%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO664-1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:13:19 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYO664-1 : TPTP v9.2.1. Released v7.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n022.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 : Wed Jun 3 00:33:39 EDT 2026 % 0.16/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Unsatisfiable % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.iLEQ (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const |tptp.'E'| (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const |tptp.'0'| $$unsorted) % 0.39/0.58 (declare-const |tptp.'LE'| (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.z $$unsorted) % 0.39/0.58 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 0.39/0.58 (define @t1 () (@var "B_44" $$unsorted)) % 0.39/0.58 (define @t2 () (tptp.suc @t1)) % 0.39/0.58 (define @t3 () (tptp.s |tptp.'0'|)) % 0.39/0.58 (define @t4 () (@var "B_43" $$unsorted)) % 0.39/0.58 (define @t5 () (tptp.suc @t4)) % 0.39/0.58 (define @t6 () (@var "B_46" $$unsorted)) % 0.39/0.58 (define @t7 () (tptp.suc @t6)) % 0.39/0.58 (define @t8 () (@var "B_45" $$unsorted)) % 0.39/0.58 (define @t9 () (tptp.suc @t8)) % 0.39/0.58 (define @t10 () (@var "A_1" $$unsorted)) % 0.39/0.58 (define @t11 () (tptp.suc @t10)) % 0.39/0.58 (define @t12 () (not (|tptp.'E'| @t3 (tptp.f @t11)))) % 0.39/0.58 (define @t13 () (not (|tptp.'E'| @t3 (tptp.f @t10)))) % 0.39/0.58 (define @t14 () (tptp.f tptp.z)) % 0.39/0.58 (define @t15 () (|tptp.'LE'| @t14 |tptp.'0'|)) % 0.39/0.58 (define @t16 () (@var "B_42" $$unsorted)) % 0.39/0.58 (define @t17 () (tptp.f @t16)) % 0.39/0.58 (define @t18 () (|tptp.'LE'| @t17 @t3)) % 0.39/0.58 (define @t19 () (tptp.s @t3)) % 0.39/0.58 (define @t20 () (@list @t16)) % 0.39/0.58 (define @t21 () (@var "B_62" $$unsorted)) % 0.39/0.58 (define @t22 () (@var "B_64" $$unsorted)) % 0.39/0.58 (define @t23 () (tptp.suc @t22)) % 0.39/0.58 (define @t24 () (@var "B_61" $$unsorted)) % 0.39/0.58 (define @t25 () (tptp.suc @t21)) % 0.39/0.58 (define @t26 () (@var "B_63" $$unsorted)) % 0.39/0.58 (define @t27 () (tptp.suc @t26)) % 0.39/0.58 (define @t28 () (@var "A_2" $$unsorted)) % 0.39/0.58 (define @t29 () (not (|tptp.'E'| |tptp.'0'| (tptp.f @t28)))) % 0.39/0.58 (define @t30 () (tptp.suc @t24)) % 0.39/0.58 (define @t31 () (tptp.suc @t28)) % 0.39/0.58 (define @t32 () (not (|tptp.'E'| |tptp.'0'| (tptp.f @t31)))) % 0.39/0.58 (define @t33 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t34 () (@var "B_60" $$unsorted)) % 0.39/0.58 (define @t35 () (tptp.f @t34)) % 0.39/0.58 (define @t36 () (|tptp.'LE'| @t35 |tptp.'0'|)) % 0.39/0.58 (define @t37 () (tptp.f (tptp.suc @t34))) % 0.39/0.58 (define @t38 () (@list @t34)) % 0.39/0.58 (define @t39 () (tptp.f (tptp.suc @t16))) % 0.39/0.58 (define @t40 () (forall @t20 (or (not (|tptp.'LE'| @t39 @t19)) (|tptp.'E'| @t3 @t39) @t18))) % 0.39/0.58 (define @t41 () (@list tptp.z)) % 0.39/0.58 (define @t42 () (tptp.suc tptp.z)) % 0.39/0.58 (define @t43 () (@list @t42)) % 0.39/0.58 (define @t44 () (tptp.f @t42)) % 0.39/0.58 (define @t45 () (|tptp.'LE'| @t44 @t3)) % 0.39/0.58 (define @t46 () (|tptp.'E'| @t3 @t44)) % 0.39/0.58 (define @t47 () (|tptp.'LE'| @t44 @t19)) % 0.39/0.58 (define @t48 () (not @t47)) % 0.39/0.58 (define @t49 () (or @t48 @t46 @t45)) % 0.39/0.58 (define @t50 () (tptp.suc @t42)) % 0.39/0.58 (define @t51 () (tptp.f @t50)) % 0.39/0.58 (define @t52 () (|tptp.'E'| @t3 @t51)) % 0.39/0.58 (define @t53 () (|tptp.'LE'| @t51 @t19)) % 0.39/0.58 (define @t54 () (not @t53)) % 0.39/0.58 (define @t55 () (or @t54 @t52 @t45)) % 0.39/0.58 (define @t56 () (not @t52)) % 0.39/0.58 (define @t57 () (tptp.iLEQ @t50 @t50)) % 0.39/0.58 (define @t58 () (not @t57)) % 0.39/0.58 (define @t59 () (not @t46)) % 0.39/0.58 (define @t60 () (or @t56 @t59 @t56 @t56 @t59 @t56 @t58 @t59 @t58 @t59 @t59 @t58 @t58 @t56)) % 0.39/0.58 (define @t61 () (or @t59 @t56 @t57)) % 0.39/0.58 (define @t62 () (|tptp.'E'| |tptp.'0'| @t44)) % 0.39/0.58 (define @t63 () (not @t45)) % 0.39/0.58 (define @t64 () (or @t63 @t62 @t15)) % 0.39/0.58 (define @t65 () (tptp.iLEQ @t42 @t42)) % 0.39/0.58 (define @t66 () (not @t62)) % 0.39/0.58 (define @t67 () (|tptp.'E'| |tptp.'0'| @t14)) % 0.39/0.58 (define @t68 () (not @t67)) % 0.39/0.58 (define @t69 () (or @t68 @t66 @t65)) % 0.39/0.58 (define @t70 () (@list tptp.z tptp.z tptp.z tptp.z tptp.z)) % 0.39/0.58 (define @t71 () (not @t65)) % 0.39/0.58 (define @t72 () (or @t68 @t66 @t66 @t71 @t71 @t66 @t68 @t71 @t68 @t71 @t66 @t68 @t66 @t68)) % 0.39/0.58 (define @t73 () (|tptp.'LE'| @t14 @t3)) % 0.39/0.58 (define @t74 () (not @t73)) % 0.39/0.58 (define @t75 () (or @t74 @t67 @t15)) % 0.39/0.58 (define @t76 () (|tptp.'E'| @t3 @t14)) % 0.39/0.58 (define @t77 () (|tptp.'LE'| @t14 @t19)) % 0.39/0.58 (define @t78 () (not @t77)) % 0.39/0.58 (define @t79 () (or @t78 @t76 @t73)) % 0.39/0.58 (define @t80 () (not @t76)) % 0.39/0.58 (define @t81 () (or @t59 @t80 @t59 @t59 @t80 @t59 @t71 @t80 @t71 @t80 @t80 @t71 @t71 @t59)) % 0.39/0.58 (define @t82 () (or @t80 @t59 @t65)) % 0.39/0.58 (define @t83 () (or @t48 @t46 @t73)) % 0.39/0.58 (define @t84 () (not @t83)) % 0.39/0.58 (assume @p1 (forall (@list @t8 @t6 @t4 @t10 @t1) (or (not (|tptp.'E'| @t3 (tptp.f @t9))) (not (|tptp.'E'| @t3 (tptp.f @t8))) (not (|tptp.'E'| @t3 (tptp.f @t7))) (not (|tptp.'E'| @t3 (tptp.f @t5))) @t13 @t12 (not (tptp.iLEQ @t11 @t5)) (not (|tptp.'E'| @t3 (tptp.f @t4))) (not (tptp.iLEQ @t2 @t9)) (not (|tptp.'E'| @t3 (tptp.f @t6))) (not (|tptp.'E'| @t3 (tptp.f @t1))) (not (tptp.iLEQ @t9 @t7)) (not (tptp.iLEQ @t5 @t2)) (not (|tptp.'E'| @t3 (tptp.f @t2)))))) % 0.39/0.58 (assume @p2 (not @t15)) % 0.39/0.58 (assume @p3 (forall @t20 (or (not (|tptp.'LE'| @t17 @t19)) (|tptp.'E'| @t3 @t17) @t18))) % 0.39/0.58 (assume @p4 (forall (@list @t26 @t24 @t28 @t21 @t22) (or (not (|tptp.'E'| |tptp.'0'| (tptp.f @t26))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t30))) @t32 (not (tptp.iLEQ @t31 @t30)) (not (tptp.iLEQ @t30 @t25)) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t27))) @t29 (not (tptp.iLEQ @t25 @t27)) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t22))) (not (tptp.iLEQ @t27 @t23)) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t25))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t24))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t23))) (not (|tptp.'E'| |tptp.'0'| (tptp.f @t21)))))) % 0.39/0.58 (assume @p5 (forall (@list @t33) (|tptp.'LE'| (tptp.f @t33) @t19))) % 0.39/0.58 (assume @p6 (forall (@list @t28) (or @t29 @t32 (tptp.iLEQ @t31 @t31)))) % 0.39/0.58 (assume @p7 (forall @t38 (or (not (|tptp.'LE'| @t37 @t3)) (|tptp.'E'| |tptp.'0'| @t37) @t36))) % 0.39/0.58 (assume @p8 (forall @t38 (or (not (|tptp.'LE'| @t35 @t3)) (|tptp.'E'| |tptp.'0'| @t35) @t36))) % 0.39/0.58 (assume @p9 (forall (@list @t10) (or @t13 @t12 (tptp.iLEQ @t11 @t11)))) % 0.39/0.58 (assume @p10 @t40) % 0.39/0.58 (step @p11 :rule instantiate :premises (@p3) :args (@t41)) % 0.39/0.58 (step @p12 :rule instantiate :premises (@p8) :args (@t41)) % 0.39/0.58 (step @p13 :rule instantiate :premises (@p7) :args (@t41)) % 0.39/0.58 (step @p14 :rule instantiate :premises (@p5) :args (@t43)) % 0.39/0.58 (step @p15 :rule instantiate :premises (@p3) :args (@t43)) % 0.39/0.58 (step @p16 :rule cnf_or_pos :args (@t49)) % 0.39/0.58 (step @p17 :rule reordering :premises (@p16) :args ((or @t45 @t48 @t46 (not @t49)))) % 0.39/0.58 (step @p18 :rule instantiate :premises (@p5) :args ((@list @t50))) % 0.39/0.58 (step @p19 :rule instantiate :premises (@p10) :args (@t43)) % 0.39/0.58 (step @p20 :rule cnf_or_pos :args (@t55)) % 0.39/0.58 (step @p21 :rule reordering :premises (@p20) :args ((or @t45 @t54 @t52 (not @t55)))) % 0.39/0.58 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t42 @t42 @t42 @t42 @t42))) % 0.39/0.58 (step @p23 :rule cnf_or_pos :args (@t60)) % 0.39/0.58 (step @p24 :rule factoring :premises (@p23)) % 0.39/0.58 (step @p25 :rule reordering :premises (@p24) :args ((or @t59 @t56 @t58 (not @t60)))) % 0.39/0.58 (step @p26 :rule chain_m_resolution :premises (@p25 @p22 @p21 @p19 @p18 @p17 @p15 @p14) :args ((or @t45 @t58) (@list false false false false false false false) (@list @t60 @t52 @t55 @t53 @t46 @t49 @t47))) % 0.39/0.58 (step @p27 :rule instantiate :premises (@p9) :args (@t43)) % 0.39/0.58 (step @p28 :rule cnf_or_pos :args (@t61)) % 0.39/0.58 (step @p29 :rule reordering :premises (@p28) :args ((or @t59 @t56 @t57 (not @t61)))) % 0.39/0.58 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26 @p21 @p19 @p18 @p17 @p15 @p14) :args (@t45 (@list false true false false false false false false) (@list @t61 @t57 @t52 @t55 @t53 @t46 @t49 @t47))) % 0.39/0.58 (step @p31 :rule cnf_or_pos :args (@t64)) % 0.39/0.58 (step @p32 :rule reordering :premises (@p31) :args ((or @t15 @t63 @t62 (not @t64)))) % 0.39/0.58 (step @p33 :rule chain_m_resolution :premises (@p32 @p2 @p30 @p13) :args (@t62 (@list true false false) (@list @t15 @t45 @t64))) % 0.39/0.58 (step @p34 :rule instantiate :premises (@p6) :args (@t41)) % 0.39/0.58 (step @p35 :rule cnf_or_pos :args (@t69)) % 0.39/0.58 (step @p36 :rule reordering :premises (@p35) :args ((or @t66 @t68 @t65 (not @t69)))) % 0.39/0.58 (step @p37 :rule instantiate :premises (@p4) :args (@t70)) % 0.39/0.58 (step @p38 :rule cnf_or_pos :args (@t72)) % 0.39/0.58 (step @p39 :rule factoring :premises (@p38)) % 0.39/0.58 (step @p40 :rule reordering :premises (@p39) :args ((or @t66 @t68 @t71 (not @t72)))) % 0.39/0.58 (step @p41 :rule chain_m_resolution :premises (@p40 @p37 @p36 @p34) :args ((or @t66 @t68) (@list false false false) (@list @t72 @t65 @t69))) % 0.39/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p33) :args (@t68 (@list false) (@list @t62))) % 0.39/0.58 (step @p43 :rule cnf_or_pos :args (@t75)) % 0.39/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t15 @t74 @t67 (not @t75)))) % 0.39/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p2 @p42 @p12) :args (@t74 (@list true true false) (@list @t15 @t67 @t75))) % 0.39/0.58 (step @p46 :rule instantiate :premises (@p5) :args (@t41)) % 0.39/0.58 (step @p47 :rule cnf_or_pos :args (@t79)) % 0.39/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or @t78 @t76 @t73 (not @t79)))) % 0.39/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p45 @p11) :args (@t76 (@list false true false) (@list @t77 @t73 @t79))) % 0.39/0.58 (step @p50 :rule instantiate :premises (@p1) :args (@t70)) % 0.39/0.58 (step @p51 :rule cnf_or_pos :args (@t81)) % 0.39/0.58 (step @p52 :rule factoring :premises (@p51)) % 0.39/0.58 (step @p53 :rule reordering :premises (@p52) :args ((or @t80 @t59 @t71 (not @t81)))) % 0.39/0.58 (step @p54 :rule instantiate :premises (@p9) :args (@t41)) % 0.39/0.58 (step @p55 :rule cnf_or_pos :args (@t82)) % 0.39/0.58 (step @p56 :rule reordering :premises (@p55) :args ((or @t80 @t59 @t65 (not @t82)))) % 0.39/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p49 @p53 @p50 @p49) :args (@t59 (@list false false true false false) (@list @t82 @t76 @t65 @t81 @t76))) % 0.39/0.58 (step @p58 :rule cnf_or_pos :args (@t83)) % 0.39/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t73 @t48 @t46 @t84))) % 0.39/0.58 (step @p60 :rule chain_m_resolution :premises (@p59 @p45 @p14 @p57) :args (@t84 (@list true false true) (@list @t73 @t47 @t46))) % 0.39/0.58 (assume-push @p67 @t40) % 0.39/0.58 (step @p62 :rule instantiate :premises (@p10) :args (@t41)) % 0.39/0.58 (step-pop @p68 :rule scope :premises (@p62)) % 0.39/0.58 (step @p63 :rule process_scope :premises (@p68) :args (@t83)) % 0.39/0.58 (step @p65 :rule implies_elim :premises (@p63)) % 0.39/0.58 (step @p66 false :rule chain_m_resolution :premises (@p65 @p60 @p10) :args (false (@list true false) (@list @t83 @t40))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------