%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL323-3 : 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 : n020.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 11:22:38 AM UTC 2026 % Result : Unsatisfiable 124.34s 125.68s % Output : Proof 111.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL323-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n020.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sun Sep 6 02:08:57 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.19/15.65 --- Run --no-e-matching --full-saturate-quant at 6... % 21.23/21.81 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.26/27.98 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.28/34.14 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.31/64.34 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.39/79.50 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.38/112.69 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 124.34/125.68 % SZS status Unsatisfiable % 124.34/125.68 % SZS output start Proof % 124.34/125.68 ( % 124.34/125.68 (declare-sort $$unsorted 0) % 124.34/125.68 (declare-const tptp.q $$unsorted) % 124.34/125.68 (declare-const tptp.r $$unsorted) % 124.34/125.68 (declare-const tptp.theorem (-> $$unsorted Bool)) % 124.34/125.68 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 124.34/125.68 (declare-const tptp.p $$unsorted) % 124.34/125.68 (declare-const tptp.axiom (-> $$unsorted Bool)) % 124.34/125.68 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 124.34/125.68 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 124.34/125.68 (define @t1 () (@var "A" $$unsorted)) % 124.34/125.68 (define @t2 () (@var "B" $$unsorted)) % 124.34/125.68 (define @t3 () (tptp.or @t2 @t1)) % 124.34/125.68 (define @t4 () (@list @t1 @t2)) % 124.34/125.68 (define @t5 () (@var "C" $$unsorted)) % 124.34/125.68 (define @t6 () (@list @t1 @t2 @t5)) % 124.34/125.68 (define @t7 () (@var "Y" $$unsorted)) % 124.34/125.68 (define @t8 () (@var "X" $$unsorted)) % 124.34/125.68 (define @t9 () (@list @t8 @t7)) % 124.34/125.68 (define @t10 () (tptp.theorem @t8)) % 124.34/125.68 (define @t11 () (tptp.implies tptp.p tptp.q)) % 124.34/125.68 (define @t12 () (tptp.or @t11 tptp.r)) % 124.34/125.68 (define @t13 () (tptp.or tptp.r @t11)) % 124.34/125.68 (define @t14 () (tptp.implies @t13 @t12)) % 124.34/125.68 (define @t15 () (tptp.not @t11)) % 124.34/125.68 (define @t16 () (tptp.or @t15 @t12)) % 124.34/125.68 (define @t17 () (tptp.or @t15 @t13)) % 124.34/125.68 (define @t18 () (tptp.implies @t17 @t16)) % 124.34/125.68 (define @t19 () (tptp.implies @t14 @t18)) % 124.34/125.68 (define @t20 () (tptp.axiom @t19)) % 124.34/125.68 (define @t21 () (not @t20)) % 124.34/125.68 (define @t22 () (tptp.theorem @t19)) % 124.34/125.68 (define @t23 () (or @t22 @t21)) % 124.34/125.68 (define @t24 () (@list false false)) % 124.34/125.68 (define @t25 () (tptp.axiom @t14)) % 124.34/125.68 (define @t26 () (not @t25)) % 124.34/125.68 (define @t27 () (tptp.theorem @t14)) % 124.34/125.68 (define @t28 () (or @t27 @t26)) % 124.34/125.68 (define @t29 () (not @t27)) % 124.34/125.68 (define @t30 () (not @t22)) % 124.34/125.68 (define @t31 () (tptp.theorem @t18)) % 124.34/125.68 (define @t32 () (or @t31 @t30 @t29)) % 124.34/125.68 (define @t33 () (tptp.implies @t11 @t13)) % 124.34/125.68 (define @t34 () (tptp.axiom @t33)) % 124.34/125.68 (define @t35 () (not @t34)) % 124.34/125.68 (define @t36 () (tptp.theorem @t33)) % 124.34/125.68 (define @t37 () (or @t36 @t35)) % 124.34/125.68 (define @t38 () (tptp.theorem @t17)) % 124.34/125.68 (define @t39 () (tptp.not tptp.p)) % 124.34/125.68 (define @t40 () (tptp.or @t39 tptp.q)) % 124.34/125.68 (define @t41 () (tptp.implies @t40 @t12)) % 124.34/125.68 (define @t42 () (tptp.not tptp.q)) % 124.34/125.68 (define @t43 () (tptp.or @t42 @t12)) % 124.34/125.68 (define @t44 () (tptp.or @t42 @t40)) % 124.34/125.68 (define @t45 () (tptp.implies @t44 @t43)) % 124.34/125.68 (define @t46 () (tptp.implies @t41 @t45)) % 124.34/125.68 (define @t47 () (tptp.axiom @t46)) % 124.34/125.68 (define @t48 () (not @t47)) % 124.34/125.68 (define @t49 () (tptp.theorem @t46)) % 124.34/125.68 (define @t50 () (or @t49 @t48)) % 124.34/125.68 (define @t51 () (tptp.implies tptp.q @t40)) % 124.34/125.68 (define @t52 () (tptp.axiom @t51)) % 124.34/125.68 (define @t53 () (not @t52)) % 124.34/125.68 (define @t54 () (tptp.theorem @t51)) % 124.34/125.68 (define @t55 () (or @t54 @t53)) % 124.34/125.68 (define @t56 () (tptp.theorem @t44)) % 124.34/125.68 (define @t57 () (tptp.or @t11 (tptp.or @t42 tptp.r))) % 124.34/125.68 (define @t58 () (tptp.implies @t43 @t57)) % 124.34/125.68 (define @t59 () (tptp.axiom @t58)) % 124.34/125.68 (define @t60 () (not @t59)) % 124.34/125.68 (define @t61 () (tptp.theorem @t58)) % 124.34/125.68 (define @t62 () (or @t61 @t60)) % 124.34/125.68 (define @t63 () (tptp.theorem @t57)) % 124.34/125.68 (define @t64 () (tptp.theorem @t43)) % 124.34/125.68 (define @t65 () (not @t64)) % 124.34/125.68 (define @t66 () (not @t61)) % 124.34/125.68 (define @t67 () (or @t63 @t66 @t65)) % 124.34/125.68 (define @t68 () (@list true false false)) % 124.34/125.68 (define @t69 () (not @t56)) % 124.34/125.68 (define @t70 () (tptp.theorem @t45)) % 124.34/125.68 (define @t71 () (not @t70)) % 124.34/125.68 (define @t72 () (or @t64 @t71 @t69)) % 124.34/125.68 (define @t73 () (not (tptp.theorem @t41))) % 124.34/125.68 (define @t74 () (not @t49)) % 124.34/125.68 (define @t75 () (or @t70 @t74 @t73)) % 124.34/125.68 (define @t76 () (tptp.theorem @t16)) % 124.34/125.68 (define @t77 () (not @t38)) % 124.34/125.68 (define @t78 () (not @t31)) % 124.34/125.68 (define @t79 () (or @t76 @t78 @t77)) % 124.34/125.68 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 124.34/125.68 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 124.34/125.68 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 124.34/125.68 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 124.34/125.68 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 124.34/125.68 (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 124.34/125.68 (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8))))) % 124.34/125.68 (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 124.34/125.68 (assume @p9 (not (tptp.theorem (tptp.or @t11 (tptp.implies tptp.q tptp.r))))) % 124.34/125.68 (step @p10 :rule instantiate :premises (@p8) :args ((@list @t18 @t14))) % 124.34/125.68 (step @p11 :rule instantiate :premises (@p7) :args ((@list @t19))) % 124.34/125.68 (step @p12 :rule instantiate :premises (@p5) :args ((@list @t13 @t12 @t15))) % 124.34/125.68 (step @p13 :rule cnf_or_pos :args (@t23)) % 124.34/125.68 (step @p14 :rule reordering :premises (@p13) :args ((or @t21 @t22 (not @t23)))) % 124.34/125.68 (step @p15 :rule chain_m_resolution :premises (@p14 @p12 @p11) :args (@t22 @t24 (@list @t20 @t23))) % 124.34/125.68 (step @p16 :rule instantiate :premises (@p7) :args ((@list @t14))) % 124.34/125.68 (step @p17 :rule instantiate :premises (@p3) :args ((@list tptp.r @t11))) % 124.34/125.68 (step @p18 :rule cnf_or_pos :args (@t28)) % 124.34/125.68 (step @p19 :rule reordering :premises (@p18) :args ((or @t26 @t27 (not @t28)))) % 124.34/125.68 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p16) :args (@t27 @t24 (@list @t25 @t28))) % 124.34/125.68 (step @p21 :rule cnf_or_pos :args (@t32)) % 124.34/125.68 (step @p22 :rule reordering :premises (@p21) :args ((or @t29 @t31 @t30 (not @t32)))) % 124.34/125.68 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p15 @p10) :args (@t31 (@list false false false) (@list @t27 @t22 @t32))) % 124.34/125.68 (step @p24 :rule instantiate :premises (@p8) :args ((@list @t16 @t17))) % 124.34/125.68 (step @p25 :rule instantiate :premises (@p7) :args ((@list @t33))) % 124.34/125.68 (step @p26 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.r))) % 124.34/125.68 (step @p27 :rule cnf_or_pos :args (@t37)) % 124.34/125.68 (step @p28 :rule reordering :premises (@p27) :args ((or @t35 @t36 (not @t37)))) % 124.34/125.68 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25) :args (@t36 @t24 (@list @t34 @t37))) % 124.34/125.68 (step @p30 :rule true_intro :premises (@p29)) % 124.34/125.68 (step @p31 :rule instantiate :premises (@p6) :args ((@list @t11 @t13))) % 124.34/125.68 (step @p32 :rule symm :premises (@p31)) % 124.34/125.68 (step @p33 :rule cong :premises (@p32) :args (@t38)) % 124.34/125.68 (step @p34 :rule trans :premises (@p33 @p30)) % 124.34/125.68 (step @p35 :rule true_elim :premises (@p34)) % 124.34/125.68 (step @p36 :rule instantiate :premises (@p8) :args ((@list @t45 @t41))) % 124.34/125.68 (step @p37 :rule instantiate :premises (@p7) :args ((@list @t46))) % 124.34/125.68 (step @p38 :rule instantiate :premises (@p5) :args ((@list @t40 @t12 @t42))) % 124.34/125.68 (step @p39 :rule cnf_or_pos :args (@t50)) % 124.34/125.68 (step @p40 :rule reordering :premises (@p39) :args ((or @t48 @t49 (not @t50)))) % 124.34/125.68 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37) :args (@t49 @t24 (@list @t47 @t50))) % 124.34/125.68 (step @p42 :rule instantiate :premises (@p8) :args ((@list @t43 @t44))) % 124.34/125.68 (step @p43 :rule instantiate :premises (@p7) :args ((@list @t51))) % 124.34/125.68 (step @p44 :rule instantiate :premises (@p2) :args ((@list tptp.q @t39))) % 124.34/125.68 (step @p45 :rule cnf_or_pos :args (@t55)) % 124.34/125.68 (step @p46 :rule reordering :premises (@p45) :args ((or @t53 @t54 (not @t55)))) % 124.34/125.68 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p43) :args (@t54 @t24 (@list @t52 @t55))) % 124.34/125.68 (step @p48 :rule true_intro :premises (@p47)) % 124.34/125.68 (step @p49 :rule instantiate :premises (@p6) :args ((@list tptp.q @t40))) % 124.34/125.68 (step @p50 :rule symm :premises (@p49)) % 124.34/125.68 (step @p51 :rule cong :premises (@p50) :args (@t56)) % 124.34/125.68 (step @p52 :rule trans :premises (@p51 @p48)) % 124.34/125.68 (step @p53 :rule true_elim :premises (@p52)) % 124.34/125.68 (step @p54 :rule instantiate :premises (@p8) :args ((@list @t57 @t43))) % 124.34/125.68 (step @p55 :rule instantiate :premises (@p7) :args ((@list @t58))) % 124.34/125.68 (step @p56 :rule instantiate :premises (@p4) :args ((@list @t42 @t11 tptp.r))) % 124.34/125.68 (step @p57 :rule cnf_or_pos :args (@t62)) % 124.34/125.68 (step @p58 :rule reordering :premises (@p57) :args ((or @t60 @t61 (not @t62)))) % 124.34/125.68 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p55) :args (@t61 @t24 (@list @t59 @t62))) % 124.34/125.68 (step @p60 :rule false_intro :premises (@p9)) % 124.34/125.68 (step @p61 :rule instantiate :premises (@p6) :args ((@list tptp.q tptp.r))) % 124.34/125.68 (step @p62 :rule symm :premises (@p61)) % 124.34/125.68 (step @p63 :rule refl :args (@t11)) % 124.34/125.68 (step @p64 :rule cong :premises (@p63 @p62) :args (@t57)) % 124.34/125.68 (step @p65 :rule cong :premises (@p64) :args (@t63)) % 124.34/125.68 (step @p66 :rule trans :premises (@p65 @p60)) % 124.34/125.68 (step @p67 :rule false_elim :premises (@p66)) % 124.34/125.68 (step @p68 :rule cnf_or_pos :args (@t67)) % 124.34/125.68 (step @p69 :rule reordering :premises (@p68) :args ((or @t63 @t66 @t65 (not @t67)))) % 124.34/125.68 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p59 @p54) :args (@t65 @t68 (@list @t63 @t61 @t67))) % 124.34/125.68 (step @p71 :rule cnf_or_pos :args (@t72)) % 124.34/125.68 (step @p72 :rule reordering :premises (@p71) :args ((or @t64 @t69 @t71 (not @t72)))) % 124.34/125.68 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p53 @p42) :args (@t71 @t68 (@list @t64 @t56 @t72))) % 124.34/125.68 (step @p74 :rule cnf_or_pos :args (@t75)) % 124.34/125.68 (step @p75 :rule reordering :premises (@p74) :args ((or @t70 @t74 @t73 (not @t75)))) % 124.34/125.68 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p41 @p36) :args (@t73 @t68 (@list @t70 @t49 @t75))) % 124.34/125.68 (step @p77 :rule false_intro :premises (@p76)) % 124.34/125.68 (step @p78 :rule instantiate :premises (@p6) :args ((@list @t40 @t12))) % 124.34/125.68 (step @p79 :rule symm :premises (@p78)) % 124.34/125.68 (step @p80 :rule refl :args (@t12)) % 124.34/125.68 (step @p81 :rule instantiate :premises (@p6) :args ((@list tptp.p tptp.q))) % 124.34/125.68 (step @p82 :rule cong :premises (@p81) :args (@t15)) % 124.34/125.68 (step @p83 :rule cong :premises (@p82 @p80) :args (@t16)) % 124.34/125.68 (step @p84 :rule trans :premises (@p83 @p79)) % 124.34/125.68 (step @p85 :rule cong :premises (@p84) :args (@t76)) % 124.34/125.68 (step @p86 :rule trans :premises (@p85 @p77)) % 124.34/125.68 (step @p87 :rule false_elim :premises (@p86)) % 124.34/125.68 (step @p88 :rule cnf_or_pos :args (@t79)) % 124.34/125.68 (step @p89 :rule reordering :premises (@p88) :args ((or @t76 @t77 @t78 (not @t79)))) % 124.34/125.68 (step @p90 false :rule chain_m_resolution :premises (@p89 @p87 @p35 @p24 @p23) :args (false (@list true false false false) (@list @t76 @t38 @t79 @t31))) % 124.34/125.68 ) % 111.44/125.74 % SZS output end Proof % 111.44/125.74 % cvc5 exiting %------------------------------------------------------------------------------