%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN616-1 : 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 : n025.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 09:09:30 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN616-1 : TPTP v9.2.1. Released v2.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:33:01 EDT 2026 % 0.17/0.35 % 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... % 0.40/0.59 % SZS status Unsatisfiable % 0.40/0.59 % SZS output start Proof % 0.40/0.60 ( % 0.40/0.60 (declare-sort $$unsorted 0) % 0.40/0.60 (declare-const tptp.p14 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.p16 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.c24 $$unsorted) % 0.40/0.60 (declare-const tptp.p13 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.c22 $$unsorted) % 0.40/0.60 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.c28 $$unsorted) % 0.40/0.60 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.p17 (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.c23 $$unsorted) % 0.40/0.60 (declare-const tptp.p18 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.f6 (-> $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.c27 $$unsorted) % 0.40/0.60 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.p9 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.c21 $$unsorted) % 0.40/0.60 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.c26 $$unsorted) % 0.40/0.60 (declare-const tptp.p19 (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.c25 $$unsorted) % 0.40/0.60 (declare-const tptp.c20 $$unsorted) % 0.40/0.60 (define @t1 () (@var "X0" $$unsorted)) % 0.40/0.60 (define @t2 () (@var "X60" $$unsorted)) % 0.40/0.60 (define @t3 () (@var "X31" $$unsorted)) % 0.40/0.60 (define @t4 () (@var "X24" $$unsorted)) % 0.40/0.60 (define @t5 () (tptp.p2 tptp.c25 tptp.c28)) % 0.40/0.60 (define @t6 () (tptp.f5 tptp.c20)) % 0.40/0.60 (define @t7 () (@var "X22" $$unsorted)) % 0.40/0.60 (define @t8 () (@var "X23" $$unsorted)) % 0.40/0.60 (define @t9 () (@var "X51" $$unsorted)) % 0.40/0.60 (define @t10 () (@var "X50" $$unsorted)) % 0.40/0.60 (define @t11 () (@var "X45" $$unsorted)) % 0.40/0.60 (define @t12 () (@var "X44" $$unsorted)) % 0.40/0.60 (define @t13 () (@var "X47" $$unsorted)) % 0.40/0.60 (define @t14 () (@var "X46" $$unsorted)) % 0.40/0.60 (define @t15 () (@var "X49" $$unsorted)) % 0.40/0.60 (define @t16 () (@var "X48" $$unsorted)) % 0.40/0.60 (define @t17 () (@var "X2" $$unsorted)) % 0.40/0.60 (define @t18 () (@var "X1" $$unsorted)) % 0.40/0.60 (define @t19 () (@var "X62" $$unsorted)) % 0.40/0.60 (define @t20 () (@var "X61" $$unsorted)) % 0.40/0.60 (define @t21 () (@var "X33" $$unsorted)) % 0.40/0.60 (define @t22 () (@var "X32" $$unsorted)) % 0.40/0.60 (define @t23 () (@var "X26" $$unsorted)) % 0.40/0.60 (define @t24 () (@var "X25" $$unsorted)) % 0.40/0.60 (define @t25 () (tptp.f3 @t6)) % 0.40/0.60 (define @t26 () (tptp.f8 tptp.c21 @t25)) % 0.40/0.60 (define @t27 () (@var "X17" $$unsorted)) % 0.40/0.60 (define @t28 () (@var "X6" $$unsorted)) % 0.40/0.60 (define @t29 () (@var "X5" $$unsorted)) % 0.40/0.60 (define @t30 () (@var "X4" $$unsorted)) % 0.40/0.60 (define @t31 () (@var "X3" $$unsorted)) % 0.40/0.60 (define @t32 () (@var "X28" $$unsorted)) % 0.40/0.60 (define @t33 () (@var "X29" $$unsorted)) % 0.40/0.60 (define @t34 () (@var "X30" $$unsorted)) % 0.40/0.60 (define @t35 () (@var "X27" $$unsorted)) % 0.40/0.60 (define @t36 () (@var "X21" $$unsorted)) % 0.40/0.60 (define @t37 () (@var "X20" $$unsorted)) % 0.40/0.60 (define @t38 () (@var "X19" $$unsorted)) % 0.40/0.60 (define @t39 () (@var "X18" $$unsorted)) % 0.40/0.60 (define @t40 () (@var "X14" $$unsorted)) % 0.40/0.60 (define @t41 () (@var "X15" $$unsorted)) % 0.40/0.60 (define @t42 () (@var "X13" $$unsorted)) % 0.40/0.60 (define @t43 () (@var "X16" $$unsorted)) % 0.40/0.60 (define @t44 () (tptp.f6 tptp.c21)) % 0.40/0.60 (define @t45 () (@var "X59" $$unsorted)) % 0.40/0.60 (define @t46 () (@var "X57" $$unsorted)) % 0.40/0.60 (define @t47 () (@var "X58" $$unsorted)) % 0.40/0.60 (define @t48 () (@var "X56" $$unsorted)) % 0.40/0.60 (define @t49 () (@var "X43" $$unsorted)) % 0.40/0.60 (define @t50 () (@var "X41" $$unsorted)) % 0.40/0.60 (define @t51 () (@var "X42" $$unsorted)) % 0.40/0.60 (define @t52 () (@var "X40" $$unsorted)) % 0.40/0.60 (define @t53 () (@var "X54" $$unsorted)) % 0.40/0.60 (define @t54 () (@var "X52" $$unsorted)) % 0.40/0.60 (define @t55 () (@var "X55" $$unsorted)) % 0.40/0.60 (define @t56 () (@var "X53" $$unsorted)) % 0.40/0.60 (define @t57 () (forall (@list @t54 @t56 @t53 @t55) (or (tptp.p2 (tptp.f7 @t54 @t56) (tptp.f7 @t53 @t55)) (not (tptp.p2 @t56 @t55)) (not (tptp.p2 @t54 @t53))))) % 0.40/0.60 (define @t58 () (tptp.f12 @t26 tptp.c25)) % 0.40/0.60 (define @t59 () (tptp.f7 tptp.c22 @t58)) % 0.40/0.60 (define @t60 () (tptp.p14 @t59 @t25 @t44)) % 0.40/0.60 (define @t61 () (tptp.f12 @t26 tptp.c28)) % 0.40/0.60 (define @t62 () (tptp.f7 tptp.c22 @t61)) % 0.40/0.60 (define @t63 () (tptp.p14 @t62 @t25 @t44)) % 0.40/0.60 (define @t64 () (@var "X12" $$unsorted)) % 0.40/0.60 (define @t65 () (@var "X11" $$unsorted)) % 0.40/0.60 (define @t66 () (@var "X10" $$unsorted)) % 0.40/0.60 (define @t67 () (@var "X7" $$unsorted)) % 0.40/0.60 (define @t68 () (@var "X8" $$unsorted)) % 0.40/0.60 (define @t69 () (@var "X9" $$unsorted)) % 0.40/0.60 (define @t70 () (@var "X38" $$unsorted)) % 0.40/0.60 (define @t71 () (@var "X35" $$unsorted)) % 0.40/0.60 (define @t72 () (@var "X37" $$unsorted)) % 0.40/0.60 (define @t73 () (@var "X34" $$unsorted)) % 0.40/0.60 (define @t74 () (@var "X39" $$unsorted)) % 0.40/0.60 (define @t75 () (@var "X36" $$unsorted)) % 0.40/0.60 (define @t76 () (not @t5)) % 0.40/0.60 (define @t77 () (tptp.p2 @t26 @t26)) % 0.40/0.60 (define @t78 () (not @t77)) % 0.40/0.60 (define @t79 () (tptp.p2 @t58 @t61)) % 0.40/0.60 (define @t80 () (or @t79 @t78 @t76)) % 0.40/0.60 (define @t81 () (not @t60)) % 0.40/0.60 (define @t82 () (tptp.p2 @t59 @t62)) % 0.40/0.60 (define @t83 () (not @t82)) % 0.40/0.60 (define @t84 () (tptp.p2 @t25 @t25)) % 0.40/0.60 (define @t85 () (not @t84)) % 0.40/0.60 (define @t86 () (tptp.p2 @t44 @t44)) % 0.40/0.60 (define @t87 () (not @t86)) % 0.40/0.60 (define @t88 () (or @t63 @t87 @t85 @t83 @t81)) % 0.40/0.60 (define @t89 () (tptp.p2 tptp.c22 tptp.c22)) % 0.40/0.60 (define @t90 () (not @t89)) % 0.40/0.60 (define @t91 () (not @t79)) % 0.40/0.60 (define @t92 () (or @t82 @t91 @t90)) % 0.40/0.60 (define @t93 () (not @t92)) % 0.40/0.60 (assume @p1 (tptp.p17 tptp.c28)) % 0.40/0.60 (assume @p2 (forall (@list @t1) (tptp.p10 @t1 @t1))) % 0.40/0.60 (assume @p3 (forall (@list @t2) (tptp.p9 @t2 @t2))) % 0.40/0.60 (assume @p4 (forall (@list @t3) (tptp.p2 @t3 @t3))) % 0.40/0.60 (assume @p5 (forall (@list @t4) (tptp.p18 @t4 @t4))) % 0.40/0.60 (assume @p6 (tptp.p19 tptp.c26 tptp.c27)) % 0.40/0.60 (assume @p7 @t5) % 0.40/0.60 (assume @p8 (not (tptp.p15 tptp.c25 tptp.c27))) % 0.40/0.60 (assume @p9 (tptp.p13 (tptp.f3 (tptp.f4 @t6)) tptp.c21)) % 0.40/0.60 (assume @p10 (forall (@list @t7 @t8) (or (tptp.p17 @t7) (not (tptp.p17 @t8)) (not (tptp.p2 @t8 @t7))))) % 0.40/0.60 (assume @p11 (forall (@list @t10 @t9) (or (tptp.p2 (tptp.f6 @t10) (tptp.f6 @t9)) (not (tptp.p2 @t10 @t9))))) % 0.40/0.60 (assume @p12 (forall (@list @t12 @t11) (or (tptp.p2 (tptp.f3 @t12) (tptp.f3 @t11)) (not (tptp.p2 @t12 @t11))))) % 0.40/0.60 (assume @p13 (forall (@list @t14 @t13) (or (tptp.p2 (tptp.f4 @t14) (tptp.f4 @t13)) (not (tptp.p2 @t14 @t13))))) % 0.40/0.60 (assume @p14 (forall (@list @t16 @t15) (or (tptp.p2 (tptp.f5 @t16) (tptp.f5 @t15)) (not (tptp.p2 @t16 @t15))))) % 0.40/0.60 (assume @p15 (forall (@list @t18 @t17 @t1) (or (tptp.p10 @t18 @t17) (not (tptp.p10 @t1 @t18)) (not (tptp.p10 @t1 @t17))))) % 0.40/0.60 (assume @p16 (forall (@list @t20 @t19 @t2) (or (tptp.p9 @t20 @t19) (not (tptp.p9 @t2 @t20)) (not (tptp.p9 @t2 @t19))))) % 0.40/0.60 (assume @p17 (forall (@list @t22 @t21 @t3) (or (tptp.p2 @t22 @t21) (not (tptp.p2 @t3 @t22)) (not (tptp.p2 @t3 @t21))))) % 0.40/0.60 (assume @p18 (forall (@list @t24 @t23 @t4) (or (tptp.p18 @t24 @t23) (not (tptp.p18 @t4 @t24)) (not (tptp.p18 @t4 @t23))))) % 0.40/0.60 (assume @p19 (tptp.p2 (tptp.f11 tptp.c23 tptp.c24 @t25) @t26)) % 0.40/0.60 (assume @p20 (forall (@list @t27) (or (tptp.p15 @t27 tptp.c24) (not (tptp.p17 @t27)) (not (tptp.p16 @t27 @t26))))) % 0.40/0.60 (assume @p21 (forall (@list @t31 @t30 @t29 @t28) (or (tptp.p13 @t31 @t30) (not (tptp.p2 @t29 @t31)) (not (tptp.p2 @t28 @t30)) (not (tptp.p13 @t29 @t28))))) % 0.40/0.60 (assume @p22 (forall (@list @t35 @t32 @t34 @t33) (or (tptp.p19 @t35 @t32) (not (tptp.p18 @t34 @t35)) (not (tptp.p19 @t34 @t33)) (not (tptp.p10 @t33 @t32))))) % 0.40/0.60 (assume @p23 (forall (@list @t39 @t38 @t37 @t36) (or (tptp.p16 @t39 @t38) (not (tptp.p2 @t37 @t39)) (not (tptp.p2 @t36 @t38)) (not (tptp.p16 @t37 @t36))))) % 0.40/0.60 (assume @p24 (forall (@list @t42 @t40 @t43 @t41) (or (tptp.p15 @t42 @t40) (not (tptp.p15 @t43 @t41)) (not (tptp.p2 @t43 @t42)) (not (tptp.p10 @t41 @t40))))) % 0.40/0.60 (assume @p25 (tptp.p14 (tptp.f7 tptp.c22 @t26) @t25 @t44)) % 0.40/0.60 (assume @p26 (forall (@list @t48 @t46 @t47 @t45) (or (tptp.p2 (tptp.f8 @t48 @t46) (tptp.f8 @t47 @t45)) (not (tptp.p2 @t48 @t47)) (not (tptp.p2 @t46 @t45))))) % 0.40/0.60 (assume @p27 (forall (@list @t52 @t50 @t51 @t49) (or (tptp.p2 (tptp.f12 @t52 @t50) (tptp.f12 @t51 @t49)) (not (tptp.p2 @t52 @t51)) (not (tptp.p2 @t50 @t49))))) % 0.40/0.60 (assume @p28 @t57) % 0.40/0.60 (assume @p29 @t60) % 0.40/0.60 (assume @p30 (not @t63)) % 0.40/0.60 (assume @p31 (forall (@list @t67 @t68 @t69 @t64 @t65 @t66) (or (tptp.p14 @t67 @t68 @t69) (not (tptp.p2 @t64 @t69)) (not (tptp.p2 @t65 @t68)) (not (tptp.p2 @t66 @t67)) (not (tptp.p14 @t66 @t65 @t64))))) % 0.40/0.60 (assume @p32 (forall (@list @t73 @t71 @t75 @t72 @t70 @t74) (or (tptp.p2 (tptp.f11 @t73 @t71 @t75) (tptp.f11 @t72 @t70 @t74)) (not (tptp.p2 @t75 @t74)) (not (tptp.p9 @t73 @t72)) (not (tptp.p10 @t71 @t70))))) % 0.40/0.60 (step @p33 :rule instantiate :premises (@p27) :args ((@list @t26 tptp.c25 @t26 tptp.c28))) % 0.40/0.60 (step @p34 :rule instantiate :premises (@p4) :args ((@list @t26))) % 0.40/0.60 (step @p35 :rule cnf_or_pos :args (@t80)) % 0.40/0.60 (step @p36 :rule reordering :premises (@p35) :args ((or @t76 @t78 @t79 (not @t80)))) % 0.40/0.60 (step @p37 :rule chain_m_resolution :premises (@p36 @p7 @p34 @p33) :args (@t79 (@list false false false) (@list @t5 @t77 @t80))) % 0.40/0.60 (step @p38 :rule instantiate :premises (@p31) :args ((@list @t62 @t25 @t44 @t44 @t25 @t59))) % 0.40/0.60 (step @p39 :rule instantiate :premises (@p4) :args ((@list @t44))) % 0.40/0.60 (step @p40 :rule instantiate :premises (@p4) :args ((@list @t25))) % 0.40/0.60 (step @p41 :rule cnf_or_pos :args (@t88)) % 0.40/0.60 (step @p42 :rule reordering :premises (@p41) :args ((or @t63 @t81 @t85 @t87 @t83 (not @t88)))) % 0.40/0.60 (step @p43 :rule chain_m_resolution :premises (@p42 @p30 @p29 @p40 @p39 @p38) :args (@t83 (@list true false false false false) (@list @t63 @t60 @t84 @t86 @t88))) % 0.40/0.60 (step @p44 :rule instantiate :premises (@p4) :args ((@list tptp.c22))) % 0.40/0.60 (step @p45 :rule cnf_or_pos :args (@t92)) % 0.40/0.60 (step @p46 :rule reordering :premises (@p45) :args ((or @t90 @t82 @t91 @t93))) % 0.40/0.60 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p43 @p37) :args (@t93 (@list false true false) (@list @t89 @t82 @t79))) % 0.40/0.60 (assume-push @p54 @t57) % 0.40/0.60 (step @p49 :rule instantiate :premises (@p28) :args ((@list tptp.c22 @t58 tptp.c22 @t61))) % 0.40/0.60 (step-pop @p55 :rule scope :premises (@p49)) % 0.40/0.60 (step @p50 :rule process_scope :premises (@p55) :args (@t92)) % 0.40/0.60 (step @p52 :rule implies_elim :premises (@p50)) % 0.40/0.60 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p28) :args (false (@list true false) (@list @t92 @t57))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------