%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA003-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:06:29 AM UTC 2026 % Result : Unsatisfiable 2.73s 2.92s % Output : Proof 2.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA003-1 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n008.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 02:14:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.73/2.92 % SZS status Unsatisfiable % 2.73/2.92 % SZS output start Proof % 2.73/2.92 ( % 2.73/2.92 (declare-sort $$unsorted 0) % 2.73/2.92 (declare-const tptp.fp33 (-> $$unsorted $$unsorted)) % 2.73/2.92 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 2.73/2.92 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 2.73/2.92 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 2.73/2.92 (declare-const tptp.half (-> $$unsorted $$unsorted)) % 2.73/2.92 (declare-const tptp.b $$unsorted) % 2.73/2.92 (declare-const tptp.l1 $$unsorted) % 2.73/2.92 (declare-const tptp.fp32 (-> $$unsorted $$unsorted)) % 2.73/2.92 (declare-const tptp.minus (-> $$unsorted $$unsorted)) % 2.73/2.92 (declare-const tptp.n0 $$unsorted) % 2.73/2.92 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 2.73/2.92 (declare-const tptp.fp31 (-> $$unsorted $$unsorted)) % 2.73/2.92 (declare-const tptp.minimum (-> $$unsorted $$unsorted $$unsorted)) % 2.73/2.92 (declare-const tptp.absolute (-> $$unsorted $$unsorted)) % 2.73/2.92 (declare-const tptp.l2 $$unsorted) % 2.73/2.92 (declare-const tptp.a $$unsorted) % 2.73/2.92 (define @t1 () (@var "X" $$unsorted)) % 2.73/2.92 (define @t2 () (@list @t1)) % 2.73/2.92 (define @t3 () (@var "Z" $$unsorted)) % 2.73/2.92 (define @t4 () (@var "Y" $$unsorted)) % 2.73/2.92 (define @t5 () (@list @t1 @t4 @t3)) % 2.73/2.92 (define @t6 () (tptp.minimum @t1 @t4)) % 2.73/2.92 (define @t7 () (not (tptp.less_than tptp.n0 @t4))) % 2.73/2.92 (define @t8 () (not (tptp.less_than tptp.n0 @t1))) % 2.73/2.92 (define @t9 () (@list @t1 @t4)) % 2.73/2.92 (define @t10 () (@var "Xa" $$unsorted)) % 2.73/2.92 (define @t11 () (tptp.add @t1 @t4)) % 2.73/2.92 (define @t12 () (tptp.half @t10)) % 2.73/2.92 (define @t13 () (tptp.fp31 @t1)) % 2.73/2.92 (define @t14 () (tptp.minus tptp.l1)) % 2.73/2.92 (define @t15 () (tptp.minus tptp.a)) % 2.73/2.92 (define @t16 () (tptp.absolute (tptp.add @t4 @t15))) % 2.73/2.92 (define @t17 () (tptp.fp32 @t1)) % 2.73/2.92 (define @t18 () (tptp.minus tptp.l2)) % 2.73/2.92 (define @t19 () (tptp.less_than tptp.n0 tptp.b)) % 2.73/2.92 (define @t20 () (tptp.fp33 @t1)) % 2.73/2.92 (define @t21 () (tptp.half tptp.b)) % 2.73/2.92 (define @t22 () (tptp.fp31 @t21)) % 2.73/2.92 (define @t23 () (tptp.fp32 @t21)) % 2.73/2.92 (define @t24 () (tptp.minimum @t23 @t22)) % 2.73/2.92 (define @t25 () (@list @t24)) % 2.73/2.92 (define @t26 () (@list @t23 @t22)) % 2.73/2.92 (define @t27 () (@list @t21)) % 2.73/2.92 (define @t28 () (tptp.less_than tptp.n0 @t21)) % 2.73/2.92 (define @t29 () (not @t19)) % 