%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN586-1 : 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 : n005.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 0.40s 0.63s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN586-1 : 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 % 0.19/0.35 % Computer : n005.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 23:32:33 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.63 % SZS status Unsatisfiable % 0.40/0.63 % SZS output start Proof % 0.40/0.63 ( % 0.40/0.63 (declare-sort $$unsorted 0) % 0.40/0.63 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.c17 $$unsorted) % 0.40/0.63 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.c16 $$unsorted) % 0.40/0.63 (declare-const tptp.p12 (-> $$unsorted $$unsorted Bool)) % 0.40/0.63 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.40/0.63 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.40/0.63 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.c19 $$unsorted) % 0.40/0.63 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 0.40/0.63 (declare-const tptp.c21 $$unsorted) % 0.40/0.63 (declare-const tptp.c18 $$unsorted) % 0.40/0.63 (declare-const tptp.c20 $$unsorted) % 0.40/0.63 (declare-const tptp.f10 (-> $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.40/0.63 (declare-const tptp.f9 (-> $$unsorted $$unsorted)) % 0.40/0.63 (declare-const tptp.f8 (-> $$unsorted $$unsorted)) % 0.40/0.63 (define @t1 () (@var "X0" $$unsorted)) % 0.40/0.63 (define @t2 () (@var "X37" $$unsorted)) % 0.40/0.63 (define @t3 () (@var "X24" $$unsorted)) % 0.40/0.63 (define @t4 () (@var "X13" $$unsorted)) % 0.40/0.63 (define @t5 () (tptp.p3 tptp.c21 tptp.c19)) % 0.40/0.63 (define @t6 () (tptp.f13 tptp.c18)) % 0.40/0.63 (define @t7 () (@var "X4" $$unsorted)) % 0.40/0.63 (define @t8 () (@var "X3" $$unsorted)) % 0.40/0.63 (define @t9 () (@var "X43" $$unsorted)) % 0.40/0.63 (define @t10 () (@var "X42" $$unsorted)) % 0.40/0.63 (define @t11 () (@var "X41" $$unsorted)) % 0.40/0.63 (define @t12 () (@var "X40" $$unsorted)) % 0.40/0.63 (define @t13 () (@var "X36" $$unsorted)) % 0.40/0.63 (define @t14 () (@var "X35" $$unsorted)) % 0.40/0.63 (define @t15 () (@var "X34" $$unsorted)) % 0.40/0.63 (define @t16 () (@var "X33" $$unsorted)) % 0.40/0.63 (define @t17 () (@var "X28" $$unsorted)) % 0.40/0.63 (define @t18 () (@var "X27" $$unsorted)) % 0.40/0.63 (define @t19 () (@var "X2" $$unsorted)) % 0.40/0.63 (define @t20 () (@var "X1" $$unsorted)) % 0.40/0.63 (define @t21 () (@var "X39" $$unsorted)) % 0.40/0.63 (define @t22 () (@var "X38" $$unsorted)) % 0.40/0.63 (define @t23 () (@var "X26" $$unsorted)) % 0.40/0.63 (define @t24 () (@var "X25" $$unsorted)) % 0.40/0.63 (define @t25 () (@var "X15" $$unsorted)) % 0.40/0.63 (define @t26 () (@var "X14" $$unsorted)) % 0.40/0.63 (define @t27 () (@var "X12" $$unsorted)) % 0.40/0.63 (define @t28 () (@var "X11" $$unsorted)) % 0.40/0.63 (define @t29 () (@var "X10" $$unsorted)) % 0.40/0.63 (define @t30 () (@var "X9" $$unsorted)) % 0.40/0.63 (define @t31 () (tptp.f6 (tptp.f7 (tptp.f8 (tptp.f9 tptp.c17))) tptp.c18)) % 0.40/0.63 (define @t32 () (tptp.f6 (tptp.f10 tptp.c16) @t31)) % 0.40/0.63 (define @t33 () (@var "X32" $$unsorted)) % 0.40/0.63 (define @t34 () (@var "X30" $$unsorted)) % 0.40/0.63 (define @t35 () (@var "X31" $$unsorted)) % 0.40/0.63 (define @t36 () (@var "X29" $$unsorted)) % 0.40/0.63 (define @t37 () (@var "X19" $$unsorted)) % 0.40/0.63 (define @t38 () (@var "X17" $$unsorted)) % 0.40/0.63 (define @t39 () (@var "X18" $$unsorted)) % 0.40/0.63 (define @t40 () (@var "X16" $$unsorted)) % 0.40/0.63 (define @t41 () (forall (@list @t40 @t38 @t39 @t37) (or (tptp.p2 (tptp.f4 @t40 @t38) (tptp.f4 @t39 @t37)) (not (tptp.p2 @t40 @t39)) (not (tptp.p3 @t38 @t37))))) % 0.40/0.63 (define @t42 () (@var "X22" $$unsorted)) % 0.40/0.63 (define @t43 () (@var "X20" $$unsorted)) % 0.40/0.63 (define @t44 () (@var "X23" $$unsorted)) % 0.40/0.63 (define @t45 () (@var "X21" $$unsorted)) % 0.40/0.63 (define @t46 () (tptp.f11 tptp.c21)) % 0.40/0.63 (define @t47 () (tptp.f4 @t32 @t46)) % 0.40/0.63 (define @t48 () (tptp.p15 @t47 tptp.c20)) % 0.40/0.63 (define @t49 () (tptp.f11 tptp.c19)) % 0.40/0.63 (define @t50 () (tptp.f4 @t32 @t49)) % 0.40/0.63 (define @t51 () (tptp.p15 @t50 tptp.c20)) % 0.40/0.63 (define @t52 () (@var "X5" $$unsorted)) % 0.40/0.63 (define @t53 () (@var "X6" $$unsorted)) % 0.40/0.63 (define @t54 () (tptp.f14 @t52 @t53)) % 0.40/0.63 (define @t55 () (tptp.f6 (tptp.f10 @t53) @t31)) % 0.40/0.63 (define @t56 () (tptp.p12 (tptp.f13 @t52) @t6)) % 0.40/0.63 (define @t57 () (@list @t52 @t53)) % 0.40/0.63 (define @t58 () (@var "X8" $$unsorted)) % 0.40/0.63 (define @t59 () (@var "X7" $$unsorted)) % 0.40/0.63 (define @t60 () (not @t48)) % 0.40/0.63 (define @t61 () (tptp.p2 tptp.c20 tptp.c20)) % 0.40/0.63 (define @t62 () (not @t61)) % 0.40/0.63 (define @t63 () (tptp.p2 @t47 @t50)) % 0.40/0.63 (define @t64 () (not @t63)) % 0.40/0.63 (define @t65 () (or @t51 @t64 @t62 @t60)) % 0.40/0.63 (define @t66 () (not @t5)) % 0.40/0.63 (define @t67 () (tptp.p3 @t46 @t49)) % 0.40/0.63 (define @t68 () (or @t67 @t66)) % 0.40/0.63 (define @t69 () (not @t67)) % 0.40/0.63 (define @t70 () (tptp.p2 @t32 @t32)) % 0.40/0.63 (define @t71 () (not @t70)) % 0.40/0.63 (define @t72 () (or @t63 @t71 @t69)) % 0.40/0.63 (define @t73 () (not @t72)) % 0.40/0.63 (assume @p1 (forall (@list @t1) (tptp.p12 @t1 @t1))) % 0.40/0.63 (assume @p2 (forall (@list @t2) (tptp.p5 @t2 @t2))) % 0.40/0.63 (assume @p3 (forall (@list @t3) (tptp.p3 @t3 @t3))) % 0.40/0.63 (assume @p4 (forall (@list @t4) (tptp.p2 @t4 @t4))) % 0.40/0.63 (assume @p5 @t5) % 0.40/0.63 (assume @p6 (not (tptp.p12 (tptp.f13 tptp.c20) @t6))) % 0.40/0.63 (assume @p7 (forall (@list @t8 @t7) (or (tptp.p12 (tptp.f13 @t8) (tptp.f13 @t7)) (not (tptp.p2 @t8 @t7))))) % 0.40/0.63 (assume @p8 (forall (@list @t10 @t9) (or (tptp.p5 (tptp.f7 @t10) (tptp.f7 @t9)) (not (tptp.p3 @t10 @t9))))) % 0.40/0.63 (assume @p9 (forall (@list @t12 @t11) (or (tptp.p5 (tptp.f10 @t12) (tptp.f10 @t11)) (not (tptp.p5 @t12 @t11))))) % 0.40/0.63 (assume @p10 (forall (@list @t14 @t13) (or (tptp.p3 (tptp.f9 @t14) (tptp.f9 @t13)) (not (tptp.p3 @t14 @t13))))) % 0.40/0.63 (assume @p11 (forall (@list @t16 @t15) (or (tptp.p3 (tptp.f8 @t16) (tptp.f8 @t15)) (not (tptp.p3 @t16 @t15))))) % 0.40/0.63 (assume @p12 (forall (@list @t18 @t17) (or (tptp.p3 (tptp.f11 @t18) (tptp.f11 @t17)) (not (tptp.p3 @t18 @t17))))) % 0.40/0.63 (assume @p13 (forall (@list @t20 @t19 @t1) (or (tptp.p12 @t20 @t19) (not (tptp.p12 @t1 @t20)) (not (tptp.p12 @t1 @t19))))) % 