%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG210+2 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:19 AM UTC 2026
% Result : Theorem 2.71s 1.20s
% Output : Refutation 5.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 109 ( 82 unt; 0 def)
% Number of atoms : 160 ( 116 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 87 ( 36 ~; 28 |; 20 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 115 ( 106 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : times(times(X0,X1),X2) = times(X1,times(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
! [X0] :
( element(X0)
<=> ? [X1] :
( times(X0,X1) = X0
& times(X0,X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,conjecture,
! [X0,X1,X2] :
( ( element(X0)
& element(X1)
& X2 = times(X0,X1) )
=> element(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
fof(f4,negated_conjecture,
~ ! [X0,X1,X2] :
( ( element(X0)
& element(X1)
& X2 = times(X0,X1) )
=> element(X2) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
? [X0,X1,X2] :
( ~ element(X2)
& element(X0)
& element(X1)
& X2 = times(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
? [X0,X1,X2] :
( ~ element(X2)
& element(X0)
& element(X1)
& X2 = times(X0,X1) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
( ~ element(sK2)
& element(sK0)
& element(sK1)
& sK2 = times(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f6]) ).
fof(f8,plain,
! [X0] :
( ( element(X0)
| ! [X1] :
( times(X0,X1) != X0
| times(X0,X0) != X1 ) )
& ( ? [X1] :
( times(X0,X1) = X0
& times(X0,X0) = X1 )
| ~ element(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0] :
( ( element(X0)
| ! [X1] :
( times(X0,X1) != X0
| times(X0,X0) != X1 ) )
& ( ? [X2] :
( times(X0,X2) = X0
& times(X0,X0) = X2 )
| ~ element(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f10,plain,
! [X0] :
( ( element(X0)
| ! [X1] :
( times(X0,X1) != X0
| times(X0,X0) != X1 ) )
& ( ( times(X0,sK3(X0)) = X0
& times(X0,X0) = sK3(X0) )
| ~ element(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f9]) ).
fof(f11,plain,
sK2 = times(sK0,sK1),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
element(sK1),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
element(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
~ element(sK2),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
! [X0] :
( ~ element(X0)
| times(X0,X0) = sK3(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f16,plain,
! [X0] :
( ~ element(X0)
| times(X0,sK3(X0)) = X0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0,X1] :
( element(X0)
| times(X0,X1) != X0
| times(X0,X0) != X1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
! [X2,X0,X1] : times(times(X0,X1),X2) = times(X1,times(X2,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X0] :
( times(X0,times(X0,X0)) != X0
| element(X0) ),
inference(equality_resolution,[],[f17]) ).
fof(f20,plain,
times(sK1,sK1) = sK3(sK1),
inference(resolution,[],[f15,f12]) ).
fof(f21,plain,
times(sK0,sK0) = sK3(sK0),
inference(resolution,[],[f15,f13]) ).
fof(f22,plain,
sK1 = times(sK1,sK3(sK1)),
inference(resolution,[],[f16,f12]) ).
fof(f23,plain,
sK0 = times(sK0,sK3(sK0)),
inference(resolution,[],[f16,f13]) ).
fof(f26,plain,
! [X0] : times(sK1,times(X0,sK0)) = times(sK2,X0),
inference(superposition,[],[f18,f11]) ).
fof(f27,plain,
! [X0] : times(sK1,times(X0,sK1)) = times(sK3(sK1),X0),
inference(superposition,[],[f18,f20]) ).
fof(f28,plain,
! [X0] : times(sK0,times(X0,sK0)) = times(sK3(sK0),X0),
inference(superposition,[],[f18,f21]) ).
fof(f29,plain,
! [X2,X3,X0,X1] : times(X1,times(X3,times(X2,X0))) = times(times(X0,times(X1,X2)),X3),
inference(superposition,[],[f18,f18]) ).
fof(f30,plain,
! [X0,X1] :
( times(X1,X0) != times(times(X1,X0),times(X0,times(times(X1,X0),X1)))
| element(times(X1,X0)) ),
inference(superposition,[],[f19,f18]) ).
