0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.13 % Command : do_CVC4 %s 0.12/0.34 % Computer : n020.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 180 0.12/0.34 % DateTime : Thu Aug 29 11:36:25 EDT 2019 0.12/0.34 % CPUTime : 0.19/0.47 %----Proving TF0_ARI 0.19/0.48 ------- cvc4-tfa casc 27 : /export/starexec/sandbox/benchmark/theBenchmark.p at 180... 0.19/0.48 --- Run --finite-model-find --decision=internal at 15... 15.37/15.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 15... 30.44/30.64 --- Run --no-e-matching --full-saturate-quant at 15... 30.48/30.86 % SZS status Theorem for theBenchmark 30.48/30.87 % SZS output start Proof for theBenchmark 30.48/30.87 (skolem (forall ((N Int) (X Int) (Y Int)) (or (not (>= N 0)) (not (>= (+ N (* (- 1) X)) 1)) (not (>= X 0)) (not (>= (+ N (* (- 1) Y)) 1)) (not (>= Y 0)) (not (>= (+ Y (* (- 1) (* N N)) (* N X)) 0))) ) 30.48/30.87 ( skv_3 skv_4 skv_5 ) 30.48/30.87 ) 30.48/30.87 (skolem (forall ((X Int) (R Int)) (= (repr1 (state1 e_uf1_11) X R) (repr1 e_uf_pure1_8 X R)) ) 30.48/30.87 ( skv_12 skv_13 ) 30.48/30.87 ) 30.48/30.87 (skolem (forall ((R Int)) (= (repr1 e_uf_pure1_8 skv_4 R) (repr1 e_uf_pure1_8 skv_3 R)) ) 30.48/30.87 ( skv_14 ) 30.48/30.87 ) 30.48/30.87 (skolem (forall ((R Int)) (let ((_let_0 (state1 e_uf1_11))) (= (repr1 _let_0 skv_4 R) (repr1 _let_0 skv_3 R))) ) 30.48/30.87 ( skv_15 ) 30.48/30.87 ) 30.48/30.87 (skolem (forall ((R Int)) (= (repr1 e_uf_pure1_8 skv_5 R) (repr1 e_uf_pure1_8 skv_3 R)) ) 30.48/30.87 ( skv_16 ) 30.48/30.87 ) 30.48/30.87 (skolem (forall ((R Int)) (= (repr1 e_uf_pure1_8 skv_5 R) (repr1 e_uf_pure1_8 skv_4 R)) ) 30.48/30.87 ( skv_17 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((A ty) (X uni)) (sort1 A (contents A X)) ) 30.48/30.87 ( e_ty_6, e_uni_7 ) 30.48/30.87 ( e_ty_6, (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), e_uni_7 ) 30.48/30.87 ( (ref e_ty_6), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref e_ty_6), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref e_ty_6)), e_uni_7 ) 30.48/30.87 ( (ref (ref e_ty_6)), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref e_ty_6)), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref (ref e_ty_6)), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), e_uni_7 ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((G graph1) (X Int)) (path1 G X X) ) 30.48/30.87 ( e_graph1_9, 0 ) 30.48/30.87 ( e_graph1_9, 1 ) 30.48/30.87 ( e_graph1_9, (- 1) ) 30.48/30.87 ( e_graph1_9, skv_3 ) 30.48/30.87 ( e_graph1_9, skv_4 ) 30.48/30.87 ( e_graph1_9, skv_5 ) 30.48/30.87 ( e_graph1_9, (num1 e_uf_pure1_8) ) 30.48/30.87 ( e_graph1_9, (size1 e_uf_pure1_8) ) 30.48/30.87 ( e_graph1_9, (num1 (state1 e_uf1_11)) ) 30.48/30.87 ( e_graph1_9, (size1 (state1 e_uf1_11)) ) 30.48/30.87 ( e_graph1_9, skv_12 ) 30.48/30.87 ( e_graph1_9, skv_13 ) 30.48/30.87 ( e_graph1_9, skv_14 ) 30.48/30.87 ( e_graph1_9, skv_15 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((U