%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN569-1 : 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 : n008.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 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN569-1 : 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 % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 23:32:33 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- 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 % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.c15 $$unsorted) % 0.39/0.59 (declare-const tptp.c12 $$unsorted) % 0.39/0.59 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c14 $$unsorted) % 0.39/0.59 (declare-const tptp.p8 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c11 $$unsorted) % 0.39/0.59 (declare-const tptp.c13 $$unsorted) % 0.39/0.59 (declare-const tptp.p9 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.39/0.59 (define @t1 () (@var "X6" $$unsorted)) % 0.39/0.59 (define @t2 () (@var "X27" $$unsorted)) % 0.39/0.59 (define @t3 () (tptp.p8 tptp.c14 tptp.c12)) % 0.39/0.59 (define @t4 () (tptp.p8 tptp.c11 tptp.c14)) % 0.39/0.59 (define @t5 () (tptp.p9 tptp.c13 tptp.c15 tptp.c14)) % 0.39/0.59 (define @t6 () (@var "X5" $$unsorted)) % 0.39/0.59 (define @t7 () (@var "X4" $$unsorted)) % 0.39/0.59 (define @t8 () (@var "X14" $$unsorted)) % 0.39/0.59 (define @t9 () (@var "X13" $$unsorted)) % 0.39/0.59 (define @t10 () (@var "X29" $$unsorted)) % 0.39/0.59 (define @t11 () (@var "X28" $$unsorted)) % 0.39/0.59 (define @t12 () (@var "X8" $$unsorted)) % 0.39/0.59 (define @t13 () (@var "X7" $$unsorted)) % 0.39/0.59 (define @t14 () (forall (@list @t13 @t12 @t1) (or (tptp.p2 @t13 @t12) (not (tptp.p2 @t1 @t13)) (not (tptp.p2 @t1 @t12))))) % 0.39/0.59 (define @t15 () (@var "X12" $$unsorted)) % 0.39/0.59 (define @t16 () (@var "X10" $$unsorted)) % 0.39/0.59 (define @t17 () (@var "X11" $$unsorted)) % 0.39/0.59 (define @t18 () (@var "X9" $$unsorted)) % 0.39/0.59 (define @t19 () (@var "X40" $$unsorted)) % 0.39/0.59 (define @t20 () (@var "X3" $$unsorted)) % 0.39/0.59 (define @t21 () (@var "X2" $$unsorted)) % 0.39/0.59 (define @t22 () (@var "X1" $$unsorted)) % 0.39/0.59 (define @t23 () (@var "X0" $$unsorted)) % 0.39/0.59 (define @t24 () (@var "X30" $$unsorted)) % 0.39/0.59 (define @t25 () (@var "X32" $$unsorted)) % 0.39/0.59 (define @t26 () (@var "X33" $$unsorted)) % 0.39/0.59 (define @t27 () (@var "X31" $$unsorted)) % 0.39/0.59 (define @t28 () (tptp.f5 tptp.c12 tptp.c11)) % 0.39/0.59 (define @t29 () (tptp.f4 @t28 tptp.c15)) % 0.39/0.59 (define @t30 () (tptp.f5 (tptp.f7 tptp.c13 tptp.c12) (tptp.f7 tptp.c13 tptp.c11))) % 0.39/0.59 (define @t31 () (tptp.p2 @t30 @t29)) % 0.39/0.59 (define @t32 () (@var "X18" $$unsorted)) % 0.39/0.59 (define @t33 () (@var "X16" $$unsorted)) % 0.39/0.59 (define @t34 () (@var "X17" $$unsorted)) % 0.39/0.59 (define @t35 () (@var "X15" $$unsorted)) % 0.39/0.59 (define @t36 () (@var "X25" $$unsorted)) % 0.39/0.59 (define @t37 () (@var "X23" $$unsorted)) % 0.39/0.59 (define @t38 () (@var "X26" $$unsorted)) % 0.39/0.59 (define @t39 () (@var "X24" $$unsorted)) % 0.39/0.59 (define @t40 () (@var "X22" $$unsorted)) % 0.39/0.59 (define @t41 () (@var "X20" $$unsorted)) % 0.39/0.59 (define @t42 () (@var "X21" $$unsorted)) % 0.39/0.59 (define @t43 () (@var "X19" $$unsorted)) % 0.39/0.59 (define @t44 () (@var "X38" $$unsorted)) % 0.39/0.59 (define @t45 () (@var "X37" $$unsorted)) % 0.39/0.59 (define @t46 () (@var "X39" $$unsorted)) % 0.39/0.59 (define @t47 () (@var "X34" $$unsorted)) % 0.39/0.59 (define @t48 () (@var "X36" $$unsorted)) % 0.39/0.59 (define @t49 () (@var "X35" $$unsorted)) % 0.39/0.59 (define @t50 () (@var "X41" $$unsorted)) % 0.39/0.59 (define @t51 () (tptp.p2 @t30 @t30)) % 0.39/0.59 (define @t52 () (not @t51)) % 0.39/0.59 (define @t53 () (not @t31)) % 0.39/0.59 (define @t54 () (tptp.p2 @t29 @t30)) % 0.39/0.59 (define @t55 () (or @t54 @t53 @t52)) % 0.39/0.59 (define @t56 () (@list false false false)) % 0.39/0.59 (define @t57 () (tptp.f3 tptp.c14)) % 0.39/0.59 (define @t58 () (@list tptp.c14)) % 0.39/0.59 (define @t59 () (not @t4)) % 0.39/0.59 (define @t60 () (tptp.p10 tptp.c11 tptp.c14)) % 0.39/0.59 (define @t61 () (or @t60 @t59)) % 0.39/0.59 (define @t62 () (@list false false)) % 0.39/0.59 (define @t63 () (not @t3)) % 0.39/0.59 (define @t64 () (tptp.p10 tptp.c14 tptp.c12)) % 0.39/0.59 (define @t65 () (or @t64 @t63)) % 0.39/0.59 (define @t66 () (not @t60)) % 0.39/0.59 (define @t67 () (not @t64)) % 0.39/0.59 (define @t68 () (tptp.p9 tptp.c13 @t57 tptp.c14)) % 0.39/0.59 (define @t69 () (or @t68 @t67 @t66)) % 0.39/0.59 (define @t70 () (not @t68)) % 0.39/0.59 (define @t71 () (not @t5)) % 0.39/0.59 (define @t72 () (tptp.p2 tptp.c15 @t57)) % 0.39/0.59 (define @t73 () (or @t72 @t71 @t70)) % 0.39/0.59 (define @t74 () (not @t72)) % 0.39/0.59 (define @t75 () (tptp.p2 @t28 @t28)) % 0.39/0.59 (define @t76 () (not @t75)) % 0.39/0.59 (define @t77 () (tptp.f4 @t28 @t57)) % 0.39/0.59 (define @t78 () (tptp.p2 @t29 @t77)) % 0.39/0.59 (define @t79 () (or @t78 @t76 @t74)) % 0.39/0.59 (define @t80 () (tptp.p2 @t30 @t77)) % 0.39/0.59 (define @t81 () (not @t80)) % 0.39/0.59 (define @t82 () (or @t63 @t59 @t81)) % 0.39/0.59 (define @t83 () (tptp.p2 @t77 @t77)) % 0.39/0.59 (define @t84 () (not @t83)) % 0.39/0.59 (define @t85 () (tptp.p2 @t77 @t30)) % 0.39/0.59 (define @t86 () (not @t85)) % 0.39/0.59 (define @t87 () (or @t80 @t86 @t84)) % 0.39/0.59 (define @t88 () (@list true false false)) % 0.39/0.59 (define @t89 () (not @t54)) % 0.39/0.59 (define @t90 () (not @t78)) % 0.39/0.59 (define @t91 () (or @t85 @t90 @t89)) % 0.39/0.59 (define @t92 () (not @t91)) % 0.39/0.59 (assume @p1 (forall (@list @t1) (tptp.p2 @t1 @t1))) % 0.39/0.59 (assume @p2 (forall (@list @t2) (tptp.p6 @t2 @t2))) % 0.39/0.59 (assume @p3 @t3) % 0.39/0.59 (assume @p4 (tptp.p8 tptp.c11 