fof(f33,plain,
! [X0,X1] :
( times(X1,X0) != times(X0,times(times(X0,times(times(X1,X0),X1)),X1))
| element(times(X1,X0)) ),
inference(forward_demodulation,[],[f30,f18]) ).
fof(f34,plain,
! [X2,X3,X0,X1] : times(X1,times(X3,times(X2,X0))) = times(times(X1,X2),times(X3,X0)),
inference(forward_demodulation,[],[f29,f18]) ).
fof(f36,plain,
! [X0,X1] :
( times(X1,X0) != times(X0,times(times(times(X1,X0),X1),times(X1,X0)))
| element(times(X1,X0)) ),
inference(forward_demodulation,[],[f33,f18]) ).
fof(f37,plain,
! [X2,X3,X0,X1] : times(X1,times(X3,times(X2,X0))) = times(X2,times(times(X3,X0),X1)),
inference(forward_demodulation,[],[f34,f18]) ).
fof(f39,plain,
! [X0,X1] :
( times(X1,X0) != times(X0,times(X1,times(times(X1,X0),times(X1,X0))))
| element(times(X1,X0)) ),
inference(forward_demodulation,[],[f36,f18]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : times(X1,times(X3,times(X2,X0))) = times(X2,times(X0,times(X1,X3))),
inference(forward_demodulation,[],[f37,f18]) ).
fof(f42,plain,
! [X0,X1] :
( times(X1,X0) != times(X0,times(X1,times(X0,times(times(X1,X0),X1))))
| element(times(X1,X0)) ),
inference(forward_demodulation,[],[f39,f18]) ).
fof(f44,plain,
! [X0,X1] :
( times(X1,X0) != times(X0,times(X1,times(X0,times(X0,times(X1,X1)))))
| element(times(X1,X0)) ),
inference(forward_demodulation,[],[f42,f18]) ).
fof(f45,plain,
! [X0] : times(sK3(sK1),times(X0,sK1)) = times(sK1,X0),
inference(superposition,[],[f18,f22]) ).
fof(f46,plain,
! [X0] : times(sK3(sK0),times(X0,sK0)) = times(sK0,X0),
inference(superposition,[],[f18,f23]) ).
fof(f47,plain,
times(sK2,sK0) = times(sK1,sK3(sK0)),
inference(superposition,[],[f26,f21]) ).
fof(f48,plain,
! [X0,X1] : times(sK2,times(X1,X0)) = times(sK1,times(X0,times(sK0,X1))),
inference(superposition,[],[f26,f18]) ).
fof(f49,plain,
! [X0,X1] : times(times(X0,sK0),times(X1,sK1)) = times(times(sK2,X0),X1),
inference(superposition,[],[f18,f26]) ).
fof(f50,plain,
! [X0,X1] : times(times(X0,sK0),times(X1,sK1)) = times(X0,times(X1,sK2)),
inference(forward_demodulation,[],[f49,f18]) ).
fof(f51,plain,
! [X0,X1] : times(sK2,times(X1,X0)) = times(sK0,times(X1,times(sK1,X0))),
inference(forward_demodulation,[],[f48,f40]) ).
fof(f52,plain,
! [X0,X1] : times(X0,times(X1,sK2)) = times(sK0,times(times(X1,sK1),X0)),
inference(forward_demodulation,[],[f50,f18]) ).
fof(f53,plain,
! [X0,X1] : times(X0,times(X1,sK2)) = times(sK0,times(sK1,times(X0,X1))),
inference(forward_demodulation,[],[f52,f18]) ).
fof(f72,plain,
! [X0,X1] : times(sK0,times(sK0,times(X0,X1))) = times(X0,times(X1,sK3(sK0))),
inference(superposition,[],[f40,f21]) ).