tuple02)) (= tuple03 U) ) 30.48/30.87 ( e_tuple02_10 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((U1 uf_pure1) (U2 uf_pure1)) (= (forall ((X Int) (R Int)) (= (repr1 U2 X R) (repr1 U1 X R)) ) (same_reprs1 U1 U2)) ) 30.48/30.87 ( e_uf_pure1_8, e_uf_pure1_8 ) 30.48/30.87 ( e_uf_pure1_8, (state1 e_uf1_11) ) 30.48/30.87 ( (state1 e_uf1_11), e_uf_pure1_8 ) 30.48/30.87 ( (state1 e_uf1_11), (state1 e_uf1_11) ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((A ty) (X bool1) (X1 uni) (X2 uni)) (sort1 A (match_bool1 A X X1 X2)) ) 30.48/30.87 ( e_ty_6, true1, e_uni_7, e_uni_7 ) 30.48/30.87 ( e_ty_6, true1, e_uni_7, (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, true1, e_uni_7, (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( e_ty_6, true1, (mk_ref e_ty_6 e_uni_7), e_uni_7 ) 30.48/30.87 ( e_ty_6, true1, (mk_ref e_ty_6 e_uni_7), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, true1, (mk_ref e_ty_6 e_uni_7), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( e_ty_6, false1, e_uni_7, e_uni_7 ) 30.48/30.87 ( e_ty_6, false1, e_uni_7, (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, false1, (mk_ref e_ty_6 e_uni_7), e_uni_7 ) 30.48/30.87 ( e_ty_6, false1, (mk_ref e_ty_6 e_uni_7), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), true1, e_uni_7, e_uni_7 ) 30.48/30.87 ( (ref e_ty_6), true1, e_uni_7, (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), false1, e_uni_7, e_uni_7 ) 30.48/30.87 ( (ref e_ty_6), false1, (mk_ref e_ty_6 e_uni_7), e_uni_7 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((A ty)) (sort1 A (witness1 A)) ) 30.48/30.87 ( e_ty_6 ) 30.48/30.87 ( (ref e_ty_6) ) 30.48/30.87 ( (ref (ref e_ty_6)) ) 30.48/30.87 ( (ref (ref (ref e_ty_6))) ) 30.48/30.87 ( (ref (ref (ref (ref e_ty_6)))) ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((A ty) (X uni)) (sort1 (ref A) (mk_ref A X)) ) 30.48/30.87 ( e_ty_6, e_uni_7 ) 30.48/30.87 ( e_ty_6, (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), e_uni_7 ) 30.48/30.87 ( (ref e_ty_6), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref e_ty_6), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref e_ty_6)), e_uni_7 ) 30.48/30.87 ( (ref (ref e_ty_6)), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref e_ty_6)), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref (ref e_ty_6)), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), e_uni_7 ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((U uf_pure1) (X Int) (Y Int)) (= (same1 U X Y) (forall ((R Int)) (= (repr1 U Y R) (repr1 U X R)) )) ) 30.48/30.87 ( e_uf_pure1_8, 0, 0 ) 30.48/30.87 ( e_uf_pure1_8, skv_3, skv_3 ) 30.48/30.87 ( e_uf_pure1_8, skv_3, skv_4 ) 30.48/30.87 ( e_uf_pure1_8, skv_3, skv_5 ) 30.48/30.87 ( e_uf_pure1_8, skv_4, skv_3 ) 30.48/30.87 ( e_uf_pure1_8, skv_4, skv_4 ) 30.48/30.87 ( e_uf_pure1_8, skv_4, skv_5 ) 30.48/30.87 ( e_uf_pure1_8, skv_5, skv_3 ) 30.48/30.87 ( e_uf_pure1_8, skv_5, skv_4 ) 30.48/30.87 ( (state1 e_uf1_11), 