%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN622-1 : 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 : n015.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 09:09:31 AM UTC 2026 % Result : Unsatisfiable 0.50s 0.74s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYN622-1 : TPTP v9.2.1. Released v2.5.0. % 0.11/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n015.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 23:33:04 EDT 2026 % 0.17/0.36 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.74 % SZS status Unsatisfiable % 0.50/0.74 % SZS output start Proof % 0.50/0.75 ( % 0.50/0.75 (declare-sort $$unsorted 0) % 0.50/0.75 (declare-const tptp.c28 $$unsorted) % 0.50/0.75 (declare-const tptp.p20 (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.c26 $$unsorted) % 0.50/0.75 (declare-const tptp.f14 (-> $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.f10 (-> $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.p21 (-> $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.c27 $$unsorted) % 0.50/0.75 (declare-const tptp.c25 $$unsorted) % 0.50/0.75 (declare-const tptp.f18 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.p22 (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.p8 (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.f15 (-> $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.c24 $$unsorted) % 0.50/0.75 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.f6 (-> $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.c23 $$unsorted) % 0.50/0.75 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.p9 (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.50/0.75 (declare-const tptp.p11 (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (declare-const tptp.p19 (-> $$unsorted $$unsorted Bool)) % 0.50/0.75 (define @t1 () (@var "X0" $$unsorted)) % 0.50/0.75 (define @t2 () (@var "X60" $$unsorted)) % 0.50/0.75 (define @t3 () (@var "X36" $$unsorted)) % 0.50/0.75 (define @t4 () (@var "X25" $$unsorted)) % 0.50/0.75 (define @t5 () (@var "X9" $$unsorted)) % 0.50/0.75 (define @t6 () (@var "X51" $$unsorted)) % 0.50/0.75 (define @t7 () (@var "X50" $$unsorted)) % 0.50/0.75 (define @t8 () (@var "X17" $$unsorted)) % 0.50/0.75 (define @t9 () (@var "X18" $$unsorted)) % 0.50/0.75 (define @t10 () (@var "X4" $$unsorted)) % 0.50/0.75 (define @t11 () (@var "X3" $$unsorted)) % 0.50/0.75 (define @t12 () (@var "X66" $$unsorted)) % 0.50/0.75 (define @t13 () (@var "X65" $$unsorted)) % 0.50/0.75 (define @t14 () (@var "X64" $$unsorted)) % 0.50/0.75 (define @t15 () (@var "X63" $$unsorted)) % 0.50/0.75 (define @t16 () (@var "X45" $$unsorted)) % 0.50/0.75 (define @t17 () (@var "X44" $$unsorted)) % 0.50/0.75 (define @t18 () (@var "X35" $$unsorted)) % 0.50/0.75 (define @t19 () (@var "X34" $$unsorted)) % 0.50/0.75 (define @t20 () (@var "X33" $$unsorted)) % 0.50/0.75 (define @t21 () (@var "X32" $$unsorted)) % 0.50/0.75 (define @t22 () (@var "X31" $$unsorted)) % 0.50/0.75 (define @t23 () (@var "X30" $$unsorted)) % 0.50/0.75 (define @t24 () (@var "X29" $$unsorted)) % 0.50/0.75 (define @t25 () (@var "X28" $$unsorted)) % 0.50/0.75 (define @t26 () (tptp.f14 (tptp.f15 (tptp.f5 tptp.c25)))) % 