fof(f74,plain,
! [X0,X1] : times(sK1,times(sK1,times(X0,X1))) = times(X0,times(X1,sK3(sK1))),
inference(superposition,[],[f40,f20]) ).
fof(f75,plain,
! [X0,X1] : times(sK1,times(sK3(sK1),times(X0,X1))) = times(X0,times(X1,sK1)),
inference(superposition,[],[f40,f22]) ).
fof(f76,plain,
! [X0,X1] : times(sK0,times(sK3(sK0),times(X0,X1))) = times(X0,times(X1,sK0)),
inference(superposition,[],[f40,f23]) ).
fof(f267,plain,
times(sK1,sK3(sK1)) = times(sK3(sK1),sK1),
inference(superposition,[],[f27,f20]) ).
fof(f268,plain,
! [X0,X1] : times(sK3(sK1),times(X1,X0)) = times(sK1,times(X0,times(sK1,X1))),
inference(superposition,[],[f27,f18]) ).
fof(f272,plain,
! [X0,X1] : times(X0,times(sK1,times(X1,sK1))) = times(X1,times(sK3(sK1),X0)),
inference(superposition,[],[f40,f27]) ).
fof(f279,plain,
! [X0,X1] : times(X1,times(sK3(sK1),X0)) = times(X0,times(sK3(sK1),X1)),
inference(forward_demodulation,[],[f272,f27]) ).
fof(f281,plain,
sK1 = times(sK3(sK1),sK1),
inference(forward_demodulation,[],[f267,f22]) ).
fof(f295,plain,
( times(sK0,sK1) != times(sK1,times(sK0,times(sK1,times(sK2,sK0))))
| element(times(sK0,sK1)) ),
inference(superposition,[],[f44,f26]) ).
fof(f315,plain,
( times(sK0,sK1) != times(sK3(sK1),times(times(sK2,sK0),sK0))
| element(times(sK0,sK1)) ),
inference(forward_demodulation,[],[f295,f268]) ).
fof(f327,plain,
( times(sK0,sK1) != times(sK3(sK1),times(sK0,times(sK0,sK2)))
| element(times(sK0,sK1)) ),
inference(forward_demodulation,[],[f315,f18]) ).
fof(f337,plain,
( times(sK0,sK1) != times(sK0,times(sK2,times(sK3(sK1),sK0)))
| element(times(sK0,sK1)) ),
inference(forward_demodulation,[],[f327,f40]) ).
fof(f347,plain,
( times(sK0,sK1) != times(sK0,times(sK0,times(sK3(sK1),sK2)))
| element(times(sK0,sK1)) ),
inference(forward_demodulation,[],[f337,f279]) ).
fof(f357,plain,
( times(sK0,sK1) != times(sK3(sK1),times(sK2,sK3(sK0)))
| element(times(sK0,sK1)) ),
inference(forward_demodulation,[],[f347,f72]) ).
fof(f367,plain,
( sK2 != times(sK3(sK1),times(sK2,sK3(sK0)))
| element(times(sK0,sK1)) ),
inference(forward_demodulation,[],[f357,f11]) ).
fof(f377,plain,
( element(sK2)
| sK2 != times(sK3(sK1),times(sK2,sK3(sK0))) ),
inference(forward_demodulation,[],[f367,f11]) ).
fof(f387,plain,
sK2 != times(sK3(sK1),times(sK2,sK3(sK0))),
inference(forward_subsumption_resolution,[],[f377,f14]) ).
fof(f417,plain,
! [X0] : times(sK1,X0) = times(sK1,times(X0,sK3(sK1))),
inference(superposition,[],[f18,f281]) ).
fof(f424,plain,
times(sK0,sK3(sK0)) = times(sK3(sK0),sK0),
inference(superposition,[],[f28,f21]) ).
fof(f441,plain,
sK0 = times(sK3(sK0),sK0),
inference(forward_demodulation,[],[f424,f23]) ).
fof(f455,plain,
times(sK2,sK3(sK0)) = times(sK1,sK0),
inference(superposition,[],[f26,f441]) ).
