%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW592_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 09:05:18 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW592_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 22:17:28 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_ARI % 0.38/0.61 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort tptp.tuple02 0) % 0.38/0.61 (declare-sort tptp.bool1 0) % 0.38/0.61 (declare-sort tptp.t1 0) % 0.38/0.61 (declare-sort tptp.ty 0) % 0.38/0.61 (declare-sort tptp.uni 0) % 0.38/0.61 (declare-const tptp.power1 (-> tptp.t1 Int tptp.t1)) % 0.38/0.61 (declare-const tptp.mult1 (-> tptp.t1 tptp.t1 tptp.t1)) % 0.38/0.61 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 0.38/0.61 (declare-const tptp.tuple03 tptp.tuple02) % 0.38/0.61 (declare-const tptp.a121 (-> tptp.t1 Int)) % 0.38/0.61 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 0.38/0.61 (declare-const tptp.true1 tptp.bool1) % 0.38/0.61 (declare-const tptp.false1 tptp.bool1) % 0.38/0.61 (declare-const tptp.fib1 (-> Int Int)) % 0.38/0.61 (declare-const tptp.a221 (-> tptp.t1 Int)) % 0.38/0.61 (declare-const tptp.abs1 (-> Int Int)) % 0.38/0.61 (declare-const tptp.mk_t1 (-> Int Int Int Int tptp.t1)) % 0.38/0.61 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 0.38/0.61 (declare-const tptp.a111 (-> tptp.t1 Int)) % 0.38/0.61 (declare-const tptp.a211 (-> tptp.t1 Int)) % 0.38/0.61 (define @t1 () (@var "A" tptp.ty)) % 0.38/0.61 (define @t2 () (@var "X2" tptp.uni)) % 0.38/0.61 (define @t3 () (@var "X1" tptp.uni)) % 0.38/0.61 (define @t4 () (@var "X" tptp.bool1)) % 0.38/0.61 (define @t5 () (@var "Z" tptp.uni)) % 0.38/0.61 (define @t6 () (@var "Z1" tptp.uni)) % 0.38/0.61 (define @t7 () (@list @t1 @t5 @t6)) % 0.38/0.61 (define @t8 () (@var "U" tptp.bool1)) % 0.38/0.61 (define @t9 () (@var "U" tptp.tuple02)) % 0.38/0.61 (define @t10 () (@var "Z" Int)) % 0.38/0.61 (define @t11 () (@var "Y" Int)) % 0.38/0.61 (define @t12 () (@var "X" Int)) % 0.38/0.61 (define @t13 () (<= @t12 @t11)) % 0.38/0.61 (define @t14 () (@list @t12 @t11 @t10)) % 0.38/0.61 (define @t15 () (@var "N" Int)) % 0.38/0.61 (define @t16 () (- @t15 1)) % 0.38/0.61 (define @t17 () (@list @t15)) % 0.38/0.61 (define @t18 () (tptp.abs1 @t12)) % 0.38/0.61 (define @t19 () (<= 0 @t12)) % 0.38/0.61 (define @t20 () (@list @t12)) % 0.38/0.61 (define @t21 () (to_real @t12)) % 0.38/0.61 (define @t22 () (to_real @t10)) % 0.38/0.61 (define @t23 () (/ @t22 @t21)) % 0.38/0.61 (define @t24 () (>= @t21 0/1)) % 0.38/0.61 (define @t25 () (ite @t24 (to_int @t23) (- (to_int (- @t23))))) % 0.38/0.61 (define @t26 () (to_real (+ (* @t12 @t11) @t10))) % 0.38/0.61 (define @t27 () (/ @t26 @t21)) % 0.38/0.61 (define @t28 () (ite @t24 (to_int @t27) (- (to_int (- @t27))))) % 0.38/0.61 (define @t29 () (< 0 @t12)) % 0.38/0.61 (define @t30 () (@var "U" Int)) % 0.38/0.61 (define @t31 () (@var "U3" Int)) % 