%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN602-1 : 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 : n010.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 09:09:28 AM UTC 2026 % Result : Unsatisfiable 0.47s 0.69s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN602-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:32:25 EDT 2026 % 0.17/0.35 % 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... % 0.47/0.69 % SZS status Unsatisfiable % 0.47/0.69 % SZS output start Proof % 0.47/0.69 ( % 0.47/0.69 (declare-sort $$unsorted 0) % 0.47/0.69 (declare-const tptp.p12 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.69 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.c20 $$unsorted) % 0.47/0.69 (declare-const tptp.p14 (-> $$unsorted Bool)) % 0.47/0.69 (declare-const tptp.c23 $$unsorted) % 0.47/0.69 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.47/0.69 (declare-const tptp.c19 $$unsorted) % 0.47/0.69 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.c21 $$unsorted) % 0.47/0.69 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.c22 $$unsorted) % 0.47/0.69 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.f10 (-> $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 0.47/0.69 (declare-const tptp.c16 $$unsorted) % 0.47/0.69 (declare-const tptp.p13 (-> $$unsorted $$unsorted Bool)) % 0.47/0.69 (declare-const tptp.c18 $$unsorted) % 0.47/0.69 (declare-const tptp.c17 $$unsorted) % 0.47/0.69 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.47/0.69 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.69 (define @t1 () (@var "X18" $$unsorted)) % 0.47/0.69 (define @t2 () (tptp.p15 tptp.c22 tptp.c21)) % 0.47/0.69 (define @t3 () (tptp.f3 tptp.c18)) % 0.47/0.69 (define @t4 () (tptp.p2 @t3 tptp.c19)) % 0.47/0.69 (define @t5 () (tptp.p2 tptp.c22 (tptp.f9 tptp.c20 tptp.c23))) % 0.47/0.69 (define @t6 () (@var "X11" $$unsorted)) % 0.47/0.69 (define @t7 () (@var "X12" $$unsorted)) % 0.47/0.69 (define @t8 () (tptp.f5 tptp.c18)) % 0.47/0.69 (define @t9 () (@var "X17" $$unsorted)) % 0.47/0.69 (define @t10 () (not (tptp.p13 @t9 @t8))) % 0.47/0.69 (define @t11 () (tptp.f10 @t9)) % 0.47/0.69 (define @t12 () (@list @t9)) % 0.47/0.69 (define @t13 () (@var "X36" $$unsorted)) % 0.47/0.69 (define @t14 () (@var "X35" $$unsorted)) % 0.47/0.69 (define @t15 () (@var "X28" $$unsorted)) % 0.47/0.69 (define @t16 () (@var "X27" $$unsorted)) % 0.47/0.69 (define @t17 () (@var "X30" $$unsorted)) % 0.47/0.69 (define @t18 () (@var "X29" $$unsorted)) % 0.47/0.69 (define @t19 () (@var "X32" $$unsorted)) % 0.47/0.69 (define @t20 () (@var "X31" $$unsorted)) % 0.47/0.69 (define @t21 () (@var "X34" $$unsorted)) % 0.47/0.69 (define @t22 () (@var "X33" $$unsorted)) % 0.47/0.69 (define @t23 () (@var "X20" $$unsorted)) % 0.47/0.69 (define @t24 () (@var "X19" $$unsorted)) % 0.47/0.69 (define @t25 () (forall (@list @t24 @t23 @t1) (or (tptp.p2 @t24 @t23) (not (tptp.p2 @t1 @t24)) (not (tptp.p2 @t1 @t23))))) % 0.47/0.69 (define @t26 () (@var "X6" $$unsorted)) % 0.47/0.69 (define @t27 () (tptp.f6 @t8 @t3)) % 0.47/0.69 (define @t28 () (tptp.f7 (tptp.f8 tptp.c21 tptp.c22) tptp.c20)) % 0.47/0.69 (define @t29 () (tptp.p2 @t28 @t27)) % 0.47/0.69 (define @t30 () (@var "X10" $$unsorted)) % 0.47/0.69 (define @t31 () (@var "X9" $$unsorted)) % 0.47/0.69 (define @t32 () (@var "X8" $$unsorted)) % 0.47/0.69 (define @t33 () (@var "X7" $$unsorted)) % 0.47/0.69 (define @t34 () (@var "X16" $$unsorted)) % 0.47/0.69 (define @t35 () (@var "X15" $$unsorted)) % 0.47/0.69 (define @t36 () (@var "X14" $$unsorted)) % 0.47/0.69 (define @t37 () (@var "X13" $$unsorted)) % 0.47/0.69 (define @t38 () (@var "X52" $$unsorted)) % 0.47/0.69 (define @t39 () (@var "X50" $$unsorted)) % 0.47/0.69 (define @t40 () (@var "X51" $$unsorted)) % 0.47/0.69 (define @t41 () (@var "X49" $$unsorted)) % 0.47/0.69 (define @t42 () (@var "X40" $$unsorted)) % 0.47/0.69 (define @t43 () (@var "X38" $$unsorted)) % 0.47/0.69 (define @t44 () (@var "X39" $$unsorted)) % 0.47/0.69 (define @t45 () (@var "X37" $$unsorted)) % 0.47/0.69 (define @t46 () (@var "X44" $$unsorted)) % 0.47/0.69 (define @t47 () (@var "X42" $$unsorted)) % 0.47/0.69 (define @t48 () (@var "X43" $$unsorted)) % 0.47/0.69 (define @t49 () (@var "X41" $$unsorted)) % 0.47/0.69 (define @t50 () (@var "X48" $$unsorted)) % 0.47/0.69 (define @t51 () (@var "X46" $$unsorted)) % 0.47/0.69 (define @t52 () (@var "X47" $$unsorted)) % 0.47/0.69 (define @t53 () (@var "X45" $$unsorted)) % 0.47/0.69 (define @t54 () (tptp.f3 @t9)) % 0.47/0.69 (define @t55 () (tptp.f5 @t9)) % 0.47/0.69 (define @t56 () (@var "X5" $$unsorted)) % 0.47/0.69 (define @t57 () (@var "X4" $$unsorted)) % 0.47/0.69 (define @t58 () (@var "X3" $$unsorted)) % 0.47/0.69 (define @t59 () (@var "X0" $$unsorted)) % 0.47/0.69 (define @t60 () (@var "X1" $$unsorted)) % 0.47/0.69 (define @t61 () (@var "X2" $$unsorted)) % 0.47/0.69 (define @t62 () (tptp.f6 @t8 tptp.c19)) % 0.47/0.69 (define @t63 () (@var "X53" $$unsorted)) % 0.47/0.69 (define @t64 () (@var "X54" $$unsorted)) % 0.47/0.69 (define @t65 () (@var "X23" $$unsorted)) % 0.47/0.69 (define @t66 () (@var "X21" $$unsorted)) % 0.47/0.69 (define @t67 () (not (tptp.p2 (tptp.f7 (tptp.f8 tptp.c21 @t66) tptp.c20) (tptp.f6 @t8 @t65)))) % 0.47/0.69 (define @t68 () (@var "X22" $$unsorted)) % 0.47/0.69 (define @t69 () (not (tptp.p2 @t66 (tptp.f9 tptp.c20 @t68)))) % 0.47/0.69 (define @t70 () (not (tptp.p15 @t66 tptp.c21))) % 0.47/0.69 (define @t71 () (@var "X26" $$unsorted)) % 0.47/0.69 (define @t72 () (@var "X24" $$unsorted)) % 0.47/0.69 (define @t73 () (not (tptp.p2 (tptp.f7 (tptp.f8 tptp.c21 @t72) tptp.c20) (tptp.f6 @t55 @t71)))) % 0.47/0.69 (define @t74 () (@var "X25" $$unsorted)) % 0.47/0.69 (define @t75 () (not (tptp.p2 @t72 (tptp.f9 tptp.c20 @t74)))) % 0.47/0.69 (define @t76 () (not (tptp.p15 @t72 tptp.c21))) % 0.47/0.69 (define @t77 () (not @t4)) % 0.47/0.69 (define @t78 () (tptp.p2 @t8 @t8)) % 0.47/0.69 (define @t79 () (not @t78)) % 0.47/0.69 (define @t80 () (tptp.p2 @t27 @t62)) % 0.47/0.69 (define @t81 () (or @t80 @t79 @t77)) % 0.47/0.69 (define @t82 () (@list false false