fof(f458,plain,
! [X0] : times(sK0,X0) = times(sK0,times(X0,sK3(sK0))),
inference(superposition,[],[f18,f441]) ).
fof(f460,plain,
times(sK3(sK1),sK2) = times(sK1,sK0),
inference(superposition,[],[f45,f11]) ).
fof(f494,plain,
! [X0] : times(sK2,times(X0,sK3(sK1))) = times(times(sK1,sK0),X0),
inference(superposition,[],[f18,f460]) ).
fof(f495,plain,
! [X0] : times(sK2,times(X0,sK3(sK1))) = times(sK0,times(X0,sK1)),
inference(forward_demodulation,[],[f494,f18]) ).
fof(f499,plain,
! [X0,X1] : times(sK0,times(X1,X0)) = times(sK3(sK0),times(X0,times(sK0,X1))),
inference(superposition,[],[f46,f18]) ).
fof(f501,plain,
! [X0,X1] : times(X0,times(sK0,times(X1,sK3(sK0)))) = times(X1,times(sK0,X0)),
inference(superposition,[],[f40,f46]) ).
fof(f510,plain,
! [X0,X1] : times(X0,times(sK0,X1)) = times(X1,times(sK0,X0)),
inference(forward_demodulation,[],[f501,f458]) ).
fof(f512,plain,
! [X0,X1] : times(sK0,times(X1,X0)) = times(sK0,times(X1,times(sK3(sK0),X0))),
inference(forward_demodulation,[],[f499,f40]) ).
fof(f544,plain,
! [X0] : times(sK2,times(X0,sK3(sK0))) = times(sK0,times(X0,times(sK2,sK0))),
inference(superposition,[],[f51,f47]) ).
fof(f656,plain,
! [X0] : times(sK0,times(times(X0,sK0),sK2)) = times(sK0,times(sK1,times(sK3(sK0),X0))),
inference(superposition,[],[f53,f28]) ).
fof(f663,plain,
times(sK0,times(sK0,sK2)) = times(sK0,times(sK1,sK3(sK0))),
inference(superposition,[],[f53,f21]) ).
fof(f711,plain,
times(sK0,sK1) = times(sK0,times(sK0,sK2)),
inference(forward_demodulation,[],[f663,f458]) ).
fof(f718,plain,
! [X0] : times(sK0,times(sK1,X0)) = times(sK0,times(times(X0,sK0),sK2)),
inference(forward_demodulation,[],[f656,f512]) ).
fof(f735,plain,
sK2 = times(sK0,times(sK0,sK2)),
inference(forward_demodulation,[],[f711,f11]) ).
fof(f741,plain,
! [X0] : times(sK0,times(sK1,X0)) = times(sK0,times(sK0,times(sK2,X0))),
inference(forward_demodulation,[],[f718,f18]) ).
fof(f760,plain,
! [X0] : times(sK2,times(X0,sK3(sK0))) = times(sK0,times(sK1,X0)),
inference(forward_demodulation,[],[f741,f72]) ).
fof(f1002,plain,
! [X0] : times(sK2,times(sK0,X0)) = times(sK1,times(X0,sK3(sK0))),
inference(superposition,[],[f51,f72]) ).
fof(f1164,plain,
! [X0] : times(sK1,times(sK1,times(sK2,X0))) = times(sK1,times(times(X0,sK0),sK3(sK1))),
inference(superposition,[],[f74,f26]) ).
fof(f1241,plain,
! [X0] : times(sK1,times(X0,sK0)) = times(sK1,times(sK1,times(sK2,X0))),
inference(forward_demodulation,[],[f1164,f417]) ).
fof(f1270,plain,
! [X0] : times(sK1,times(X0,sK0)) = times(sK2,times(X0,sK3(sK1))),
inference(forward_demodulation,[],[f1241,f74]) ).
fof(f1298,plain,
! [X0] : times(sK1,times(X0,sK0)) = times(sK0,times(X0,sK1)),
inference(forward_demodulation,[],[f1270,f495]) ).
