%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN606-1 : 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 : n021.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 09:09:29 AM UTC 2026 % Result : Unsatisfiable 0.63s 0.83s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN606-1 : TPTP v9.2.1. Released v2.5.0. % 0.14/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n021.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:34:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.83 % SZS status Unsatisfiable % 0.63/0.83 % SZS output start Proof % 0.63/0.83 ( % 0.63/0.83 (declare-sort $$unsorted 0) % 0.63/0.83 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.p18 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.f8 (-> $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.c21 $$unsorted) % 0.63/0.83 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.p17 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.p16 (-> $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.f6 (-> $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.f9 (-> $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.c20 $$unsorted) % 0.63/0.83 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.c19 $$unsorted) % 0.63/0.83 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.c22 $$unsorted) % 0.63/0.83 (declare-const tptp.f15 (-> $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.63/0.83 (define @t1 () (@var "X11" $$unsorted)) % 0.63/0.83 (define @t2 () (@var "X43" $$unsorted)) % 0.63/0.83 (define @t3 () (@var "X18" $$unsorted)) % 0.63/0.83 (define @t4 () (tptp.f7 tptp.c20)) % 0.63/0.83 (define @t5 () (tptp.f15 tptp.c22)) % 0.63/0.83 (define @t6 () (tptp.f12 @t5 tptp.c21)) % 0.63/0.83 (define @t7 () (tptp.p3 @t6 tptp.c22)) % 0.63/0.83 (define @t8 () (tptp.p3 tptp.c19 (tptp.f4 (tptp.f6 @t4)))) % 0.63/0.83 (define @t9 () (@var "X0" $$unsorted)) % 0.63/0.83 (define @t10 () (@var "X1" $$unsorted)) % 0.63/0.83 (define @t11 () (@var "X49" $$unsorted)) % 0.63/0.83 (define @t12 () (@var "X48" $$unsorted)) % 0.63/0.83 (define @t13 () (@var "X15" $$unsorted)) % 0.63/0.83 (define @t14 () (@var "X14" $$unsorted)) % 0.63/0.83 (define @t15 () (@var "X17" $$unsorted)) % 0.63/0.83 (define @t16 () (@var "X16" $$unsorted)) % 0.63/0.83 (define @t17 () (forall (@list @t16 @t15) (or (tptp.p2 (tptp.f9 @t16) (tptp.f9 @t15)) (not (tptp.p3 @t16 @t15))))) % 0.63/0.83 (define @t18 () (@var "X34" $$unsorted)) % 0.63/0.83 (define @t19 () (@var "X33" $$unsorted)) % 0.63/0.83 (define @t20 () (@var "X40" $$unsorted)) % 0.63/0.83 (define @t21 () (@var "X39" $$unsorted)) % 0.63/0.83 (define @t22 () (@var "X42" $$unsorted)) % 0.63/0.83 (define @t23 () (@var "X41" $$unsorted)) % 0.63/0.83 (define @t24 () (@var "X47" $$unsorted)) % 0.63/0.83 (define @t25 () (@var "X46" $$unsorted)) % 0.63/0.83 (define @t26 () (@var "X13" $$unsorted)) % 0.63/0.83 (define @t27 () (@var "X12" $$unsorted)) % 0.63/0.83 (define @t28 () (@var "X45" $$unsorted)) % 0.63/0.83 (define @t29 () (@var "X44" $$unsorted)) % 0.63/0.83 (define @t30 () (@var "X20" $$unsorted)) % 0.63/0.83 (define @t31 () (@var "X19" $$unsorted)) % 0.63/0.83 (define @t32 () (@var "X5" $$unsorted)) % 0.63/0.83 (define @t33 () (@var "X4" $$unsorted)) % 0.63/0.83 (define @t34 () (@var "X3" $$unsorted)) % 0.63/0.83 (define @t35 () (@var "X2" $$unsorted)) % 0.63/0.83 (define @t36 () (@var "X10" $$unsorted)) % 0.63/0.83 (define @t37 () (@var "X9" $$unsorted)) % 0.63/0.83 (define @t38 () (@var "X8" $$unsorted)) % 0.63/0.83 (define @t39 () (@var "X7" $$unsorted)) % 0.63/0.83 (define @t40 () (tptp.f6 (tptp.f7 (tptp.f8 tptp.c20)))) % 0.63/0.83 (define @t41 () (tptp.f4 @t40)) % 0.63/0.83 (define @t42 () (tptp.f14 (tptp.f4 (tptp.f9 tptp.c19)) tptp.c19)) % 0.63/0.83 (define @t43 () (tptp.f10 @t42 tptp.c22)) % 0.63/0.83 (define @t44 () (tptp.f9 @t43)) % 0.63/0.83 (define @t45 () (tptp.p17 @t44 @t40)) % 0.63/0.83 (define @t46 () (@var "X38" $$unsorted)) % 0.63/0.83 (define @t47 () (@var "X36" $$unsorted)) % 0.63/0.83 (define @t48 () (@var "X37" $$unsorted)) % 0.63/0.83 (define @t49 () (@var "X35" $$unsorted)) % 0.63/0.83 (define @t50 () (@var "X24" $$unsorted)) % 0.63/0.83 (define @t51 () (@var "X22" $$unsorted)) % 0.63/0.83 (define @t52 () (@var "X23" $$unsorted)) % 0.63/0.83 (define @t53 () (@var "X21" $$unsorted)) % 0.63/0.83 (define @t54 () (@var "X28" $$unsorted)) % 0.63/0.83 (define @t55 () (@var "X26" $$unsorted)) % 0.63/0.83 (define @t56 () (@var "X27" $$unsorted)) % 0.63/0.83 (define @t57 () (@var "X25" $$unsorted)) % 0.63/0.83 (define @t58 () (@var "X32" $$unsorted)) % 0.63/0.83 (define @t59 () (@var "X30" $$unsorted)) % 0.63/0.83 (define @t60 () (@var "X31" $$unsorted)) % 0.63/0.83 (define @t61 () (@var "X29" $$unsorted)) % 0.63/0.83 (define @t62 () (tptp.f15 @t41)) % 0.63/0.83 (define @t63 () (@var "X50" $$unsorted)) % 0.63/0.83 (define @t64 () (@var "X6" $$unsorted)) % 0.63/0.83 (define @t65 () (tptp.f10 @t42 @t6)) % 0.63/0.83 (define @t66 () (not @t7)) % 0.63/0.83 (define @t67 () (tptp.p3 @t42 @t42)) % 0.63/0.83 (define @t68 () (not @t67)) % 0.63/0.83 (define @t69 () (tptp.p3 @t65 @t43)) % 0.63/0.83 (define @t70 () (or @t69 @t68 @t66)) % 0.63/0.83 (define @t71 () (@list false false false)) % 0.63/0.83 (define @t72 () (tptp.p3 @t65 @t65)) % 0.63/0.83 (define @t73 () (not @t72)) % 0.63/0.83 (define @t74 () (not @t69)) % 0.63/0.83 (define @t75 () (tptp.p3 @t43 @t65)) % 0.63/0.83 (define @t76 () (or @t75 @t74 @t73)) % 0.63/0.83 (define @t77 () (tptp.f9 @t65)) % 0.63/0.83 (define @t78 () (not @t45)) % 0.63/0.83 (define @t79 () (tptp.p2 @t40 @t40)) % 0.63/0.83 (define @t80 () (not @t79)) % 0.63/0.83 (define @t81 () (tptp.p2 @t44 @t77)) % 0.63/0.83 (define @t82 () (not @t81)) % 0.63/0.83 (define @t83 () (tptp.p17 @t77 @t40)) % 0.63/0.83 (define @t84 () (or @t83 @t82 @t80 @t78)) % 0.63/0.83 (define @t85 () (not @t75)) % 0.63/0.83 (define @t86 () (or @t81 @t85)) % 0.63/0.83 (define @t87 () (not @t86)) % 0.63/0.83 (define @t88 () (@list true false)) % 0.63/0.83 (assume @p1 (not (tptp.p16 tptp.c21))) % 0.63/0.83 (assume @p2 (forall (@list @t1) (tptp.p2 @t1 @t1))) % 0.63/0.83 (assume @p3 (forall (@list @t2) (tptp.p5 @t2 @t2))) % 0.63/0.83 (assume @p4 (forall (@list @t3) (tptp.p3 @t3 @t3))) % 0.63/0.83 (assume @p5 (not (tptp.p5 tptp.c21 @t4))) % 0.63/0.83 (assume @p6 (tptp.p3 (tptp.f12 tptp.c22 tptp.c21) @t5)) % 0.63/0.83 (assume @p7 @t7) % 0.63/0.83 (assume @p8 (not @t8)) % 0.63/0.83 (assume @p9 (forall (@list @t9 @t10) (or (tptp.p16 @t9) (not (tptp.p16 @t10)) (not (tptp.p5 @t10 @t9))))) % 0.63/0.83 (assume @p10 (forall (@list @t12 @t11) (or (tptp.p5 (tptp.f8 @t12) (tptp.f8 @t11)) (not (tptp.p5 @t12 @t11))))) % 0.63/0.83 (assume @p11 (forall (@list @t14 @t13) (or (tptp.p2 (tptp.f6 @t14) (tptp.f6 @t13)) (not (tptp.p5 @t14 @t13))))) % 0.63/0.83 (assume @p12 @t17) % 0.63/0.83 (assume @p13 (forall (@list @t19 @t18) (or (tptp.p3 (tptp.f13 @t19) (tptp.f13 @t18)) (not (tptp.p5 @t19 @t18))))) % 0.63/0.83 (assume @p14 (forall (@list @t21 @t20) (or (tptp.p3 (tptp.f15 @t21) (tptp.f15 @t20)) (not (tptp.p3 @t21 @t20))))) % 0.63/0.83 (assume @p15 (forall (@list @t23 @t22) (or (tptp.p3 (tptp.f4 @t23) (tptp.f4 @t22)) (not (tptp.p2 @t23 @t22))))) % 0.63/0.83 (assume @p16 (forall (@list @t25 @t24) (or (tptp.p5 (tptp.f7 @t25) (tptp.f7 @t24)) (not (tptp.p5 @t25 @t24))))) % 0.63/0.83 (assume @p17 (forall (@list @t27 @t26 @t1) (or (tptp.p2 @t27 @t26) (not (tptp.p2 @t1 @t27)) (not (tptp.p2 @t1 @t26))))) % 0.63/0.83 (assume @p18 (forall (@list @t29 @t28 @t2) (or (tptp.p5 @t29 @t28) (not (tptp.p5 @t2 @t29)) (not (tptp.p5 @t2 @t28))))) % 0.63/0.83 (assume @p19 (forall (@list @t31 @t30 @t3) (or (tptp.p3 @t31 @t30) (not (tptp.p3 @t3 @t31)) (not (tptp.p3 @t3 @t30))))) % 0.63/0.83 (assume @p20 (forall (@list @t35 @t34 @t33 @t32) (or (tptp.p17 @t35 @t34) (not (tptp.p2 @t33 @t35)) (not (tptp.p2 @t32 @t34)) (not (tptp.p17 @t33 @t32))))) % 0.63/0.83 (assume @p21 (forall (@list @t39 @t38 @t37 @t36) (or (tptp.p18 @t39 @t38) (not (tptp.p5 @t37 @t39)) (not (tptp.p5 @t36 @t38)) (not (tptp.p18 @t37 @t36))))) % 0.63/0.83 (assume @p22 (tptp.p3 (tptp.f12 @t41 tptp.c21) @t41)) % 0.63/0.83 (assume @p23 @t45) % 0.63/0.83 (assume @p24 (forall (@list @t49 @t47 @t48 @t46) (or (tptp.p3 (tptp.f14 @t49 @t47) (tptp.f14 @t48 @t46)) (not (tptp.p3 @t49 @t48)) (not (tptp.p3 @t47 @t46))))) % 0.63/0.83 (assume @p25 (forall (@list @t53 @t51 @t52 @t50) (or (tptp.p3 (tptp.f10 @t53 @t51) (tptp.f10 @t52 @t50)) (not (tptp.p3 @t53 @t52)) (not (tptp.p3 @t51 @t50))))) % 0.63/0.83 (assume @p26 (forall (@list @t57 @t55 @t56 @t54) (or (tptp.p3 (tptp.f11 @t57 @t55) (tptp.f11 @t56 @t54)) (not (tptp.p3 @t57 @t56)) (not (tptp.p3 @t55 @t54))))) % 0.63/0.83 (assume @p27 (forall (@list @t61 @t59 @t60 @t58) (or (tptp.p3 (tptp.f12 @t61 @t59) (tptp.f12 @t60 @t58)) (not (tptp.p3 @t61 @t60)) (not (tptp.p5 @t59 @t58))))) % 0.63/0.83 (assume @p28 (tptp.p3 (tptp.f12 @t62 tptp.c21) @t62)) % 0.63/0.83 (assume @p29 (forall (@list @t63) (not (tptp.p17 (tptp.f9 (tptp.f10 @t42 (tptp.f12 @t63 tptp.c21))) @t40)))) % 0.63/0.83 (assume @p30 (forall (@list @t64) (or (tptp.p5 @t64 @t4) @t8 (tptp.p17 (tptp.f9 (tptp.f10 @t41 (tptp.f11 tptp.c19 (tptp.f12 (tptp.f13 @t64) @t64)))) @t40) (not (tptp.p18 @t64 tptp.c21))))) % 0.63/0.83 (step @p31 :rule instantiate :premises (@p19) :args ((@list @t43 @t65 @t65))) % 0.63/0.83 (step @p32 :rule instantiate :premises (@p25) :args ((@list @t42 @t6 @t42 tptp.c22))) % 0.63/0.83 (step @p33 :rule instantiate :premises (@p4) :args ((@list @t42))) % 0.63/0.83 (step @p34 :rule cnf_or_pos :args (@t70)) % 0.63/0.83 (step @p35 :rule reordering :premises (@p34) :args ((or @t66 @t68 @t69 (not @t70)))) % 0.63/0.83 (step @p36 :rule chain_m_resolution :premises (@p35 @p7 @p33 @p32) :args (@t69 @t71 (@list @t7 @t67 @t70))) % 0.63/0.83 (step @p37 :rule instantiate :premises (@p4) :args ((@list @t65))) % 0.63/0.83 (step @p38 :rule cnf_or_pos :args (@t76)) % 0.63/0.83 (step @p39 :rule reordering :premises (@p38) :args ((or @t73 @t75 @t74 (not @t76)))) % 0.63/0.83 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36 @p31) :args (@t75 @t71 (@list @t72 @t69 @t76))) % 0.63/0.83 (step @p41 :rule instantiate :premises (@p20) :args ((@list @t77 @t40 @t44 @t40))) % 0.63/0.83 (step @p42 :rule instantiate :premises (@p2) :args ((@list @t40))) % 0.63/0.83 (step @p43 :rule instantiate :premises (@p29) :args ((@list @t5))) % 0.63/0.83 (step @p44 :rule cnf_or_pos :args (@t84)) % 0.63/0.83 (step @p45 :rule reordering :premises (@p44) :args ((or @t78 @t83 @t80 @t82 (not @t84)))) % 0.63/0.83 (step @p46 :rule chain_m_resolution :premises (@p45 @p23 @p43 @p42 @p41) :args (@t82 (@list false true false false) (@list @t45 @t83 @t79 @t84))) % 0.63/0.83 (step @p47 :rule cnf_or_pos :args (@t86)) % 0.63/0.83 (step @p48 :rule reordering :premises (@p47) :args ((or @t81 @t85 @t87))) % 0.63/0.83 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p40) :args (@t87 @t88 (@list @t81 @t75))) % 0.63/0.83 (assume-push @p56 @t17) % 0.63/0.83 (step @p51 :rule instantiate :premises (@p12) :args ((@list @t43 @t65))) % 0.63/0.83 (step-pop @p57 :rule scope :premises (@p51)) % 0.63/0.83 (step @p52 :rule process_scope :premises (@p57) :args (@t86)) % 0.63/0.83 (step @p54 :rule implies_elim :premises (@p52)) % 0.63/0.83 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p12) :args (false @t88 (@list @t86 @t17))) % 0.63/0.83 ) % 0.63/0.83 % SZS output end Proof % 0.63/0.83 % cvc5 exiting %------------------------------------------------------------------------------