%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM918_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:40:59 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.14 % Problem : NUM918_1 : TPTP v9.2.1. Released v5.0.0. % 0.11/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.36 % Computer : n001.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 12:32:35 EDT 2026 % 0.16/0.36 % CPUTime : % 0.27/0.52 %----Proving TF0_ARI % 0.38/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (define @t1 () (@var "V" Int)) % 0.38/0.57 (define @t2 () (@var "U" Int)) % 0.38/0.57 (define @t3 () (@var "W" Int)) % 0.38/0.57 (define @t4 () (- @t3 @t2)) % 0.38/0.57 (define @t5 () (= @t4 @t1)) % 0.38/0.57 (define @t6 () (@list @t3)) % 0.38/0.57 (define @t7 () (exists @t6 @t5)) % 0.38/0.57 (define @t8 () (@list @t2 @t1)) % 0.38/0.57 (define @t9 () (forall @t8 @t7)) % 0.38/0.57 (define @t10 () (not @t9)) % 0.38/0.57 (define @t11 () (* -1 @t1)) % 0.38/0.57 (define @t12 () (+ @t1 @t11 @t2)) % 0.38/0.57 (define @t13 () (+ @t2 (* 1 @t1))) % 0.38/0.57 (define @t14 () (+ @t11 @t13)) % 0.38/0.57 (define @t15 () (= @t2 @t14)) % 0.38/0.57 (define @t16 () (not @t15)) % 0.38/0.57 (define @t17 () (+ @t11 @t3)) % 0.38/0.57 (define @t18 () (= @t2 @t17)) % 0.38/0.57 (define @t19 () (not @t18)) % 0.38/0.57 (define @t20 () (= @t3 @t13)) % 0.38/0.57 (define @t21 () (* -1 (- @t2 @t17))) % 0.38/0.57 (define @t22 () (or @t19 @t19)) % 0.38/0.57 (define @t23 () (forall @t6 @t19)) % 0.38/0.57 (define @t24 () (not @t23)) % 0.38/0.57 (define @t25 () (* -1 @t2)) % 0.38/0.57 (define @t26 () (+ @t25 @t3)) % 0.38/0.57 (define @t27 () (+ @t3 @t25)) % 0.38/0.57 (assume @p1 @t10) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p4 :rule quant-unused-vars :args ((= (forall @t8 true) true))) % 0.38/0.57 (step @p5 :rule evaluate :args ((not false))) % 0.38/0.57 (step @p6 :rule eq-refl :args (@t2)) % 0.38/0.57 (step @p7 :rule arith_poly_norm :args ((= @t12 @t2))) % 0.38/0.57 (step @p8 :rule arith_poly_norm :args ((= @t14 @t12))) % 0.38/0.57 (step @p9 :rule trans :premises (@p8 @p7)) % 0.38/0.57 (step @p10 :rule refl :args (@t2)) % 0.38/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args (@t15)) % 0.38/0.57 (step @p12 :rule trans :premises (@p11 @p6)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12) :args (@t16)) % 0.38/0.57 (step @p14 :rule trans :premises (@p13 @p3)) % 0.38/0.57 (step @p15 :rule quant-var-elim-eq :args ((= (forall @t6 (or (not @t20) @t19)) @t16))) % 0.38/0.57 (step @p16 :rule refl :args (@t19)) % 0.38/0.57 (step @p17 :rule arith_poly_norm :args ((= @t21 (* 1 (- @t3 @t13))))) % 0.38/0.57 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= @t18 @t20))) % 0.38/0.57 (step @p19 :rule cong :premises (@p18) :args (@t19)) % 0.38/0.57 (step @p20 :rule nary_cong :premises (@p19 @p16) :args (@t22)) % 0.38/0.57 (step @p21 :rule aci_norm :args ((= @t19 @t22))) % 0.38/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22) :args (@t23)) % 0.38/0.57 (step @p24 :rule trans :premises (@p23 @p15)) % 0.38/0.57 (step @p25 :rule trans :premises (@p24 @p14)) % 0.38/0.57 (step @p26 :rule cong :premises (@p25) :args (@t24)) % 0.38/0.57 (step @p27 :rule trans :premises (@p26 @p5)) % 0.38/0.57 (step @p28 :rule exists-elim :args ((= (exists @t6 @t18) @t24))) % 0.38/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.57 (step @p30 :rule arith_poly_norm :args ((= (* 1 (- @t26 @t1)) @t21))) % 0.38/0.57 (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= (= @t26 @t1) @t18))) % 0.38/0.57 (step @p32 :rule refl :args (@t1)) % 0.38/0.57 (step @p33 :rule arith_poly_norm :args ((= @t27 @t26))) % 0.38/0.57 (step @p34 :rule arith_poly_norm :args ((= @t4 @t27))) % 0.38/0.57 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.57 (step @p36 :rule cong :premises (@p35 @p32) :args (@t5)) % 0.38/0.57 (step @p37 :rule trans :premises (@p36 @p31)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t7)) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p29)) % 0.38/0.57 (step @p40 :rule cong :premises (@p39) :args (@t9)) % 0.38/0.57 (step @p41 :rule trans :premises (@p40 @p4)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41) :args (@t10)) % 0.38/0.57 (step @p43 :rule trans :premises (@p42 @p3)) % 0.38/0.57 (step @p44 false :rule eq_resolve :premises (@p1 @p43)) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------