0, 0 ) 30.48/30.87 ( (state1 e_uf1_11), skv_3, skv_3 ) 30.48/30.87 ( (state1 e_uf1_11), skv_3, skv_4 ) 30.48/30.87 ( (state1 e_uf1_11), skv_4, skv_3 ) 30.48/30.87 ( (state1 e_uf1_11), skv_4, skv_4 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((A ty) (Z uni) (Z1 uni)) (or (not (sort1 A Z1)) (= Z1 (match_bool1 A false1 Z Z1))) ) 30.48/30.87 ( e_ty_6, e_uni_7, e_uni_7 ) 30.48/30.87 ( e_ty_6, e_uni_7, (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, e_uni_7, (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( e_ty_6, e_uni_7, (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, (mk_ref e_ty_6 e_uni_7), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( e_ty_6, (mk_ref e_ty_6 e_uni_7), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 e_uni_7), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 e_uni_7), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), e_uni_7, (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), (mk_ref e_ty_6 e_uni_7), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), (contents e_ty_6 e_uni_7), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((X Int) (Y Int) (Z Int)) (or (>= (+ X (* (- 1) Y)) 1) (not (>= Z 0)) (not (>= (+ (* X Z) (* (- 1) (* Y Z))) 1))) ) 30.48/30.87 ( 0, 0, 0 ) 30.48/30.87 ( 1, 1, 0 ) 30.48/30.87 ( 1, 4, 6 ) 30.48/30.87 ( (- 1), 0, 0 ) 30.48/30.87 ( (- 1), 0, 1 ) 30.48/30.87 ( (- 1), (- 1), 0 ) 30.48/30.87 ( (- 1), (- 1), 1 ) 30.48/30.87 ( (- 1), 4, 2 ) 30.48/30.87 ( 2, 4, 4 ) 30.48/30.87 ( (- 2), (- 2), 1 ) 30.48/30.87 ( (- 2), (- 2), 2 ) 30.48/30.87 ( (- 5), (- 4), 5 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((U uf_pure1) (BOUND_VARIABLE_655 Int) (BOUND_VARIABLE_656 Int)) (let ((_let_0 (* (- 1) (size1 U)))) (or (not (= (num1 U) 1)) (not (>= BOUND_VARIABLE_655 0)) (>= (+ BOUND_VARIABLE_655 _let_0) 0) (>= (+ BOUND_VARIABLE_656 _let_0) 0) (not (>= BOUND_VARIABLE_656 0)) (same1 U BOUND_VARIABLE_655 BOUND_VARIABLE_656))) ) 30.48/30.87 ( e_uf_pure1_8, 0, 0 ) 30.48/30.87 ( (state1 e_uf1_11), skv_3, skv_3 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((U uf_pure1)) (= U (state1 (mk_uf1 U))) ) 30.48/30.87 ( e_uf_pure1_8 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((A ty) (U uni)) (or (not (sort1 A U)) (= U (contents A (mk_ref A U)))) ) 30.48/30.87 ( e_ty_6, e_uni_7 ) 30.48/30.87 ( e_ty_6, (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, (mk_ref e_ty_6 (contents e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref e_ty_6), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref e_ty_6), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), (mk_ref e_ty_6 (contents e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref (ref e_ty_6)), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref (ref e_ty_6)), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref e_ty_6)), (mk_ref e_ty_6 (contents e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), (mk_ref e_ty_6 (contents