%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN594-1 : 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 : n023.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 09:09:27 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN594-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:33:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.c21 $$unsorted) % 0.38/0.57 (declare-const tptp.c20 $$unsorted) % 0.38/0.57 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c16 $$unsorted) % 0.38/0.57 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c18 $$unsorted) % 0.38/0.57 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.p14 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.c22 $$unsorted) % 0.38/0.57 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.c19 $$unsorted) % 0.38/0.57 (declare-const tptp.c17 $$unsorted) % 0.38/0.57 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "X10" $$unsorted)) % 0.38/0.57 (define @t2 () (forall (@list @t1) (tptp.p2 @t1 @t1))) % 0.38/0.57 (define @t3 () (@var "X27" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.f3 tptp.c17)) % 0.38/0.57 (define @t5 () (tptp.f5 tptp.c17)) % 0.38/0.57 (define @t6 () (tptp.f3 (tptp.f4 @t5))) % 0.38/0.57 (define @t7 () (tptp.p14 tptp.c18 @t6)) % 0.38/0.57 (define @t8 () (@var "X5" $$unsorted)) % 0.38/0.57 (define @t9 () (@var "X4" $$unsorted)) % 0.38/0.57 (define @t10 () (tptp.p14 @t9 @t8)) % 0.38/0.57 (define @t11 () (not @t10)) % 0.38/0.57 (define @t12 () (tptp.p15 @t9 @t8)) % 0.38/0.57 (define @t13 () (@list @t9 @t8)) % 0.38/0.57 (define @t14 () (tptp.p2 @t9 @t8)) % 0.38/0.57 (define @t15 () (tptp.f6 @t6 tptp.c16)) % 0.38/0.57 (define @t16 () (tptp.p14 tptp.c19 @t15)) % 0.38/0.57 (define @t17 () (@var "X37" $$unsorted)) % 0.38/0.57 (define @t18 () (@var "X36" $$unsorted)) % 0.38/0.57 (define @t19 () (@var "X18" $$unsorted)) % 0.38/0.57 (define @t20 () (@var "X17" $$unsorted)) % 0.38/0.57 (define @t21 () (@var "X20" $$unsorted)) % 0.38/0.57 (define @t22 () (@var "X19" $$unsorted)) % 0.38/0.57 (define @t23 () (@var "X22" $$unsorted)) % 0.38/0.57 (define @t24 () (@var "X21" $$unsorted)) % 0.38/0.57 (define @t25 () (@var "X35" $$unsorted)) % 0.38/0.57 (define @t26 () (@var "X34" $$unsorted)) % 0.38/0.57 (define @t27 () (@var "X29" $$unsorted)) % 0.38/0.57 (define @t28 () (@var "X28" $$unsorted)) % 0.38/0.57 (define @t29 () (@var "X12" $$unsorted)) % 0.38/0.57 (define @t30 () (@var "X11" $$unsorted)) % 0.38/0.57 (define @t31 () (tptp.f3 @t5)) % 0.38/0.57 (define @t32 () (tptp.f6 @t6 (tptp.f13 tptp.c16 @t31))) % 0.38/0.57 (define @t33 () (tptp.p15 @t32 tptp.c19)) % 0.38/0.57 (define @t34 () (tptp.p2 tptp.c19 @t32)) % 0.38/0.57 (define @t35 () (@var "X3" $$unsorted)) % 0.38/0.57 (define @t36 () (@var "X2" $$unsorted)) % 0.38/0.57 (define @t37 () (@var "X1" $$unsorted)) % 0.38/0.57 (define @t38 () (@var "X0" $$unsorted)) % 0.38/0.57 (define @t39 () (@var "X9" $$unsorted)) % 0.38/0.57 (define @t40 () (@var "X8" $$unsorted)) % 0.38/0.57 (define @t41 () (@var "X7" $$unsorted)) % 0.38/0.57 (define @t42 () (@var "X6" $$unsorted)) % 0.38/0.57 (define @t43 () (@var "X16" $$unsorted)) % 0.38/0.57 (define @t44 () (@var "X14" $$unsorted)) % 0.38/0.57 (define @t45 () (@var "X15" $$unsorted)) % 0.38/0.57 (define @t46 () (@var "X13" $$unsorted)) % 0.38/0.57 (define @t47 () (@var "X45" $$unsorted)) % 0.38/0.57 (define @t48 () (@var "X43" $$unsorted)) % 0.38/0.57 (define @t49 () (@var "X44" $$unsorted)) % 