TSTP Solution File: DAT324^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT324^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 May 5 05:05:16 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : DAT324^1 : TPTP v8.1.2. Released v7.0.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:45:01 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH1_THM_EQU_NAR problem
% 0.15/0.36 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/sandbox2/tmp/tmp.IcmUawkuZH/Vampire---4.8_13884
% 0.15/0.37 % (14110)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.15/0.38 % (14110)First to succeed.
% 0.15/0.38 % (14110)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for Vampire---4
% 0.15/0.38 % SZS output start Proof for Vampire---4
% 0.15/0.38 thf(type_def_5, type, 'type/ind_types/list': ($tType) > $tType).
% 0.15/0.38 thf(type_def_7, type, 'type/nums/num': $tType).
% 0.15/0.38 thf(type_def_8, type, sK0: $tType).
% 0.15/0.38 thf(func_def_0, type, 'type/nums/num': $tType).
% 0.15/0.38 thf(func_def_1, type, 'type/ind_types/list': ($tType) > $tType).
% 0.15/0.38 thf(func_def_2, type, 'const/sets/set_of_list': !>[X0: $tType]:('type/ind_types/list' @ X0 > X0 > $o)).
% 0.15/0.38 thf(func_def_3, type, 'const/sets/list_of_set': !>[X0: $tType]:((X0 > $o) > 'type/ind_types/list' @ X0)).
% 0.15/0.38 thf(func_def_4, type, 'const/sets/FINITE': !>[X0: $tType]:((X0 > $o) > $o)).
% 0.15/0.38 thf(func_def_5, type, 'const/sets/CARD': !>[X0: $tType]:((X0 > $o) > 'type/nums/num')).
% 0.15/0.38 thf(func_def_6, type, 'const/lists/LENGTH': !>[X0: $tType]:('type/ind_types/list' @ X0 > 'type/nums/num')).
% 0.15/0.38 thf(func_def_8, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.15/0.38 thf(func_def_11, type, sK1: sK0 > $o).
% 0.15/0.38 thf(func_def_13, type, ph3: !>[X0: $tType]:(X0)).
% 0.15/0.38 thf(f25,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f24])).
% 0.15/0.38 thf(f24,plain,(
% 0.15/0.38 (('const/sets/CARD' @ sK0 @ sK1) != ('const/sets/CARD' @ sK0 @ sK1))),
% 0.15/0.38 inference(superposition,[],[f15,f20])).
% 0.15/0.38 thf(f20,plain,(
% 0.15/0.38 (('const/lists/LENGTH' @ sK0 @ ('const/sets/list_of_set' @ sK0 @ sK1)) = ('const/sets/CARD' @ sK0 @ sK1))),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f19])).
% 0.15/0.38 thf(f19,plain,(
% 0.15/0.38 ($true != $true) | (('const/lists/LENGTH' @ sK0 @ ('const/sets/list_of_set' @ sK0 @ sK1)) = ('const/sets/CARD' @ sK0 @ sK1))),
% 0.15/0.38 inference(superposition,[],[f13,f16])).
% 0.15/0.38 thf(f16,plain,(
% 0.15/0.38 (('const/sets/FINITE' @ sK0 @ sK1) = $true)),
% 0.15/0.38 inference(cnf_transformation,[],[f12])).
% 0.15/0.38 thf(f12,plain,(
% 0.15/0.38 (('const/sets/FINITE' @ sK0 @ sK1) = $true) & (('const/lists/LENGTH' @ sK0 @ ('const/sets/list_of_set' @ sK0 @ sK1)) != ('const/sets/CARD' @ sK0 @ sK1))),
% 0.15/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11])).
% 0.15/0.38 thf(f11,plain,(
% 0.15/0.38 ? [X0 : $tType,X1 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) & (('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) != ('const/sets/CARD' @ X0 @ X1))) => ((('const/sets/FINITE' @ sK0 @ sK1) = $true) & (('const/lists/LENGTH' @ sK0 @ ('const/sets/list_of_set' @ sK0 @ sK1)) != ('const/sets/CARD' @ sK0 @ sK1)))),
% 0.15/0.38 introduced(choice_axiom,[])).
