0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : do_CVC4 %s %d 0.13/0.35 % Computer : n021.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Thu Jul 2 07:44:53 EDT 2020 0.13/0.35 % CPUTime : 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF 0.20/0.49 ------- cvc4-fof casc j10 : /export/starexec/sandbox/benchmark/theBenchmark.p at 960... 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 20.50/20.69 --- Run --no-e-matching --full-saturate-quant at 20... 20.61/20.86 % SZS status Theorem for theBenchmark 20.61/20.86 % SZS output start Proof for theBenchmark 20.61/20.86 (skolem (forall ((Vd162 $$unsorted)) (let ((_let_0 (vsucc Vd162))) (or (not (= (vplus v1 Vd162) _let_0)) (not (= vd151 _let_0)))) ) 20.61/20.86 ( skv_1 ) 20.61/20.86 ) 20.61/20.86 (skolem (forall ((Vd170 $$unsorted)) (or (not (= vd151 (vplus vd165 Vd170))) (= v1 Vd170)) ) 20.61/20.86 ( skv_2 ) 20.61/20.86 ) 20.61/20.86 (skolem (forall ((Vd157 $$unsorted)) (not (= v1 (vplus vd165 Vd157))) ) 20.61/20.86 ( skv_3 ) 20.61/20.86 ) 20.61/20.86 (skolem (forall ((Vd155 $$unsorted)) (not (= vd165 (vplus v1 Vd155))) ) 20.61/20.86 ( skv_4 ) 20.61/20.86 ) 20.61/20.86 (skolem (forall ((Vd157 $$unsorted)) (not (= (vsucc vd165) (vplus vd165 Vd157))) ) 20.61/20.86 ( skv_5 ) 20.61/20.86 ) 20.61/20.86 (skolem (forall ((Vd157 $$unsorted)) (not (= (vsucc vd165) (vplus v1 Vd157))) ) 20.61/20.86 ( skv_6 ) 20.61/20.86 ) 20.61/20.86 (skolem (forall ((Vd155 $$unsorted)) (not (= vd165 (vplus (vsucc vd165) Vd155))) ) 20.61/20.86 ( skv_7 ) 20.61/20.86 ) 20.61/20.86 (skolem (forall ((Vd155 $$unsorted)) (not (= v1 (vplus (vsucc vd165) Vd155))) ) 20.61/20.86 ( skv_8 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd16 $$unsorted)) (not (= Vd16 (vsucc Vd16))) ) 20.61/20.86 ( vd165 ) 20.61/20.86 ( v1 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( (vplus (vsucc vd165) vskolem3) ) 20.61/20.86 ( (vplus v1 vskolem3) ) 20.61/20.86 ( skv_1 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd78 $$unsorted) (Vd79 $$unsorted)) (= (vplus Vd78 Vd79) (vplus Vd79 Vd78)) ) 20.61/20.86 ( vd165, vd165 ) 20.61/20.86 ( vd165, v1 ) 20.61/20.86 ( vd165, vd151 ) 20.61/20.86 ( vd165, (vplus vd151 v1) ) 20.61/20.86 ( vd165, vskolem3 ) 20.61/20.86 ( vd165, skv_1 ) 20.61/20.86 ( v1, (vsucc vd165) ) 20.61/20.86 ( vd151, vd165 ) 20.61/20.86 ( vd151, v1 ) 20.61/20.86 ( (vplus vd151 v1), (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165), (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165), (vsucc vd165) ) 20.61/20.86 ( (vsucc vd165), (vplus v1 vskolem3) ) 20.61/20.86 ( (vplus v1 vskolem3), (vplus v1 vskolem3) ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd151 $$unsorted) (Vd152 $$unsorted)) (= (or (not (forall ((Vd157 $$unsorted)) (not (= Vd152 (vplus Vd151 Vd157))) )) (not (forall ((Vd155 $$unsorted)) (not (= Vd151 (vplus Vd152 Vd155))) )) (= Vd151 Vd152)) (m Vd152)) ) 20.61/20.86 ( vd165, v1 ) 20.61/20.86 ( vd165, vd151 ) 20.61/20.86 ( vd165, (vsucc