0.50/0.75 (define @t27 () (tptp.f13 tptp.c26)) % 0.50/0.75 (define @t28 () (tptp.f12 @t27 tptp.c27)) % 0.50/0.75 (define @t29 () (@var "X2" $$unsorted)) % 0.50/0.75 (define @t30 () (@var "X1" $$unsorted)) % 0.50/0.75 (define @t31 () (@var "X62" $$unsorted)) % 0.50/0.75 (define @t32 () (@var "X61" $$unsorted)) % 0.50/0.75 (define @t33 () (@var "X38" $$unsorted)) % 0.50/0.75 (define @t34 () (@var "X37" $$unsorted)) % 0.50/0.75 (define @t35 () (forall (@list @t34 @t33 @t3) (or (tptp.p8 @t34 @t33) (not (tptp.p8 @t3 @t34)) (not (tptp.p8 @t3 @t33))))) % 0.50/0.75 (define @t36 () (@var "X27" $$unsorted)) % 0.50/0.75 (define @t37 () (@var "X26" $$unsorted)) % 0.50/0.75 (define @t38 () (@var "X11" $$unsorted)) % 0.50/0.75 (define @t39 () (@var "X10" $$unsorted)) % 0.50/0.75 (define @t40 () (@var "X43" $$unsorted)) % 0.50/0.75 (define @t41 () (tptp.f13 tptp.c23)) % 0.50/0.75 (define @t42 () (@var "X16" $$unsorted)) % 0.50/0.75 (define @t43 () (tptp.f12 @t27 tptp.c28)) % 0.50/0.75 (define @t44 () (tptp.f17 tptp.c28 tptp.c27)) % 0.50/0.75 (define @t45 () (tptp.f12 @t41 @t44)) % 0.50/0.75 (define @t46 () (tptp.p8 @t45 @t43)) % 0.50/0.75 (define @t47 () (@var "X8" $$unsorted)) % 0.50/0.75 (define @t48 () (@var "X7" $$unsorted)) % 0.50/0.75 (define @t49 () (@var "X6" $$unsorted)) % 0.50/0.75 (define @t50 () (@var "X5" $$unsorted)) % 0.50/0.75 (define @t51 () (@var "X24" $$unsorted)) % 0.50/0.75 (define @t52 () (@var "X23" $$unsorted)) % 0.50/0.75 (define @t53 () (@var "X22" $$unsorted)) % 0.50/0.75 (define @t54 () (@var "X21" $$unsorted)) % 0.50/0.75 (define @t55 () (@var "X15" $$unsorted)) % 0.50/0.75 (define @t56 () (@var "X14" $$unsorted)) % 0.50/0.75 (define @t57 () (@var "X13" $$unsorted)) % 0.50/0.75 (define @t58 () (@var "X12" $$unsorted)) % 0.50/0.75 (define @t59 () (@var "X58" $$unsorted)) % 0.50/0.75 (define @t60 () (@var "X56" $$unsorted)) % 0.50/0.75 (define @t61 () (@var "X59" $$unsorted)) % 0.50/0.75 (define @t62 () (@var "X57" $$unsorted)) % 0.50/0.75 (define @t63 () (@var "X42" $$unsorted)) % 0.50/0.75 (define @t64 () (@var "X40" $$unsorted)) % 0.50/0.75 (define @t65 () (@var "X41" $$unsorted)) % 0.50/0.75 (define @t66 () (@var "X39" $$unsorted)) % 0.50/0.75 (define @t67 () (@var "X49" $$unsorted)) % 0.50/0.75 (define @t68 () (@var "X47" $$unsorted)) % 0.50/0.75 (define @t69 () (@var "X48" $$unsorted)) % 0.50/0.75 (define @t70 () (@var "X46" $$unsorted)) % 0.50/0.75 (define @t71 () (@var "X55" $$unsorted)) % 0.50/0.75 (define @t72 () (@var "X53" $$unsorted)) % 0.50/0.75 (define @t73 () (@var "X54" $$unsorted)) % 0.50/0.75 (define @t74 () (@var "X52" $$unsorted)) % 0.50/0.75 (define @t75 () (@var "X20" $$unsorted)) % 0.50/0.75 (define @t76 () (@var "X19" $$unsorted)) % 0.50/0.75 (define @t77 () (tptp.f13 @t76)) % 0.50/0.75 (define @t78 () (tptp.f16 tptp.c27 @t44)) % 0.50/0.75 (define @t79 () (tptp.p8 @t78 tptp.c28)) % 0.50/0.75 (define @t80 () (not @t79)) % 0.50/0.75 (define @t81 () (tptp.p11 @t27 @t27)) % 0.50/0.75 (define @t82 () (not @t81)) % 0.50/0.75 (define @t83 () (tptp.f12 @t27 @t78)) % 0.50/0.75 (define @t84 () (tptp.p8 @t83 @t43)) % 0.50/0.75 (define @t85 () (or @t84 @t82 @t80)) % 0.50/0.75 (define @t86 () (@list