%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI629_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 : n012.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 08:08:01 AM UTC 2026 % Result : Theorem 0.14s 0.40s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : ARI629_1 : TPTP v9.2.1. Released v6.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Wed Jun 3 02:30:18 EDT 2026 % 0.07/0.26 % CPUTime : % 0.14/0.33 %----Proving TF0_ARI % 0.14/0.40 --- Run --finite-model-find --decision=internal at 45... % 0.14/0.40 % SZS status Theorem % 0.14/0.40 % SZS output start Proof % 0.14/0.40 ( % 0.14/0.40 (declare-const tptp.y Real) % 0.14/0.40 (declare-const tptp.x Real) % 0.14/0.40 (define @t1 () (> tptp.x 1/1)) % 0.14/0.40 (define @t2 () (* tptp.y tptp.y)) % 0.14/0.40 (define @t3 () (+ 1/1 @t2)) % 0.14/0.40 (define @t4 () (* @t3 tptp.x)) % 0.14/0.40 (define @t5 () (>= @t4 @t3)) % 0.14/0.40 (define @t6 () (not @t5)) % 0.14/0.40 (define @t7 () (* -1/1 tptp.x)) % 0.14/0.40 (define @t8 () (>= @t7 -1/1)) % 0.14/0.40 (define @t9 () (>= 1/1 tptp.x)) % 0.14/0.40 (define @t10 () (* tptp.x tptp.y tptp.y)) % 0.14/0.40 (define @t11 () (* tptp.y tptp.y)) % 0.14/0.40 (define @t12 () (* -1/1 @t11)) % 0.14/0.40 (define @t13 () (+ tptp.x @t12 @t10)) % 0.14/0.40 (define @t14 () (+ 1/1 @t11)) % 0.14/0.40 (define @t15 () (+ tptp.x @t10)) % 0.14/0.40 (define @t16 () (>= @t13 1/1)) % 0.14/0.40 (define @t17 () (>= tptp.x 0/1)) % 0.14/0.40 (define @t18 () (not @t17)) % 0.14/0.40 (define @t19 () (not @t8)) % 0.14/0.40 (define @t20 () (not @t19)) % 0.14/0.40 (define @t21 () (< tptp.x 0/1)) % 0.14/0.40 (define @t22 () (not true)) % 0.14/0.40 (define @t23 () (>= 0/1 -1/1)) % 0.14/0.40 (define @t24 () (+ 0/1 -1/1)) % 0.14/0.40 (define @t25 () (* -1/1 1/1)) % 0.14/0.40 (define @t26 () (+ 0/1 @t25)) % 0.14/0.40 (define @t27 () (+ tptp.x @t7)) % 0.14/0.40 (define @t28 () (= @t27 0/1)) % 0.14/0.40 (define @t29 () (>= @t27 @t26)) % 0.14/0.40 (define @t30 () (not @t29)) % 0.14/0.40 (define @t31 () (< -1/1 0/1)) % 0.14/0.40 (define @t32 () (and @t18 @t19)) % 0.14/0.40 (define @t33 () (@list true)) % 0.14/0.40 (define @t34 () (@list @t8)) % 0.14/0.40 (define @t35 () (>= tptp.x -1/1)) % 0.14/0.40 (define @t36 () (not @t35)) % 0.14/0.40 (define @t37 () (ite @t17 @t19 @t36)) % 0.14/0.40 (define @t38 () (@list true false)) % 0.14/0.40 (define @t39 () (= tptp.x 0/1)) % 0.14/0.40 (define @t40 () (not @t39)) % 0.14/0.40 (define @t41 () (and @t39 @t19)) % 0.14/0.40 (define @t42 () (= tptp.y 0/1)) % 0.14/0.40 (define @t43 () (= 0/1 0/1)) % 0.14/0.40 (define @t44 () (* 0/1 0/1)) % 0.14/0.40 (define @t45 () (= @t11 0/1)) % 0.14/0.40 (define @t46 () (not @t42)) % 0.14/0.40 (define @t47 () (>= @t10 0/1)) % 0.14/0.40 (define @t48 () (not @t47)) % 0.14/0.40 (define @t49 () (not @t45)) % 0.14/0.40 (define @t50 () (not @t16)) % 0.14/0.40 (define @t51 () (not @t50)) % 0.14/0.40 (define @t52 () (>= 