%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN641-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 09:09:33 AM UTC 2026 % Result : Unsatisfiable 0.63s 0.83s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN641-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n023.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:33:58 EDT 2026 % 0.15/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.83 % SZS status Unsatisfiable % 0.63/0.83 % SZS output start Proof % 0.63/0.83 ( % 0.63/0.83 (declare-sort $$unsorted 0) % 0.63/0.83 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.c20 $$unsorted) % 0.63/0.83 (declare-const tptp.p17 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.p16 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.c19 $$unsorted) % 0.63/0.83 (declare-const tptp.c18 $$unsorted) % 0.63/0.83 (declare-const tptp.p15 (-> $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.p11 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.p12 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.f8 (-> $$unsorted $$unsorted)) % 0.63/0.83 (define @t1 () (tptp.f3 tptp.c19)) % 0.63/0.83 (define @t2 () (tptp.p15 @t1)) % 0.63/0.83 (define @t3 () (tptp.f3 tptp.c18)) % 0.63/0.83 (define @t4 () (tptp.p15 @t3)) % 0.63/0.83 (define @t5 () (@var "X0" $$unsorted)) % 0.63/0.83 (define @t6 () (@var "X45" $$unsorted)) % 0.63/0.83 (define @t7 () (@var "X36" $$unsorted)) % 0.63/0.83 (define @t8 () (@var "X27" $$unsorted)) % 0.63/0.83 (define @t9 () (@var "X18" $$unsorted)) % 0.63/0.83 (define @t10 () (@var "X3" $$unsorted)) % 0.63/0.83 (define @t11 () (tptp.f7 tptp.c18)) % 0.63/0.83 (define @t12 () (tptp.f7 @t3)) % 0.63/0.83 (define @t13 () (tptp.p6 @t12 @t11)) % 0.63/0.83 (define @t14 () (tptp.f7 tptp.c19)) % 0.63/0.83 (define @t15 () (tptp.f7 @t1)) % 0.63/0.83 (define @t16 () (tptp.p6 @t15 @t14)) % 0.63/0.83 (define @t17 () (@var "X16" $$unsorted)) % 0.63/0.83 (define @t18 () (@var "X17" $$unsorted)) % 0.63/0.83 (define @t19 () (@var "X7" $$unsorted)) % 0.63/0.83 (define @t20 () (@var "X6" $$unsorted)) % 0.63/0.83 (define @t21 () (@var "X51" $$unsorted)) % 0.63/0.83 (define @t22 () (@var "X50" $$unsorted)) % 0.63/0.83 (define @t23 () (@var "X49" $$unsorted)) % 0.63/0.83 (define @t24 () (@var "X48" $$unsorted)) % 0.63/0.83 (define @t25 () (@var "X44" $$unsorted)) % 0.63/0.83 (define @t26 () (@var "X43" $$unsorted)) % 0.63/0.83 (define @t27 () (@var "X35" $$unsorted)) % 0.63/0.83 (define @t28 () (@var "X34" $$unsorted)) % 0.63/0.83 (define @t29 () (@var "X15" $$unsorted)) % 0.63/0.83 (define @t30 () (not (tptp.p15 @t29))) % 0.63/0.83 (define @t31 () (@var "X14" $$unsorted)) % 0.63/0.83 (define @t32 () (not (tptp.p15 @t31))) % 0.63/0.83 (define @t33 () (tptp.f10 @t31 @t29)) % 0.63/0.83 (define @t34 () (@list @t31 @t29)) % 0.63/0.83 (define @t35 () (@var "X2" $$unsorted)) % 0.63/0.83 (define @t36 () (@var "X1" $$unsorted)) % 0.63/0.83 (define @t37 () (@var "X47" $$unsorted)) % 0.63/0.83 (define @t38 () (@var "X46" $$unsorted)) % 0.63/0.83 (define @t39 () (forall (@list @t38 @t37 @t6) (or (tptp.p6 @t38 @t37) (not (tptp.p6 @t6 @t38)) (not (tptp.p6 @t6 @t37))))) % 0.63/0.83 (define @t40 () (@var "X38" $$unsorted)) % 0.63/0.83 (define @t41 () (@var "X37" $$unsorted)) % 0.63/0.83 (define @t42 () (@var "X29" $$unsorted)) % 0.63/0.83 (define @t43 () (@var "X28" $$unsorted)) % 0.63/0.83 (define @t44 () (@var "X20" $$unsorted)) % 0.63/0.83 (define @t45 () (@var "X19" $$unsorted)) % 0.63/0.83 (define @t46 () (@var "X5" $$unsorted)) % 0.63/0.83 (define @t47 () (@var "X4" $$unsorted)) % 0.63/0.83 (define @t48 () (tptp.f9 @t14 @t11)) % 0.63/0.83 (define @t49 () (tptp.f10 @t1 @t3)) % 0.63/0.83 (define @t50 () (tptp.f7 @t49)) % 0.63/0.83 (define @t51 () (tptp.p6 @t50 @t48)) % 0.63/0.83 (define @t52 () (@var "X9" $$unsorted)) % 0.63/0.83 (define @t53 () (@var "X8" $$unsorted)) % 0.63/0.83 (define @t54 () (tptp.p17 @t53 @t52 @t1)) % 0.63/0.83 (define @t55 () (tptp.p17 @t53 @t52 tptp.c19)) % 0.63/0.83 (define @t56 () (tptp.p12 (tptp.f13 @t53) tptp.c20)) % 0.63/0.83 (define @t57 () (@list @t53 @t52)) % 0.63/0.83 (define @t58 () (@var "X11" $$unsorted)) % 0.63/0.83 (define @t59 () (@var "X10" $$unsorted)) % 0.63/0.83 (define @t60 () (tptp.p17 @t59 @t58 @t3)) % 0.63/0.83 (define @t61 () (tptp.p17 @t59 @t58 tptp.c18)) % 0.63/0.83 (define @t62 () (tptp.p12 (tptp.f13 @t59) tptp.c20)) % 0.63/0.83 (define @t63 () (@list @t59 @t58)) % 0.63/0.83 (define @t64 () (@var "X54" $$unsorted)) % 0.63/0.83 (define @t65 () (@var "X52" $$unsorted)) % 0.63/0.83 (define @t66 () (@var "X55" $$unsorted)) % 0.63/0.83 (define @t67 () (@var "X53" $$unsorted)) % 0.63/0.83 (define @t68 () (@var "X33" $$unsorted)) % 0.63/0.83 (define @t69 () (@var "X31" $$unsorted)) % 0.63/0.83 (define @t70 () (@var "X32" $$unsorted)) % 0.63/0.83 (define @t71 () (@var "X30" $$unsorted)) % 0.63/0.83 (define @t72 () (@var "X42" $$unsorted)) % 0.63/0.83 (define @t73 () (@var "X40" $$unsorted)) % 0.63/0.83 (define @t74 () (@var "X41" $$unsorted)) % 0.63/0.83 (define @t75 () (@var "X39" $$unsorted)) % 0.63/0.83 (define @t76 () (@var "X26" $$unsorted)) % 0.63/0.83 (define @t77 () (@var "X25" $$unsorted)) % 0.63/0.83 (define @t78 () (@var "X24" $$unsorted)) % 0.63/0.83 (define @t79 () (@var "X21" $$unsorted)) % 