%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN581-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 09:09:26 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN581-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n017.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:31:16 EDT 2026 % 0.16/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Unsatisfiable % 0.46/0.64 % SZS output start Proof % 0.46/0.64 ( % 0.46/0.64 (declare-sort $$unsorted 0) % 0.46/0.64 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.p11 (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.c17 $$unsorted) % 0.46/0.64 (declare-const tptp.p10 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.c18 $$unsorted) % 0.46/0.64 (declare-const tptp.c13 $$unsorted) % 0.46/0.64 (declare-const tptp.p12 (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.c15 $$unsorted) % 0.46/0.64 (declare-const tptp.c14 $$unsorted) % 0.46/0.64 (declare-const tptp.f9 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.f8 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.c16 $$unsorted) % 0.46/0.64 (define @t1 () (@var "X34" $$unsorted)) % 0.46/0.64 (define @t2 () (@var "X18" $$unsorted)) % 0.46/0.64 (define @t3 () (@var "X31" $$unsorted)) % 0.46/0.64 (define @t4 () (tptp.p2 tptp.c18 tptp.c14)) % 0.46/0.64 (define @t5 () (tptp.f8 (tptp.f9 tptp.c17))) % 0.46/0.64 (define @t6 () (tptp.f6 tptp.c15 tptp.c14)) % 0.46/0.64 (define @t7 () (tptp.f4 @t6)) % 0.46/0.64 (define @t8 () (tptp.p11 @t7 tptp.c16)) % 0.46/0.64 (define @t9 () (tptp.f6 tptp.c15 tptp.c18)) % 0.46/0.64 (define @t10 () (tptp.f4 @t9)) % 0.46/0.64 (define @t11 () (tptp.p11 @t10 tptp.c16)) % 0.46/0.64 (define @t12 () (@var "X12" $$unsorted)) % 0.46/0.64 (define @t13 () (@var "X11" $$unsorted)) % 0.46/0.64 (define @t14 () (tptp.p12 @t13 @t12)) % 0.46/0.64 (define @t15 () (tptp.p11 @t13 @t12)) % 0.46/0.64 (define @t16 () (@list @t13 @t12)) % 0.46/0.64 (define @t17 () (tptp.p2 @t13 @t12)) % 0.46/0.64 (define @t18 () (@var "X38" $$unsorted)) % 0.46/0.64 (define @t19 () (@var "X37" $$unsorted)) % 0.46/0.64 (define @t20 () (@var "X22" $$unsorted)) % 0.46/0.64 (define @t21 () (@var "X21" $$unsorted)) % 0.46/0.64 (define @t22 () (@var "X24" $$unsorted)) % 0.46/0.64 (define @t23 () (@var "X23" $$unsorted)) % 0.46/0.64 (define @t24 () (@var "X30" $$unsorted)) % 0.46/0.64 (define @t25 () (@var "X29" $$unsorted)) % 0.46/0.64 (define @t26 () (@var "X36" $$unsorted)) % 0.46/0.64 (define @t27 () (@var "X35" $$unsorted)) % 0.46/0.64 (define @t28 () (@var "X20" $$unsorted)) % 0.46/0.64 (define @t29 () (@var "X19" $$unsorted)) % 0.46/0.64 (define @t30 () (forall (@list @t29 @t28 @t2) (or (tptp.p2 @t29 @t28) (not (tptp.p2 @t2 @t29)) (not (tptp.p2 @t2 @t28))))) % 0.46/0.65 (define @t31 () (@var "X33" $$unsorted)) % 0.46/0.65 (define @t32 () (@var "X32" $$unsorted)) % 0.46/0.65 (define @t33 () (@var "X6" $$unsorted)) % 0.46/0.65 (define @t34 () (@var "X10" $$unsorted)) % 0.46/0.65 (define @t35 () (@var "X9" $$unsorted)) % 0.46/0.65 (define @t36 () (@var "X8" $$unsorted)) % 0.46/0.65 (define @t37 () (@var "X7" $$unsorted)) % 0.46/0.65 (define @t38 () (@var "X17" $$unsorted)) % 0.46/0.65 (define @t39 () (@var "X16" $$unsorted)) % 0.46/0.65 (define @t40 () (@var "X15" $$unsorted)) % 0.46/0.65 (define @t41 () (@var "X14" $$unsorted)) % 0.46/0.65 (define @t42 () (@var "X27" $$unsorted)) % 0.46/0.65 (define @t43 () (@var "X25" $$unsorted)) % 0.46/0.65 (define @t44 () (@var "X28" $$unsorted)) % 0.46/0.65 (define @t45 () (@var "X26" $$unsorted)) % 0.46/0.65 (define @t46 () (@var "X5" $$unsorted)) % 0.46/0.65 (define @t47 () (@var "X4" $$unsorted)) % 0.46/0.65 (define @t48 () (@var "X3" $$unsorted)) % 0.46/0.65 (define @t49 () (@var "X1" $$unsorted)) % 0.46/0.65 (define @t50 () (@var "X2" $$unsorted)) % 0.46/0.65 (define @t51 () (@var "X0" $$unsorted)) % 0.46/0.65 (define @t52 () (@var "X13" $$unsorted)) % 0.46/0.65 (define @t53 () (tptp.p2 tptp.c18 tptp.c18)) % 0.46/0.65 (define @t54 () (not @t53)) % 0.46/0.65 (define @t55 () (not @t4)) % 0.46/0.65 (define @t56 () (tptp.p2 tptp.c14 tptp.c18)) % 0.46/0.65 (define @t57 () (or @t56 @t55 @t54)) % 0.46/0.65 (define @t58 () (@list false false false)) % 0.46/0.65 (define @t59 () (tptp.p5 tptp.c15 tptp.c15)) % 0.46/0.65 (define @t60 () (not @t59)) % 0.46/0.65 (define @t61 () (not @t56)) % 0.46/0.65 (define @t62 () (tptp.p2 @t6 @t9)) % 0.46/0.65 (define @t63 () (or @t62 @t61 @t60)) % 0.46/0.65 (define @t64 () (not @t62)) % 0.46/0.65 (define @t65 () (tptp.p2 @t7 @t10)) % 0.46/0.65 (define @t66 () (or @t65 @t64)) % 0.46/0.65 (define @t67 () (@list @t10 tptp.c16)) % 0.46/0.65 (define @t68 () (tptp.p12 @t10 tptp.c16)) % 0.46/0.65 (define @t69 () (not @t68)) % 0.46/0.65 (define @t70 () (or @t11 @t69)) % 0.46/0.65 (define @t71 () (@list true false)) % 0.46/0.65 (define @t72 () (tptp.p12 @t7 tptp.c16)) % 0.46/0.65 (define @t73 () (not @t72)) % 0.46/0.65 (define @t74 () (tptp.p2 tptp.c16 tptp.c16)) % 0.46/0.65 (define @t75 () (not @t74)) % 0.46/0.65 (define @t76 () (not @t65)) % 0.46/0.65 (define @t77 () (or @t68 @t76 @t75 @t73)) % 0.46/0.65 (define @t78 () (not @t8)) % 0.46/0.65 (define @t79 () (tptp.p2 @t7 tptp.c16)) % 0.46/0.65 (define @t80 () (or @t72 @t79 @t78)) % 0.46/0.65 (define @t81 () (tptp.p2 @t10 tptp.c16)) % 0.46/0.65 (define @t82 () (not @t81)) % 0.46/0.65 (define @t83 () (or @t11 @t82)) % 0.46/0.65 (define @t84 () (not @t79)) % 0.46/0.65 (define @t85 () (or @t81 @t76 @t84)) % 0.46/0.65 (define @t86 () (not @t85)) % 0.46/0.65 (assume @p1 (forall (@list @t1) (tptp.p7 @t1 @t1))) % 0.46/0.65 (assume @p2 (forall (@list @t2) (tptp.p2 @t2 @t2))) % 0.46/0.65 (assume @p3 (forall (@list @t3) (tptp.p5 @t3 @t3))) % 0.46/0.65 (assume @p4 (tptp.p12 tptp.c13 tptp.c18)) % 0.46/0.65 (assume @p5 @t4) % 0.46/0.65 (assume @p6 (tptp.p2 (tptp.f3 