%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN015-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:07:48 AM UTC 2026 % Result : Unsatisfiable 0.52s 0.70s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN015-2 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:17:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.70 % SZS status Unsatisfiable % 0.52/0.70 % SZS output start Proof % 0.52/0.70 ( % 0.52/0.70 (declare-sort $$unsorted 0) % 0.52/0.70 (declare-const tptp.n $$unsorted) % 0.52/0.70 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.m $$unsorted) % 0.52/0.70 (declare-const tptp.k $$unsorted) % 0.52/0.70 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.a $$unsorted) % 0.52/0.70 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (define @t1 () (@var "X" $$unsorted)) % 0.52/0.70 (define @t2 () (@var "Y" $$unsorted)) % 0.52/0.70 (define @t3 () (not (tptp.equalish @t1 @t2))) % 0.52/0.70 (define @t4 () (forall (@list @t1 @t2) (or @t3 (tptp.equalish @t2 @t1)))) % 0.52/0.70 (define @t5 () (@var "Z" $$unsorted)) % 0.52/0.70 (define @t6 () (@var "B" $$unsorted)) % 0.52/0.70 (define @t7 () (@var "C" $$unsorted)) % 0.52/0.70 (define @t8 () (tptp.element @t7 @t6)) % 0.52/0.70 (define @t9 () (@var "A" $$unsorted)) % 0.52/0.70 (define @t10 () (tptp.equalish @t9 @t6)) % 0.52/0.70 (define @t11 () (@list @t9 @t6 @t7)) % 0.52/0.70 (define @t12 () (not (tptp.element @t9 @t6))) % 0.52/0.70 (define @t13 () (tptp.equalish @t9 tptp.a)) % 0.52/0.70 (define @t14 () (tptp.equalish @t9 tptp.k)) % 0.52/0.70 (define @t15 () (tptp.element @t9 tptp.a)) % 0.52/0.70 (define @t16 () (@list @t9)) % 0.52/0.70 (define @t17 () (tptp.equalish @t9 tptp.m)) % 0.52/0.70 (define @t18 () (not (tptp.element @t9 tptp.m))) % 0.52/0.70 (define @t19 () (tptp.f @t9)) % 0.52/0.70 (define @t20 () (not (tptp.element @t6 @t9))) % 0.52/0.70 (define @t21 () (@list @t9 @t6)) % 0.52/0.70 (define @t22 () (tptp.equalish @t9 tptp.n)) % 0.52/0.70 (define @t23 () (tptp.element @t9 tptp.n)) % 0.52/0.70 (define @t24 () (tptp.g @t9)) % 0.52/0.70 (define @t25 () (tptp.element @t9 tptp.k)) % 0.52/0.70 (define @t26 () (tptp.equalish tptp.m tptp.n)) % 0.52/0.70 (define @t27 () (tptp.equalish tptp.n tptp.k)) % 0.52/0.70 (define @t28 () (tptp.equalish tptp.m tptp.k)) % 0.52/0.70 (define @t29 () (tptp.f tptp.n)) % 0.52/0.70 (define @t30 () (@list tptp.m tptp.k @t29)) % 0.52/0.70 (define @t31 () (@list tptp.n)) % 0.52/0.70 (define @t32 () (tptp.equalish tptp.k tptp.m)) % 0.52/0.70 (define @t33 () (not @t28)) % 0.52/0.70 (define @t34 () (or @t33 @t32)) % 0.52/0.70 (define @t35 () (tptp.element tptp.n tptp.k)) % 0.52/0.70 (define @t36 () (tptp.equalish tptp.n tptp.n)) % 0.52/0.70 (define @t37 () (not @t36)) % 0.52/0.70 (define @t38 () (or @t37 @t35 @t27)) % 0.52/0.70 (define @t39 () (@list true false false)) % 0.52/0.70 (define @t40 () (tptp.element tptp.n tptp.m)) % 0.52/0.70 (define @t41 () (not @t35)) % 0.52/0.70 (define @t42 () (not @t32)) % 0.52/0.70 (define @t43 () (or @t42 @t41 @t40)) % 0.52/0.70 (define @t44 () (@list false false false)) % 0.52/0.70 (define @t45 () (tptp.equalish tptp.n tptp.m)) % 0.52/0.70 (define @t46 () (not @t45)) % 0.52/0.70 (define @t47 () (or @t46 @t26)) % 0.52/0.70 (define @t48 () (@list true false)) % 0.52/0.70 (define @t49 () (not @t40)) % 0.52/0.70 (define @t50 () (tptp.equalish @t29 tptp.m)) % 0.52/0.70 (define @t51 () (not @t50)) % 0.52/0.70 (define @t52 () (or @t51 @t49 @t45)) % 0.52/0.70 (define @t53 () (tptp.equalish tptp.m @t29)) % 0.52/0.70 (define @t54 () (not @t53)) % 0.52/0.70 (define @t55 () (or @t54 @t50)) % 0.52/0.70 (define @t56 () (tptp.equalish tptp.k @t29)) % 0.52/0.70 (define @t57 () (not @t56)) % 0.52/0.70 (define @t58 () (or @t33 @t57 @t53)) % 0.52/0.70 (define @t59 () (@list tptp.n @t29)) % 0.52/0.70 (define @t60 () (tptp.equalish @t29 tptp.n)) % 0.52/0.70 (define @t61 () (not @t60)) % 0.52/0.70 (define @t62 () (or @t61 @t49 @t45)) % 0.52/0.70 (define @t63 () (tptp.equalish tptp.n @t29)) % 0.52/0.70 (define @t64 () (not @t63)) % 0.52/0.70 (define @t65 () (or @t64 @t60)) % 0.52/0.70 (define @t66 () (tptp.element @t29 tptp.n)) % 0.52/0.70 (define @t67 () (or @t66 @t49 @t45)) % 0.52/0.70 (define @t68 () (tptp.element tptp.n @t29)) % 0.52/0.70 (define @t69 () (or @t68 @t49 @t45)) % 0.52/0.70 (define @t70 () (tptp.element @t29 tptp.m)) % 0.52/0.70 (define @t71 () (not @t66)) % 0.52/0.70 (define @t72 () (not @t68)) % 0.52/0.70 (define @t73 () (or @t72 @t71 @t63 @t45 @t70 @t50)) % 0.52/0.70 (define @t74 () (tptp.element @t29 tptp.k)) % 0.52/0.70 (define @t75 () (not @t70)) % 0.52/0.70 (define @t76 () (or @t33 @t75 @t74)) % 0.52/0.70 (define @t77 () (tptp.equalish @t29 tptp.k)) % 0.52/0.70 (define @t78 () (not @t74)) % 0.52/0.70 (define @t79 () (or @t78 @t60 @t50 @t77)) % 0.52/0.70 (define @t80 () (not @t77)) % 0.52/0.70 (define @t81 () (or @t80 @t56)) % 0.52/0.70 (define @t82 () (not @t81)) % 0.52/0.70 (assume @p1 (forall (@list @t1) (tptp.equalish @t1 @t1))) % 0.52/0.70 (assume @p2 @t4) % 0.52/0.70 (assume @p3 (forall (@list @t1 @t2 @t5) (or @t3 (not (tptp.equalish @t2 @t5)) (tptp.equalish @t1 @t5)))) % 0.52/0.70 (assume @p4 (forall @t11 (or (not @t10) (not (tptp.element @t7 @t9)) @t8))) % 0.52/0.70 (assume @p5 (forall @t11 (or @t12 (not (tptp.equalish @t9 @t7)) @t8))) % 0.52/0.70 (assume @p6 (forall @t16 (or (not @t15) @t14 @t13))) % 0.52/0.70 (assume @p7 (forall @t16 (or (not @t14) @t15 @t13))) % 0.52/0.70 (assume @p8 (forall @t16 (or (not (tptp.equalish @t19 tptp.m)) @t18 @t17))) % 0.52/0.70 (assume @p9 (forall @t16 (or (not (tptp.equalish @t19 @t9)) @t18 @t17))) % 0.52/0.70 (assume @p10 (forall @t16 (or (tptp.element @t9 @t19) @t18 @t17))) % 0.52/0.70 (assume @p11 (forall @t16 (or (tptp.element @t19 @t9) @t18 @t17))) % 0.52/0.70 (assume @p12 (forall @t21 (or @t12 @t20 @t10 @t17 (tptp.element @t6 tptp.m) (tptp.equalish @t6 tptp.m)))) % 0.52/0.70 (assume @p13 (forall @t16 (or (not (tptp.equalish @t24 tptp.n)) @t23 @t22))) % 0.52/0.70 (assume @p14 (forall @t16 (or (not (tptp.equalish @t24 @t9)) @t23 @t22))) % 0.52/0.70 (assume @p15 (forall @t16 (or (tptp.element @t9 @t24) @t23 @t22))) % 0.52/0.70 (assume @p16 (forall @t16 (or (tptp.element @t24 @t9) @t23 @t22))) % 0.52/0.70 (assume @p17 (forall @t21 (or @t12 @t20 @t10 @t22 (not (tptp.element @t6 tptp.n)) (tptp.equalish @t6 tptp.n)))) % 0.52/0.70 (assume @p18 (forall @t16 (or (not @t17) @t25 @t14))) % 0.52/0.70 (assume @p19 (forall @t16 (or (not @t22) @t25 @t14))) % 0.52/0.70 (assume @p20 (forall @t16 (or (not @t25) @t22 @t17 @t14))) % 0.52/0.70 (assume @p21 (not (tptp.equalish tptp.n tptp.a))) % 0.52/0.70 (assume @p22 (not @t26)) % 0.52/0.70 (assume @p23 (not @t27)) % 0.52/0.70 (assume @p24 (not (tptp.equalish tptp.m tptp.a))) % 0.52/0.70 (assume @p25 (not (tptp.equalish tptp.k tptp.a))) % 0.52/0.70 (assume @p26 @t28) % 0.52/0.70 (step @p27 :rule instantiate :premises (@p3) :args (@t30)) % 0.52/0.70 (step @p28 :rule instantiate :premises (@p2) :args ((@list tptp.m @t29))) % 0.52/0.70 (step @p29 :rule instantiate :premises (@p8) :args (@t31)) % 0.52/0.70 (step @p30 :rule instantiate :premises (@p4) :args ((@list tptp.k tptp.m tptp.n))) % 0.52/0.70 (step @p31 :rule instantiate :premises (@p2) :args ((@list tptp.m tptp.k))) % 0.52/0.70 (step @p32 :rule cnf_or_pos :args (@t34)) % 0.52/0.70 (step @p33 :rule reordering :premises (@p32) :args ((or @t33 @t32 (not @t34)))) % 0.52/0.70 (step @p34 :rule chain_m_resolution :premises (@p33 @p26 @p31) :args (@t32 (@list false false) (@list @t28 @t34))) % 0.52/0.70 (step @p35 :rule instantiate :premises (@p19) :args (@t31)) % 0.52/0.70 (step @p36 :rule instantiate :premises (@p1) :args (@t31)) % 0.52/0.70 (step @p37 :rule cnf_or_pos :args (@t38)) % 0.52/0.70 (step @p38 :rule reordering :premises (@p37) :args ((or @t27 @t35 @t37 (not @t38)))) % 0.52/0.70 (step @p39 :rule chain_m_resolution :premises (@p38 @p23 @p36 @p35) :args (@t35 @t39 (@list @t27 @t36 @t38))) % 0.52/0.70 (step @p40 :rule cnf_or_pos :args (@t43)) % 0.52/0.70 (step @p41 :rule reordering :premises (@p40) :args ((or @t40 @t41 @t42 (not @t43)))) % 0.52/0.70 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p34 @p30) :args (@t40 @t44 (@list @t35 @t32 @t43))) % 0.52/0.70 (step @p43 :rule instantiate :premises (@p2) :args ((@list tptp.n tptp.m))) % 0.52/0.70 (step @p44 :rule cnf_or_pos :args (@t47)) % 0.52/0.70 (step @p45 :rule reordering :premises (@p44) :args ((or @t26 @t46 (not @t47)))) % 0.52/0.70 (step @p46 :rule chain_m_resolution :premises (@p45 @p22 @p43) :args (@t46 @t48 (@list @t26 @t47))) % 0.52/0.70 (step @p47 :rule cnf_or_pos :args (@t52)) % 0.52/0.70 (step @p48 :rule reordering :premises (@p47) :args ((or @t45 @t49 @t51 (not @t52)))) % 0.52/0.70 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p42 @p29) :args (@t51 @t39 (@list @t45 @t40 @t52))) % 0.52/0.70 (step @p50 :rule cnf_or_pos :args (@t55)) % 0.52/0.70 (step @p51 :rule reordering :premises (@p50) :args ((or @t50 @t54 (not @t55)))) % 0.52/0.70 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p28) :args (@t54 @t48 (@list @t50 @t55))) % 0.52/0.70 (step @p53 :rule cnf_or_pos :args (@t58)) % 0.52/0.70 (step @p54 :rule reordering :premises (@p53) :args ((or @t33 @t53 @t57 (not @t58)))) % 0.52/0.70 (step @p55 :rule chain_m_resolution :premises (@p54 @p26 @p52 @p27) :args (@t57 (@list false true false) (@list @t28 @t53 @t58))) % 0.52/0.70 (step @p56 :rule instantiate :premises (@p20) :args ((@list @t29))) % 0.52/0.70 (step @p57 :rule instantiate :premises (@p4) :args (@t30)) % 0.52/0.70 (step @p58 :rule instantiate :premises (@p12) :args (@t59)) % 0.52/0.70 (step @p59 :rule instantiate :premises (@p2) :args (@t59)) % 0.52/0.70 (step @p60 :rule instantiate :premises (@p9) :args (@t31)) % 0.52/0.70 (step @p61 :rule cnf_or_pos :args (@t62)) % 0.52/0.70 (step @p62 :rule reordering :premises (@p61) :args ((or @t45 @t49 @t61 (not @t62)))) % 0.52/0.70 (step @p63 :rule chain_m_resolution :premises (@p62 @p46 @p42 @p60) :args (@t61 @t39 (@list @t45 @t40 @t62))) % 0.52/0.70 (step @p64 :rule cnf_or_pos :args (@t65)) % 0.52/0.70 (step @p65 :rule reordering :premises (@p64) :args ((or @t60 @t64 (not @t65)))) % 0.52/0.70 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p59) :args (@t64 @t48 (@list @t60 @t65))) % 0.52/0.70 (step @p67 :rule instantiate :premises (@p11) :args (@t31)) % 0.52/0.70 (step @p68 :rule cnf_or_pos :args (@t67)) % 0.52/0.70 (step @p69 :rule reordering :premises (@p68) :args ((or @t45 @t49 @t66 (not @t67)))) % 0.52/0.70 (step @p70 :rule chain_m_resolution :premises (@p69 @p46 @p42 @p67) :args (@t66 @t39 (@list @t45 @t40 @t67))) % 0.52/0.70 (step @p71 :rule instantiate :premises (@p10) :args (@t31)) % 0.52/0.70 (step @p72 :rule cnf_or_pos :args (@t69)) % 0.52/0.70 (step @p73 :rule reordering :premises (@p72) :args ((or @t45 @t49 @t68 (not @t69)))) % 0.52/0.70 (step @p74 :rule chain_m_resolution :premises (@p73 @p46 @p42 @p71) :args (@t68 @t39 (@list @t45 @t40 @t69))) % 0.52/0.70 (step @p75 :rule cnf_or_pos :args (@t73)) % 0.52/0.70 (step @p76 :rule reordering :premises (@p75) :args ((or @t45 @t50 @t72 @t71 @t63 @t70 (not @t73)))) % 0.52/0.70 (step @p77 :rule chain_m_resolution :premises (@p76 @p46 @p49 @p74 @p70 @p66 @p58) :args (@t70 (@list true true false false true false) (@list @t45 @t50 @t68 @t66 @t63 @t73))) % 0.52/0.70 (step @p78 :rule cnf_or_pos :args (@t76)) % 0.52/0.70 (step @p79 :rule reordering :premises (@p78) :args ((or @t33 @t75 @t74 (not @t76)))) % 0.52/0.70 (step @p80 :rule chain_m_resolution :premises (@p79 @p26 @p77 @p57) :args (@t74 @t44 (@list @t28 @t70 @t76))) % 0.52/0.70 (step @p81 :rule cnf_or_pos :args (@t79)) % 0.52/0.70 (step @p82 :rule reordering :premises (@p81) :args ((or @t50 @t60 @t78 @t77 (not @t79)))) % 0.52/0.70 (step @p83 :rule chain_m_resolution :premises (@p82 @p49 @p63 @p80 @p56) :args (@t77 (@list true true false false) (@list @t50 @t60 @t74 @t79))) % 0.52/0.70 (step @p84 :rule cnf_or_pos :args (@t81)) % 0.52/0.70 (step @p85 :rule reordering :premises (@p84) :args ((or @t80 @t56 @t82))) % 0.52/0.70 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p55) :args (@t82 (@list false true) (@list @t77 @t56))) % 0.52/0.70 (assume-push @p93 @t4) % 0.52/0.70 (step @p88 :rule instantiate :premises (@p2) :args ((@list @t29 tptp.k))) % 0.52/0.70 (step-pop @p94 :rule scope :premises (@p88)) % 0.52/0.70 (step @p89 :rule process_scope :premises (@p94) :args (@t81)) % 0.52/0.70 (step @p91 :rule implies_elim :premises (@p89)) % 0.52/0.70 (step @p92 false :rule chain_m_resolution :premises (@p91 @p86 @p2) :args (false @t48 (@list @t81 @t4))) % 0.52/0.70 ) % 0.52/0.70 % SZS output end Proof % 0.52/0.70 % cvc5 exiting %------------------------------------------------------------------------------