e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref (ref (ref (ref e_ty_6)))), (mk_ref e_ty_6 (contents e_ty_6 e_uni_7)) ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((A ty) (U uni)) (or (not (sort1 (ref A) U)) (= U (mk_ref A (contents A U)))) ) 30.48/30.87 ( e_ty_6, e_uni_7 ) 30.48/30.87 ( e_ty_6, (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), e_uni_7 ) 30.48/30.87 ( (ref e_ty_6), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref (ref e_ty_6)), e_uni_7 ) 30.48/30.87 ( (ref (ref e_ty_6)), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref e_ty_6)), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref (ref e_ty_6)), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), e_uni_7 ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref (ref (ref e_ty_6))), (mk_ref e_ty_6 (contents e_ty_6 e_uni_7)) ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((U uf_pure1) (X Int)) (or (not (>= X 0)) (>= (+ X (* (- 1) (size1 U))) 0) (not (forall ((Y Int)) (or (not (>= Y 0)) (>= (+ Y (* (- 1) (size1 U))) 0) (not (repr1 U X Y))) ))) ) 30.48/30.87 ( e_uf_pure1_8, 0 ) 30.48/30.87 ( e_uf_pure1_8, 1 ) 30.48/30.87 ( e_uf_pure1_8, skv_3 ) 30.48/30.87 ( e_uf_pure1_8, skv_4 ) 30.48/30.87 ( e_uf_pure1_8, skv_5 ) 30.48/30.87 ( e_uf_pure1_8, (num1 e_uf_pure1_8) ) 30.48/30.87 ( e_uf_pure1_8, (size1 e_uf_pure1_8) ) 30.48/30.87 ( e_uf_pure1_8, (num1 (state1 e_uf1_11)) ) 30.48/30.87 ( (state1 e_uf1_11), 0 ) 30.48/30.87 ( (state1 e_uf1_11), skv_3 ) 30.48/30.87 ( (state1 e_uf1_11), skv_4 ) 30.48/30.87 ( (state1 e_uf1_11), skv_5 ) 30.48/30.87 ( (state1 e_uf1_11), (num1 e_uf_pure1_8) ) 30.48/30.87 ( (state1 e_uf1_11), (size1 e_uf_pure1_8) ) 30.48/30.87 ( (state1 e_uf1_11), (num1 (state1 e_uf1_11)) ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((U uf1)) (= U (mk_uf1 (state1 U))) ) 30.48/30.87 ( e_uf1_11 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((Z graph1) (Z1 Int) (Z2 Int)) (or (not (path1 Z Z1 Z2)) (= Z1 Z2) (not (forall ((Y Int)) (or (not (path1 Z Z1 Y)) (not (path1 Z Y Z2))) )) (path1 Z Z2 Z1)) ) 30.48/30.87 ( e_graph1_9, 0, skv_3 ) 30.48/30.87 ( e_graph1_9, 0, skv_4 ) 30.48/30.87 ( e_graph1_9, 0, skv_5 ) 30.48/30.87 ( e_graph1_9, skv_3, 0 ) 30.48/30.87 ( e_graph1_9, skv_3, 1 ) 30.48/30.87 ( e_graph1_9, skv_3, skv_4 ) 30.48/30.87 ( e_graph1_9, skv_3, skv_5 ) 30.48/30.87 ( e_graph1_9, skv_4, 0 ) 30.48/30.87 ( e_graph1_9, skv_4, 1 ) 30.48/30.87 ( e_graph1_9, skv_4, skv_3 ) 30.48/30.87 ( e_graph1_9, skv_4, skv_5 ) 30.48/30.87 ( e_graph1_9, skv_5, 0 ) 30.48/30.87 ( e_graph1_9, skv_5, skv_3 ) 30.48/30.87 ( e_graph1_9, skv_5, skv_4 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((A ty) (Z uni) (Z1 uni)) (or (not (sort1 A Z)) (= Z (match_bool1 A true1 Z Z1))) ) 30.48/30.87 ( e_ty_6, e_uni_7, e_uni_7 ) 30.48/30.87 ( e_ty_6, (mk_ref e_ty_6 e_uni_7), e_uni_7 ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)), e_uni_7 ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 e_uni_7), e_uni_7 ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 e_uni_7), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 e_uni_7), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( e_ty_6, (contents e_ty_6 e_uni_7), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), (mk_ref e_ty_6 e_uni_7), e_uni_7 ) 30.48/30.87 ( (ref e_ty_6), (mk_ref e_ty_6 e_uni_7), (mk_ref e_ty_6 e_uni_7) ) 30.48/30.87 ( (ref e_ty_6), (mk_ref e_ty_6 e_uni_7), (contents e_ty_6 (mk_ref e_ty_6 e_uni_7)) ) 30.48/30.87 ( (ref e_ty_6), (mk_ref e_ty_6 e_uni_7), (contents e_ty_6 e_uni_7) ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((G graph1) (X Int) (Y Int)) (or (not (path1 G X Y)) (path1 G Y X)) ) 30.48/30.87 ( e_graph1_9, 0, 0 ) 30.48/30.87 ( e_graph1_9, 0, skv_3 ) 30.48/30.87 ( e_graph1_9, 0, skv_4 ) 30.48/30.87 ( e_graph1_9, 0, skv_5 ) 30.48/30.87 ( e_graph1_9, skv_3, 0 ) 30.48/30.87 ( e_graph1_9, skv_3, 1 ) 30.48/30.87 ( e_graph1_9, skv_3, skv_3 ) 30.48/30.87 ( e_graph1_9, skv_4, 0 ) 30.48/30.87 ( e_graph1_9, skv_4, 1 ) 30.48/30.87 ( e_graph1_9, skv_4, skv_4 ) 30.48/30.87 ( e_graph1_9, skv_4, skv_5 ) 30.48/30.87 ( e_graph1_9, skv_5, 0 ) 30.48/30.87 ( e_graph1_9, skv_5, skv_3 ) 30.48/30.87 ( e_graph1_9, skv_5, skv_4 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((U uf_pure1) (X Int) (Y Int) (Z Int)) (or (>= (+ X (* (- 1) (size1 U))) 0) (not (>= X 0)) (not (repr1 U X Y)) (not (repr1 U X Z)) (= Y Z)) ) 30.48/30.87 ( e_uf_pure1_8, 0, skv_3, skv_4 ) 30.48/30.87 ( e_uf_pure1_8, 0, skv_3, skv_13 ) 30.48/30.87 ( e_uf_pure1_8, 0, skv_4, skv_3 ) 30.48/30.87 ( e_uf_pure1_8, 0, skv_4, skv_13 ) 30.48/30.87 ( e_uf_pure1_8, 0, skv_13, skv_3 ) 30.48/30.87 ( e_uf_pure1_8, skv_3, skv_3, skv_4 ) 30.48/30.87 ( e_uf_pure1_8, skv_3, skv_4, skv_3 ) 30.48/30.87 ( e_uf_pure1_8, skv_5, skv_3, skv_4 ) 30.48/30.87 ( e_uf_pure1_8, skv_5, skv_4, skv_3 ) 30.48/30.87 ( (state1 e_uf1_11), 0, skv_3, skv_4 ) 30.48/30.87 ( (state1 e_uf1_11), 0, skv_4, skv_3 ) 30.48/30.87 ( (state1 e_uf1_11), skv_3, skv_3, skv_4 ) 30.48/30.87 ( (state1 e_uf1_11), skv_3, skv_4, skv_3 ) 30.48/30.87 ( (state1 e_uf1_11), skv_5, skv_3, skv_4 ) 30.48/30.87 ) 30.48/30.87 (instantiation (forall ((G graph1) (X Int) (Y Int) (Z Int)) (or (not (path1 G X Y)) (not (path1 G Y Z)) (path1 G X Z)) ) 30.48/30.87 ( e_graph1_9, 0, 0, 0 ) 30.48/30.87 ( e_graph1_9, 0, skv_3, skv_3 ) 30.48/30.87 ( e_graph1_9, 0, skv_4, skv_4 ) 30.48/30.87 ( e_graph1_9, 0, skv_5, skv_5 ) 30.48/30.87 ( e_graph1_9, skv_3, skv_3, 0 ) 30.48/30.87 ( e_graph1_9, skv_3, skv_3, 1 ) 30.48/30.87 ( e_graph1_9, skv_3, skv_3, skv_3 ) 30.48/30.87 ( e_graph1_9, skv_4, skv_4, 0 ) 30.48/30.87 ( e_graph1_9, skv_4, skv_4, 1 ) 30.48/30.87 ( e_graph1_9, skv_4, skv_4, skv_4 ) 30.48/30.87 ( e_graph1_9, skv_4, skv_4, skv_5 ) 30.48/30.87 ( e_graph1_9, skv_5, skv_3, skv_3 ) 30.48/30.87 ( e_graph1_9, skv_5, skv_4, skv_4 ) 30.48/30.87 ( e_graph1_9, skv_5, skv_5, 0 ) 30.48/30.87 ) 30.48/30.87 % SZS output end Proof for theBenchmark 30.48/30.87 EOF