%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN629-1 : 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 : n026.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 09:09:32 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.79s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYN629-1 : 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 % 0.16/0.35 % Computer : n026.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 23:33:25 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.79 % SZS status Unsatisfiable % 0.53/0.79 % SZS output start Proof % 0.53/0.80 ( % 0.53/0.80 (declare-sort $$unsorted 0) % 0.53/0.80 (declare-const tptp.f15 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.f18 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.f16 (-> $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.p19 (-> $$unsorted $$unsorted Bool)) % 0.53/0.80 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.f14 (-> $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.c23 $$unsorted) % 0.53/0.80 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.53/0.80 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.p9 (-> $$unsorted $$unsorted Bool)) % 0.53/0.80 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.53/0.80 (declare-const tptp.c24 $$unsorted) % 0.53/0.80 (declare-const tptp.c29 $$unsorted) % 0.53/0.80 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.53/0.80 (declare-const tptp.c22 $$unsorted) % 0.53/0.80 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.53/0.80 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 0.53/0.80 (declare-const tptp.c26 $$unsorted) % 0.53/0.80 (declare-const tptp.c28 $$unsorted) % 0.53/0.80 (declare-const tptp.p20 (-> $$unsorted $$unsorted Bool)) % 0.53/0.80 (declare-const tptp.c27 $$unsorted) % 0.53/0.80 (declare-const tptp.c25 $$unsorted) % 0.53/0.80 (define @t1 () (@var "X4" $$unsorted)) % 0.53/0.80 (define @t2 () (@var "X40" $$unsorted)) % 0.53/0.80 (define @t3 () (@var "X33" $$unsorted)) % 0.53/0.80 (define @t4 () (@var "X24" $$unsorted)) % 0.53/0.80 (define @t5 () (@var "X19" $$unsorted)) % 0.53/0.80 (define @t6 () (tptp.p9 tptp.c28 tptp.c26)) % 0.53/0.80 (define @t7 () (tptp.f7 tptp.c23 (tptp.f8 tptp.c24 tptp.c25))) % 0.53/0.80 (define @t8 () (tptp.f4 @t7)) % 0.53/0.80 (define @t9 () (@var "X54" $$unsorted)) % 0.53/0.80 (define @t10 () (@var "X53" $$unsorted)) % 0.53/0.80 (define @t11 () (@var "X23" $$unsorted)) % 0.53/0.80 (define @t12 () (@var "X22" $$unsorted)) % 0.53/0.80 (define @t13 () (@var "X28" $$unsorted)) % 0.53/0.80 (define @t14 () (@var "X27" $$unsorted)) % 0.53/0.80 (define @t15 () (@var "X30" $$unsorted)) % 0.53/0.80 (define @t16 () (@var "X29" $$unsorted)) % 0.53/0.80 (define @t17 () (@var "X32" $$unsorted)) % 0.53/0.80 (define @t18 () (@var "X31" $$unsorted)) % 0.53/0.80 (define @t19 () (@var "X48" $$unsorted)) % 0.53/0.80 (define @t20 () (@var "X47" $$unsorted)) % 0.53/0.80 (define @t21 () (@var "X6" $$unsorted)) % 0.53/0.80 (define @t22 () (@var "X5" $$unsorted)) % 0.53/0.80 (define @t23 () (@var "X42" $$unsorted)) % 0.53/0.80 (define @t24 () (@var "X41" $$unsorted)) % 0.53/0.80 (define @t25 () (@var "X35" $$unsorted)) % 0.53/0.80 (define @t26 () (@var "X34" $$unsorted)) % 0.53/0.80 (define @t27 () (@var "X26" $$unsorted)) % 0.53/0.80 (define @t28 () (@var "X25" $$unsorted)) % 0.53/0.80 (define @t29 () (@var "X21" $$unsorted)) % 0.53/0.80 (define @t30 () (@var "X20" $$unsorted)) % 0.53/0.80 (define @t31 () (@var "X3" $$unsorted)) % 0.53/0.80 (define @t32 () (@var "X2" $$unsorted)) % 0.53/0.80 (define @t33 () (@var "X0" $$unsorted)) % 0.53/0.80 (define @t34 () (@var "X1" $$unsorted)) % 0.53/0.80 (define @t35 () (@var "X18" $$unsorted)) % 0.53/0.80 (define @t36 () (@var "X17" $$unsorted)) % 0.53/0.80 (define @t37 () (@var "X16" $$unsorted)) % 0.53/0.80 (define @t38 () (@var "X15" $$unsorted)) % 0.53/0.80 (define @t39 () (@var "X14" $$unsorted)) % 0.53/0.80 (define @t40 () (@var "X13" $$unsorted)) % 0.53/0.80 (define @t41 () (@var "X12" $$unsorted)) % 0.53/0.80 (define @t42 () (@var "X11" $$unsorted)) % 0.53/0.80 (define @t43 () (forall (@list @t42 @t41 @t40 @t39) (or (tptp.p20 @t42 @t41) (not (tptp.p9 @t40 @t42)) (not (tptp.p9 @t39 @t41)) (not (tptp.p20 @t40 @t39))))) % 0.53/0.80 (define @t44 () (@var "X10" $$unsorted)) % 0.53/0.80 (define @t45 () (@var "X8" $$unsorted)) % 0.53/0.80 (define @t46 () (@var "X9" $$unsorted)) % 0.53/0.80 (define @t47 () (@var "X7" $$unsorted)) % 0.53/0.80 (define @t48 () (@var "X62" $$unsorted)) % 0.53/0.80 (define @t49 () (@var "X60" $$unsorted)) % 0.53/0.80 (define @t50 () (@var "X61" $$unsorted)) % 0.53/0.80 (define @t51 () (@var "X59" $$unsorted)) % 0.53/0.80 (define @t52 () (@var "X58" $$unsorted)) % 0.53/0.80 (define @t53 () (@var "X56" $$unsorted)) % 0.53/0.80 (define @t54 () (@var "X57" $$unsorted)) % 0.53/0.80 (define @t55 () (@var "X55" $$unsorted)) % 0.53/0.80 (define @t56 () (@var "X52" $$unsorted)) % 0.53/0.80 (define @t57 () (@var "X50" $$unsorted)) % 0.53/0.80 (define @t58 () (@var "X51" $$unsorted)) % 0.53/0.80 (define @t59 () (@var "X49" $$unsorted)) % 0.53/0.80 (define @t60 () (@var "X46" $$unsorted)) % 0.53/0.80 (define @t61 () (@var "X44" $$unsorted)) % 0.53/0.80 (define @t62 () (@var "X45" $$unsorted)) % 0.53/0.80 (define @t63 () (@var "X43" $$unsorted)) % 0.53/0.80 (define @t64 () (@var "X39" $$unsorted)) % 0.53/0.80 (define @t65 () (@var "X37" $$unsorted)) % 0.53/0.80 (define @t66 () (@var "X38" $$unsorted)) % 0.53/0.80 (define @t67 () (@var "X36" $$unsorted)) % 0.53/0.80 (define @t68 () (@var "X63" $$unsorted)) % 0.53/0.80 (define @t69 () (tptp.f11 (tptp.f12 (tptp.f13 (tptp.f14 tptp.c29))))) % 0.53/0.80 (define @t70 () (tptp.f15 @t7 tptp.c28)) % 0.53/0.80 (define @t71 () (tptp.f10 @t70 @t69)) % 0.53/0.80 (define @t72 () (tptp.f17 tptp.c28 tptp.c27)) % 0.53/0.80 (define @t73 () (tptp.f16 @t72)) % 0.53/0.80 (define @t74 () (tptp.p20 @t73 @t71)) % 0.53/0.80 (define @t75 () (tptp.f15 @t7 tptp.c26)) % 0.53/0.80 (define @t76 () (tptp.f10 @t75 @t69)) % 0.53/0.80 (define @t77 () (tptp.f17 tptp.c26 tptp.c27)) % 0.53/0.80 (define @t78 () (tptp.f16 @t77)) % 0.53/0.80 (define @t79 () (tptp.p20 @t78 @t76)) % 0.53/0.80 (define @t80 () (not @t6)) % 0.53/0.80 (define @t81 () (tptp.p2 @t7 @t7)) % 0.53/0.80 (define @t82 () (not @t81)) % 0.53/0.80 (define @t83 () (tptp.p9 @t70 @t75)) % 0.53/0.80 (define @t84 () (or @t83 @t82 @t80)) % 0.53/0.80 (define @t85 () (@list false false false)) % 0.53/0.80 (define @t86 () (tptp.p9 @t69 @t69)) % 0.53/0.80 (define @t87 () (not @t86)) % 0.53/0.80 (define @t88 () (not @t83)) % 0.53/0.80 (define @t89 () (tptp.p9 @t71 @t76)) % 0.53/0.80 (define @t90 () (or @t89 @t88 @t87)) % 0.53/0.80 (define @t91 () (tptp.p9 tptp.c27 tptp.c27)) % 0.53/0.80 (define @t92 () (not @t91)) % 0.53/0.80 (define @t93 () (tptp.p9 @t72 @t77)) % 0.53/0.80 (define @t94 () (or @t93 @t80 @t92)) % 0.53/0.80 (define @t95 () (not @t93)) % 0.53/0.80 (define @t96 () (tptp.p9 @t73 @t78)) % 0.53/0.80 (define @t97 () (or @t96 @t95)) % 0.53/0.80 (define @t98 () (not @t74)) % 0.53/0.80 (define @t99 () (not @t89)) % 0.53/0.80 (define @t100 () (not @t96)) % 0.53/0.80 (define @t101 () (or @t79 @t100 @t99 @t98)) % 0.53/0.80 (define @t102 () (not @t101)) % 0.53/0.80 (assume @p1 (forall (@list @t1) (tptp.p2 @t1 @t1))) % 0.53/0.80 (assume @p2 (forall (@list @t2) (tptp.p9 @t2 @t2))) % 0.53/0.80 (assume @p3 (forall (@list @t3) (tptp.p6 @t3 @t3))) % 0.53/0.80 (assume @p4 (forall (@list @t4) (tptp.p5 @t4 @t4))) % 0.53/0.80 (assume @p5 (forall (@list @t5) (tptp.p3 @t5 @t5))) % 0.53/0.80 (assume @p6 @t6) % 0.53/0.80 (assume @p7 (tptp.p20 tptp.c22 tptp.c28)) % 0.53/0.80 (assume @p8 (tptp.p20 tptp.c28 tptp.c26)) % 0.53/0.80 (assume @p9 (tptp.p21 tptp.c26 tptp.c27)) % 0.53/0.80 (assume @p10 (tptp.p19 tptp.c22 @t8)) % 0.53/0.80 (assume @p11 (tptp.p19 tptp.c27 @t8)) % 0.53/0.80 (assume @p12 (tptp.p19 tptp.c26 @t8)) % 0.53/0.80 (assume @p13 (forall (@list @t10 @t9) (or (tptp.p9 (tptp.f16 @t10) (tptp.f16 @t9)) (not (tptp.p9 @t10 @t9))))) % 0.53/0.80 (assume @p14 (forall (@list @t12 @t11) (or (tptp.p3 (tptp.f4 @t12) (tptp.f4 @t11)) (not (tptp.p2 @t12 @t11))))) % 0.53/0.80 (assume @p15 (forall (@list @t14 @t13) (or (tptp.p5 (tptp.f12 @t14) (tptp.f12 @t13)) (not (tptp.p5 @t14 @t13))))) % 0.53/0.80 (assume @p16 (forall (@list @t16 @t15) (or (tptp.p5 (tptp.f13 @t16) (tptp.f13 @t15)) (not (tptp.p5 @t16 @t15))))) % 0.53/0.80 (assume @p17 (forall (@list @t18 @t17) (or (tptp.p5 (tptp.f14 @t18) (tptp.f14 @t17)) (not (tptp.p5 @t18 @t17))))) % 0.53/0.80 (assume @p18 (forall (@list @t20 @t19) (or (tptp.p9 (tptp.f11 @t20) (tptp.f11 @t19)) (not (tptp.p5 @t20 @t19))))) % 0.53/0.80 (assume @p19 (forall (@list @t22 @t21 @t1) (or (tptp.p2 @t22 @t21) (not (tptp.p2 @t1 @t22)) (not (tptp.p2 @t1 @t21))))) % 0.53/0.80 (assume @p20 (forall (@list @t24 @t23 @t2) (or (tptp.p9 @t24 @t23) (not (tptp.p9 @t2 @t24)) (not (tptp.p9 @t2 @t23))))) % 0.53/0.80 (assume @p21 (forall (@list @t26 @t25 @t3) (or (tptp.p6 @t26 @t25) (not (tptp.p6 @t3 @t26)) (not (tptp.p6 @t3 @t25))))) % 0.53/0.80 (assume @p22 (forall (@list @t28 @t27 @t4) (or (tptp.p5 @t28 @t27) (not (tptp.p5 @t4 @t28)) (not (tptp.p5 @t4 @t27))))) % 0.53/0.80 (assume @p23 (forall (@list @t30 @t29 @t5) (or (tptp.p3 @t30 @t29) (not (tptp.p3 @t5 @t30)) (not (tptp.p3 @t5 @t29))))) % 0.53/0.80 (assume @p24 (forall (@list @t33 @t34 @t31 @t32) (or (tptp.p19 @t33 @t34) (not (tptp.p3 @t31 @t34)) (not (tptp.p9 @t32 @t33)) (not (tptp.p19 @t32 @t31))))) % 0.53/0.80 (assume @p25 (forall (@list @t38 @t37 @t36 @t35) (or (tptp.p21 @t38 @t37) (not (tptp.p9 @t36 @t38)) (not (tptp.p9 @t35 @t37)) (not (tptp.p21 @t36 @t35))))) % 0.53/0.80 (assume @p26 @t43) % 0.53/0.80 (assume @p27 (forall (@list @t47 @t45 @t46 @t44) (or (tptp.p2 (tptp.f7 @t47 @t45) (tptp.f7 @t46 @t44)) (not (tptp.p5 @t47 @t46)) (not (tptp.p6 @t45 @t44))))) % 0.53/0.80 (assume @p28 (forall (@list @t51 @t49 @t50 @t48) (or (tptp.p9 (tptp.f18 @t51 @t49) (tptp.f18 @t50 @t48)) (not (tptp.p9 @t51 @t50)) (not (tptp.p9 @t49 @t48))))) % 0.53/0.80 (assume @p29 (forall (@list @t55 @t53 @t54 @t52) (or (tptp.p9 (tptp.f17 @t55 @t53) (tptp.f17 @t54 @t52)) (not (tptp.p9 @t55 @t54)) (not (tptp.p9 @t53 @t52))))) % 0.53/0.80 (assume @p30 (forall (@list @t59 @t57 @t58 @t56) (or (tptp.p9 (tptp.f15 @t59 @t57) (tptp.f15 @t58 @t56)) (not (tptp.p2 @t59 @t58)) (not (tptp.p9 @t57 @t56))))) % 0.53/0.80 (assume @p31 (forall (@list @t63 @t61 @t62 @t60) (or (tptp.p9 (tptp.f10 @t63 @t61) (tptp.f10 @t62 @t60)) (not (tptp.p9 @t63 @t62)) (not (tptp.p9 @t61 @t60))))) % 0.53/0.80 (assume @p32 (forall (@list @t67 @t65 @t66 @t64) (or (tptp.p6 (tptp.f8 @t67 @t65) (tptp.f8 @t66 @t64)) (not (tptp.p5 @t67 @t66)) (not (tptp.p5 @t65 @t64))))) % 0.53/0.80 (assume @p33 (forall (@list @t68) (or (not (tptp.p21 @t68 tptp.c26)) (not (tptp.p21 tptp.c22 @t68)) (not (tptp.p19 @t68 @t8))))) % 0.53/0.80 (assume @p34 @t74) % 0.53/0.80 (assume @p35 (not @t79)) % 0.53/0.80 (assume @p36 (tptp.p20 @t70 (tptp.f18 @t69 @t75))) % 0.53/0.80 (step @p37 :rule instantiate :premises (@p31) :args ((@list @t70 @t69 @t75 @t69))) % 0.53/0.80 (step @p38 :rule instantiate :premises (@p30) :args ((@list @t7 tptp.c28 @t7 tptp.c26))) % 0.53/0.80 (step @p39 :rule instantiate :premises (@p1) :args ((@list @t7))) % 0.53/0.80 (step @p40 :rule cnf_or_pos :args (@t84)) % 0.53/0.80 (step @p41 :rule reordering :premises (@p40) :args ((or @t80 @t82 @t83 (not @t84)))) % 0.53/0.80 (step @p42 :rule chain_m_resolution :premises (@p41 @p6 @p39 @p38) :args (@t83 @t85 (@list @t6 @t81 @t84))) % 0.53/0.80 (step @p43 :rule instantiate :premises (@p2) :args ((@list @t69))) % 0.53/0.80 (step @p44 :rule cnf_or_pos :args (@t90)) % 0.53/0.80 (step @p45 :rule reordering :premises (@p44) :args ((or @t87 @t88 @t89 (not @t90)))) % 0.53/0.80 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42 @p37) :args (@t89 @t85 (@list @t86 @t83 @t90))) % 0.53/0.80 (step @p47 :rule instantiate :premises (@p13) :args ((@list @t72 @t77))) % 0.53/0.80 (step @p48 :rule instantiate :premises (@p29) :args ((@list tptp.c28 tptp.c27 tptp.c26 tptp.c27))) % 0.53/0.80 (step @p49 :rule instantiate :premises (@p2) :args ((@list tptp.c27))) % 0.53/0.80 (step @p50 :rule cnf_or_pos :args (@t94)) % 0.53/0.80 (step @p51 :rule reordering :premises (@p50) :args ((or @t80 @t92 @t93 (not @t94)))) % 0.53/0.80 (step @p52 :rule chain_m_resolution :premises (@p51 @p6 @p49 @p48) :args (@t93 @t85 (@list @t6 @t91 @t94))) % 0.53/0.80 (step @p53 :rule cnf_or_pos :args (@t97)) % 0.53/0.80 (step @p54 :rule reordering :premises (@p53) :args ((or @t96 @t95 (not @t97)))) % 0.53/0.80 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p47) :args (@t96 (@list false false) (@list @t93 @t97))) % 0.53/0.80 (step @p56 :rule cnf_or_pos :args (@t101)) % 0.53/0.80 (step @p57 :rule reordering :premises (@p56) :args ((or @t79 @t98 @t100 @t99 @t102))) % 0.53/0.80 (step @p58 :rule chain_m_resolution :premises (@p57 @p35 @p34 @p55 @p46) :args (@t102 (@list true false false false) (@list @t79 @t74 @t96 @t89))) % 0.53/0.80 (assume-push @p65 @t43) % 0.53/0.80 (step @p60 :rule instantiate :premises (@p26) :args ((@list @t78 @t76 @t73 @t71))) % 0.53/0.80 (step-pop @p66 :rule scope :premises (@p60)) % 0.53/0.80 (step @p61 :rule process_scope :premises (@p66) :args (@t101)) % 0.53/0.80 (step @p63 :rule implies_elim :premises (@p61)) % 0.53/0.80 (step @p64 false :rule chain_m_resolution :premises (@p63 @p58 @p26) :args (false (@list true false) (@list @t101 @t43))) % 0.53/0.80 ) % 0.36/0.80 % SZS output end Proof % 0.36/0.80 % cvc5 exiting %------------------------------------------------------------------------------