%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN624-1 : 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 : n001.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 09:09:31 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.70s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN624-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:33:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.70 % SZS status Unsatisfiable % 0.53/0.70 % SZS output start Proof % 0.53/0.70 ( % 0.53/0.70 (declare-sort $$unsorted 0) % 0.53/0.70 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.f14 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.f15 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p19 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f8 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p20 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.c25 $$unsorted) % 0.53/0.70 (declare-const tptp.p11 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.c22 $$unsorted) % 0.53/0.70 (declare-const tptp.c24 $$unsorted) % 0.53/0.70 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.c23 $$unsorted) % 0.53/0.70 (declare-const tptp.f6 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p18 (-> $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f9 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.c26 $$unsorted) % 0.53/0.70 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.53/0.70 (define @t1 () (@var "X0" $$unsorted)) % 0.53/0.70 (define @t2 () (@var "X57" $$unsorted)) % 0.53/0.70 (define @t3 () (@var "X46" $$unsorted)) % 0.53/0.70 (define @t4 () (@var "X34" $$unsorted)) % 0.53/0.70 (define @t5 () (@var "X21" $$unsorted)) % 0.53/0.70 (define @t6 () (tptp.f6 tptp.c24)) % 0.53/0.70 (define @t7 () (tptp.f6 tptp.c22)) % 0.53/0.70 (define @t8 () (@var "X28" $$unsorted)) % 0.53/0.70 (define @t9 () (@var "X29" $$unsorted)) % 0.53/0.70 (define @t10 () (@var "X16" $$unsorted)) % 0.53/0.70 (define @t11 () (tptp.f14 (tptp.f15 (tptp.f7 tptp.c25)))) % 0.53/0.70 (define @t12 () (@var "X11" $$unsorted)) % 0.53/0.70 (define @t13 () (@var "X10" $$unsorted)) % 0.53/0.70 (define @t14 () (@var "X61" $$unsorted)) % 0.53/0.70 (define @t15 () (@var "X60" $$unsorted)) % 0.53/0.70 (define @t16 () (@var "X56" $$unsorted)) % 0.53/0.70 (define @t17 () (@var "X55" $$unsorted)) % 0.53/0.70 (define @t18 () (@var "X54" $$unsorted)) % 0.53/0.70 (define @t19 () (@var "X53" $$unsorted)) % 0.53/0.70 (define @t20 () (@var "X52" $$unsorted)) % 0.53/0.70 (define @t21 () (@var "X51" $$unsorted)) % 0.53/0.70 (define @t22 () (@var "X50" $$unsorted)) % 0.53/0.70 (define @t23 () (@var "X49" $$unsorted)) % 0.53/0.70 (define @t24 () (@var "X27" $$unsorted)) % 0.53/0.70 (define @t25 () (@var "X26" $$unsorted)) % 0.53/0.70 (define @t26 () (@var "X25" $$unsorted)) % 0.53/0.70 (define @t27 () (@var "X24" $$unsorted)) % 0.53/0.70 (define @t28 () (tptp.f13 @t6 tptp.c26)) % 0.53/0.70 (define @t29 () (@var "X2" $$unsorted)) % 0.53/0.70 (define @t30 () (@var "X1" $$unsorted)) % 0.53/0.70 (define @t31 () (forall (@list @t30 @t29 @t1) (or (tptp.p10 @t30 @t29) (not (tptp.p10 @t1 @t30)) (not (tptp.p10 @t1 @t29))))) % 0.53/0.70 (define @t32 () (@var "X59" $$unsorted)) % 0.53/0.70 (define @t33 () (@var "X58" $$unsorted)) % 0.53/0.70 (define @t34 () (@var "X48" $$unsorted)) % 0.53/0.70 (define @t35 () (@var "X47" $$unsorted)) % 0.53/0.70 (define @t36 () (@var "X36" $$unsorted)) % 0.53/0.70 (define @t37 () (@var "X35" $$unsorted)) % 0.53/0.70 (define @t38 () (@var "X23" $$unsorted)) % 0.53/0.70 (define @t39 () (@var "X22" $$unsorted)) % 0.53/0.70 (define @t40 () (@var "X9" $$unsorted)) % 0.53/0.70 (define @t41 () (@var "X41" $$unsorted)) % 0.53/0.70 (define @t42 () (tptp.f13 @t7 @t11)) % 0.53/0.70 (define @t43 () (tptp.p10 @t28 @t42)) % 0.53/0.70 (define @t44 () (@var "X45" $$unsorted)) % 0.53/0.70 (define @t45 () (@var "X44" $$unsorted)) % 0.53/0.70 (define @t46 () (@var "X43" $$unsorted)) % 0.53/0.70 (define @t47 () (@var "X42" $$unsorted)) % 0.53/0.70 (define @t48 () (@var "X33" $$unsorted)) % 0.53/0.70 (define @t49 () (@var "X32" $$unsorted)) % 0.53/0.70 (define @t50 () (@var "X31" $$unsorted)) % 0.53/0.70 (define @t51 () (@var "X30" $$unsorted)) % 0.53/0.70 (define @t52 () (@var "X37" $$unsorted)) % 0.53/0.70 (define @t53 () (@var "X39" $$unsorted)) % 0.53/0.70 (define @t54 () (@var "X40" $$unsorted)) % 0.53/0.70 (define @t55 () (@var "X38" $$unsorted)) % 0.53/0.70 (define @t56 () (@var "X5" $$unsorted)) % 0.53/0.70 (define @t57 () (@var "X3" $$unsorted)) % 0.53/0.70 (define @t58 () (@var "X6" $$unsorted)) % 0.53/0.70 (define @t59 () (@var "X4" $$unsorted)) % 0.53/0.70 (define @t60 () (@var "X19" $$unsorted)) % 0.53/0.70 (define @t61 () (@var "X17" $$unsorted)) % 0.53/0.70 (define @t62 () (@var "X20" $$unsorted)) % 0.53/0.70 (define @t63 () (@var "X18" $$unsorted)) % 0.53/0.70 (define @t64 () (@var "X15" $$unsorted)) % 0.53/0.70 (define @t65 () (@var "X13" $$unsorted)) % 0.53/0.70 (define @t66 () (@var "X14" $$unsorted)) % 0.53/0.70 (define @t67 () (@var "X12" $$unsorted)) % 0.53/0.70 (define @t68 () (@var "X8" $$unsorted)) % 0.53/0.70 (define @t69 () (@var "X7" $$unsorted)) % 0.53/0.70 (define @t70 () (tptp.f6 @t69)) % 0.53/0.70 (define @t71 () (tptp.f16 tptp.c26 @t11)) % 0.53/0.70 (define @t72 () (tptp.f13 @t6 @t71)) % 0.53/0.70 (define @t73 () (tptp.p10 @t42 @t42)) % 0.53/0.70 (define @t74 () (not @t73)) % 0.53/0.70 (define @t75 () (tptp.p10 @t42 @t72)) % 0.53/0.70 (define @t76 () (not @t75)) % 0.53/0.70 (define @t77 () (tptp.p10 @t72 @t42)) % 0.53/0.70 (define @t78 () (or @t77 @t76 @t74)) % 0.53/0.70 (define @t79 () (@list false false false)) % 0.53/0.70 (define @t80 () (tptp.p5 @t6 @t6)) % 0.53/0.70 (define @t81 () (not @t80)) % 0.53/0.70 (define @t82 () (tptp.p10 @t71 tptp.c26)) % 0.53/0.70 (define @t83 () (not @t82)) % 0.53/0.70 (define @t84 () (tptp.p10 @t72 @t28)) % 0.53/0.70 (define @t85 () (or @t84 @t83 @t81)) % 0.53/0.70 (define @t86 () (not @t77)) % 0.53/0.70 (define @t87 () (not @t84)) % 0.53/0.70 (define @t88 () (or @t43 @t87 @t86)) % 0.53/0.70 (define @t89 () (not @t88)) % 0.53/0.70 (assume @p1 (forall (@list @t1) (tptp.p10 @t1 @t1))) % 0.53/0.70 (assume @p2 (forall (@list @t2) (tptp.p5 @t2 @t2))) % 0.53/0.70 (assume @p3 (forall (@list @t3) (tptp.p3 @t3 @t3))) % 0.53/0.70 (assume @p4 (forall (@list @t4) (tptp.p2 @t4 @t4))) % 0.53/0.70 (assume @p5 (forall (@list @t5) (tptp.p11 @t5 @t5))) % 0.53/0.70 (assume @p6 (not (tptp.p18 @t6))) % 0.53/0.70 (assume @p7 (not (tptp.p18 @t7))) % 0.53/0.70 (assume @p8 (tptp.p3 (tptp.f4 tptp.c22) tptp.c23)) % 0.53/0.70 (assume @p9 (tptp.p19 (tptp.f7 (tptp.f8 (tptp.f9 tptp.c25))) tptp.c23)) % 0.53/0.70 (assume @p10 (forall (@list @t8 @t9) (or (tptp.p18 @t8) (not (tptp.p18 @t9)) (not (tptp.p5 @t9 @t8))))) % 0.53/0.70 (assume @p11 (forall (@list @t10) (tptp.p10 (tptp.f16 @t10 @t11) @t10))) % 0.53/0.70 (assume @p12 (forall (@list @t13 @t12) (or (tptp.p10 (tptp.f14 @t13) (tptp.f14 @t12)) (not (tptp.p11 @t13 @t12))))) % 0.53/0.70 (assume @p13 (forall (@list @t15 @t14) (or (tptp.p5 (tptp.f6 @t15) (tptp.f6 @t14)) (not (tptp.p2 @t15 @t14))))) % 0.53/0.70 (assume @p14 (forall (@list @t17 @t16) (or (tptp.p3 (tptp.f9 @t17) (tptp.f9 @t16)) (not (tptp.p3 @t17 @t16))))) % 0.53/0.70 (assume @p15 (forall (@list @t19 @t18) (or (tptp.p3 (tptp.f8 @t19) (tptp.f8 @t18)) (not (tptp.p3 @t19 @t18))))) % 0.53/0.70 (assume @p16 (forall (@list @t21 @t20) (or (tptp.p3 (tptp.f7 @t21) (tptp.f7 @t20)) (not (tptp.p3 @t21 @t20))))) % 0.53/0.70 (assume @p17 (forall (@list @t23 @t22) (or (tptp.p3 (tptp.f4 @t23) (tptp.f4 @t22)) (not (tptp.p2 @t23 @t22))))) % 0.53/0.70 (assume @p18 (forall (@list @t25 @t24) (or (tptp.p11 (tptp.f15 @t25) (tptp.f15 @t24)) (not (tptp.p3 @t25 @t24))))) % 0.53/0.70 (assume @p19 (forall (@list @t27 @t26) (or (tptp.p11 (tptp.f12 @t27) (tptp.f12 @t26)) (not (tptp.p10 @t27 @t26))))) % 0.53/0.70 (assume @p20 (not (tptp.p10 @t28 @t11))) % 0.53/0.70 (assume @p21 @t31) % 0.53/0.70 (assume @p22 (forall (@list @t33 @t32 @t2) (or (tptp.p5 @t33 @t32) (not (tptp.p5 @t2 @t33)) (not (tptp.p5 @t2 @t32))))) % 0.53/0.70 (assume @p23 (forall (@list @t35 @t34 @t3) (or (tptp.p3 @t35 @t34) (not (tptp.p3 @t3 @t35)) (not (tptp.p3 @t3 @t34))))) % 0.53/0.70 (assume @p24 (forall (@list @t37 @t36 @t4) (or (tptp.p2 @t37 @t36) (not (tptp.p2 @t4 @t37)) (not (tptp.p2 @t4 @t36))))) % 0.53/0.70 (assume @p25 (forall (@list @t39 @t38 @t5) (or (tptp.p11 @t39 @t38) (not (tptp.p11 @t5 @t39)) (not (tptp.p11 @t5 @t38))))) % 0.53/0.70 (assume @p26 (forall (@list @t40) (tptp.p10 (tptp.f13 @t7 @t40) (tptp.f13 @t6 (tptp.f16 tptp.c26 @t40))))) % 0.53/0.70 (assume @p27 (forall (@list @t41) (tptp.p20 (tptp.f12 @t28) (tptp.f12 (tptp.f13 @t6 @t41))))) % 0.53/0.70 (assume @p28 (not @t43)) % 0.53/0.70 (assume @p29 (forall (@list @t47 @t46 @t45 @t44) (or (tptp.p21 @t47 @t46) (not (tptp.p3 @t45 @t47)) (not (tptp.p3 @t44 @t46)) (not (tptp.p21 @t45 @t44))))) % 0.53/0.70 (assume @p30 (forall (@list @t51 @t50 @t49 @t48) (or (tptp.p19 @t51 @t50) (not (tptp.p3 @t49 @t51)) (not (tptp.p3 @t48 @t50)) (not (tptp.p19 @t49 @t48))))) % 0.53/0.70 (assume @p31 (forall (@list @t52 @t55 @t54 @t53) (or (tptp.p20 @t52 @t55) (not (tptp.p11 @t54 @t55)) (not (tptp.p20 @t53 @t54)) (not (tptp.p11 @t53 @t52))))) % 0.53/0.70 (assume @p32 (forall (@list @t57 @t59 @t56 @t58) (or (tptp.p10 (tptp.f13 @t57 @t59) (tptp.f13 @t56 @t58)) (not (tptp.p10 @t59 @t58)) (not (tptp.p5 @t57 @t56))))) % 0.53/0.70 (assume @p33 (forall (@list @t61 @t63 @t60 @t62) (or (tptp.p10 (tptp.f17 @t61 @t63) (tptp.f17 @t60 @t62)) (not (tptp.p2 @t63 @t62)) (not (tptp.p3 @t61 @t60))))) % 0.53/0.70 (assume @p34 (forall (@list @t67 @t65 @t66 @t64) (or (tptp.p10 (tptp.f16 @t67 @t65) (tptp.f16 @t66 @t64)) (not (tptp.p10 @t67 @t66)) (not (tptp.p10 @t65 @t64))))) % 0.53/0.70 (assume @p35 (forall (@list @t69 @t68) (or (tptp.p18 @t70) (tptp.p10 (tptp.f13 @t70 (tptp.f17 @t68 @t69)) @t11) (not (tptp.p21 @t68 tptp.c23)) (not (tptp.p3 (tptp.f4 @t69) @t68))))) % 0.53/0.70 (step @p36 :rule instantiate :premises (@p21) :args ((@list @t72 @t42 @t42))) % 0.53/0.70 (step @p37 :rule instantiate :premises (@p1) :args ((@list @t42))) % 0.53/0.70 (step @p38 :rule instantiate :premises (@p26) :args ((@list @t11))) % 0.53/0.70 (step @p39 :rule cnf_or_pos :args (@t78)) % 0.53/0.70 (step @p40 :rule reordering :premises (@p39) :args ((or @t76 @t74 @t77 (not @t78)))) % 0.53/0.70 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37 @p36) :args (@t77 @t79 (@list @t75 @t73 @t78))) % 0.53/0.70 (step @p42 :rule instantiate :premises (@p32) :args ((@list @t6 @t71 @t6 tptp.c26))) % 0.53/0.70 (step @p43 :rule instantiate :premises (@p2) :args ((@list @t6))) % 0.53/0.70 (step @p44 :rule instantiate :premises (@p11) :args ((@list tptp.c26))) % 0.53/0.70 (step @p45 :rule cnf_or_pos :args (@t85)) % 0.53/0.70 (step @p46 :rule reordering :premises (@p45) :args ((or @t83 @t81 @t84 (not @t85)))) % 0.53/0.70 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p43 @p42) :args (@t84 @t79 (@list @t82 @t80 @t85))) % 0.53/0.70 (step @p48 :rule cnf_or_pos :args (@t88)) % 0.53/0.70 (step @p49 :rule reordering :premises (@p48) :args ((or @t43 @t87 @t86 @t89))) % 0.53/0.70 (step @p50 :rule chain_m_resolution :premises (@p49 @p28 @p47 @p41) :args (@t89 (@list true false false) (@list @t43 @t84 @t77))) % 0.53/0.70 (assume-push @p57 @t31) % 0.53/0.70 (step @p52 :rule instantiate :premises (@p21) :args ((@list @t28 @t42 @t72))) % 0.53/0.70 (step-pop @p58 :rule scope :premises (@p52)) % 0.53/0.70 (step @p53 :rule process_scope :premises (@p58) :args (@t88)) % 0.53/0.70 (step @p55 :rule implies_elim :premises (@p53)) % 0.53/0.70 (step @p56 false :rule chain_m_resolution :premises (@p55 @p50 @p21) :args (false (@list true false) (@list @t88 @t31))) % 0.53/0.70 ) % 0.53/0.70 % SZS output end Proof % 0.53/0.71 % cvc5 exiting %------------------------------------------------------------------------------