% 0.15/0.38 thf(f9,plain,(
% 0.15/0.38 ? [X0 : $tType,X1 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) & (('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) != ('const/sets/CARD' @ X0 @ X1)))),
% 0.15/0.38 inference(ennf_transformation,[],[f6])).
% 0.15/0.38 thf(f6,plain,(
% 0.15/0.38 ~! [X0 : $tType,X1 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) => (('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = ('const/sets/CARD' @ X0 @ X1)))),
% 0.15/0.38 inference(fool_elimination,[],[f5])).
% 0.15/0.38 thf(f5,plain,(
% 0.15/0.38 ~! [X0 : $tType,X1 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => (('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = ('const/sets/CARD' @ X0 @ X1)))),
% 0.15/0.38 inference(rectify,[],[f3])).
% 0.15/0.38 thf(f3,negated_conjecture,(
% 0.15/0.38 ~! [X0 : $tType,X1 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => (('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = ('const/sets/CARD' @ X0 @ X1)))),
% 0.15/0.38 inference(negated_conjecture,[],[f2])).
% 0.15/0.38 thf(f2,conjecture,(
% 0.15/0.38 ! [X0 : $tType,X1 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => (('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = ('const/sets/CARD' @ X0 @ X1)))),
% 0.15/0.38 file('/export/starexec/sandbox2/tmp/tmp.IcmUawkuZH/Vampire---4.8_13884','thm/sets/LENGTH_LIST_OF_SET_')).
% 0.15/0.38 thf(f13,plain,(
% 0.15/0.38 ( ! [X0 : $tType,X1 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) != $true) | (('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = ('const/sets/CARD' @ X0 @ X1))) )),
% 0.15/0.38 inference(cnf_transformation,[],[f10])).
% 0.15/0.38 thf(f10,plain,(
% 0.15/0.38 ! [X0 : $tType,X1 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) != $true) | ((('const/sets/set_of_list' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = X1) & (('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = ('const/sets/CARD' @ X0 @ X1))))),
% 0.15/0.38 inference(ennf_transformation,[],[f8])).
% 0.15/0.38 thf(f8,plain,(
% 0.15/0.38 ! [X0 : $tType,X1 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) => ((('const/sets/set_of_list' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = X1) & (('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = ('const/sets/CARD' @ X0 @ X1))))),
% 0.15/0.38 inference(fool_elimination,[],[f7])).
% 0.15/0.38 thf(f7,plain,(
% 0.15/0.38 ! [X0 : $tType,X1 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ((('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = ('const/sets/CARD' @ X0 @ X1)) & (('const/sets/set_of_list' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = X1)))),
% 0.15/0.38 inference(rectify,[],[f1])).
% 0.15/0.38 thf(f1,axiom,(
% 0.15/0.38 ! [X0 : $tType,X1 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ((('const/lists/LENGTH' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = ('const/sets/CARD' @ X0 @ X1)) & (('const/sets/set_of_list' @ X0 @ ('const/sets/list_of_set' @ X0 @ X1)) = X1)))),
% 0.15/0.38 file('/export/starexec/sandbox2/tmp/tmp.IcmUawkuZH/Vampire---4.8_13884','thm/sets/LIST_OF_SET_PROPERTIES_')).
% 0.15/0.38 thf(f15,plain,(
% 0.15/0.38 (('const/lists/LENGTH' @ sK0 @ ('const/sets/list_of_set' @ sK0 @ sK1)) != ('const/sets/CARD' @ sK0 @ sK1))),
% 0.15/0.38 inference(cnf_transformation,[],[f12])).
% 0.15/0.38 % SZS output end Proof for Vampire---4
% 0.15/0.38 % (14110)------------------------------
% 0.15/0.38 % (14110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14110)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (14110)Memory used [KB]: 5500
% 0.15/0.38 % (14110)Time elapsed: 0.004 s
% 0.15/0.38 % (14110)Instructions burned: 2 (million)
% 0.15/0.38 % (14110)------------------------------
% 0.15/0.38 % (14110)------------------------------
% 0.15/0.38 % (14101)Success in time 0.014 s
% 0.15/0.38 % Vampire---4.8 exiting
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