%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN576-1 : 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 : n009.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 09:09:25 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN576-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n009.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 23:32:14 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.61 % SZS status Unsatisfiable % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.p8 (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.c14 $$unsorted) % 0.39/0.61 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.f6 (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.c13 $$unsorted) % 0.39/0.61 (declare-const tptp.c15 $$unsorted) % 0.39/0.61 (declare-const tptp.p12 (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.p11 (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.f3 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.c16 $$unsorted) % 0.39/0.61 (declare-const tptp.f10 (-> $$unsorted $$unsorted)) % 0.39/0.61 (define @t1 () (@var "X42" $$unsorted)) % 0.39/0.61 (define @t2 () (@var "X13" $$unsorted)) % 0.39/0.61 (define @t3 () (@var "X34" $$unsorted)) % 0.39/0.61 (define @t4 () (@var "X37" $$unsorted)) % 0.39/0.61 (define @t5 () (tptp.f6 tptp.c13)) % 0.39/0.61 (define @t6 () (tptp.p12 tptp.c15 @t5)) % 0.39/0.61 (define @t7 () (tptp.p12 tptp.c16 @t5)) % 0.39/0.61 (define @t8 () (@var "X4" $$unsorted)) % 0.39/0.61 (define @t9 () (@var "X5" $$unsorted)) % 0.39/0.61 (define @t10 () (@var "X22" $$unsorted)) % 0.39/0.61 (define @t11 () (@var "X23" $$unsorted)) % 0.39/0.61 (define @t12 () (@var "X41" $$unsorted)) % 0.39/0.61 (define @t13 () (@var "X40" $$unsorted)) % 0.39/0.61 (define @t14 () (@var "X17" $$unsorted)) % 0.39/0.61 (define @t15 () (@var "X16" $$unsorted)) % 0.39/0.61 (define @t16 () (@var "X44" $$unsorted)) % 0.39/0.61 (define @t17 () (@var "X43" $$unsorted)) % 0.39/0.61 (define @t18 () (@var "X15" $$unsorted)) % 0.39/0.61 (define @t19 () (@var "X14" $$unsorted)) % 0.39/0.61 (define @t20 () (@var "X36" $$unsorted)) % 0.39/0.61 (define @t21 () (@var "X35" $$unsorted)) % 0.39/0.61 (define @t22 () (@var "X39" $$unsorted)) % 0.39/0.61 (define @t23 () (@var "X38" $$unsorted)) % 0.39/0.61 (define @t24 () (@var "X3" $$unsorted)) % 0.39/0.61 (define @t25 () (@var "X2" $$unsorted)) % 0.39/0.61 (define @t26 () (@var "X1" $$unsorted)) % 0.39/0.61 (define @t27 () (@var "X0" $$unsorted)) % 0.39/0.61 (define @t28 () (@var "X9" $$unsorted)) % 0.39/0.61 (define @t29 () (@var "X8" $$unsorted)) % 0.39/0.61 (define @t30 () (@var "X7" $$unsorted)) % 0.39/0.61 (define @t31 () (@var "X6" $$unsorted)) % 0.39/0.61 (define @t32 () (forall (@list @t31 @t30 @t29 @t28) (or (tptp.p12 @t31 @t30) (not (tptp.p2 @t29 @t31)) (not (tptp.p5 @t28 @t30)) (not (tptp.p12 @t29 @t28))))) % 0.39/0.61 (define @t33 () (tptp.f3 tptp.c15 tptp.c16)) % 0.39/0.61 (define @t34 () (tptp.f9 tptp.c13 tptp.c14 @t33)) % 0.39/0.61 (define @t35 () (tptp.f7 @t34 @t33)) % 0.39/0.61 (define @t36 () (tptp.p12 @t35 @t5)) % 0.39/0.61 (define @t37 () (@var "X21" $$unsorted)) % 0.39/0.61 (define @t38 () (@var "X19" $$unsorted)) % 0.39/0.61 (define @t39 () (@var "X20" $$unsorted)) % 0.39/0.61 (define @t40 () (@var "X18" $$unsorted)) % 0.39/0.61 (define @t41 () (@var "X27" $$unsorted)) % 0.39/0.61 (define @t42 () (@var "X25" $$unsorted)) % 0.39/0.61 (define @t43 () (@var "X26" $$unsorted)) % 0.39/0.61 (define @t44 () (@var "X24" $$unsorted)) % 0.39/0.61 (define @t45 () (@var "X33" $$unsorted)) % 0.39/0.61 (define @t46 () (@var "X30" $$unsorted)) % 0.39/0.61 (define @t47 () (@var "X32" $$unsorted)) % 0.39/0.61 (define @t48 () (@var "X29" $$unsorted)) % 0.39/0.61 (define @t49 () (@var "X31" $$unsorted)) % 0.39/0.61 (define @t50 () (@var "X28" $$unsorted)) % 0.39/0.61 (define @t51 () (@var "X12" $$unsorted)) % 0.39/0.61 (define @t52 () (@var "X11" $$unsorted)) % 0.39/0.61 (define @t53 () (not (tptp.p11 (tptp.f10 @t52) (tptp.f10 @t51)))) % 0.39/0.61 (define @t54 () (@var "X10" $$unsorted)) % 0.39/0.61 (define @t55 () (tptp.f6 @t54)) % 0.39/0.61 (define @t56 () (not (tptp.p12 @t52 @t55))) % 0.39/0.61 (define @t57 () (not (tptp.p12 @t51 @t55))) % 0.39/0.61 (define @t58 () (tptp.f3 @t52 @t51)) % 0.39/0.61 (define @t59 () (tptp.f9 @t54 tptp.c14 @t58)) % 0.39/0.61 (define @t60 () (@list @t54 @t52 @t51)) % 0.39/0.61 (define @t61 () (tptp.f3 tptp.c16 tptp.c15)) % 0.39/0.61 (define @t62 () (tptp.f9 tptp.c13 tptp.c14 @t61)) % 0.39/0.61 (define @t63 () (tptp.p2 @t61 @t33)) % 0.39/0.61 (define @t64 () (not @t63)) % 0.39/0.61 (define @t65 () (tptp.p8 tptp.c14 tptp.c14)) % 0.39/0.61 (define @t66 () (not @t65)) % 0.39/0.61 (define @t67 () (tptp.p4 tptp.c13 tptp.c13)) % 0.39/0.61 (define @t68 () (not @t67)) % 0.39/0.61 (define @t69 () (tptp.p2 @t62 @t34)) % 0.39/0.61 (define @t70 () (or @t69 @t68 @t66 @t64)) % 0.39/0.61 (define @t71 () (@list false false false false)) % 0.39/0.61 (define @t72 () (not @t69)) % 0.39/0.61 (define @t73 () (tptp.f7 @t62 @t61)) % 0.39/0.61 (define @t74 () (tptp.p2 @t73 @t35)) % 0.39/0.61 (define @t75 () (or @t74 @t72 @t64)) % 0.39/0.61 (define @t76 () (tptp.f10 tptp.c16)) % 0.39/0.61 (define @t77 () (tptp.f10 tptp.c15)) % 0.39/0.61 (define @t78 () (tptp.p11 @t77 @t76)) % 0.39/0.61 (define @t79 () (not @t78)) % 0.39/0.62 (define @t80 () (not @t6)) % 0.39/0.62 (define @t81 () (not @t7)) % 0.39/0.62 (define @t82 () (or @t36 @t81 @t80 @t79)) % 0.39/0.62 (define @t83 () (@list true false false false)) % 0.39/0.62 (define @t84 () (tptp.p11 @t76 @t77)) % 0.39/0.62 (define @t85 () (or @t78 @t84)) % 0.39/0.62 (define @t86 () (@list true false)) % 0.39/0.62 (define @t87 () (not @t84)) % 0.39/0.62 (define @t88 () (tptp.p12 @t73 @t5)) % 0.39/0.62 (define @t89 () (or @t88 @t80 @t81 @t87)) % 0.39/0.62 (define @t90 () (not @t88)) % 0.39/0.62 (define @t91 () (tptp.p5 @t5 @t5)) % 0.39/0.62 (define @t92 () (not @t91)) % 0.39/0.62 (define @t93 () (not @t74)) % 0.39/0.62 (define @t94 () (or @t36 @t93 @t92 @t90)) % 0.39/0.62 (define @t95 () (not @t94)) % 0.39/0.62 (assume @p1 (forall (@list @t1) (tptp.p8 @t1 @t1))) % 0.39/0.62 (assume @p2 (forall (@list @t2) (tptp.p2 @t2 @t2))) % 0.39/0.62 (assume @p3 (forall (@list @t3) (tptp.p4 @t3 @t3))) % 0.39/0.62 (assume @p4 (forall (@list @t4) (tptp.p5 @t4 @t4))) % 0.39/0.62 (assume @p5 @t6) % 0.39/0.62 (assume @p6 @t7) % 0.39/0.62 (assume @p7 (forall (@list @t8 @t9) (or (tptp.p11 @t8 @t9) (tptp.p11 @t9 @t8)))) % 0.39/0.62 (assume @p8 (forall (@list @t10 @t11) (tptp.p2 (tptp.f3 @t10 @t11) (tptp.f3 @t11 @t10)))) % 0.39/0.62 (assume @p9 (forall (@list @t13 @t12) (or (tptp.p5 (tptp.f6 @t13) (tptp.f6 @t12)) (not (tptp.p4 @t13 @t12))))) % 0.39/0.62 (assume @p10 (forall (@list @t15 @t14) (or (tptp.p2 (tptp.f10 @t15) (tptp.f10 @t14)) (not (tptp.p2 @t15 @t14))))) % 0.39/0.62 (assume @p11 (forall (@list @t17 @t16 @t1) (or (tptp.p8 @t17 @t16) (not (tptp.p8 @t1 @t17)) (not (tptp.p8 @t1 @t16))))) % 0.39/0.62 (assume @p12 (forall (@list @t19 @t18 @t2) (or (tptp.p2 @t19 @t18) (not (tptp.p2 @t2 @t19)) (not (tptp.p2 @t2 @t18))))) % 0.39/0.62 (assume @p13 (forall (@list @t21 @t20 @t3) (or (tptp.p4 @t21 @t20) (not (tptp.p4 @t3 @t21)) (not (tptp.p4 @t3 @t20))))) % 0.39/0.62 (assume @p14 (forall (@list @t23 @t22 @t4) (or (tptp.p5 @t23 @t22) (not (tptp.p5 @t4 @t23)) (not (tptp.p5 @t4 @t22))))) % 0.39/0.62 (assume @p15 (forall (@list @t27 @t26 @t25 @t24) (or (tptp.p11 @t27 @t26) (not (tptp.p2 @t25 @t27)) (not (tptp.p2 @t24 @t26)) (not (tptp.p11 @t25 @t24))))) % 0.39/0.62 (assume @p16 @t32) % 0.39/0.62 (assume @p17 (not @t36)) % 0.39/0.62 (assume @p18 (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))))) % 0.39/0.62 (assume @p19 (forall (@list @t44 @t42 @t43 @t41) (or (tptp.p2 (tptp.f7 @t44 @t42) (tptp.f7 @t43 @t41)) (not (tptp.p2 @t44 @t43)) (not (tptp.p2 @t42 @t41))))) % 0.39/0.62 (assume @p20 (forall (@list @t50 @t48 @t46 @t49 @t47 @t45) (or (tptp.p2 (tptp.f9 @t50 @t48 @t46) (tptp.f9 @t49 @t47 @t45)) (not (tptp.p4 @t50 @t49)) (not (tptp.p8 @t48 @t47)) (not (tptp.p2 @t46 @t45))))) % 0.39/0.62 (assume @p21 (forall @t60 (or (tptp.p12 (tptp.f7 @t59 @t51) @t55) @t57 @t56 @t53))) % 0.39/0.62 (assume @p22 (forall @t60 (or (tptp.p12 (tptp.f7 @t59 @t58) @t55) @t57 @t56 @t53))) % 0.39/0.62 (step @p23 :rule instantiate :premises (@p19) :args ((@list @t62 @t61 @t34 @t33))) % 0.39/0.62 (step @p24 :rule instantiate :premises (@p20) :args ((@list tptp.c13 tptp.c14 @t61 