%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN613-1 : 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 : n009.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 09:09:30 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.65s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN613-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.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 23:32:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.65 % SZS status Unsatisfiable % 0.37/0.65 % SZS output start Proof % 0.37/0.65 ( % 0.37/0.65 (declare-sort $$unsorted 0) % 0.37/0.65 (declare-const tptp.p17 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.c19 $$unsorted) % 0.37/0.65 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.c22 $$unsorted) % 0.37/0.65 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.f10 (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.p11 (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.c20 $$unsorted) % 0.37/0.65 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.f9 (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.p16 (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.c24 $$unsorted) % 0.37/0.65 (declare-const tptp.c25 $$unsorted) % 0.37/0.65 (declare-const tptp.p18 (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.c21 $$unsorted) % 0.37/0.65 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.c23 $$unsorted) % 0.37/0.65 (declare-const tptp.f15 (-> $$unsorted $$unsorted)) % 0.37/0.65 (define @t1 () (@var "X0" $$unsorted)) % 0.37/0.65 (define @t2 () (forall (@list @t1) (tptp.p11 @t1 @t1))) % 0.37/0.65 (define @t3 () (@var "X48" $$unsorted)) % 0.37/0.65 (define @t4 () (@var "X41" $$unsorted)) % 0.37/0.65 (define @t5 () (@var "X36" $$unsorted)) % 0.37/0.65 (define @t6 () (@var "X29" $$unsorted)) % 0.37/0.65 (define @t7 () (@var "X14" $$unsorted)) % 0.37/0.65 (define @t8 () (tptp.f9 tptp.c21)) % 0.37/0.65 (define @t9 () (tptp.f12 @t8)) % 0.37/0.65 (define @t10 () (tptp.p11 tptp.c23 @t9)) % 0.37/0.65 (define @t11 () (tptp.p11 tptp.c24 @t9)) % 0.37/0.65 (define @t12 () (@var "X47" $$unsorted)) % 0.37/0.65 (define @t13 () (@var "X46" $$unsorted)) % 0.37/0.65 (define @t14 () (@var "X4" $$unsorted)) % 0.37/0.65 (define @t15 () (@var "X3" $$unsorted)) % 0.37/0.65 (define @t16 () (@var "X6" $$unsorted)) % 0.37/0.65 (define @t17 () (@var "X5" $$unsorted)) % 0.37/0.65 (define @t18 () (@var "X12" $$unsorted)) % 0.37/0.65 (define @t19 () (@var "X11" $$unsorted)) % 0.37/0.65 (define @t20 () (@var "X40" $$unsorted)) % 0.37/0.65 (define @t21 () (@var "X39" $$unsorted)) % 0.37/0.65 (define @t22 () (@var "X45" $$unsorted)) % 0.37/0.65 (define @t23 () (@var "X44" $$unsorted)) % 0.37/0.65 (define @t24 () (@var "X2" $$unsorted)) % 0.37/0.65 (define @t25 () (@var "X1" $$unsorted)) % 0.37/0.65 (define @t26 () (@var "X50" $$unsorted)) % 0.37/0.65 (define @t27 () (@var "X49" $$unsorted)) % 0.37/0.65 (define @t28 () (@var "X43" $$unsorted)) % 0.37/0.65 (define @t29 () (@var "X42" $$unsorted)) % 0.37/0.65 (define @t30 () (@var "X38" $$unsorted)) % 0.37/0.65 (define @t31 () (@var "X37" $$unsorted)) % 0.37/0.65 (define @t32 () (@var "X31" $$unsorted)) % 0.37/0.65 (define @t33 () (@var "X30" $$unsorted)) % 0.37/0.65 (define @t34 () (@var "X16" $$unsorted)) % 0.37/0.65 (define @t35 () (@var "X15" $$unsorted)) % 0.37/0.65 (define @t36 () (tptp.f4 (tptp.f7 (tptp.f10 tptp.c20) (tptp.f8 @t8 tptp.c22)))) % 0.37/0.65 (define @t37 () (tptp.p17 tptp.c19 @t36 tptp.c24)) % 0.37/0.65 (define @t38 () (tptp.p17 tptp.c19 @t36 tptp.c23)) % 0.37/0.65 (define @t39 () (@var "X23" $$unsorted)) % 0.37/0.65 (define @t40 () (@var "X25" $$unsorted)) % 0.37/0.65 (define @t41 () (@var "X26" $$unsorted)) % 0.37/0.65 (define @t42 () (@var "X24" $$unsorted)) % 0.37/0.65 (define @t43 () (@var "X10" $$unsorted)) % 0.37/0.65 (define @t44 () (@var "X8" $$unsorted)) % 0.37/0.65 (define @t45 () (@var "X9" $$unsorted)) % 0.37/0.65 (define @t46 () (@var "X7" $$unsorted)) % 0.37/0.65 (define @t47 () (@var "X54" $$unsorted)) % 0.37/0.65 (define @t48 () (@var "X52" $$unsorted)) % 0.37/0.65 (define @t49 () (@var "X53" $$unsorted)) % 0.37/0.65 (define @t50 () (@var "X51" $$unsorted)) % 0.37/0.65 (define @t51 () (@var "X35" $$unsorted)) % 0.37/0.65 (define @t52 () (@var "X33" $$unsorted)) % 0.37/0.65 (define @t53 () (@var "X34" $$unsorted)) % 0.37/0.65 (define @t54 () (@var "X32" $$unsorted)) % 0.37/0.65 (define @t55 () (@var "X28" $$unsorted)) % 0.37/0.65 (define @t56 () (@var "X27" $$unsorted)) % 0.37/0.65 (define @t57 () (@var "X20" $$unsorted)) % 0.37/0.65 (define @t58 () (@var "X22" $$unsorted)) % 0.37/0.65 (define @t59 () (@var "X21" $$unsorted)) % 0.37/0.65 (define @t60 () (@var "X19" $$unsorted)) % 0.37/0.65 (define @t61 () (@var "X17" $$unsorted)) % 0.37/0.65 (define @t62 () (@var "X18" $$unsorted)) % 0.37/0.65 (define @t63 () (@var "X13" $$unsorted)) % 0.37/0.65 (define @t64 () (tptp.f4 tptp.c20)) % 0.37/0.65 (define @t65 () (not (tptp.p17 tptp.c19 @t64 @t63))) % 0.37/0.65 (define @t66 () (not (tptp.p11 @t63 @t9))) % 0.37/0.65 (define @t67 () (tptp.f15 @t63)) % 0.37/0.65 (define @t68 () (tptp.p17 tptp.c19 @t64 tptp.c23)) % 0.37/0.65 (define @t69 () (@list @t63)) % 0.37/0.65 (define @t70 () (tptp.p11 tptp.c24 tptp.c24)) % 0.37/0.65 (define @t71 () (not @t70)) % 0.37/0.65 (define @t72 () (not @t11)) % 0.37/0.65 (define @t73 () (tptp.p11 @t9 tptp.c24)) % 0.37/0.65 (define @t74 () (or @t73 @t72 @t71)) % 0.37/0.65 (define @t75 () (not @t37)) % 0.37/0.65 (define @t76 () (tptp.p11 tptp.c24 tptp.c23)) % 0.37/0.65 (define @t77 () (not @t76)) % 0.37/0.65 (define @t78 () (tptp.p16 tptp.c19 tptp.c19)) % 0.37/0.65 (define @t79 () (not @t78)) % 0.37/0.65 (define @t80 () (tptp.p3 @t36 @t36)) % 0.37/0.65 (define @t81 () (not @t80)) % 0.37/0.65 (define @t82 () (or @t38 @t81 @t79 @t77 @t75)) % 0.37/0.65 (define @t83 () (tptp.p11 @t9 tptp.c23)) % 0.37/0.65 (define @t84 () (not @t83)) % 0.37/0.65 (define @t85 () (not @t73)) % 0.37/0.65 (define @t86 () (or @t76 @t85 @t84)) % 0.37/0.65 (define @t87 () (tptp.p11 tptp.c23 tptp.c23)) % 0.37/0.65 (define @t88 () (not @t87)) % 0.37/0.65 (define @t89 () (not @t10)) % 0.37/0.65 (define @t90 () (or @t83 @t89 @t88)) % 0.37/0.65 (assume @p1 @t2) % 0.37/0.65 (assume @p2 (forall (@list @t3) (tptp.p6 @t3 @t3))) % 0.37/0.65 (assume @p3 (forall (@list @t4) (tptp.p5 @t4 @t4))) % 0.37/0.65 (assume @p4 (forall (@list @t5) (tptp.p3 @t5 @t5))) % 0.37/0.65 (assume @p5 (forall (@list @t6) (tptp.p2 @t6 @t6))) % 0.37/0.65 (assume @p6 (forall (@list @t7) (tptp.p16 @t7 @t7))) % 0.37/0.65 (assume @p7 @t10) % 0.37/0.65 (assume @p8 @t11) % 0.37/0.65 (assume @p9 (forall (@list @t13 @t12) (or (tptp.p5 (tptp.f9 @t13) (tptp.f9 @t12)) (not (tptp.p5 @t13 @t12))))) % 0.37/0.65 (assume @p10 (forall (@list @t15 @t14) (or (tptp.p11 (tptp.f12 @t15) (tptp.f12 @t14)) (not (tptp.p5 @t15 @t14))))) % 0.37/0.65 (assume @p11 (forall (@list @t17 @t16) (or (tptp.p11 (tptp.f13 @t17) (tptp.f13 @t16)) (not (tptp.p11 @t17 @t16))))) % 0.37/0.65 (assume @p12 (forall (@list @t19 @t18) (or (tptp.p11 (tptp.f15 @t19) (tptp.f15 @t18)) (not (tptp.p11 @t19 @t18))))) % 0.37/0.65 (assume @p13 (forall (@list @t21 @t20) (or (tptp.p3 (tptp.f4 @t21) (tptp.f4 @t20)) (not (tptp.p2 @t21 @t20))))) % 0.37/0.65 (assume @p14 (forall (@list @t23 @t22) (or (tptp.p5 (tptp.f10 @t23) (tptp.f10 @t22)) (not (tptp.p2 @t23 @t22))))) % 0.37/0.65 (assume @p15 (forall (@list @t25 @t24 @t1) (or (tptp.p11 @t25 @t24) (not (tptp.p11 @t1 @t25)) (not (tptp.p11 @t1 @t24))))) % 0.37/0.65 (assume @p16 (forall (@list @t27 @t26 @t3) (or (tptp.p6 @t27 @t26) (not (tptp.p6 @t3 @t27)) (not (tptp.p6 @t3 @t26))))) % 0.37/0.65 (assume @p17 (forall (@list @t29 @t28 @t4) (or (tptp.p5 @t29 @t28) (not (tptp.p5 @t4 @t29)) (not (tptp.p5 @t4 @t28))))) % 0.37/0.65 (assume @p18 (forall (@list @t31 @t30 @t5) (or (tptp.p3 @t31 @t30) (not (tptp.p3 @t5 @t31)) (not (tptp.p3 @t5 @t30))))) % 0.37/0.65 (assume @p19 (forall (@list @t33 @t32 @t6) (or (tptp.p2 @t33 @t32) (not (tptp.p2 @t6 @t33)) (not (tptp.p2 @t6 @t32))))) % 0.37/0.65 (assume @p20 (forall (@list @t35 @t34 @t7) (or (tptp.p16 @t35 @t34) (not (tptp.p16 @t7 @t35)) (not (tptp.p16 @t7 @t34))))) % 0.37/0.65 (assume @p21 @t37) % 0.37/0.65 (assume @p22 (not @t38)) % 0.37/0.65 (assume @p23 (forall (@list @t39 @t42 @t41 @t40) (or (tptp.p18 @t39 @t42) (not (tptp.p11 @t41 @t42)) (not (tptp.p18 @t40 @t41)) (not (tptp.p11 @t40 @t39))))) % 0.37/0.65 (assume @p24 (forall (@list @t46 @t44 @t45 @t43) (or (tptp.p11 (tptp.f14 @t46 @t44) (tptp.f14 @t45 @t43)) (not (tptp.p11 @t46 @t45)) (not (tptp.p11 @t44 @t43))))) % 0.37/0.65 (assume @p25 (forall (@list @t50 @t48 @t49 @t47) (or (tptp.p6 (tptp.f8 @t50 @t48) (tptp.f8 @t49 @t47)) (not (tptp.p5 @t50 @t49)) (not (tptp.p5 @t48 @t47))))) % 0.37/0.65 (assume @p26 (forall (@list @t54 @t52 @t53 @t51) (or (tptp.p2 (tptp.f7 @t54 @t52) (tptp.f7 @t53 @t51)) (not (tptp.p5 @t54 @t53)) (not (tptp.p6 @t52 @t51))))) % 0.37/0.65 (assume @p27 (forall (@list @t55) (or (tptp.p18 (tptp.f13 (tptp.f14 @t55 tptp.c25)) (tptp.f13 (tptp.f14 tptp.c23 tptp.c25))) (not (tptp.p11 @t55 @t9))))) % 0.37/0.65 (assume @p28 (forall (@list @t56) (or (tptp.p18 (tptp.f13 (tptp.f14 @t56 tptp.c25)) (tptp.f13 (tptp.f14 tptp.c24 tptp.c25))) (not (tptp.p11 @t56 @t9))))) % 0.37/0.65 (assume @p29 (forall (@list @t61 @t62 @t60 @t58 @t59 @t57) (or (tptp.p17 @t61 @t62 @t60) (not (tptp.p3 @t58 @t62)) (not (tptp.p16 @t59 @t61)) (not (tptp.p11 @t57 @t60)) (not (tptp.p17 @t59 @t58 @t57))))) % 0.37/0.65 (assume @p30 (forall @t69 (or @t68 (tptp.p11 @t67 @t9) @t66 @t65))) % 0.37/0.65 (assume @p31 (forall @t69 (or @t68 @t66 @t65 (not (tptp.p18 (tptp.f13 (tptp.f14 @t67 tptp.c25)) (tptp.f13 (tptp.f14 @t63 tptp.c25))))))) % 0.37/0.65 (step @p32 :rule instantiate :premises (@p15) :args ((@list @t9 tptp.c23 tptp.c23))) % 0.37/0.65 (step @p33 :rule instantiate :premises (@p15) :args ((@list tptp.c24 tptp.c23 @t9))) % 0.37/0.65 (step @p34 :rule instantiate :premises (@p15) :args ((@list @t9 tptp.c24 tptp.c24))) % 0.37/0.65 (step @p35 :rule instantiate :premises (@p1) :args ((@list tptp.c24))) % 0.37/0.65 (step @p36 :rule cnf_or_pos :args (@t74)) % 0.37/0.65 (step @p37 :rule reordering :premises (@p36) :args ((or @t72 @t71 @t73 (not @t74)))) % 0.37/0.65 (step @p38 :rule chain_m_resolution :premises (@p37 @p8 @p35 @p34) :args (@t73 (@list false false false) (@list @t11 @t70 @t74))) % 0.37/0.65 (step @p39 :rule instantiate :premises (@p29) :args ((@list tptp.c19 @t36 tptp.c23 @t36 tptp.c19 tptp.c24))) % 0.37/0.65 (step @p40 :rule instantiate :premises (@p6) :args ((@list tptp.c19))) % 0.37/0.65 (step @p41 :rule instantiate :premises (@p4) :args ((@list @t36))) % 0.37/0.65 (step @p42 :rule cnf_or_pos :args (@t82)) % 0.37/0.65 (step @p43 :rule reordering :premises (@p42) :args ((or @t38 @t75 @t77 @t81 @t79 (not @t82)))) % 0.37/0.65 (step @p44 :rule chain_m_resolution :premises (@p43 @p22 @p21 @p41 @p40 @p39) :args (@t77 (@list true false false false false) (@list @t38 @t37 @t80 @t78 @t82))) % 0.37/0.65 (step @p45 :rule cnf_or_pos :args (@t86)) % 0.37/0.65 (step @p46 :rule reordering :premises (@p45) :args ((or @t76 @t85 @t84 (not @t86)))) % 0.37/0.65 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p38 @p33) :args (@t84 (@list true false false) (@list @t76 @t73 @t86))) % 0.37/0.65 (step @p48 :rule cnf_or_pos :args (@t90)) % 0.37/0.65 (step @p49 :rule reordering :premises (@p48) :args ((or @t89 @t83 @t88 (not @t90)))) % 0.37/0.65 (step @p50 :rule chain_m_resolution :premises (@p49 @p7 @p47 @p32) :args (@t88 (@list false true false) (@list @t10 @t83 @t90))) % 0.37/0.65 (assume-push @p57 @t2) % 0.37/0.65 (step @p52 :rule instantiate :premises (@p1) :args ((@list tptp.c23))) % 0.37/0.65 (step-pop @p58 :rule scope :premises (@p52)) % 0.37/0.65 (step @p53 :rule process_scope :premises (@p58) :args (@t87)) % 0.37/0.65 (step @p55 :rule implies_elim :premises (@p53)) % 0.37/0.65 (step @p56 false :rule chain_m_resolution :premises (@p55 @p50 @p1) :args (false (@list true false) (@list @t87 @t2))) % 0.37/0.65 ) % 0.37/0.65 % SZS output end Proof % 0.37/0.65 % cvc5 exiting %------------------------------------------------------------------------------