fof(f1323,plain,
! [X0] : times(sK2,X0) = times(sK0,times(X0,sK1)),
inference(forward_demodulation,[],[f1298,f26]) ).
fof(f1413,plain,
times(sK1,times(sK3(sK1),sK0)) = times(sK3(sK0),times(sK0,sK1)),
inference(superposition,[],[f75,f441]) ).
fof(f1420,plain,
times(sK1,times(sK3(sK1),sK0)) = times(sK0,times(sK3(sK0),sK1)),
inference(superposition,[],[f75,f23]) ).
fof(f1461,plain,
times(sK2,sK3(sK0)) = times(sK1,times(sK3(sK1),sK0)),
inference(forward_demodulation,[],[f1420,f1323]) ).
fof(f1467,plain,
times(sK1,times(sK3(sK1),sK0)) = times(sK1,times(sK0,sK3(sK0))),
inference(forward_demodulation,[],[f1413,f510]) ).
fof(f1498,plain,
times(sK2,sK3(sK0)) = times(sK2,sK3(sK1)),
inference(forward_demodulation,[],[f1461,f26]) ).
fof(f1503,plain,
times(sK1,times(sK3(sK1),sK0)) = times(sK2,times(sK0,sK0)),
inference(forward_demodulation,[],[f1467,f1002]) ).
fof(f1530,plain,
times(sK2,sK3(sK1)) = times(sK1,sK0),
inference(forward_demodulation,[],[f1498,f455]) ).
fof(f1534,plain,
times(sK0,times(sK0,sK2)) = times(sK1,times(sK3(sK1),sK0)),
inference(forward_demodulation,[],[f1503,f510]) ).
fof(f1562,plain,
times(sK0,times(sK0,sK2)) = times(sK2,sK3(sK1)),
inference(forward_demodulation,[],[f1534,f26]) ).
fof(f1581,plain,
times(sK0,times(sK0,sK2)) = times(sK1,sK0),
inference(forward_demodulation,[],[f1562,f1530]) ).
fof(f1591,plain,
sK2 = times(sK1,sK0),
inference(forward_demodulation,[],[f1581,f735]) ).
fof(f1647,plain,
times(sK1,times(sK3(sK0),sK0)) = times(sK0,times(sK3(sK0),times(sK2,sK0))),
inference(superposition,[],[f76,f47]) ).
fof(f1691,plain,
times(sK1,times(sK3(sK0),sK0)) = times(sK2,times(sK3(sK0),sK3(sK0))),
inference(forward_demodulation,[],[f1647,f544]) ).
fof(f1731,plain,
times(sK1,times(sK3(sK0),sK0)) = times(sK0,times(sK1,sK3(sK0))),
inference(forward_demodulation,[],[f1691,f760]) ).
fof(f1767,plain,
times(sK0,sK1) = times(sK1,times(sK3(sK0),sK0)),
inference(forward_demodulation,[],[f1731,f458]) ).
fof(f1799,plain,
times(sK0,sK1) = times(sK2,sK3(sK0)),
inference(forward_demodulation,[],[f1767,f26]) ).
fof(f1821,plain,
sK2 = times(sK2,sK3(sK0)),
inference(forward_demodulation,[],[f1799,f11]) ).
fof(f1854,plain,
sK2 != times(sK3(sK1),sK2),
inference(superposition,[],[f387,f1821]) ).
fof(f1869,plain,
sK2 != times(sK1,sK0),
inference(forward_demodulation,[],[f1854,f460]) ).
fof(f1873,plain,
$false,
inference(forward_subsumption_resolution,[],[f1869,f1591]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG210+2 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n010.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 19:43:34 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.71/1.20 % (2243688)Detected formulas, will run a generic FOF schedule.
% 2.71/1.20 % (2243762)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3504765784:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 2.71/1.20 % (2243762)Instruction limit reached!