tptp.c13 tptp.c14 @t33))) % 0.39/0.62 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.c14))) % 0.39/0.62 (step @p26 :rule instantiate :premises (@p3) :args ((@list tptp.c13))) % 0.39/0.62 (step @p27 :rule instantiate :premises (@p8) :args ((@list tptp.c16 tptp.c15))) % 0.39/0.62 (step @p28 :rule cnf_or_pos :args (@t70)) % 0.39/0.62 (step @p29 :rule reordering :premises (@p28) :args ((or @t64 @t68 @t66 @t69 (not @t70)))) % 0.39/0.62 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26 @p25 @p24) :args (@t69 @t71 (@list @t63 @t67 @t65 @t70))) % 0.39/0.62 (step @p31 :rule cnf_or_pos :args (@t75)) % 0.39/0.62 (step @p32 :rule reordering :premises (@p31) :args ((or @t64 @t74 @t72 (not @t75)))) % 0.39/0.62 (step @p33 :rule chain_m_resolution :premises (@p32 @p27 @p30 @p23) :args (@t74 (@list false false false) (@list @t63 @t69 @t75))) % 0.39/0.62 (step @p34 :rule instantiate :premises (@p22) :args ((@list tptp.c13 tptp.c16 tptp.c15))) % 0.39/0.62 (step @p35 :rule instantiate :premises (@p7) :args ((@list @t77 @t76))) % 0.39/0.62 (step @p36 :rule instantiate :premises (@p22) :args ((@list tptp.c13 tptp.c15 tptp.c16))) % 0.39/0.62 (step @p37 :rule cnf_or_pos :args (@t82)) % 0.39/0.62 (step @p38 :rule reordering :premises (@p37) :args ((or @t36 @t80 @t81 @t79 (not @t82)))) % 0.39/0.62 (step @p39 :rule chain_m_resolution :premises (@p38 @p17 @p5 @p6 @p36) :args (@t79 @t83 (@list @t36 @t6 @t7 @t82))) % 0.39/0.62 (step @p40 :rule cnf_or_pos :args (@t85)) % 0.39/0.62 (step @p41 :rule reordering :premises (@p40) :args ((or @t78 @t84 (not @t85)))) % 0.39/0.62 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p35) :args (@t84 @t86 (@list @t78 @t85))) % 0.39/0.62 (step @p43 :rule cnf_or_pos :args (@t89)) % 0.39/0.62 (step @p44 :rule reordering :premises (@p43) :args ((or @t80 @t81 @t87 @t88 (not @t89)))) % 0.39/0.62 (step @p45 :rule chain_m_resolution :premises (@p44 @p5 @p6 @p42 @p34) :args (@t88 @t71 (@list @t6 @t7 @t84 @t89))) % 0.39/0.62 (step @p46 :rule instantiate :premises (@p4) :args ((@list @t5))) % 0.39/0.62 (step @p47 :rule cnf_or_pos :args (@t94)) % 0.39/0.62 (step @p48 :rule reordering :premises (@p47) :args ((or @t36 @t92 @t90 @t93 @t95))) % 0.39/0.62 (step @p49 :rule chain_m_resolution :premises (@p48 @p17 @p46 @p45 @p33) :args (@t95 @t83 (@list @t36 @t91 @t88 @t74))) % 0.39/0.62 (assume-push @p56 @t32) % 0.39/0.62 (step @p51 :rule instantiate :premises (@p16) :args ((@list @t35 @t5 @t73 @t5))) % 0.39/0.62 (step-pop @p57 :rule scope :premises (@p51)) % 0.39/0.62 (step @p52 :rule process_scope :premises (@p57) :args (@t94)) % 0.39/0.62 (step @p54 :rule implies_elim :premises (@p52)) % 0.39/0.62 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p16) :args (false @t86 (@list @t94 @t32))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------