%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI698_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:08:09 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI698_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.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 02:31:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.37/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-const tptp.x6 Int) % 0.37/0.58 (declare-const tptp.x5 Int) % 0.37/0.58 (declare-const tptp.x4 Int) % 0.37/0.58 (declare-const tptp.x3 Int) % 0.37/0.58 (declare-const tptp.x2 Int) % 0.37/0.58 (declare-const tptp.x1 Int) % 0.37/0.58 (declare-const tptp.n Int) % 0.37/0.58 (define @t1 () (* tptp.n tptp.x1)) % 0.37/0.58 (define @t2 () (* tptp.n tptp.x2)) % 0.37/0.58 (define @t3 () (* tptp.n tptp.x3)) % 0.37/0.58 (define @t4 () (* tptp.n tptp.x4)) % 0.37/0.58 (define @t5 () (* tptp.n tptp.x5)) % 0.37/0.58 (define @t6 () (+ (+ (+ (+ (+ (* 1 tptp.x6) @t5) @t4) @t3) @t2) @t1)) % 0.37/0.58 (define @t7 () (= @t6 0)) % 0.37/0.58 (define @t8 () (* tptp.n tptp.x6)) % 0.37/0.58 (define @t9 () (* 1 tptp.x1)) % 0.37/0.58 (define @t10 () (* 1 tptp.x2)) % 0.37/0.58 (define @t11 () (* 1 tptp.x3)) % 0.37/0.58 (define @t12 () (* 0 tptp.x5)) % 0.37/0.58 (define @t13 () (+ @t8 @t12)) % 0.37/0.58 (define @t14 () (- @t13 tptp.x4)) % 0.37/0.58 (define @t15 () (+ (+ (+ @t14 @t11) @t10) @t9)) % 0.37/0.58 (define @t16 () (= @t15 0)) % 0.37/0.58 (define @t17 () (* 0 tptp.x4)) % 0.37/0.58 (define @t18 () (+ @t13 @t17)) % 0.37/0.58 (define @t19 () (- @t18 tptp.x3)) % 0.37/0.58 (define @t20 () (- @t19 tptp.x2)) % 0.37/0.58 (define @t21 () (- @t20 tptp.x1)) % 0.37/0.58 (define @t22 () (= @t21 0)) % 0.37/0.58 (define @t23 () (* 0 tptp.x3)) % 0.37/0.58 (define @t24 () (+ @t18 @t23)) % 0.37/0.58 (define @t25 () (+ (+ @t24 @t10) @t9)) % 0.37/0.58 (define @t26 () (= @t25 0)) % 0.37/0.58 (define @t27 () (- @t24 tptp.x2)) % 0.37/0.58 (define @t28 () (+ @t27 @t9)) % 0.37/0.58 (define @t29 () (= @t28 0)) % 0.37/0.58 (define @t30 () (* 0 tptp.x2)) % 0.37/0.58 (define @t31 () (+ @t24 @t30)) % 0.37/0.58 (define @t32 () (- @t31 tptp.x1)) % 0.37/0.58 (define @t33 () (= @t32 0)) % 0.37/0.58 (define @t34 () (= tptp.x1 0)) % 0.37/0.58 (define @t35 () (= tptp.x2 0)) % 0.37/0.58 (define @t36 () (= tptp.x3 0)) % 0.37/0.58 (define @t37 () (= tptp.x4 0)) % 0.37/0.58 (define @t38 () (= tptp.x5 0)) % 0.37/0.58 (define @t39 () (= tptp.x6 0)) % 0.37/0.58 (define @t40 () (and @t39 @t38 @t37 @t36 @t35 @t34)) % 0.37/0.58 (define @t41 () (not @t40)) % 0.37/0.58 (define @t42 () (* 1000 0)) % 0.37/0.58 (define @t43 () (* -1 0)) % 0.37/0.58 (define @t44 () (* -1000 0)) % 0.37/0.58 (define @t45 () (* -1 @t44)) % 0.37/0.58 (define @t46 () (+ @t44 @t45)) % 0.37/0.58 (define @t47 () (* -1 @t46)) % 0.37/0.58 (define @t48 () (+ @t47 @t45 @t42)) % 0.37/0.58 (define @t49 () (* 1000 tptp.x6)) % 0.37/0.58 (define @t50 () (* -1000 tptp.x6)) % 0.37/0.58 (define @t51 () (* 1000 tptp.x6)) % 0.37/0.58 (define @t52 () (* tptp.n tptp.x6)) % 0.37/0.58 (define @t53 () (+ @t49 tptp.x1)) % 0.37/0.58 (define @t54 () (* -1 tptp.x1)) % 0.37/0.58 (define @t55 () (+ @t50 @t54)) % 0.37/0.58 (define @t56 () (+ tptp.x1 @t51)) % 0.37/0.58 (define @t57 () (+ tptp.x1 @t52)) % 0.37/0.58 (define @t58 () (* -1 @t51)) % 0.37/0.58 (define @t59 () (+ @t54 @t58)) % 0.37/0.58 (define @t60 () (* -1 @t52)) % 0.37/0.58 (define @t61 () (+ @t54 @t60)) % 0.37/0.58 (define @t62 () (= tptp.x2 @t61)) % 0.37/0.58 (define @t63 () (+ tptp.x2 tptp.x1 @t52)) % 0.37/0.58 (define @t64 () (+ @t23 @t17 tptp.x1 tptp.x2 @t12 @t8)) % 0.37/0.58 (define @t65 () (= tptp.x2 @t57)) % 0.37/0.58 (define @t66 () (* -1 tptp.x2)) % 0.37/0.58 (define @t67 () (+ @t66 tptp.x1 @t52)) % 0.37/0.58 (define @t68 () (+ @t66 @t52)) % 0.37/0.58 (define @t69 () (+ @t66 @t23 @t17 @t12 @t8)) % 0.37/0.58 (define @t70 () (+ @t24 @t66)) % 0.37/0.58 (define @t71 () (= tptp.x1 @t52)) % 0.37/0.58 (define @t72 () (+ @t54 @t52)) % 0.37/0.58 (define @t73 () (+ @t54 @t30 @t23 @t17 @t12 @t8)) % 0.37/0.58 (define @t74 () (+ @t31 @t54)) % 0.37/0.58 (define @t75 () (+ @t66 @t54 @t52)) % 0.37/0.58 (define @t76 () (= tptp.x3 @t75)) % 0.37/0.58 (define @t77 () (* -1 tptp.x3)) % 0.37/0.58 (define @t78 () (+ @t77 @t66 @t54 @t52)) % 0.37/0.58 (define @t79 () (+ @t77 @t66 @t52)) % 0.37/0.58 (define @t80 () (+ @t77 @t52)) % 0.37/0.58 (define @t81 () (+ @t77 @t17 @t12 @t8)) % 0.37/0.58 (define @t82 () (+ @t18 @t77)) % 0.37/0.58 (define @t83 () (+ @t19 @t66)) % 0.37/0.58 (define @t84 () (+ @t20 @t54)) % 0.37/0.58 (define @t85 () (+ @t42 tptp.x3)) % 0.37/0.58 (define @t86 () (+ tptp.x3 @t46 @t44 @t42)) % 0.37/0.58 (define @t87 () (+ tptp.x3 tptp.x2 tptp.x1 @t52)) % 0.37/0.58 (define @t88 () (= tptp.x4 @t87)) % 0.37/0.58 (define @t89 () (* -1 tptp.x4)) % 0.37/0.58 (define @t90 () (+ @t89 tptp.x3 tptp.x2 tptp.x1 @t52)) % 0.37/0.58 (define @t91 () (+ @t89 @t52)) % 0.37/0.58 (define @t92 () (+ @t89 @t12 @t8)) % 0.37/0.58 (define @t93 () (+ @t13 @t89)) % 0.37/0.58 (define @t94 () (+ @t14 tptp.x1 tptp.x2 tptp.x3)) % 0.37/0.58 (define @t95 () (= 0 0)) % 0.37/0.58 (define @t96 () (= @t44 0)) % 0.37/0.58 (define @t97 () (= @t46 0)) % 0.37/0.58 (define @t98 () (and @t95 @t38 @t37 @t36 @t97 @t96)) % 0.37/0.58 (define @t99 () (not @t37)) % 0.37/0.58 (define @t100 () (not @t38)) % 0.37/0.58 (define @t101 () (not @t36)) % 0.37/0.58 (define @t102 () (+ @t89 @t77)) % 0.37/0.58 (define @t103 () (- tptp.x5 @t102)) % 0.37/0.58 (define @t104 () (* -1000 tptp.x3)) % 0.37/0.58 (define @t105 () (* -1000 tptp.x4)) % 0.37/0.58 (define @t106 () (* -1000 tptp.x5)) % 0.37/0.58 (define @t107 () (+ @t106 @t105 @t104)) % 0.37/0.58 (define @t108 () (= tptp.x5 @t102)) % 0.37/0.58 (define @t109 () (* 1000 tptp.x5)) % 0.37/0.58 (define @t110 () (* 1000 tptp.x5)) % 0.37/0.58 (define @t111 () (* -1 @t110)) % 0.37/0.58 (define @t112 () (* 1000 tptp.x4)) % 0.37/0.58 (define @t113 () (* 1000 tptp.x4)) % 0.37/0.58 (define @t114 () (* -1 @t113)) % 0.37/0.58 (define @t115 () (* 1000 tptp.x3)) % 0.37/0.58 (define @t116 () (* 1000 tptp.x3)) % 0.37/0.58 (define @t117 () (* -1 @t116)) % 0.37/0.58 (define @t118 () (* 1000 @t46)) % 0.37/0.58 (define @t119 () (* -1 @t118)) % 0.37/0.58 (define @t120 () (* 1000 @t44)) % 0.37/0.58 (define @t121 () (* -1 @t120)) % 0.37/0.58 (define @t122 () (+ @t121 @t119 @t117 @t114 @t111)) % 0.37/0.58 (define @t123 () (* tptp.n tptp.x5)) % 0.37/0.58 (define @t124 () (* -1 @t123)) % 0.37/0.58 (define @t125 () (* tptp.n tptp.x4)) % 0.37/0.58 (define @t126 () (* -1 @t125)) % 0.37/0.58 (define @t127 () (* tptp.n tptp.x3)) % 0.37/0.58 (define @t128 () (* -1 @t127)) % 0.37/0.58 (define @t129 () (* tptp.n tptp.x2)) % 0.37/0.58 (define @t130 () (* -1 @t129)) % 0.37/0.58 (define @t131 () (* tptp.n tptp.x1)) % 0.37/0.58 (define @t132 () (* -1 @t131)) % 0.37/0.58 (define @t133 () (+ @t132 @t130 @t128 @t126 @t124)) % 0.37/0.58 (define @t134 () (= tptp.x6 @t133)) % 0.37/0.58 (define @t135 () (+ tptp.x6 @t131 @t129 @t127 @t125 @t123)) % 0.37/0.58 (define @t136 () (+ @t1 @t2 @t3 @t4 @t5 tptp.x6)) % 0.37/0.58 (define @t137 () (>= tptp.x5 1)) % 0.37/0.58 (define @t138 () (* -1 1)) % 0.37/0.58 (define @t139 () (+ @t138 0 @t43 @t43)) % 0.37/0.58 (define @t140 () (* -1 tptp.x5)) % 0.37/0.58 (define @t141 () (+ @t140 @t89 @t77 tptp.x3 tptp.x4 tptp.x5)) % 0.37/0.58 (define @t142 () (+ tptp.x5 tptp.x4 tptp.x3)) % 0.37/0.58 (define @t143 () (+ @t140 @t142 @t77 @t89)) % 0.37/0.58 (define @t144 () (< -1 0)) % 0.37/0.58 (define @t145 () (= (* 1 (- @t142 0)) (* 1 @t103))) % 0.37/0.58 (define @t146 () (= @t142 0)) % 0.37/0.58 (define @t147 () (= @t146 @t108)) % 0.37/0.58 (define @t148 () (not @t137)) % 0.37/0.58 (define @t149 () (@list false false false)) % 0.37/0.58 (define @t150 () (@list @t108 @t36 @t37)) % 0.37/0.58 (define @t151 () (>= tptp.x5 0)) % 0.37/0.58 (define @t152 () (not @t108)) % 0.37/0.58 (define @t153 () (not @t151)) % 0.37/0.58 (define @t154 () (+ 0 @t43 0 0)) % 0.37/0.58 (define @t155 () (+ @t140 @t89 @t77)) % 0.37/0.58 (define @t156 () (* -1 @t142)) % 0.37/0.58 (define @t157 () (+ tptp.x5 @t156 tptp.x3 tptp.x4)) % 0.37/0.58 (define @t158 () (>= @t157 @t154)) % 0.37/0.58 (define @t159 () (and @t100 @t148 @t151)) % 0.37/0.58 (assume @p1 (= tptp.n 1000)) % 0.37/0.58 (assume @p2 @t7) % 0.37/0.58 (assume @p3 (= (- (- (- (- (- @t8 tptp.x5) tptp.x4) tptp.x3) tptp.x2) tptp.x1) 0)) % 0.37/0.58 (assume @p4 (= (- (- (- (- (+ @t8 (* 1 tptp.x5)) tptp.x4) tptp.x3) tptp.x2) tptp.x1) 0)) % 0.37/0.58 (assume @p5 (= (+ (+ (+ (+ @t13 (* 1 tptp.x4)) @t11) @t10) @t9) 0)) % 0.37/0.58 (assume @p6 @t16) % 0.37/0.58 (assume @p7 @t22) % 0.37/0.58 (assume @p8 (= (- (- (+ @t18 @t11) tptp.x2) tptp.x1) 0)) % 0.37/0.58 (assume @p9 @t26) % 0.37/0.58 (assume @p10 @t29) % 0.37/0.58 (assume @p11 @t33) % 0.37/0.58 (assume @p12 @t41) % 0.37/0.58 (assume @p13 true) % 0.37/0.58 (step @p14 :rule evaluate :args ((+ 0 0 0))) % 0.37/0.58 (step @p15 :rule evaluate :args (@t42)) % 0.37/0.58 (step @p16 :rule evaluate :args (@t43)) % 0.37/0.58 (step @p17 :rule evaluate :args (@t44)) % 0.37/0.58 (step @p18 :rule refl :args (-1)) % 0.37/0.58 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t45)) % 0.37/0.58 (step @p20 :rule trans :premises (@p19 @p16)) % 0.37/0.58 (step @p21 :rule evaluate :args ((+ 0 0))) % 0.37/0.58 (step @p22 :rule nary_cong :premises (@p17 @p20) :args (@t46)) % 0.37/0.58 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.58 (step @p24 :rule nary_cong :premises (@p18 @p23) :args (@t47)) % 0.37/0.58 (step @p25 :rule trans :premises (@p24 @p16)) % 0.37/0.58 (step @p26 :rule nary_cong :premises (@p25 @p20 @p15) :args (@t48)) % 0.37/0.58 (step @p27 :rule trans :premises (@p26 @p14)) % 0.37/0.58 (step @p28 :rule refl :args (tptp.x3)) % 0.37/0.58 (step @p29 :rule cong :premises (@p28 @p27) :args ((= tptp.x3 @t48))) % 0.37/0.58 (step @p30 :rule arith_poly_norm :args ((= (* 1 (- @t50 @t49)) (* -2000 (- tptp.x6 0))))) % 0.37/0.58 (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= (= @t50 @t49) @t39))) % 0.37/0.58 (step @p32 :rule arith_poly_norm :args ((= @t51 @t49))) % 0.37/0.58 (step @p33 :rule refl :args (@t50)) % 0.37/0.58 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t50 @t51))) % 0.37/0.58 (step @p35 :rule trans :premises (@p34 @p31)) % 0.37/0.58 (step @p36 :rule refl :args (tptp.x6)) % 0.37/0.58 (step @p37 :rule nary_cong :premises (@p1 @p36) :args (@t52)) % 0.37/0.58 (step @p38 :rule arith_poly_norm :args ((= (* 1000 (- @t55 @t53)) (* -2000 (- tptp.x1 @t50))))) % 0.37/0.58 (step @p39 :rule arith_poly_norm_rel :premises (@p38) :args ((= (= @t55 @t53) (= tptp.x1 @t50)))) % 0.37/0.58 (step @p40 :rule arith_poly_norm :args ((= (+ tptp.x1 @t49) @t53))) % 0.37/0.58 (step @p41 :rule refl :args (tptp.x1)) % 0.37/0.58 (step @p42 :rule nary_cong :premises (@p41 @p32) :args (@t56)) % 0.37/0.58 (step @p43 :rule trans :premises (@p42 @p40)) % 0.37/0.58 (step @p44 :rule refl :args (@t55)) % 0.37/0.58 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t55 @t56))) % 0.37/0.58 (step @p46 :rule trans :premises (@p45 @p39)) % 0.37/0.58 (step @p47 :rule nary_cong :premises (@p41 @p37) :args (@t57)) % 0.37/0.58 (step @p48 :rule arith_poly_norm :args ((= (+ @t54 @t50) @t55))) % 0.37/0.58 (step @p49 :rule arith_poly_norm :args ((= (* -1 @t49) @t50))) % 0.37/0.58 (step @p50 :rule nary_cong :premises (@p18 @p32) :args (@t58)) % 0.37/0.58 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.58 (step @p52 :rule refl :args (@t54)) % 0.37/0.58 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t59)) % 0.37/0.58 (step @p54 :rule trans :premises (@p53 @p48)) % 0.37/0.58 (step @p55 :rule refl :args (tptp.x2)) % 0.37/0.58 (step @p56 :rule cong :premises (@p55 @p54) :args ((= tptp.x2 @t59))) % 0.37/0.58 (step @p57 :rule nary_cong :premises (@p18 @p37) :args (@t60)) % 0.37/0.58 (step @p58 :rule nary_cong :premises (@p52 @p57) :args (@t61)) % 0.37/0.58 (step @p59 :rule cong :premises (@p55 @p58) :args (@t62)) % 0.37/0.58 (step @p60 :rule trans :premises (@p59 @p56)) % 0.37/0.58 (step @p61 :rule arith_poly_norm :args ((= (* 1 (- @t63 0)) (* 1 (- tptp.x2 @t61))))) % 0.37/0.58 (step @p62 :rule arith_poly_norm_rel :premises (@p61) :args ((= (= @t63 0) @t62))) % 0.37/0.58 (step @p63 :rule refl :args (0)) % 0.37/0.58 (step @p64 :rule arith_poly_norm :args ((= (+ 0 0 tptp.x1 tptp.x2 0 @t52) @t63))) % 0.37/0.58 (step @p65 :rule arith_poly_norm :args ((= @t8 @t52))) % 0.37/0.58 (step @p66 :rule arith_poly_norm :args ((= @t12 0))) % 0.37/0.58 (step @p67 :rule arith_poly_norm :args ((= @t17 0))) % 0.37/0.58 (step @p68 :rule arith_poly_norm :args ((= @t23 0))) % 0.37/0.58 (step @p69 :rule nary_cong :premises (@p68 @p67 @p41 @p55 @p66 @p65) :args (@t64)) % 0.37/0.58 (step @p70 :rule trans :premises (@p69 @p64)) % 0.37/0.58 (step @p71 :rule arith_poly_norm :args ((= @t25 @t64))) % 0.37/0.58 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.58 (step @p73 :rule cong :premises (@p72 @p63) :args (@t26)) % 0.37/0.58 (step @p74 :rule trans :premises (@p73 @p62)) % 0.37/0.58 (step @p75 :rule eq_resolve :premises (@p9 @p74)) % 0.37/0.58 (step @p76 :rule eq_resolve :premises (@p75 @p60)) % 0.37/0.58 (step @p77 :rule cong :premises (@p76 @p47) :args (@t65)) % 0.37/0.58 (step @p78 :rule trans :premises (@p77 @p46)) % 0.37/0.58 (step @p79 :rule arith_poly_norm :args ((= (* 1 (- @t67 0)) (* -1 (- tptp.x2 @t57))))) % 0.37/0.58 (step @p80 :rule