% 2.71/1.20 % (2243762)------------------------------
% 2.71/1.20 % (2243762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.20 % (2243762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.20 % (2243762)CaDiCaL version: 2.1.3
% 2.71/1.20 % (2243762)Termination reason: Instruction limit
% 2.71/1.20 % (2243762)Termination phase: Saturation
% 2.71/1.20 % (2243762)Time elapsed: 0.070 s
% 2.71/1.20 % (2243762)Peak memory usage: 90 MB
% 2.71/1.20 % (2243762)Instructions burned: 141 (million)
% 2.71/1.20 % (2243763)dis-21_1_sil=8000:lcm=predicate:random_seed=273273284:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 2.71/1.20 % (2243763)Refutation not found, incomplete strategy
% 2.71/1.20 % (2243763)------------------------------
% 2.71/1.20 % (2243763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.20 % (2243763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.20 % (2243763)CaDiCaL version: 2.1.3
% 2.71/1.20 % (2243763)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.20 % (2243763)Time elapsed: 0.002 s
% 2.71/1.20 % (2243763)Peak memory usage: 88 MB
% 2.71/1.20 % (2243761)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1950392113:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 2.71/1.20 % (2243757)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4000741728:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 2.71/1.20 % (2243758)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1736707701:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 2.71/1.20 % (2243760)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1028127421:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 2.71/1.20 % (2243759)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3289371809:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 2.71/1.20 % (2243760)Refutation not found, incomplete strategy
% 2.71/1.20 % (2243760)------------------------------
% 2.71/1.20 % (2243760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.20 % (2243760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.20 % (2243760)CaDiCaL version: 2.1.3
% 2.71/1.20 % (2243760)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.20 % (2243760)Time elapsed: 0.002 s
% 2.71/1.20 % (2243760)Peak memory usage: 88 MB
% 2.71/1.20 % (2243761)Instruction limit reached!
% 2.71/1.20 % (2243761)------------------------------
% 2.71/1.20 % (2243761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.20 % (2243761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.20 % (2243761)CaDiCaL version: 2.1.3
% 2.71/1.20 % (2243761)Termination reason: Instruction limit
% 2.71/1.20 % (2243761)Termination phase: Saturation
% 2.71/1.20 % (2243761)Time elapsed: 0.106 s
% 2.71/1.20 % (2243761)Peak memory usage: 89 MB
% 2.71/1.20 % (2243761)Instructions burned: 119 (million)
% 2.71/1.20 % (2243774)lrs+10_1_sil=8000:sp=occurrence:random_seed=3704720019:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.71/1.20 % (2243774)First to succeed.
% 2.71/1.20 % (2243774)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2243688"
% 2.71/1.20 % (2243763)------------------------------
% 2.71/1.20 % (2243763)------------------------------
% 2.71/1.20 % (2243760)------------------------------
% 2.71/1.20 % (2243760)------------------------------
% 2.71/1.20 % (2243785)lrs+10_1_sil=32000:urr=on:br=off:random_seed=788151240:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 2.71/1.20 % (2243785)Also succeeded, but the first one will report.
% 2.71/1.20 % (2243774)Refutation found. Thanks to Tanya!
% 2.71/1.20 % SZS status Theorem for theBenchmark
% 2.71/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 5.81/1.47 % (2243774)------------------------------
% 5.81/1.47 % (2243774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.47 % (2243774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.47 % (2243774)CaDiCaL version: 2.1.3
% 5.81/1.47 % (2243774)Termination reason: Refutation
% 5.81/1.47 % (2243774)Time elapsed: 0.038 s
% 5.81/1.47 % (2243774)Peak memory usage: 89 MB
% 5.81/1.47 % (2243774)Instructions burned: 70 (million)
% 5.81/1.47 % (2243774)------------------------------
% 5.81/1.47 % (2243774)------------------------------
% 5.81/1.47 % (2243688)Success in time 0.754 s
% 5.81/1.47 % Vampire exiting
%------------------------------------------------------------------------------