%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL294-3 : 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 : n001.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 11:22:35 AM UTC 2026 % Result : Unsatisfiable 44.98s 45.88s % Output : Proof 33.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL294-3 : 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 % 0.09/0.34 % Computer : n001.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Sat Sep 5 01:28:00 UTC 2026 % 0.09/0.35 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.13/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/15.64 --- Run --no-e-matching --full-saturate-quant at 6... % 21.25/21.81 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.26/27.97 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.27/34.13 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 44.98/45.88 % SZS status Unsatisfiable % 44.98/45.88 % SZS output start Proof % 44.98/45.89 ( % 44.98/45.89 (declare-sort $$unsorted 0) % 44.98/45.89 (declare-const tptp.p $$unsorted) % 44.98/45.89 (declare-const tptp.q $$unsorted) % 44.98/45.89 (declare-const tptp.theorem (-> $$unsorted Bool)) % 44.98/45.89 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 44.98/45.89 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 44.98/45.89 (declare-const tptp.axiom (-> $$unsorted Bool)) % 44.98/45.89 (declare-const tptp.equivalent (-> $$unsorted $$unsorted $$unsorted)) % 44.98/45.89 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 44.98/45.89 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 44.98/45.89 (define @t1 () (@var "A" $$unsorted)) % 44.98/45.89 (define @t2 () (@var "B" $$unsorted)) % 44.98/45.89 (define @t3 () (tptp.or @t2 @t1)) % 44.98/45.89 (define @t4 () (@list @t1 @t2)) % 44.98/45.89 (define @t5 () (@var "C" $$unsorted)) % 44.98/45.89 (define @t6 () (@list @t1 @t2 @t5)) % 44.98/45.89 (define @t7 () (@var "Y" $$unsorted)) % 44.98/45.89 (define @t8 () (@var "X" $$unsorted)) % 44.98/45.89 (define @t9 () (@list @t8 @t7)) % 44.98/45.89 (define @t10 () (tptp.theorem @t8)) % 44.98/45.89 (define @t11 () (@var "Q" $$unsorted)) % 44.98/45.89 (define @t12 () (@var "P" $$unsorted)) % 44.98/45.89 (define @t13 () (@list @t12 @t11)) % 44.98/45.89 (define @t14 () (tptp.not tptp.p)) % 44.98/45.89 (define @t15 () (tptp.or @t14 tptp.q)) % 44.98/45.89 (define @t16 () (tptp.implies tptp.p tptp.q)) % 44.98/45.89 (define @t17 () (tptp.equivalent @t16 @t15)) % 44.98/45.89 (define @t18 () (tptp.theorem @t17)) % 44.98/45.89 (define @t19 () (tptp.or tptp.q @t14)) % 44.98/45.89 (define @t20 () (tptp.implies @t19 @t15)) % 44.98/45.89 (define @t21 () (tptp.axiom @t20)) % 44.98/45.89 (define @t22 () (not @t21)) % 44.98/45.89 (define @t23 () (tptp.theorem @t20)) % 44.98/45.89 (define @t24 () (or @t23 @t22)) % 44.98/45.89 (define @t25 () (@list false false)) % 44.98/45.89 (define @t26 () (tptp.not @t15)) % 44.98/45.89 (define @t27 () (tptp.or @t26 @t15)) % 44.98/45.89 (define @t28 () (tptp.or @t26 @t19)) % 44.98/45.89 (define @t29 () (tptp.implies @t28 @t27)) % 44.98/45.89 (define @t30 () (tptp.implies @t15 @t15)) % 44.98/45.89 (define @t31 () (tptp.implies @t15 @t16)) % 44.98/45.89 (define @t32 () (tptp.not @t31)) % 