vd165) ) 20.61/20.86 ( v1, vd165 ) 20.61/20.86 ( v1, (vsucc vd165) ) 20.61/20.86 ( (vsucc vd165), vd165 ) 20.61/20.86 ( (vsucc vd165), v1 ) 20.61/20.86 ( (vsucc skv_1), vd151 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd7 $$unsorted) (Vd8 $$unsorted)) (or (= Vd7 Vd8) (not (= (vsucc Vd8) (vsucc Vd7)))) ) 20.61/20.86 ( vd165, v1 ) 20.61/20.86 ( vd165, (vplus vd151 v1) ) 20.61/20.86 ( vd165, (vsucc vd165) ) 20.61/20.86 ( vd165, (vplus v1 vskolem3) ) 20.61/20.86 ( vd165, (vskolem2 (vplus vd165 v1)) ) 20.61/20.86 ( v1, (vplus vd151 v1) ) 20.61/20.86 ( v1, (vsucc vd165) ) 20.61/20.86 ( vd151, vd165 ) 20.61/20.86 ( vd151, (vskolem2 (vplus vd151 v1)) ) 20.61/20.86 ( (vplus vd165 v1), (vskolem2 (vplus (vsucc vd165) vskolem3)) ) 20.61/20.86 ( (vsucc vd165), (vplus vd151 v1) ) 20.61/20.86 ( skv_1, (vskolem2 vd151) ) 20.61/20.86 ( (vplus vd165 vd165), (vplus vd151 vd165) ) 20.61/20.86 ( (vplus vd151 vd165), (vplus vd165 vd165) ) 20.61/20.86 ( (vskolem2 vd151), skv_1 ) 20.61/20.86 ( (vskolem2 (vplus vd151 v1)), vd151 ) 20.61/20.86 ( (vskolem2 (vplus vd165 v1)), vd165 ) 20.61/20.86 ( (vskolem2 (vplus (vsucc vd165) vskolem3)), (vplus vd165 v1) ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd24 $$unsorted)) (or (= Vd24 v1) (= Vd24 (vsucc (vskolem2 Vd24)))) ) 20.61/20.86 ( vd165 ) 20.61/20.86 ( vd151 ) 20.61/20.86 ( (vplus vd165 v1) ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( (vplus (vsucc vd165) vskolem3) ) 20.61/20.86 ( (vplus v1 vskolem3) ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd144 $$unsorted) (BOUND_VARIABLE_696 $$unsorted)) (not (= Vd144 (vplus Vd144 BOUND_VARIABLE_696))) ) 20.61/20.86 ( vd165, vd165 ) 20.61/20.86 ( v1, v1 ) 20.61/20.86 ( v1, (vsucc vd165) ) 20.61/20.86 ( (vplus vd151 v1), (vsucc vd165) ) 20.61/20.86 ( (vsucc vd165), (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165), (vsucc vd165) ) 20.61/20.86 ( (vsucc vd165), (vplus v1 vskolem3) ) 20.61/20.86 ( (vplus (vsucc vd165) vskolem3), vskolem3 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd68 $$unsorted) (Vd69 $$unsorted)) (= (vplus (vsucc Vd68) Vd69) (vsucc (vplus Vd68 Vd69))) ) 20.61/20.86 ( vd165, vd165 ) 20.61/20.86 ( vd165, v1 ) 20.61/20.86 ( vd165, (vplus vd151 v1) ) 20.61/20.86 ( vd165, (vsucc vd165) ) 20.61/20.86 ( v1, vd165 ) 20.61/20.86 ( v1, v1 ) 20.61/20.86 ( v1, (vsucc vd165) ) 20.61/20.86 ( (vsucc vd165), vd165 ) 20.61/20.86 ( (vsucc vd165), (vsucc vd165) ) 20.61/20.86 ( skv_1, v1 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd104 $$unsorted) (Vd105 $$unsorted) (BOUND_VARIABLE_722 $$unsorted)) (or (= Vd104 Vd105) (not (= (vplus BOUND_VARIABLE_722 Vd105) (vplus BOUND_VARIABLE_722 Vd104)))) ) 20.61/20.86 ( vd165, v1, vd165 ) 20.61/20.86 ( vd165, v1, (vplus vd151 v1) ) 20.61/20.86 ( vd165, v1, (vsucc vd165) ) 20.61/20.86 ( vd165, v1, (vplus v1 vskolem3) ) 20.61/20.86 ( vd165, (vsucc vd165), vd165 ) 20.61/20.86 ( vd165, (vsucc vd165), (vsucc vd165) ) 20.61/20.86 ( vd165, skv_6, v1 ) 20.61/20.86 ( v1, (vsucc vd165), (vsucc vd165) ) 20.61/20.86 ( v1, skv_5, vd165 ) 20.61/20.86 ( (vplus vd151 v1), (vsucc vd165), vd165 ) 20.61/20.86 ( skv_5, v1, vd165 ) 20.61/20.86 ( skv_6, vd165, v1 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd1 $$unsorted)) (not (= v1 (vsucc Vd1))) ) 20.61/20.86 ( vd165 ) 20.61/20.86 ( v1 ) 20.61/20.86 ( vd151 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( skv_2 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd170 $$unsorted)) (or (not (= vd151 (vplus vd165 Vd170))) (= v1 Vd170)) ) 20.61/20.86 ( vd165 ) 20.61/20.86 ( vd151 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( (vplus (vsucc vd165) vskolem3) ) 20.61/20.86 ( skv_2 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd145 $$unsorted) (BOUND_VARIABLE_792 $$unsorted) (BOUND_VARIABLE_796 $$unsorted)) (not (= Vd145 (vplus (vplus Vd145 BOUND_VARIABLE_792) BOUND_VARIABLE_796))) ) 20.61/20.86 ( vd165, vd165, vd165 ) 20.61/20.86 ( vd165, vd165, v1 ) 20.61/20.86 ( vd165, vd165, (vsucc vd165) ) 20.61/20.86 ( vd165, v1, v1 ) 20.61/20.86 ( vd165, (vsucc vd165), v1 ) 20.61/20.86 ( v1, vd165, vd165 ) 20.61/20.86 ( v1, v1, v1 ) 20.61/20.86 ( (vplus vd151 v1), skv_1, v1 ) 20.61/20.86 ( (vplus v1 skv_4), skv_3, skv_4 ) 20.61/20.86 ( (vplus (vsucc vd165) skv_7), v1, skv_7 ) 20.61/20.86 ( (vplus (vsucc vd165) skv_8), vd165, skv_8 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd59 $$unsorted)) (= (vplus v1 Vd59) (vsucc Vd59)) ) 20.61/20.86 ( vd165 ) 20.61/20.86 ( vd151 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ( (vplus (vsucc vd165) vskolem3) ) 20.61/20.86 ( (vplus v1 vskolem3) ) 20.61/20.86 ( skv_2 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd170 $$unsorted)) (or (not (= vd151 (vplus vd165 Vd170))) (= v1 Vd170) (= Vd170 (vsucc vskolem3))) ) 20.61/20.86 ( vd165 ) 20.61/20.86 ( vd151 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( (vplus (vsucc vd165) vskolem3) ) 20.61/20.86 ( skv_2 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd180 $$unsorted)) (not (= vd165 (vplus vd151 Vd180))) ) 20.61/20.86 ( vd165 ) 20.61/20.86 ( v1 ) 20.61/20.86 ( vd151 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( skv_1 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd180 $$unsorted)) (let ((_let_0 (vplus vd151 Vd180))) (or (not (= vd165 _let_0)) (= (vsucc vd165) (vsucc _let_0)))) ) 20.61/20.86 ( vd165 ) 20.61/20.86 ( v1 ) 20.61/20.86 ( vd151 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( skv_1 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd180 $$unsorted)) (let ((_let_0 (vplus vd151 Vd180))) (or (not (= vd165 _let_0)) (= (vsucc _let_0) (vplus vd151 (vsucc Vd180))))) ) 20.61/20.86 ( vd165 ) 20.61/20.86 ( v1 ) 20.61/20.86 ( vd151 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( skv_1 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd46 $$unsorted) (Vd47 $$unsorted) (Vd48 $$unsorted)) (= (vplus Vd46 (vplus Vd47 Vd48)) (vplus (vplus Vd46 Vd47) Vd48)) ) 20.61/20.86 ( vd165, vd165, vd165 ) 20.61/20.86 ( vd165, vd165, v1 ) 20.61/20.86 ( vd165, vd165, (vsucc vd165) ) 20.61/20.86 ( vd165, v1, (vsucc vd165) ) 20.61/20.86 ( vd165, v1, vskolem3 ) 20.61/20.86 ( vd165, v1, skv_1 ) 20.61/20.86 ( vd165, (vsucc vd165), vd165 ) 20.61/20.86 ( vd165, (vsucc vd165), v1 ) 20.61/20.86 ( v1, vd165, vd165 ) 20.61/20.86 ( v1, v1, v1 ) 20.61/20.86 ( v1, skv_1, v1 ) 20.61/20.86 ( vd151, v1, vd165 ) 20.61/20.86 ( vd151, v1, (vsucc vd165) ) 20.61/20.86 ( vd151, v1, skv_1 ) 20.61/20.86 ( vd151, vd151, v1 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd170 $$unsorted)) (not (= vd151 (vplus vd165 Vd170))) ) 20.61/20.86 ( vd165 ) 20.61/20.86 ( v1 ) 20.61/20.86 ( vd151 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( (vplus (vsucc vd165) vskolem3) ) 20.61/20.86 ( (vplus v1 vskolem3) ) 20.61/20.86 ( skv_1 ) 20.61/20.86 ( skv_2 ) 20.61/20.86 ( skv_3 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd92 $$unsorted) (Vd93 $$unsorted)) (not (= Vd93 (vplus Vd92 Vd93))) ) 20.61/20.86 ( vd165, vd165 ) 20.61/20.86 ( vd165, (vplus vd151 v1) ) 20.61/20.86 ( vd165, (vsucc vd165) ) 20.61/20.86 ( v1, v1 ) 20.61/20.86 ( (vsucc vd165), (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165), (vsucc vd165) ) 20.61/20.86 ( (vsucc vd165), (vplus v1 vskolem3) ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((BOUND_VARIABLE_1050 $$unsorted)) (= (vplus BOUND_VARIABLE_1050 v1) (vsucc BOUND_VARIABLE_1050)) ) 20.61/20.86 ( v1 ) 20.61/20.86 ( vd151 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( (vplus (vsucc vd165) vskolem3) ) 20.61/20.86 ( skv_1 ) 20.61/20.86 ( skv_2 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((BOUND_VARIABLE_1057 $$unsorted) (BOUND_VARIABLE_1058 $$unsorted)) (= (vsucc (vplus BOUND_VARIABLE_1057 BOUND_VARIABLE_1058)) (vplus BOUND_VARIABLE_1057 (vsucc BOUND_VARIABLE_1058))) ) 20.61/20.86 ( vd165, vd165 ) 20.61/20.86 ( vd165, v1 ) 20.61/20.86 ( vd165, (vsucc vd165) ) 20.61/20.86 ( v1, v1 ) 20.61/20.86 ( v1, (vsucc vd165) ) 20.61/20.86 ( vd151, vd165 ) 20.61/20.86 ( vd151, v1 ) 20.61/20.86 ( vd151, (vplus vd151 v1) ) 20.61/20.86 ( vd151, (vsucc vd165) ) 20.61/20.86 ( vd151, skv_1 ) 20.61/20.86 ( (vplus vd151 v1), vd165 ) 20.61/20.86 ( (vsucc vd165), vd165 ) 20.61/20.86 ( (vsucc vd165), v1 ) 20.61/20.86 ( (vsucc vd165), (vsucc vd165) ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd155 $$unsorted)) (not (= vd165 (vplus v1 Vd155))) ) 20.61/20.86 ( v1 ) 20.61/20.86 ( (vplus vd151 v1) ) 20.61/20.86 ( vskolem3 ) 20.61/20.86 ( (vplus v1 vskolem3) ) 20.61/20.86 ( skv_2 ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd155 $$unsorted)) (not (= vd165 (vplus (vsucc vd165) Vd155))) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ( (vplus v1 vskolem3) ) 20.61/20.86 ) 20.61/20.86 (instantiation (forall ((Vd155 $$unsorted)) (not (= v1 (vplus (vsucc vd165) Vd155))) ) 20.61/20.86 ( (vsucc vd165) ) 20.61/20.86 ) 20.61/20.86 % SZS output end Proof for theBenchmark 20.61/20.87 EOF