%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW652_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 09:05:25 AM UTC 2026 % Result : Theorem 0.51s 0.73s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWW652_2 : TPTP v9.2.1. Released v6.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.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 22:22:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_ARI % 0.51/0.73 --- Run --finite-model-find --decision=internal at 45... % 0.51/0.73 % SZS status Theorem % 0.51/0.73 % SZS output start Proof % 0.51/0.73 ( % 0.51/0.73 (declare-sort tptp.uf1 0) % 0.51/0.73 (declare-sort tptp.tuple02 0) % 0.51/0.73 (declare-sort tptp.bool1 0) % 0.51/0.73 (declare-sort tptp.ty 0) % 0.51/0.73 (declare-sort tptp.uni 0) % 0.51/0.73 (declare-sort tptp.graph1 0) % 0.51/0.73 (declare-sort tptp.uf_pure1 0) % 0.51/0.73 (declare-const tptp.path1 (-> tptp.graph1 Int Int Bool)) % 0.51/0.73 (declare-const tptp.state1 (-> tptp.uf1 tptp.uf_pure1)) % 0.51/0.73 (declare-const tptp.num1 (-> tptp.uf_pure1 Int)) % 0.51/0.73 (declare-const tptp.tuple03 tptp.tuple02) % 0.51/0.73 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 0.51/0.73 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 0.51/0.73 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 0.51/0.73 (declare-const tptp.mk_uf1 (-> tptp.uf_pure1 tptp.uf1)) % 0.51/0.73 (declare-const tptp.true1 tptp.bool1) % 0.51/0.73 (declare-const tptp.false1 tptp.bool1) % 0.51/0.73 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 0.51/0.73 (declare-const tptp.same_reprs1 (-> tptp.uf_pure1 tptp.uf_pure1 Bool)) % 0.51/0.73 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 0.51/0.73 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 0.51/0.73 (declare-const tptp.repr1 (-> tptp.uf_pure1 Int Int Bool)) % 0.51/0.73 (declare-const tptp.size1 (-> tptp.uf_pure1 Int)) % 0.51/0.73 (declare-const tptp.same1 (-> tptp.uf_pure1 Int Int Bool)) % 0.51/0.73 (define @t1 () (@var "A" tptp.ty)) % 0.51/0.73 (define @t2 () (@var "X2" tptp.uni)) % 0.51/0.73 (define @t3 () (@var "X1" tptp.uni)) % 0.51/0.73 (define @t4 () (@var "X" tptp.bool1)) % 0.51/0.73 (define @t5 () (@var "Z" tptp.uni)) % 0.51/0.73 (define @t6 () (@var "Z1" tptp.uni)) % 0.51/0.73 (define @t7 () (@list @t1 @t5 @t6)) % 0.51/0.73 (define @t8 () (@var "U" tptp.bool1)) % 0.51/0.73 (define @t9 () (@var "U" tptp.tuple02)) % 0.51/0.73 (define @t10 () (@var "Z" Int)) % 0.51/0.73 (define @t11 () (@var "Y" Int)) % 0.51/0.73 (define @t12 () (@var "X" Int)) % 0.51/0.73 (define @t13 () (@var "X" tptp.uni)) % 0.51/0.73 (define @t14 () (tptp.ref @t1)) % 0.51/0.73 (define @t15 () (@list @t1 @t13)) % 0.51/0.73 (define @t16 () (@var "U" tptp.uni)) % 0.51/0.73 (define @t17 () (@list @t1 @t16)) % 0.51/0.73 (define @t18 () (@var "U" tptp.uf_pure1)) % 0.51/0.73 (define @t19 () (tptp.repr1 @t18 @t12 @t11)) % 0.51/0.73 (define @t20 () (tptp.size1 @t18)) % 0.51/0.73 (define @t21 () (< @t11 @t20)) % 0.51/0.73 (define @t22 () (<= 0 @t11)) % 0.51/0.73 (define @t23 () (<= 0 @t12)) % 0.51/0.73 (define @t24 () (and @t23 (< @t12 @t20))) % 0.51/0.73 (define @t25 () (@var "R" Int)) % 0.51/0.73 (define @t26 () (tptp.same1 @t18 @t12 @t11)) % 0.51/0.73 (define @t27 () (@var "U2" tptp.uf_pure1)) % 0.51/0.73 (define @t28 () (@var "U1" tptp.uf_pure1)) % 0.51/0.73 (define @t29 () (@list @t18)) % 0.51/0.73 (define @t30 () (@var "U" tptp.uf1)) % 0.51/0.73 (define @t31 () (@var "G" tptp.graph1)) % 0.51/0.73 (define @t32 () (@list @t31 @t12)) % 0.51/0.73 (define @t33 () (tptp.path1 @t31 @t12 @t11)) % 0.51/0.73 (define @t34 () (@list @t31 @t12 @t11)) % 0.51/0.73 (define @t35 () (@var "Z3" Int)) % 0.51/0.73 (define @t36 () (@var "Z2" Int)) % 0.51/0.73 (define @t37 () (@var "Z1" Int)) % 0.51/0.73 (define @t38 () (= @t37 @t12)) % 0.51/0.73 (define @t39 () (@var "Z" tptp.graph1)) % 0.51/0.73 (define @t40 () (= @t39 @t31)) % 0.51/0.73 (define @t41 () (= @t36 @t12)) % 0.51/0.73 (define @t42 () (@var "N" Int)) % 0.51/0.73 (define @t43 () (* @t42 @t42)) % 0.51/0.73 (define @t44 () (* @t12 @t42)) % 0.51/0.73 (define @t45 () (+ @t44 @t11)) % 0.51/0.73 (define @t46 () (and @t22 (< @t11 @t42))) % 0.51/0.73 (define @t47 () (=> @t46 (< @t45 @t43))) % 0.51/0.73 (define @t48 () (and @t23 (< @t12 @t42))) % 0.51/0.73 (define @t49 () (=> @t48 @t47)) % 0.51/0.73 (define @t50 () (=> (<= 0 @t42) @t49)) % 0.51/0.73 (define @t51 () (@list @t42 @t12 @t11)) % 0.51/0.73 (define @t52 () (forall @t51 @t50)) % 0.51/0.73 (define @t53 () (not @t52)) % 0.51/0.73 (define @t54 () (* @t42 @t42)) % 0.51/0.73 (define @t55 () (* @t12 @t42)) % 0.51/0.73 (define @t56 () (+ @t11 @t55 (* -1 @t54))) % 0.51/0.73 (define @t57 () (>= @t56 0)) % 0.51/0.73 (define @t58 () (not @t57)) % 0.51/0.73 (define @t59 () (* -1 @t42)) % 0.51/0.73 (define @t60 () (+ @t11 @t59)) % 0.51/0.73 (define @t61 () (>= @t60 0)) % 0.51/0.73 (define @t62 () (>= @t11 0)) % 0.51/0.73 (define @t63 () (not @t62)) % 0.51/0.73 (define @t64 () (+ @t12 @t59)) % 0.51/0.73 (define @t65 () (>= @t64 0)) % 0.51/0.73 (define @t66 () (>= @t12 0)) % 0.51/0.73 (define @t67 () (not @t66)) % 0.51/0.73 (define @t68 () (>= @t42 0)) % 0.51/0.73 (define @t69 () (not @t68)) % 0.51/0.73 (define @t70 () (or @t69 @t67 @t65 @t63 @t61 @t58)) % 0.51/0.73 (define @t71 () (or @t67 @t65 @t63 @t61 @t58)) % 0.51/0.73 (define @t72 () (or @t63 @t61 @t58)) % 0.51/0.73 (define @t73 () (not @t61)) % 0.51/0.73 (define @t74 () (and @t62 @t73)) % 0.51/0.73 (define @t75 () (not @t65)) % 0.51/0.73 (define @t76 () (=> @t74 @t58)) % 0.51/0.73 (define @t77 () (and @t66 @t75)) % 0.51/0.73 (define @t78 () (=> @t77 @t76)) % 0.51/0.73 (define @t79 () (+ @t11 @t55)) % 0.51/0.73 (define @t80 () (>= @t45 @t43)) % 0.51/0.73 (define @t81 () (>= @t11 @t42)) % 0.51/0.73 (define @t82 () (>= @t12 @t42)) % 0.51/0.73 (define @t83 () (forall @t51 @t70)) % 0.51/0.73 (define @t84 () (@quantifiers_skolemize @t83 1)) % 0.51/0.73 (define @t85 () (@quantifiers_skolemize @t83 0)) % 0.51/0.73 (define @t86 () (* @t85 @t84)) % 0.51/0.73 (define @t87 () (* @t85 @t85)) % 0.51/0.73 (define @t88 () (* -1 @t87)) % 0.51/0.73 (define @t89 () (@quantifiers_skolemize @t83 2)) % 0.51/0.73 (define @t90 () (+ @t89 @t88 @t86)) % 0.51/0.73 (define @t91 () (>= @t90 0)) % 0.51/0.73 (define @t92 () (not @t91)) % 0.51/0.73 (define @t93 () (* -1 @t89)) % 0.51/0.73 (define @t94 () (+ @t85 @t93)) % 0.51/0.73 (define @t95 () (>= @t94 1)) % 0.51/0.73 (define @t96 () (not @t95)) % 0.51/0.73 (define @t97 () (not (>= @t89 0))) % 0.51/0.73 (define @t98 () (* -1 @t84)) % 0.51/0.73 (define @t99 () (+ @t85 @t98)) % 0.51/0.73 (define @t100 () (>= @t99 1)) % 0.51/0.73 (define @t101 () (not @t100)) % 0.51/0.73 (define @t102 () (>= @t84 0)) % 0.51/0.73 (define @t103 () (not @t102)) % 0.51/0.73 (define @t104 () (>= @t85 0)) % 0.51/0.73 (define @t105 () (not @t104)) % 0.51/0.73 (define @t106 () (or @t105 @t103 @t101 @t97 @t96 @t92)) % 0.51/0.73 (define @t107 () (not @t106)) % 0.51/0.73 (define @t108 () (not @t83)) % 0.51/0.73 (define @t109 () (* @t84 @t85)) % 0.51/0.73 (define @t110 () (+ @t89 @t109 @t88)) % 0.51/0.73 (define @t111 () (>= @t110 0)) % 0.51/0.73 (define @t112 () (not @t111)) % 0.51/0.73 (define @t113 () (* -1 @t85)) % 0.51/0.73 (define @t114 () (+ @t113 @t89)) % 0.51/0.73 (define @t115 () (+ @t94 1)) % 0.51/0.73 (define @t116 () (+ @t89 @t113)) % 0.51/0.73 (define @t117 () (>= @t116 0)) % 0.51/0.73 (define @t118 () (+ @t113 @t84)) % 0.51/0.73 (define @t119 () (+ @t99 1)) % 0.51/0.73 (define @t120 () (+ @t84 @t113)) % 0.51/0.73 (define @t121 () (>= @t120 0)) % 0.51/0.73 (define @t122 () (or @t105 @t103 @t121 @t97 @t117 @t112)) % 0.51/0.73 (define @t123 () (not @t122)) % 0.51/0.73 (define @t124 () (@list true)) % 0.51/0.73 (define @t125 () (@list @t106)) % 0.51/0.73 (define @t126 () (= @t85 0)) % 0.51/0.73 (define @t127 () (* -1 1)) % 0.51/0.73 (define @t128 () (* -1 0)) % 0.51/0.73 (define @t129 () (+ 0 @t128 @t127)) % 0.51/0.73 (define @t130 () (* -1 @t99)) % 0.51/0.73 (define @t131 () (+ @t85 @t98 @t130)) % 0.51/0.73 (define @t132 () (< -1 0)) % 0.51/0.73 (define @t133 () (and @t100 @t102 @t126)) % 0.51/0.73 (define @t134 () (not @t126)) % 0.51/0.73 (define @t135 () (@list false false)) % 0.51/0.73 (define @t136 () (>= @t85 1)) % 0.51/0.73 (define @t137 () (not @t136)) % 0.51/0.73 (define @t138 () (and @t136 @t100)) % 0.51/0.73 (define @t139 () (+ @t85 @t88 @t86)) % 0.51/0.73 (define @t140 () (+ @t113 @t87)) % 0.51/0.73 (define @t141 () (+ @t140 1)) % 0.51/0.73 (define @t142 () (>= @t139 1)) % 0.51/0.73 (define @t143 () (>= @t86 @t141)) % 0.51/0.73 (define @t144 () (+ -1 @t85)) % 0.51/0.73 (define @t145 () (* @t85 @t144)) % 0.51/0.73 (define @t146 () (* @t85 @t84)) % 0.51/0.73 (define @t147 () (<= @t146 @t145)) % 0.51/0.73 (define @t148 () (+ 0 1)) % 0.51/0.73 (define @t149 () (>= @t85 @t148)) % 