TSTP Solution File: SYN360^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN360^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 May 21 08:22:02 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN360^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34 % Computer : n003.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 : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 15:54:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.12/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % (20540)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.12/0.37 % (20540)First to succeed.
% 0.12/0.37 % (20540)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% 0.12/0.37 thf(func_def_0, type, cQ: $i > $i > $o).
% 0.12/0.37 thf(func_def_1, type, c_less_: $i > $i > $o).
% 0.12/0.37 thf(func_def_7, type, sK2: $i > $i).
% 0.12/0.37 thf(f18,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(trivial_inequality_removal,[],[f17])).
% 0.12/0.37 thf(f17,plain,(
% 0.12/0.37 ($true != $true)),
% 0.12/0.37 inference(superposition,[],[f14,f16])).
% 0.12/0.37 thf(f16,plain,(
% 0.12/0.37 ( ! [X0 : $i,X1 : $i] : (((cQ @ X0 @ X1) = $true)) )),
% 0.12/0.37 inference(trivial_inequality_removal,[],[f15])).
% 0.12/0.37 thf(f15,plain,(
% 0.12/0.37 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((cQ @ X0 @ X1) = $true)) )),
% 0.12/0.37 inference(superposition,[],[f12,f13])).
% 0.12/0.37 thf(f13,plain,(
% 0.12/0.37 ( ! [X2 : $i] : (($true = (c_less_ @ X2 @ (sK2 @ X2)))) )),
% 0.12/0.37 inference(cnf_transformation,[],[f11])).
% 0.12/0.37 thf(f11,plain,(
% 0.12/0.37 ($true != (cQ @ sK1 @ sK0)) & ! [X2] : ($true = (c_less_ @ X2 @ (sK2 @ X2))) & ! [X4] : (! [X5] : ($true != (c_less_ @ X4 @ X5)) | ! [X6] : ((cQ @ X4 @ X6) = $true))),
% 0.12/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f10,f9])).
% 0.12/0.37 thf(f9,plain,(
% 0.12/0.37 ? [X0,X1] : ($true != (cQ @ X1 @ X0)) => ($true != (cQ @ sK1 @ sK0))),
% 0.12/0.37 introduced(choice_axiom,[])).
% 0.12/0.37 thf(f10,plain,(
% 0.12/0.37 ! [X2] : (? [X3] : ($true = (c_less_ @ X2 @ X3)) => ($true = (c_less_ @ X2 @ (sK2 @ X2))))),
% 0.12/0.37 introduced(choice_axiom,[])).
% 0.12/0.37 thf(f8,plain,(
% 0.12/0.37 ? [X0,X1] : ($true != (cQ @ X1 @ X0)) & ! [X2] : ? [X3] : ($true = (c_less_ @ X2 @ X3)) & ! [X4] : (! [X5] : ($true != (c_less_ @ X4 @ X5)) | ! [X6] : ((cQ @ X4 @ X6) = $true))),
% 0.12/0.37 inference(rectify,[],[f7])).
% 0.12/0.37 thf(f7,plain,(
% 0.12/0.37 ? [X6,X5] : ($true != (cQ @ X5 @ X6)) & ! [X3] : ? [X4] : ($true = (c_less_ @ X3 @ X4)) & ! [X0] : (! [X1] : ((c_less_ @ X0 @ X1) != $true) | ! [X2] : ($true = (cQ @ X0 @ X2)))),
% 0.12/0.37 inference(flattening,[],[f6])).
% 0.12/0.37 thf(f6,plain,(
% 0.12/0.37 ? [X6,X5] : ($true != (cQ @ X5 @ X6)) & (! [X3] : ? [X4] : ($true = (c_less_ @ X3 @ X4)) & ! [X0] : (! [X1] : ((c_less_ @ X0 @ X1) != $true) | ! [X2] : ($true = (cQ @ X0 @ X2))))),
% 0.12/0.37 inference(ennf_transformation,[],[f5])).
% 0.12/0.37 thf(f5,plain,(
% 0.12/0.37 ~((! [X3] : ? [X4] : ($true = (c_less_ @ X3 @ X4)) & ! [X0] : (? [X1] : ((c_less_ @ X0 @ X1) = $true) => ! [X2] : ($true = (cQ @ X0 @ X2)))) => ! [X5,X6] : ($true = (cQ @ X5 @ X6)))),
% 0.12/0.37 inference(fool_elimination,[],[f4])).
% 0.12/0.37 thf(f4,plain,(
% 0.12/0.37 ~((! [X0] : (? [X1] : (c_less_ @ X0 @ X1) => ! [X2] : (cQ @ X0 @ X2)) & ! [X3] : ? [X4] : (c_less_ @ X3 @ X4)) => ! [X5,X6] : (cQ @ X5 @ X6))),
% 0.12/0.37 inference(rectify,[],[f2])).
% 0.12/0.37 thf(f2,negated_conjecture,(
% 0.12/0.37 ~((! [X0] : (? [X1] : (c_less_ @ X0 @ X1) => ! [X1] : (cQ @ X0 @ X1)) & ! [X2] : ? [X1] : (c_less_ @ X2 @ X1)) => ! [X0,X1] : (cQ @ X0 @ X1))),
% 0.12/0.37 inference(negated_conjecture,[],[f1])).
% 0.12/0.37 thf(f1,conjecture,(
% 0.12/0.37 (! [X0] : (? [X1] : (c_less_ @ X0 @ X1) => ! [X1] : (cQ @ X0 @ X1)) & ! [X2] : ? [X1] : (c_less_ @ X2 @ X1)) => ! [X0,X1] : (cQ @ X0 @ X1)),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2111A_pme)).
% 0.12/0.37 thf(f12,plain,(
% 0.12/0.37 ( ! [X6 : $i,X4 : $i,X5 : $i] : (($true != (c_less_ @ X4 @ X5)) | ((cQ @ X4 @ X6) = $true)) )),
% 0.12/0.37 inference(cnf_transformation,[],[f11])).
% 0.12/0.37 thf(f14,plain,(
% 0.12/0.37 ($true != (cQ @ sK1 @ sK0))),
% 0.12/0.37 inference(cnf_transformation,[],[f11])).
% 0.12/0.37 % SZS output end Proof for theBenchmark
% 0.12/0.37 % (20540)------------------------------
% 0.12/0.37 % (20540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (20540)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (20540)Memory used [KB]: 5500
% 0.12/0.37 % (20540)Time elapsed: 0.005 s
% 0.12/0.37 % (20540)Instructions burned: 2 (million)
% 0.12/0.37 % (20540)------------------------------
% 0.12/0.37 % (20540)------------------------------
% 0.12/0.37 % (20533)Success in time 0.006 s
% 0.12/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------