0.63/0.83 (define @t80 () (@var "X22" $$unsorted)) % 0.63/0.83 (define @t81 () (@var "X23" $$unsorted)) % 0.63/0.83 (define @t82 () (@var "X13" $$unsorted)) % 0.63/0.83 (define @t83 () (@var "X12" $$unsorted)) % 0.63/0.83 (define @t84 () (tptp.p17 @t83 @t82 @t33)) % 0.63/0.83 (define @t85 () (tptp.p17 @t83 @t82 @t31)) % 0.63/0.83 (define @t86 () (tptp.p12 (tptp.f13 @t83) tptp.c20)) % 0.63/0.83 (define @t87 () (@list @t83 @t82 @t31 @t29)) % 0.63/0.83 (define @t88 () (tptp.p17 @t83 @t82 @t29)) % 0.63/0.83 (define @t89 () (tptp.f9 @t15 @t12)) % 0.63/0.83 (define @t90 () (tptp.p2 @t49 @t49)) % 0.63/0.83 (define @t91 () (not @t90)) % 0.63/0.83 (define @t92 () (tptp.p6 @t50 @t50)) % 0.63/0.83 (define @t93 () (or @t92 @t91)) % 0.63/0.83 (define @t94 () (not @t4)) % 0.63/0.83 (define @t95 () (not @t2)) % 0.63/0.83 (define @t96 () (tptp.p6 @t50 @t89)) % 0.63/0.83 (define @t97 () (or @t96 @t95 @t94)) % 0.63/0.83 (define @t98 () (@list false false false)) % 0.63/0.83 (define @t99 () (not @t92)) % 0.63/0.83 (define @t100 () (not @t96)) % 0.63/0.83 (define @t101 () (tptp.p6 @t89 @t50)) % 0.63/0.83 (define @t102 () (or @t101 @t100 @t99)) % 0.63/0.83 (define @t103 () (not @t16)) % 0.63/0.83 (define @t104 () (not @t13)) % 0.63/0.83 (define @t105 () (tptp.p6 @t89 @t48)) % 0.63/0.83 (define @t106 () (or @t105 @t104 @t103)) % 0.63/0.83 (define @t107 () (not @t105)) % 0.63/0.83 (define @t108 () (not @t101)) % 0.63/0.83 (define @t109 () (or @t51 @t108 @t107)) % 0.63/0.83 (define @t110 () (not @t109)) % 0.63/0.83 (assume @p1 @t2) % 0.63/0.83 (assume @p2 @t4) % 0.63/0.83 (assume @p3 (forall (@list @t5) (tptp.p11 @t5 @t5))) % 0.63/0.83 (assume @p4 (forall (@list @t6) (tptp.p6 @t6 @t6))) % 0.63/0.83 (assume @p5 (forall (@list @t7) (tptp.p4 @t7 @t7))) % 0.63/0.83 (assume @p6 (forall (@list @t8) (tptp.p2 @t8 @t8))) % 0.63/0.83 (assume @p7 (forall (@list @t9) (tptp.p16 @t9 @t9))) % 0.63/0.83 (assume @p8 (forall (@list @t10) (tptp.p12 @t10 @t10))) % 0.63/0.83 (assume @p9 (tptp.p6 (tptp.f8 @t1) (tptp.f8 tptp.c19))) % 0.63/0.83 (assume @p10 (tptp.p4 (tptp.f5 @t3) (tptp.f5 tptp.c18))) % 0.63/0.83 (assume @p11 (tptp.p4 (tptp.f5 @t1) (tptp.f5 tptp.c19))) % 0.63/0.83 (assume @p12 @t13) % 0.63/0.83 (assume @p13 @t16) % 0.63/0.83 (assume @p14 (tptp.p6 (tptp.f8 @t3) (tptp.f8 tptp.c18))) % 0.63/0.83 (assume @p15 (forall (@list @t17 @t18) (or (tptp.p15 @t17) (not (tptp.p15 @t18)) (not (tptp.p2 @t18 @t17))))) % 0.63/0.83 (assume @p16 (forall (@list @t20 @t19) (or (tptp.p12 (tptp.f13 @t20) (tptp.f13 @t19)) (not (tptp.p11 @t20 @t19))))) % 0.63/0.83 (assume @p17 (forall (@list @t22 @t21) (or (tptp.p6 (tptp.f8 @t22) (tptp.f8 @t21)) (not (tptp.p2 @t22 @t21))))) % 0.63/0.83 (assume @p18 (forall (@list @t24 @t23) (or (tptp.p6 (tptp.f7 @t24) (tptp.f7 @t23)) (not (tptp.p2 @t24 @t23))))) % 0.63/0.83 (assume @p19 (forall (@list @t26 @t25) (or (tptp.p4 (tptp.f5 @t26) (tptp.f5 @t25)) (not (tptp.p2 @t26 @t25))))) % 0.63/0.83 (assume @p20 (forall (@list @t28 @t27) (or (tptp.p2 (tptp.f3 @t28) (tptp.f3 @t27)) (not (tptp.p2 @t28 @t27))))) % 0.63/0.83 (assume @p21 (forall @t34 (or (tptp.p15 @t33) @t32 @t30))) % 0.63/0.83 (assume @p22 (forall (@list @t36 @t35 @t5) (or (tptp.p11 @t36 @t35) (not (tptp.p11 @t5 @t36)) (not (tptp.p11 @t5 @t35))))) % 0.63/0.83 (assume @p23 @t39) % 0.63/0.83 (assume @p24 (forall (@list @t41 @t40 @t7) (or (tptp.p4 @t41 @t40) (not (tptp.p4 @t7 @t41)) (not (tptp.p4 @t7 @t40))))) % 0.63/0.83 (assume @p25 (forall (@list @t43 @t42 @t8) (or (tptp.p2 @t43 @t42) (not (tptp.p2 @t8 @t43)) (not (tptp.p2 @t8 @t42))))) % 0.63/0.83 (assume @p26 (forall (@list @t45 @t44 @t9) (or (tptp.p16 @t45 @t44) (not (tptp.p16 @t9 @t45)) (not (tptp.p16 @t9 @t44))))) % 0.63/0.83 (assume @p27 (forall (@list @t47 @t46 @t10) (or (tptp.p12 @t47 @t46) (not (tptp.p12 @t10 @t47)) (not (tptp.p12 @t10 @t46))))) % 0.63/0.83 (assume @p28 (not @t51)) % 0.63/0.83 (assume @p29 (forall @t57 (or @t56 @t55 (not @t54)))) % 0.63/0.83 (assume @p30 (forall @t63 (or @t62 @t61 (not @t60)))) % 0.63/0.83 (assume @p31 (forall @t57 (or @t56 @t54 (not @t55)))) % 0.63/0.83 (assume @p32 (forall @t63 (or @t62 @t60 (not @t61)))) % 0.63/0.83 (assume @p33 (forall (@list @t65 @t67 @t64 @t66) (or (tptp.p6 (tptp.f9 @t65 @t67) (tptp.f9 @t64 @t66)) (not (tptp.p6 @t67 @t66)) (not (tptp.p6 @t65 @t64))))) % 0.63/0.83 (assume @p34 (forall (@list @t71 @t69 @t70 @t68) (or (tptp.p2 (tptp.f10 @t71 @t69) (tptp.f10 @t70 @t68)) (not (tptp.p2 @t71 @t70)) (not (tptp.p2 @t69 @t68))))) % 0.63/0.83 (assume @p35 (forall (@list @t75 @t73 @t74 @t72) (or (tptp.p4 (tptp.f14 @t75 @t73) (tptp.f14 @t74 @t72)) (not (tptp.p4 @t75 @t74)) (not (tptp.p4 @t73 @t72))))) % 0.63/0.83 (assume @p36 (forall @t34 (or (tptp.p6 (tptp.f8 @t33) (tptp.f9 (tptp.f8 @t31) (tptp.f8 @t29))) @t32 @t30))) % 0.63/0.83 (assume @p37 (forall @t34 (or (tptp.p4 (tptp.f5 @t33) (tptp.f14 (tptp.f5 @t31) (tptp.f5 @t29))) @t32 @t30))) % 0.63/0.83 (assume @p38 (forall @t34 (or (tptp.p6 (tptp.f7 @t33) (tptp.f9 (tptp.f7 @t31) (tptp.f7 @t29))) @t32 @t30))) % 0.63/0.83 (assume @p39 (forall (@list @t79 @t80 @t81 @t76 @t77 @t78) (or (tptp.p17 @t79 @t80 @t81) (not (tptp.p2 @t76 @t81)) (not (tptp.p16 @t77 @t80)) (not (tptp.p11 @t78 @t79)) (not (tptp.p17 @t78 @t77 @t76))))) % 0.63/0.83 (assume @p40 (forall @t87 (or @t86 @t85 @t84 @t32 @t30))) % 0.63/0.83 (assume @p41 (forall @t87 (or @t86 @t84 @t32 @t30 (not @t88)))) % 0.63/0.83 (assume @p42 (forall (@list @t83 @t82 @t29 @t31) (or @t86 @t88 @t32 @t30 (not @t85) (not @t84)))) % 0.63/0.83 (step @p43 :rule instantiate :premises (@p23) :args ((@list @t89 @t50 @t50))) % 0.63/0.83 (step @p44 :rule instantiate :premises (@p18) :args ((@list @t49 @t49))) % 0.63/0.83 (step @p45 :rule instantiate :premises (@p6) :args ((@list @t49))) % 0.63/0.83 (step @p46 :rule cnf_or_pos :args (@t93)) % 0.63/0.83 (step @p47 :rule reordering :premises (@p46) :args ((or @t91 @t92 (not @t93)))) % 0.63/0.83 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44) :args (@t92 (@list false false) (@list @t90 @t93))) % 0.63/0.83 (step @p49 :rule instantiate :premises (@p38) :args ((@list @t1 @t3))) % 0.63/0.83 (step @p50 :rule cnf_or_pos :args (@t97)) % 0.63/0.83 (step @p51 :rule reordering :premises (@p50) :args ((or @t95 @t94 @t96 (not @t97)))) % 0.63/0.83 (step @p52 :rule chain_m_resolution :premises (@p51 @p1 @p2 @p49) :args (@t96 @t98 (@list @t2 @t4 @t97))) % 0.63/0.83 (step @p53 :rule cnf_or_pos :args (@t102)) % 0.63/0.83 (step @p54 :rule reordering :premises (@p53) :args ((or @t100 @t99 @t101 (not @t102)))) % 0.63/0.83 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p48 @p43) :args (@t101 @t98 (@list @t96 @t92 @t102))) % 0.63/0.83 (step @p56 :rule instantiate :premises (@p33) :args ((@list @t15 @t12 @t14 @t11))) % 0.63/0.83 (step @p57 :rule cnf_or_pos :args (@t106)) % 0.63/0.83 (step @p58 :rule reordering :premises (@p57) :args ((or @t104 @t103 @t105 (not @t106)))) % 0.63/0.83 (step @p59 :rule chain_m_resolution :premises (@p58 @p12 @p13 @p56) :args (@t105 @t98 (@list @t13 @t16 @t106))) % 0.63/0.83 (step @p60 :rule cnf_or_pos :args (@t109)) % 0.63/0.83 (step @p61 :rule reordering :premises (@p60) :args ((or @t51 @t107 @t108 @t110))) % 0.63/0.83 (step @p62 :rule chain_m_resolution :premises (@p61 @p28 @p59 @p55) :args (@t110 (@list true false false) (@list @t51 @t105 @t101))) % 0.63/0.83 (assume-push @p69 @t39) % 0.63/0.83 (step @p64 :rule instantiate :premises (@p23) :args ((@list @t50 @t48 @t89))) % 0.63/0.83 (step-pop @p70 :rule scope :premises (@p64)) % 0.63/0.83 (step @p65 :rule process_scope :premises (@p70) :args (@t109)) % 0.63/0.83 (step @p67 :rule implies_elim :premises (@p65)) % 0.63/0.83 (step @p68 false :rule chain_m_resolution :premises (@p67 @p62 @p23) :args (false (@list true false) (@list @t109 @t39))) % 0.63/0.83 ) % 0.63/0.83 % SZS output end Proof % 0.63/0.83 % cvc5 exiting %------------------------------------------------------------------------------