0.51/0.73 (define @t150 () (> @t85 0)) % 0.51/0.73 (define @t151 () (and @t150 @t100)) % 0.51/0.73 (define @t152 () (<= @t84 @t144)) % 0.51/0.73 (define @t153 () (and @t150 @t152)) % 0.51/0.73 (define @t154 () (not @t142)) % 0.51/0.73 (define @t155 () (+ @t127 @t128 1)) % 0.51/0.73 (define @t156 () (* 0 @t85)) % 0.51/0.73 (define @t157 () (* 0 @t87)) % 0.51/0.73 (define @t158 () (* 0 @t86)) % 0.51/0.73 (define @t159 () (+ @t158 @t89 @t157 @t93 @t156)) % 0.51/0.73 (define @t160 () (+ (* -1 @t94) (* -1 @t90) @t139)) % 0.51/0.73 (define @t161 () (>= @t160 @t155)) % 0.51/0.73 (define @t162 () (and @t154 @t91 @t95)) % 0.51/0.73 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 0.51/0.73 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 0.51/0.73 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 0.51/0.73 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 0.51/0.73 (assume @p5 (not (= tptp.true1 tptp.false1))) % 0.51/0.73 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 0.51/0.73 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 0.51/0.73 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 0.51/0.73 (assume @p9 (forall @t15 (tptp.sort1 @t14 (tptp.mk_ref @t1 @t13)))) % 0.51/0.73 (assume @p10 (forall @t15 (tptp.sort1 @t1 (tptp.contents @t1 @t13)))) % 0.51/0.73 (assume @p11 (forall @t17 (=> (tptp.sort1 @t1 @t16) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t16)) @t16)))) % 0.51/0.73 (assume @p12 (forall @t17 (=> (tptp.sort1 @t14 @t16) (= @t16 (tptp.mk_ref @t1 (tptp.contents @t1 @t16)))))) % 0.51/0.73 (assume @p13 (forall (@list @t18 @t12) (=> @t24 (exists (@list @t11) (and @t22 @t21 @t19))))) % 0.51/0.73 (assume @p14 (forall (@list @t18 @t12 @t11 @t10) (=> @t24 (=> @t19 (=> (tptp.repr1 @t18 @t12 @t10) (= @t11 @t10)))))) % 0.51/0.73 (assume @p15 (forall (@list @t18 @t12 @t11) (= @t26 (forall (@list @t25) (= (tptp.repr1 @t18 @t12 @t25) (tptp.repr1 @t18 @t11 @t25)))))) % 0.51/0.73 (assume @p16 (forall (@list @t28 @t27) (= (tptp.same_reprs1 @t28 @t27) (forall (@list @t12 @t25) (= (tptp.repr1 @t28 @t12 @t25) (tptp.repr1 @t27 @t12 @t25)))))) % 0.51/0.73 (assume @p17 (forall @t29 (=> (= (tptp.num1 @t18) 1) (forall (@list @t12 @t11) (=> @t24 (=> (and @t22 @t21) @t26)))))) % 0.51/0.73 (assume @p18 (forall @t29 (= (tptp.state1 (tptp.mk_uf1 @t18)) @t18))) % 0.51/0.73 (assume @p19 (forall (@list @t30) (= @t30 (tptp.mk_uf1 (tptp.state1 @t30))))) % 0.51/0.73 (assume @p20 (forall @t32 (tptp.path1 @t31 @t12 @t12))) % 0.51/0.73 (assume @p21 (forall @t34 (=> @t33 (tptp.path1 @t31 @t11 @t12)))) % 0.51/0.73 (assume @p22 (forall (@list @t31 @t12 @t11 @t10) (=> @t33 (=> (tptp.path1 @t31 @t11 @t10) (tptp.path1 @t31 @t12 @t10))))) % 0.51/0.73 (assume @p23 (forall (@list @t39 @t37 @t36) (=> (tptp.path1 @t39 @t37 @t36) (or (exists @t32 (and @t40 @t38 @t41)) (exists @t34 (and @t33 @t40 (= @t37 @t11) @t41)) (exists (@list @t31 @t12 @t11 @t35) (and @t33 (tptp.path1 @t31 @t11 @t35) @t40 @t38 (= @t36 @t35))))))) % 0.51/0.73 (assume @p24 @t53) % 0.51/0.73 (assume @p25 true) % 0.51/0.73 (step @p26 :rule aci_norm :args ((= (or @t69 @t71) @t70))) % 0.51/0.73 (step @p27 :rule aci_norm :args ((= (or (or @t67 @t65) @t72) @t71))) % 0.51/0.73 (step @p28 :rule aci_norm :args ((= (or (or @t63 @t61) @t58) @t72))) % 0.51/0.73 (step @p29 :rule refl :args (@t58)) % 0.51/0.73 (step @p30 :rule bool-double-not-elim :args (@t61)) % 0.51/0.73 (step @p31 :rule refl :args (@t63)) % 0.51/0.73 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t63 (not @t73)))) % 0.51/0.73 (step @p33 :rule bool-and-de-morgan :args (@t62 @t73 true)) % 0.51/0.73 (step @p34 :rule trans :premises (@p33 @p32)) % 0.51/0.73 (step @p35 :rule nary_cong :premises (@p34 @p29) :args ((or (not @t74) @t58))) % 0.51/0.73 (step @p36 :rule trans :premises (@p35 @p28)) % 0.51/0.73 (step @p37 :rule bool-impl-elim :args (@t74 @t58)) % 0.51/0.73 (step @p38 :rule trans :premises (@p37 @p36)) % 0.51/0.73 (step @p39 :rule bool-double-not-elim :args (@t65)) % 0.51/0.73 (step @p40 :rule refl :args (@t67)) % 0.51/0.73 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t67 (not @t75)))) % 0.51/0.73 (step @p42 :rule bool-and-de-morgan :args (@t66 @t75 true)) % 0.51/0.73 (step @p43 :rule trans :premises (@p42 @p41)) % 0.51/0.73 (step @p44 :rule nary_cong :premises (@p43 @p38) :args ((or (not @t77) @t76))) % 0.51/0.73 (step @p45 :rule trans :premises (@p44 @p27)) % 0.51/0.73 (step @p46 :rule bool-impl-elim :args (@t77 @t76)) % 0.51/0.73 (step @p47 :rule trans :premises (@p46 @p45)) % 0.51/0.73 (step @p48 :rule refl :args (@t69)) % 0.51/0.73 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t69 @t78))) % 0.51/0.73 (step @p50 :rule trans :premises (@p49 @p26)) % 0.51/0.73 (step @p51 :rule bool-impl-elim :args (@t68 @t78)) % 0.51/0.73 (step @p52 :rule trans :premises (@p51 @p50)) % 0.51/0.73 (step @p53 :rule cong :premises (@p52) :args ((forall @t51 (=> @t68 @t78)))) % 0.51/0.73 (step @p54 :rule arith_poly_norm :args ((= (* 1 (- @t79 @t54)) (* 1 (- @t56 0))))) % 0.51/0.73 (step @p55 :rule arith_poly_norm_rel :premises (@p54) :args ((= (>= @t79 @t54) @t57))) % 0.51/0.73 (step @p56 :rule arith_poly_norm :args ((= @t43 @t54))) % 0.51/0.73 (step @p57 :rule arith_poly_norm :args ((= (+ @t55 @t11) @t79))) % 0.51/0.73 (step @p58 :rule refl :args (@t11)) % 0.51/0.73 (step @p59 :rule arith_poly_norm :args ((= @t44 @t55))) % 0.51/0.73 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t45)) % 0.51/0.73 (step @p61 :rule trans :premises (@p60 @p57)) % 0.51/0.73 (step @p62 :rule cong :premises (@p61 @p56) :args (@t80)) % 0.51/0.73 (step @p63 :rule trans :premises (@p62 @p55)) % 0.51/0.73 (step @p64 :rule cong :premises (@p63) :args ((not @t80))) % 0.51/0.73 (step @p65 :rule arith-elim-lt :args (@t45 @t43)) % 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:rule trans :premises (@p297 @p292)) % 0.51/0.74 (step @p299 :rule