TSTP Solution File: NUM846+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM846+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 : Sun Sep 18 13:12:14 EDT 2022
% Result : Theorem 0.18s 0.39s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM846+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 15:31:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.33 Usage: tptp [options] [-file:]file
% 0.13/0.33 -h, -? prints this message.
% 0.13/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.33 -m, -model generate model.
% 0.13/0.33 -p, -proof generate proof.
% 0.13/0.33 -c, -core generate unsat core of named formulas.
% 0.13/0.33 -st, -statistics display statistics.
% 0.13/0.33 -t:timeout set timeout (in second).
% 0.13/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.33 -<param>:<value> configuration parameter and value.
% 0.13/0.33 -o:<output-file> file to place output in.
% 0.18/0.39 % SZS status Theorem
% 0.18/0.39 % SZS output start Proof
% 0.18/0.39 tff(vplus_type, type, (
% 0.18/0.39 vplus: ( $i * $i ) > $i)).
% 0.18/0.39 tff(vd436_type, type, (
% 0.18/0.39 vd436: $i)).
% 0.18/0.39 tff(vmul_type, type, (
% 0.18/0.39 vmul: ( $i * $i ) > $i)).
% 0.18/0.39 tff(vd439_type, type, (
% 0.18/0.39 vd439: $i)).
% 0.18/0.39 tff(vd437_type, type, (
% 0.18/0.39 vd437: $i)).
% 0.18/0.39 tff(1,plain,
% 0.18/0.39 ((~$true) <=> $false),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(2,plain,
% 0.18/0.39 ((vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)) <=> $true),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(3,plain,
% 0.18/0.39 (vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(4,plain,
% 0.18/0.39 ((vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)) <=> (vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[3])).
% 0.18/0.39 tff(5,plain,
% 0.18/0.39 ((vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)) <=> $true),
% 0.18/0.39 inference(transitivity,[status(thm)],[4, 2])).
% 0.18/0.39 tff(6,plain,
% 0.18/0.39 ((~(vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436))) <=> (~$true)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[5])).
% 0.18/0.39 tff(7,plain,
% 0.18/0.39 ((~(vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436))) <=> $false),
% 0.18/0.39 inference(transitivity,[status(thm)],[6, 1])).
% 0.18/0.39 tff(8,plain,
% 0.18/0.39 ((~(vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436))) <=> (~(vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(9,axiom,(~(vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''holds(286, 441, 2)'')).
% 0.18/0.39 tff(10,plain,
% 0.18/0.39 (~(vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.18/0.39 tff(11,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[10, 7])).
% 0.18/0.39 % SZS output end Proof
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