0.40/0.63 (assume @p14 (forall (@list @t22 @t21 @t2) (or (tptp.p5 @t22 @t21) (not (tptp.p5 @t2 @t22)) (not (tptp.p5 @t2 @t21))))) % 0.40/0.63 (assume @p15 (forall (@list @t24 @t23 @t3) (or (tptp.p3 @t24 @t23) (not (tptp.p3 @t3 @t24)) (not (tptp.p3 @t3 @t23))))) % 0.40/0.63 (assume @p16 (forall (@list @t26 @t25 @t4) (or (tptp.p2 @t26 @t25) (not (tptp.p2 @t4 @t26)) (not (tptp.p2 @t4 @t25))))) % 0.40/0.63 (assume @p17 (forall (@list @t30 @t29 @t28 @t27) (or (tptp.p15 @t30 @t29) (not (tptp.p2 @t28 @t30)) (not (tptp.p2 @t27 @t29)) (not (tptp.p15 @t28 @t27))))) % 0.40/0.63 (assume @p18 (tptp.p15 (tptp.f4 @t32 tptp.c19) tptp.c20)) % 0.40/0.63 (assume @p19 (forall (@list @t36 @t34 @t35 @t33) (or (tptp.p3 (tptp.f14 @t36 @t34) (tptp.f14 @t35 @t33)) (not (tptp.p2 @t36 @t35)) (not (tptp.p5 @t34 @t33))))) % 0.40/0.63 (assume @p20 @t41) % 0.40/0.63 (assume @p21 (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))))) % 0.40/0.63 (assume @p22 @t48) % 0.40/0.63 (assume @p23 (not @t51)) % 0.40/0.63 (assume @p24 (forall @t57 (or @t56 (tptp.p15 (tptp.f4 @t55 @t54) @t52)))) % 0.40/0.63 (assume @p25 (forall @t57 (or @t56 (not (tptp.p15 (tptp.f4 @t55 (tptp.f11 @t54)) @t52))))) % 0.40/0.63 (assume @p26 (forall (@list @t59 @t58 @t52 @t53) (or (tptp.p3 @t59 @t58) @t56 (tptp.p15 (tptp.f4 @t55 (tptp.f11 @t58)) @t52) (tptp.p15 (tptp.f4 @t55 (tptp.f11 @t59)) @t52) (not (tptp.p15 (tptp.f4 @t55 @t59) @t52)) (not (tptp.p15 (tptp.f4 @t55 @t58) @t52))))) % 0.40/0.63 (step @p27 :rule instantiate :premises (@p17) :args ((@list @t50 tptp.c20 @t47 tptp.c20))) % 0.40/0.63 (step @p28 :rule instantiate :premises (@p4) :args ((@list tptp.c20))) % 0.40/0.63 (step @p29 :rule cnf_or_pos :args (@t65)) % 0.40/0.63 (step @p30 :rule reordering :premises (@p29) :args ((or @t51 @t60 @t62 @t64 (not @t65)))) % 0.40/0.63 (step @p31 :rule chain_m_resolution :premises (@p30 @p23 @p22 @p28 @p27) :args (@t64 (@list true false false false) (@list @t51 @t48 @t61 @t65))) % 0.40/0.63 (step @p32 :rule instantiate :premises (@p12) :args ((@list tptp.c21 tptp.c19))) % 0.40/0.63 (step @p33 :rule cnf_or_pos :args (@t68)) % 0.40/0.63 (step @p34 :rule reordering :premises (@p33) :args ((or @t66 @t67 (not @t68)))) % 0.40/0.63 (step @p35 :rule chain_m_resolution :premises (@p34 @p5 @p32) :args (@t67 (@list false false) (@list @t5 @t68))) % 0.40/0.63 (step @p36 :rule instantiate :premises (@p4) :args ((@list @t32))) % 0.40/0.63 (step @p37 :rule cnf_or_pos :args (@t72)) % 0.40/0.63 (step @p38 :rule reordering :premises (@p37) :args ((or @t71 @t69 @t63 @t73))) % 0.40/0.63 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p35 @p31) :args (@t73 (@list false false true) (@list @t70 @t67 @t63))) % 0.40/0.63 (assume-push @p46 @t41) % 0.40/0.63 (step @p41 :rule instantiate :premises (@p20) :args ((@list @t32 @t46 @t32 @t49))) % 0.40/0.63 (step-pop @p47 :rule scope :premises (@p41)) % 0.40/0.63 (step @p42 :rule process_scope :premises (@p47) :args (@t72)) % 0.40/0.63 (step @p44 :rule implies_elim :premises (@p42)) % 0.40/0.63 (step @p45 false :rule chain_m_resolution :premises (@p44 @p39 @p20) :args (false (@list true false) (@list @t72 @t41))) % 0.40/0.63 ) % 0.38/0.64 % SZS output end Proof % 0.38/0.64 % cvc5 exiting %------------------------------------------------------------------------------