TSTP Solution File: SWW196+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW196+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 : Mon Jun 24 18:31:32 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 16 unt; 0 def)
% Number of atoms : 26 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 13 ( 10 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6296,plain,
$false,
inference(subsumption_resolution,[],[f5496,f5687]) ).
fof(f5687,plain,
! [X0] : v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X0),
inference(subsumption_resolution,[],[f5131,f3477]) ).
fof(f3477,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1174]) ).
fof(f1174,plain,
~ v_thesis____,
inference(flattening,[],[f1173]) ).
fof(f1173,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[],[f1172]) ).
fof(f1172,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5131,plain,
! [X0] :
( v_thesis____
| v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X0) ),
inference(definition_unfolding,[],[f3478,f3737,f3761]) ).
fof(f3761,plain,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
inference(cnf_transformation,[],[f1235]) ).
fof(f1235,plain,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
inference(rectify,[],[f701]) ).
fof(f701,axiom,
! [X6] : c_Int_OBit1(X6) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X6),X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3737,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(cnf_transformation,[],[f1211]) ).
fof(f1211,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(rectify,[],[f304]) ).
fof(f304,axiom,
! [X6] : c_Int_OBit0(X6) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X6,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3478,plain,
! [X0] :
( v_thesis____
| v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) ),
inference(cnf_transformation,[],[f2122]) ).
fof(f2122,plain,
( v_thesis____
| ! [X0] : v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) ),
inference(ennf_transformation,[],[f1171]) ).
fof(f1171,axiom,
( ? [X0] : v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)
=> v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5496,plain,
v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),sK22),
inference(definition_unfolding,[],[f5130,f3737,f3761]) ).
fof(f5130,plain,
v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK22),
inference(cnf_transformation,[],[f3476]) ).
fof(f3476,plain,
v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK22),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f1,f3475]) ).
fof(f3475,plain,
( ? [X0] : v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)
=> v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK22) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] : v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW196+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.12 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n025.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 : Wed Jun 19 08:57:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 % (28520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (28522)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.47 % (28520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (28526)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.21/0.47 % (28520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (28525)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.47 % (28520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (28523)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.21/0.47 % (28520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (28524)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.21/0.47 % (28520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (28527)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.47 % (28520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (28521)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.21/0.53 % (28525)Instruction limit reached!
% 0.21/0.53 % (28525)------------------------------
% 0.21/0.53 % (28525)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53 % (28525)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53 % (28525)Termination reason: Time limit
% 0.21/0.53 % (28525)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (28525)Memory used [KB]: 3779
% 0.21/0.53 % (28525)Time elapsed: 0.057 s
% 0.21/0.53 % (28525)Instructions burned: 110 (million)
% 0.21/0.54 % (28527)Instruction limit reached!
% 0.21/0.54 % (28527)------------------------------
% 0.21/0.54 % (28527)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.54 % (28527)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.54 % (28527)Termination reason: Time limit
% 0.21/0.54 % (28527)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (28527)Memory used [KB]: 2495
% 0.21/0.54 % (28527)Time elapsed: 0.070 s
% 0.21/0.54 % (28527)Instructions burned: 124 (million)
% 0.21/0.55 % (28526)Instruction limit reached!
% 0.21/0.55 % (28526)------------------------------
% 0.21/0.55 % (28526)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.55 % (28526)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.55 % (28526)Termination reason: Time limit
% 0.21/0.55 % (28526)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (28526)Memory used [KB]: 3442
% 0.21/0.55 % (28526)Time elapsed: 0.079 s
% 0.21/0.55 % (28526)Instructions burned: 132 (million)
% 0.21/0.55 % (28521)First to succeed.
% 0.21/0.55 % (28521)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28520"
% 0.21/0.55 % (28520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.55 % (28521)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (28521)------------------------------
% 0.21/0.55 % (28521)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.55 % (28521)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.55 % (28521)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (28521)Memory used [KB]: 3924
% 0.21/0.55 % (28521)Time elapsed: 0.079 s
% 0.21/0.55 % (28521)Instructions burned: 154 (million)
% 0.21/0.55 % (28521)------------------------------
% 0.21/0.55 % (28521)------------------------------
% 0.21/0.55 % (28520)Success in time 0.142 s
%------------------------------------------------------------------------------