0/1 0/1)) % 0.14/0.40 (define @t53 () (* -1/1 0/1)) % 0.14/0.40 (define @t54 () (+ @t53 1/1 @t25 0/1)) % 0.14/0.40 (define @t55 () (* -1/1 @t10)) % 0.14/0.40 (define @t56 () (+ @t55 @t7 @t12 @t10 @t11 tptp.x)) % 0.14/0.40 (define @t57 () (= @t56 0/1)) % 0.14/0.40 (define @t58 () (+ @t55 @t13 @t7 @t11)) % 0.14/0.40 (define @t59 () (>= @t58 @t54)) % 0.14/0.40 (define @t60 () (= (* tptp.x 0/1 0/1) 0/1)) % 0.14/0.40 (define @t61 () (= @t10 0/1)) % 0.14/0.40 (define @t62 () (not @t61)) % 0.14/0.40 (define @t63 () (+ 0/1 0/1)) % 0.14/0.40 (define @t64 () (+ @t53 0/1)) % 0.14/0.40 (define @t65 () (+ @t55 @t10)) % 0.14/0.40 (define @t66 () (>= @t65 @t64)) % 0.14/0.40 (define @t67 () (and @t61 @t48)) % 0.14/0.40 (define @t68 () (not @t37)) % 0.14/0.40 (define @t69 () (and @t37 @t40 @t46)) % 0.14/0.40 (define @t70 () (not @t46)) % 0.14/0.40 (define @t71 () (not @t40)) % 0.14/0.40 (define @t72 () (@list true true false)) % 0.14/0.40 (define @t73 () (+ @t12 @t10)) % 0.14/0.40 (define @t74 () (>= @t73 0/1)) % 0.14/0.40 (define @t75 () (- @t11)) % 0.14/0.40 (define @t76 () (- @t10)) % 0.14/0.40 (define @t77 () (<= @t76 @t75)) % 0.14/0.40 (define @t78 () (+ @t11 @t10)) % 0.14/0.40 (define @t79 () (>= @t78 0/1)) % 0.14/0.40 (define @t80 () (<= @t76 @t11)) % 0.14/0.40 (define @t81 () (>= @t11 0/1)) % 0.14/0.40 (define @t82 () (ite @t81 (> @t76 @t11) (> @t76 @t75))) % 0.14/0.40 (define @t83 () (+ @t12 @t55)) % 0.14/0.40 (define @t84 () (>= @t83 0/1)) % 0.14/0.40 (define @t85 () (<= @t10 @t75)) % 0.14/0.40 (define @t86 () (+ @t11 @t55)) % 0.14/0.40 (define @t87 () (>= @t86 0/1)) % 0.14/0.40 (define @t88 () (>= @t11 @t10)) % 0.14/0.40 (define @t89 () (ite @t81 (> @t10 @t11) (> @t10 @t75))) % 0.14/0.40 (define @t90 () (ite @t47 @t89 @t82)) % 0.14/0.40 (define @t91 () (>= tptp.x 1/1)) % 0.14/0.40 (define @t92 () (- 1/1)) % 0.14/0.40 (define @t93 () (- tptp.x)) % 0.14/0.40 (define @t94 () (<= @t93 @t92)) % 0.14/0.40 (define @t95 () (<= @t93 1/1)) % 0.14/0.40 (define @t96 () (>= 1/1 0/1)) % 0.14/0.40 (define @t97 () (ite @t96 (> @t93 1/1) (> @t93 @t92))) % 0.14/0.40 (define @t98 () (>= @t7 1/1)) % 0.14/0.40 (define @t99 () (<= tptp.x @t92)) % 0.14/0.40 (define @t100 () (ite @t96 @t1 (> tptp.x @t92))) % 0.14/0.40 (define @t101 () (ite @t17 @t100 @t97)) % 0.14/0.40 (define @t102 () (and @t101 @t40 @t46)) % 0.14/0.40 (define @t103 () (abs @t10)) % 0.14/0.40 (define @t104 () (abs @t11)) % 0.14/0.40 (define @t105 () (+ @t104 (* -1/1 @t103))) % 0.14/0.40 (define @t106 () (>= @t104 @t103)) % 0.14/0.40 (define @t107 () (* 1/1 tptp.y tptp.y)) % 0.14/0.40 (define @t108 () (abs @t107)) % 0.14/0.40 (define @t109 () (<= @t103 @t108)) % 0.14/0.40 (define @t110 () (not @t87)) % 0.14/0.40 (define @t111 () (ite @t81 @t110 (not @t84))) % 0.14/0.40 (define @t112 () (ite @t47 @t111 (ite @t81 (not @t79) (not @t74)))) % 0.14/0.40 (define @t113 () (@list false)) % 0.14/0.40 (define @t114 () (>= @t7 