % 111.24/112.97 (define @t29 () (or @t28 @t27)) % 111.24/112.97 (define @t30 () (@list false false)) % 111.24/112.97 (define @t31 () (tptp.or @t17 @t15)) % 111.24/112.97 (define @t32 () (tptp.or @t19 @t31)) % 111.24/112.97 (define @t33 () (tptp.implies @t32 @t23)) % 111.24/112.97 (define @t34 () (tptp.axiom @t33)) % 111.24/112.97 (define @t35 () (not @t34)) % 111.24/112.97 (define @t36 () (tptp.theorem @t33)) % 111.24/112.97 (define @t37 () (or @t36 @t35)) % 111.24/112.97 (define @t38 () (tptp.implies @t18 @t31)) % 111.24/112.97 (define @t39 () (tptp.axiom @t38)) % 111.24/112.97 (define @t40 () (not @t39)) % 111.24/112.97 (define @t41 () (tptp.theorem @t38)) % 111.24/112.97 (define @t42 () (or @t41 @t40)) % 111.24/112.97 (define @t43 () (tptp.theorem @t32)) % 111.24/112.97 (define @t44 () (not @t43)) % 111.24/112.97 (define @t45 () (not @t36)) % 111.24/112.97 (define @t46 () (tptp.theorem @t23)) % 111.24/112.97 (define @t47 () (or @t46 @t45 @t44)) % 111.24/112.97 (define @t48 () (tptp.or @t15 (tptp.or @t17 @t13))) % 111.24/112.97 (define @t49 () (tptp.implies @t22 @t48)) % 111.24/112.97 (define @t50 () (tptp.axiom @t49)) % 111.24/112.97 (define @t51 () (not @t50)) % 111.24/112.97 (define @t52 () (tptp.theorem @t49)) % 111.24/112.97 (define @t53 () (or @t52 @t51)) % 111.24/112.97 (define @t54 () (tptp.theorem @t48)) % 111.24/112.97 (define @t55 () (tptp.theorem @t22)) % 111.24/112.97 (define @t56 () (not @t55)) % 111.24/112.97 (define @t57 () (not @t52)) % 111.24/112.97 (define @t58 () (or @t54 @t57 @t56)) % 111.24/112.97 (define @t59 () (@list true false false)) % 111.24/112.97 (define @t60 () (not @t46)) % 111.24/112.97 (define @t61 () (tptp.theorem @t24)) % 111.24/112.97 (define @t62 () (not @t61)) % 111.24/112.97 (define @t63 () (or @t55 @t62 @t60)) % 111.24/112.97 (define @t64 () (not (tptp.theorem @t21))) % 111.24/112.97 (define @t65 () (not @t28)) % 111.24/112.97 (define @t66 () (or @t61 @t65 @t64)) % 111.24/112.97 (define @t67 () (tptp.or @t13 @t15)) % 111.24/112.97 (define @t68 () (tptp.implies @t67 @t16)) % 111.24/112.97 (define @t69 () (tptp.theorem @t68)) % 111.24/112.97 (define @t70 () (tptp.axiom @t68)) % 111.24/112.97 (define @t71 () (not @t70)) % 111.24/112.97 (define @t72 () (or @t69 @t71)) % 111.24/112.97 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 111.24/112.97 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 111.24/112.97 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 111.24/112.97 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 111.24/112.97 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 111.24/112.97 (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 111.24/112.97 (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8))))) % 111.24/112.97 (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 111.24/112.97 (assume @p9 (forall (@list @t12 @t11) (= (tptp.and @t12 @t11) (tptp.not (tptp.or (tptp.not @t12) (tptp.not @t11)))))) % 111.24/112.97 (assume @p10 (not (tptp.theorem (tptp.implies tptp.p @t14)))) % 111.24/112.97 (step @p11 :rule evaluate :args ((= true false))) % 111.24/112.97 (step @p12 :rule instantiate :premises (@p8) :args ((@list @t24 @t21))) % 111.24/112.97 (step @p13 :rule instantiate :premises (@p7) :args ((@list @t25))) % 111.24/112.97 (step @p14 :rule instantiate :premises (@p5) :args ((@list @t20 @t16 @t17))) % 111.24/112.97 (step @p15 :rule cnf_or_pos :args (@t29)) % 111.24/112.97 (step @p16 :rule reordering :premises (@p15) :args ((or @t27 @t28 (not @t29)))) % 111.24/112.97 (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p13) :args (@t28 @t30 (@list @t26 @t29))) % 111.24/112.97 (step @p18 :rule instantiate :premises (@p8) :args ((@list @t22 @t23))) % 111.24/112.97 (step @p19 :rule instantiate :premises (@p8) :args ((@list @t23 @t32))) % 111.24/112.97 (step @p20 :rule instantiate :premises (@p7) :args ((@list @t33))) % 111.24/112.97 (step @p21 :rule instantiate :premises (@p4) :args ((@list @t19 @t17 @t15))) % 111.24/112.97 (step @p22 :rule cnf_or_pos :args (@t37)) % 111.24/112.97 (step @p23 :rule reordering :premises (@p22) :args ((or @t35 @t36 (not @t37)))) % 111.24/112.97 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20) :args (@t36 @t30 (@list @t34 @t37))) % 111.24/112.97 (step @p25 :rule instantiate :premises (@p7) :args ((@list @t38))) % 111.24/112.97 (step @p26 :rule instantiate :premises (@p3) :args ((@list @t15 @t17))) % 111.24/112.97 (step @p27 :rule cnf_or_pos :args (@t42)) % 111.24/112.97 (step @p28 :rule reordering :premises (@p27) :args ((or @t40 @t41 (not @t42)))) % 111.24/112.97 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25) :args (@t41 @t30 (@list @t39 @t42))) % 111.24/112.97 (step @p30 :rule true_intro :premises (@p29)) % 111.24/112.97 (step @p31 :rule instantiate :premises (@p6) :args ((@list @t18 @t31))) % 111.24/112.97 (step @p32 :rule symm :premises (@p31)) % 111.24/112.97 (step @p33 :rule cong :premises (@p32) :args (@t43)) % 111.24/112.97 (step @p34 :rule trans :premises (@p33 @p30)) % 111.24/112.97 (step @p35 :rule true_elim :premises (@p34)) % 111.24/112.97 (step @p36 :rule cnf_or_pos :args (@t47)) % 111.24/112.97 (step @p37 :rule reordering :premises (@p36) :args ((or @t44 @t46 @t45 (not @t47)))) % 111.24/112.97 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p24 @p19) :args (@t46 (@list false false false) (@list @t43 @t36 @t47))) % 111.24/112.97 (step @p39 :rule instantiate :premises (@p8) :args ((@list @t48 @t22))) % 111.24/112.97 (step @p40 :rule instantiate :premises (@p7) :args ((@list @t49))) % 111.24/112.97 (step @p41 :rule instantiate :premises (@p4) :args ((@list @t17 @t15 @t13))) % 111.24/112.97 (step @p42 :rule cnf_or_pos :args (@t53)) % 111.24/112.97 (step @p43 :rule reordering :premises (@p42) :args ((or @t51 @t52 (not @t53)))) % 111.24/112.97 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p40) :args (@t52 @t30 (@list @t50 @t53))) % 111.24/112.97 (step @p45 :rule false_intro :premises (@p10)) % 111.24/112.97 (step @p46 :rule instantiate :premises (@p6) :args ((@list tptp.p @t14))) % 111.24/112.97 (step @p47 :rule symm :premises (@p46)) % 111.24/112.97 (step @p48 :rule instantiate :premises (@p6) :args ((@list tptp.q @t13))) % 111.24/112.97 (step @p49 :rule symm :premises (@p48)) % 111.24/112.97 (step @p50 :rule refl :args (@t15)) % 111.24/112.97 (step @p51 :rule cong :premises (@p50 @p49) :args (@t48)) % 111.24/112.97 (step @p52 :rule trans :premises (@p51 @p47)) % 111.24/112.97 (step @p53 :rule cong :premises (@p52) :args (@t54)) % 111.24/112.97 (step @p54 :rule trans :premises (@p53 @p45)) % 111.24/112.97 (step @p55 :rule false_elim :premises (@p54)) % 111.24/112.97 (step @p56 :rule cnf_or_pos :args (@t58)) % 111.24/112.97 (step @p57 :rule reordering :premises (@p56) :args ((or @t54 @t57 @t56 (not @t58)))) % 111.24/112.97 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p44 @p39) :args (@t56 @t59 (@list @t54 @t52 @t58))) % 111.24/112.97 (step @p59 :rule cnf_or_pos :args (@t63)) % 111.24/112.97 (step @p60 :rule reordering :premises (@p59) :args ((or @t55 @t60 @t62 (not @t63)))) % 111.24/112.97 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p38 @p18) :args (@t62 @t59 (@list @t55 @t46 @t63))) % 111.24/112.97 (step @p62 :rule cnf_or_pos :args (@t66)) % 111.24/112.97 (step @p63 :rule reordering :premises (@p62) :args ((or @t61 @t65 @t64 (not @t66)))) % 111.24/112.97 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p17 @p12) :args (@t64 @t59 (@list @t61 @t28 @t66))) % 111.24/112.97 (step @p65 :rule false_intro :premises (@p64)) % 111.24/112.97 (step @p66 :rule refl :args (@t16)) % 111.24/112.97 (step @p67 :rule instantiate :premises (@p9) :args ((@list tptp.p tptp.q))) % 111.24/112.97 (step @p68 :rule cong :premises (@p67 @p50) :args (@t67)) % 111.24/112.97 (step @p69 :rule cong :premises (@p68 @p66) :args (@t68)) % 111.24/112.97 (step @p70 :rule cong :premises (@p69) :args (@t69)) % 111.24/112.97 (step @p71 :rule instantiate :premises (@p7) :args ((@list @t68))) % 111.24/112.97 (step @p72 :rule instantiate :premises (@p3) :args ((@list @t13 @t15))) % 111.24/112.97 (step @p73 :rule cnf_or_pos :args (@t72)) % 111.24/112.97 (step @p74 :rule reordering :premises (@p73) :args ((or @t71 @t69 (not @t72)))) % 111.24/112.97 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p71) :args (@t69 @t30 (@list @t70 @t72))) % 111.24/112.97 (step @p76 :rule true_intro :premises (@p75)) % 111.24/112.97 (step @p77 :rule symm :premises (@p76)) % 111.24/112.97 (step @p78 :rule trans :premises (@p77 @p70 @p65)) % 111.24/112.97 (step @p79 false :rule eq_resolve :premises (@p78 @p11)) % 111.24/112.97 ) % 111.24/112.97 % SZS output end Proof % 111.24/112.97 % cvc5 exiting %------------------------------------------------------------------------------