TSTP Solution File: ARI536_1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI536_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 : Tue Sep 6 17:01:57 EDT 2022
% Result : Theorem 0.21s 0.42s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI536_1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:14:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.21/0.42 % SZS status Theorem
% 0.21/0.42 % SZS output start Proof
% 0.21/0.42 tff(1,plain,
% 0.21/0.42 (((~![X: $real] : (~($product(X, X) = 2))) | $false) <=> (~![X: $real] : (~($product(X, X) = 2)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(2,plain,
% 0.21/0.42 ((~$true) <=> $false),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(3,plain,
% 0.21/0.42 ((2 = 2) <=> $true),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(4,plain,
% 0.21/0.42 ($product((root-obj (+ (^ x 2) (- 2)) 1), (root-obj (+ (^ x 2) (- 2)) 1)) = 2),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(5,plain,
% 0.21/0.42 (($product((root-obj (+ (^ x 2) (- 2)) 1), (root-obj (+ (^ x 2) (- 2)) 1)) = 2) <=> (2 = 2)),
% 0.21/0.42 inference(monotonicity,[status(thm)],[4])).
% 0.21/0.42 tff(6,plain,
% 0.21/0.42 (($product((root-obj (+ (^ x 2) (- 2)) 1), (root-obj (+ (^ x 2) (- 2)) 1)) = 2) <=> $true),
% 0.21/0.42 inference(transitivity,[status(thm)],[5, 3])).
% 0.21/0.42 tff(7,plain,
% 0.21/0.42 ((~($product((root-obj (+ (^ x 2) (- 2)) 1), (root-obj (+ (^ x 2) (- 2)) 1)) = 2)) <=> (~$true)),
% 0.21/0.42 inference(monotonicity,[status(thm)],[6])).
% 0.21/0.42 tff(8,plain,
% 0.21/0.42 ((~($product((root-obj (+ (^ x 2) (- 2)) 1), (root-obj (+ (^ x 2) (- 2)) 1)) = 2)) <=> $false),
% 0.21/0.42 inference(transitivity,[status(thm)],[7, 2])).
% 0.21/0.42 tff(9,plain,
% 0.21/0.42 (((~![X: $real] : (~($product(X, X) = 2))) | (~($product((root-obj (+ (^ x 2) (- 2)) 1), (root-obj (+ (^ x 2) (- 2)) 1)) = 2))) <=> ((~![X: $real] : (~($product(X, X) = 2))) | $false)),
% 0.21/0.42 inference(monotonicity,[status(thm)],[8])).
% 0.21/0.42 tff(10,plain,
% 0.21/0.42 (((~![X: $real] : (~($product(X, X) = 2))) | (~($product((root-obj (+ (^ x 2) (- 2)) 1), (root-obj (+ (^ x 2) (- 2)) 1)) = 2))) <=> (~![X: $real] : (~($product(X, X) = 2)))),
% 0.21/0.42 inference(transitivity,[status(thm)],[9, 1])).
% 0.21/0.42 tff(11,plain,
% 0.21/0.42 ((~![X: $real] : (~($product(X, X) = 2))) | (~($product((root-obj (+ (^ x 2) (- 2)) 1), (root-obj (+ (^ x 2) (- 2)) 1)) = 2))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(12,plain,
% 0.21/0.42 (~![X: $real] : (~($product(X, X) = 2))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.21/0.42 tff(13,plain,
% 0.21/0.42 (^[X: $real] : refl((~($product(X, X) = 2)) <=> (~($product(X, X) = 2)))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(14,plain,
% 0.21/0.42 (![X: $real] : (~($product(X, X) = 2)) <=> ![X: $real] : (~($product(X, X) = 2))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[13])).
% 0.21/0.42 tff(15,plain,
% 0.21/0.42 ((~?[X: $real] : ($product(X, X) = 2)) <=> (~?[X: $real] : ($product(X, X) = 2))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(16,axiom,(~?[X: $real] : ($product(X, X) = 2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the')).
% 0.21/0.42 tff(17,plain,
% 0.21/0.42 (~?[X: $real] : ($product(X, X) = 2)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.21/0.42 tff(18,plain,
% 0.21/0.42 (~?[X: $real] : ($product(X, X) = 2)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[17, 15])).
% 0.21/0.42 tff(19,plain,
% 0.21/0.42 (~?[X: $real] : ($product(X, X) = 2)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[18, 15])).
% 0.21/0.42 tff(20,plain,
% 0.21/0.42 (~?[X: $real] : ($product(X, X) = 2)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.21/0.42 tff(21,plain,
% 0.21/0.42 (~?[X: $real] : ($product(X, X) = 2)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[20, 15])).
% 0.21/0.42 tff(22,plain,
% 0.21/0.42 (^[X: $real] : refl($oeq((~($product(X, X) = 2)), (~($product(X, X) = 2))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(23,plain,(
% 0.21/0.42 ![X: $real] : (~($product(X, X) = 2))),
% 0.21/0.42 inference(nnf-neg,[status(sab)],[21, 22])).
% 0.21/0.42 tff(24,plain,
% 0.21/0.42 (![X: $real] : (~($product(X, X) = 2))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[23, 14])).
% 0.21/0.42 tff(25,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[24, 12])).
% 0.21/0.42 % SZS output end Proof
%------------------------------------------------------------------------------