0/1)) % 0.14/0.40 (define @t115 () (not @t114)) % 0.14/0.40 (define @t116 () (= (* -1/1 (- 0/1 tptp.x)) (* -1/1 (- @t7 0/1)))) % 0.14/0.40 (define @t117 () (>= 0/1 tptp.x)) % 0.14/0.40 (define @t118 () (= @t117 @t114)) % 0.14/0.40 (define @t119 () (not (<= tptp.x 0/1))) % 0.14/0.40 (define @t120 () (not @t117)) % 0.14/0.40 (define @t121 () (and @t40 @t17)) % 0.14/0.40 (define @t122 () (and @t115 @t46)) % 0.14/0.40 (define @t123 () (>= @t55 0/1)) % 0.14/0.40 (define @t124 () (>= 0/1 @t10)) % 0.14/0.40 (define @t125 () (and (> tptp.x 0/1) @t46)) % 0.14/0.40 (define @t126 () (> @t10 0/1)) % 0.14/0.40 (define @t127 () (not @t123)) % 0.14/0.40 (define @t128 () (< @t10 0/1)) % 0.14/0.40 (define @t129 () (+ 0/1 @t53)) % 0.14/0.40 (define @t130 () (+ @t10 @t55)) % 0.14/0.40 (define @t131 () (>= @t130 @t129)) % 0.14/0.40 (define @t132 () (@list false false)) % 0.14/0.40 (define @t133 () (not @t81)) % 0.14/0.40 (define @t134 () (< @t11 0/1)) % 0.14/0.40 (define @t135 () (+ 0/1 @t53 @t25 1/1)) % 0.14/0.40 (define @t136 () (+ @t11 @t55 @t7 @t13)) % 0.14/0.40 (define @t137 () (>= @t136 @t135)) % 0.14/0.40 (define @t138 () (and @t50 @t19 @t47 @t133)) % 0.14/0.40 (define @t139 () (< @t86 0/1)) % 0.14/0.40 (define @t140 () (+ 0/1 1/1 @t25)) % 0.14/0.40 (define @t141 () (+ @t7 @t55 @t12 @t10 @t11 tptp.x)) % 0.14/0.40 (define @t142 () (+ @t86 @t13 @t7)) % 0.14/0.40 (define @t143 () (>= @t142 @t140)) % 0.14/0.40 (assume @p1 @t1) % 0.14/0.40 (assume @p2 @t6) % 0.14/0.40 (assume @p3 true) % 0.14/0.40 (step @p4 :rule arith_poly_norm :args ((= (* 1/1 (- 1/1 tptp.x)) (* 1/1 (- @t7 -1/1))))) % 0.14/0.40 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= @t9 @t8))) % 0.14/0.40 (step @p6 :rule arith-elim-leq :args (tptp.x 1/1)) % 0.14/0.40 (step @p7 :rule trans :premises (@p6 @p5)) % 0.14/0.40 (step @p8 :rule cong :premises (@p7) :args ((not (<= tptp.x 1/1)))) % 0.14/0.40 (step @p9 :rule symm :premises (@p6)) % 0.14/0.40 (step @p10 :rule cong :premises (@p9) :args ((not @t9))) % 0.14/0.40 (step @p11 :rule arith-elim-gt :args (tptp.x 1/1)) % 0.14/0.40 (step @p12 :rule trans :premises (@p11 @p10)) % 0.14/0.40 (step @p13 :rule trans :premises (@p12 @p8)) % 0.14/0.40 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 0.14/0.40 (step @p15 :rule arith_poly_norm :args ((= (* -1/1 (- @t15 @t14)) (* -1/1 (- @t13 1/1))))) % 0.14/0.40 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= (>= @t15 @t14) @t16))) % 0.14/0.40 (step @p17 :rule arith_poly_norm :args ((= @t2 @t11))) % 0.14/0.40 (step @p18 :rule refl :args (1/1)) % 0.14/0.40 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t3)) % 0.14/0.40 (step @p20 :rule arith_poly_norm :args ((= (* @t14 tptp.x) @t15))) % 0.14/0.40 (step @p21 :rule refl :args (tptp.x)) % 0.14/0.40 (step @p22 :rule nary_cong :premises (@p19 @p21) :args (@t4)) % 0.14/0.40 (step @p23 :rule trans :premises (@p22 @p20)) % 0.14/0.40 (step @p24 :rule cong :premises (@p23 @p19) :args (@t5)) % 0.14/0.40 (step @p25 :rule trans :premises (@p24 @p16)) % 0.14/0.40 (step @p26 :rule cong :premises (@p25) :args (@t6)) % 0.14/0.40 (step @p27 :rule eq_resolve :premises (@p2 @p26)) % 0.14/0.40 (step @p28 :rule bool-double-not-elim :args (@t17)) % 0.14/0.40 (step @p29 :rule bool-double-not-elim :args (@t8)) % 0.14/0.40 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t20 (not @t18)))) % 0.14/0.40 (assume-push @p565 @t18) % 0.14/0.40 (assume-push @p566 @t19) % 0.14/0.40 (step @p33 :rule arith-elim-lt :args (tptp.x 0/1)) % 0.14/0.40 (step @p34 :rule symm :premises (@p33)) % 0.14/0.40 (step @p35 :rule eq_resolve :premises (@p565 @p34)) % 0.14/0.40 (step @p36 :rule eq_resolve :premises (@p35 @p33)) % 0.14/0.40 (step @p37 :rule cong :premises (@p33) :args ((not @t21))) % 0.14/0.40 (step @p38 :rule trans :premises (@p37 @p28)) % 0.14/0.40 (assume-push @p567 @t21) % 0.14/0.40 (step @p40 :rule evaluate :args (@t22)) % 0.14/0.40 (step @p41 :rule evaluate :args (@t23)) % 0.14/0.40 (step @p42 :rule evaluate :args (@t24)) % 0.14/0.40 (step @p43 :rule evaluate :args (@t25)) % 0.14/0.40 (step @p44 :rule refl :args (0/1)) % 0.14/0.40 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t26)) % 0.14/0.40 (step @p46 :rule trans :premises (@p45 @p42)) % 0.14/0.40 (step @p47 :rule arith_poly_norm :args (@t28)) % 0.14/0.40 (step @p48 :rule cong :premises (@p47 @p46) :args (@t29)) % 0.14/0.40 (step @p49 :rule trans :premises (@p48 @p41)) % 0.14/0.40 (step @p50 :rule cong :premises (@p49) :args (@t30)) % 0.14/0.40 (step @p51 :rule trans :premises (@p50 @p40)) % 0.14/0.40 (step @p52 :rule arith-elim-lt :args (@t27 @t26)) % 0.14/0.40 (step @p53 :rule trans :premises (@p52 @p51)) % 0.14/0.40 (step @p54 :rule arith_mult_neg :args (-1/1 @t1)) % 0.14/0.40 (step @p55 :rule evaluate :args (@t31)) % 0.14/0.40 (step @p56 :rule true_elim :premises (@p55)) % 0.14/0.40 (step @p57 :rule and_intro :premises (@p56 @p1)) % 0.14/0.40 (step @p58 :rule modus_ponens :premises (@p57 @p54)) % 0.14/0.40 (step @p59 :rule arith_sum_ub :premises (@p567 @p58)) % 0.14/0.40 (step @p60 false :rule eq_resolve :premises (@p59 @p53)) % 0.14/0.40 (step-pop @p568 :rule scope :premises (@p60)) % 0.14/0.40 (step @p61 :rule process_scope :premises (@p568) :args (false)) % 0.14/0.40 (step @p63 :rule eq_resolve :premises (@p61 @p38)) % 0.14/0.40 (step @p64 false :rule contra :premises (@p63 @p36)) % 0.14/0.40 (step-pop @p569 :rule scope :premises (@p64)) % 0.14/0.40 (step-pop @p570 :rule scope :premises (@p569)) % 0.14/0.40 (step @p65 :rule process_scope :premises (@p570) :args (false)) % 0.14/0.40 (assume-push @p571 @t19) % 0.14/0.40 (assume-push @p572 @t18) % 0.14/0.40 (step @p70 :rule and_intro :premises (@p572 @p14)) % 0.14/0.40 (step-pop @p573 :rule scope :premises (@p70)) % 0.14/0.40 (step-pop @p574 :rule scope :premises (@p573)) % 0.14/0.40 (step @p71 :rule process_scope :premises (@p574) :args (@t32)) % 0.14/0.40 (step @p74 :rule implies_elim :premises (@p71)) % 0.14/0.40 (step @p75 :rule resolution :premises (@p74 @p65) :args (true @t32)) % 0.14/0.40 (step @p76 :rule not_and :premises (@p75)) % 0.14/0.40 (step @p77 :rule eq_resolve :premises (@p76 @p30)) % 0.14/0.40 (step @p78 :rule chain_m_resolution :premises (@p77 @p14) :args (@t17 @t33 @t34)) % 0.14/0.40 (step @p79 :rule refl :args (@t18)) % 0.14/0.40 (step @p80 :rule refl :args (@t37)) % 0.14/0.40 (step @p81 :rule nary_cong :premises (@p80 @p79 @p29) :args ((or @t37 @t18 @t20))) % 0.14/0.40 (step @p82 :rule cnf_ite_neg1 :args (@t37)) % 0.14/0.40 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.14/0.40 (step @p84 :rule reordering :premises (@p83) :args ((or @t8 @t37 @t18))) % 0.14/0.40 (step @p85 :rule chain_m_resolution :premises (@p84 @p14 @p78) :args (@t37 @t38 (@list @t8 @t17))) % 0.14/0.40 (step @p86 :rule refl :args (@t40)) % 0.14/0.40 (step @p87 :rule nary_cong :premises (@p29 @p86) :args ((or @t20 @t40))) % 0.14/0.40 (assume-push @p575 @t39) % 0.14/0.40 (assume-push @p576 @t19) % 0.14/0.40 (assume-push @p577 @t39) % 0.14/0.40 (step @p40 :rule evaluate :args (@t22)) % 0.14/0.40 (step @p41 :rule evaluate :args (@t23)) % 0.14/0.40 (step @p42 :rule evaluate :args (@t24)) % 0.14/0.40 (step @p43 :rule evaluate :args (@t25)) % 0.14/0.40 (step @p44 :rule refl :args (0/1)) % 0.14/0.40 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t26)) % 0.14/0.40 (step @p46 :rule trans :premises (@p45 @p42)) % 0.14/0.40 (step @p47 :rule arith_poly_norm :args (@t28)) % 0.14/0.40 (step @p48 :rule cong :premises (@p47 @p46) :args (@t29)) % 0.14/0.40 (step @p49 :rule trans :premises (@p48 @p41)) % 0.14/0.40 (step @p50 :rule cong :premises (@p49) :args (@t30)) % 0.14/0.40 (step @p51 :rule trans :premises (@p50 @p40)) % 0.14/0.40 (step @p52 :rule arith-elim-lt :args (@t27 @t26)) % 0.14/0.40 (step @p53 :rule trans :premises (@p52 @p51)) % 0.14/0.40 (step @p54 :rule arith_mult_neg :args (-1/1 @t1)) % 0.14/0.40 (step @p55 :rule evaluate :args (@t31)) % 0.14/0.40 (step @p56 :rule true_elim :premises (@p55)) % 0.14/0.40 (step @p57 :rule and_intro :premises (@p56 @p1)) % 0.14/0.40 (step @p58 :rule modus_ponens :premises 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:rule reordering :premises (@p524) :args ((or @t133 @t110 (not @t111)))) % 0.14/0.40 (step @p526 :rule chain_m_resolution :premises (@p525 @p523 @p470) :args (@t110 @t132 (@list @t81 @t111))) % 0.14/0.40 (step @p527 :rule bool-double-not-elim :args (@t87)) % 0.14/0.40 (step @p528 :rule nary_cong :premises (@p29 @p125 @p527) :args ((or @t20 @t51 (not @t110)))) % 0.14/0.40 (assume-push @p645 @t19) % 0.14/0.40 (assume-push @p646 @t50) % 0.14/0.40 (assume-push @p647 @t110) % 0.14/0.40 (step @p532 :rule arith-elim-lt :args (@t86 0/1)) % 0.14/0.40 (step @p533 :rule cong :premises (@p532) :args ((not @t139))) % 0.14/0.40 (step @p534 :rule trans :premises (@p533 @p527)) % 0.14/0.40 (step @p535 :rule symm :premises (@p534)) % 0.14/0.40 (assume-push @p648 @t139) % 0.14/0.40 (step @p40 :rule evaluate :args (@t22)) % 0.14/0.40 (step @p131 :rule evaluate :args (@t52)) % 0.14/0.40 (step @p537 :rule evaluate :args ((+ 0/1 1/1 -1/1))) % 0.14/0.40 (step @p43 :rule evaluate :args (@t25)) % 0.14/0.40 (step @p44 :rule refl :args (0/1)) % 0.14/0.40 (step @p538 :rule nary_cong :premises (@p44 @p18 @p43) :args (@t140)) % 0.14/0.40 (step @p539 :rule trans :premises (@p538 @p537)) % 0.14/0.40 (step @p540 :rule arith_poly_norm :args ((= @t141 0/1))) % 0.14/0.40 (step @p541 :rule arith_poly_norm :args ((= @t142 @t141))) % 0.14/0.40 (step @p542 :rule trans :premises (@p541 @p540)) % 0.14/0.40 (step @p543 :rule cong :premises (@p542 @p539) :args (@t143)) % 0.14/0.40 (step @p544 :rule trans :premises (@p543 @p131)) % 0.14/0.40 (step @p545 :rule cong :premises (@p544) :args ((not @t143))) % 0.14/0.40 (step @p546 :rule trans :premises (@p545 @p40)) % 0.14/0.40 (step @p547 :rule arith-elim-lt :args (@t142 @t140)) % 0.14/0.40 (step @p548 :rule trans :premises (@p547 @p546)) % 0.14/0.40 (step @p54 :rule arith_mult_neg :args (-1/1 @t1)) % 0.14/0.40 (step @p55 :rule evaluate :args (@t31)) % 0.14/0.40 (step @p56 :rule true_elim :premises (@p55)) % 0.14/0.40 (step @p57 :rule and_intro :premises (@p56 @p1)) % 0.14/0.40 (step @p58 :rule modus_ponens :premises (@p57 @p54)) % 0.14/0.40 (step @p145 :rule arith-elim-lt :args (@t13 1/1)) % 0.14/0.40 (step @p146 :rule symm :premises (@p145)) % 0.14/0.40 (step @p147 :rule eq_resolve :premises (@p27 @p146)) % 0.14/0.40 (step @p549 :rule arith_sum_ub :premises (@p648 @p147 @p58)) % 0.14/0.40 (step @p550 false :rule eq_resolve :premises (@p549 @p548)) % 0.14/0.40 (step-pop @p649 :rule scope :premises (@p550)) % 0.14/0.40 (step @p551 :rule process_scope :premises (@p649) :args (false)) % 0.14/0.40 (step @p553 :rule eq_resolve :premises (@p551 @p534)) % 0.14/0.40 (step @p554 :rule eq_resolve :premises (@p553 @p535)) % 0.14/0.40 (step @p555 :rule symm :premises (@p532)) % 0.14/0.40 (step @p556 :rule eq_resolve :premises (@p647 @p555)) % 0.14/0.40 (step @p557 false :rule contra :premises (@p556 @p554)) % 0.14/0.40 (step-pop @p650 :rule scope :premises (@p557)) % 0.14/0.40 (step-pop @p651 :rule scope :premises (@p650)) % 0.14/0.40 (step-pop @p652 :rule scope :premises (@p651)) % 0.14/0.40 (step @p558 :rule process_scope :premises (@p652) :args (false)) % 0.14/0.40 (step @p562 :rule not_and :premises (@p558)) % 0.14/0.40 (step @p563 :rule eq_resolve :premises (@p562 @p528)) % 0.14/0.40 (step @p564 false :rule chain_m_resolution :premises (@p563 @p526 @p27 @p14) :args (false (@list true true true) (@list @t87 @t16 @t8))) % 0.14/0.40 ) % 0.14/0.40 % SZS output end Proof % 0.14/0.40 % cvc5 exiting %------------------------------------------------------------------------------