tptp.c18) @t5)) % 0.46/0.65 (assume @p7 (tptp.p11 (tptp.f4 (tptp.f6 tptp.c15 tptp.c13)) tptp.c16)) % 0.46/0.65 (assume @p8 @t8) % 0.46/0.65 (assume @p9 (not @t11)) % 0.46/0.65 (assume @p10 (forall @t16 (or @t15 (not @t14)))) % 0.46/0.65 (assume @p11 (forall @t16 (or @t15 (not @t17)))) % 0.46/0.65 (assume @p12 (forall (@list @t19 @t18) (or (tptp.p7 (tptp.f9 @t19) (tptp.f9 @t18)) (not (tptp.p7 @t19 @t18))))) % 0.46/0.65 (assume @p13 (forall (@list @t21 @t20) (or (tptp.p2 (tptp.f3 @t21) (tptp.f3 @t20)) (not (tptp.p2 @t21 @t20))))) % 0.46/0.65 (assume @p14 (forall (@list @t23 @t22) (or (tptp.p2 (tptp.f4 @t23) (tptp.f4 @t22)) (not (tptp.p2 @t23 @t22))))) % 0.46/0.65 (assume @p15 (forall (@list @t25 @t24) (or (tptp.p2 (tptp.f8 @t25) (tptp.f8 @t24)) (not (tptp.p7 @t25 @t24))))) % 0.46/0.65 (assume @p16 (forall @t16 (or @t14 @t17 (not @t15)))) % 0.46/0.65 (assume @p17 (forall (@list @t27 @t26 @t1) (or (tptp.p7 @t27 @t26) (not (tptp.p7 @t1 @t27)) (not (tptp.p7 @t1 @t26))))) % 0.46/0.65 (assume @p18 @t30) % 0.46/0.65 (assume @p19 (forall (@list @t32 @t31 @t3) (or (tptp.p5 @t32 @t31) (not (tptp.p5 @t3 @t32)) (not (tptp.p5 @t3 @t31))))) % 0.46/0.65 (assume @p20 (forall (@list @t33) (or (tptp.p10 tptp.c15 (tptp.f3 @t33) @t33) (not (tptp.p11 @t33 tptp.c14)) (not (tptp.p11 tptp.c13 @t33))))) % 0.46/0.65 (assume @p21 (forall (@list @t37 @t36 @t35 @t34) (or (tptp.p11 @t37 @t36) (not (tptp.p2 @t35 @t37)) (not (tptp.p2 @t34 @t36)) (not (tptp.p11 @t35 @t34))))) % 0.46/0.65 (assume @p22 (forall (@list @t41 @t40 @t39 @t38) (or (tptp.p12 @t41 @t40) (not (tptp.p2 @t39 @t41)) (not (tptp.p2 @t38 @t40)) (not (tptp.p12 @t39 @t38))))) % 0.46/0.65 (assume @p23 (forall (@list @t43 @t45 @t42 @t44) (or (tptp.p2 (tptp.f6 @t43 @t45) (tptp.f6 @t42 @t44)) (not (tptp.p2 @t45 @t44)) (not (tptp.p5 @t43 @t42))))) % 0.46/0.65 (assume @p24 (forall (@list @t51 @t49 @t50 @t48 @t46 @t47) (or (tptp.p10 @t51 @t49 @t50) (not (tptp.p5 @t48 @t51)) (not (tptp.p2 @t46 @t50)) (not (tptp.p2 @t47 @t49)) (not (tptp.p10 @t48 @t47 @t46))))) % 0.46/0.65 (assume @p25 (forall (@list @t52) (or (tptp.p11 (tptp.f4 (tptp.f6 tptp.c15 @t52)) tptp.c16) (not (tptp.p12 @t52 tptp.c14)) (not (tptp.p12 tptp.c13 @t52)) (not (tptp.p2 (tptp.f3 @t52) @t5))))) % 0.46/0.65 (step @p26 :rule instantiate :premises (@p14) :args ((@list @t6 @t9))) % 0.46/0.65 (step @p27 :rule instantiate :premises (@p23) :args ((@list tptp.c15 tptp.c14 tptp.c15 tptp.c18))) % 0.46/0.65 (step @p28 :rule instantiate :premises (@p3) :args ((@list tptp.c15))) % 0.46/0.65 (step @p29 :rule instantiate :premises (@p18) :args ((@list tptp.c14 tptp.c18 tptp.c18))) % 0.46/0.65 (step @p30 :rule instantiate :premises (@p2) :args ((@list tptp.c18))) % 0.46/0.65 (step @p31 :rule cnf_or_pos :args (@t57)) % 0.46/0.65 (step @p32 :rule reordering :premises (@p31) :args ((or @t55 @t54 @t56 (not @t57)))) % 0.46/0.65 (step @p33 :rule chain_m_resolution :premises (@p32 @p5 @p30 @p29) :args (@t56 @t58 (@list @t4 @t53 @t57))) % 0.46/0.65 (step @p34 :rule cnf_or_pos :args (@t63)) % 0.46/0.65 (step @p35 :rule reordering :premises (@p34) :args ((or @t61 @t60 @t62 (not @t63)))) % 0.46/0.65 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p28 @p27) :args (@t62 @t58 (@list @t56 @t59 @t63))) % 0.46/0.65 (step @p37 :rule cnf_or_pos :args (@t66)) % 0.46/0.65 (step @p38 :rule reordering :premises (@p37) :args ((or @t65 @t64 (not @t66)))) % 0.46/0.65 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p26) :args (@t65 (@list false false) (@list @t62 @t66))) % 0.46/0.65 (step @p40 :rule instantiate :premises (@p16) :args ((@list @t7 tptp.c16))) % 0.46/0.65 (step @p41 :rule instantiate :premises (@p22) :args ((@list @t10 tptp.c16 @t7 tptp.c16))) % 0.46/0.65 (step @p42 :rule instantiate :premises (@p2) :args ((@list tptp.c16))) % 0.46/0.65 (step @p43 :rule instantiate :premises (@p10) :args (@t67)) % 0.46/0.65 (step @p44 :rule cnf_or_pos :args (@t70)) % 0.46/0.65 (step @p45 :rule reordering :premises (@p44) :args ((or @t11 @t69 (not @t70)))) % 0.46/0.65 (step @p46 :rule chain_m_resolution :premises (@p45 @p9 @p43) :args (@t69 @t71 (@list @t11 @t70))) % 0.46/0.65 (step @p47 :rule cnf_or_pos :args (@t77)) % 0.46/0.65 (step @p48 :rule reordering :premises (@p47) :args ((or @t68 @t73 @t75 @t76 (not @t77)))) % 0.46/0.65 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p42 @p39 @p41) :args (@t73 (@list true false false false) (@list @t68 @t74 @t65 @t77))) % 0.46/0.65 (step @p50 :rule cnf_or_pos :args (@t80)) % 0.46/0.65 (step @p51 :rule reordering :premises (@p50) :args ((or @t78 @t72 @t79 (not @t80)))) % 0.46/0.65 (step @p52 :rule chain_m_resolution :premises (@p51 @p8 @p49 @p40) :args (@t79 (@list false true false) (@list @t8 @t72 @t80))) % 0.46/0.65 (step @p53 :rule instantiate :premises (@p11) :args (@t67)) % 0.46/0.65 (step @p54 :rule cnf_or_pos :args (@t83)) % 0.46/0.65 (step @p55 :rule reordering :premises (@p54) :args ((or @t11 @t82 (not @t83)))) % 0.46/0.65 (step @p56 :rule chain_m_resolution :premises (@p55 @p9 @p53) :args (@t82 @t71 (@list @t11 @t83))) % 0.46/0.65 (step @p57 :rule cnf_or_pos :args (@t85)) % 0.46/0.65 (step @p58 :rule reordering :premises (@p57) :args ((or @t81 @t84 @t76 @t86))) % 0.46/0.65 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p52 @p39) :args (@t86 (@list true false false) (@list @t81 @t79 @t65))) % 0.46/0.65 (assume-push @p66 @t30) % 0.46/0.65 (step @p61 :rule instantiate :premises (@p18) :args ((@list @t10 tptp.c16 @t7))) % 0.46/0.65 (step-pop @p67 :rule scope :premises (@p61)) % 0.46/0.65 (step @p62 :rule process_scope :premises (@p67) :args (@t85)) % 0.46/0.65 (step @p64 :rule implies_elim :premises (@p62)) % 0.46/0.65 (step @p65 false :rule chain_m_resolution :premises (@p64 @p59 @p18) :args (false @t71 (@list @t85 @t30))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------