false false false)) % 0.50/0.75 (define @t87 () (tptp.p8 @t45 @t45)) % 0.50/0.75 (define @t88 () (not @t87)) % 0.50/0.75 (define @t89 () (tptp.p8 @t45 @t83)) % 0.50/0.75 (define @t90 () (not @t89)) % 0.50/0.75 (define @t91 () (tptp.p8 @t83 @t45)) % 0.50/0.75 (define @t92 () (or @t91 @t90 @t88)) % 0.50/0.75 (define @t93 () (not @t84)) % 0.50/0.75 (define @t94 () (not @t91)) % 0.50/0.75 (define @t95 () (or @t46 @t94 @t93)) % 0.50/0.75 (define @t96 () (not @t95)) % 0.50/0.75 (assume @p1 (forall (@list @t1) (tptp.p11 @t1 @t1))) % 0.50/0.75 (assume @p2 (forall (@list @t2) (tptp.p9 @t2 @t2))) % 0.50/0.75 (assume @p3 (forall (@list @t3) (tptp.p8 @t3 @t3))) % 0.50/0.75 (assume @p4 (forall (@list @t4) (tptp.p3 @t4 @t4))) % 0.50/0.75 (assume @p5 (forall (@list @t5) (tptp.p2 @t5 @t5))) % 0.50/0.75 (assume @p6 (tptp.p3 (tptp.f4 tptp.c23) tptp.c24)) % 0.50/0.75 (assume @p7 (tptp.p19 (tptp.f5 (tptp.f6 (tptp.f7 tptp.c25))) tptp.c24)) % 0.50/0.75 (assume @p8 (forall (@list @t7 @t6) (tptp.p8 (tptp.f16 @t7 (tptp.f17 @t6 @t7)) @t6))) % 0.50/0.75 (assume @p9 (forall (@list @t8 @t9) (or (tptp.p21 @t8) (not (tptp.p21 @t9)) (not (tptp.p11 @t9 @t8))))) % 0.50/0.75 (assume @p10 (forall (@list @t11 @t10) (or (tptp.p11 (tptp.f13 @t11) (tptp.f13 @t10)) (not (tptp.p2 @t11 @t10))))) % 0.50/0.75 (assume @p11 (forall (@list @t13 @t12) (or (tptp.p9 (tptp.f15 @t13) (tptp.f15 @t12)) (not (tptp.p3 @t13 @t12))))) % 0.50/0.75 (assume @p12 (forall (@list @t15 @t14) (or (tptp.p9 (tptp.f10 @t15) (tptp.f10 @t14)) (not (tptp.p8 @t15 @t14))))) % 0.50/0.75 (assume @p13 (forall (@list @t17 @t16) (or (tptp.p8 (tptp.f14 @t17) (tptp.f14 @t16)) (not (tptp.p9 @t17 @t16))))) % 0.50/0.75 (assume @p14 (forall (@list @t19 @t18) (or (tptp.p3 (tptp.f7 @t19) (tptp.f7 @t18)) (not (tptp.p3 @t19 @t18))))) % 0.50/0.75 (assume @p15 (forall (@list @t21 @t20) (or (tptp.p3 (tptp.f6 @t21) (tptp.f6 @t20)) (not (tptp.p3 @t21 @t20))))) % 0.50/0.75 (assume @p16 (forall (@list @t23 @t22) (or (tptp.p3 (tptp.f5 @t23) (tptp.f5 @t22)) (not (tptp.p3 @t23 @t22))))) % 0.50/0.75 (assume @p17 (forall (@list @t25 @t24) (or (tptp.p3 (tptp.f4 @t25) (tptp.f4 @t24)) (not (tptp.p2 @t25 @t24))))) % 0.50/0.75 (assume @p18 (not (tptp.p8 @t28 @t26))) % 0.50/0.75 (assume @p19 (forall (@list @t30 @t29 @t1) (or (tptp.p11 @t30 @t29) (not (tptp.p11 @t1 @t30)) (not (tptp.p11 @t1 @t29))))) % 0.50/0.75 (assume @p20 (forall (@list @t32 @t31 @t2) (or (tptp.p9 @t32 @t31) (not (tptp.p9 @t2 @t32)) (not (tptp.p9 @t2 @t31))))) % 0.50/0.75 (assume @p21 @t35) % 0.50/0.75 (assume @p22 (forall (@list @t37 @t36 @t4) (or (tptp.p3 @t37 @t36) (not (tptp.p3 @t4 @t37)) (not (tptp.p3 @t4 @t36))))) % 0.50/0.75 (assume @p23 (forall (@list @t39 @t38 @t5) (or (tptp.p2 @t39 @t38) (not (tptp.p2 @t5 @t39)) (not (tptp.p2 @t5 @t38))))) % 0.50/0.75 (assume @p24 (forall (@list @t40) (tptp.p8 (tptp.f12 @t41 @t40) (tptp.f12 @t27 (tptp.f16 tptp.c27 @t40))))) % 0.50/0.75 (assume @p25 (forall (@list @t42) (tptp.p20 (tptp.f10 @t28) (tptp.f10 (tptp.f12 @t27 @t42))))) % 0.50/0.75 (assume @p26 (not @t46)) % 0.50/0.75 (assume @p27 (forall (@list @t50 @t49 @t48 @t47) (or (tptp.p19 @t50 @t49) (not (tptp.p3 @t48 @t50)) (not (tptp.p3 @t47 @t49)) (not (tptp.p19 @t48 @t47))))) % 0.50/0.75 (assume @p28 (forall (@list @t54 @t53 @t52 @t51) (or (tptp.p22 @t54 @t53) (not (tptp.p3 @t52 @t54)) (not (tptp.p3 @t51 @t53)) (not (tptp.p22 @t52 @t51))))) % 0.50/0.75 (assume @p29 (forall (@list @t58 @t57 @t56 @t55) (or (tptp.p20 @t58 @t57) (not (tptp.p9 @t56 @t58)) (not (tptp.p9 @t55 @t57)) (not (tptp.p20 @t56 @t55))))) % 0.50/0.75 (assume @p30 (forall (@list @t60 @t62 @t59 @t61) (or (tptp.p8 (tptp.f18 @t60 @t62) (tptp.f18 @t59 @t61)) (not (tptp.p2 @t62 @t61)) (not (tptp.p3 @t60 @t59))))) % 0.50/0.75 (assume @p31 (forall (@list @t66 @t64 @t65 @t63) (or (tptp.p8 (tptp.f12 @t66 @t64) (tptp.f12 @t65 @t63)) (not (tptp.p11 @t66 @t65)) (not (tptp.p8 @t64 @t63))))) % 0.50/0.75 (assume @p32 (forall (@list @t70 @t68 @t69 @t67) (or (tptp.p8 (tptp.f16 @t70 @t68) (tptp.f16 @t69 @t67)) (not (tptp.p8 @t70 @t69)) (not (tptp.p8 @t68 @t67))))) % 0.50/0.75 (assume @p33 (forall (@list @t74 @t72 @t73 @t71) (or (tptp.p8 (tptp.f17 @t74 @t72) (tptp.f17 @t73 @t71)) (not (tptp.p8 @t74 @t73)) (not (tptp.p8 @t72 @t71))))) % 0.50/0.75 (assume @p34 (forall (@list @t76 @t75) (or (tptp.p21 @t77) (tptp.p8 (tptp.f12 @t77 (tptp.f18 @t75 @t76)) @t26) (not (tptp.p22 @t75 tptp.c24)) (not (tptp.p3 (tptp.f4 @t76) @t75))))) % 0.50/0.75 (step @p35 :rule instantiate :premises (@p31) :args ((@list @t27 @t78 @t27 tptp.c28))) % 0.50/0.75 (step @p36 :rule instantiate :premises (@p1) :args ((@list @t27))) % 0.50/0.75 (step @p37 :rule instantiate :premises (@p8) :args ((@list tptp.c27 tptp.c28))) % 0.50/0.75 (step @p38 :rule cnf_or_pos :args (@t85)) % 0.50/0.75 (step @p39 :rule reordering :premises (@p38) :args ((or @t80 @t82 @t84 (not @t85)))) % 0.50/0.75 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36 @p35) :args (@t84 @t86 (@list @t79 @t81 @t85))) % 0.50/0.75 (step @p41 :rule instantiate :premises (@p21) :args ((@list @t83 @t45 @t45))) % 0.50/0.75 (step @p42 :rule instantiate :premises (@p3) :args ((@list @t45))) % 0.50/0.75 (step @p43 :rule instantiate :premises (@p24) :args ((@list @t44))) % 0.50/0.75 (step @p44 :rule cnf_or_pos :args (@t92)) % 0.50/0.75 (step @p45 :rule reordering :premises (@p44) :args ((or @t90 @t88 @t91 (not @t92)))) % 0.50/0.75 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42 @p41) :args (@t91 @t86 (@list @t89 @t87 @t92))) % 0.50/0.75 (step @p47 :rule cnf_or_pos :args (@t95)) % 0.50/0.75 (step @p48 :rule reordering :premises (@p47) :args ((or @t46 @t94 @t93 @t96))) % 0.50/0.75 (step @p49 :rule chain_m_resolution :premises (@p48 @p26 @p46 @p40) :args (@t96 (@list true false false) (@list @t46 @t91 @t84))) % 0.50/0.75 (assume-push @p56 @t35) % 0.50/0.75 (step @p51 :rule instantiate :premises (@p21) :args ((@list @t45 @t43 @t83))) % 0.50/0.75 (step-pop @p57 :rule scope :premises (@p51)) % 0.50/0.75 (step @p52 :rule process_scope :premises (@p57) :args (@t95)) % 0.50/0.75 (step @p54 :rule implies_elim :premises (@p52)) % 0.50/0.75 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p21) :args (false (@list true false) (@list @t95 @t35))) % 0.50/0.75 ) % 0.50/0.75 % SZS output end Proof % 0.50/0.75 % cvc5 exiting %------------------------------------------------------------------------------