TSTP Solution File: KLE151-10 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE151-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n006.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 : Thu Aug 31 05:37:04 EDT 2023
% Result : Unsatisfiable 5.76s 1.28s
% Output : Refutation 5.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 39 ( 39 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-4 aty)
% Number of variables : 33 (; 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59234,plain,
$false,
inference(subsumption_resolution,[],[f59233,f31]) ).
fof(f31,plain,
true != sF6,
inference(definition_folding,[],[f23,f30,f29,f28,f27,f26,f25,f24]) ).
fof(f24,plain,
multiplication(sK1_goals_X1,sK2_goals_X0) = sF0,
introduced(function_definition,[]) ).
fof(f25,plain,
strong_iteration(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f26,plain,
multiplication(sK2_goals_X0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f27,plain,
multiplication(sK2_goals_X0,sK1_goals_X1) = sF3,
introduced(function_definition,[]) ).
fof(f28,plain,
strong_iteration(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f29,plain,
multiplication(sF4,sK2_goals_X0) = sF5,
introduced(function_definition,[]) ).
fof(f30,plain,
leq(sF2,sF5) = sF6,
introduced(function_definition,[]) ).
fof(f23,axiom,
true != leq(multiplication(sK2_goals_X0,strong_iteration(multiplication(sK1_goals_X1,sK2_goals_X0))),multiplication(strong_iteration(multiplication(sK2_goals_X0,sK1_goals_X1)),sK2_goals_X0)),
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',goals) ).
fof(f59233,plain,
true = sF6,
inference(forward_demodulation,[],[f59232,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',ifeq_axiom_002) ).
fof(f59232,plain,
true = ifeq(true,true,sF6,true),
inference(forward_demodulation,[],[f59231,f252]) ).
fof(f252,plain,
! [X0] : true = leq(X0,X0),
inference(forward_demodulation,[],[f229,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',ifeq_axiom) ).
fof(f229,plain,
! [X0] : true = ifeq3(X0,X0,leq(X0,X0),true),
inference(superposition,[],[f22,f7]) ).
fof(f7,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',idempotence) ).
fof(f22,axiom,
! [X0,X1] : true = ifeq3(addition(X0,X1),X1,leq(X0,X1),true),
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',order) ).
fof(f59231,plain,
true = ifeq(leq(sF2,sF2),true,sF6,true),
inference(forward_demodulation,[],[f59230,f30]) ).
fof(f59230,plain,
true = ifeq(leq(sF2,sF2),true,leq(sF2,sF5),true),
inference(forward_demodulation,[],[f59229,f29]) ).
fof(f59229,plain,
true = ifeq(leq(sF2,sF2),true,leq(sF2,multiplication(sF4,sK2_goals_X0)),true),
inference(forward_demodulation,[],[f59178,f28]) ).
fof(f59178,plain,
true = ifeq(leq(sF2,sF2),true,leq(sF2,multiplication(strong_iteration(sF3),sK2_goals_X0)),true),
inference(superposition,[],[f756,f59110]) ).
fof(f59110,plain,
sF2 = addition(sK2_goals_X0,multiplication(sF3,sF2)),
inference(forward_demodulation,[],[f59029,f26]) ).
fof(f59029,plain,
multiplication(sK2_goals_X0,sF1) = addition(sK2_goals_X0,multiplication(sF3,sF2)),
inference(superposition,[],[f2518,f209]) ).
fof(f209,plain,
sF1 = addition(one,multiplication(sK1_goals_X1,sF2)),
inference(backward_demodulation,[],[f49,f176]) ).
fof(f176,plain,
multiplication(sF0,sF1) = multiplication(sK1_goals_X1,sF2),
inference(superposition,[],[f135,f26]) ).
fof(f135,plain,
! [X12] : multiplication(sK1_goals_X1,multiplication(sK2_goals_X0,X12)) = multiplication(sF0,X12),
inference(superposition,[],[f8,f24]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',multiplicative_associativity) ).
fof(f49,plain,
sF1 = addition(one,multiplication(sF0,sF1)),
inference(superposition,[],[f48,f25]) ).
fof(f48,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
inference(forward_demodulation,[],[f18,f4]) ).
fof(f4,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',additive_commutativity) ).
fof(f18,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',infty_unfold1) ).
fof(f2518,plain,
! [X7] : multiplication(sK2_goals_X0,addition(one,multiplication(sK1_goals_X1,X7))) = addition(sK2_goals_X0,multiplication(sF3,X7)),
inference(superposition,[],[f316,f134]) ).
fof(f134,plain,
! [X11] : multiplication(sK2_goals_X0,multiplication(sK1_goals_X1,X11)) = multiplication(sF3,X11),
inference(superposition,[],[f8,f27]) ).
fof(f316,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f11,f9]) ).
fof(f9,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',multiplicative_right_identity) ).
fof(f11,axiom,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',distributivity1) ).
fof(f756,plain,
! [X10,X8,X9] : true = ifeq(leq(X9,addition(X10,multiplication(X8,X9))),true,leq(X9,multiplication(strong_iteration(X8),X10)),true),
inference(superposition,[],[f19,f4]) ).
fof(f19,axiom,
! [X2,X0,X1] : true = ifeq(leq(X2,addition(multiplication(X0,X2),X1)),true,leq(X2,multiplication(strong_iteration(X0),X1)),true),
file('/export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780',infty_coinduction) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE151-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 10:59:51 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.yttuZGgNOG/Vampire---4.8_1780
% 0.16/0.36 % (1927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (1931)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.42 % (1930)ott+10_11_av=off:bd=off:drc=off:fde=none:nwc=1.2:to=lpo:tgt=ground_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.42 % (1929)ott+10_14_av=off:bd=preordered:drc=off:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.42 % (1933)dis+10_7_av=off:drc=off:nwc=1.5:sims=off:sp=scramble:tgt=ground_485 on Vampire---4 for (485ds/0Mi)
% 0.22/0.42 % (1934)lrs+10_50_av=off:bd=off:drc=off:sp=reverse_arity:tgt=ground:stl=62_361 on Vampire---4 for (361ds/0Mi)
% 0.22/0.42 % (1928)lrs+10_6_av=off:drc=off:fde=unused:nwc=2.5:sims=off:sp=reverse_frequency:stl=188_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.42 % (1932)ott+10_4_av=off:drc=off:fde=none:nwc=1.2:sims=off:to=lpo:tgt=ground_606 on Vampire---4 for (606ds/0Mi)
% 5.76/1.27 % (1933)First to succeed.
% 5.76/1.28 % (1933)Refutation found. Thanks to Tanya!
% 5.76/1.28 % SZS status Unsatisfiable for Vampire---4
% 5.76/1.28 % SZS output start Proof for Vampire---4
% See solution above
% 5.76/1.28 % (1933)------------------------------
% 5.76/1.28 % (1933)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 5.76/1.28 % (1933)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 5.76/1.28 % (1933)Termination reason: Refutation
% 5.76/1.28
% 5.76/1.28 % (1933)Memory used [KB]: 41065
% 5.76/1.28 % (1933)Time elapsed: 0.851 s
% 5.76/1.28 % (1933)------------------------------
% 5.76/1.28 % (1933)------------------------------
% 5.76/1.28 % (1927)Success in time 0.901 s
% 5.76/1.28 % Vampire---4.8 exiting
%------------------------------------------------------------------------------