arith_poly_norm :args ((= @t160 @t159))) % 0.51/0.74 (step @p300 :rule trans :premises (@p299 @p298)) % 0.51/0.74 (step @p301 :rule cong :premises (@p300 @p291) :args (@t161)) % 0.51/0.74 (step @p302 :rule trans :premises (@p301 @p287)) % 0.51/0.74 (step @p303 :rule cong :premises (@p302) :args ((not @t161))) % 0.51/0.74 (step @p304 :rule trans :premises (@p303 @p286)) % 0.51/0.74 (step @p305 :rule arith-elim-lt :args (@t160 @t155)) % 0.51/0.74 (step @p306 :rule trans :premises (@p305 @p304)) % 0.51/0.74 (step @p307 :rule arith-elim-lt :args (@t139 1)) % 0.51/0.74 (step @p308 :rule symm :premises (@p307)) % 0.51/0.74 (step @p309 :rule eq_resolve :premises (@p362 @p308)) % 0.51/0.74 (step @p310 :rule arith_mult_neg :args (-1 @t91)) % 0.51/0.74 (step @p176 :rule evaluate :args (@t132)) % 0.51/0.74 (step @p177 :rule true_elim :premises (@p176)) % 0.51/0.74 (step @p311 :rule and_intro :premises (@p177 @p144)) % 0.51/0.74 (step @p312 :rule modus_ponens :premises (@p311 @p310)) % 0.51/0.74 (step @p313 :rule arith_mult_neg :args (-1 @t95)) % 0.51/0.74 (step @p314 :rule and_intro :premises (@p177 @p138)) % 0.51/0.74 (step @p315 :rule modus_ponens :premises (@p314 @p313)) % 0.51/0.74 (step @p316 :rule arith_sum_ub :premises (@p315 @p312 @p309)) % 0.51/0.74 (step @p317 false :rule eq_resolve :premises (@p316 @p306)) % 0.51/0.74 (step-pop @p366 :rule scope :premises (@p317)) % 0.51/0.74 (step @p318 :rule process_scope :premises (@p366) :args (false)) % 0.51/0.74 (step @p320 :rule eq_resolve :premises (@p318 @p284)) % 0.51/0.74 (step @p321 :rule eq_resolve :premises (@p320 @p283)) % 0.51/0.74 (step @p322 false :rule contra :premises (@p138 @p321)) % 0.51/0.74 (step-pop @p367 :rule scope :premises (@p322)) % 0.51/0.74 (step-pop @p368 :rule scope :premises (@p367)) % 0.51/0.74 (step-pop @p369 :rule scope :premises (@p368)) % 0.51/0.74 (step @p323 :rule process_scope :premises (@p369) :args (false)) % 0.51/0.74 (assume-push @p370 @t95) % 0.51/0.74 (assume-push @p371 @t91) % 0.51/0.74 (assume-push @p372 @t154) % 0.51/0.74 (step @p330 :rule and_intro :premises (@p372 @p144 @p138)) % 0.51/0.74 (step-pop @p373 :rule scope :premises (@p330)) % 0.51/0.74 (step-pop @p374 :rule scope :premises (@p373)) % 0.51/0.74 (step-pop @p375 :rule scope :premises (@p374)) % 0.51/0.74 (step @p331 :rule process_scope :premises (@p375) :args (@t162)) % 0.51/0.74 (step @p335 :rule implies_elim :premises (@p331)) % 0.51/0.74 (step @p336 :rule resolution :premises (@p335 @p323) :args (true @t162)) % 0.51/0.74 (step @p337 :rule not_and :premises (@p336)) % 0.51/0.74 (step @p338 :rule eq_resolve :premises (@p337 @p279)) % 0.51/0.74 (step @p339 false :rule chain_m_resolution :premises (@p338 @p275 @p144 @p138) :args (false (@list true false false) (@list @t142 @t91 @t95))) % 0.51/0.74 ) % 0.51/0.74 % SZS output end Proof % 0.51/0.74 % cvc5 exiting %------------------------------------------------------------------------------