arith_poly_norm_rel :premises (@p79) :args ((= (= @t67 0) @t65))) % 0.37/0.58 (step @p81 :rule arith_poly_norm :args ((= (+ @t68 tptp.x1) @t67))) % 0.37/0.58 (step @p82 :rule arith_poly_norm :args ((= @t9 tptp.x1))) % 0.37/0.58 (step @p83 :rule arith_poly_norm :args ((= (+ @t66 0 0 0 @t52) @t68))) % 0.37/0.58 (step @p84 :rule refl :args (@t66)) % 0.37/0.58 (step @p85 :rule nary_cong :premises (@p84 @p68 @p67 @p66 @p65) :args (@t69)) % 0.37/0.58 (step @p86 :rule trans :premises (@p85 @p83)) % 0.37/0.58 (step @p87 :rule arith_poly_norm :args ((= @t70 @t69))) % 0.37/0.58 (step @p88 :rule trans :premises (@p87 @p86)) % 0.37/0.58 (step @p89 :rule arith_poly_norm :args ((= @t27 @t70))) % 0.37/0.58 (step @p90 :rule trans :premises (@p89 @p88)) % 0.37/0.58 (step @p91 :rule nary_cong :premises (@p90 @p82) :args (@t28)) % 0.37/0.58 (step @p92 :rule trans :premises (@p91 @p81)) % 0.37/0.58 (step @p93 :rule cong :premises (@p92 @p63) :args (@t29)) % 0.37/0.58 (step @p94 :rule trans :premises (@p93 @p80)) % 0.37/0.58 (step @p95 :rule eq_resolve :premises (@p10 @p94)) % 0.37/0.58 (step @p96 :rule eq_resolve :premises (@p95 @p78)) % 0.37/0.58 (step @p97 :rule cong :premises (@p96 @p37) :args (@t71)) % 0.37/0.58 (step @p98 :rule trans :premises (@p97 @p35)) % 0.37/0.58 (step @p99 :rule arith_poly_norm :args ((= 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:premises (@p312 @p310)) % 0.37/0.58 (step @p314 :rule cong :premises (@p313 @p309) :args (@t158)) % 0.37/0.58 (step @p315 :rule trans :premises (@p314 @p306)) % 0.37/0.58 (step @p316 :rule cong :premises (@p315) :args ((not @t158))) % 0.37/0.58 (step @p317 :rule trans :premises (@p316 @p305)) % 0.37/0.58 (step @p318 :rule arith-elim-lt :args (@t157 @t154)) % 0.37/0.58 (step @p319 :rule trans :premises (@p318 @p317)) % 0.37/0.58 (step @p320 :rule arith_mult_neg :args (-1 @t146)) % 0.37/0.58 (step @p280 :rule arith_poly_norm :args (@t145)) % 0.37/0.58 (step @p281 :rule arith_poly_norm_rel :premises (@p280) :args (@t147)) % 0.37/0.58 (step @p282 :rule symm :premises (@p281)) % 0.37/0.58 (step @p283 :rule eq_resolve :premises (@p257 @p282)) % 0.37/0.58 (step @p273 :rule evaluate :args (@t144)) % 0.37/0.58 (step @p274 :rule true_elim :premises (@p273)) % 0.37/0.58 (step @p321 :rule and_intro :premises (@p274 @p283)) % 0.37/0.58 (step @p322 :rule modus_ponens :premises (@p321 @p320)) % 0.37/0.58 (step @p323 :rule arith-elim-lt :args (tptp.x5 0)) % 0.37/0.58 (step @p324 :rule symm :premises (@p323)) % 0.37/0.58 (step @p325 :rule eq_resolve :premises (@p378 @p324)) % 0.37/0.58 (step @p326 :rule arith_sum_ub :premises (@p325 @p322 @p147 @p177)) % 0.37/0.58 (step @p327 false :rule eq_resolve :premises (@p326 @p319)) % 0.37/0.58 (step-pop @p379 :rule scope :premises (@p327)) % 0.37/0.58 (step-pop @p380 :rule scope :premises (@p379)) % 0.37/0.58 (step-pop @p381 :rule scope :premises (@p380)) % 0.37/0.58 (step-pop @p382 :rule scope :premises (@p381)) % 0.37/0.58 (step @p328 :rule process_scope :premises (@p382) :args (false)) % 0.37/0.58 (step @p333 :rule not_and :premises (@p328)) % 0.37/0.58 (step @p334 :rule eq_resolve :premises (@p333 @p300)) % 0.37/0.58 (step @p335 :rule chain_m_resolution :premises (@p334 @p257 @p147 @p177) :args (@t151 @t149 @t150)) % 0.37/0.58 (step @p336 :rule bool-double-not-elim :args (@t137)) % 0.37/0.58 (step @p337 :rule refl :args (@t153)) % 0.37/0.58 (step @p338 :rule bool-double-not-elim :args (@t38)) % 0.37/0.58 (step @p339 :rule nary_cong :premises (@p338 @p337 @p336) :args ((or (not @t100) @t153 (not @t148)))) % 0.37/0.58 (assume-push @p383 @t100) % 0.37/0.58 (assume-push @p384 @t148) % 0.37/0.58 (assume-push @p385 @t151) % 0.37/0.58 (step @p323 :rule arith-elim-lt :args (tptp.x5 0)) % 0.37/0.58 (step @p343 :rule arith-elim-lt :args (tptp.x5 1)) % 0.37/0.58 (step @p344 :rule symm :premises (@p343)) % 0.37/0.58 (step @p345 :rule eq_resolve :premises (@p384 @p344)) % 0.37/0.58 (step @p346 :rule int_tight_ub :premises (@p345)) % 0.37/0.58 (step @p347 :rule arith_trichotomy :premises (@p199 @p346)) % 0.37/0.58 (step @p348 :rule eq_resolve :premises (@p347 @p323)) % 0.37/0.58 (step @p349 false :rule contra :premises (@p385 @p348)) % 0.37/0.58 (step-pop @p386 :rule scope :premises (@p349)) % 0.37/0.58 (step-pop @p387 :rule scope :premises (@p386)) % 0.37/0.58 (step-pop @p388 :rule scope :premises (@p387)) % 0.37/0.58 (step @p350 :rule process_scope :premises (@p388) :args (false)) % 0.37/0.58 (assume-push @p389 @t100) % 0.37/0.58 (assume-push @p390 @t151) % 0.37/0.58 (assume-push @p391 @t148) % 0.37/0.58 (step @p357 :rule and_intro :premises (@p199 @p391 @p390)) % 0.37/0.58 (step-pop @p392 :rule scope :premises (@p357)) % 0.37/0.58 (step-pop @p393 :rule scope :premises (@p392)) % 0.37/0.58 (step-pop @p394 :rule scope :premises (@p393)) % 0.37/0.58 (step @p358 :rule process_scope :premises (@p394) :args (@t159)) % 0.37/0.58 (step @p362 :rule implies_elim :premises (@p358)) % 0.37/0.58 (step @p363 :rule resolution :premises (@p362 @p350) :args (true @t159)) % 0.37/0.58 (step @p364 :rule not_and :premises (@p363)) % 0.37/0.58 (step @p365 :rule eq_resolve :premises (@p364 @p339)) % 0.37/0.58 (step @p366 false :rule chain_m_resolution :premises (@p365 @p335 @p295 @p199) :args (false (@list false true true) (@list @t151 @t137 @t38))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------