%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN564-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 09:09:24 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN564-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 23:32:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.39 % SZS status Unsatisfiable % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-sort $$unsorted 0) % 0.15/0.39 (declare-const tptp.c11 $$unsorted) % 0.15/0.39 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.c12 $$unsorted) % 0.15/0.39 (declare-const tptp.f3 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (define @t1 () (@var "X9" $$unsorted)) % 0.15/0.39 (define @t2 () (@var "X23" $$unsorted)) % 0.15/0.39 (define @t3 () (@var "X18" $$unsorted)) % 0.15/0.39 (define @t4 () (@var "X39" $$unsorted)) % 0.15/0.39 (define @t5 () (@var "X38" $$unsorted)) % 0.15/0.39 (define @t6 () (@var "X32" $$unsorted)) % 0.15/0.39 (define @t7 () (@var "X33" $$unsorted)) % 0.15/0.39 (define @t8 () (@var "X17" $$unsorted)) % 0.15/0.39 (define @t9 () (@var "X16" $$unsorted)) % 0.15/0.39 (define @t10 () (@var "X31" $$unsorted)) % 0.15/0.39 (define @t11 () (@var "X30" $$unsorted)) % 0.15/0.39 (define @t12 () (@var "X11" $$unsorted)) % 0.15/0.39 (define @t13 () (@var "X10" $$unsorted)) % 0.15/0.39 (define @t14 () (@var "X25" $$unsorted)) % 0.15/0.39 (define @t15 () (@var "X24" $$unsorted)) % 0.15/0.39 (define @t16 () (@var "X8" $$unsorted)) % 0.15/0.39 (define @t17 () (@var "X7" $$unsorted)) % 0.15/0.39 (define @t18 () (tptp.f8 tptp.c11 tptp.c12)) % 0.15/0.39 (define @t19 () (tptp.f5 @t18)) % 0.15/0.39 (define @t20 () (tptp.f5 tptp.c12)) % 0.15/0.39 (define @t21 () (tptp.f5 tptp.c11)) % 0.15/0.39 (define @t22 () (tptp.p10 (tptp.f9 @t21 @t20) @t19)) % 0.15/0.39 (define @t23 () (@var "X5" $$unsorted)) % 0.15/0.39 (define @t24 () (@var "X6" $$unsorted)) % 0.15/0.39 (define @t25 () (@var "X4" $$unsorted)) % 0.15/0.39 (define @t26 () (tptp.p10 (tptp.f9 @t25 @t24) @t23)) % 0.15/0.39 (define @t27 () (tptp.p10 @t25 (tptp.f3 @t23 @t24))) % 0.15/0.39 (define @t28 () (@var "X3" $$unsorted)) % 0.15/0.39 (define @t29 () (@var "X2" $$unsorted)) % 0.15/0.39 (define @t30 () (@var "X1" $$unsorted)) % 0.15/0.39 (define @t31 () (@var "X0" $$unsorted)) % 0.15/0.39 (define @t32 () (forall (@list @t31 @t30 @t29 @t28) (or (tptp.p10 @t31 @t30) (not (tptp.p2 @t29 @t31)) (not (tptp.p2 @t28 @t30)) (not (tptp.p10 @t29 @t28))))) % 0.15/0.39 (define @t33 () (@var "X37" $$unsorted)) % 0.15/0.39 (define @t34 () (@var "X35" $$unsorted)) % 0.15/0.39 (define @t35 () (@var "X36" $$unsorted)) % 0.15/0.39 (define @t36 () (@var "X34" $$unsorted)) % 0.15/0.39 (define @t37 () (@var "X15" $$unsorted)) % 0.15/0.39 (define @t38 () (@var "X13" $$unsorted)) % 0.15/0.39 (define @t39 () (@var "X14" $$unsorted)) % 0.15/0.39 (define @t40 () (@var "X12" $$unsorted)) % 0.15/0.39 (define @t41 () (@var "X22" $$unsorted)) % 0.15/0.39 (define @t42 () (@var "X20" $$unsorted)) % 0.15/0.39 (define @t43 () (@var "X21" $$unsorted)) % 0.15/0.39 (define @t44 () (@var "X19" $$unsorted)) % 0.15/0.39 (define @t45 () (@var "X29" $$unsorted)) % 0.15/0.39 (define @t46 () (@var "X27" $$unsorted)) % 0.15/0.39 (define @t47 () (@var "X28" $$unsorted)) % 0.15/0.39 (define @t48 () (@var "X26" $$unsorted)) % 0.15/0.39 (define @t49 () (tptp.f7 tptp.c12)) % 0.15/0.39 (define @t50 () (tptp.f5 @t49)) % 0.15/0.39 (define @t51 () (tptp.f6 tptp.c11 @t49)) % 0.15/0.39 (define @t52 () (tptp.f5 @t51)) % 0.15/0.39 (define @t53 () (tptp.f7 (tptp.f8 tptp.c12 tptp.c11))) % 0.15/0.39 (define @t54 () (tptp.p4 @t53 @t18)) % 0.15/0.39 (define @t55 () (not @t54)) % 0.15/0.39 (define @t56 () (tptp.p4 @t18 @t18)) % 0.15/0.39 (define @t57 () (or @t56 @t55 @t55)) % 0.15/0.39 (define @t58 () (@list false false)) % 0.15/0.39 (define @t59 () (not @t56)) % 0.15/0.39 (define @t60 () (tptp.p4 @t18 @t51)) % 0.15/0.39 (define @t61 () (not @t60)) % 0.15/0.39 (define @t62 () (tptp.p4 @t51 @t18)) % 0.15/0.39 (define @t63 () (or @t62 @t61 @t59)) % 0.15/0.39 (define @t64 () (@list false false false)) % 0.15/0.39 (define @t65 () (not @t62)) % 0.15/0.39 (define @t66 () (tptp.p2 @t52 @t19)) % 0.15/0.39 (define @t67 () (or @t66 @t65)) % 0.15/0.39 (define @t68 () (tptp.p2 @t50 @t20)) % 0.15/0.39 (define @t69 () (not @t68)) % 0.15/0.39 (define @t70 () (not @t66)) % 0.15/0.39 (define @t71 () (tptp.f3 @t19 @t20)) % 0.15/0.39 (define @t72 () (tptp.f3 @t52 @t50)) % 0.15/0.39 (define @t73 () (tptp.p2 @t72 @t71)) % 0.15/0.39 (define @t74 () (or @t73 @t70 @t69)) % 0.15/0.39 (define @t75 () (tptp.p10 @t21 @t71)) % 0.15/0.39 (define @t76 () (not @t75)) % 0.15/0.39 (define @t77 () (or @t22 @t76)) % 0.15/0.39 (define @t78 () (@list true false)) % 0.15/0.39 (define @t79 () (tptp.p10 @t21 @t72)) % 0.15/0.39 (define @t80 () (not @t79)) % 0.15/0.39 (define @t81 () (not @t73)) % 0.15/0.39 (define @t82 () (tptp.p2 @t21 @t21)) % 0.15/0.39 (define @t83 () (not @t82)) % 0.15/0.39 (define @t84 () (or @t75 @t83 @t81 @t80)) % 0.15/0.39 (define @t85 () (not @t84)) % 0.15/0.39 (assume @p1 (forall (@list @t1) (tptp.p2 @t1 @t1))) % 0.15/0.39 (assume @p2 (forall (@list @t2) (tptp.p4 @t2 @t2))) % 0.15/0.39 (assume @p3 (forall (@list @t3) (tptp.p2 (tptp.f5 (tptp.f7 @t3)) (tptp.f5 @t3)))) % 0.15/0.39 (assume @p4 (forall (@list @t5 @t4) (tptp.p4 (tptp.f8 @t5 @t4) (tptp.f6 @t5 (tptp.f7 @t4))))) % 0.15/0.39 (assume @p5 (forall (@list @t6 @t7) (tptp.p4 (tptp.f7 (tptp.f8 @t6 @t7)) (tptp.f8 @t7 @t6)))) % 0.15/0.39 (assume @p6 (forall (@list @t9 @t8) (or (tptp.p2 (tptp.f5 @t9) (tptp.f5 @t8)) (not (tptp.p4 @t9 @t8))))) % 0.15/0.39 (assume @p7 (forall (@list @t11 @t10) (or (tptp.p4 (tptp.f7 @t11) (tptp.f7 @t10)) (not (tptp.p4 @t11 @t10))))) % 0.15/0.39 (assume @p8 (forall (@list @t13 @t12 @t1) (or (tptp.p2 @t13 @t12) (not (tptp.p2 @t1 @t13)) (not (tptp.p2 @t1 @t12))))) % 0.15/0.39 (assume @p9 (forall (@list @t15 @t14 @t2) (or (tptp.p4 @t15 @t14) (not (tptp.p4 @t2 @t15)) (not (tptp.p4 @t2 @t14))))) % 0.15/0.39 (assume @p10 (forall (@list @t17 @t16) (tptp.p10 (tptp.f5 @t17) (tptp.f3 (tptp.f5 (tptp.f6 @t17 @t16)) (tptp.f5 @t16))))) % 0.15/0.39 (assume @p11 (not @t22)) % 0.15/0.39 (assume @p12 (forall (@list @t25 @t23 @t24) (or @t27 (not @t26)))) % 0.15/0.39 (assume @p13 (forall (@list @t25 @t24 @t23) (or @t26 (not @t27)))) % 0.15/0.39 (assume @p14 @t32) % 0.15/0.39 (assume @p15 (forall (@list @t36 @t34 @t35 @t33) (or (tptp.p4 (tptp.f8 @t36 @t34) (tptp.f8 @t35 @t33)) (not (tptp.p4 @t36 @t35)) (not (tptp.p4 @t34 @t33))))) % 0.15/0.39 (assume @p16 (forall (@list @t40 @t38 @t39 @t37) (or (tptp.p2 (tptp.f3 @t40 @t38) (tptp.f3 @t39 @t37)) (not (tptp.p2 @t40 @t39)) (not (tptp.p2 @t38 @t37))))) % 0.15/0.39 (assume @p17 (forall (@list @t44 @t42 @t43 @t41) (or (tptp.p2 (tptp.f9 @t44 @t42) (tptp.f9 @t43 @t41)) (not (tptp.p2 @t44 @t43)) (not (tptp.p2 @t42 @t41))))) % 0.15/0.39 (assume @p18 (forall (@list @t48 @t46 @t47 @t45) (or (tptp.p4 (tptp.f6 @t48 @t46) (tptp.f6 @t47 @t45)) (not (tptp.p4 @t48 @t47)) (not (tptp.p4 @t46 @t45))))) % 0.15/0.39 (step @p19 :rule instantiate :premises (@p16) :args ((@list @t52 @t50 @t19 @t20))) % 0.15/0.39 (step @p20 :rule instantiate :premises (@p6) :args ((@list @t51 @t18))) % 0.15/0.39 (step @p21 :rule instantiate :premises (@p9) :args ((@list @t51 @t18 @t18))) % 0.15/0.39 (step @p22 :rule instantiate :premises (@p9) :args ((@list @t18 @t18 @t53))) % 0.15/0.39 (step @p23 :rule instantiate :premises (@p5) :args ((@list tptp.c12 tptp.c11))) % 0.15/0.39 (step @p24 :rule cnf_or_pos :args (@t57)) % 0.15/0.39 (step @p25 :rule factoring :premises (@p24)) % 0.15/0.39 (step @p26 :rule reordering :premises (@p25) :args ((or @t55 @t56 (not @t57)))) % 0.15/0.39 (step @p27 :rule chain_m_resolution :premises (@p26 @p23 @p22) :args (@t56 @t58 (@list @t54 @t57))) % 0.15/0.39 (step @p28 :rule instantiate :premises (@p4) :args ((@list tptp.c11 tptp.c12))) % 0.15/0.39 (step @p29 :rule cnf_or_pos :args (@t63)) % 0.15/0.39 (step @p30 :rule reordering :premises (@p29) :args ((or @t61 @t59 @t62 (not @t63)))) % 0.15/0.39 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27 @p21) :args (@t62 @t64 (@list @t60 @t56 @t63))) % 0.15/0.39 (step @p32 :rule cnf_or_pos :args (@t67)) % 0.15/0.39 (step @p33 :rule reordering :premises (@p32) :args ((or @t66 @t65 (not @t67)))) % 0.15/0.39 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p20) :args (@t66 @t58 (@list @t62 @t67))) % 0.15/0.39 (step @p35 :rule instantiate :premises (@p3) :args ((@list tptp.c12))) % 0.15/0.39 (step @p36 :rule cnf_or_pos :args (@t74)) % 0.15/0.39 (step @p37 :rule reordering :premises (@p36) :args ((or @t69 @t73 @t70 (not @t74)))) % 0.15/0.39 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34 @p19) :args (@t73 @t64 (@list @t68 @t66 @t74))) % 0.15/0.39 (step @p39 :rule instantiate :premises (@p1) :args ((@list @t21))) % 0.15/0.39 (step @p40 :rule instantiate :premises (@p10) :args ((@list tptp.c11 @t49))) % 0.15/0.39 (step @p41 :rule instantiate :premises (@p13) :args ((@list @t21 @t20 @t19))) % 0.15/0.39 (step @p42 :rule cnf_or_pos :args (@t77)) % 0.15/0.39 (step @p43 :rule reordering :premises (@p42) :args ((or @t22 @t76 (not @t77)))) % 0.15/0.39 (step @p44 :rule chain_m_resolution :premises (@p43 @p11 @p41) :args (@t76 @t78 (@list @t22 @t77))) % 0.15/0.39 (step @p45 :rule cnf_or_pos :args (@t84)) % 0.15/0.39 (step @p46 :rule reordering :premises (@p45) :args ((or @t75 @t80 @t83 @t81 @t85))) % 0.15/0.39 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p40 @p39 @p38) :args (@t85 (@list true false false false) (@list @t75 @t79 @t82 @t73))) % 0.15/0.39 (assume-push @p54 @t32) % 0.15/0.39 (step @p49 :rule instantiate :premises (@p14) :args ((@list @t21 @t71 @t21 @t72))) % 0.15/0.39 (step-pop @p55 :rule scope :premises (@p49)) % 0.15/0.39 (step @p50 :rule process_scope :premises (@p55) :args (@t84)) % 0.15/0.39 (step @p52 :rule implies_elim :premises (@p50)) % 0.15/0.39 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p14) :args (false @t78 (@list @t84 @t32))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------