2.73/2.92 (define @t30 () (or @t29 @t28)) % 2.73/2.92 (define @t31 () (@list false false)) % 2.73/2.92 (define @t32 () (tptp.less_than tptp.n0 @t23)) % 2.73/2.92 (define @t33 () (not @t28)) % 2.73/2.92 (define @t34 () (or @t33 @t32)) % 2.73/2.92 (define @t35 () (tptp.less_than tptp.n0 @t22)) % 2.73/2.92 (define @t36 () (or @t33 @t35)) % 2.73/2.92 (define @t37 () (tptp.less_than tptp.n0 @t24)) % 2.73/2.92 (define @t38 () (not @t35)) % 2.73/2.92 (define @t39 () (not @t32)) % 2.73/2.92 (define @t40 () (or @t39 @t38 @t37)) % 2.73/2.92 (define @t41 () (@list false false false)) % 2.73/2.92 (define @t42 () (tptp.fp33 @t24)) % 2.73/2.92 (define @t43 () (tptp.absolute (tptp.add (tptp.g @t42) @t18))) % 2.73/2.92 (define @t44 () (tptp.absolute (tptp.add (tptp.f @t42) @t14))) % 2.73/2.92 (define @t45 () (tptp.less_than (tptp.add @t44 @t43) tptp.b)) % 2.73/2.92 (define @t46 () (not @t45)) % 2.73/2.92 (define @t47 () (not @t37)) % 2.73/2.92 (define @t48 () (or @t47 @t46)) % 2.73/2.92 (define @t49 () (@list @t21 @t42)) % 2.73/2.92 (define @t50 () (tptp.absolute (tptp.add @t42 @t15))) % 2.73/2.92 (define @t51 () (tptp.less_than @t50 @t24)) % 2.73/2.92 (define @t52 () (or @t47 @t51)) % 2.73/2.92 (define @t53 () (tptp.less_than @t24 @t22)) % 2.73/2.92 (define @t54 () (or @t39 @t38 @t53)) % 2.73/2.92 (define @t55 () (tptp.less_than @t50 @t22)) % 2.73/2.92 (define @t56 () (not @t53)) % 2.73/2.92 (define @t57 () (not @t51)) % 2.73/2.92 (define @t58 () (or @t57 @t56 @t55)) % 2.73/2.92 (define @t59 () (tptp.less_than @t44 @t21)) % 2.73/2.92 (define @t60 () (not @t55)) % 2.73/2.92 (define @t61 () (or @t33 @t60 @t59)) % 2.73/2.92 (define @t62 () (tptp.less_than @t24 @t23)) % 2.73/2.92 (define @t63 () (or @t39 @t38 @t62)) % 2.73/2.92 (define @t64 () (tptp.less_than @t50 @t23)) % 2.73/2.92 (define @t65 () (not @t62)) % 2.73/2.92 (define @t66 () (or @t57 @t65 @t64)) % 2.73/2.92 (define @t67 () (tptp.less_than @t43 @t21)) % 2.73/2.92 (define @t68 () (not @t64)) % 2.73/2.92 (define @t69 () (or @t33 @t68 @t67)) % 2.73/2.92 (define @t70 () (not @t67)) % 2.73/2.92 (define @t71 () (not @t59)) % 2.73/2.92 (define @t72 () (or @t71 @t70 @t45)) % 2.73/2.92 (assume @p1 (forall @t2 (= (tptp.add @t1 tptp.n0) @t1))) % 2.73/2.92 (assume @p2 (forall @t2 (= (tptp.add tptp.n0 @t1) @t1))) % 2.73/2.92 (assume @p3 (forall @t2 (not (tptp.less_than @t1 @t1)))) % 2.73/2.92 (assume @p4 (forall @t5 (or (not (tptp.less_than @t1 @t4)) (not (tptp.less_than @t4 @t3)) (tptp.less_than @t1 @t3)))) % 2.73/2.92 (assume @p5 (forall @t9 (or @t8 @t7 (tptp.less_than tptp.n0 @t6)))) % 2.73/2.92 (assume @p6 (forall @t9 (or @t8 @t7 (tptp.less_than @t6 @t1)))) % 2.73/2.92 (assume @p7 (forall @t9 (or @t8 @t7 (tptp.less_than @t6 @t4)))) % 2.73/2.92 (assume @p8 (forall (@list @t1 @t10 @t4) (or (not (tptp.less_than @t1 @t12)) (not (tptp.less_than @t4 @t12)) (tptp.less_than @t11 @t10)))) % 2.73/2.92 (assume @p9 (forall (@list @t1 @t4 @t10) (or (not (tptp.less_than (tptp.add (tptp.absolute @t1) (tptp.absolute @t4)) @t10)) (tptp.less_than (tptp.absolute @t11) @t10)))) % 2.73/2.92 (assume @p10 (forall @t5 (= (tptp.add @t11 @t3) (tptp.add @t1 (tptp.add @t4 @t3))))) % 2.73/2.92 (assume @p11 (forall @t9 (= @t11 (tptp.add @t4 @t1)))) % 2.73/2.92 (assume @p12 (forall (@list @t10) (or (not (tptp.less_than tptp.n0 @t10)) (tptp.less_than tptp.n0 @t12)))) % 2.73/2.92 (assume @p13 (forall @t9 (= (tptp.minus @t11) (tptp.add (tptp.minus @t1) (tptp.minus @t4))))) % 2.73/2.92 (assume @p14 (forall @t2 (or @t8 (tptp.less_than tptp.n0 @t13)))) % 2.73/2.92 (assume @p15 (forall @t9 (or @t8 (not (tptp.less_than @t16 @t13)) (tptp.less_than (tptp.absolute (tptp.add (tptp.f @t4) @t14)) @t1)))) % 2.73/2.92 (assume @p16 (forall @t2 (or @t8 (tptp.less_than tptp.n0 @t17)))) % 2.73/2.92 (assume @p17 (forall @t9 (or @t8 (not (tptp.less_than @t16 @t17)) (tptp.less_than (tptp.absolute (tptp.add (tptp.g @t4) @t18)) @t1)))) % 2.73/2.92 (assume @p18 @t19) % 2.73/2.92 (assume @p19 (forall @t2 (or @t8 (tptp.less_than (tptp.absolute (tptp.add @t20 @t15)) @t1)))) % 2.73/2.92 (assume @p20 (forall @t2 (or @t8 (not (tptp.less_than (tptp.add (tptp.absolute (tptp.add (tptp.f @t20) @t14)) (tptp.absolute (tptp.add (tptp.g @t20) @t18))) tptp.b))))) % 2.73/2.92 (step @p21 :rule instantiate :premises (@p20) :args (@t25)) % 2.73/2.92 (step @p22 :rule instantiate :premises (@p5) :args (@t26)) % 2.73/2.92 (step @p23 :rule instantiate :premises (@p16) :args (@t27)) % 2.73/2.92 (step @p24 :rule instantiate :premises (@p12) :args ((@list tptp.b))) % 2.73/2.92 (step @p25 :rule cnf_or_pos :args (@t30)) % 2.73/2.92 (step @p26 :rule reordering :premises (@p25) :args ((or @t29 @t28 (not @t30)))) % 2.73/2.92 (step @p27 :rule chain_m_resolution :premises (@p26 @p18 @p24) :args (@t28 @t31 (@list @t19 @t30))) % 2.73/2.92 (step @p28 :rule cnf_or_pos :args (@t34)) % 2.73/2.92 (step @p29 :rule reordering :premises (@p28) :args ((or @t33 @t32 (not @t34)))) % 2.73/2.92 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p23) :args (@t32 @t31 (@list @t28 @t34))) % 2.73/2.92 (step @p31 :rule instantiate :premises (@p14) :args (@t27)) % 2.73/2.92 (step @p32 :rule cnf_or_pos :args (@t36)) % 2.73/2.92 (step @p33 :rule reordering :premises (@p32) :args ((or @t33 @t35 (not @t36)))) % 2.73/2.92 (step @p34 :rule chain_m_resolution :premises (@p33 @p27 @p31) :args (@t35 @t31 (@list @t28 @t36))) % 2.73/2.92 (step @p35 :rule cnf_or_pos :args (@t40)) % 2.73/2.92 (step @p36 :rule reordering :premises (@p35) :args ((or @t38 @t39 @t37 (not @t40)))) % 2.73/2.92 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30 @p22) :args (@t37 @t41 (@list @t35 @t32 @t40))) % 2.73/2.92 (step @p38 :rule cnf_or_pos :args (@t48)) % 2.73/2.92 (step @p39 :rule reordering :premises (@p38) :args ((or @t47 @t46 (not @t48)))) % 2.73/2.92 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p21) :args (@t46 @t31 (@list @t37 @t48))) % 2.73/2.92 (step @p41 :rule