tptp.c12)) % 0.39/0.59 (assume @p5 @t4) % 0.39/0.59 (assume @p6 @t5) % 0.39/0.59 (assume @p7 (forall (@list @t7 @t6) (or (tptp.p10 @t7 @t6) (not (tptp.p8 @t7 @t6))))) % 0.39/0.59 (assume @p8 (forall (@list @t9 @t8) (or (tptp.p2 (tptp.f3 @t9) (tptp.f3 @t8)) (not (tptp.p2 @t9 @t8))))) % 0.39/0.59 (assume @p9 (forall (@list @t11 @t10 @t2) (or (tptp.p6 @t11 @t10) (not (tptp.p6 @t2 @t11)) (not (tptp.p6 @t2 @t10))))) % 0.39/0.59 (assume @p10 @t14) % 0.39/0.59 (assume @p11 (forall (@list @t18 @t16 @t17 @t15) (or (tptp.p2 @t18 @t16) (not (tptp.p9 @t17 @t18 @t15)) (not (tptp.p9 @t17 @t16 @t15))))) % 0.39/0.59 (assume @p12 (forall (@list @t19) (or (tptp.p9 tptp.c13 (tptp.f3 @t19) @t19) (not (tptp.p10 @t19 tptp.c12)) (not (tptp.p10 tptp.c11 @t19))))) % 0.39/0.59 (assume @p13 (forall (@list @t23 @t22 @t21 @t20) (or (tptp.p10 @t23 @t22) (not (tptp.p2 @t21 @t23)) (not (tptp.p2 @t20 @t22)) (not (tptp.p10 @t21 @t20))))) % 0.39/0.59 (assume @p14 (forall (@list @t24 @t27 @t26 @t25) (or (tptp.p8 @t24 @t27) (not (tptp.p2 @t26 @t27)) (not (tptp.p8 @t25 @t26)) (not (tptp.p2 @t25 @t24))))) % 0.39/0.59 (assume @p15 @t31) % 0.39/0.59 (assume @p16 (forall (@list @t35 @t33 @t34 @t32) (or (tptp.p2 (tptp.f4 @t35 @t33) (tptp.f4 @t34 @t32)) (not (tptp.p2 @t35 @t34)) (not (tptp.p2 @t33 @t32))))) % 0.39/0.59 (assume @p17 (forall (@list @t37 @t39 @t36 @t38) (or (tptp.p2 (tptp.f7 @t37 @t39) (tptp.f7 @t36 @t38)) (not (tptp.p2 @t39 @t38)) (not (tptp.p6 @t37 @t36))))) % 0.39/0.59 (assume @p18 (forall (@list @t43 @t41 @t42 @t40) (or (tptp.p2 (tptp.f5 @t43 @t41) (tptp.f5 @t42 @t40)) (not (tptp.p2 @t43 @t42)) (not (tptp.p2 @t41 @t40))))) % 0.39/0.59 (assume @p19 (forall (@list @t47 @t49 @t48 @t45 @t44 @t46) (or (tptp.p9 @t47 @t49 @t48) (not (tptp.p2 @t45 @t49)) (not (tptp.p2 @t44 @t48)) (not (tptp.p6 @t46 @t47)) (not (tptp.p9 @t46 @t45 @t44))))) % 0.39/0.59 (assume @p20 (forall (@list @t50) (or (not (tptp.p8 @t50 tptp.c12)) (not (tptp.p8 tptp.c11 @t50)) (not (tptp.p2 @t30 (tptp.f4 @t28 (tptp.f3 @t50))))))) % 0.39/0.59 (step @p21 :rule instantiate :premises (@p10) :args ((@list @t29 @t30 @t30))) % 0.39/0.59 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t30))) % 0.39/0.59 (step @p23 :rule cnf_or_pos :args (@t55)) % 0.39/0.59 (step @p24 :rule reordering :premises (@p23) :args ((or @t53 @t52 @t54 (not @t55)))) % 0.39/0.59 (step @p25 :rule chain_m_resolution :premises (@p24 @p15 @p22 @p21) :args (@t54 @t56 (@list @t31 @t51 @t55))) % 0.39/0.59 (step @p26 :rule instantiate :premises (@p16) :args ((@list @t28 tptp.c15 @t28 @t57))) % 0.39/0.59 (step @p27 :rule instantiate :premises (@p11) :args ((@list tptp.c15 @t57 tptp.c13 tptp.c14))) % 0.39/0.59 (step @p28 :rule instantiate :premises (@p12) :args (@t58)) % 0.39/0.59 (step @p29 :rule instantiate :premises (@p7) :args ((@list tptp.c11 tptp.c14))) % 0.39/0.59 (step @p30 :rule cnf_or_pos :args (@t61)) % 0.39/0.59 (step @p31 :rule reordering :premises (@p30) :args ((or @t59 @t60 (not @t61)))) % 0.39/0.59 (step @p32 :rule chain_m_resolution :premises (@p31 @p5 @p29) :args (@t60 @t62 (@list @t4 @t61))) % 0.39/0.59 (step @p33 :rule instantiate :premises (@p7) :args ((@list tptp.c14 tptp.c12))) % 0.39/0.59 (step @p34 :rule cnf_or_pos :args (@t65)) % 0.39/0.59 (step @p35 :rule reordering :premises (@p34) :args ((or @t63 @t64 (not @t65)))) % 0.39/0.59 (step @p36 :rule chain_m_resolution :premises (@p35 @p3 @p33) :args (@t64 @t62 (@list @t3 @t65))) % 0.39/0.59 (step @p37 :rule cnf_or_pos :args (@t69)) % 0.39/0.59 (step @p38 :rule reordering :premises (@p37) :args ((or @t67 @t66 @t68 (not @t69)))) % 0.39/0.59 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p32 @p28) :args (@t68 @t56 (@list @t64 @t60 @t69))) % 0.39/0.59 (step @p40 :rule cnf_or_pos :args (@t73)) % 0.39/0.59 (step @p41 :rule reordering :premises (@p40) :args ((or @t71 @t70 @t72 (not @t73)))) % 0.39/0.59 (step @p42 :rule chain_m_resolution :premises (@p41 @p6 @p39 @p27) :args (@t72 @t56 (@list @t5 @t68 @t73))) % 0.39/0.59 (step @p43 :rule instantiate :premises (@p1) :args ((@list @t28))) % 0.39/0.59 (step @p44 :rule cnf_or_pos :args (@t79)) % 0.39/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t76 @t74 @t78 (not @t79)))) % 0.39/0.59 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42 @p26) :args (@t78 @t56 (@list @t75 @t72 @t79))) % 0.39/0.59 (step @p47 :rule instantiate :premises (@p10) :args ((@list @t30 @t77 @t77))) % 0.39/0.59 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t77))) % 0.39/0.59 (step @p49 :rule instantiate :premises (@p20) :args (@t58)) % 0.39/0.59 (step @p50 :rule cnf_or_pos :args (@t82)) % 0.39/0.59 (step @p51 :rule reordering :premises (@p50) :args ((or @t63 @t59 @t81 (not @t82)))) % 0.39/0.59 (step @p52 :rule chain_m_resolution :premises (@p51 @p3 @p5 @p49) :args (@t81 @t56 (@list @t3 @t4 @t82))) % 0.39/0.59 (step @p53 :rule cnf_or_pos :args (@t87)) % 0.39/0.59 (step @p54 :rule reordering :premises (@p53) :args ((or @t80 @t84 @t86 (not @t87)))) % 0.39/0.59 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p48 @p47) :args (@t86 @t88 (@list @t80 @t83 @t87))) % 0.39/0.59 (step @p56 :rule cnf_or_pos :args (@t91)) % 0.39/0.59 (step @p57 :rule reordering :premises (@p56) :args ((or @t85 @t90 @t89 @t92))) % 0.39/0.59 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p46 @p25) :args (@t92 @t88 (@list @t85 @t78 @t54))) % 0.39/0.59 (assume-push @p65 @t14) % 0.39/0.59 (step @p60 :rule instantiate :premises (@p10) :args ((@list @t77 @t30 @t29))) % 0.39/0.59 (step-pop @p66 :rule scope :premises (@p60)) % 0.39/0.59 (step @p61 :rule process_scope :premises (@p66) :args (@t91)) % 0.39/0.59 (step @p63 :rule implies_elim :premises (@p61)) % 0.39/0.59 (step @p64 false :rule chain_m_resolution :premises (@p63 @p58 @p10) :args (false (@list true false) (@list @t91 @t14))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------