false)) % 0.47/0.69 (define @t83 () (tptp.p2 @t28 @t28)) % 0.47/0.69 (define @t84 () (not @t83)) % 0.47/0.69 (define @t85 () (not @t29)) % 0.47/0.69 (define @t86 () (tptp.p2 @t27 @t28)) % 0.47/0.69 (define @t87 () (or @t86 @t85 @t84)) % 0.47/0.69 (define @t88 () (tptp.p2 @t28 @t62)) % 0.47/0.69 (define @t89 () (not @t88)) % 0.47/0.69 (define @t90 () (not @t5)) % 0.47/0.69 (define @t91 () (not @t2)) % 0.47/0.69 (define @t92 () (or @t91 @t90 @t89)) % 0.47/0.69 (define @t93 () (not @t80)) % 0.47/0.69 (define @t94 () (not @t86)) % 0.47/0.69 (define @t95 () (or @t88 @t94 @t93)) % 0.47/0.69 (define @t96 () (not @t95)) % 0.47/0.69 (assume @p1 (tptp.p14 tptp.c20)) % 0.47/0.69 (assume @p2 (forall (@list @t1) (tptp.p2 @t1 @t1))) % 0.47/0.69 (assume @p3 @t2) % 0.47/0.69 (assume @p4 @t4) % 0.47/0.69 (assume @p5 @t5) % 0.47/0.69 (assume @p6 (tptp.p2 (tptp.f3 (tptp.f4 tptp.c16)) tptp.c17)) % 0.47/0.69 (assume @p7 (forall (@list @t6 @t7) (or (tptp.p14 @t6) (not (tptp.p14 @t7)) (not (tptp.p2 @t7 @t6))))) % 0.47/0.69 (assume @p8 (forall @t12 (or (tptp.p15 @t11 tptp.c21) @t10))) % 0.47/0.69 (assume @p9 (forall (@list @t14 @t13) (or (tptp.p2 (tptp.f5 @t14) (tptp.f5 @t13)) (not (tptp.p2 @t14 @t13))))) % 0.47/0.69 (assume @p10 (forall (@list @t16 @t15) (or (tptp.p2 (tptp.f10 @t16) (tptp.f10 @t15)) (not (tptp.p2 @t16 @t15))))) % 0.47/0.69 (assume @p11 (forall (@list @t18 @t17) (or (tptp.p2 (tptp.f11 @t18) (tptp.f11 @t17)) (not (tptp.p2 @t18 @t17))))) % 0.47/0.69 (assume @p12 (forall (@list @t20 @t19) (or (tptp.p2 (tptp.f3 @t20) (tptp.f3 @t19)) (not (tptp.p2 @t20 @t19))))) % 0.47/0.69 (assume @p13 (forall (@list @t22 @t21) (or (tptp.p2 (tptp.f4 @t22) (tptp.f4 @t21)) (not (tptp.p2 @t22 @t21))))) % 0.47/0.69 (assume @p14 @t25) % 0.47/0.69 (assume @p15 (forall (@list @t26) (or (tptp.p12 @t26 (tptp.f3 @t26) (tptp.f3 (tptp.f5 @t26))) (not (tptp.p13 @t26 tptp.c18))))) % 0.47/0.69 (assume @p16 @t29) % 0.47/0.69 (assume @p17 (forall @t12 (or (tptp.p2 @t11 (tptp.f9 tptp.c20 (tptp.f11 @t9))) @t10))) % 0.47/0.69 (assume @p18 (forall (@list @t33 @t32 @t31 @t30) (or (tptp.p13 @t33 @t32) (not (tptp.p2 @t31 @t33)) (not (tptp.p2 @t30 @t32)) (not (tptp.p13 @t31 @t30))))) % 0.47/0.69 (assume @p19 (forall (@list @t37 @t36 @t35 @t34) (or (tptp.p15 @t37 @t36) (not (tptp.p2 @t35 @t37)) (not (tptp.p2 @t34 @t36)) (not (tptp.p15 @t35 @t34))))) % 0.47/0.69 (assume @p20 (forall (@list @t41 @t39 @t40 @t38) (or (tptp.p2 (tptp.f9 @t41 @t39) (tptp.f9 @t40 @t38)) (not (tptp.p2 @t41 @t40)) (not (tptp.p2 @t39 @t38))))) % 0.47/0.69 (assume @p21 (forall (@list @t45 @t43 @t44 @t42) (or (tptp.p2 (tptp.f6 @t45 @t43) (tptp.f6 @t44 @t42)) (not (tptp.p2 @t45 @t44)) (not (tptp.p2 @t43 @t42))))) % 0.47/0.69 (assume @p22 (forall (@list @t49 @t47 @t48 @t46) (or (tptp.p2 (tptp.f7 @t49 @t47) (tptp.f7 @t48 @t46)) (not (tptp.p2 @t49 @t48)) (not (tptp.p2 @t47 @t46))))) % 0.47/0.69 (assume @p23 (forall (@list @t53 @t51 @t52 @t50) (or (tptp.p2 (tptp.f8 @t53 @t51) (tptp.f8 @t52 @t50)) (not (tptp.p2 @t53 @t52)) (not (tptp.p2 @t51 @t50))))) % 0.47/0.69 (assume @p24 (forall @t12 (or (tptp.p2 (tptp.f7 (tptp.f8 tptp.c21 @t11) tptp.c20) (tptp.f6 @t55 @t54)) @t10))) % 0.47/0.69 (assume @p25 (forall (@list @t59 @t60 @t61 @t56 @t57 @t58) (or (tptp.p12 @t59 @t60 @t61) (not (tptp.p2 @t56 @t61)) (not (tptp.p2 @t57 @t60)) (not (tptp.p2 @t58 @t59)) (not (tptp.p12 @t58 @t57 @t56))))) % 0.47/0.69 (assume @p26 (forall (@list @t63 @t64) (or (not (tptp.p15 @t63 tptp.c21)) (not (tptp.p2 @t63 (tptp.f9 tptp.c20 @t64))) (not (tptp.p2 (tptp.f7 (tptp.f8 tptp.c21 @t63) tptp.c20) @t62))))) % 0.47/0.69 (assume @p27 (forall (@list @t66 @t68 @t65) (or (tptp.p2 @t66 tptp.c22) @t70 @t69 @t67))) % 0.47/0.69 (assume @p28 (forall (@list @t65 @t66 @t68) (or (tptp.p2 @t65 @t3) @t70 @t69 @t67))) % 0.47/0.69 (assume @p29 (forall (@list @t71 @t9 @t72 @t74) (or (tptp.p2 @t71 @t54) @t76 @t10 @t75 @t73))) % 0.47/0.69 (assume @p30 (forall (@list @t72 @t9 @t74 @t71) (or (tptp.p2 @t72 @t11) @t76 @t10 @t75 @t73))) % 0.47/0.69 (step @p31 :rule instantiate :premises (@p21) :args ((@list @t8 @t3 @t8 tptp.c19))) % 0.47/0.69 (step @p32 :rule instantiate :premises (@p2) :args ((@list @t8))) % 0.47/0.69 (step @p33 :rule cnf_or_pos :args (@t81)) % 0.47/0.69 (step @p34 :rule reordering :premises (@p33) :args ((or @t77 @t79 @t80 (not @t81)))) % 0.47/0.69 (step @p35 :rule chain_m_resolution :premises (@p34 @p4 @p32 @p31) :args (@t80 @t82 (@list @t4 @t78 @t81))) % 0.47/0.69 (step @p36 :rule instantiate :premises (@p14) :args ((@list @t27 @t28 @t28))) % 0.47/0.69 (step @p37 :rule instantiate :premises (@p2) :args ((@list @t28))) % 0.47/0.69 (step @p38 :rule cnf_or_pos :args (@t87)) % 0.47/0.69 (step @p39 :rule reordering :premises (@p38) :args ((or @t85 @t84 @t86 (not @t87)))) % 0.47/0.69 (step @p40 :rule chain_m_resolution :premises (@p39 @p16 @p37 @p36) :args (@t86 @t82 (@list @t29 @t83 @t87))) % 0.47/0.69 (step @p41 :rule instantiate :premises (@p26) :args ((@list tptp.c22 tptp.c23))) % 0.47/0.69 (step @p42 :rule cnf_or_pos :args (@t92)) % 0.47/0.69 (step @p43 :rule reordering :premises (@p42) :args ((or @t91 @t90 @t89 (not @t92)))) % 0.47/0.69 (step @p44 :rule chain_m_resolution :premises (@p43 @p3 @p5 @p41) :args (@t89 @t82 (@list @t2 @t5 @t92))) % 0.47/0.69 (step @p45 :rule cnf_or_pos :args (@t95)) % 0.47/0.69 (step @p46 :rule reordering :premises (@p45) :args ((or @t88 @t94 @t93 @t96))) % 0.47/0.69 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p40 @p35) :args (@t96 (@list true false false) (@list @t88 @t86 @t80))) % 0.47/0.69 (assume-push @p54 @t25) % 0.47/0.69 (step @p49 :rule instantiate :premises (@p14) :args ((@list @t28 @t62 @t27))) % 0.47/0.69 (step-pop @p55 :rule scope :premises (@p49)) % 0.47/0.69 (step @p50 :rule process_scope :premises (@p55) :args (@t95)) % 0.47/0.69 (step @p52 :rule implies_elim :premises (@p50)) % 0.47/0.69 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p14) :args (false (@list true false) (@list @t95 @t25))) % 0.47/0.69 ) % 0.47/0.69 % SZS output end Proof % 0.47/0.69 % cvc5 exiting %------------------------------------------------------------------------------