instantiate :premises (@p8) :args ((@list @t44 tptp.b @t43))) % 2.73/2.92 (step @p42 :rule instantiate :premises (@p15) :args (@t49)) % 2.73/2.92 (step @p43 :rule instantiate :premises (@p4) :args ((@list @t50 @t24 @t22))) % 2.73/2.92 (step @p44 :rule instantiate :premises (@p19) :args (@t25)) % 2.73/2.92 (step @p45 :rule cnf_or_pos :args (@t52)) % 2.73/2.92 (step @p46 :rule reordering :premises (@p45) :args ((or @t47 @t51 (not @t52)))) % 2.73/2.92 (step @p47 :rule chain_m_resolution :premises (@p46 @p37 @p44) :args (@t51 @t31 (@list @t37 @t52))) % 2.73/2.92 (step @p48 :rule instantiate :premises (@p7) :args (@t26)) % 2.73/2.92 (step @p49 :rule cnf_or_pos :args (@t54)) % 2.73/2.92 (step @p50 :rule reordering :premises (@p49) :args ((or @t38 @t39 @t53 (not @t54)))) % 2.73/2.92 (step @p51 :rule chain_m_resolution :premises (@p50 @p34 @p30 @p48) :args (@t53 @t41 (@list @t35 @t32 @t54))) % 2.73/2.92 (step @p52 :rule cnf_or_pos :args (@t58)) % 2.73/2.92 (step @p53 :rule reordering :premises (@p52) :args ((or @t56 @t57 @t55 (not @t58)))) % 2.73/2.92 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p47 @p43) :args (@t55 @t41 (@list @t53 @t51 @t58))) % 2.73/2.92 (step @p55 :rule cnf_or_pos :args (@t61)) % 2.73/2.92 (step @p56 :rule reordering :premises (@p55) :args ((or @t33 @t59 @t60 (not @t61)))) % 2.73/2.92 (step @p57 :rule chain_m_resolution :premises (@p56 @p27 @p54 @p42) :args (@t59 @t41 (@list @t28 @t55 @t61))) % 2.73/2.92 (step @p58 :rule instantiate :premises (@p17) :args (@t49)) % 2.73/2.92 (step @p59 :rule instantiate :premises (@p4) :args ((@list @t50 @t24 @t23))) % 2.73/2.92 (step @p60 :rule instantiate :premises (@p6) :args (@t26)) % 2.73/2.92 (step @p61 :rule cnf_or_pos :args (@t63)) % 2.73/2.92 (step @p62 :rule reordering :premises (@p61) :args ((or @t38 @t39 @t62 (not @t63)))) % 2.73/2.92 (step @p63 :rule chain_m_resolution :premises (@p62 @p34 @p30 @p60) :args (@t62 @t41 (@list @t35 @t32 @t63))) % 2.73/2.92 (step @p64 :rule cnf_or_pos :args (@t66)) % 2.73/2.92 (step @p65 :rule reordering :premises (@p64) :args ((or @t65 @t57 @t64 (not @t66)))) % 2.73/2.92 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p47 @p59) :args (@t64 @t41 (@list @t62 @t51 @t66))) % 2.73/2.92 (step @p67 :rule cnf_or_pos :args (@t69)) % 2.73/2.92 (step @p68 :rule reordering :premises (@p67) :args ((or @t33 @t67 @t68 (not @t69)))) % 2.73/2.92 (step @p69 :rule chain_m_resolution :premises (@p68 @p27 @p66 @p58) :args (@t67 @t41 (@list @t28 @t64 @t69))) % 2.73/2.92 (step @p70 :rule cnf_or_pos :args (@t72)) % 2.73/2.92 (step @p71 :rule reordering :premises (@p70) :args ((or @t45 @t71 @t70 (not @t72)))) % 2.73/2.92 (step @p72 false :rule chain_m_resolution :premises (@p71 @p69 @p57 @p41 @p40) :args (false (@list false false false true) (@list @t67 @t59 @t72 @t45))) % 2.73/2.92 ) % 2.73/2.93 % SZS output end Proof % 2.73/2.93 % cvc5 exiting %------------------------------------------------------------------------------