%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN618-1 : 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 : n003.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 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN618-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n003.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 23:32:44 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Unsatisfiable % 0.45/0.66 % SZS output start Proof % 0.45/0.67 ( % 0.45/0.67 (declare-sort $$unsorted 0) % 0.45/0.67 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.c24 $$unsorted) % 0.45/0.67 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.c22 $$unsorted) % 0.45/0.67 (declare-const tptp.p11 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.c18 $$unsorted) % 0.45/0.67 (declare-const tptp.c17 $$unsorted) % 0.45/0.67 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.c20 $$unsorted) % 0.45/0.67 (declare-const tptp.p9 (-> $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.c19 $$unsorted) % 0.45/0.67 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.p13 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.f6 (-> $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.p14 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.p12 (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.c16 $$unsorted) % 0.45/0.67 (declare-const tptp.c21 $$unsorted) % 0.45/0.67 (declare-const tptp.c23 $$unsorted) % 0.45/0.67 (define @t1 () (@var "X0" $$unsorted)) % 0.45/0.67 (define @t2 () (@var "X34" $$unsorted)) % 0.45/0.67 (define @t3 () (@var "X29" $$unsorted)) % 0.45/0.67 (define @t4 () (@var "X24" $$unsorted)) % 0.45/0.67 (define @t5 () (@var "X17" $$unsorted)) % 0.45/0.67 (define @t6 () (tptp.p13 tptp.c23 tptp.c21)) % 0.45/0.67 (define @t7 () (tptp.p13 tptp.c19 tptp.c23)) % 0.45/0.67 (define @t8 () (tptp.f3 tptp.c16)) % 0.45/0.67 (define @t9 () (tptp.p2 tptp.c17 @t8)) % 0.45/0.67 (define @t10 () (tptp.f6 (tptp.f7 tptp.c22))) % 0.45/0.67 (define @t11 () (@var "X44" $$unsorted)) % 0.45/0.67 (define @t12 () (@var "X45" $$unsorted)) % 0.45/0.67 (define @t13 () (tptp.f8 @t8 tptp.c23)) % 0.45/0.67 (define @t14 () (tptp.p5 @t13 @t10)) % 0.45/0.67 (define @t15 () (tptp.f8 @t8 tptp.c20)) % 0.45/0.67 (define @t16 () (tptp.p5 @t15 @t10)) % 0.45/0.67 (define @t17 () (@var "X39" $$unsorted)) % 0.45/0.67 (define @t18 () (@var "X38" $$unsorted)) % 0.45/0.67 (define @t19 () (@var "X28" $$unsorted)) % 0.45/0.67 (define @t20 () (@var "X27" $$unsorted)) % 0.45/0.67 (define @t21 () (@var "X33" $$unsorted)) % 0.45/0.67 (define @t22 () (@var "X32" $$unsorted)) % 0.45/0.67 (define @t23 () (@var "X2" $$unsorted)) % 0.45/0.67 (define @t24 () (@var "X1" $$unsorted)) % 0.45/0.67 (define @t25 () (@var "X36" $$unsorted)) % 0.45/0.67 (define @t26 () (@var "X35" $$unsorted)) % 0.45/0.67 (define @t27 () (forall (@list @t26 @t25 @t2) (or (tptp.p5 @t26 @t25) (not (tptp.p5 @t2 @t26)) (not (tptp.p5 @t2 @t25))))) % 0.45/0.67 (define @t28 () (@var "X31" $$unsorted)) % 0.45/0.67 (define @t29 () (@var "X30" $$unsorted)) % 0.45/0.67 (define @t30 () (@var "X26" $$unsorted)) % 0.45/0.67 (define @t31 () (@var "X25" $$unsorted)) % 0.45/0.67 (define @t32 () (@var "X19" $$unsorted)) % 0.45/0.67 (define @t33 () (@var "X18" $$unsorted)) % 0.45/0.67 (define @t34 () (@var "X12" $$unsorted)) % 0.45/0.67 (define @t35 () (@var "X11" $$unsorted)) % 0.45/0.67 (define @t36 () (@var "X10" $$unsorted)) % 0.45/0.67 (define @t37 () (@var "X9" $$unsorted)) % 0.45/0.67 (define @t38 () (@var "X21" $$unsorted)) % 0.45/0.67 (define @t39 () (@var "X22" $$unsorted)) % 0.45/0.67 (define @t40 () (@var "X23" $$unsorted)) % 0.45/0.67 (define @t41 () (@var "X20" $$unsorted)) % 0.45/0.67 (define @t42 () (@var "X16" $$unsorted)) % 0.45/0.67 (define @t43 () (@var "X15" $$unsorted)) % 0.45/0.67 (define @t44 () (@var "X14" $$unsorted)) % 0.45/0.67 (define @t45 () (@var "X13" $$unsorted)) % 0.45/0.67 (define @t46 () (@var "X37" $$unsorted)) % 0.45/0.67 (define @t47 () (not (tptp.p13 tptp.c19 @t46))) % 0.45/0.67 (define @t48 () (not (tptp.p13 @t46 tptp.c21))) % 0.45/0.67 (define @t49 () (tptp.p5 @t46 tptp.c20)) % 0.45/0.67 (define @t50 () (@list @t46)) % 0.45/0.67 (define @t51 () (@var "X43" $$unsorted)) % 0.45/0.67 (define @t52 () (@var "X41" $$unsorted)) % 0.45/0.67 (define @t53 () (@var "X42" $$unsorted)) % 0.45/0.67 (define @t54 () (@var "X40" $$unsorted)) % 0.45/0.67 (define @t55 () (@var "X6" $$unsorted)) % 0.45/0.67 (define @t56 () (@var "X8" $$unsorted)) % 0.45/0.67 (define @t57 () (@var "X7" $$unsorted)) % 0.45/0.67 (define @t58 () (@var "X5" $$unsorted)) % 0.45/0.67 (define @t59 () (@var "X3" $$unsorted)) % 0.45/0.67 (define @t60 () (@var "X4" $$unsorted)) % 0.45/0.67 (define @t61 () (@list tptp.c23)) % 0.45/0.67 (define @t62 () (tptp.f8 tptp.c17 tptp.c23)) % 0.45/0.67 (define @t63 () (tptp.p2 tptp.c17 tptp.c17)) % 0.45/0.67 (define @t64 () (not @t63)) % 0.45/0.67 (define @t65 () (not @t9)) % 0.45/0.67 (define @t66 () (tptp.p2 @t8 tptp.c17)) % 0.45/0.67 (define @t67 () (or @t66 @t65 @t64)) % 0.45/0.67 (define @t68 () (@list false false false)) % 0.45/0.67 (define @t69 () (tptp.p5 tptp.c23 tptp.c23)) % 0.45/0.67 (define @t70 () (not @t69)) % 0.45/0.67 (define @t71 () (not @t66)) % 0.45/0.67 (define @t72 () (tptp.p5 @t13 @t62)) % 0.45/0.67 (define @t73 () (or @t72 @t71 @t70)) % 0.45/0.67 (define @t74 () (not @t14)) % 0.45/0.67 (define @t75 () (not @t72)) % 0.45/0.67 (define @t76 () (tptp.p5 @t62 @t10)) % 0.45/0.67 (define @t77 () (or @t76 @t75 @t74)) % 0.45/0.67 (define @t78 () (not @t76)) % 0.45/0.67 (define @t79 () (not @t7)) % 0.45/0.67 (define @t80 () (not @t6)) % 0.45/0.67 (define @t81 () (tptp.p5 tptp.c23 tptp.c20)) % 0.45/0.67 (define @t82 () (or @t81 @t80 @t79 @t78)) % 0.45/0.67 (define @t83 () (not @t81)) % 0.45/0.67 (define @t84 () (tptp.p2 @t8 @t8)) % 0.45/0.67 (define @t85 () (not @t84)) % 0.45/0.67 (define @t86 () (tptp.p5 @t13 @t15)) % 0.45/0.67 (define @t87 () (or @t86 @t85 @t83)) % 0.45/0.67 (define @t88 () (not @t86)) % 0.45/0.67 (define @t89 () (or @t16 @t88 @t74)) % 0.45/0.67 (define @t90 () (not @t89)) % 0.45/0.67 (assume @p1 (tptp.p9 tptp.c16)) % 0.45/0.67 (assume @p2 (forall (@list @t1) (tptp.p10 @t1 @t1))) % 0.45/0.67 (assume @p3 (forall (@list @t2) (tptp.p5 @t2 @t2))) % 0.45/0.67 (assume @p4 (forall (@list @t3) (tptp.p4 @t3 @t3))) % 0.45/0.67 (assume @p5 (forall (@list @t4) (tptp.p2 @t4 @t4))) % 0.45/0.67 (assume @p6 (forall (@list @t5) (tptp.p14 @t5 @t5))) % 0.45/0.67 (assume @p7 (tptp.p12 tptp.c19 tptp.c20)) % 0.45/0.67 (assume @p8 @t6) % 0.45/0.67 (assume @p9 @t7) % 0.45/0.67 (assume @p10 (tptp.p13 tptp.c19 tptp.c21)) % 0.45/0.67 (assume @p11 (tptp.p12 tptp.c20 tptp.c21)) % 0.45/0.67 (assume @p12 @t9) % 0.45/0.67 (assume @p13 (tptp.p11 tptp.c16 tptp.c17 tptp.c18)) % 0.45/0.67 (assume @p14 (tptp.p5 (tptp.f8 tptp.c16 tptp.c20) @t10)) % 0.45/0.67 (assume @p15 (forall (@list @t11 @t12) (or (tptp.p9 @t11) (not (tptp.p9 @t12)) (not (tptp.p2 @t12 @t11))))) % 0.45/0.67 (assume @p16 @t14) % 0.45/0.67 (assume @p17 (not @t16)) % 0.45/0.67 (assume @p18 (forall (@list @t18 @t17) (or (tptp.p5 (tptp.f6 @t18) (tptp.f6 @t17)) (not (tptp.p4 @t18 @t17))))) % 0.45/0.67 (assume @p19 (forall (@list @t20 @t19) (or (tptp.p2 (tptp.f3 @t20) (tptp.f3 @t19)) (not (tptp.p2 @t20 @t19))))) % 0.45/0.67 (assume @p20 (forall (@list @t22 @t21) (or (tptp.p4 (tptp.f7 @t22) (tptp.f7 @t21)) (not (tptp.p4 @t22 @t21))))) % 0.45/0.67 (assume @p21 (forall (@list @t24 @t23 @t1) (or (tptp.p10 @t24 @t23) (not (tptp.p10 @t1 @t24)) (not (tptp.p10 @t1 @t23))))) % 0.45/0.67 (assume @p22 @t27) % 0.45/0.67 (assume @p23 (forall (@list @t29 @t28 @t3) (or (tptp.p4 @t29 @t28) (not (tptp.p4 @t3 @t29)) (not (tptp.p4 @t3 @t28))))) % 0.45/0.67 (assume @p24 (forall (@list @t31 @t30 @t4) (or (tptp.p2 @t31 @t30) (not (tptp.p2 @t4 @t31)) (not (tptp.p2 @t4 @t30))))) % 0.45/0.67 (assume @p25 (forall (@list @t33 @t32 @t5) (or (tptp.p14 @t33 @t32) (not (tptp.p14 @t5 @t33)) (not (tptp.p14 @t5 @t32))))) % 0.45/0.67 (assume @p26 (forall (@list @t37 @t36 @t35 @t34) (or (tptp.p12 @t37 @t36) (not (tptp.p5 @t35 @t37)) (not (tptp.p5 @t34 @t36)) (not (tptp.p12 @t35 @t34))))) % 0.45/0.67 (assume @p27 (forall (@list @t41 @t38 @t40 @t39) (or (tptp.p15 @t41 @t38) (not (tptp.p14 @t40 @t41)) (not (tptp.p15 @t40 @t39)) (not (tptp.p10 @t39 @t38))))) % 0.45/0.67 (assume @p28 (forall (@list @t45 @t44 @t43 @t42) (or (tptp.p13 @t45 @t44) (not (tptp.p5 @t43 @t45)) (not (tptp.p5 @t42 @t44)) (not (tptp.p13 @t43 @t42))))) % 0.45/0.67 (assume @p29 (forall @t50 (or @t49 @t48 @t47 (not (tptp.p15 tptp.c24 tptp.c18))))) % 0.45/0.67 (assume @p30 (forall (@list @t54 @t52 @t53 @t51) (or (tptp.p5 (tptp.f8 @t54 @t52) (tptp.f8 @t53 @t51)) (not (tptp.p2 @t54 @t53)) (not (tptp.p5 @t52 @t51))))) % 0.45/0.67 (assume @p31 (forall @t50 (or @t49 @t48 @t47 (not (tptp.p5 (tptp.f8 tptp.c17 @t46) @t10))))) % 0.45/0.67 (assume @p32 (forall @t50 (or @t49 @t48 @t47 (not (tptp.p5 (tptp.f8 tptp.c16 @t46) @t10))))) % 0.45/0.67 (assume @p33 (forall (@list @t59 @t60 @t58 @t56 @t57 @t55) (or (tptp.p11 @t59 @t60 @t58) (not (tptp.p2 @t56 @t60)) (not (tptp.p2 @t57 @t59)) (not (tptp.p10 @t55 @t58)) (not (tptp.p11 @t57 @t56 @t55))))) % 0.45/0.67 (step @p34 :rule instantiate :premises (@p30) :args ((@list @t8 tptp.c23 @t8 tptp.c20))) % 0.45/0.67 (step @p35 :rule instantiate :premises (@p5) :args ((@list @t8))) % 0.45/0.67 (step @p36 :rule instantiate :premises (@p31) :args (@t61)) % 0.45/0.67 (step @p37 :rule instantiate :premises (@p22) :args ((@list @t62 @t10 @t13))) % 0.45/0.67 (step @p38 :rule instantiate :premises (@p30) :args ((@list @t8 tptp.c23 tptp.c17 tptp.c23))) % 0.45/0.67 (step @p39 :rule instantiate :premises (@p24) :args ((@list @t8 tptp.c17 tptp.c17))) % 0.45/0.67 (step @p40 :rule instantiate :premises (@p5) :args ((@list tptp.c17))) % 0.45/0.67 (step @p41 :rule cnf_or_pos :args (@t67)) % 0.45/0.67 (step @p42 :rule reordering :premises (@p41) :args ((or @t65 @t64 @t66 (not @t67)))) % 0.45/0.67 (step @p43 :rule chain_m_resolution :premises (@p42 @p12 @p40 @p39) :args (@t66 @t68 (@list @t9 @t63 @t67))) % 0.45/0.67 (step @p44 :rule instantiate :premises (@p3) :args (@t61)) % 0.45/0.67 (step @p45 :rule cnf_or_pos :args (@t73)) % 0.45/0.67 (step @p46 :rule reordering :premises (@p45) :args ((or @t70 @t72 @t71 (not @t73)))) % 0.45/0.67 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p43 @p38) :args (@t72 @t68 (@list @t69 @t66 @t73))) % 0.45/0.67 (step @p48 :rule cnf_or_pos :args (@t77)) % 0.45/0.67 (step @p49 :rule reordering :premises (@p48) :args ((or @t74 @t76 @t75 (not @t77)))) % 0.45/0.67 (step @p50 :rule chain_m_resolution :premises (@p49 @p16 @p47 @p37) :args (@t76 @t68 (@list @t14 @t72 @t77))) % 0.45/0.67 (step @p51 :rule cnf_or_pos :args (@t82)) % 0.45/0.67 (step @p52 :rule reordering :premises (@p51) :args ((or @t80 @t79 @t81 @t78 (not @t82)))) % 0.45/0.67 (step @p53 :rule chain_m_resolution :premises (@p52 @p8 @p9 @p50 @p36) :args (@t81 (@list false false false false) (@list @t6 @t7 @t76 @t82))) % 0.45/0.67 (step @p54 :rule cnf_or_pos :args (@t87)) % 0.45/0.67 (step @p55 :rule reordering :premises (@p54) :args ((or @t83 @t85 @t86 (not @t87)))) % 0.45/0.67 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p35 @p34) :args (@t86 @t68 (@list @t81 @t84 @t87))) % 0.45/0.67 (step @p57 :rule cnf_or_pos :args (@t89)) % 0.45/0.67 (step @p58 :rule reordering :premises (@p57) :args ((or @t16 @t74 @t88 @t90))) % 0.45/0.67 (step @p59 :rule chain_m_resolution :premises (@p58 @p17 @p16 @p56) :args (@t90 (@list true false false) (@list @t16 @t14 @t86))) % 0.45/0.67 (assume-push @p66 @t27) % 0.45/0.67 (step @p61 :rule instantiate :premises (@p22) :args ((@list @t15 @t10 @t13))) % 0.45/0.67 (step-pop @p67 :rule scope :premises (@p61)) % 0.45/0.67 (step @p62 :rule process_scope :premises (@p67) :args (@t89)) % 0.45/0.67 (step @p64 :rule implies_elim :premises (@p62)) % 0.45/0.67 (step @p65 false :rule chain_m_resolution :premises (@p64 @p59 @p22) :args (false (@list true false) (@list @t89 @t27))) % 0.45/0.67 ) % 0.45/0.67 % SZS output end Proof % 0.45/0.67 % cvc5 exiting %------------------------------------------------------------------------------