0.38/0.61 (define @t32 () (@var "U2" Int)) % 0.38/0.61 (define @t33 () (@var "U1" Int)) % 0.38/0.61 (define @t34 () (tptp.mk_t1 @t30 @t33 @t32 @t31)) % 0.38/0.61 (define @t35 () (@list @t30 @t33 @t32 @t31)) % 0.38/0.61 (define @t36 () (@var "U" tptp.t1)) % 0.38/0.61 (define @t37 () (@var "Y" tptp.t1)) % 0.38/0.61 (define @t38 () (tptp.a221 @t37)) % 0.38/0.61 (define @t39 () (@var "X" tptp.t1)) % 0.38/0.61 (define @t40 () (tptp.a221 @t39)) % 0.38/0.61 (define @t41 () (tptp.a121 @t37)) % 0.38/0.61 (define @t42 () (tptp.a211 @t39)) % 0.38/0.61 (define @t43 () (tptp.a211 @t37)) % 0.38/0.61 (define @t44 () (tptp.a111 @t37)) % 0.38/0.61 (define @t45 () (tptp.a121 @t39)) % 0.38/0.61 (define @t46 () (tptp.a111 @t39)) % 0.38/0.61 (define @t47 () (tptp.mult1 @t39 @t37)) % 0.38/0.61 (define @t48 () (@list @t39 @t37)) % 0.38/0.61 (define @t49 () (@var "Z" tptp.t1)) % 0.38/0.61 (define @t50 () (tptp.mk_t1 1 0 0 1)) % 0.38/0.61 (define @t51 () (@list @t39)) % 0.38/0.61 (define @t52 () (tptp.power1 @t39 0)) % 0.38/0.61 (define @t53 () (forall @t51 (= @t52 @t50))) % 0.38/0.61 (define @t54 () (tptp.power1 @t39 @t15)) % 0.38/0.61 (define @t55 () (<= 0 @t15)) % 0.38/0.61 (define @t56 () (@list @t39 @t15)) % 0.38/0.61 (define @t57 () (@var "M" Int)) % 0.38/0.61 (define @t58 () (<= 0 @t57)) % 0.38/0.61 (define @t59 () (@list @t39 @t15 @t57)) % 0.38/0.61 (define @t60 () (+ 1 0)) % 0.38/0.61 (define @t61 () (tptp.mk_t1 @t60 0 0 1)) % 0.38/0.61 (define @t62 () (tptp.mk_t1 1 1 1 0)) % 0.38/0.61 (define @t63 () (tptp.power1 @t62 @t15)) % 0.38/0.61 (define @t64 () (= @t63 @t61)) % 0.38/0.61 (define @t65 () (= @t15 0)) % 0.38/0.61 (define @t66 () (=> @t65 @t64)) % 0.38/0.61 (define @t67 () (=> @t55 @t66)) % 0.38/0.61 (define @t68 () (forall @t17 @t67)) % 0.38/0.61 (define @t69 () (not @t68)) % 0.38/0.61 (define @t70 () (= @t50 (tptp.power1 @t62 0))) % 0.38/0.61 (define @t71 () (= 0 0)) % 0.38/0.61 (define @t72 () (not @t71)) % 0.38/0.61 (define @t73 () (>= 0 0)) % 0.38/0.61 (define @t74 () (not @t73)) % 0.38/0.61 (define @t75 () (or @t74 @t72 @t70)) % 0.38/0.61 (define @t76 () (= @t50 @t63)) % 0.38/0.61 (define @t77 () (not @t65)) % 0.38/0.61 (define @t78 () (>= @t15 0)) % 0.38/0.61 (define @t79 () (not @t78)) % 0.38/0.61 (define @t80 () (or @t77 @t79 @t77 @t76)) % 0.38/0.61 (define @t81 () (or @t79 @t77 @t76)) % 0.38/0.61 (define @t82 () (=> @t65 @t76)) % 0.38/0.61 (define @t83 () (forall @t51 (= @t50 @t52))) % 0.38/0.61 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 0.38/0.61 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 0.38/0.61 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 0.38/0.61 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 0.38/0.61 (assume @p5 (not (= tptp.true1 tptp.false1))) % 0.38/0.61 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 0.38/0.61 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 0.38/0.61 (assume @p8 (forall @t14 (=> @t13 (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 0.38/0.61 (assume @p9 (= (tptp.fib1 0) 0)) % 0.38/0.61 (assume @p10 (= (tptp.fib1 1) 1)) % 0.38/0.61 (assume @p11 (forall @t17 (=> (<= 2 @t15) (= (tptp.fib1 @t15) (+ (tptp.fib1 @t16) (tptp.fib1 (- @t15 2))))))) % 0.38/0.61 (assume @p12 (forall @t20 (and (=> @t19 (= @t18 @t12)) (=> (not @t19) (= @t18 (- @t12)))))) % 0.38/0.61 (assume @p13 (forall (@list @t12 @t11) (= (<= @t18 @t11) (and (<= (- @t11) @t12) @t13)))) % 0.38/0.61 (assume @p14 (forall @t20 (<= 0 @t18))) % 0.38/0.61 (assume @p15 (forall @t14 (=> @t29 (= @t28 (+ @t11 @t25))))) % 0.38/0.61 (assume @p16 (forall @t14 (=> @t29 (= (to_int (- @t26 (* (to_real @t28) @t21))) (to_int (- @t22 (* (to_real @t25) @t21))))))) % 0.38/0.61 (assume @p17 (forall @t35 (= (tptp.a111 @t34) @t30))) % 0.38/0.61 (assume @p18 (forall @t35 (= (tptp.a121 @t34) @t33))) % 0.38/0.61 (assume @p19 (forall @t35 (= (tptp.a211 @t34) @t32))) % 0.38/0.61 (assume @p20 (forall @t35 (= (tptp.a221 @t34) @t31))) % 0.38/0.61 (assume @p21 (forall (@list @t36) (= @t36 (tptp.mk_t1 (tptp.a111 @t36) (tptp.a121 @t36) (tptp.a211 @t36) (tptp.a221 @t36))))) % 0.38/0.61 (assume @p22 (forall @t48 (= @t47 (tptp.mk_t1 (+ (* @t46 @t44) (* @t45 @t43)) (+ (* @t46 @t41) (* @t45 @t38)) (+ (* @t42 @t44) (* @t40 @t43)) (+ (* @t42 @t41) (* @t40 @t38)))))) % 0.38/0.61 (assume @p23 (forall (@list @t39 @t37 @t49) (= (tptp.mult1 @t47 @t49) (tptp.mult1 @t39 (tptp.mult1 @t37 @t49))))) % 0.38/0.61 (assume @p24 (forall @t51 (= (tptp.mult1 @t50 @t39) @t39))) % 0.38/0.61 (assume @p25 (forall @t51 (= (tptp.mult1 @t39 @t50) @t39))) % 0.38/0.61 (assume @p26 (forall @t48 (= @t47 (tptp.mult1 @t37 @t39)))) % 0.38/0.61 (assume @p27 @t53) % 0.38/0.61 (assume @p28 (forall @t56 (=> @t55 (= (tptp.power1 @t39 (+ @t15 1)) (tptp.mult1 @t39 @t54))))) % 0.38/0.61 (assume @p29 (forall @t56 (=> (< 0 @t15) (= @t54 (tptp.mult1 @t39 (tptp.power1 @t39 @t16)))))) % 0.38/0.61 (assume @p30 (forall @t51 (= (tptp.power1 @t39 1) @t39))) % 0.38/0.61 (assume @p31 (forall @t59 (=> @t55 (=> @t58 (= (tptp.power1 @t39 (+ @t15 @t57)) (tptp.mult1 @t54 (tptp.power1 @t39 @t57))))))) % 0.38/0.61 (assume @p32 (forall @t59 (=> @t55 (=> @t58 (= (tptp.power1 @t39 (* @t15 @t57)) (tptp.power1 @t54 @t57)))))) % 0.38/0.61 (assume @p33 (forall (@list @t39 @t37 @t15) (=> @t55 (= (tptp.power1 @t47 @t15) (tptp.mult1 @t54 (tptp.power1 @t37 @t15)))))) % 0.38/0.61 (assume @p34 @t69) % 0.38/0.61 (assume @p35 true) % 0.38/0.61 (step @p36 :rule eq-symm :args (@t52 @t50)) % 0.38/0.61 (step @p37 :rule cong :premises (@p36) :args (@t53)) % 0.38/0.61 (step @p38 :rule eq_resolve :premises (@p27 @p37)) % 0.38/0.61 (step @p39 :rule aci_norm :args ((= (or false false @t70) @t70))) % 0.38/0.61 (step @p40 :rule refl :args (@t70)) % 0.38/0.61 (step @p41 :rule evaluate :args ((not true))) % 0.38/0.61 (step @p42 :rule evaluate :args (@t71)) % 0.38/0.61 (step @p43 :rule cong :premises (@p42) :args (@t72)) % 0.38/0.61 (step @p44 :rule trans :premises (@p43 @p41)) % 0.38/0.61 (step @p45 :rule evaluate :args (@t73)) % 0.38/0.61 (step @p46 :rule cong :premises (@p45) :args (@t74)) % 0.38/0.61 (step @p47 :rule trans :premises (@p46 @p41)) % 0.38/0.61 (step @p48 :rule nary_cong :premises (@p47 @p44 @p40) :args (@t75)) % 0.38/0.61 (step @p49 :rule trans :premises (@p48 @p39)) % 0.38/0.61 (step @p50 :rule quant-var-elim-eq :args ((= (forall @t17 @t80) @t75))) % 0.38/0.61 (step @p51 :rule aci_norm :args ((= @t81 @t80))) % 0.38/0.61 (step @p52 :rule cong :premises (@p51) :args ((forall @t17 @t81))) % 0.38/0.61 (step @p53 :rule trans :premises (@p52 @p50)) % 0.38/0.61 (step @p54 :rule trans :premises (@p53 @p49)) % 0.38/0.61 (step @p55 :rule aci_norm :args ((= (or @t79 (or @t77 @t76)) @t81))) % 0.38/0.61 (step @p56 :rule bool-impl-elim :args (@t65 @t76)) % 0.38/0.61 (step @p57 :rule refl :args (@t79)) % 0.38/0.61 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t79 @t82))) % 0.38/0.61 (step @p59 :rule trans :premises (@p58 @p55)) % 0.38/0.61 (step @p60 :rule bool-impl-elim :args (@t78 @t82)) % 0.38/0.61 (step @p61 :rule trans :premises (@p60 @p59)) % 0.38/0.61 (step @p62 :rule cong :premises (@p61) :args ((forall @t17 (=> @t78 @t82)))) % 0.38/0.61 (step @p63 :rule trans :premises (@p62 @p54)) % 0.38/0.61 (step @p64 :rule eq-symm :args (@t63 @t50)) % 0.38/0.61 (step @p65 :rule refl :args (1)) % 0.38/0.61 (step @p66 :rule refl :args (0)) % 0.38/0.61 (step @p67 :rule evaluate :args (@t60)) % 0.38/0.61 (step @p68 :rule cong :premises (@p67 @p66 @p66 @p65) :args (@t61)) % 0.38/0.61 (step @p69 :rule refl :args (@t63)) % 0.38/0.61 (step @p70 :rule cong :premises (@p69 @p68) :args (@t64)) % 0.38/0.61 (step @p71 :rule trans :premises (@p70 @p64)) % 0.38/0.61 (step @p72 :rule refl :args (@t65)) % 0.38/0.61 (step @p73 :rule cong :premises (@p72 @p71) :args (@t66)) % 0.38/0.61 (step @p74 :rule arith-elim-leq :args (0 @t15)) % 0.38/0.61 (step @p75 :rule cong :premises (@p74 @p73) :args (@t67)) % 0.38/0.61 (step @p76 :rule cong :premises (@p75) :args (@t68)) % 0.38/0.61 (step @p77 :rule trans :premises (@p76 @p63)) % 0.38/0.61 (step @p78 :rule cong :premises (@p77) :args (@t69)) % 0.38/0.61 (step @p79 :rule eq_resolve :premises (@p34 @p78)) % 0.38/0.61 (assume-push @p87 @t83) % 0.38/0.61 (step @p81 :rule instantiate :premises (@p38) :args ((@list @t62))) % 0.38/0.61 (step-pop @p88 :rule scope :premises (@p81)) % 0.38/0.61 (step @p82 :rule process_scope :premises (@p88) :args (@t70)) % 0.38/0.61 (step @p84 :rule implies_elim :premises (@p82)) % 0.38/0.61 (step @p85 :rule reordering :premises (@p84) :args ((or @t70 (not @t83)))) % 0.38/0.61 (step @p86 false :rule chain_m_resolution :premises (@p85 @p79 @p38) :args (false (@list true false) (@list @t70 @t83))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------