0.38/0.57 (define @t50 () (@var "X42" $$unsorted)) % 0.38/0.57 (define @t51 () (@var "X41" $$unsorted)) % 0.38/0.57 (define @t52 () (@var "X39" $$unsorted)) % 0.38/0.57 (define @t53 () (@var "X40" $$unsorted)) % 0.38/0.57 (define @t54 () (@var "X38" $$unsorted)) % 0.38/0.57 (define @t55 () (@var "X32" $$unsorted)) % 0.38/0.57 (define @t56 () (@var "X30" $$unsorted)) % 0.38/0.57 (define @t57 () (@var "X33" $$unsorted)) % 0.38/0.57 (define @t58 () (@var "X31" $$unsorted)) % 0.38/0.57 (define @t59 () (@var "X26" $$unsorted)) % 0.38/0.57 (define @t60 () (@var "X24" $$unsorted)) % 0.38/0.57 (define @t61 () (@var "X25" $$unsorted)) % 0.38/0.57 (define @t62 () (@var "X23" $$unsorted)) % 0.38/0.57 (define @t63 () (tptp.f11 @t6)) % 0.38/0.57 (define @t64 () (tptp.f10 @t63 tptp.c22)) % 0.38/0.57 (define @t65 () (tptp.f12 (tptp.f11 @t31))) % 0.38/0.57 (define @t66 () (tptp.p7 tptp.c20 (tptp.f8 (tptp.f10 @t65 tptp.c18) (tptp.f8 (tptp.f10 @t63 tptp.c21) (tptp.f9 (tptp.f11 tptp.c19) @t64))))) % 0.38/0.57 (define @t67 () (@var "X47" $$unsorted)) % 0.38/0.57 (define @t68 () (@var "X48" $$unsorted)) % 0.38/0.57 (define @t69 () (@var "X46" $$unsorted)) % 0.38/0.57 (define @t70 () (not (tptp.p7 tptp.c20 (tptp.f8 (tptp.f10 @t65 @t69) (tptp.f8 (tptp.f10 @t63 @t68) (tptp.f9 (tptp.f11 @t67) @t64)))))) % 0.38/0.57 (define @t71 () (not (tptp.p15 @t67 @t15))) % 0.38/0.57 (define @t72 () (not (tptp.p14 @t69 @t6))) % 0.38/0.57 (define @t73 () (not @t16)) % 0.38/0.57 (define @t74 () (tptp.p15 tptp.c19 @t15)) % 0.38/0.57 (define @t75 () (or @t74 @t73)) % 0.38/0.57 (define @t76 () (not @t66)) % 0.38/0.57 (define @t77 () (tptp.p14 @t32 tptp.c19)) % 0.38/0.57 (define @t78 () (not @t77)) % 0.38/0.57 (define @t79 () (not @t74)) % 0.38/0.57 (define @t80 () (not @t7)) % 0.38/0.57 (define @t81 () (or @t80 @t79 @t78 @t76)) % 0.38/0.57 (define @t82 () (not @t33)) % 0.38/0.57 (define @t83 () (tptp.p2 @t32 tptp.c19)) % 0.38/0.57 (define @t84 () (or @t77 @t83 @t82)) % 0.38/0.57 (define @t85 () (tptp.p2 @t32 @t32)) % 0.38/0.57 (define @t86 () (not @t85)) % 0.38/0.57 (define @t87 () (not @t83)) % 0.38/0.57 (define @t88 () (or @t34 @t87 @t86)) % 0.38/0.57 (assume @p1 @t2) % 0.38/0.57 (assume @p2 (forall (@list @t3) (tptp.p7 @t3 @t3))) % 0.38/0.57 (assume @p3 (not (tptp.p2 tptp.c16 @t4))) % 0.38/0.57 (assume @p4 @t7) % 0.38/0.57 (assume @p5 (forall @t13 (or @t12 @t11))) % 0.38/0.57 (assume @p6 (forall @t13 (or @t11 (not @t14)))) % 0.38/0.57 (assume @p7 @t16) % 0.38/0.57 (assume @p8 (forall (@list @t18 @t17) (or (tptp.p7 (tptp.f12 @t18) (tptp.f12 @t17)) (not (tptp.p7 @t18 @t17))))) % 0.38/0.57 (assume @p9 (forall (@list @t20 @t19) (or (tptp.p2 (tptp.f3 @t20) (tptp.f3 @t19)) (not (tptp.p2 @t20 @t19))))) % 0.38/0.57 (assume @p10 (forall (@list @t22 @t21) (or (tptp.p2 (tptp.f4 @t22) (tptp.f4 @t21)) (not (tptp.p2 @t22 @t21))))) % 0.38/0.57 (assume @p11 (forall (@list @t24 @t23) (or (tptp.p2 (tptp.f5 @t24) (tptp.f5 @t23)) (not (tptp.p2 @t24 @t23))))) % 0.38/0.57 (assume @p12 (forall (@list @t26 @t25) (or (tptp.p7 (tptp.f11 @t26) (tptp.f11 @t25)) (not (tptp.p2 @t26 @t25))))) % 0.38/0.57 (assume @p13 (forall @t13 (or @t10 @t14 (not @t12)))) % 0.38/0.57 (assume @p14 (forall (@list @t28 @t27 @t3) (or (tptp.p7 @t28 @t27) (not (tptp.p7 @t3 @t28)) (not (tptp.p7 @t3 @t27))))) % 0.38/0.57 (assume @p15 (forall (@list @t30 @t29 @t1) (or (tptp.p2 @t30 @t29) (not (tptp.p2 @t1 @t30)) (not (tptp.p2 @t1 @t29))))) % 0.38/0.57 (assume @p16 @t33) % 0.38/0.57 (assume @p17 (not @t34)) % 0.38/0.57 (assume @p18 (forall (@list @t38 @t37 @t36 @t35) (or (tptp.p14 @t38 @t37) (not (tptp.p2 @t36 @t38)) (not (tptp.p2 @t35 @t37)) (not (tptp.p14 @t36 @t35))))) % 0.38/0.57 (assume @p19 (forall (@list @t42 @t41 @t40 @t39) (or (tptp.p15 @t42 @t41) (not (tptp.p2 @t40 @t42)) (not (tptp.p2 @t39 @t41)) (not (tptp.p15 @t40 @t39))))) % 0.38/0.57 (assume @p20 (forall (@list @t46 @t44 @t45 @t43) (or (tptp.p2 (tptp.f13 @t46 @t44) (tptp.f13 @t45 @t43)) (not (tptp.p2 @t46 @t45)) (not (tptp.p2 @t44 @t43))))) % 0.38/0.57 (assume @p21 (forall (@list @t50 @t48 @t49 @t47) (or (tptp.p7 (tptp.f9 @t50 @t48) (tptp.f9 @t49 @t47)) (not (tptp.p7 @t50 @t49)) (not (tptp.p7 @t48 @t47))))) % 0.38/0.57 (assume @p22 (forall (@list @t54 @t52 @t53 @t51) (or (tptp.p7 (tptp.f8 @t54 @t52) (tptp.f8 @t53 @t51)) (not (tptp.p7 @t54 @t53)) (not (tptp.p7 @t52 @t51))))) % 0.38/0.57 (assume @p23 (forall (@list @t56 @t58 @t55 @t57) (or (tptp.p7 (tptp.f10 @t56 @t58) (tptp.f10 @t55 @t57)) (not (tptp.p2 @t58 @t57)) (not (tptp.p7 @t56 @t55))))) % 0.38/0.57 (assume @p24 (forall (@list @t62 @t60 @t61 @t59) (or (tptp.p2 (tptp.f6 @t62 @t60) (tptp.f6 @t61 @t59)) (not (tptp.p2 @t62 @t61)) (not (tptp.p2 @t60 @t59))))) % 0.38/0.57 (assume @p25 @t66) % 0.38/0.57 (assume @p26 (forall (@list @t68 @t69 @t67) (or (not (tptp.p2 @t68 @t4)) @t72 @t71 @t70))) % 0.38/0.57 (assume @p27 (forall (@list @t69 @t67 @t68) (or @t72 @t71 (not (tptp.p14 @t32 @t67)) @t70))) % 0.38/0.57 (step @p28 :rule instantiate :premises (@p15) :args ((@list tptp.c19 @t32 @t32))) % 0.38/0.57 (step @p29 :rule instantiate :premises (@p13) :args ((@list @t32 tptp.c19))) % 0.38/0.57 (step @p30 :rule instantiate :premises (@p27) :args ((@list tptp.c18 tptp.c19 tptp.c21))) % 0.38/0.57 (step @p31 :rule instantiate :premises (@p5) :args ((@list tptp.c19 @t15))) % 0.38/0.57 (step @p32 :rule cnf_or_pos :args (@t75)) % 0.38/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t73 @t74 (not @t75)))) % 0.38/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p7 @p31) :args (@t74 (@list false false) (@list @t16 @t75))) % 0.38/0.57 (step @p35 :rule cnf_or_pos :args (@t81)) % 0.38/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t80 @t76 @t79 @t78 (not @t81)))) % 0.38/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p4 @p25 @p34 @p30) :args (@t78 (@list false false false false) (@list @t7 @t66 @t74 @t81))) % 0.38/0.57 (step @p38 :rule cnf_or_pos :args (@t84)) % 0.38/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t82 @t77 @t83 (not @t84)))) % 0.38/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p16 @p37 @p29) :args (@t83 (@list false true false) (@list @t33 @t77 @t84))) % 0.38/0.57 (step @p41 :rule cnf_or_pos :args (@t88)) % 0.38/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t34 @t87 @t86 (not @t88)))) % 0.38/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p17 @p40 @p28) :args (@t86 (@list true false false) (@list @t34 @t83 @t88))) % 0.38/0.57 (assume-push @p50 @t2) % 0.38/0.57 (step @p45 :rule instantiate :premises (@p1) :args ((@list @t32))) % 0.38/0.57 (step-pop @p51 :rule scope :premises (@p45)) % 0.38/0.57 (step @p46 :rule process_scope :premises (@p51) :args (@t85)) % 0.38/0.57 (step @p48 :rule implies_elim :premises (@p46)) % 0.38/0.57 (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p1) :args (false (@list true false) (@list @t85 @t2))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------