%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI680_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:08:07 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI680_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:32:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 0.37/0.61 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-const tptp.x Int) % 0.37/0.61 (declare-const tptp.y Int) % 0.37/0.61 (declare-const tptp.a Int) % 0.37/0.61 (define @t1 () (* 7 tptp.a)) % 0.37/0.61 (define @t2 () (* (* 3 tptp.x) tptp.y)) % 0.37/0.61 (define @t3 () (+ @t2 @t1)) % 0.37/0.61 (define @t4 () (* 2 tptp.x)) % 0.37/0.61 (define @t5 () (not (> 0 tptp.a))) % 0.37/0.61 (define @t6 () (* tptp.x tptp.y)) % 0.37/0.61 (define @t7 () (* 3 @t6)) % 0.37/0.61 (define @t8 () (+ @t1 @t7)) % 0.37/0.61 (define @t9 () (<= 4 @t3)) % 0.37/0.61 (define @t10 () (>= tptp.a 0)) % 0.37/0.61 (define @t11 () (not @t10)) % 0.37/0.61 (define @t12 () (>= tptp.y 2)) % 0.37/0.61 (define @t13 () (+ tptp.y 1)) % 0.37/0.61 (define @t14 () (>= 1 tptp.y)) % 0.37/0.61 (define @t15 () (not @t14)) % 0.37/0.61 (define @t16 () (>= tptp.y 0)) % 0.37/0.61 (define @t17 () (not @t12)) % 0.37/0.61 (define @t18 () (not @t16)) % 0.37/0.61 (define @t19 () (+ -1 1)) % 0.37/0.61 (define @t20 () (>= tptp.y @t19)) % 0.37/0.61 (define @t21 () (not @t20)) % 0.37/0.61 (define @t22 () (<= tptp.y -1)) % 0.37/0.61 (define @t23 () (<= 0 -3)) % 0.37/0.61 (define @t24 () (+ -1 -2)) % 0.37/0.61 (define @t25 () (* -1 2)) % 0.37/0.61 (define @t26 () (+ -1 @t25)) % 0.37/0.61 (define @t27 () (* -1 tptp.y)) % 0.37/0.61 (define @t28 () (+ tptp.y @t27)) % 0.37/0.61 (define @t29 () (= @t28 0)) % 0.37/0.61 (define @t30 () (< -1 0)) % 0.37/0.61 (define @t31 () (and @t18 @t12)) % 0.37/0.61 (define @t32 () (@list false)) % 0.37/0.61 (define @t33 () (@list @t12)) % 0.37/0.61 (define @t34 () (>= tptp.y -1)) % 0.37/0.61 (define @t35 () (not @t34)) % 0.37/0.61 (define @t36 () (ite @t16 @t12 @t35)) % 0.37/0.61 (define @t37 () (@list false false)) % 0.37/0.61 (define @t38 () (>= tptp.x 2)) % 0.37/0.61 (define @t39 () (* -1 tptp.x)) % 0.37/0.61 (define @t40 () (+ tptp.x 1)) % 0.37/0.61 (define @t41 () (to_int -3/2)) % 0.37/0.61 (define @t42 () (to_real @t39)) % 0.37/0.61 (define @t43 () (>= 3 @t4)) % 0.37/0.61 (define @t44 () (>= tptp.x 0)) % 0.37/0.61 (define @t45 () (not @t38)) % 0.37/0.61 (define @t46 () (not @t44)) % 0.37/0.61 (define @t47 () (>= tptp.x @t19)) % 0.37/0.61 (define @t48 () (not @t47)) % 0.37/0.61 (define @t49 () (<= tptp.x -1)) % 0.37/0.61 (define @t50 () (+ tptp.x @t39)) % 0.37/0.61 (define @t51 () (= @t50 0)) % 0.37/0.61 (define @t52 () (and @t46 @t38)) % 0.37/0.61 (define @t53 () (@list @t38)) % 0.37/0.61 (define @t54 () (>= tptp.x -1)) % 0.37/0.61 (define @t55 () (not @t54)) % 0.37/0.61 (define @t56 () (ite @t44 @t38 @t55)) % 0.37/0.61 (define @t57 () (= tptp.y 0)) % 0.37/0.61 (define @t58 () (<= 0 -2)) % 0.37/0.61 (define @t59 () (+ 0 -2)) % 0.37/0.61 (define @t60 () (+ 0 @t25)) % 0.37/0.61 (define @t61 () (<= @t28 @t60)) % 0.37/0.61 (define @t62 () (and @t57 @t12)) % 0.37/0.61 (define @t63 () (not @t57)) % 0.37/0.61 (define @t64 () (= tptp.x 0)) % 0.37/0.61 (define @t65 () (<= @t50 @t60)) % 0.37/0.61 (define @t66 () (and @t64 @t38)) % 0.37/0.61 (define @t67 () (not @t64)) % 0.37/0.61 (define @t68 () (not @t36)) % 0.37/0.61 (define @t69 () (not @t56)) % 0.37/0.61 (define @t70 () (and @t56 @t36 @t67 @t63)) % 0.37/0.61 (define @t71 () (>= @t6 -1)) % 0.37/0.61 (define @t72 () (not @t71)) % 0.37/0.61 (define @t73 () (>= @t6 1)) % 0.37/0.61 (define @t74 () (not @t73)) % 0.37/0.61 (define @t75 () (* -1 @t6)) % 0.37/0.61 (define @t76 () (- 1)) % 0.37/0.61 (define @t77 () (- @t6)) % 0.37/0.61 (define @t78 () (<= @t77 @t76)) % 0.37/0.61 (define @t79 () (<= @t77 1)) % 0.37/0.61 (define @t80 () (>= 1 0)) % 0.37/0.61 (define @t81 () (ite @t80 (> @t77 1) (> @t77 @t76))) % 0.37/0.61 (define @t82 () (>= @t6 2)) % 0.37/0.61 (define @t83 () (>= @t6 0)) % 0.37/0.61 (define @t84 () (>= @t6 @t19)) % 0.37/0.61 (define @t85 () (<= @t6 @t76)) % 0.37/0.61 (define @t86 () (+ 1 1)) % 0.37/0.61 (define @t87 () (>= @t6 @t86)) % 0.37/0.61 (define @t88 () (ite @t80 (> @t6 1) (> @t6 @t76))) % 0.37/0.61 (define @t89 () (ite @t83 @t88 @t81)) % 0.37/0.61 (define @t90 () (>= tptp.y 1)) % 0.37/0.61 (define @t91 () (not @t90)) % 0.37/0.61 (define @t92 () (- tptp.y)) % 0.37/0.61 (define @t93 () (<= @t92 @t76)) % 0.37/0.61 (define @t94 () (<= @t92 1)) % 0.37/0.61 (define @t95 () (ite @t80 (> @t92 1) (> @t92 @t76))) % 0.37/0.61 (define @t96 () (<= tptp.y @t76)) % 0.37/0.61 (define @t97 () (>= tptp.y @t86)) % 0.37/0.61 (define @t98 () (ite @t80 (> tptp.y 1) (> tptp.y @t76))) % 0.37/0.61 (define @t99 () (ite @t16 @t98 @t95)) % 0.37/0.61 (define @t100 () (>= tptp.x 1)) % 0.37/0.61 (define @t101 () (not @t100)) % 0.37/0.61 (define @t102 () (- tptp.x)) % 0.37/0.61 (define @t103 () (<= @t102 @t76)) % 0.37/0.61 (define @t104 () (<= @t102 1)) % 0.37/0.61 (define @t105 () (ite @t80 (> @t102 1) (> @t102 @t76))) % 0.37/0.61 (define @t106 () (<= tptp.x @t76)) % 0.37/0.61 (define @t107 () (>= tptp.x @t86)) % 0.37/0.61 (define @t108 () (ite @t80 (> tptp.x 1) (> tptp.x @t76))) % 0.37/0.61 (define @t109 () (ite @t44 @t108 @t105)) % 0.37/0.61 (define @t110 () (and @t109 @t99 @t67 @t63)) % 0.37/0.61 (define @t111 () (abs @t6)) % 0.37/0.61 (define @t112 () (>= @t111 @t86)) % 0.37/0.61 (define @t113 () (abs 1)) % 0.37/0.61 (define @t114 () (<= @t111 @t113)) % 0.37/0.61 (define @t115 () (* 1 1)) % 0.37/0.61 (define @t116 () (abs @t115)) % 0.37/0.61 (define @t117 () (<= @t111 @t116)) % 0.37/0.61 (define @t118 () (ite @t83 @t82 @t72)) % 0.37/0.61 (define @t119 () (+ 0 1)) % 0.37/0.61 (define @t120 () (>= tptp.y @t119)) % 0.37/0.61 (define @t121 () (not @t120)) % 0.37/0.61 (define @t122 () (<= tptp.y 0)) % 0.37/0.61 (define @t123 () (not @t122)) % 0.37/0.61 (define @t124 () (not (>= 0 tptp.y))) % 0.37/0.61 (define @t125 () (> tptp.y 0)) % 0.37/0.61 (define @t126 () (and @t91 @t12)) % 0.37/0.61 (define @t127 () (>= tptp.x @t119)) % 0.37/0.61 (define @t128 () (not @t127)) % 0.37/0.61 (define @t129 () (<= tptp.x 0)) % 0.37/0.61 (define @t130 () (not @t129)) % 0.37/0.61 (define @t131 () (not (>= 0 tptp.x))) % 0.37/0.61 (define @t132 () (> tptp.x 0)) % 0.37/0.61 (define @t133 () (and @t101 @t38)) % 0.37/0.61 (define @t134 () (and @t100 @t90)) % 0.37/0.61 (define @t135 () (>= @t6 @t119)) % 0.37/0.61 (define @t136 () (and @t132 @t125)) % 0.37/0.61 (define @t137 () (+ -2 1)) % 0.37/0.61 (define @t138 () (>= @t6 @t137)) % 0.37/0.61 (define @t139 () (<= @t6 -2)) % 0.37/0.61 (define @t140 () (* -1 1)) % 0.37/0.61 (define @t141 () (+ -2 @t140)) % 0.37/0.61 (define @t142 () (+ @t6 @t75)) % 0.37/0.61 (define @t143 () (and @t72 @t73)) % 0.37/0.61 (define @t144 () (not @t82)) % 0.37/0.61 (define @t145 () (>= @t8 4)) % 0.37/0.61 (define @t146 () (not @t145)) % 0.37/0.61 (define @t147 () (< @t8 4)) % 0.37/0.61 (define @t148 () (* -7 0)) % 0.37/0.61 (define @t149 () (* -3 2)) % 0.37/0.61 (define @t150 () (+ 4 @t149 @t148)) % 0.37/0.61 (define @t151 () (* -3 @t6)) % 0.37/0.61 (define @t152 () (* -7 tptp.a)) % 0.37/0.61 (define @t153 () (+ @t152 @t151 @t7 @t1)) % 0.37/0.61 (define @t154 () (+ @t8 @t151 @t152)) % 0.37/0.61 (define @t155 () (>= @t154 @t150)) % 0.37/0.61 (define @t156 () (and @t10 @t82 @t146)) % 0.37/0.61 (assume @p1 (> 4 @t3)) % 0.37/0.61 (assume @p2 (< 3 @t4)) % 0.37/0.61 (assume @p3 (< 1 tptp.y)) % 0.37/0.61 (assume @p4 @t5) % 0.37/0.61 (assume @p5 true) % 0.37/0.61 (step @p6 :rule arith-elim-leq :args (4 @t8)) % 0.37/0.61 (step @p7 :rule arith_poly_norm :args ((= (+ @t7 @t1) @t8))) % 0.37/0.61 (step @p8 :rule refl :args (@t1)) % 0.37/0.61 (step @p9 :rule arith_poly_norm :args ((= @t2 @t7))) % 0.37/0.61 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t3)) % 0.37/0.61 (step @p11 :rule trans :premises (@p10 @p7)) % 0.37/0.61 (step @p12 :rule refl :args (4)) % 0.37/0.61 (step @p13 :rule cong :premises (@p12 @p11) :args (@t9)) % 0.37/0.61 (step @p14 :rule trans :premises (@p13 @p6)) % 0.37/0.61 (step @p15 :rule cong :premises (@p14) :args ((not @t9))) % 0.37/0.61 (step @p16 :rule arith-elim-leq :args (4 @t3)) % 0.37/0.61 (step @p17 :rule symm :premises (@p16)) % 0.37/0.61 (step @p18 :rule cong :premises (@p17) :args ((not (>= @t3 4)))) % 0.37/0.61 (step @p19 :rule arith-elim-gt :args (4 @t3)) % 0.37/0.61 (step @p20 :rule trans :premises (@p19 @p18)) % 0.37/0.61 (step @p21 :rule trans :premises (@p20 @p15)) % 0.37/0.61 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 0.37/0.61 (step @p23 :rule bool-double-not-elim :args (@t10)) % 0.37/0.61 (step @p24 :rule arith-elim-leq :args (0 tptp.a)) % 0.37/0.61 (step @p25 :rule cong :premises (@p24) :args ((not (<= 0 tptp.a)))) % 0.37/0.61 (step @p26 :rule arith-elim-leq :args (0 tptp.a)) % 0.37/0.61 (step @p27 :rule symm :premises (@p26)) % 0.37/0.61 (step @p28 :rule cong :premises (@p27) :args (@t11)) % 0.37/0.61 (step @p29 :rule arith-elim-gt :args (0 tptp.a)) % 0.37/0.61 (step @p30 :rule trans :premises (@p29 @p28)) % 0.37/0.61 (step @p31 :rule trans :premises (@p30 @p25)) % 0.37/0.61 (step @p32 :rule cong :premises (@p31) :args (@t5)) % 0.37/0.61 (step @p33 :rule trans :premises (@p32 @p23)) % 0.37/0.61 (step @p34 :rule eq_resolve :premises (@p4 @p33)) % 0.37/0.61 (step @p35 :rule bool-double-not-elim :args (@t12)) % 0.37/0.61 (step @p36 :rule arith_poly_norm :args ((= (* 1 (- 2 @t13)) (* 1 (- 1 tptp.y))))) % 0.37/0.61 (step @p37 :rule arith_poly_norm_rel :premises (@p36) :args ((= (>= 2 @t13) @t14))) % 0.37/0.61 (step @p38 :rule arith-geq-tighten :args (tptp.y 2)) % 0.37/0.61 (step @p39 :rule trans :premises (@p38 @p37)) % 0.37/0.61 (step @p40 :rule symm :premises (@p39)) % 0.37/0.61 (step @p41 :rule cong :premises (@p40) :args (@t15)) % 0.37/0.61 (step @p42 :rule trans :premises (@p41 @p35)) % 0.37/0.61 (step @p43 :rule arith-elim-lt :args (1 tptp.y)) % 0.37/0.61 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.61 (step @p45 :rule eq_resolve :premises (@p3 @p44)) % 0.37/0.61 (step @p46 :rule bool-double-not-elim :args (@t16)) % 0.37/0.61 (step @p47 :rule refl :args (@t17)) % 0.37/0.61 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t17 (not @t18)))) % 0.37/0.61 (assume-push @p742 @t18) % 0.37/0.61 (assume-push @p743 @t12) % 0.37/0.61 (step @p51 :rule evaluate :args (@t19)) % 0.37/0.61 (step @p52 :rule refl :args (tptp.y)) % 0.37/0.61 (step @p53 :rule cong :premises (@p52 @p51) :args (@t20)) % 0.37/0.61 (step @p54 :rule cong :premises (@p53) :args (@t21)) % 0.37/0.61 (step @p55 :rule arith-leq-norm :args (tptp.y -1)) % 0.37/0.61 (step @p56 :rule trans :premises (@p55 @p54)) % 0.37/0.61 (step @p57 :rule cong :premises (@p56) :args ((not @t22))) % 0.37/0.61 (step @p58 :rule trans :premises (@p57 @p46)) % 0.37/0.61 (step @p59 :rule arith-elim-leq :args (tptp.y -1)) % 0.37/0.61 (step @p60 :rule symm :premises (@p59)) % 0.37/0.61 (step @p61 :rule cong :premises (@p60) :args ((not (>= -1 tptp.y)))) % 0.37/0.61 (step @p62 :rule arith-elim-gt :args (tptp.y -1)) % 0.37/0.61 (step @p63 :rule trans :premises (@p62 @p61)) % 0.37/0.61 (step @p64 :rule trans :premises (@p63 @p58)) % 0.37/0.61 (step @p65 :rule cong :premises (@p64) :args ((not (> tptp.y -1)))) % 0.37/0.61 (step @p66 :rule symm :premises (@p65)) % 0.37/0.61 (step @p67 :rule trans :premises (@p56 @p66)) % 0.37/0.61 (step @p68 :rule arith-elim-lt :args (tptp.y 0)) % 0.37/0.61 (step @p69 :rule symm :premises (@p68)) % 0.37/0.61 (step @p70 :rule eq_resolve :premises (@p742 @p69)) % 0.37/0.61 (step @p71 :rule int_tight_ub :premises (@p70)) % 0.37/0.61 (step @p72 :rule eq_resolve :premises (@p71 @p67)) % 0.37/0.61 (step @p73 :rule symm :premises (@p64)) % 0.37/0.61 (step @p74 :rule trans :premises (@p58 @p73)) % 0.37/0.61 (assume-push @p744 @t22) % 0.37/0.61 (step @p76 :rule evaluate :args (@t23)) % 0.37/0.61 (step @p77 :rule evaluate :args (@t24)) % 0.37/0.61 (step @p78 :rule evaluate :args (@t25)) % 0.37/0.61 (step @p79 :rule refl :args (-1)) % 0.37/0.61 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t26)) % 0.37/0.61 (step @p81 :rule trans :premises (@p80 @p77)) % 0.37/0.61 (step @p82 :rule arith_poly_norm :args (@t29)) % 0.37/0.61 (step @p83 :rule cong :premises (@p82 @p81) :args ((<= @t28 @t26))) % 0.37/0.61 (step @p84 :rule trans :premises (@p83 @p76)) % 0.37/0.61 (step @p85 :rule arith_mult_neg :args (-1 @t12)) % 0.37/0.61 (step @p86 :rule evaluate :args (@t30)) % 0.37/0.61 (step @p87 :rule true_elim :premises (@p86)) % 0.37/0.61 (step @p88 :rule and_intro :premises (@p87 @p45)) % 0.37/0.61 (step @p89 :rule modus_ponens :premises (@p88 @p85)) % 0.37/0.61 (step @p90 :rule arith_sum_ub :premises (@p744 @p89)) % 0.37/0.61 (step @p91 false :rule eq_resolve :premises (@p90 @p84)) % 0.37/0.61 (step-pop @p745 :rule scope :premises (@p91)) % 0.37/0.61 (step @p92 :rule process_scope :premises (@p745) :args (false)) % 0.37/0.61 (step @p94 :rule eq_resolve :premises (@p92 @p74)) % 0.37/0.61 (step @p95 false :rule contra :premises (@p94 @p72)) % 0.37/0.61 (step-pop @p746 :rule scope :premises (@p95)) % 0.37/0.61 (step-pop @p747 :rule scope :premises (@p746)) % 0.37/0.61 (step @p96 :rule process_scope :premises (@p747) :args (false)) % 0.37/0.61 (assume-push @p748 @t12) % 0.37/0.61 (assume-push @p749 @t18) % 0.37/0.61 (step @p101 :rule and_intro :premises (@p749 @p45)) % 0.37/0.61 (step-pop @p750 :rule scope :premises (@p101)) % 0.37/0.61 (step-pop @p751 :rule scope :premises (@p750)) % 0.37/0.61 (step @p102 :rule process_scope :premises (@p751) :args (@t31)) % 0.37/0.61 (step @p105 :rule implies_elim :premises (@p102)) % 0.37/0.61 (step @p106 :rule 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0.37/0.61 (step @p733 :rule process_scope :premises (@p833) :args (@t156)) % 0.37/0.61 (step @p737 :rule implies_elim :premises (@p733)) % 0.37/0.61 (step @p738 :rule resolution :premises (@p737 @p725) :args (true @t156)) % 0.37/0.61 (step @p739 :rule not_and :premises (@p738)) % 0.37/0.61 (step @p740 :rule eq_resolve :premises (@p739 @p679)) % 0.37/0.61 (step @p741 false :rule chain_m_resolution :premises (@p740 @p675 @p34 @p22) :args (false (@list false false true) (@list @t82 @t10 @t145))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------