44.98/45.89 (define @t33 () (tptp.or @t32 @t32)) % 44.98/45.89 (define @t34 () (tptp.not @t33)) % 44.98/45.89 (define @t35 () (tptp.or @t34 @t32)) % 44.98/45.89 (define @t36 () (tptp.or @t32 @t34)) % 44.98/45.89 (define @t37 () (tptp.implies @t33 @t32)) % 44.98/45.89 (define @t38 () (tptp.axiom @t37)) % 44.98/45.89 (define @t39 () (not @t38)) % 44.98/45.89 (define @t40 () (tptp.theorem @t37)) % 44.98/45.89 (define @t41 () (or @t40 @t39)) % 44.98/45.89 (define @t42 () (tptp.theorem @t35)) % 44.98/45.89 (define @t43 () (tptp.implies @t35 @t36)) % 44.98/45.89 (define @t44 () (tptp.axiom @t43)) % 44.98/45.89 (define @t45 () (not @t44)) % 44.98/45.89 (define @t46 () (tptp.theorem @t43)) % 44.98/45.89 (define @t47 () (or @t46 @t45)) % 44.98/45.89 (define @t48 () (not @t42)) % 44.98/45.89 (define @t49 () (not @t46)) % 44.98/45.89 (define @t50 () (tptp.theorem @t36)) % 44.98/45.89 (define @t51 () (or @t50 @t49 @t48)) % 44.98/45.89 (define @t52 () (tptp.implies @t16 @t15)) % 44.98/45.89 (define @t53 () (tptp.not @t52)) % 44.98/45.89 (define @t54 () (tptp.or @t53 @t32)) % 44.98/45.89 (define @t55 () (tptp.implies @t30 @t17)) % 44.98/45.89 (define @t56 () (tptp.theorem @t55)) % 44.98/45.89 (define @t57 () (not (tptp.theorem @t30))) % 44.98/45.89 (define @t58 () (not @t56)) % 44.98/45.89 (define @t59 () (or @t18 @t58 @t57)) % 44.98/45.89 (define @t60 () (tptp.theorem @t27)) % 44.98/45.89 (define @t61 () (tptp.implies @t15 @t19)) % 44.98/45.89 (define @t62 () (tptp.axiom @t61)) % 44.98/45.89 (define @t63 () (not @t62)) % 44.98/45.89 (define @t64 () (tptp.theorem @t61)) % 44.98/45.89 (define @t65 () (or @t64 @t63)) % 44.98/45.89 (define @t66 () (tptp.theorem @t28)) % 44.98/45.89 (define @t67 () (not @t66)) % 44.98/45.89 (define @t68 () (tptp.theorem @t29)) % 44.98/45.89 (define @t69 () (not @t68)) % 44.98/45.89 (define @t70 () (or @t60 @t69 @t67)) % 44.98/45.89 (define @t71 () (tptp.implies @t20 @t29)) % 44.98/45.89 (define @t72 () (tptp.axiom @t71)) % 44.98/45.89 (define @t73 () (not @t72)) % 44.98/45.89 (define @t74 () (tptp.theorem @t71)) % 44.98/45.89 (define @t75 () (or @t74 @t73)) % 44.98/45.89 (define @t76 () (not @t23)) % 44.98/45.89 (define @t77 () (not @t74)) % 44.98/45.89 (define @t78 () (or @t68 @t77 @t76)) % 44.98/45.89 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 44.98/45.89 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 44.98/45.89 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 44.98/45.89 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 44.98/45.89 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 44.98/45.89 (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 44.98/45.89 (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8))))) % 44.98/45.89 (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 44.98/45.89 (assume @p9 (forall @t13 (= (tptp.and @t12 @t11) (tptp.not (tptp.or (tptp.not @t12) (tptp.not @t11)))))) % 44.98/45.89 (assume @p10 (forall @t13 (= (tptp.equivalent @t12 @t11) (tptp.and (tptp.implies @t12 @t11) (tptp.implies @t11 @t12))))) % 44.98/45.89 (assume @p11 (not @t18)) % 44.98/45.89 (step @p12 :rule instantiate :premises (@p7) :args ((@list @t20))) % 44.98/45.89 (step @p13 :rule instantiate :premises (@p3) :args ((@list tptp.q @t14))) % 44.98/45.89 (step @p14 :rule cnf_or_pos :args (@t24)) % 44.98/45.89 (step @p15 :rule reordering :premises (@p14) :args ((or @t22 @t23 (not @t24)))) % 44.98/45.89 (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p12) :args (@t23 @t25 (@list @t21 @t24))) % 44.98/45.89 (step @p17 :rule instantiate :premises (@p8) :args ((@list @t29 @t20))) % 44.98/45.89 (step @p18 :rule instantiate :premises (@p8) :args ((@list @t27 @t28))) % 44.98/45.89 (step @p19 :rule instantiate :premises (@p8) :args ((@list @t17 @t30))) % 44.98/45.89 (step @p20 :rule instantiate :premises (@p8) :args ((@list @t36 @t35))) % 44.98/45.89 (step @p21 :rule instantiate :premises (@p7) :args ((@list @t37))) % 44.98/45.89 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t32))) % 44.98/45.89 (step @p23 :rule cnf_or_pos :args (@t41)) % 44.98/45.89 (step @p24 :rule reordering :premises (@p23) :args ((or @t39 @t40 (not @t41)))) % 44.98/45.89 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p21) :args (@t40 @t25 (@list @t38 @t41))) % 44.98/45.89 (step @p26 :rule true_intro :premises (@p25)) % 44.98/45.89 (step @p27 :rule instantiate :premises (@p6) :args ((@list @t33 @t32))) % 44.98/45.89 (step @p28 :rule symm :premises (@p27)) % 44.98/45.89 (step @p29 :rule cong :premises (@p28) :args (@t42)) % 44.98/45.89 (step @p30 :rule trans :premises (@p29 @p26)) % 44.98/45.89 (step @p31 :rule true_elim :premises (@p30)) % 44.98/45.89 (step @p32 :rule instantiate :premises (@p7) :args ((@list @t43))) % 44.98/45.89 (step @p33 :rule instantiate :premises (@p3) :args ((@list @t34 @t32))) % 44.98/45.89 (step @p34 :rule cnf_or_pos :args (@t47)) % 44.98/45.89 (step @p35 :rule reordering :premises (@p34) :args ((or @t45 @t46 (not @t47)))) % 44.98/45.89 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p32) :args (@t46 @t25 (@list @t44 @t47))) % 44.98/45.89 (step @p37 :rule cnf_or_pos :args (@t51)) % 44.98/45.89 (step @p38 :rule reordering :premises (@p37) :args ((or @t50 @t49 @t48 (not @t51)))) % 44.98/45.89 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p31 @p20) :args (@t50 (@list false false false) (@list @t46 @t42 @t51))) % 44.98/45.89 (step @p40 :rule true_intro :premises (@p39)) % 44.98/45.89 (step @p41 :rule instantiate :premises (@p6) :args ((@list @t31 @t34))) % 44.98/45.89 (step @p42 :rule instantiate :premises (@p6) :args ((@list tptp.p tptp.q))) % 44.98/45.89 (step @p43 :rule symm :premises (@p42)) % 44.98/45.89 (step @p44 :rule refl :args (@t15)) % 44.98/45.89 (step @p45 :rule cong :premises (@p44 @p43) :args (@t30)) % 44.98/45.89 (step @p46 :rule cong :premises (@p42 @p44) :args (@t52)) % 44.98/45.89 (step @p47 :rule trans :premises (@p46 @p45)) % 44.98/45.89 (step @p48 :rule cong :premises (@p47) :args (@t53)) % 44.98/45.89 (step @p49 :rule refl :args (@t32)) % 44.98/45.89 (step @p50 :rule cong :premises (@p49 @p48) :args ((tptp.or @t32 @t53))) % 44.98/45.89 (step @p51 :rule symm :premises (@p48)) % 44.98/45.89 (step @p52 :rule cong :premises (@p48 @p51) :args (@t54)) % 44.98/45.89 (step @p53 :rule trans :premises (@p52 @p50)) % 44.98/45.89 (step @p54 :rule cong :premises (@p53) :args ((tptp.not @t54))) % 44.98/45.89 (step @p55 :rule instantiate :premises (@p9) :args ((@list @t52 @t31))) % 44.98/45.89 (step @p56 :rule instantiate :premises (@p10) :args ((@list @t16 @t15))) % 44.98/45.89 (step @p57 :rule trans :premises (@p56 @p55 @p54)) % 44.98/45.89 (step @p58 :rule cong :premises (@p45 @p57) :args (@t55)) % 44.98/45.89 (step @p59 :rule trans :premises (@p58 @p41)) % 44.98/45.89 (step @p60 :rule cong :premises (@p59) :args (@t56)) % 44.98/45.89 (step @p61 :rule trans :premises (@p60 @p40)) % 44.98/45.89 (step @p62 :rule true_elim :premises (@p61)) % 44.98/45.89 (step @p63 :rule cnf_or_pos :args (@t59)) % 44.98/45.89 (step @p64 :rule reordering :premises (@p63) :args ((or @t18 @t57 @t58 (not @t59)))) % 44.98/45.89 (step @p65 :rule chain_m_resolution :premises (@p64 @p11 @p62 @p19) :args (@t57 (@list true false false) (@list @t18 @t56 @t59))) % 44.98/45.89 (step @p66 :rule false_intro :premises (@p65)) % 44.98/45.89 (step @p67 :rule instantiate :premises (@p6) :args ((@list @t15 @t15))) % 44.98/45.89 (step @p68 :rule symm :premises (@p67)) % 44.98/45.89 (step @p69 :rule cong :premises (@p68) :args (@t60)) % 44.98/45.89 (step @p70 :rule trans :premises (@p69 @p66)) % 44.98/45.89 (step @p71 :rule false_elim :premises (@p70)) % 44.98/45.89 (step @p72 :rule instantiate :premises (@p7) :args ((@list @t61))) % 44.98/45.89 (step @p73 :rule instantiate :premises (@p3) :args ((@list @t14 tptp.q))) % 44.98/45.89 (step @p74 :rule cnf_or_pos :args (@t65)) % 44.98/45.89 (step @p75 :rule reordering :premises (@p74) :args ((or @t63 @t64 (not @t65)))) % 44.98/45.89 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p72) :args (@t64 @t25 (@list @t62 @t65))) % 44.98/45.89 (step @p77 :rule true_intro :premises (@p76)) % 44.98/45.89 (step @p78 :rule instantiate :premises (@p6) :args ((@list @t15 @t19))) % 44.98/45.89 (step @p79 :rule symm :premises (@p78)) % 44.98/45.89 (step @p80 :rule cong :premises (@p79) :args (@t66)) % 44.98/45.89 (step @p81 :rule trans :premises (@p80 @p77)) % 44.98/45.89 (step @p82 :rule true_elim :premises (@p81)) % 44.98/45.89 (step @p83 :rule cnf_or_pos :args (@t70)) % 44.98/45.89 (step @p84 :rule reordering :premises (@p83) :args ((or @t67 @t60 @t69 (not @t70)))) % 44.98/45.89 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p71 @p18) :args (@t69 (@list false true false) (@list @t66 @t60 @t70))) % 44.98/45.89 (step @p86 :rule instantiate :premises (@p7) :args ((@list @t71))) % 44.98/45.89 (step @p87 :rule instantiate :premises (@p5) :args ((@list @t19 @t15 @t26))) % 44.98/45.89 (step @p88 :rule cnf_or_pos :args (@t75)) % 44.98/45.89 (step @p89 :rule reordering :premises (@p88) :args ((or @t73 @t74 (not @t75)))) % 44.98/45.89 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p86) :args (@t74 @t25 (@list @t72 @t75))) % 44.98/45.89 (step @p91 :rule cnf_or_pos :args (@t78)) % 44.98/45.89 (step @p92 :rule reordering :premises (@p91) :args ((or @t76 @t68 @t77 (not @t78)))) % 44.98/45.89 (step @p93 false :rule chain_m_resolution :premises (@p92 @p90 @p85 @p17 @p16) :args (false (@list false true false false) (@list @t74 @t68 @t78 @t23))) % 44.98/45.89 ) % 33.32/45.92 % SZS output end Proof % 33.32/45.92 % cvc5 exiting %------------------------------------------------------------------------------